#seeds 	codes
2,12,25,29,37,47,51,62,71,79,89,94,105,112,127,129,141,145,158,169,178,181,323,333,336,346,360,366,377,383,390,400,406,413,429,436,445,599,607,611,624,634,636,650,654,665,669,681,688,700,704,714,728,732,745,749,758,763,774,782,796,799,812,818,823,834,846,856,862,872,874,885,891,906,916,920,927,939,948,955,967,976,980,992,999,1002,1017,1024,1035,1042,1047,1057,1065,1072,1079,1087,1099,1111,1116,1130,1135,1141,1151,1159,1172	0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,17,28,37,43,51,67,71,84,87,97,109,117,122,135,144,148,161,162,178,317,322,329,340,346,356,367,376,385,394,396,404,420,429,435,439,458,601,612,618,630,638,647,655,669,674,685,690,697,707,719,725,735,742,747,757,769,773,782,788,798,808,818,824,834,847,852,860,869,882,890,898,906,909,921,926,938,944,956,966,973,980,990,1000,1004,1016,1021,1033,1036,1046,1056,1064,1072,1081,1088,1101,1112,1121,1122,1138,1144,1152,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,28,39,48,52,63,75,85,93,101,106,114,125,131,144,150,159,166,178,187,325,327,342,345,358,367,369,382,393,399,406,413,426,436,441,599,602,615,624,628,635,647,654,663,671,683,693,703,704,718,726,732,745,750,759,765,772,786,789,802,809,814,828,834,841,852,862,871,877,882,892,907,909,924,928,935,942,951,960,968,979,993,996,1003,1017,1021,1029,1039,1053,1061,1068,1072,1085,1087,1097,1109,1117,1126,1133,1146,1154,1162,1172	1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,18,26,40,50,55,60,74,80,85,96,109,113,125,133,142,148,157,166,172,187,319,331,337,349,356,368,375,379,388,400,403,416,426,437,441,600,605,612,623,627,637,645,654,661,673,685,690,700,704,719,722,737,739,751,761,763,774,786,795,805,807,817,828,834,843,852,862,871,876,889,891,901,914,923,926,939,950,954,962,969,980,987,994,1009,1018,1024,1029,1041,1049,1059,1062,1071,1081,1090,1104,1111,1120,1124,1135,1143,1153,1156,1170,1176	1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,10,18,31,36,50,55,61,70,79,89,96,108,117,127,135,137,150,155,166,178,186,325,332,343,347,354,362,375,379,394,398,407,419,422,431,442,600,602,611,621,635,636,647,653,664,676,679,689,701,704,719,722,732,741,754,759,768,778,786,793,798,812,816,830,831,848,856,864,870,878,886,894,906,915,923,930,937,942,952,959,972,978,988,998,1006,1017,1023,1036,1041,1053,1054,1064,1073,1081,1090,1099,1108,1120,1122,1133,1141,1149,1156,1166	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,8,19,32,34,48,56,66,74,79,93,100,105,119,122,134,137,146,154,167,175,179,322,330,342,348,360,362,371,382,388,398,411,415,423,437,439,465,607,611,624,633,639,649,656,661,676,683,691,695,704,718,724,737,738,748,759,766,774,785,795,803,807,817,823,839,842,856,861,873,878,891,895,907,908,921,929,937,946,955,967,970,983,989,999,1003,1015,1022,1034,1036,1047,1059,1066,1076,1086,1092,1104,1106,1113,1123,1133,1143,1151,1163,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,24,34,36,46,55,65,74,84,92,98,103,115,120,129,140,149,159,163,175,196,321,333,338,345,359,366,375,379,392,395,407,416,424,434,439,453,605,617,625,630,640,645,656,662,670,679,690,700,703,714,721,736,745,753,761,765,779,786,797,805,807,817,828,839,842,853,862,874,879,887,897,901,912,918,933,939,943,954,968,975,981,992,995,1002,1016,1023,1033,1036,1047,1057,1062,1077,1086,1094,1097,1111,1118,1127,1134,1144,1149,1158,1167	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,21,30,42,48,58,64,73,82,87,99,104,115,123,129,144,151,158,166,176,188,320,334,335,351,354,367,372,383,388,400,406,416,427,431,442,597,602,615,623,635,636,649,659,669,670,683,690,700,711,714,726,737,742,753,761,765,775,786,790,805,812,822,829,832,841,856,858,871,878,887,895,906,912,921,931,936,949,956,963,969,984,989,999,1004,1012,1027,1028,1039,1052,1059,1070,1074,1081,1090,1099,1105,1118,1122,1133,1146,1150,1162,1167	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,10,24,25,36,43,52,65,72,77,86,98,108,115,120,130,139,151,162,166,179,181,321,330,342,344,356,361,369,384,388,398,405,416,427,430,437,468,605,616,625,630,640,645,658,663,671,684,693,701,705,718,723,735,740,750,755,768,778,784,794,803,810,815,830,832,842,854,859,870,876,885,897,908,913,918,930,936,950,952,965,976,977,985,994,1010,1015,1021,1030,1043,1049,1061,1067,1074,1083,1087,1103,1109,1120,1123,1136,1145,1152,1160,1167,1178	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
6,14,24,26,39,45,54,65,74,83,90,101,103,118,126,130,144,145,161,170,175,183,324,333,336,344,355,368,376,385,395,398,405,416,422,436,438,600,602,610,621,632,641,649,657,665,671,685,694,701,709,719,723,730,746,750,758,771,774,782,792,799,810,814,823,831,847,853,858,869,880,890,892,900,910,924,925,935,944,952,967,968,977,992,994,1003,1018,1022,1027,1042,1049,1058,1068,1075,1085,1092,1100,1111,1114,1124,1138,1146,1147,1156,1166,1175	1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,21,31,39,48,59,60,71,77,85,94,105,114,121,130,142,151,158,168,172,314,319,327,342,348,359,368,371,384,392,397,411,417,425,434,445,600,604,612,626,629,640,651,656,666,670,682,692,697,707,717,722,737,742,746,755,770,779,781,791,802,807,821,828,839,844,852,864,872,877,886,895,904,915,920,930,940,949,953,965,971,983,989,994,1007,1011,1020,1034,1037,1050,1053,1070,1075,1080,1090,1104,1107,1114,1130,1133,1139,1149,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,31,38,45,57,64,72,85,90,97,110,113,121,131,139,151,161,165,174,313,321,335,336,344,358,366,377,384,392,399,409,417,426,429,440,596,607,615,620,632,638,644,654,666,670,677,692,694,705,712,721,734,742,746,755,764,773,786,796,798,808,815,830,834,845,854,859,867,882,887,898,904,913,920,931,936,947,958,960,975,980,990,1001,1006,1016,1026,1035,1044,1046,1056,1065,1074,1086,1087,1099,1107,1114,1129,1137,1139,1151,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,27,42,49,56,67,75,77,92,99,110,116,124,131,144,151,156,165,172,190,321,331,336,351,352,362,371,380,392,398,411,414,429,435,437,596,608,615,625,632,637,646,653,667,676,685,693,703,711,715,725,735,745,751,761,766,773,784,794,804,807,815,829,831,843,853,860,869,876,883,895,903,911,920,927,938,943,959,967,974,980,991,994,1008,1018,1022,1034,1042,1045,1053,1070,1072,1079,1093,1097,1106,1117,1123,1133,1139,1151,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,20,32,39,42,57,63,72,80,90,99,104,111,123,130,143,153,157,166,172,185,326,332,336,344,354,367,374,383,389,402,405,420,424,434,444,600,604,610,625,633,639,648,660,661,671,680,687,697,705,715,725,729,739,753,758,763,776,786,792,798,807,819,829,837,841,856,862,870,874,887,896,902,916,922,932,936,949,956,966,969,980,988,999,1009,1012,1019,1033,1039,1052,1057,1068,1078,1083,1089,1104,1108,1114,1128,1135,1139,1154,1160,1173,1175	1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,22,30,39,50,55,67,70,79,92,94,107,116,125,134,140,148,158,162,177,186,326,327,337,349,352,365,372,383,391,396,407,416,429,431,438,452,602,617,626,627,639,647,654,664,675,685,688,702,706,715,724,729,738,751,762,770,777,786,789,799,806,821,829,835,845,852,861,867,877,887,899,907,914,925,931,941,946,958,968,974,983,991,999,1008,1012,1025,1027,1043,1046,1055,1067,1078,1081,1091,1102,1107,1114,1125,1138,1146,1152,1158,1167	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,23,26,42,43,52,61,76,80,88,102,108,112,126,132,138,147,161,163,174,186,325,334,340,351,354,365,371,380,386,400,405,414,428,435,442,597,603,611,626,632,635,646,658,668,671,682,687,700,708,713,728,729,742,753,763,765,774,784,790,797,812,821,830,838,843,849,863,873,876,888,892,906,914,923,930,938,944,956,960,970,983,986,996,1003,1017,1023,1028,1044,1045,1062,1064,1077,1079,1091,1097,1108,1113,1125,1131,1143,1150,1157,1165,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,25,32,38,50,55,66,76,83,89,93,110,112,121,135,137,153,160,170,174,199,321,328,337,346,357,368,376,378,388,401,407,418,425,435,444,597,601,615,624,627,636,650,654,669,673,685,686,696,711,718,721,736,744,751,762,767,778,783,792,799,808,819,827,831,841,853,857,867,878,889,893,901,913,924,929,941,945,955,965,968,978,988,996,1005,1012,1023,1028,1041,1050,1054,1067,1072,1082,1095,1101,1110,1113,1127,1136,1147,1153,1158,1168,1176	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,11,19,30,42,47,53,64,74,76,90,100,105,119,123,134,137,150,161,168,177,317,321,331,336,351,359,365,371,382,387,402,404,418,423,437,443,600,603,610,626,627,643,648,655,665,677,684,688,703,708,714,726,732,745,752,759,763,779,786,789,799,807,820,828,838,840,848,857,872,876,885,896,899,909,922,927,934,945,957,962,968,982,990,995,1009,1019,1026,1035,1037,1048,1060,1064,1071,1084,1087,1100,1105,1120,1123,1137,1144,1154,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,30,34,50,56,66,73,83,91,97,109,112,120,132,137,152,162,163,173,191,326,330,340,344,356,368,374,386,387,400,406,414,427,435,442,447,601,615,622,628,641,648,660,666,676,678,687,695,703,712,724,729,737,748,759,771,775,783,792,802,809,816,825,831,844,856,857,866,875,883,897,901,911,921,929,940,949,952,961,970,984,992,1001,1008,1013,1024,1035,1044,1053,1060,1063,1076,1085,1089,1102,1107,1117,1129,1136,1141,1154,1160,1169,1176	0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
5,12,18,33,38,47,56,64,75,78,93,96,110,113,122,132,141,152,155,163,177,187,322,330,340,349,354,362,372,383,392,401,407,413,426,437,442,597,606,613,618,632,640,646,654,667,675,681,693,696,711,716,723,729,744,752,762,768,774,781,793,797,813,816,828,833,847,852,860,870,876,886,897,906,909,924,933,939,950,956,963,973,981,988,1000,1004,1011,1025,1034,1040,1050,1054,1066,1073,1085,1090,1100,1107,1114,1126,1136,1141,1151,1157,1166,1175	1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,24,32,40,50,54,66,74,79,90,98,105,117,123,135,141,151,155,168,172,183,321,330,338,346,359,362,375,385,389,403,407,417,426,435,440,596,604,615,620,628,636,644,658,665,671,685,693,702,707,713,720,734,742,747,760,769,774,784,792,804,808,819,823,834,848,854,860,873,882,886,898,900,913,922,929,938,944,953,966,972,983,993,1000,1006,1010,1023,1034,1042,1045,1058,1062,1073,1082,1092,1102,1107,1115,1129,1135,1140,1149,1157,1168,1173	1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,18,27,35,44,58,64,69,81,90,96,104,111,120,134,137,152,159,164,177,181,322,335,339,345,354,366,374,381,392,399,406,418,424,430,439,599,601,612,623,629,636,651,658,664,674,684,694,700,707,718,723,736,744,749,758,765,772,787,794,803,809,815,827,835,840,856,864,869,877,889,892,902,909,922,933,940,944,952,964,974,977,991,1001,1009,1014,1023,1033,1042,1048,1057,1069,1075,1085,1094,1104,1111,1120,1130,1135,1140,1148,1163,1169	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,19,33,35,45,58,64,75,82,93,102,109,112,122,132,139,147,156,164,173,185,319,331,341,351,358,369,374,381,393,398,410,417,421,432,440,598,604,612,625,633,639,644,654,662,670,685,686,697,710,719,720,731,743,749,760,768,775,783,792,802,808,817,822,835,848,856,859,867,882,883,891,904,913,921,932,941,946,958,964,976,981,988,995,1009,1011,1023,1028,1040,1048,1061,1066,1076,1085,1093,1096,1110,1119,1123,1137,1146,1155,1161,1167,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,22,34,38,45,53,63,69,79,85,94,103,113,125,134,137,148,157,165,172,185,325,327,343,345,357,368,372,378,391,395,407,413,429,434,445,597,608,614,625,627,637,650,653,666,674,684,687,697,710,715,723,735,739,747,759,768,777,783,791,804,807,820,828,835,842,855,859,872,876,889,899,903,909,919,926,937,949,951,967,974,985,990,1001,1004,1011,1024,1034,1044,1051,1060,1065,1072,1083,1090,1101,1113,1114,1123,1132,1140,1152,1156,1167,1176	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,19,31,36,48,54,61,76,80,86,99,109,118,121,130,136,151,161,168,172,180,324,328,336,344,358,368,369,384,391,399,405,420,427,430,438,599,605,613,625,631,636,651,654,661,677,683,687,695,705,718,728,734,737,750,754,769,771,781,791,798,808,818,826,837,844,853,858,872,877,890,898,903,914,921,929,935,947,953,960,971,981,991,995,1008,1014,1027,1032,1038,1050,1055,1065,1071,1080,1088,1102,1104,1114,1128,1134,1141,1151,1160,1164,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
5,16,22,27,39,49,56,62,71,84,93,101,104,119,126,131,138,153,157,165,178,193,322,328,337,348,357,361,375,382,389,395,411,420,429,437,440,598,608,616,624,631,639,647,660,661,670,678,691,697,706,720,726,731,744,749,759,764,772,784,789,802,808,819,830,840,844,853,857,867,880,889,892,908,916,917,928,941,945,959,967,970,979,987,999,1010,1014,1019,1035,1038,1048,1057,1069,1073,1087,1088,1103,1108,1114,1124,1130,1141,1148,1157,1168,1174	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,21,25,41,45,56,61,75,80,90,97,105,118,125,132,137,146,159,164,175,316,318,333,341,345,359,366,371,381,391,400,405,413,423,433,443,449,604,615,624,634,639,650,652,669,672,678,694,695,711,717,725,737,740,746,756,767,772,781,794,803,813,822,829,837,840,851,859,871,874,886,896,903,908,919,927,936,944,956,964,975,983,989,995,1009,1018,1027,1028,1041,1047,1060,1069,1078,1080,1094,1101,1110,1115,1125,1134,1144,1155,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,22,31,42,43,55,63,72,83,92,96,103,111,124,130,143,149,156,165,171,315,323,328,340,346,355,364,375,378,392,400,406,412,420,435,445,459,607,616,621,632,640,644,655,667,670,684,691,699,711,719,722,731,740,747,760,763,780,788,796,798,807,820,830,838,843,853,864,873,877,888,898,900,908,920,926,940,942,956,961,974,978,986,999,1002,1013,1026,1029,1043,1047,1054,1069,1076,1082,1087,1104,1109,1118,1128,1134,1140,1151,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,25,28,41,46,57,61,69,78,87,99,110,112,120,130,136,146,154,167,175,184,319,328,335,346,354,368,376,379,386,400,412,416,429,434,442,599,604,610,622,631,638,644,652,665,671,677,694,695,704,712,723,730,739,753,757,768,772,788,793,797,807,822,823,839,846,853,862,870,881,890,891,901,915,923,931,941,947,953,960,972,977,993,997,1009,1016,1020,1035,1040,1050,1057,1063,1076,1087,1096,1103,1106,1113,1122,1138,1139,1148,1164,1167,1178	1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,18,29,37,43,58,64,76,77,93,97,102,112,124,134,140,152,161,169,178,185,324,332,338,350,356,361,373,385,388,402,411,418,421,430,446,597,603,613,618,627,635,648,653,660,676,684,693,697,711,713,725,737,744,747,759,771,773,781,791,797,814,819,823,838,846,856,861,869,876,883,894,900,910,920,931,941,949,955,960,972,977,986,996,1002,1011,1027,1034,1040,1050,1055,1067,1072,1084,1088,1098,1107,1115,1122,1134,1144,1154,1159,1167,1177	1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,17,33,40,49,52,64,70,77,85,99,103,112,121,136,140,149,154,167,174,187,319,329,338,346,355,366,377,381,393,395,406,420,424,430,440,596,608,611,620,631,635,645,655,665,671,678,690,697,707,720,726,731,738,751,755,769,771,786,797,800,807,820,823,833,844,848,860,867,880,888,894,907,910,921,931,935,944,957,963,970,982,988,1001,1005,1013,1019,1029,1037,1049,1055,1063,1073,1080,1090,1103,1112,1114,1129,1136,1139,1147,1161,1165,1177	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,21,25,39,47,51,64,72,77,90,95,105,118,120,136,140,145,155,162,175,182,322,333,342,351,354,363,372,385,392,403,408,420,421,431,446,458,607,611,622,627,635,648,660,668,671,685,693,695,708,717,728,733,743,749,756,767,779,784,794,802,805,820,823,838,845,850,859,874,880,886,898,903,912,917,933,941,948,952,961,972,977,990,994,1008,1019,1020,1033,1037,1047,1055,1064,1078,1084,1094,1103,1112,1115,1125,1138,1145,1149,1158,1164,1178	0,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,13,21,30,37,50,51,59,71,83,91,94,106,118,123,133,144,151,153,166,177,185,325,333,335,344,359,361,372,380,394,402,411,414,425,431,445,458,602,615,620,628,640,649,658,660,672,686,693,696,710,715,724,729,744,748,757,769,774,781,795,805,810,818,831,840,847,853,863,869,881,890,893,899,915,923,930,941,944,952,961,974,978,987,994,1010,1019,1024,1035,1038,1052,1056,1066,1075,1086,1090,1100,1109,1120,1128,1133,1143,1149,1156,1172,1178	1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,8,21,30,41,46,57,62,72,76,93,101,109,119,121,134,142,153,159,164,175,313,321,326,336,351,354,364,372,382,392,400,411,416,429,432,438,599,602,614,619,631,636,646,657,669,674,681,688,698,711,715,727,729,738,748,757,770,771,784,796,801,810,821,826,835,840,856,861,869,874,888,891,901,916,923,928,941,950,955,966,969,985,987,994,1009,1015,1027,1036,1040,1048,1053,1064,1072,1084,1087,1103,1111,1119,1129,1132,1141,1153,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,32,39,48,54,65,73,77,91,101,105,116,120,131,138,149,158,162,178,183,318,331,339,352,355,361,374,378,389,399,407,413,426,437,445,447,603,610,619,629,640,644,653,668,669,681,686,698,708,714,723,734,742,753,756,766,776,785,793,797,806,818,826,837,845,851,859,871,882,885,895,907,916,919,932,936,949,957,963,974,985,990,996,1008,1012,1026,1027,1044,1045,1054,1062,1073,1086,1092,1101,1111,1121,1126,1138,1145,1153,1157,1164	1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,22,29,38,48,52,63,72,82,92,96,105,114,124,133,138,146,162,169,178,192,323,330,342,344,352,364,372,385,388,396,404,417,422,432,440,599,602,617,625,633,642,651,660,667,670,684,690,695,710,716,723,735,741,749,757,770,778,784,791,802,812,816,827,832,847,855,859,871,875,889,893,903,913,919,927,941,946,959,961,971,977,988,1002,1010,1017,1022,1028,1042,1047,1055,1067,1070,1086,1090,1102,1111,1117,1123,1138,1144,1153,1162,1170	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,33,38,44,53,64,75,81,89,97,105,118,125,133,139,147,161,162,174,186,326,328,340,349,355,363,374,385,391,396,404,417,421,436,441,596,604,611,624,634,639,650,660,664,675,682,692,700,707,715,724,729,739,747,754,766,779,781,791,801,807,818,824,837,841,851,865,870,878,890,894,905,909,919,927,942,944,957,967,971,980,992,997,1008,1018,1021,1029,1040,1052,1060,1066,1071,1079,1088,1101,1107,1116,1123,1133,1142,1153,1160,1169,1178	1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,19,32,41,44,54,66,76,78,87,94,110,118,124,136,139,145,158,165,174,181,322,331,343,347,360,363,374,382,388,395,403,413,423,437,440,596,605,611,621,628,635,646,658,667,672,684,687,698,711,714,726,730,742,750,756,771,778,782,791,798,811,821,823,833,845,854,861,871,874,888,896,901,911,919,929,941,948,957,960,968,982,991,1002,1005,1015,1024,1030,1043,1046,1062,1063,1070,1082,1089,1100,1105,1117,1124,1138,1142,1154,1164,1169,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,17,31,38,45,55,64,71,79,87,96,109,118,127,129,137,148,154,168,173,184,324,331,341,349,352,366,376,381,390,399,406,415,424,437,441,598,606,613,620,627,637,651,654,664,673,679,689,695,711,716,721,735,743,751,754,770,778,787,792,797,809,817,830,839,848,849,860,868,875,885,895,904,909,918,932,941,950,953,967,970,982,985,998,1010,1012,1026,1036,1044,1046,1054,1062,1072,1083,1090,1097,1106,1118,1124,1131,1144,1153,1157,1170	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
1,9,23,30,42,50,58,68,72,78,86,102,105,111,127,132,138,153,158,169,171,184,321,328,338,347,359,365,369,382,387,395,408,415,421,437,445,449,601,612,624,632,636,643,653,661,673,679,689,699,706,720,725,731,744,748,759,771,774,786,793,797,807,817,823,832,846,856,863,866,881,889,898,904,912,922,927,940,944,959,960,972,979,992,996,1010,1013,1024,1031,1038,1049,1059,1063,1076,1083,1092,1096,1106,1119,1130,1131,1142,1154,1162,1165,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,19,26,42,44,59,62,70,80,91,99,108,118,119,128,143,147,160,163,178,194,326,332,342,351,358,368,375,382,393,397,407,417,426,433,437,455,608,614,623,632,641,650,660,661,670,682,691,695,711,715,727,729,742,746,756,763,780,782,793,804,808,815,829,839,848,853,857,870,876,890,894,900,914,917,928,936,945,955,963,976,982,987,998,1005,1017,1022,1031,1044,1052,1056,1064,1077,1086,1093,1099,1107,1115,1130,1134,1142,1147,1161,1169,1173	0,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
6,10,23,30,35,47,53,63,73,83,91,95,106,118,126,131,140,153,160,169,175,182,322,327,339,351,353,362,373,383,392,403,404,418,422,434,439,596,602,611,620,628,642,647,657,669,677,684,688,699,708,718,723,735,743,751,755,771,772,780,792,797,807,818,826,832,843,856,861,871,874,885,897,907,911,921,931,940,947,952,963,971,984,993,1001,1010,1012,1021,1034,1044,1048,1054,1065,1072,1083,1094,1098,1110,1114,1123,1134,1141,1149,1159,1172,1176	0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,16,21,30,40,49,51,63,68,84,90,96,103,117,123,135,136,151,159,168,179,313,318,333,337,351,356,361,372,380,390,403,410,413,428,430,445,598,604,616,625,630,636,649,655,668,671,681,693,696,711,717,721,734,743,750,756,770,775,785,789,802,810,817,829,839,840,850,858,867,874,886,896,907,915,919,932,940,944,954,965,975,980,985,993,1010,1015,1027,1035,1041,1046,1053,1069,1074,1083,1089,1096,1112,1121,1123,1131,1144,1147,1163,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,30,37,46,59,61,76,81,90,98,106,112,126,135,138,152,155,162,179,317,321,328,342,348,358,362,376,380,392,399,404,415,427,434,444,597,609,616,621,632,639,651,656,660,676,682,693,699,705,714,721,733,743,750,756,769,777,785,797,805,812,818,824,832,847,849,858,872,878,883,897,906,914,923,926,940,946,954,960,969,980,988,994,1006,1016,1022,1031,1044,1047,1058,1069,1075,1082,1093,1097,1110,1117,1122,1138,1140,1153,1163,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,17,25,35,46,54,60,72,82,86,94,106,111,122,135,141,150,154,165,172,184,322,333,341,347,354,366,370,386,389,397,411,414,425,435,440,599,608,609,618,627,637,645,660,662,670,679,694,701,703,719,724,730,742,751,757,770,777,783,795,800,813,820,824,836,847,853,861,868,880,887,894,904,913,920,926,940,946,954,961,968,978,990,994,1006,1016,1027,1034,1041,1048,1054,1069,1073,1087,1090,1097,1108,1114,1127,1137,1139,1148,1158,1171,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,33,39,48,52,64,74,83,91,96,108,113,126,135,143,152,160,165,175,181,324,332,339,350,355,369,377,379,388,396,407,415,424,437,439,461,608,609,623,630,641,644,657,661,669,678,694,698,708,714,726,730,737,750,757,766,775,784,791,800,808,818,827,836,844,853,864,867,879,883,893,900,915,924,927,934,944,956,967,969,983,992,998,1010,1013,1020,1027,1043,1046,1054,1066,1071,1087,1093,1099,1113,1118,1127,1137,1144,1150,1163,1171,1173	1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,15,25,26,41,43,55,62,70,80,86,99,110,119,121,129,144,152,156,170,172,182,324,333,341,352,358,364,370,380,390,396,405,419,423,430,443,599,608,616,625,627,639,648,652,665,677,681,688,703,705,718,726,734,745,751,757,764,774,781,794,800,808,817,828,833,840,852,860,873,875,884,899,900,911,922,932,938,946,951,961,973,981,987,995,1010,1011,1021,1029,1042,1053,1057,1067,1071,1081,1089,1096,1109,1121,1128,1132,1143,1155,1161,1173,1176	1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,24,28,39,48,55,64,72,77,87,99,105,113,123,132,140,148,156,162,173,188,321,332,335,350,354,364,376,382,390,398,409,414,424,429,444,597,602,612,618,632,639,647,654,665,673,681,688,702,709,717,724,737,738,751,757,764,774,787,790,805,806,819,830,836,847,855,862,870,881,885,899,906,908,917,926,935,946,957,960,974,980,989,994,1003,1014,1024,1032,1042,1045,1060,1065,1070,1082,1091,1098,1108,1118,1123,1136,1141,1155,1163,1169,1173	1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,24,33,35,50,59,61,69,84,89,97,102,111,123,129,138,149,161,163,176,180,323,333,342,349,359,364,369,381,394,398,411,420,421,429,443,469,601,615,623,633,636,645,653,660,671,683,693,700,707,716,720,734,744,746,755,768,779,788,793,803,809,814,827,838,840,855,857,871,875,887,897,905,912,917,931,939,946,951,967,969,980,987,996,1007,1012,1021,1031,1039,1046,1057,1068,1077,1083,1094,1100,1111,1117,1128,1135,1141,1152,1156,1164,1175	1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,24,27,38,49,57,67,70,85,92,102,104,113,119,131,142,153,158,168,174,313,326,330,339,350,357,366,371,380,390,399,409,419,424,432,445,469,607,617,626,630,638,648,657,665,672,680,693,702,707,719,722,732,740,752,755,767,773,787,790,803,811,815,826,833,841,854,865,871,881,883,897,904,915,923,931,936,949,955,964,969,982,985,996,1004,1011,1019,1033,1043,1046,1061,1067,1076,1081,1093,1098,1110,1119,1127,1137,1147,1154,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,30,35,48,56,67,72,79,88,97,108,116,126,132,145,151,161,169,171,180,323,329,339,347,360,362,374,379,394,395,405,415,422,433,441,453,609,613,618,629,643,644,658,666,670,679,687,702,708,715,724,734,740,749,758,763,773,781,795,797,811,821,825,836,845,852,857,867,875,884,893,904,909,918,931,942,949,958,965,970,983,991,999,1004,1016,1025,1035,1042,1046,1058,1066,1075,1079,1092,1097,1105,1119,1124,1136,1140,1152,1162,1172,1174	0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,19,32,34,43,56,62,69,80,93,101,104,113,126,136,143,151,160,170,171,185,325,326,335,346,354,367,372,384,393,398,410,417,427,431,446,600,604,613,620,628,637,648,656,668,672,680,692,699,706,715,725,730,744,754,763,771,773,787,793,805,806,816,826,835,840,853,864,869,880,886,893,903,908,923,926,940,947,954,961,976,980,989,996,1002,1012,1020,1029,1038,1049,1059,1067,1073,1084,1095,1096,1112,1120,1124,1134,1142,1150,1163,1170	0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,21,28,34,49,53,64,68,80,93,98,110,116,121,135,144,149,154,163,178,181,319,335,336,346,359,362,372,378,391,402,403,419,422,432,443,600,606,613,622,626,637,650,657,664,672,678,691,697,709,716,727,732,745,748,763,771,773,786,793,797,807,816,828,835,843,848,861,868,877,884,896,900,913,921,931,934,950,958,963,974,979,991,996,1009,1017,1023,1036,1040,1045,1055,1069,1078,1079,1089,1098,1109,1116,1126,1130,1140,1147,1161,1170,1175	1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,13,17,31,39,50,56,67,74,83,87,95,107,116,120,130,141,148,158,169,178,183,325,332,338,349,358,369,372,378,387,396,406,417,424,432,439,462,602,609,618,631,640,648,659,666,670,681,694,698,703,712,728,736,743,751,761,766,778,782,794,798,812,819,828,833,845,853,857,869,876,889,895,906,912,919,931,935,947,955,966,975,981,987,998,1008,1011,1020,1036,1041,1048,1058,1067,1072,1086,1089,1101,1105,1119,1124,1130,1144,1147,1160,1166,1175	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,25,30,41,43,55,61,69,84,85,98,105,116,120,130,141,149,158,164,178,180,320,333,338,350,358,368,375,385,392,395,404,416,422,436,444,598,605,612,619,630,637,651,655,663,675,679,686,698,709,716,721,737,743,754,755,771,780,783,791,804,806,816,830,833,846,851,865,869,879,885,897,902,911,919,933,937,950,951,959,973,983,988,999,1002,1015,1023,1029,1040,1053,1058,1068,1078,1083,1094,1099,1105,1121,1128,1137,1139,1151,1163,1165	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
3,9,25,28,40,50,59,60,72,82,89,97,107,119,121,132,141,148,157,163,175,189,321,330,342,345,354,363,372,381,391,397,409,412,423,429,439,600,606,610,623,631,641,646,654,668,676,680,694,698,710,711,720,736,745,747,758,766,779,780,792,799,809,815,829,834,843,851,858,873,876,889,892,905,909,925,926,941,942,956,966,969,981,986,994,1005,1011,1024,1031,1044,1047,1057,1065,1076,1081,1088,1096,1107,1121,1127,1134,1140,1148,1157,1164,1175	0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
3,15,20,33,36,50,58,63,73,84,88,94,106,112,125,130,145,147,156,170,175,183,323,331,335,350,356,365,375,382,390,397,407,418,428,433,439,460,606,612,618,628,640,647,655,667,674,679,692,703,710,719,726,731,739,752,757,766,779,783,790,801,811,816,825,832,846,850,859,873,880,887,898,904,913,917,925,941,947,952,960,975,984,987,994,1002,1011,1027,1034,1037,1049,1059,1064,1078,1082,1092,1100,1111,1121,1122,1133,1142,1149,1159,1167,1175	1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,23,33,37,43,58,66,68,79,90,97,110,117,120,128,142,150,154,164,172,183,325,331,343,349,360,362,372,378,391,403,407,417,426,432,443,598,607,615,625,626,640,646,659,667,677,679,694,699,704,713,728,737,741,749,758,766,771,783,788,798,810,814,827,836,840,855,865,866,877,885,893,900,916,918,927,938,949,954,963,975,982,991,1000,1003,1011,1027,1032,1038,1045,1054,1064,1073,1086,1092,1097,1106,1115,1129,1137,1145,1152,1158,1171	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0
1,14,17,33,35,44,58,63,70,81,90,98,104,111,120,133,143,152,159,169,179,315,323,328,340,347,353,364,371,381,390,395,409,414,423,434,441,600,603,610,620,630,636,651,657,663,674,682,687,698,706,712,725,729,740,753,754,765,776,782,796,798,807,822,828,837,840,852,861,865,881,885,891,903,915,924,926,938,944,957,966,971,980,987,997,1010,1014,1025,1032,1044,1049,1055,1062,1077,1081,1087,1104,1106,1113,1130,1131,1143,1148,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,28,35,49,57,61,69,84,89,99,110,113,120,134,137,146,156,165,178,314,325,331,335,343,356,365,375,378,388,400,409,415,424,437,438,599,607,609,624,630,642,649,659,663,672,686,693,696,709,715,720,736,745,752,761,770,777,787,794,803,806,814,825,831,845,849,861,872,874,887,892,907,909,923,932,942,948,958,961,972,984,988,994,1010,1017,1027,1030,1043,1045,1061,1064,1071,1083,1091,1100,1106,1115,1122,1137,1139,1150,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,34,39,46,55,67,71,77,90,100,106,113,122,131,144,145,155,163,173,180,323,334,339,344,359,368,373,379,390,398,403,419,427,431,443,469,607,613,622,633,642,648,659,661,676,681,692,698,709,715,726,731,744,753,762,768,772,787,795,802,809,822,830,836,845,855,860,872,875,890,895,907,913,919,932,937,943,953,960,969,979,991,1001,1005,1011,1022,1034,1044,1050,1059,1064,1079,1080,1093,1101,1105,1119,1126,1137,1146,1149,1157,1164,1178	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,24,29,38,45,57,64,75,83,93,97,108,116,125,128,142,146,162,167,172,181,320,332,340,344,360,365,370,378,393,401,410,412,426,435,443,598,602,611,623,629,641,646,652,668,670,685,686,702,710,714,723,731,738,748,762,765,780,787,797,802,808,822,825,833,845,853,861,872,876,890,898,903,910,922,927,941,950,951,960,969,982,989,995,1009,1015,1023,1031,1038,1052,1061,1064,1078,1087,1091,1102,1105,1114,1130,1132,1146,1154,1157,1169,1177	1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,16,20,32,39,43,56,65,76,79,93,97,106,116,125,133,140,151,157,165,173,181,321,327,340,345,357,365,377,381,394,400,409,414,422,432,445,466,608,617,626,627,637,647,659,665,677,682,691,702,704,719,721,735,743,753,762,764,771,781,790,797,807,819,828,835,840,849,861,869,882,888,898,905,914,917,933,937,946,959,961,971,981,991,996,1005,1016,1019,1035,1036,1048,1060,1065,1073,1081,1090,1098,1107,1120,1122,1130,1142,1149,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,15,17,32,38,44,52,61,74,82,91,95,108,111,127,132,142,145,153,164,174,189,319,328,339,347,352,367,373,380,386,399,404,415,424,433,440,460,606,613,620,634,641,646,659,662,676,681,691,700,704,716,725,732,745,754,760,763,775,786,792,804,811,816,828,834,844,852,864,873,882,887,898,900,908,922,929,942,947,951,962,974,980,986,1000,1004,1014,1023,1035,1039,1051,1058,1062,1079,1087,1092,1096,1109,1115,1128,1134,1141,1152,1162,1172	0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1
8,12,24,29,39,49,57,62,72,78,92,100,109,111,125,133,141,149,161,163,176,317,320,329,337,347,355,361,376,379,388,403,404,412,427,435,437,600,608,611,622,633,637,644,659,668,672,685,689,695,708,718,727,733,744,748,760,771,776,787,789,803,814,816,829,837,841,854,863,867,880,888,898,900,908,923,932,934,944,956,965,968,978,991,994,1009,1017,1027,1028,1038,1049,1060,1064,1075,1082,1091,1104,1112,1116,1126,1135,1147,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,24,30,34,47,55,67,70,81,92,100,110,116,126,134,142,152,155,169,173,313,322,327,340,344,356,369,372,380,394,397,405,412,427,429,443,598,601,615,622,628,635,645,660,668,675,679,694,699,705,719,728,729,740,746,754,771,779,781,795,803,807,817,824,831,840,851,862,868,875,889,895,901,911,925,932,940,948,954,959,972,977,991,995,1007,1010,1019,1034,1037,1051,1060,1069,1078,1083,1089,1099,1109,1118,1128,1138,1144,1150,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,25,41,45,58,65,73,81,88,98,103,114,119,135,136,151,158,167,175,180,324,330,339,349,355,362,373,386,387,399,409,418,427,433,444,459,606,616,624,634,643,651,656,662,676,680,689,700,710,718,728,735,740,752,761,764,780,785,789,804,813,821,826,832,842,855,858,868,882,887,893,906,915,921,927,935,947,956,964,973,980,991,999,1010,1012,1026,1029,1039,1053,1054,1064,1077,1086,1095,1100,1112,1115,1122,1135,1141,1152,1156,1167,1176	1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,22,29,42,49,55,60,71,77,93,99,110,118,125,129,137,148,157,167,171,183,318,333,343,344,354,366,377,385,393,399,407,417,420,436,446,596,605,612,619,631,637,650,655,666,676,678,691,698,710,718,728,732,742,751,757,767,776,786,795,799,807,815,831,833,846,849,863,867,880,889,891,904,914,922,932,936,947,956,963,974,983,991,998,1006,1011,1020,1035,1041,1053,1059,1065,1072,1082,1092,1104,1110,1120,1130,1136,1146,1153,1160,1165,1176	1,0,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,11,23,33,37,48,51,61,72,84,90,101,110,116,120,129,143,148,160,169,172,183,326,327,342,351,356,366,377,385,390,398,407,415,427,437,444,460,604,610,625,634,641,645,659,666,675,679,693,696,711,712,728,736,739,753,758,765,776,785,790,798,811,816,825,833,843,856,865,867,878,885,895,901,908,919,926,938,950,956,966,975,984,986,994,1006,1011,1022,1033,1039,1048,1061,1068,1074,1081,1093,1098,1112,1117,1128,1130,1144,1152,1160,1166,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
6,12,17,29,37,48,52,60,72,79,90,101,103,111,124,133,140,148,157,168,175,183,323,328,336,351,355,364,372,384,386,396,409,417,425,429,441,452,602,612,625,626,640,645,652,667,671,680,688,700,711,716,724,735,743,754,761,764,779,787,793,797,807,820,830,831,842,852,859,867,882,887,894,905,913,917,927,939,945,951,962,974,978,990,1000,1005,1014,1021,1031,1041,1046,1053,1066,1075,1086,1089,1097,1111,1113,1126,1135,1144,1154,1162,1170	1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,12,22,26,42,44,56,64,76,78,87,95,105,116,119,132,142,147,154,169,176,179,321,335,341,351,354,365,370,382,394,403,411,418,423,434,443,453,605,611,618,627,643,651,655,667,674,683,692,702,711,720,722,732,738,749,762,765,779,782,792,804,807,821,830,834,841,848,862,870,874,887,897,908,912,919,927,934,944,951,966,969,984,992,993,1005,1016,1027,1031,1044,1047,1058,1063,1074,1084,1091,1096,1111,1120,1128,1138,1144,1150,1163,1167,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,12,21,26,39,44,56,67,70,80,87,100,106,117,122,133,142,149,157,170,174,316,319,332,337,344,353,362,371,384,393,399,410,416,423,431,441,600,607,613,624,626,635,648,652,668,676,680,690,699,709,720,722,731,743,749,754,763,779,782,791,799,807,817,830,835,841,851,859,872,876,889,896,901,913,925,928,936,948,953,960,972,979,987,997,1002,1013,1024,1034,1037,1051,1059,1065,1072,1082,1089,1100,1108,1120,1126,1134,1139,1153,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,13,21,33,39,42,55,67,75,84,85,98,104,116,121,129,139,151,155,169,179,190,320,328,338,352,356,366,375,384,393,401,405,419,425,433,442,599,606,616,619,626,635,647,655,660,670,678,694,700,710,714,724,732,743,747,760,769,779,781,795,799,812,822,831,832,846,855,864,869,874,888,898,907,916,924,928,941,947,952,963,972,980,988,1000,1006,1012,1023,1033,1041,1047,1060,1070,1079,1085,1093,1100,1105,1119,1125,1131,1142,1147,1163,1168,1176	1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,17,24,30,41,46,58,62,70,84,88,98,104,116,123,136,139,150,155,169,171,181,326,333,338,347,356,366,371,386,392,401,406,415,420,433,438,597,608,613,621,630,642,646,658,667,672,683,688,700,703,717,722,732,738,754,758,768,771,787,794,799,807,820,830,837,845,849,862,868,879,890,892,906,916,920,927,936,950,957,960,974,984,992,999,1008,1014,1026,1029,1043,1051,1061,1067,1072,1086,1092,1102,1105,1116,1125,1132,1144,1149,1163,1170,1177	0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
3,8,22,26,35,47,51,65,68,81,92,95,106,113,120,133,138,148,159,169,177,318,321,331,335,346,356,361,371,382,393,401,404,419,428,433,439,466,601,609,622,633,636,646,654,668,673,678,686,697,705,718,724,735,737,754,760,765,773,783,795,803,813,817,826,839,841,854,858,867,877,886,896,902,909,919,933,938,945,953,965,970,981,990,995,1007,1015,1019,1029,1041,1049,1057,1066,1075,1082,1095,1101,1112,1117,1127,1137,1144,1150,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,30,35,50,55,67,69,79,92,98,108,117,121,132,141,148,159,164,174,313,318,334,338,344,357,363,374,379,390,400,407,416,427,436,440,598,600,610,620,634,641,651,654,664,673,678,691,701,704,716,723,731,739,752,756,770,775,787,791,800,811,820,823,834,846,849,858,871,875,884,893,900,914,919,931,937,943,955,967,975,977,985,995,1010,1018,1021,1032,1042,1047,1058,1063,1076,1080,1094,1102,1107,1118,1124,1133,1142,1155,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,17,30,39,49,54,67,76,82,92,98,103,117,119,135,138,147,156,167,171,186,325,333,337,345,357,367,370,381,390,402,407,419,427,431,445,596,609,616,622,634,639,647,658,661,672,682,688,698,704,715,725,733,743,746,758,767,774,786,792,799,813,818,829,836,842,852,859,872,878,889,898,906,909,918,927,939,944,953,962,976,982,991,996,1004,1017,1025,1035,1039,1046,1054,1068,1072,1079,1087,1098,1112,1117,1124,1137,1140,1152,1163,1166,1177	1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,24,31,42,48,58,65,70,80,89,99,103,118,122,129,139,146,162,168,175,182,319,333,340,346,358,361,371,379,389,395,409,414,424,430,446,597,604,609,625,629,639,651,660,666,672,684,690,696,711,713,727,732,743,753,763,767,774,784,791,803,807,818,829,834,841,853,861,874,882,889,897,907,911,921,925,934,949,953,967,968,977,985,994,1002,1011,1021,1035,1038,1045,1055,1068,1074,1086,1088,1096,1107,1113,1125,1133,1142,1154,1164,1166	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,20,32,37,44,55,61,74,83,92,100,105,119,120,130,138,147,158,164,173,187,323,331,340,349,356,363,375,381,389,396,411,414,421,430,438,450,607,610,626,630,636,651,655,665,675,682,688,700,704,713,728,734,745,749,756,764,777,785,794,803,805,815,827,831,847,855,864,873,880,885,899,900,911,923,929,937,950,956,965,968,979,992,997,1004,1011,1020,1030,1038,1047,1056,1063,1073,1084,1095,1103,1108,1121,1129,1134,1141,1151,1161,1166	1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,18,33,40,49,55,66,73,80,89,98,110,112,127,129,143,147,155,165,171,207,321,328,343,349,356,366,371,381,387,398,409,413,425,431,444,453,606,611,621,628,641,647,660,662,676,685,689,702,707,713,726,737,739,752,762,768,776,785,793,797,807,815,828,834,841,853,865,866,878,887,898,902,911,922,930,936,950,959,963,968,981,990,996,1005,1013,1019,1036,1041,1045,1056,1068,1076,1080,1096,1102,1108,1119,1122,1130,1142,1150,1161,1167,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,10,20,30,42,50,56,60,70,77,87,99,105,112,120,134,138,146,158,166,175,191,323,332,337,348,358,369,377,382,389,402,410,420,424,435,443,596,607,609,620,630,642,645,659,664,673,680,687,698,711,712,725,732,743,747,755,771,780,786,797,802,808,814,826,839,847,850,859,872,878,890,896,908,910,919,926,940,945,954,959,975,983,986,997,1009,1013,1026,1036,1043,1047,1055,1067,1075,1082,1091,1103,1111,1113,1125,1134,1140,1149,1160,1172,1175	1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,19,32,41,43,56,60,76,83,86,94,104,111,123,136,143,150,156,167,177,317,320,331,339,347,359,368,371,385,392,397,408,413,424,436,442,599,606,610,622,631,641,647,660,662,675,677,690,703,705,712,721,731,739,753,757,767,773,788,789,799,808,821,828,836,846,853,857,868,882,890,896,904,909,920,931,934,947,954,965,973,978,990,997,1009,1015,1019,1034,1038,1045,1056,1064,1073,1080,1090,1101,1112,1120,1127,1131,1145,1155,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,17,31,35,44,55,64,73,79,91,95,110,111,124,128,140,152,159,167,175,183,320,327,342,347,358,363,376,382,388,402,410,417,420,434,446,596,605,610,621,632,639,643,654,664,672,680,687,702,707,712,720,730,739,752,754,767,776,784,788,805,811,817,825,833,848,853,860,867,882,885,895,903,910,923,928,934,948,957,964,970,982,991,998,1003,1018,1027,1029,1036,1046,1055,1066,1078,1085,1092,1101,1111,1120,1122,1132,1146,1152,1161,1170,1176	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,13,17,28,40,45,54,60,71,79,87,94,107,111,125,132,139,145,156,168,176,179,323,333,335,346,355,364,376,379,386,399,407,419,426,431,440,460,606,610,619,630,635,645,652,667,670,683,691,702,710,714,727,735,744,751,756,770,778,783,791,803,808,816,825,832,846,853,858,870,879,889,895,907,916,923,930,934,944,954,965,971,982,992,996,1006,1011,1021,1034,1040,1050,1062,1069,1073,1085,1088,1099,1106,1120,1130,1135,1143,1149,1164,1167,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,21,31,37,47,55,62,71,82,87,95,105,111,126,136,141,148,156,170,172,193,323,328,341,344,353,367,370,381,386,400,411,417,429,433,441,465,608,616,619,634,641,648,653,667,669,683,689,696,710,718,725,732,738,752,762,771,773,780,790,797,809,819,828,835,846,853,862,871,882,883,897,907,913,922,927,934,945,957,960,969,977,986,994,1009,1018,1023,1035,1036,1047,1060,1065,1078,1083,1090,1096,1109,1118,1123,1133,1146,1151,1159,1166,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,24,26,39,46,52,62,71,80,92,99,103,114,127,135,137,148,154,166,175,179,318,329,339,345,352,363,369,385,387,397,410,418,422,436,443,450,602,612,618,630,641,643,652,661,672,681,693,702,704,716,725,731,741,751,756,765,776,788,796,805,814,815,830,833,842,850,862,872,879,888,893,901,916,922,931,937,945,951,967,975,977,992,999,1010,1019,1021,1033,1038,1052,1056,1067,1072,1081,1093,1100,1113,1118,1122,1137,1146,1151,1163,1171	0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,13,21,30,36,46,52,62,69,85,87,96,106,118,121,131,141,152,159,167,172,189,319,329,343,346,360,361,370,384,386,398,410,415,420,431,442,459,603,613,624,626,636,647,660,666,673,681,692,696,708,713,726,729,746,753,762,764,774,783,792,801,812,820,828,834,845,852,857,870,879,884,895,906,915,917,925,936,942,957,964,972,976,987,995,1008,1014,1025,1030,1039,1047,1055,1069,1077,1086,1094,1100,1110,1119,1126,1134,1144,1154,1162,1171,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,22,29,40,45,59,67,73,78,93,102,107,111,127,128,137,145,155,167,178,180,323,328,340,345,359,365,376,385,387,397,411,418,426,436,441,466,603,616,621,634,641,651,654,662,673,682,690,695,705,719,722,735,743,752,755,767,773,780,794,801,812,816,828,835,846,856,859,870,876,889,895,905,913,924,926,942,947,953,960,972,982,986,997,1003,1014,1023,1032,1039,1046,1056,1068,1077,1082,1090,1102,1106,1118,1124,1132,1140,1148,1157,1171	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,18,32,40,48,53,61,71,79,92,95,110,119,125,129,144,148,158,165,178,182,322,333,335,345,354,368,371,386,388,395,410,416,425,435,442,469,602,613,624,627,638,650,654,668,675,679,686,699,706,714,723,732,742,749,760,766,772,786,795,801,806,818,831,837,841,850,858,866,881,889,898,906,913,923,927,941,948,951,960,976,984,989,1001,1003,1017,1026,1029,1042,1046,1059,1068,1071,1086,1093,1097,1107,1114,1122,1137,1141,1153,1159,1169	1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,16,17,31,35,49,54,66,71,79,86,94,103,115,119,133,143,153,160,163,176,189,319,335,337,349,352,362,370,385,390,398,409,415,427,437,440,596,603,611,619,626,639,650,656,661,674,678,689,701,711,719,726,736,744,748,761,765,779,783,796,801,810,820,828,831,841,853,857,868,880,890,898,907,912,919,932,936,947,952,960,976,981,985,998,1003,1017,1026,1028,1041,1047,1061,1069,1074,1084,1091,1100,1113,1116,1129,1134,1143,1154,1158,1168,1173	1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,21,26,38,45,59,63,70,83,91,94,108,115,124,132,141,147,155,166,174,313,320,329,338,348,353,362,374,382,388,397,408,415,425,431,443,460,608,611,619,626,642,649,658,662,676,678,691,700,704,717,724,732,741,747,762,764,776,786,795,802,812,818,829,837,844,852,864,870,874,887,891,902,915,918,929,935,942,951,964,975,984,991,999,1007,1015,1021,1028,1041,1050,1059,1064,1078,1086,1093,1100,1112,1119,1129,1137,1143,1148,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,23,28,37,47,54,63,69,77,93,101,103,118,126,134,145,152,158,164,177,314,324,327,339,347,353,363,377,383,392,400,408,420,424,435,442,598,602,616,625,631,641,651,653,667,676,682,690,696,707,720,723,731,745,751,760,766,780,786,795,800,809,820,823,835,846,856,865,868,881,887,892,899,910,922,926,939,946,952,961,973,980,985,999,1005,1012,1024,1030,1038,1049,1057,1069,1073,1084,1090,1098,1108,1119,1122,1134,1146,1150,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,28,35,46,56,60,72,82,86,101,102,116,121,131,140,152,161,168,171,183,323,331,339,344,352,366,369,383,393,402,407,416,421,433,440,461,608,614,622,631,639,644,658,666,676,677,691,698,708,714,724,735,744,753,759,770,779,788,795,803,807,818,826,834,840,856,860,872,877,886,896,903,912,919,928,937,943,951,966,972,982,988,993,1007,1017,1021,1031,1038,1050,1055,1063,1077,1079,1091,1102,1111,1118,1123,1136,1142,1154,1159,1167,1175	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,17,31,40,47,58,61,72,79,91,100,109,112,126,135,141,146,153,165,174,192,323,331,341,344,353,362,372,378,390,401,411,414,423,433,441,468,604,611,626,633,635,646,652,663,670,680,694,697,709,715,722,733,742,752,761,765,773,783,792,799,806,817,823,835,841,850,862,872,876,882,898,902,912,923,928,940,946,955,962,973,979,991,995,1006,1017,1027,1031,1041,1046,1057,1065,1077,1084,1087,1097,1109,1114,1124,1134,1146,1152,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,17,32,36,47,57,65,73,83,88,100,103,116,128,130,142,149,156,166,173,187,319,333,339,348,358,363,374,382,389,398,406,416,428,433,439,462,603,617,620,631,635,651,655,668,673,681,689,701,707,717,727,735,744,748,759,768,780,782,789,799,806,818,824,839,841,857,860,867,875,888,899,905,915,922,930,938,949,954,962,969,980,992,1001,1007,1019,1021,1035,1041,1047,1056,1062,1076,1086,1092,1103,1104,1118,1127,1133,1144,1150,1158,1173,1174	1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,17,32,37,46,58,63,75,83,91,96,108,116,120,128,144,152,161,167,174,179,319,328,335,351,354,366,371,378,386,398,409,416,428,437,441,470,608,616,624,629,639,649,659,666,676,679,689,695,708,715,721,730,744,748,762,763,775,788,796,799,807,817,830,835,844,854,861,869,877,886,898,900,909,918,931,936,944,957,965,968,985,991,1000,1004,1017,1020,1033,1042,1049,1056,1065,1074,1084,1091,1102,1105,1115,1122,1137,1142,1154,1156,1171,1178	1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,23,30,39,50,52,60,69,85,89,102,109,114,126,128,137,151,160,167,177,187,320,329,339,348,354,365,374,382,389,396,404,419,426,434,443,596,601,616,625,629,642,649,658,661,674,683,693,696,708,716,724,736,738,748,757,766,771,784,794,805,808,818,830,835,841,856,864,866,877,889,891,902,910,920,926,941,943,959,964,971,983,988,994,1010,1018,1022,1031,1037,1048,1055,1062,1073,1086,1093,1101,1111,1121,1126,1130,1141,1152,1156,1164,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,22,33,37,51,58,61,70,81,92,94,102,115,124,130,141,146,159,170,176,313,326,332,337,348,359,368,377,381,389,396,404,413,425,437,440,596,602,610,619,631,642,648,654,663,671,679,694,695,707,714,722,736,741,753,761,770,776,782,796,804,809,818,827,838,841,856,859,873,877,883,892,904,912,922,928,934,949,953,961,975,982,993,997,1007,1015,1025,1028,1040,1049,1056,1065,1077,1079,1089,1098,1111,1121,1126,1135,1143,1147,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,26,38,46,55,61,70,78,93,94,108,119,122,133,142,151,160,170,176,196,319,330,340,351,359,361,375,378,388,402,410,419,426,429,440,450,603,613,624,628,639,647,653,661,675,678,693,695,710,718,723,737,738,751,756,766,779,783,793,803,808,815,823,833,841,850,859,868,881,885,891,905,909,922,933,941,944,951,960,970,981,991,993,1007,1012,1024,1029,1044,1045,1056,1063,1073,1084,1094,1104,1111,1114,1126,1131,1139,1148,1160,1170	1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,13,24,26,40,45,55,61,72,81,86,100,106,115,128,130,138,150,160,170,171,184,321,330,337,349,358,365,371,381,387,403,407,416,428,437,445,599,601,614,618,634,639,649,653,666,677,685,694,699,708,717,725,731,744,753,761,770,777,781,796,799,807,815,826,833,848,849,857,865,879,884,892,902,908,916,930,937,947,956,963,972,982,992,994,1003,1018,1023,1030,1036,1051,1061,1067,1071,1081,1094,1102,1112,1120,1126,1133,1145,1151,1162,1167,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0
4,13,23,26,36,44,51,60,74,80,90,96,107,116,121,135,138,147,157,169,177,183,323,328,336,347,352,361,373,381,392,397,403,419,427,436,440,454,603,610,621,634,635,646,652,666,674,684,688,695,703,717,721,736,740,752,757,766,775,783,789,799,811,820,828,833,845,849,857,872,874,891,892,906,913,919,925,934,950,955,962,972,978,990,1000,1010,1013,1022,1030,1043,1045,1060,1067,1076,1081,1088,1099,1112,1120,1127,1138,1143,1147,1158,1171	1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
4,11,18,28,41,44,51,67,69,79,92,94,106,111,120,136,142,150,157,165,178,199,322,328,341,349,359,369,371,385,394,400,408,415,424,431,441,451,605,612,622,633,637,649,656,661,675,680,690,700,705,713,720,730,742,749,758,768,779,782,792,801,811,821,826,837,847,856,860,867,878,883,891,905,914,922,926,935,945,953,968,970,980,985,997,1008,1016,1022,1029,1040,1047,1054,1063,1073,1084,1095,1101,1105,1121,1127,1132,1146,1155,1161,1165,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,11,17,27,36,48,53,68,75,77,90,99,109,112,123,131,143,145,159,164,172,182,319,332,338,345,352,362,373,380,388,398,406,418,427,436,442,458,604,615,622,632,639,645,657,663,676,681,688,702,708,716,725,735,741,753,761,763,779,788,793,800,805,818,823,835,848,851,863,873,877,883,897,900,915,922,933,939,944,957,959,975,983,992,1000,1006,1011,1023,1033,1038,1051,1054,1069,1072,1083,1091,1099,1111,1120,1129,1134,1141,1149,1162,1169	1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,24,33,37,44,57,67,70,79,88,98,104,117,125,131,137,146,156,165,176,195,321,328,342,344,355,368,376,381,388,396,408,419,423,436,440,596,606,617,625,634,641,647,652,668,676,679,687,696,710,713,726,735,738,754,762,768,772,786,793,802,811,814,824,839,847,852,857,869,878,890,895,906,908,918,931,941,950,954,964,973,984,989,998,1004,1016,1022,1030,1038,1051,1059,1063,1071,1079,1095,1103,1112,1119,1127,1137,1140,1151,1162,1165	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,11,23,33,36,44,52,61,70,85,89,98,105,119,121,135,142,152,157,170,178,181,320,330,342,346,357,361,371,380,392,396,408,418,425,436,438,597,608,616,619,634,639,650,654,666,677,683,694,700,707,713,721,732,744,751,758,765,779,786,790,799,811,818,825,836,843,852,857,867,880,888,898,907,910,920,931,935,944,956,960,974,984,985,1000,1004,1011,1020,1028,1043,1045,1058,1070,1073,1081,1095,1101,1105,1119,1127,1135,1145,1155,1158,1170,1176	1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,20,29,34,44,54,66,74,80,88,100,109,116,122,133,138,150,159,166,177,182,325,330,340,345,355,362,376,380,392,396,403,418,426,436,442,448,609,613,622,629,635,649,660,666,675,678,692,703,710,717,725,734,740,746,756,764,773,780,794,798,808,821,823,836,845,856,863,872,877,889,898,907,911,916,925,940,946,951,964,971,984,993,997,1005,1012,1024,1028,1040,1048,1054,1069,1075,1080,1090,1097,1107,1117,1128,1135,1142,1149,1161,1169	1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,16,23,27,41,47,53,63,76,82,86,100,110,112,123,129,138,153,157,167,175,313,323,329,343,345,355,366,373,385,388,397,404,412,426,430,442,599,607,611,623,628,636,648,652,664,670,681,694,699,705,717,726,732,744,747,757,768,780,787,792,801,812,822,830,834,845,856,865,872,879,886,898,904,912,922,933,941,947,952,967,971,979,991,999,1009,1018,1022,1028,1036,1049,1053,1065,1078,1085,1090,1102,1109,1116,1128,1135,1146,1153,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,29,37,47,56,64,71,78,89,102,104,112,120,132,136,150,158,168,178,316,321,326,340,345,359,362,377,383,393,401,410,417,423,431,444,467,604,614,624,627,642,646,658,666,669,685,688,701,708,715,725,734,742,752,760,763,776,788,795,798,807,818,829,835,844,855,864,866,877,887,898,905,908,917,926,939,943,956,961,974,984,992,996,1002,1012,1020,1034,1041,1048,1060,1068,1079,1084,1091,1103,1105,1114,1127,1131,1146,1150,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,22,26,39,46,52,65,69,79,89,100,102,115,126,132,142,146,159,163,173,189,319,333,343,345,359,361,370,380,387,397,408,416,423,431,446,598,602,612,620,634,640,649,653,661,671,679,687,695,709,718,727,733,742,749,762,763,780,782,791,800,812,821,824,831,846,848,863,867,882,888,893,907,911,920,925,935,945,958,961,969,981,989,999,1009,1015,1026,1032,1037,1052,1061,1066,1076,1084,1090,1102,1107,1113,1128,1138,1141,1148,1160,1171	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,22,33,40,48,53,59,73,81,88,100,108,116,127,135,140,145,161,162,173,181,321,332,336,346,357,363,371,378,390,398,411,416,428,436,443,598,604,611,623,630,641,645,659,665,669,686,692,695,711,712,720,730,738,752,761,764,773,784,792,800,805,814,830,833,840,854,857,867,875,889,898,902,915,924,928,935,947,954,963,968,983,992,996,1006,1012,1027,1029,1042,1050,1054,1069,1070,1079,1087,1097,1112,1118,1129,1132,1142,1152,1162,1167,1174	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,19,31,41,49,57,63,75,84,86,94,108,112,121,134,143,153,157,166,176,181,318,330,341,344,357,361,376,380,390,399,408,415,422,437,440,598,607,613,618,634,639,651,654,666,673,681,686,700,705,714,721,731,739,746,762,766,772,784,795,802,814,816,830,839,846,854,865,866,877,887,891,901,908,924,927,934,944,956,960,968,983,993,1000,1009,1018,1020,1031,1043,1051,1056,1064,1073,1083,1088,1100,1112,1117,1126,1132,1146,1149,1163,1165	1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,11,19,27,40,42,52,67,74,81,91,102,104,119,123,130,142,148,157,167,177,183,324,326,339,348,356,364,374,385,394,398,404,419,427,434,441,597,605,616,626,627,642,651,656,664,673,682,688,695,703,715,724,737,743,753,757,768,773,785,795,802,811,820,829,839,848,851,862,869,877,885,891,903,915,922,932,938,949,952,967,974,977,986,998,1008,1016,1024,1030,1037,1053,1058,1062,1078,1084,1090,1102,1109,1119,1125,1135,1139,1149,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,10,22,26,41,46,57,59,74,82,88,97,109,115,125,136,143,149,156,162,177,193,320,333,341,344,352,364,374,378,390,399,411,418,422,430,444,596,605,614,626,633,636,645,652,660,676,680,690,702,704,720,726,737,745,748,759,767,773,786,790,802,810,814,824,834,844,850,859,869,878,883,894,901,909,922,931,941,946,953,965,974,984,990,994,1008,1017,1024,1035,1039,1046,1057,1066,1072,1084,1091,1098,1106,1113,1127,1132,1144,1150,1164,1166,1175	0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,15,17,29,40,46,57,64,75,80,92,94,104,116,122,129,140,153,160,165,173,314,321,329,341,351,352,366,377,382,393,403,407,416,423,430,445,449,608,616,620,632,641,645,656,664,671,685,692,695,710,716,722,732,738,747,759,769,776,783,791,805,806,818,823,837,843,856,859,867,878,883,891,906,913,922,926,935,946,958,963,970,979,993,994,1007,1012,1020,1035,1044,1046,1054,1066,1073,1086,1092,1097,1106,1117,1128,1136,1143,1154,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,33,39,45,51,66,75,84,88,99,102,114,124,135,139,148,161,169,179,190,318,334,336,345,360,368,372,383,387,401,410,419,422,436,443,454,608,614,620,631,639,650,658,668,672,683,688,700,705,715,724,736,741,747,760,765,777,786,792,800,806,816,825,836,845,850,865,869,878,884,892,906,911,924,926,938,945,959,966,969,984,993,1000,1009,1016,1023,1029,1044,1047,1059,1065,1076,1086,1088,1099,1111,1116,1123,1136,1142,1151,1163,1168,1173	1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,15,22,32,40,46,56,60,75,80,89,98,104,112,121,131,140,146,161,162,170,180,322,334,342,344,360,361,373,385,387,395,408,417,426,437,438,456,603,610,618,631,638,645,659,665,675,682,688,698,707,719,727,737,742,749,762,769,774,787,794,801,812,818,826,832,848,852,859,868,879,886,899,905,910,919,928,940,946,954,963,971,982,991,998,1007,1017,1023,1035,1044,1047,1060,1068,1071,1079,1089,1101,1108,1118,1121,1132,1146,1148,1163,1167,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1
5,16,20,31,34,46,51,65,72,84,89,97,107,111,121,134,138,150,160,163,176,183,326,330,342,345,353,361,369,382,391,397,410,414,428,434,443,470,606,613,623,630,641,643,656,668,673,683,689,702,706,712,728,730,739,754,762,766,771,780,790,800,809,821,830,838,848,854,864,866,878,885,895,906,916,917,930,938,946,955,963,976,979,993,994,1008,1016,1023,1033,1041,1047,1057,1065,1072,1086,1090,1101,1107,1120,1126,1130,1140,1151,1164,1168	1,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,24,32,39,42,56,67,71,85,87,99,109,118,123,129,140,150,159,167,174,181,318,328,340,350,357,366,372,383,390,397,411,416,421,431,442,457,601,612,618,630,636,650,659,666,672,679,687,698,711,712,723,734,738,748,760,770,778,788,792,801,813,817,822,835,842,855,857,869,876,888,896,900,913,924,932,934,943,955,965,972,981,990,996,1005,1013,1027,1029,1043,1045,1054,1069,1071,1080,1095,1097,1106,1117,1129,1138,1139,1154,1156,1167	0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,18,32,42,43,52,59,74,80,91,100,107,117,124,129,136,146,154,170,175,314,324,332,341,345,359,365,371,378,390,399,407,419,422,431,445,600,607,616,625,630,638,651,659,668,671,682,691,695,704,718,721,737,743,748,756,767,777,788,790,797,806,821,827,834,841,852,862,873,881,890,899,901,913,923,928,934,950,956,962,971,980,992,994,1006,1016,1026,1029,1039,1046,1058,1063,1075,1082,1091,1096,1106,1120,1127,1135,1146,1151,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0
4,11,22,26,38,47,54,60,75,83,92,100,103,113,122,130,142,153,159,170,176,179,321,332,336,350,356,366,375,378,388,397,405,419,425,435,440,596,603,612,622,634,642,646,654,663,673,684,687,698,708,719,722,733,742,750,755,770,774,785,795,805,812,814,828,832,844,856,858,872,876,886,894,899,911,923,932,941,948,956,961,969,979,988,996,1010,1017,1023,1035,1039,1045,1059,1065,1073,1084,1095,1096,1112,1119,1127,1132,1142,1153,1162,1171	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
2,15,20,33,35,49,51,63,73,79,88,94,104,115,127,130,144,147,155,165,175,186,323,330,338,345,355,363,370,381,393,400,410,418,424,434,444,468,607,616,619,628,639,649,657,663,673,679,693,697,711,714,723,732,742,753,762,765,772,780,790,802,813,822,826,832,843,849,858,872,881,888,894,903,916,918,932,940,946,955,967,972,978,988,995,1007,1018,1024,1032,1036,1053,1055,1066,1079,1087,1092,1102,1112,1114,1127,1138,1140,1155,1164,1166,1178	1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,24,28,39,42,54,61,69,77,91,100,104,112,124,134,141,152,156,165,172,186,318,330,338,347,360,368,376,381,389,400,408,417,428,436,438,598,602,616,620,634,640,644,659,662,676,682,692,700,710,717,723,730,745,748,761,770,777,781,793,801,813,817,828,836,840,852,858,870,880,886,891,905,908,920,925,937,947,956,966,976,977,988,1000,1007,1015,1027,1030,1040,1052,1059,1063,1077,1082,1090,1100,1110,1114,1122,1135,1145,1150,1158,1169	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,14,17,30,37,45,54,61,70,77,91,98,103,115,127,131,137,146,157,165,172,313,324,327,338,351,358,366,372,382,390,396,406,416,427,430,445,598,604,610,626,629,641,649,652,664,672,679,693,696,706,715,724,734,740,748,763,764,780,783,793,802,809,815,823,838,843,855,862,870,878,888,897,906,914,922,930,936,944,955,961,969,983,989,1000,1010,1013,1024,1031,1041,1049,1056,1067,1073,1082,1088,1100,1108,1116,1129,1138,1144,1150,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,28,39,45,53,66,70,76,88,99,110,117,123,135,142,152,157,163,176,317,324,330,340,351,352,366,373,381,394,400,407,412,421,433,440,470,605,612,618,631,636,650,657,666,676,681,687,703,711,715,720,731,738,754,755,764,775,782,794,805,809,817,828,834,840,855,857,873,874,886,899,902,911,921,932,935,949,951,964,974,979,987,996,1006,1014,1021,1030,1044,1053,1057,1064,1073,1085,1092,1101,1110,1118,1126,1133,1139,1152,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,28,37,43,58,61,71,80,91,95,103,116,126,133,139,153,160,168,174,184,325,328,337,344,358,363,371,386,393,401,405,417,423,435,440,458,601,609,619,627,636,647,652,668,676,679,688,697,709,714,725,734,739,748,755,765,779,780,792,804,809,815,827,836,841,854,861,871,878,888,894,903,915,921,933,939,950,956,960,970,981,986,1001,1003,1013,1021,1029,1044,1047,1055,1068,1072,1081,1094,1098,1106,1120,1129,1138,1146,1148,1156,1167,1173	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,15,18,31,37,45,58,60,72,80,89,98,104,117,123,133,143,151,159,169,175,182,319,330,339,344,356,366,371,380,387,397,408,419,426,432,442,600,601,613,625,627,639,650,655,666,670,684,692,699,710,719,721,734,742,746,761,770,773,788,796,804,814,815,823,833,842,854,858,865,879,886,897,908,914,922,930,936,946,957,962,971,980,988,996,1008,1012,1021,1036,1040,1045,1053,1067,1074,1083,1095,1098,1109,1118,1124,1133,1144,1148,1164,1166	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,21,26,35,45,59,63,73,84,92,95,110,118,122,133,142,148,157,166,179,185,323,329,341,350,360,361,374,382,388,402,410,419,423,430,440,598,604,613,619,634,635,643,660,665,673,684,693,697,707,720,724,734,741,747,761,769,778,787,791,803,807,815,828,837,843,851,864,870,880,883,895,904,911,919,926,938,944,958,962,972,978,985,996,1005,1013,1024,1035,1041,1050,1060,1069,1073,1084,1095,1104,1108,1120,1126,1132,1146,1152,1161,1172	1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,20,25,38,48,51,61,69,82,93,95,108,117,123,131,143,145,155,167,177,188,318,335,343,349,353,361,370,385,394,398,406,419,427,432,445,468,608,616,623,632,640,644,656,662,676,678,688,696,703,714,723,735,743,752,760,771,779,783,795,797,811,819,828,832,845,849,859,867,875,885,891,900,915,918,926,940,948,955,963,973,979,989,999,1008,1015,1024,1028,1042,1047,1060,1064,1073,1079,1094,1099,1111,1115,1128,1134,1146,1149,1161,1170,1173	0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
8,14,24,33,41,43,52,65,69,83,93,98,110,117,119,130,140,148,157,162,173,183,325,332,338,349,356,361,376,382,394,399,404,415,428,432,441,597,606,610,618,635,642,645,660,663,677,681,687,698,704,716,726,735,741,754,758,767,779,781,790,799,812,816,824,837,844,854,860,869,880,887,895,900,915,919,926,940,947,955,966,971,976,988,1000,1007,1014,1022,1035,1040,1049,1057,1066,1073,1085,1087,1102,1109,1116,1127,1134,1144,1152,1156,1168,1178	1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,18,29,41,49,58,64,73,78,86,102,106,114,120,128,143,148,159,168,176,317,325,328,335,348,360,361,372,383,389,395,408,418,425,433,442,463,607,609,620,629,636,646,657,665,677,682,690,698,711,718,722,730,741,754,762,767,776,786,795,805,811,817,830,832,844,848,862,870,876,888,899,902,914,919,926,935,945,956,967,973,984,990,1001,1006,1014,1019,1034,1037,1047,1057,1070,1075,1085,1091,1096,1108,1119,1127,1130,1144,1150,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,25,39,48,57,60,68,77,91,96,109,114,121,135,143,148,160,168,176,182,321,329,343,349,354,363,370,384,387,401,406,414,421,433,441,451,606,609,621,634,638,647,652,662,675,683,691,695,707,715,728,730,744,754,758,771,780,787,796,803,805,820,831,839,843,851,864,872,875,885,894,901,912,917,927,934,949,958,967,973,984,990,997,1007,1012,1025,1034,1037,1049,1058,1066,1073,1083,1090,1102,1111,1117,1128,1138,1140,1153,1157,1164	0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,20,34,41,47,55,62,70,83,90,100,108,113,124,135,137,148,157,164,177,180,326,333,342,349,360,366,374,382,389,396,410,420,426,434,440,469,603,610,622,634,637,648,655,669,677,680,694,701,709,717,728,732,742,753,756,770,777,787,790,798,807,819,826,833,847,855,862,872,881,885,899,907,913,923,932,937,945,952,962,968,980,988,1001,1008,1018,1020,1029,1040,1049,1053,1066,1071,1081,1092,1098,1105,1119,1127,1135,1145,1155,1156,1172	0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,23,30,39,48,55,66,75,83,89,97,108,113,126,132,144,152,155,163,172,189,325,332,338,349,360,367,371,385,394,398,404,412,425,434,443,596,603,614,618,626,642,644,657,662,673,679,691,699,707,718,722,731,745,750,756,769,778,783,789,798,812,821,830,837,844,851,861,869,874,883,897,899,910,922,926,935,944,953,967,968,980,993,995,1006,1011,1021,1030,1043,1047,1057,1068,1071,1085,1087,1104,1108,1116,1125,1138,1141,1151,1163,1171	0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,24,25,40,48,53,64,68,80,89,96,108,119,124,128,144,149,153,164,173,179,323,332,335,346,358,363,370,378,390,397,411,419,423,433,439,453,604,613,618,629,636,649,652,667,670,685,692,698,711,720,724,735,740,748,756,765,777,780,789,803,809,822,825,833,847,848,861,871,875,884,899,905,910,921,929,935,947,957,967,976,977,991,995,1002,1011,1024,1035,1039,1049,1056,1065,1070,1080,1093,1100,1108,1115,1130,1135,1142,1151,1162,1167,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,16,24,26,35,47,57,63,74,78,88,95,103,119,124,133,138,151,157,170,176,183,321,333,341,345,355,368,377,384,392,398,409,413,426,430,438,596,603,611,621,629,641,649,660,666,676,682,689,698,706,714,727,730,744,752,761,765,779,788,792,802,808,817,827,835,841,848,858,869,880,886,894,901,912,923,927,935,944,954,965,971,978,990,995,1006,1013,1026,1031,1041,1050,1061,1063,1075,1084,1088,1101,1112,1116,1121,1138,1143,1147,1162,1170,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
3,12,19,26,36,48,54,61,76,84,88,99,105,112,121,133,142,147,158,170,174,184,323,330,343,348,359,367,373,382,391,403,411,416,421,435,440,596,606,610,619,634,636,646,656,660,672,678,692,700,707,712,728,730,739,752,755,770,775,782,791,805,812,817,823,839,848,851,859,873,875,890,896,900,912,923,926,934,948,953,963,968,982,991,993,1009,1016,1023,1027,1041,1050,1057,1063,1075,1083,1089,1100,1106,1115,1127,1136,1140,1148,1158,1171,1177	1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,21,32,35,47,54,60,68,78,90,101,106,116,126,134,140,151,156,166,176,188,326,332,336,344,356,363,370,384,387,401,412,419,427,433,441,596,606,617,619,629,643,647,652,664,675,679,687,698,704,712,726,731,742,747,759,764,772,782,790,805,813,816,823,833,845,849,859,870,879,886,897,902,914,922,928,940,945,954,966,976,979,993,995,1002,1017,1024,1031,1042,1050,1055,1066,1074,1083,1091,1096,1108,1119,1124,1132,1141,1155,1158,1165	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,19,28,42,50,52,61,69,78,89,98,105,111,127,130,144,152,160,166,178,182,324,329,337,348,360,365,376,384,390,396,408,414,423,437,442,466,606,612,619,632,642,648,659,666,670,678,691,700,709,718,722,730,742,754,757,765,772,787,796,798,808,814,823,839,848,851,857,872,876,883,896,903,909,924,927,938,947,951,966,974,983,991,1000,1008,1013,1024,1029,1036,1051,1053,1070,1072,1081,1093,1104,1111,1113,1126,1135,1146,1150,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,12,20,28,35,48,53,60,72,83,90,98,104,113,127,135,144,151,159,163,179,316,324,334,337,352,353,369,374,379,393,399,412,418,424,431,444,598,604,616,622,632,641,649,656,664,676,679,687,701,705,716,728,733,745,746,759,769,772,780,791,801,811,818,829,834,841,854,857,874,875,884,897,903,910,917,932,940,951,955,967,970,979,991,1000,1002,1017,1027,1033,1038,1045,1055,1067,1077,1080,1087,1101,1109,1121,1127,1133,1141,1152,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,18,31,35,46,54,62,75,77,93,95,105,114,124,130,137,146,161,168,172,317,318,329,342,344,354,361,376,379,387,396,407,412,426,434,442,451,603,614,625,632,635,648,652,668,671,680,691,698,707,715,721,736,742,747,757,768,775,784,795,802,810,820,830,838,841,852,864,872,880,887,892,904,910,922,926,938,942,959,965,973,977,991,994,1004,1013,1027,1029,1044,1053,1056,1065,1078,1079,1090,1101,1111,1118,1127,1132,1145,1149,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,24,30,37,46,54,67,75,80,92,100,107,113,127,128,144,153,156,163,171,194,318,327,336,346,357,368,375,383,389,395,406,418,423,433,442,599,605,617,618,631,638,647,656,663,674,680,687,695,704,716,721,737,741,748,758,764,778,781,792,799,806,815,829,834,847,853,865,872,880,889,894,902,910,917,932,941,946,957,965,970,979,991,1001,1010,1018,1025,1033,1039,1045,1059,1069,1077,1082,1091,1104,1108,1113,1128,1136,1142,1150,1157,1169,1175	0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,26,42,46,51,63,71,81,90,95,104,118,122,133,143,152,159,162,174,179,323,329,343,344,359,366,377,381,387,396,404,418,423,436,445,451,609,611,623,626,637,644,653,663,674,682,687,701,711,714,725,734,737,747,755,770,776,787,792,800,810,819,828,839,840,851,857,874,877,886,892,906,915,920,926,940,946,955,960,970,980,985,996,1009,1011,1025,1029,1042,1048,1058,1064,1077,1084,1094,1102,1105,1119,1122,1134,1142,1152,1156,1165,1176	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,14,21,28,40,43,58,63,75,83,85,101,107,111,127,128,137,147,157,167,176,188,326,333,343,348,360,369,371,381,393,399,411,420,423,433,438,600,608,610,623,634,636,651,653,668,675,679,688,699,711,715,720,733,746,747,757,769,774,786,794,803,812,815,823,836,843,850,865,872,882,889,894,902,913,918,931,941,949,955,960,971,977,992,999,1005,1018,1020,1032,1042,1048,1057,1062,1072,1087,1090,1100,1112,1116,1124,1133,1139,1148,1162,1165,1178	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,11,25,31,36,47,53,66,68,84,93,95,107,114,127,134,139,151,157,166,172,181,318,333,343,344,353,362,372,382,389,399,410,415,421,431,438,456,608,613,623,634,637,648,654,665,675,684,686,698,706,716,724,734,745,746,757,771,779,782,793,805,811,822,831,832,842,848,861,871,881,890,897,906,909,924,927,941,944,954,966,973,979,986,1000,1008,1014,1019,1031,1037,1046,1058,1064,1073,1085,1087,1097,1106,1119,1124,1135,1140,1153,1162,1168	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,17,31,38,45,54,63,71,80,89,96,107,112,125,135,144,150,160,167,171,180,320,332,335,349,356,368,369,385,391,395,408,416,428,432,441,471,608,612,620,632,639,651,659,663,676,686,689,696,709,718,725,737,743,753,760,763,772,787,789,797,810,822,828,835,846,855,862,868,881,889,893,907,914,916,928,935,947,959,964,971,983,989,998,1007,1014,1019,1034,1042,1045,1058,1070,1076,1084,1090,1100,1110,1116,1125,1133,1141,1149,1161,1170,1174	0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,11,17,34,42,43,52,61,75,83,91,99,103,116,120,128,140,148,161,170,177,315,319,333,340,351,354,362,375,380,391,400,407,417,422,431,438,454,607,616,623,630,643,650,654,661,677,682,689,695,706,714,720,733,742,746,763,769,772,781,792,805,810,815,829,837,841,855,862,867,881,883,894,901,911,925,931,937,947,957,967,971,979,993,998,1010,1018,1025,1036,1044,1051,1055,1069,1075,1084,1094,1097,1106,1118,1126,1135,1143,1148,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,20,28,34,48,58,68,69,80,92,100,105,113,121,134,143,149,157,169,175,188,326,329,338,352,357,367,371,378,392,399,404,415,423,437,445,600,604,613,618,632,641,648,655,667,672,683,686,697,710,719,724,734,741,751,760,769,775,785,789,798,814,818,831,839,841,854,862,869,874,883,898,906,909,924,928,938,945,951,963,969,982,986,1001,1005,1013,1023,1032,1042,1051,1054,1065,1076,1081,1091,1102,1104,1116,1126,1133,1143,1154,1161,1168,1175	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,23,32,41,46,57,59,69,84,88,98,110,111,126,128,141,152,154,162,177,179,322,330,338,346,358,361,370,380,393,401,404,415,427,432,445,597,606,610,618,630,641,649,659,664,672,682,687,702,703,714,723,734,744,754,762,767,775,784,793,804,809,820,824,839,847,849,860,871,878,884,894,899,914,924,930,934,946,955,964,972,984,991,994,1009,1013,1025,1030,1041,1050,1060,1066,1078,1087,1093,1100,1108,1119,1129,1131,1141,1153,1158,1165,1175	1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,8,24,31,37,46,51,67,75,79,90,95,103,114,126,132,139,152,160,170,174,180,320,328,336,347,356,366,375,384,391,396,405,415,428,433,443,467,603,610,621,628,643,648,659,667,669,679,687,696,711,712,721,734,743,751,761,765,773,780,795,804,811,821,825,831,841,856,861,868,875,882,897,905,912,924,927,939,944,955,960,973,980,992,998,1007,1016,1025,1032,1039,1047,1057,1064,1074,1085,1093,1099,1109,1120,1125,1138,1140,1153,1163,1171,1177	1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,17,28,38,46,55,62,70,83,87,97,102,114,123,133,142,152,159,162,172,179,319,328,342,345,360,364,376,378,389,401,405,418,428,433,444,596,601,616,624,631,640,643,656,661,672,685,686,702,703,719,723,735,740,750,757,763,776,783,795,797,811,816,831,836,842,855,862,872,878,888,899,907,908,923,931,939,949,958,959,971,981,993,995,1003,1019,1022,1030,1040,1047,1055,1065,1076,1082,1088,1096,1105,1120,1128,1130,1144,1154,1159,1167	1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,13,19,31,37,50,55,63,70,77,88,96,103,117,125,133,137,150,155,164,173,181,324,327,337,345,355,362,373,383,394,400,406,415,427,430,445,598,601,617,625,634,638,651,658,665,669,677,687,696,709,716,721,732,745,753,759,764,776,788,794,805,808,819,830,834,844,853,860,867,879,887,892,906,914,919,931,935,949,957,959,971,982,989,1001,1005,1015,1026,1030,1036,1048,1060,1068,1076,1079,1089,1103,1109,1115,1129,1132,1142,1151,1156,1171,1177	0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,21,31,37,49,54,64,73,80,92,95,107,116,125,129,140,146,156,166,173,186,326,327,342,347,354,366,372,384,393,401,405,413,427,436,441,463,605,616,625,626,637,646,657,666,673,678,688,697,707,715,722,730,744,749,755,770,773,788,794,805,810,814,829,838,844,855,858,868,880,890,898,906,916,919,929,942,944,952,961,969,976,992,996,1008,1018,1022,1033,1044,1046,1053,1064,1075,1087,1090,1100,1107,1117,1127,1132,1142,1150,1162,1166,1177	1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,19,32,38,43,52,60,74,80,87,98,103,114,125,129,141,150,160,164,171,193,319,333,335,346,356,366,370,384,393,401,407,416,422,434,444,596,606,614,623,632,642,649,657,666,674,686,692,699,708,713,721,735,742,747,762,767,776,787,793,802,814,821,823,835,845,852,862,870,879,888,892,902,909,922,931,934,945,955,964,975,977,988,1001,1009,1017,1021,1029,1040,1046,1053,1064,1071,1079,1090,1099,1110,1117,1123,1136,1145,1153,1156,1167	1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
8,12,23,31,39,50,54,64,76,77,92,97,103,111,120,136,139,151,158,164,172,179,325,330,341,351,355,369,377,384,394,396,405,420,423,435,441,598,608,612,619,631,638,648,657,666,677,680,689,701,711,712,720,735,738,750,760,765,774,785,797,799,809,815,829,837,844,849,864,866,877,885,896,907,911,922,927,934,949,954,964,970,977,987,1000,1005,1011,1027,1030,1043,1049,1059,1066,1073,1086,1087,1097,1112,1117,1128,1134,1143,1148,1159,1170,1175	0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,23,28,41,43,55,61,73,79,91,98,105,116,123,132,137,147,158,165,171,313,322,330,340,345,357,363,378,381,387,401,409,416,422,432,444,597,603,616,623,630,635,644,653,662,676,680,689,695,711,717,726,735,742,751,756,763,773,781,795,799,808,815,828,837,847,856,865,868,880,888,897,906,908,921,926,938,950,958,961,975,979,987,1000,1007,1015,1019,1033,1040,1046,1053,1069,1075,1084,1088,1097,1112,1121,1125,1133,1141,1148,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,25,30,42,43,54,60,70,82,93,99,105,114,125,128,142,150,159,168,171,317,325,331,339,345,353,362,374,381,394,401,408,415,427,431,444,600,607,616,621,634,638,651,656,662,670,681,690,699,710,714,726,732,740,747,759,763,775,781,788,798,808,817,829,835,843,851,863,869,875,887,893,905,910,920,932,941,950,951,960,975,977,985,997,1009,1013,1022,1029,1041,1048,1055,1065,1077,1083,1091,1102,1112,1118,1129,1130,1139,1154,1164,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,19,28,39,45,58,67,71,81,87,94,102,112,127,135,140,148,161,166,172,200,323,331,336,350,357,366,375,380,388,396,410,417,426,430,444,598,605,613,624,626,639,649,652,667,675,678,688,700,706,719,727,730,745,748,761,768,777,786,791,797,806,821,823,834,841,852,861,869,880,883,892,902,915,916,931,941,947,953,963,971,976,992,999,1006,1018,1026,1033,1038,1047,1056,1066,1070,1079,1094,1097,1110,1118,1127,1133,1141,1153,1158,1166	0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,23,28,35,43,59,63,68,84,89,97,104,113,120,132,142,147,162,165,171,191,325,329,338,350,358,361,376,382,393,397,407,414,423,437,440,454,602,613,621,632,643,645,656,665,676,683,693,700,705,719,724,732,744,751,760,767,778,782,792,797,811,819,830,838,842,856,858,866,878,887,897,903,911,923,926,938,943,952,964,972,981,986,1000,1006,1013,1024,1034,1039,1053,1054,1066,1072,1087,1090,1100,1108,1120,1123,1133,1143,1150,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,21,29,37,46,59,63,73,80,85,95,105,112,122,129,141,152,155,164,179,180,321,334,339,350,360,367,370,384,394,397,404,416,423,431,442,596,602,618,624,629,643,646,659,665,670,684,687,697,709,712,728,734,742,751,756,771,775,787,793,804,809,817,829,833,843,855,860,866,875,884,894,900,916,918,927,936,943,954,966,973,977,989,1002,1008,1014,1025,1029,1043,1046,1059,1062,1071,1079,1094,1100,1109,1118,1122,1136,1145,1148,1158,1167	1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,23,26,40,44,52,63,76,82,87,96,109,111,120,128,138,152,158,167,179,189,321,333,337,346,358,364,370,380,393,400,409,412,423,429,444,599,607,615,624,629,640,644,659,666,669,681,690,702,705,713,722,729,745,749,756,769,776,780,794,801,811,820,825,837,840,855,859,866,879,887,897,901,911,918,926,938,943,951,963,975,978,991,998,1010,1011,1024,1031,1039,1048,1057,1069,1076,1086,1091,1101,1112,1117,1125,1136,1142,1151,1162,1170	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,18,31,36,46,54,62,68,81,92,94,102,113,119,136,137,149,156,170,175,180,321,333,341,348,356,367,376,378,391,398,404,413,423,429,442,447,606,617,623,632,640,649,657,666,676,686,687,699,704,716,725,737,742,748,754,768,773,787,796,801,807,822,825,833,842,855,862,870,875,884,895,905,916,919,932,936,945,956,960,973,982,985,1000,1010,1014,1025,1035,1041,1045,1055,1064,1074,1087,1095,1102,1108,1117,1126,1130,1139,1149,1164,1169	1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,24,28,38,47,52,67,76,84,93,95,105,114,126,129,144,151,154,168,174,313,321,335,340,345,353,367,371,382,390,401,410,413,425,431,438,598,608,616,626,633,640,647,658,665,672,683,693,701,710,714,726,729,738,753,759,766,778,784,793,798,810,819,830,837,843,850,864,867,882,886,896,900,912,917,929,936,947,957,964,969,978,987,998,1009,1013,1026,1035,1044,1049,1056,1067,1070,1081,1094,1100,1105,1118,1126,1130,1139,1153,1164,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,17,31,40,44,55,59,73,77,86,101,109,117,121,133,138,146,160,165,171,180,321,331,340,349,359,368,376,384,391,396,409,417,427,435,439,466,604,615,623,627,638,649,659,665,673,684,690,698,705,716,724,736,744,749,759,763,777,780,792,804,813,816,826,839,840,855,857,871,879,889,898,900,909,921,927,935,945,958,968,971,982,990,996,1008,1013,1023,1032,1043,1047,1059,1067,1077,1080,1094,1103,1108,1120,1126,1130,1144,1154,1162,1166,1176	0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0
4,8,20,32,42,44,51,66,75,82,92,95,110,116,119,128,140,152,159,167,172,182,324,328,339,344,356,367,374,379,392,398,405,414,422,435,438,450,604,615,625,632,639,650,653,662,673,682,690,701,710,712,724,730,744,753,756,767,775,786,796,804,814,822,826,836,847,850,865,869,882,884,894,903,912,921,928,936,945,956,961,970,976,993,999,1007,1019,1027,1032,1044,1047,1059,1062,1076,1085,1091,1103,1104,1120,1129,1131,1143,1149,1163,1171	1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,12,23,29,40,47,56,61,75,78,89,94,110,117,125,130,139,149,159,167,175,179,322,331,335,343,357,362,375,379,393,399,411,418,428,435,437,467,602,612,625,627,643,651,659,665,673,685,694,697,705,712,721,734,738,747,756,768,775,783,796,800,810,817,824,836,842,850,859,871,876,887,898,902,909,918,927,938,942,955,966,968,977,991,996,1010,1017,1020,1032,1038,1051,1055,1063,1077,1082,1091,1100,1110,1115,1127,1136,1141,1148,1159,1165,1173	1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,14,20,25,40,48,55,62,68,83,87,96,109,112,122,128,139,147,161,165,177,181,318,331,339,352,357,369,370,379,392,402,409,413,423,431,440,451,604,612,622,628,639,644,655,666,670,684,694,696,709,718,721,732,743,746,756,770,773,785,792,804,808,819,830,836,847,853,861,870,880,888,895,902,910,925,932,940,943,955,960,972,976,992,1001,1010,1017,1019,1034,1040,1048,1061,1063,1071,1086,1095,1101,1105,1116,1123,1134,1139,1155,1160,1168,1178	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,22,34,37,47,55,64,73,79,87,100,102,112,119,130,139,153,160,167,178,188,320,331,335,351,357,363,374,382,390,400,404,419,425,433,440,598,607,616,624,634,642,649,659,668,676,685,689,701,704,717,723,737,743,751,760,765,779,782,794,800,806,818,828,832,840,853,859,866,881,884,891,900,909,924,933,936,946,957,964,976,979,990,997,1002,1015,1019,1032,1038,1047,1059,1068,1071,1087,1092,1102,1111,1114,1123,1130,1146,1148,1162,1171	0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,31,36,48,59,67,75,83,89,94,107,116,127,135,139,148,156,165,175,182,321,330,335,348,356,363,374,383,390,398,410,413,425,429,437,598,602,612,618,628,638,648,655,669,674,682,688,698,706,714,728,735,739,754,760,770,778,784,789,799,813,816,824,838,843,853,864,873,881,890,898,900,909,920,929,940,945,953,966,974,980,990,995,1006,1017,1025,1032,1041,1046,1061,1070,1076,1080,1092,1104,1106,1120,1126,1138,1144,1152,1163,1165,1175	0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,22,31,36,46,51,60,71,81,85,95,109,118,125,134,141,145,156,168,172,182,321,332,343,348,359,363,372,382,390,399,409,418,422,429,438,598,602,616,622,634,640,650,653,662,673,684,687,701,711,718,724,729,741,748,758,770,778,786,793,801,812,820,826,836,848,852,862,871,881,886,898,901,912,923,926,934,948,958,963,968,984,987,996,1002,1017,1019,1036,1038,1049,1056,1062,1071,1081,1096,1102,1105,1121,1124,1135,1139,1156,1157,1171	0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,18,31,34,42,52,63,74,77,85,95,109,117,120,136,144,147,161,167,177,187,322,335,337,346,356,362,371,380,389,395,406,419,425,435,438,600,607,609,619,631,642,650,653,664,675,683,692,703,710,715,728,734,738,752,759,767,776,781,788,804,811,819,829,837,840,856,863,866,881,884,897,907,915,925,927,935,943,954,961,976,979,988,996,1007,1015,1027,1033,1041,1052,1056,1067,1071,1087,1092,1104,1111,1115,1127,1136,1145,1148,1161,1169,1177	0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0
8,15,18,32,38,49,58,67,74,80,92,94,104,115,123,133,139,147,160,168,172,314,325,334,343,351,356,362,376,385,392,398,406,419,426,434,445,598,603,613,618,631,642,651,655,666,669,685,689,695,703,715,723,734,740,749,754,771,773,786,791,805,809,820,823,833,840,856,859,874,881,887,898,907,908,920,925,936,942,952,959,969,981,987,1001,1009,1011,1027,1030,1043,1052,1054,1066,1072,1081,1092,1099,1112,1118,1127,1133,1140,1155,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,24,28,37,43,56,67,68,83,87,100,108,119,120,135,136,150,157,164,176,315,325,331,342,352,355,364,372,382,386,398,404,418,425,432,441,600,608,610,626,631,639,650,655,663,669,679,693,699,706,713,722,729,741,749,759,770,777,787,795,801,808,815,829,832,842,851,864,866,877,888,897,907,910,921,932,935,950,954,960,975,979,992,1001,1009,1012,1026,1031,1044,1052,1057,1065,1079,1084,1090,1097,1113,1119,1124,1132,1145,1148,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,30,37,47,55,61,71,80,87,94,106,111,124,132,136,148,161,164,172,180,321,329,341,349,353,363,377,379,389,403,409,416,429,435,440,461,602,614,620,630,636,647,654,661,672,679,690,701,707,714,728,735,745,748,757,770,777,786,794,797,810,818,825,833,844,852,862,874,880,884,899,900,912,917,925,939,948,955,968,973,984,986,998,1008,1017,1024,1028,1040,1052,1059,1063,1071,1081,1087,1097,1107,1117,1130,1134,1145,1154,1160,1172,1178	0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
5,8,17,26,39,50,56,63,70,77,93,101,106,116,123,131,144,148,155,165,174,193,324,332,342,348,357,361,377,385,393,401,405,417,429,436,441,598,601,611,624,629,638,644,654,666,674,680,690,698,703,713,722,730,744,754,758,767,779,782,793,805,809,816,823,835,846,849,857,866,874,888,895,899,910,917,930,939,943,952,961,970,979,986,1002,1003,1011,1023,1029,1041,1051,1055,1066,1078,1085,1094,1098,1111,1119,1125,1136,1143,1148,1161,1171	1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,14,19,31,41,43,59,65,75,82,92,95,107,117,126,136,143,148,153,163,178,179,318,327,341,351,357,363,376,378,387,400,411,419,421,431,441,596,601,609,621,627,637,649,653,660,677,680,689,698,709,715,726,729,739,748,759,770,774,785,795,804,813,814,824,832,844,851,864,867,877,882,891,908,914,924,927,937,949,953,965,974,983,987,994,1009,1018,1020,1033,1041,1046,1056,1063,1078,1085,1090,1101,1112,1116,1123,1131,1140,1150,1158,1166,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,25,31,38,50,57,61,74,77,86,100,108,112,124,129,143,151,155,163,173,184,324,327,343,348,354,369,375,385,391,396,410,415,421,431,438,600,609,617,624,632,635,644,659,660,676,682,691,694,710,717,720,731,737,747,755,765,776,783,790,802,806,819,824,838,846,852,862,872,882,888,897,900,915,917,933,942,949,954,967,971,984,990,995,1007,1012,1020,1030,1039,1046,1060,1068,1072,1079,1095,1102,1112,1118,1125,1137,1144,1152,1161,1171,1176	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,20,28,34,45,58,65,76,84,86,98,110,115,119,133,137,152,157,170,174,205,325,333,336,345,360,361,374,379,388,403,410,412,427,436,438,597,604,613,618,630,635,646,653,662,674,680,694,702,704,715,726,737,742,752,760,763,777,780,789,803,806,822,826,839,846,853,862,873,881,889,891,906,908,925,928,935,943,951,962,970,981,986,997,1004,1018,1020,1029,1038,1051,1058,1063,1079,1080,1094,1103,1111,1114,1125,1132,1139,1153,1162,1172,1178	1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,16,19,27,39,47,56,63,73,84,91,100,103,118,127,131,144,151,156,163,174,316,320,333,342,348,357,363,377,381,387,403,408,417,422,437,439,458,607,613,618,631,639,649,655,663,674,683,694,698,704,716,722,736,740,747,762,767,773,787,789,803,809,817,823,836,848,855,861,871,875,882,898,903,908,925,929,940,944,955,960,976,982,988,997,1008,1015,1025,1035,1038,1049,1059,1067,1078,1080,1089,1098,1110,1115,1124,1133,1146,1148,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,23,33,37,42,57,64,71,83,93,95,108,114,125,129,138,145,156,167,172,313,321,334,339,350,359,364,374,381,389,395,404,413,426,432,437,468,609,617,618,634,641,652,657,668,675,685,690,700,707,711,727,734,738,746,756,766,777,784,795,801,809,818,827,834,840,855,865,867,876,886,894,900,912,920,927,938,947,957,961,973,979,988,994,1005,1014,1022,1036,1044,1048,1058,1065,1078,1085,1091,1104,1107,1119,1124,1132,1146,1155,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,9,19,33,39,45,51,62,69,81,86,97,109,113,127,131,140,149,159,163,177,185,325,332,339,351,360,369,374,385,391,397,404,416,426,436,443,598,607,613,624,628,643,650,653,661,674,680,688,703,707,718,724,736,743,747,762,768,772,786,796,800,808,821,829,838,844,848,861,871,876,888,898,907,908,919,926,940,950,951,962,973,983,985,1000,1006,1016,1026,1028,1038,1051,1061,1062,1071,1087,1093,1096,1110,1113,1128,1136,1144,1149,1156,1171	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,15,23,32,35,48,51,66,72,79,86,94,107,112,120,131,140,145,156,164,173,184,325,329,342,350,354,364,375,382,386,402,409,414,424,432,442,599,601,615,626,630,636,645,654,664,675,679,691,699,705,714,723,732,740,750,759,764,777,784,790,805,814,816,828,838,842,855,865,871,876,890,895,906,916,919,931,941,942,951,960,972,979,985,1000,1009,1013,1021,1030,1043,1045,1058,1065,1075,1085,1093,1099,1113,1120,1125,1135,1145,1154,1160,1169	1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,23,28,34,50,57,61,71,78,89,97,106,117,126,135,140,149,159,164,178,313,325,330,340,349,353,367,373,378,389,399,408,412,425,432,441,598,602,612,621,635,641,648,656,663,673,678,690,699,710,718,728,734,742,748,755,769,779,788,792,804,812,819,825,835,841,849,861,869,881,882,898,902,908,920,927,937,943,952,962,969,984,988,997,1009,1013,1023,1036,1037,1045,1059,1069,1074,1086,1093,1097,1108,1121,1123,1135,1146,1150,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,10,22,26,41,48,58,64,70,80,85,101,106,116,121,133,141,147,154,165,178,187,321,334,341,351,353,361,374,381,392,397,407,413,428,434,444,453,601,617,625,634,637,646,660,665,674,678,694,698,711,717,723,731,743,749,758,771,779,782,795,798,811,815,826,833,847,852,859,870,875,885,897,901,914,924,929,936,944,951,961,973,976,986,1002,1004,1013,1019,1028,1038,1047,1060,1069,1070,1081,1091,1100,1111,1114,1127,1135,1147,1155,1157,1167,1176	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,24,28,41,46,56,65,75,80,89,101,108,112,121,129,141,151,156,165,176,181,318,331,343,348,359,363,369,383,386,403,406,416,422,430,438,600,607,612,620,630,637,645,655,667,670,680,687,698,704,712,724,737,745,754,762,768,777,787,794,805,813,820,827,839,841,855,859,870,877,883,893,904,914,920,930,939,947,955,961,971,981,992,1001,1003,1012,1027,1028,1042,1051,1057,1062,1077,1083,1089,1099,1106,1118,1125,1134,1145,1154,1156,1172	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,18,33,39,50,54,63,69,77,91,98,110,113,122,131,144,147,160,169,170,314,319,332,336,347,353,365,377,386,390,401,411,419,428,431,442,448,602,609,622,629,642,648,657,664,676,682,690,697,704,717,726,732,745,752,758,769,773,784,796,798,814,821,829,838,842,857,858,872,877,889,894,905,914,919,933,935,945,953,965,972,978,993,995,1008,1013,1023,1029,1039,1046,1060,1068,1075,1083,1095,1104,1106,1117,1127,1138,1139,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,24,28,34,44,52,60,73,77,90,99,105,113,120,128,142,146,155,169,176,314,318,332,340,350,358,367,372,384,392,399,404,418,422,435,445,456,607,617,624,627,638,646,657,665,674,680,692,703,711,716,723,737,742,748,762,768,774,788,790,801,811,822,823,835,848,854,863,871,881,887,895,902,913,917,929,940,950,951,967,974,979,992,1001,1004,1018,1022,1035,1043,1052,1059,1068,1077,1080,1090,1100,1106,1114,1127,1135,1139,1151,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,28,35,48,58,62,75,79,90,99,106,114,123,134,138,146,158,167,171,313,324,330,341,348,355,365,374,378,393,400,407,416,428,433,442,596,604,613,625,630,638,652,656,667,673,681,687,701,704,712,723,735,744,746,757,768,777,787,792,800,811,821,829,838,843,855,863,871,880,889,892,901,908,922,931,942,949,959,960,973,979,993,1001,1003,1012,1020,1029,1043,1052,1057,1069,1074,1086,1089,1099,1112,1117,1125,1136,1146,1154,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,32,40,47,52,62,70,79,90,95,106,112,127,135,141,146,160,165,176,314,326,334,340,351,355,363,378,379,392,402,410,413,426,435,443,596,605,616,625,627,640,647,659,663,674,685,693,697,707,717,725,730,741,751,761,767,779,784,790,800,812,821,825,836,844,852,858,873,881,885,897,901,911,921,930,938,947,956,960,974,978,985,996,1004,1018,1020,1030,1043,1048,1057,1069,1072,1083,1088,1101,1110,1114,1122,1131,1146,1155,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,19,28,38,49,54,61,69,82,92,98,107,118,125,134,144,148,158,170,179,318,326,332,339,347,360,365,371,385,391,401,409,414,428,437,439,596,605,615,624,633,640,647,653,661,669,684,689,702,711,715,722,735,744,748,755,765,775,781,794,798,813,818,825,837,841,856,863,869,882,884,893,906,915,923,929,940,945,956,960,974,979,985,1001,1008,1018,1027,1028,1043,1045,1059,1068,1074,1082,1090,1097,1112,1119,1125,1135,1141,1154,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,17,33,41,45,54,61,71,80,92,101,104,115,128,136,142,150,161,168,175,314,326,332,341,350,358,369,372,385,393,401,411,414,424,431,441,599,606,614,624,631,640,643,655,661,670,681,692,700,704,715,722,730,741,751,759,768,775,787,793,798,811,814,823,839,843,855,863,873,880,889,898,907,911,923,930,941,944,955,965,975,982,991,996,1010,1019,1022,1032,1043,1045,1057,1067,1077,1079,1088,1099,1111,1114,1127,1134,1142,1151,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,29,42,48,56,60,68,80,86,100,105,112,121,128,142,153,159,169,176,316,323,333,337,351,355,364,372,380,390,401,404,413,424,433,442,598,601,609,619,627,641,651,658,663,672,680,690,701,704,713,723,731,739,746,756,769,776,780,791,804,811,820,826,839,840,853,858,874,877,887,895,904,916,923,933,937,949,959,960,974,977,989,1000,1004,1016,1027,1029,1043,1048,1055,1065,1078,1086,1087,1104,1110,1119,1125,1133,1145,1150,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,33,38,49,58,64,73,82,86,97,104,114,125,129,142,145,155,168,176,315,323,331,338,346,358,369,378,382,388,395,409,415,423,436,441,468,609,616,619,634,636,651,657,666,672,685,688,701,706,713,727,729,738,746,756,771,775,786,796,801,807,819,830,835,840,856,864,868,875,884,897,906,912,923,927,937,943,957,961,974,980,993,999,1007,1018,1027,1035,1044,1049,1060,1066,1074,1080,1094,1101,1106,1115,1129,1131,1140,1154,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,28,38,46,52,59,76,84,86,94,109,111,123,129,141,151,153,169,176,182,318,330,337,346,360,362,373,384,393,401,403,414,423,433,439,596,605,617,625,628,637,650,658,665,676,681,690,702,704,717,722,733,742,748,758,768,773,780,794,802,812,814,830,832,840,856,861,866,875,887,898,902,908,920,932,940,945,956,963,974,983,985,998,1006,1018,1020,1034,1036,1051,1056,1065,1076,1086,1095,1104,1105,1116,1125,1137,1141,1149,1159,1171	1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,25,29,41,45,54,60,76,77,89,99,108,119,123,135,144,149,157,164,172,315,325,334,342,344,354,364,370,382,389,396,409,416,422,437,445,465,604,616,621,628,636,647,655,666,676,679,688,702,704,712,727,735,740,753,755,771,778,780,790,804,807,819,827,834,843,852,858,866,878,888,899,901,916,918,933,940,949,958,964,969,983,989,998,1004,1018,1023,1029,1041,1048,1054,1068,1072,1082,1093,1096,1107,1115,1127,1135,1138,1150,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,22,28,39,50,52,63,73,82,93,96,105,114,125,130,142,148,160,162,177,314,320,328,338,345,352,367,375,378,387,398,406,412,426,437,443,597,605,611,623,629,635,650,656,667,672,683,690,703,704,717,728,735,741,753,755,764,775,783,791,798,810,821,824,838,844,849,864,867,877,886,897,905,908,923,932,938,945,953,963,976,978,990,1000,1010,1013,1020,1030,1043,1052,1058,1063,1072,1085,1089,1102,1112,1118,1127,1136,1146,1153,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,27,34,45,55,68,74,78,87,96,110,117,128,133,140,152,155,168,175,318,323,331,340,347,356,367,372,382,386,398,408,418,425,432,441,599,602,617,620,634,639,645,653,661,675,685,689,699,709,714,726,731,738,753,762,767,777,781,795,801,806,822,830,834,843,851,858,868,875,889,891,907,910,918,925,937,949,957,961,969,977,991,997,1003,1013,1027,1035,1040,1051,1053,1063,1075,1087,1095,1097,1111,1118,1128,1135,1142,1155,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,25,31,42,46,59,61,72,82,90,100,109,113,122,135,139,145,159,163,174,316,323,328,338,352,360,366,377,386,391,399,411,417,425,430,443,596,604,614,620,627,643,651,654,663,672,681,694,697,710,717,726,734,744,751,755,768,778,781,791,800,813,815,827,838,845,851,863,868,876,883,897,905,913,922,926,934,947,955,959,969,984,989,997,1003,1014,1021,1028,1040,1047,1060,1069,1073,1082,1088,1100,1110,1113,1124,1136,1142,1152,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,21,26,37,44,52,63,72,79,92,97,105,113,124,133,138,149,161,169,178,184,322,331,339,346,356,364,373,385,388,397,404,414,424,435,444,453,605,612,621,634,639,646,658,668,671,684,688,701,710,716,722,735,741,749,757,770,772,788,789,804,809,820,830,838,845,849,859,865,882,883,899,904,914,923,930,937,942,955,961,971,980,990,995,1002,1018,1027,1030,1043,1045,1054,1064,1071,1082,1093,1098,1112,1121,1125,1131,1143,1148,1159,1165,1176	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,22,27,36,49,58,66,68,77,90,94,107,115,122,133,142,145,156,169,174,316,318,331,340,352,354,367,371,385,391,397,406,417,421,431,443,456,609,611,626,631,637,650,653,668,673,685,689,698,704,714,723,731,743,749,756,764,775,787,795,803,809,817,823,838,840,851,864,866,875,891,894,903,908,921,931,935,946,959,960,970,978,987,994,1007,1016,1021,1028,1038,1051,1058,1065,1071,1082,1090,1099,1105,1118,1128,1133,1145,1149,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,34,40,44,59,62,72,84,87,101,110,115,123,133,137,149,159,169,170,317,324,332,340,346,358,366,373,381,392,399,406,419,421,431,443,450,609,613,625,629,635,650,660,661,674,685,689,696,703,717,726,736,739,748,760,764,774,786,789,803,809,815,824,832,844,851,859,873,877,884,899,904,909,924,927,941,949,952,963,973,976,987,994,1005,1019,1021,1035,1044,1050,1056,1069,1076,1081,1090,1104,1112,1121,1122,1131,1143,1154,1157,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,30,40,45,53,60,74,78,90,99,103,117,122,130,143,145,158,170,179,316,326,329,341,351,355,364,369,384,389,402,409,415,422,433,444,467,603,616,619,631,637,645,660,667,669,682,693,700,705,717,728,733,739,749,757,770,773,786,796,801,810,816,824,838,842,855,860,873,874,890,892,902,913,920,933,940,945,952,961,973,980,985,996,1003,1012,1023,1032,1040,1052,1058,1064,1072,1086,1095,1096,1110,1119,1127,1132,1142,1153,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,25,39,49,57,60,72,78,86,95,109,117,119,133,143,153,154,166,175,313,319,331,343,349,357,361,377,380,390,399,410,415,427,433,443,599,600,613,621,630,636,644,656,667,670,678,693,703,711,717,723,737,738,750,755,767,773,785,796,801,813,821,827,837,841,850,857,871,879,889,894,900,909,922,931,938,946,954,966,969,978,992,997,1005,1013,1021,1032,1036,1045,1055,1068,1071,1080,1091,1103,1105,1116,1127,1134,1145,1147,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,31,40,43,59,65,76,78,92,96,108,116,125,134,143,152,155,163,173,315,326,334,338,347,360,369,373,379,390,396,410,412,421,436,446,459,606,613,620,632,640,646,658,665,673,679,689,700,709,720,725,736,743,754,756,764,778,787,790,798,812,820,827,837,844,855,862,867,876,889,894,908,915,920,928,940,943,955,963,972,977,985,998,1006,1016,1020,1034,1041,1048,1057,1063,1075,1085,1095,1096,1106,1121,1128,1132,1144,1152,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,26,36,44,57,62,71,81,93,100,104,113,125,132,139,146,158,168,176,317,320,329,338,345,352,362,375,380,392,401,404,416,423,435,447,448,602,613,619,633,641,647,655,667,671,679,686,697,710,715,721,732,745,751,757,763,772,787,789,797,807,816,827,833,847,851,864,865,874,883,898,903,911,917,933,942,949,958,966,968,979,989,995,1008,1018,1020,1028,1038,1053,1059,1069,1076,1085,1087,1101,1105,1119,1130,1133,1146,1153,1158,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,25,29,34,44,57,60,71,78,88,94,103,115,120,131,137,153,159,163,177,313,319,333,341,346,359,367,376,382,391,402,405,418,425,436,444,598,607,617,619,628,638,648,652,668,675,678,693,697,708,714,726,734,738,748,760,765,773,783,794,805,809,821,828,833,843,852,860,873,877,890,895,900,914,919,933,940,946,957,967,973,981,992,1002,1010,1014,1021,1032,1040,1047,1056,1069,1075,1080,1092,1100,1107,1113,1124,1133,1139,1152,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,29,40,50,54,59,69,79,91,94,104,114,125,134,136,149,155,168,175,316,318,334,343,345,358,363,375,382,393,400,408,415,420,432,444,598,608,610,619,632,638,649,655,667,676,686,693,700,706,718,722,730,738,753,762,770,779,780,794,800,809,820,830,839,843,850,861,870,879,891,893,902,916,922,932,940,948,954,960,974,981,991,999,1003,1012,1024,1033,1040,1052,1054,1067,1075,1081,1094,1104,1109,1115,1128,1130,1141,1151,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,27,40,50,52,64,73,85,92,100,109,118,122,136,141,146,160,166,175,316,321,330,340,348,357,368,376,384,390,397,407,414,424,433,439,599,601,614,624,630,640,650,658,664,675,686,694,701,706,716,722,730,737,747,759,766,775,783,790,801,813,821,823,834,845,853,858,869,880,888,893,903,913,925,929,938,944,951,963,975,983,986,994,1006,1012,1021,1036,1037,1045,1061,1069,1075,1079,1092,1098,1108,1120,1129,1133,1145,1151,1156,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,33,40,46,53,64,72,82,91,94,109,116,120,128,139,150,158,166,173,315,322,331,336,348,360,362,376,378,394,400,404,416,425,436,440,598,604,612,619,627,643,649,655,661,673,677,691,703,711,714,722,736,743,747,758,771,779,782,796,800,813,819,830,837,846,849,857,873,877,886,899,901,909,922,931,938,943,951,962,970,983,993,995,1007,1013,1027,1035,1042,1045,1059,1063,1072,1081,1095,1096,1112,1119,1122,1134,1144,1148,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,18,29,35,43,57,65,70,83,85,98,108,114,120,135,144,153,162,167,179,316,320,327,338,350,354,361,376,383,393,402,407,414,423,434,445,598,608,612,625,632,643,652,655,664,675,684,693,703,706,713,722,735,745,754,758,765,779,781,792,798,806,820,831,834,848,853,858,871,874,886,898,905,914,917,928,941,950,957,961,970,981,993,997,1010,1015,1025,1034,1043,1048,1059,1063,1073,1081,1092,1103,1112,1121,1126,1132,1138,1152,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,31,39,49,52,60,69,82,91,95,109,114,121,136,140,149,155,167,175,318,319,330,343,351,359,367,370,381,389,401,406,419,423,433,438,470,606,611,619,629,642,651,657,668,670,682,692,694,708,717,726,729,743,752,759,769,776,784,792,805,812,814,823,836,846,850,857,869,875,889,899,901,913,923,932,941,946,953,964,973,982,986,994,1006,1010,1019,1035,1038,1050,1055,1068,1070,1085,1093,1096,1110,1116,1122,1138,1145,1149,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,32,34,44,56,60,71,79,86,94,106,113,121,128,138,151,161,170,172,202,320,326,337,350,359,369,377,378,391,401,407,419,426,436,442,447,603,610,619,632,636,646,653,663,671,679,693,700,710,718,727,731,739,754,755,766,777,787,792,799,806,816,829,835,844,855,862,872,881,885,898,900,909,918,926,941,946,953,959,970,978,987,999,1003,1018,1027,1035,1036,1051,1055,1067,1072,1080,1089,1097,1107,1120,1123,1138,1140,1148,1159,1170,1175	0,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,20,30,35,47,52,66,69,78,92,102,110,113,120,135,139,152,155,168,174,183,320,335,343,351,355,367,370,378,391,395,405,414,422,434,445,600,606,611,622,628,641,648,658,668,670,680,690,701,709,714,728,734,739,753,759,764,779,784,793,805,809,822,823,837,841,856,858,871,877,884,898,906,912,920,926,934,943,958,961,972,983,987,996,1007,1017,1019,1035,1043,1047,1059,1067,1075,1079,1089,1103,1111,1119,1129,1133,1143,1148,1161,1169,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,18,28,39,48,52,66,72,77,88,99,104,116,126,129,140,149,154,170,174,313,324,331,343,349,360,368,374,383,391,401,405,414,425,437,440,599,605,615,623,630,641,646,653,664,670,684,686,700,704,716,722,736,739,753,755,763,772,780,796,801,810,816,826,835,842,849,858,866,879,883,896,906,915,924,926,935,950,954,966,973,984,986,1000,1010,1012,1026,1033,1040,1049,1056,1066,1079,1087,1092,1103,1111,1116,1124,1132,1141,1155,1162,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,20,26,35,49,55,62,74,83,91,100,109,115,123,130,138,147,158,167,171,190,321,332,340,346,355,368,376,381,387,403,411,417,428,436,439,599,608,617,620,634,637,648,659,663,675,682,690,696,711,719,723,734,742,749,758,767,772,781,793,801,808,820,826,837,845,851,861,873,881,884,899,902,911,923,926,937,950,958,965,972,984,985,999,1008,1017,1027,1030,1041,1046,1057,1068,1077,1086,1092,1098,1112,1117,1127,1135,1138,1150,1158,1169	0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,25,28,34,42,51,64,70,81,93,96,105,116,126,132,140,145,159,165,172,192,325,331,336,350,355,365,372,383,394,399,404,413,423,437,443,599,601,611,622,628,643,650,652,667,673,678,694,702,706,720,725,732,738,750,760,765,775,788,789,801,808,820,823,838,841,851,860,867,877,889,898,902,916,925,926,940,944,954,965,972,981,988,999,1004,1012,1022,1030,1040,1047,1062,1065,1072,1083,1089,1102,1111,1116,1124,1135,1141,1150,1162,1169,1173	1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,20,26,35,51,58,67,72,79,92,99,109,115,119,131,141,151,154,166,172,180,320,329,336,351,356,361,372,385,386,401,408,415,426,430,444,470,604,610,621,629,639,644,658,667,674,679,686,697,704,718,724,729,743,752,759,764,777,781,795,803,812,820,825,832,843,852,865,870,876,884,892,906,910,922,930,936,947,959,965,974,977,993,998,1008,1011,1027,1030,1041,1052,1054,1069,1072,1087,1095,1103,1108,1119,1127,1138,1146,1155,1157,1168	1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
5,15,22,30,41,44,58,67,74,79,93,99,106,114,122,130,136,151,155,162,176,194,326,328,336,352,357,369,373,382,390,401,410,419,428,437,439,599,607,612,621,627,641,649,655,664,676,683,693,698,708,716,722,736,742,754,759,770,777,788,793,803,813,820,827,837,843,850,865,873,880,886,894,904,913,918,928,939,945,957,963,969,983,988,998,1007,1014,1021,1028,1044,1048,1060,1070,1077,1086,1091,1103,1106,1118,1124,1132,1146,1148,1156,1172,1174	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,30,38,48,56,65,70,77,92,98,107,117,124,128,137,153,154,168,171,180,319,333,335,344,360,368,375,386,390,398,405,414,425,433,444,598,607,609,623,632,640,644,653,660,671,682,694,701,710,713,728,736,740,750,762,767,772,781,795,798,812,818,827,836,847,851,862,871,879,884,891,900,916,918,930,940,949,957,967,970,984,988,999,1003,1018,1026,1029,1037,1049,1056,1069,1074,1083,1088,1103,1107,1118,1125,1131,1139,1148,1157,1166	0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,20,30,37,49,57,66,75,76,89,100,108,116,123,130,138,150,159,169,174,314,321,328,341,345,359,365,376,383,392,395,407,419,425,429,438,596,604,613,624,627,635,648,658,661,671,680,688,700,704,714,721,733,740,752,761,770,779,788,796,804,810,817,830,838,840,853,861,872,878,883,899,905,916,919,925,936,947,955,962,972,981,987,997,1002,1011,1022,1031,1043,1048,1058,1066,1077,1082,1088,1104,1110,1117,1128,1136,1147,1152,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,29,42,43,52,64,70,79,90,94,106,119,120,134,141,151,159,167,175,191,324,334,341,345,357,363,369,382,391,398,409,416,421,432,442,596,601,617,624,629,636,649,654,664,677,684,693,696,703,718,723,733,743,750,760,770,771,781,797,801,811,815,831,835,840,856,864,874,876,888,896,900,914,917,926,934,948,956,962,972,981,992,994,1004,1017,1023,1031,1043,1051,1060,1064,1073,1082,1096,1103,1109,1115,1127,1137,1147,1150,1157,1166,1178	1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,18,25,34,44,59,63,69,83,90,94,105,115,125,131,138,145,161,166,175,182,320,330,340,344,354,364,371,382,387,402,408,412,424,430,444,463,601,617,624,630,641,651,660,663,677,681,691,698,707,717,728,729,742,753,757,768,778,782,792,805,808,818,829,836,845,849,862,866,879,889,891,906,913,920,928,942,946,956,965,972,978,988,998,1009,1018,1024,1032,1040,1049,1054,1063,1072,1082,1088,1102,1105,1118,1127,1136,1142,1148,1161,1169	1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,22,33,37,42,59,65,75,78,90,96,109,113,123,133,142,149,158,162,178,316,320,334,339,346,353,365,372,380,389,403,405,413,421,436,442,449,606,613,626,628,636,644,654,667,674,684,688,696,710,716,723,732,743,750,757,769,778,780,794,804,808,819,824,836,843,849,861,869,880,883,894,907,914,921,928,937,942,957,967,970,978,992,999,1010,1014,1027,1030,1041,1051,1061,1065,1077,1087,1091,1097,1109,1121,1124,1131,1139,1153,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,13,20,33,39,50,57,61,75,79,86,95,105,112,121,129,138,150,158,168,179,183,324,329,341,346,357,369,374,384,391,398,408,415,422,437,446,466,601,612,625,633,637,648,660,663,673,678,694,702,704,717,726,736,743,749,759,771,779,780,791,803,809,815,823,833,845,853,860,872,875,887,899,906,909,924,932,939,943,955,961,973,979,989,999,1010,1017,1027,1034,1037,1045,1059,1064,1070,1083,1094,1097,1113,1117,1123,1133,1140,1149,1159,1166	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,13,24,33,37,46,56,64,71,78,91,98,106,114,120,129,140,151,160,170,172,182,320,330,341,344,359,369,374,378,393,402,406,417,425,435,443,463,604,613,618,628,635,651,659,666,672,680,686,702,708,715,728,732,746,747,756,766,775,783,793,799,811,822,829,837,846,849,862,866,882,883,893,906,915,921,927,935,950,954,964,976,980,987,1001,1003,1013,1021,1036,1040,1050,1060,1062,1071,1080,1088,1098,1109,1121,1124,1134,1147,1152,1157,1167	1,0,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,14,17,27,36,45,54,61,68,84,93,96,103,117,124,130,144,151,154,162,178,193,319,334,339,350,357,367,377,383,392,403,411,415,426,435,438,465,603,612,623,632,640,649,659,661,674,686,687,703,710,715,723,736,739,751,762,765,779,785,797,804,810,814,831,832,841,855,862,866,879,888,894,902,910,923,929,939,947,953,966,969,977,992,997,1004,1012,1019,1033,1038,1051,1058,1063,1073,1081,1093,1101,1110,1113,1122,1133,1144,1151,1162,1167,1177	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,24,29,34,43,58,65,72,83,86,94,106,116,127,130,143,147,158,169,173,316,323,327,340,349,357,364,374,378,393,396,404,416,424,434,442,467,601,611,621,630,642,645,658,661,672,681,692,696,707,713,729,733,738,748,755,764,777,788,797,801,806,821,823,831,847,850,863,872,877,883,895,902,916,922,925,941,948,954,966,971,981,989,998,1005,1011,1026,1034,1036,1047,1059,1069,1073,1086,1093,1098,1110,1121,1122,1135,1140,1148,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,18,25,36,47,56,61,74,82,92,99,105,118,121,132,139,146,155,164,178,313,319,328,343,346,359,363,377,381,390,401,411,416,423,433,439,600,609,611,622,629,639,646,656,663,672,681,692,699,704,712,725,731,745,746,760,771,775,785,797,798,808,821,827,838,840,850,863,873,881,887,898,905,912,922,933,938,950,954,965,975,980,992,1001,1003,1018,1020,1035,1041,1049,1061,1069,1078,1080,1092,1100,1110,1115,1126,1137,1143,1155,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,19,34,39,44,54,66,68,82,90,96,108,113,123,134,141,147,158,165,177,313,319,335,341,348,360,367,376,386,393,396,405,417,428,433,441,468,605,610,623,631,641,644,658,668,672,679,694,699,704,712,723,736,741,747,762,764,775,785,791,803,810,821,827,833,847,852,861,871,876,890,898,900,908,920,929,940,948,951,966,968,984,988,998,1003,1018,1026,1033,1039,1046,1053,1070,1078,1082,1087,1103,1108,1117,1122,1134,1146,1147,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,27,39,45,59,63,68,84,88,96,103,111,125,130,136,153,154,165,172,316,319,334,342,345,357,362,374,378,388,397,403,420,421,429,440,598,606,612,625,628,635,651,658,668,674,678,688,700,711,714,728,735,746,748,762,767,779,782,790,802,806,816,823,834,842,854,864,867,875,885,891,904,910,920,927,936,948,953,962,971,981,989,995,1004,1011,1020,1028,1043,1047,1061,1062,1078,1083,1093,1098,1105,1116,1125,1131,1143,1151,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,32,37,49,55,63,75,84,92,99,103,113,120,132,144,146,157,167,171,315,325,329,340,344,360,363,371,384,391,395,407,415,421,432,442,457,608,613,624,634,638,646,656,665,669,679,686,698,708,713,722,735,740,747,763,768,774,786,793,802,814,817,824,834,845,852,857,870,874,889,894,907,915,924,929,939,947,954,966,973,983,990,994,1010,1016,1022,1036,1037,1052,1058,1064,1076,1086,1088,1096,1110,1113,1125,1134,1147,1151,1164,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,18,29,38,42,52,66,68,83,89,99,109,119,121,132,140,146,159,164,177,317,321,330,343,352,359,367,375,385,390,403,409,418,421,430,443,471,604,609,622,629,642,650,657,663,670,685,691,699,709,718,725,732,742,753,760,766,772,786,792,805,806,821,828,835,843,848,864,869,878,889,892,901,914,917,930,940,946,959,963,976,984,987,994,1008,1014,1022,1033,1039,1047,1058,1068,1074,1081,1091,1101,1107,1113,1129,1134,1144,1155,1161,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,21,25,37,49,54,66,75,80,91,101,107,116,122,133,139,149,159,162,177,317,323,329,339,350,353,365,373,380,387,402,406,419,425,429,439,470,601,615,618,627,638,645,654,669,670,680,691,696,711,717,725,732,737,753,758,770,772,785,792,799,810,822,830,839,845,854,858,869,877,883,896,907,910,923,931,942,944,954,965,973,984,988,998,1007,1015,1025,1032,1037,1052,1056,1062,1078,1081,1092,1103,1111,1118,1126,1132,1145,1155,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,31,40,48,52,64,68,78,85,98,106,117,120,129,142,151,159,164,173,316,321,329,336,351,354,367,376,384,386,396,403,420,429,437,438,598,604,613,624,634,635,651,660,669,670,681,690,697,703,713,725,729,740,753,760,767,777,782,796,802,811,818,829,833,840,853,859,868,874,887,899,904,913,919,932,936,947,951,964,976,977,989,995,1005,1018,1019,1031,1043,1046,1055,1069,1079,1083,1090,1102,1109,1121,1128,1138,1145,1150,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,25,26,34,43,57,61,72,85,87,100,107,112,121,129,141,149,161,170,178,182,319,327,338,347,358,367,373,386,393,397,410,417,426,434,439,598,601,612,625,632,641,651,658,661,674,683,689,699,707,716,721,732,743,752,758,765,775,787,791,803,810,820,823,832,844,850,860,872,878,889,897,900,916,923,929,935,942,956,961,970,977,989,997,1005,1012,1024,1029,1038,1045,1057,1063,1075,1082,1094,1099,1112,1114,1122,1137,1145,1151,1162,1165,1173	1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,19,29,39,51,57,66,72,84,90,93,110,112,120,133,140,148,156,165,177,317,319,327,337,350,353,369,375,382,394,396,406,417,426,436,439,471,603,611,622,628,640,650,658,660,672,682,691,695,710,718,725,732,737,752,756,766,772,781,792,804,814,817,828,838,841,849,858,867,875,887,898,900,908,919,931,939,947,952,961,971,979,992,997,1007,1014,1025,1032,1044,1051,1055,1064,1075,1083,1096,1102,1105,1118,1128,1135,1140,1154,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,27,39,45,58,66,73,79,93,96,105,111,126,136,142,145,159,164,172,316,323,328,339,349,354,361,370,378,388,396,410,414,429,437,442,600,603,613,618,627,637,646,657,661,671,684,693,700,703,717,723,729,743,751,757,769,772,786,797,798,808,822,823,833,841,850,860,872,878,885,896,904,912,920,925,935,946,951,960,974,977,985,994,1002,1014,1024,1028,1038,1045,1054,1066,1071,1081,1091,1100,1107,1121,1123,1136,1147,1153,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,17,19,29,36,49,59,65,71,83,91,100,110,112,126,128,144,148,153,162,172,315,319,329,335,346,360,367,375,386,394,397,407,415,427,435,445,596,607,614,621,634,636,649,659,662,670,682,688,695,708,719,724,731,738,749,761,764,777,780,793,799,807,817,827,832,846,856,865,871,875,886,897,908,913,917,925,940,944,958,963,968,982,986,999,1008,1015,1023,1028,1042,1045,1061,1068,1075,1079,1090,1096,1108,1119,1123,1132,1146,1155,1157,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,30,39,45,58,60,74,80,92,94,107,115,124,130,141,151,159,168,175,317,319,334,340,346,360,368,373,380,390,400,409,418,426,437,438,469,603,615,619,634,636,650,652,669,671,679,688,702,709,714,728,735,737,750,755,765,774,784,789,799,809,819,828,835,847,852,860,867,874,888,898,904,912,922,928,934,947,951,964,974,983,989,999,1008,1017,1027,1032,1039,1045,1058,1063,1077,1085,1091,1097,1108,1120,1123,1131,1147,1153,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,27,36,51,59,66,72,81,90,101,103,111,122,134,138,149,156,170,174,184,322,334,340,351,355,361,377,381,394,400,406,413,428,431,446,447,604,617,624,632,635,644,655,665,674,682,693,702,706,718,723,730,738,747,759,766,779,785,793,804,812,822,826,838,846,855,861,870,876,883,897,900,910,917,931,936,949,951,959,974,980,992,1001,1005,1016,1020,1028,1042,1051,1054,1069,1073,1082,1089,1103,1110,1113,1125,1138,1146,1154,1156,1165	1,0,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,21,32,36,45,57,65,71,78,87,100,110,111,122,130,136,146,161,164,172,314,320,332,338,348,354,365,370,381,392,400,408,417,427,433,438,600,602,616,623,631,641,651,659,665,673,682,688,701,707,717,720,737,743,748,754,766,771,788,795,799,809,819,829,835,840,853,860,873,881,884,894,901,916,918,927,936,946,952,964,971,979,993,1001,1003,1016,1022,1029,1037,1046,1060,1067,1070,1084,1093,1098,1108,1121,1122,1132,1140,1147,1160,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,28,40,48,54,60,69,81,85,100,109,118,127,134,141,149,155,167,175,317,319,331,338,347,360,363,373,380,388,399,409,418,425,434,445,596,603,614,621,630,637,646,655,661,671,680,694,695,704,715,722,736,744,748,760,763,776,785,795,805,808,817,825,833,846,851,861,873,878,884,898,900,910,923,925,941,944,955,963,976,981,993,996,1002,1011,1025,1030,1044,1051,1056,1070,1073,1084,1094,1103,1106,1113,1125,1137,1140,1149,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,28,35,45,56,65,70,84,90,100,102,118,128,134,137,148,159,169,172,313,318,329,336,351,352,363,376,383,389,402,406,419,423,436,444,598,608,614,622,634,636,644,660,662,674,683,689,702,708,719,726,735,738,747,760,768,779,781,791,805,812,814,823,835,847,850,858,873,879,888,896,900,910,924,926,937,948,958,963,972,982,986,995,1003,1019,1023,1032,1042,1051,1057,1065,1071,1083,1092,1103,1105,1121,1128,1134,1142,1148,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,32,38,47,51,64,73,76,93,101,107,113,127,128,140,147,160,166,177,316,318,330,342,348,357,361,372,378,394,397,411,417,427,431,441,460,607,617,622,634,640,643,653,667,674,679,691,699,711,714,721,731,743,750,762,768,774,783,789,801,807,817,830,837,843,856,861,868,882,888,892,908,911,917,931,935,943,954,964,971,983,990,997,1005,1018,1027,1028,1037,1045,1059,1068,1070,1085,1091,1103,1110,1119,1124,1131,1146,1150,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,31,35,48,55,66,70,83,90,95,108,113,120,130,137,146,155,164,173,317,324,332,341,346,359,366,369,378,390,395,410,414,422,432,438,596,604,613,624,628,636,649,657,667,671,681,691,696,711,716,723,732,745,749,756,766,772,781,794,804,810,821,828,837,845,850,858,867,877,889,891,901,909,921,928,936,943,959,966,969,977,990,994,1009,1018,1022,1033,1043,1051,1060,1068,1077,1083,1090,1097,1107,1121,1126,1130,1140,1148,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,26,35,50,52,67,73,82,88,97,106,118,122,128,141,147,159,169,178,313,318,327,342,351,352,366,376,382,389,396,403,415,423,431,445,468,605,611,623,632,637,646,653,667,670,679,694,698,709,716,724,731,739,750,756,768,774,786,792,802,809,819,823,836,844,851,863,869,881,890,896,908,913,919,928,937,945,954,965,969,980,989,997,1007,1017,1020,1036,1043,1048,1060,1067,1079,1081,1093,1102,1106,1118,1127,1137,1145,1153,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,29,35,50,51,67,75,77,88,99,109,114,128,136,142,149,158,169,173,316,326,332,338,350,358,362,373,383,391,402,404,420,423,434,442,599,602,610,618,632,638,644,653,667,676,682,688,703,711,720,723,733,742,749,761,764,775,785,793,802,811,814,824,832,841,850,859,871,879,890,892,905,914,917,932,939,946,951,966,970,981,986,995,1002,1019,1027,1035,1041,1045,1056,1070,1077,1084,1092,1104,1112,1120,1124,1134,1142,1152,1164,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,32,36,48,58,67,73,83,87,100,103,116,125,129,137,152,154,163,171,318,319,330,343,351,355,366,370,378,393,396,408,417,421,434,446,599,604,616,625,631,637,645,654,665,673,683,691,697,707,718,721,737,739,754,760,767,777,780,788,798,813,814,824,837,840,855,861,868,877,890,891,901,916,917,930,936,944,959,964,971,984,988,999,1007,1013,1027,1029,1039,1053,1055,1069,1072,1082,1088,1096,1109,1118,1129,1138,1142,1150,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,28,37,48,53,63,73,79,92,97,110,119,126,131,140,148,157,165,172,317,324,333,337,349,357,368,375,385,392,396,405,413,428,431,444,600,601,610,623,632,638,651,653,666,670,680,691,700,710,712,727,731,738,753,761,767,778,785,795,805,806,821,828,833,846,849,864,869,877,884,897,901,916,922,933,937,945,952,962,968,985,988,999,1010,1012,1022,1031,1041,1050,1061,1064,1073,1079,1094,1100,1105,1119,1125,1132,1141,1154,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,31,36,45,51,65,68,82,89,99,105,116,121,129,142,149,159,164,176,315,326,329,339,352,355,361,373,380,391,403,410,417,428,436,445,458,608,617,622,631,642,651,652,666,670,681,689,700,705,718,723,732,738,746,756,770,772,788,794,800,809,822,824,836,841,850,863,871,879,887,896,903,913,918,927,939,949,956,965,970,979,988,994,1006,1015,1024,1031,1040,1048,1057,1067,1070,1083,1090,1102,1108,1115,1130,1134,1145,1152,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,25,34,47,59,62,72,84,87,95,110,119,122,135,142,153,154,163,176,314,321,335,343,351,356,367,377,385,389,396,405,414,428,431,437,470,607,615,618,631,637,649,658,661,676,685,686,701,707,719,726,737,740,750,755,765,776,787,794,801,806,814,830,832,843,852,859,867,880,886,891,902,909,921,925,935,948,955,962,970,980,985,1001,1006,1016,1020,1035,1037,1046,1061,1066,1076,1081,1089,1099,1107,1121,1128,1133,1141,1155,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,27,39,49,53,62,70,80,88,101,102,115,120,128,139,153,155,168,178,313,321,329,341,346,353,366,377,382,394,399,409,417,421,434,442,598,602,615,620,631,638,646,654,661,677,683,694,700,709,719,724,729,738,751,761,768,779,782,797,798,813,817,829,838,847,855,863,869,879,887,896,901,911,917,932,939,943,957,963,971,977,986,999,1007,1012,1021,1033,1043,1045,1058,1068,1074,1079,1092,1103,1113,1116,1124,1138,1140,1153,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,27,41,46,52,67,73,77,89,96,104,116,120,128,140,148,156,166,171,179,326,330,335,347,359,367,376,378,389,395,403,417,421,432,446,448,606,616,624,629,636,645,654,661,677,685,690,697,711,715,727,733,744,754,761,763,778,783,792,799,806,817,823,831,841,850,862,866,875,886,892,905,912,917,932,938,946,956,962,975,981,987,999,1006,1014,1023,1028,1042,1050,1054,1069,1076,1085,1088,1099,1111,1120,1123,1130,1144,1153,1161,1172,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
6,11,24,28,35,43,55,63,68,84,90,94,106,117,127,135,143,145,160,167,179,191,319,327,336,348,360,365,369,384,393,399,404,417,421,436,441,466,601,610,621,628,636,646,654,664,676,685,689,699,705,714,724,730,740,750,756,767,774,782,789,799,810,820,825,834,847,849,861,867,881,885,899,901,915,920,933,938,948,956,965,969,981,986,995,1005,1012,1026,1036,1041,1051,1060,1068,1075,1085,1089,1097,1108,1121,1122,1133,1143,1153,1156,1165	0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,23,31,39,46,58,63,69,77,93,94,106,117,125,134,141,146,161,164,175,185,321,334,339,344,354,368,373,384,387,401,409,416,422,432,445,468,608,612,623,627,635,644,653,663,674,681,686,699,708,717,728,735,738,751,760,764,773,785,797,798,808,822,825,833,842,852,865,873,876,890,896,900,915,920,931,936,948,956,960,974,981,989,1001,1007,1011,1027,1033,1038,1046,1053,1063,1072,1084,1088,1099,1112,1113,1127,1134,1142,1154,1164,1170,1177	0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,24,28,34,43,59,61,72,79,87,99,107,111,122,131,137,145,155,163,175,185,324,331,342,344,358,364,373,384,387,399,411,420,421,431,439,460,603,617,622,630,638,650,658,662,676,685,689,696,709,719,720,733,743,747,755,770,778,787,791,805,807,817,824,832,843,851,862,869,881,884,898,904,911,923,930,941,946,953,965,971,977,989,997,1005,1016,1020,1033,1042,1053,1060,1069,1077,1085,1088,1097,1106,1120,1125,1130,1146,1154,1161,1171,1176	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,12,21,28,37,43,51,64,74,85,89,102,103,117,124,132,141,152,161,168,177,180,324,331,339,344,356,366,375,379,387,403,404,415,427,436,441,599,601,617,621,627,635,646,656,663,669,681,690,697,704,713,722,736,741,752,758,763,775,782,794,803,812,822,826,833,843,848,862,868,874,888,891,905,915,921,932,935,950,951,960,968,983,991,1002,1003,1015,1022,1035,1037,1048,1061,1063,1075,1086,1090,1101,1108,1118,1126,1130,1144,1147,1162,1164,1175	1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
6,10,18,32,41,48,51,66,76,78,92,96,107,117,127,133,143,148,155,164,175,185,326,333,338,345,352,365,374,384,387,399,405,420,423,429,440,599,608,616,622,627,639,644,656,666,673,678,692,701,711,713,727,735,741,749,755,766,772,786,797,800,810,815,823,834,841,850,862,867,875,890,898,907,908,916,929,942,948,958,964,974,984,991,994,1009,1014,1021,1030,1039,1047,1053,1067,1071,1083,1089,1096,1111,1116,1126,1135,1144,1153,1158,1166,1177	0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,24,33,38,44,56,62,71,78,85,96,109,113,119,131,139,149,155,169,177,180,324,327,341,348,357,366,376,378,392,397,407,418,421,434,439,599,605,616,620,627,637,644,657,666,677,685,686,699,711,713,721,734,742,747,763,767,773,783,790,801,809,821,823,833,847,848,864,867,882,888,894,901,915,919,933,938,947,954,964,969,976,991,994,1004,1012,1024,1029,1040,1045,1056,1065,1073,1084,1087,1098,1106,1115,1122,1136,1144,1152,1157,1172,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,20,28,35,50,57,65,73,78,91,96,107,111,121,133,140,145,158,163,172,181,326,330,340,350,355,366,374,383,389,397,409,414,425,430,443,598,606,611,618,632,641,647,656,664,669,683,694,700,706,716,721,735,738,748,758,766,774,786,792,799,812,814,825,836,840,850,859,870,879,885,892,903,908,921,930,936,945,951,966,968,977,987,996,1009,1018,1021,1034,1043,1053,1056,1064,1071,1081,1091,1103,1106,1113,1129,1138,1144,1155,1157,1167,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,22,31,39,44,58,66,74,82,91,102,106,118,126,135,144,148,158,167,179,315,326,331,339,344,352,362,371,386,387,400,404,412,428,429,441,600,607,615,618,634,637,644,654,661,669,679,689,701,706,717,726,729,740,747,758,764,776,786,792,799,812,819,830,838,840,851,859,868,879,889,891,904,910,918,926,938,946,951,961,973,984,991,998,1009,1016,1027,1028,1040,1049,1056,1064,1074,1086,1091,1098,1107,1120,1128,1138,1144,1149,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,32,38,47,55,64,75,80,90,101,106,114,121,131,139,148,157,165,173,179,325,331,337,351,356,366,370,384,391,398,407,419,425,437,440,597,605,612,618,629,643,651,658,665,674,686,687,696,710,719,722,732,744,749,761,767,776,782,796,797,810,821,830,834,844,851,860,871,881,886,894,904,912,919,932,939,946,953,962,973,980,989,993,1003,1011,1025,1034,1040,1051,1057,1066,1077,1079,1092,1098,1112,1116,1122,1133,1140,1151,1156,1171	1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
7,15,18,33,41,49,58,64,70,81,93,94,103,114,121,132,137,148,156,167,177,179,319,329,341,350,357,368,377,382,394,395,410,418,421,434,444,600,603,612,621,632,643,651,657,660,672,677,686,697,707,720,721,732,745,750,755,766,775,786,790,803,813,816,831,838,847,849,865,866,878,885,899,904,913,917,928,938,944,954,965,975,984,991,995,1006,1017,1022,1034,1037,1046,1058,1069,1075,1083,1089,1096,1109,1116,1126,1134,1147,1149,1156,1170,1177	1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,19,31,40,43,57,62,74,79,88,100,106,115,122,129,144,148,157,166,176,190,318,330,339,350,352,366,369,381,393,402,407,418,423,429,443,599,609,616,623,634,642,647,656,661,670,681,690,695,711,718,722,732,742,747,761,767,771,787,792,802,812,822,826,834,841,856,861,871,879,883,894,900,911,920,925,934,945,953,967,975,981,990,998,1006,1012,1021,1035,1042,1052,1057,1069,1075,1085,1091,1103,1111,1119,1125,1138,1147,1155,1157,1171,1174	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0
7,16,25,29,37,44,57,66,76,80,87,98,105,113,124,131,138,146,154,166,176,185,318,331,335,348,356,368,370,378,388,402,410,419,421,433,438,598,608,611,620,633,638,646,657,662,674,685,694,700,708,716,721,737,742,746,758,769,778,782,792,798,805,820,824,832,844,852,865,874,882,891,898,904,915,919,925,941,945,955,965,972,985,991,998,1008,1016,1021,1028,1037,1049,1055,1067,1076,1087,1092,1097,1110,1117,1125,1131,1140,1147,1160,1170,1173	1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,24,27,42,45,54,64,73,80,86,98,109,114,121,134,138,153,154,164,177,316,320,330,337,348,354,364,369,383,388,395,404,414,421,434,438,448,605,612,621,633,642,644,656,660,669,684,694,698,706,712,723,732,738,747,759,767,775,786,796,797,813,817,828,837,841,854,860,871,881,882,896,908,911,920,926,939,945,955,964,971,978,986,998,1008,1019,1025,1029,1042,1048,1061,1063,1073,1080,1090,1096,1105,1119,1123,1138,1144,1154,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,18,31,39,47,56,62,75,83,92,99,108,111,124,131,139,146,156,166,171,185,323,332,336,346,357,365,371,379,394,397,405,417,421,436,444,597,605,616,618,631,635,648,658,665,671,681,693,699,710,715,722,736,738,753,762,764,775,787,796,797,809,821,828,833,841,850,861,872,882,889,891,900,911,917,927,935,947,955,961,975,978,986,996,1006,1012,1023,1029,1044,1048,1061,1065,1076,1084,1087,1103,1109,1121,1125,1131,1140,1154,1157,1169,1177	0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,16,25,32,37,46,59,62,76,84,88,101,109,112,122,128,144,146,161,163,172,315,323,329,341,347,357,364,372,385,389,396,406,413,427,431,445,453,602,616,622,630,642,648,656,668,670,681,688,697,705,714,724,734,743,746,762,764,774,783,790,799,810,820,823,835,845,849,857,867,876,883,893,903,910,920,927,942,946,954,965,971,981,987,1000,1002,1013,1021,1033,1037,1053,1061,1069,1071,1086,1091,1101,1107,1114,1125,1131,1147,1150,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,27,39,46,59,67,74,83,87,96,108,119,124,133,138,148,155,167,177,314,322,333,339,350,356,368,377,379,388,401,407,417,429,433,438,599,603,615,626,628,636,646,656,667,670,678,687,698,705,718,722,731,738,752,758,770,776,781,792,802,809,819,825,835,844,854,860,871,882,883,897,908,912,923,928,942,949,954,963,976,981,985,993,1004,1017,1025,1030,1041,1049,1054,1068,1077,1085,1094,1099,1112,1119,1125,1132,1145,1151,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,32,40,50,52,67,69,80,93,98,108,111,120,135,139,147,159,165,173,315,322,329,336,352,358,366,371,378,389,402,404,420,426,431,444,468,609,617,622,633,643,646,658,665,675,682,687,701,706,720,724,734,740,753,757,765,779,780,791,804,809,814,823,836,841,850,862,867,881,887,898,907,909,919,925,940,951,959,962,968,981,991,996,1007,1012,1026,1029,1036,1052,1061,1062,1075,1081,1092,1103,1107,1116,1126,1136,1144,1155,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,33,42,43,54,67,69,84,93,96,104,112,121,134,142,145,156,164,171,313,320,335,343,346,354,367,375,378,388,400,406,419,425,433,439,596,605,617,621,633,637,648,655,666,674,684,694,696,706,714,722,732,745,750,762,765,778,781,789,803,808,816,830,833,842,851,865,868,878,884,895,901,914,917,928,941,948,956,962,968,977,991,996,1004,1012,1023,1029,1038,1046,1055,1067,1077,1081,1094,1101,1109,1119,1124,1132,1141,1150,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,33,35,49,54,61,74,79,88,99,102,112,127,133,143,152,160,167,175,316,323,327,336,347,353,367,376,380,390,403,404,419,425,431,442,597,608,614,618,630,636,650,654,666,674,683,693,697,708,715,722,731,738,753,755,769,774,782,789,797,810,814,823,831,841,856,864,873,874,886,898,905,913,922,930,937,946,952,963,971,980,991,995,1003,1019,1027,1031,1040,1053,1056,1068,1078,1080,1089,1103,1105,1115,1128,1136,1141,1155,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,29,40,44,58,59,73,81,91,98,106,118,122,130,143,149,156,168,171,314,322,332,341,345,352,362,371,382,392,399,408,420,426,436,440,599,603,617,619,630,643,645,659,663,677,681,687,698,705,719,726,734,739,753,761,766,780,782,791,805,812,816,827,835,846,850,863,869,880,889,896,904,916,920,929,939,946,953,964,972,977,990,999,1003,1015,1025,1036,1042,1049,1055,1063,1071,1081,1095,1102,1105,1120,1125,1131,1145,1154,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,30,39,48,51,62,68,80,85,95,106,118,122,129,137,147,157,168,178,313,320,331,340,346,355,365,373,379,391,397,408,416,420,430,437,467,603,615,623,631,643,650,653,666,670,679,694,696,708,714,720,734,737,750,762,769,777,782,789,805,812,817,822,839,846,852,865,872,878,890,892,902,908,923,928,942,946,957,961,970,977,991,997,1004,1011,1020,1028,1039,1051,1054,1064,1071,1085,1094,1103,1106,1118,1123,1130,1146,1152,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,25,28,40,50,56,65,76,78,86,98,107,115,121,132,139,150,157,166,178,318,322,330,341,345,353,363,373,379,390,401,411,420,425,431,441,597,605,615,623,631,636,651,659,661,670,682,687,698,706,715,726,735,743,747,758,768,772,783,795,799,814,816,830,835,846,854,863,871,879,887,891,907,912,919,931,941,948,953,965,971,980,991,995,1008,1010,1025,1034,1036,1052,1057,1069,1077,1084,1096,1101,1108,1113,1129,1131,1144,1154,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,28,42,46,52,64,71,78,93,94,104,119,122,129,140,152,160,162,177,183,322,327,337,350,357,366,376,381,393,401,410,412,422,436,438,600,606,613,621,628,641,652,653,665,672,686,689,699,711,717,724,731,738,749,761,763,774,786,794,798,808,821,827,832,846,856,863,869,878,890,897,902,909,920,927,941,945,952,968,976,978,988,1001,1006,1018,1020,1030,1039,1048,1053,1066,1077,1083,1094,1098,1111,1119,1123,1138,1144,1148,1157,1171,1178	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
6,9,17,26,39,46,53,67,75,79,89,102,106,115,124,132,141,153,154,163,171,318,323,333,338,344,353,365,375,383,395,403,408,414,426,433,443,467,607,611,618,626,643,651,660,667,676,681,692,698,708,719,727,729,743,751,762,771,777,782,794,805,809,815,824,839,840,856,865,869,879,882,894,902,909,918,927,936,945,955,963,972,984,987,1001,1002,1018,1022,1032,1044,1047,1055,1062,1075,1086,1091,1102,1112,1114,1125,1137,1146,1147,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,26,40,50,59,60,70,85,92,97,105,112,123,135,140,148,158,163,173,313,325,333,337,347,356,368,374,380,394,400,411,412,428,435,439,453,608,617,625,633,637,644,652,662,677,685,691,697,704,713,723,730,738,754,755,764,773,787,789,802,813,819,825,838,840,856,860,870,879,885,893,900,912,923,930,940,944,959,961,968,983,991,997,1005,1012,1027,1033,1040,1052,1054,1064,1079,1085,1090,1099,1110,1118,1130,1138,1143,1151,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,28,41,45,56,68,71,84,90,100,104,118,122,131,139,145,157,165,176,314,324,331,335,347,357,364,369,382,394,395,405,417,428,432,440,463,604,613,624,630,636,645,657,665,669,681,689,697,709,718,725,734,739,750,754,771,772,784,789,800,811,818,829,835,841,852,863,868,882,887,898,904,913,922,931,938,948,952,967,972,977,989,1001,1003,1011,1022,1029,1038,1052,1054,1068,1076,1084,1095,1100,1105,1118,1125,1133,1145,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,20,31,38,43,58,64,69,81,91,100,110,112,124,129,143,152,161,162,176,316,323,328,335,347,360,367,377,381,390,401,405,417,423,435,440,598,601,616,625,628,639,644,658,667,673,678,692,695,705,714,724,731,737,748,758,768,772,785,795,802,809,819,828,838,843,852,860,869,875,885,898,907,909,919,932,935,943,957,965,974,979,985,1001,1008,1012,1027,1030,1036,1052,1059,1064,1078,1084,1094,1103,1107,1115,1126,1134,1145,1152,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,17,31,42,50,54,67,68,84,89,94,104,117,127,129,139,147,155,166,178,190,319,334,341,344,360,363,369,385,388,395,406,415,425,437,441,600,602,612,622,630,639,652,658,667,669,683,689,696,706,719,726,729,740,749,761,769,772,787,793,800,813,821,828,839,848,855,865,874,879,890,893,904,908,920,931,934,943,957,963,975,977,987,995,1007,1017,1019,1028,1040,1053,1056,1062,1072,1082,1091,1102,1111,1118,1124,1134,1142,1154,1162,1171,1174	0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,14,23,32,41,50,51,67,73,82,93,95,106,118,122,131,137,152,161,167,177,315,325,330,336,350,358,362,377,385,391,400,412,417,425,434,440,598,603,612,621,634,636,647,652,668,675,679,694,701,708,716,727,736,739,750,759,764,775,782,797,800,814,820,824,835,842,855,858,868,876,889,897,902,909,923,925,940,943,959,965,970,977,993,997,1007,1011,1026,1030,1042,1047,1056,1065,1074,1087,1091,1102,1109,1119,1124,1134,1141,1151,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,27,40,47,58,66,69,78,93,99,105,112,123,135,144,147,157,170,176,317,324,330,339,351,358,369,373,385,391,402,404,415,423,435,446,598,601,612,619,627,641,650,657,664,672,684,690,701,710,720,724,736,741,752,759,764,775,787,795,802,808,818,825,834,845,852,857,867,878,885,893,901,914,924,933,941,942,957,963,969,980,985,1000,1005,1019,1020,1028,1038,1045,1053,1065,1073,1086,1088,1097,1109,1115,1123,1134,1146,1154,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,31,36,49,57,61,69,83,93,102,110,114,126,129,139,150,160,163,174,314,319,333,341,348,354,366,377,382,387,400,410,419,426,436,441,458,602,613,621,626,642,650,654,663,674,681,687,699,710,719,729,735,737,750,756,767,779,784,791,804,808,819,826,831,841,849,863,873,882,884,896,907,913,919,933,935,945,955,960,969,984,993,1001,1008,1010,1026,1034,1043,1049,1053,1066,1074,1084,1090,1096,1112,1114,1129,1137,1140,1153,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,26,38,46,51,67,75,82,90,96,109,111,120,132,140,151,159,168,171,313,326,332,335,352,359,364,371,379,390,395,404,416,425,435,444,596,608,616,619,631,636,646,652,665,672,679,693,699,709,718,720,729,741,749,757,766,773,784,797,800,809,821,825,835,843,855,858,871,879,888,897,903,909,918,928,937,947,957,963,970,978,986,999,1003,1014,1025,1030,1041,1047,1057,1063,1074,1081,1092,1103,1113,1121,1124,1138,1144,1149,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,28,42,46,51,62,73,81,93,95,110,115,123,136,137,147,157,162,172,314,322,332,337,345,353,363,374,385,389,399,406,412,423,430,442,454,605,615,625,632,638,650,657,662,674,683,690,698,704,712,728,735,742,746,759,765,775,785,789,802,812,818,828,838,843,853,860,874,877,884,899,902,916,920,927,934,944,958,968,973,981,991,995,1010,1015,1022,1035,1042,1048,1056,1065,1072,1084,1094,1100,1109,1114,1125,1138,1144,1155,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,26,35,50,52,67,74,84,85,98,106,112,123,134,144,152,154,163,176,313,326,334,343,351,356,369,375,384,387,400,410,412,422,437,438,469,609,614,621,627,636,644,653,661,677,680,687,696,704,718,726,735,744,753,761,763,778,783,793,805,813,822,827,831,847,849,857,873,874,890,897,903,912,922,932,937,947,956,964,971,983,988,996,1010,1017,1022,1031,1044,1046,1061,1063,1077,1083,1089,1099,1109,1114,1130,1137,1139,1151,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,21,33,37,42,53,60,74,78,86,101,110,117,127,131,140,145,158,163,171,314,319,330,342,349,353,365,373,383,386,400,408,418,422,437,439,465,601,609,624,633,635,643,656,664,677,681,693,699,703,717,728,737,743,746,761,763,777,785,793,805,808,814,828,835,847,856,860,866,881,889,896,906,909,917,932,936,947,957,962,968,977,990,995,1009,1013,1027,1028,1039,1047,1060,1067,1070,1084,1088,1104,1106,1113,1123,1138,1140,1147,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,32,40,44,55,65,75,80,88,96,102,111,124,134,139,150,157,162,176,317,323,334,341,344,355,362,373,380,390,395,405,415,427,433,442,597,609,616,625,631,640,644,656,662,673,683,691,702,705,716,722,735,740,753,755,770,773,783,792,799,810,820,827,839,844,856,864,866,875,884,892,907,909,919,933,938,950,955,968,973,984,990,997,1007,1018,1023,1032,1042,1048,1054,1063,1076,1085,1095,1097,1105,1120,1126,1134,1143,1150,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,24,28,38,44,54,61,75,77,90,97,104,114,127,131,139,146,153,167,171,317,324,327,341,350,353,362,377,378,391,400,409,413,425,433,441,453,609,611,619,633,639,647,654,661,672,680,692,700,704,717,724,735,740,747,761,767,778,782,793,799,807,822,825,834,848,854,860,869,877,888,891,907,915,919,928,936,949,954,966,968,979,989,998,1005,1012,1023,1036,1037,1046,1056,1069,1079,1082,1092,1103,1111,1117,1124,1138,1144,1155,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,25,26,42,45,55,63,71,80,86,99,106,116,124,133,137,146,153,169,172,314,320,330,338,345,355,369,371,385,391,400,409,415,424,434,439,597,608,612,619,633,639,648,653,660,670,682,691,697,710,711,723,733,740,747,761,771,772,783,789,799,813,816,829,837,847,850,865,870,879,889,898,903,916,919,928,939,945,957,966,969,982,993,996,1004,1014,1025,1035,1041,1046,1053,1070,1071,1081,1093,1099,1108,1119,1127,1132,1142,1150,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,24,27,39,48,52,60,71,83,89,94,106,112,125,134,138,149,160,166,175,313,319,330,340,348,355,362,370,381,391,400,406,412,421,434,443,451,600,617,619,632,636,646,656,667,677,684,687,700,711,715,722,732,738,750,762,769,776,784,794,800,808,821,830,837,845,848,858,873,882,890,892,902,915,924,930,936,949,957,959,975,981,986,995,1008,1017,1020,1033,1042,1047,1059,1063,1071,1081,1096,1098,1112,1114,1126,1132,1140,1150,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,32,40,48,57,59,68,80,92,101,105,113,122,130,140,152,157,163,173,313,319,331,341,349,360,367,377,384,389,402,410,413,424,431,438,598,603,615,620,627,643,644,656,663,676,685,692,696,710,716,724,734,744,751,755,763,772,783,792,799,810,815,830,839,841,857,858,872,874,889,891,902,909,921,925,934,947,958,963,974,981,990,1001,1006,1019,1022,1028,1041,1045,1060,1063,1078,1083,1095,1103,1113,1114,1130,1135,1140,1153,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,31,40,46,54,65,75,78,85,95,110,115,123,133,143,151,156,164,178,186,324,332,338,350,358,366,377,382,387,403,409,417,427,437,440,600,607,614,624,628,640,645,656,663,671,685,693,701,704,719,721,737,739,747,761,763,774,784,793,800,811,819,824,832,840,853,861,874,877,883,899,902,915,923,932,938,947,953,960,969,985,986,1000,1005,1011,1024,1028,1044,1046,1055,1064,1076,1083,1087,1098,1105,1115,1126,1133,1146,1148,1159,1171,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,21,31,37,46,51,64,72,81,86,101,108,116,123,128,137,148,160,163,176,190,324,334,343,347,357,364,371,386,387,397,407,418,428,432,446,465,603,614,623,629,635,648,656,661,673,680,693,700,707,718,727,736,742,753,759,768,772,786,794,797,806,819,829,837,840,852,865,866,882,885,892,907,915,917,932,938,947,958,964,974,982,987,997,1002,1013,1027,1034,1039,1047,1055,1069,1076,1087,1089,1100,1106,1114,1126,1135,1146,1148,1158,1171	0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0
7,10,23,31,40,45,57,61,73,77,93,99,102,115,128,130,139,151,153,165,179,208,321,334,337,347,354,365,371,385,387,397,408,417,426,436,443,600,601,615,618,631,636,645,656,665,672,679,693,698,703,715,722,732,738,753,755,764,778,786,795,802,812,821,826,838,840,854,857,869,877,890,893,907,913,918,929,936,943,958,963,974,979,993,997,1005,1014,1025,1036,1038,1050,1059,1062,1079,1084,1096,1102,1108,1117,1125,1135,1146,1150,1157,1166,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,20,30,40,45,56,61,69,79,92,99,104,111,123,135,143,146,154,169,175,182,324,330,337,348,359,364,370,380,393,397,407,414,429,433,438,600,601,612,620,633,643,648,652,661,676,683,694,702,704,717,727,730,744,747,759,770,773,785,789,800,811,819,824,839,841,850,860,868,879,885,896,903,913,923,925,941,948,957,965,973,981,985,994,1006,1013,1019,1035,1044,1049,1060,1063,1073,1081,1093,1103,1112,1120,1127,1136,1142,1151,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,10,25,26,40,48,58,62,69,77,86,101,105,116,127,136,138,146,155,162,178,196,324,328,337,348,356,368,372,381,392,396,411,415,421,433,447,466,602,613,620,630,642,648,655,667,674,684,690,701,708,714,720,730,743,754,755,766,778,780,793,803,810,822,829,833,844,854,864,869,877,887,894,906,910,922,931,938,943,956,964,976,983,985,1001,1010,1012,1023,1031,1039,1051,1058,1069,1073,1079,1090,1102,1110,1120,1122,1130,1143,1148,1162,1171	1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,23,26,37,49,54,67,73,82,86,96,109,111,121,136,138,150,160,170,173,179,326,329,336,344,353,368,376,380,392,401,404,420,428,430,443,600,609,616,624,627,639,649,654,663,670,679,694,702,709,712,721,733,744,754,759,771,777,785,796,804,809,819,826,835,847,856,863,873,877,882,893,901,911,923,932,941,944,958,963,972,979,985,997,1007,1018,1020,1029,1043,1052,1057,1070,1073,1085,1092,1102,1108,1118,1129,1133,1141,1152,1162,1165,1178	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
4,14,17,25,40,43,58,61,73,82,93,96,109,113,122,128,136,148,156,168,178,185,326,330,338,344,355,361,370,378,394,399,407,419,428,431,443,457,601,617,624,627,637,643,658,669,674,678,693,697,706,718,727,732,739,746,762,766,777,780,790,802,807,821,824,838,842,851,859,867,879,885,891,901,914,921,925,940,944,957,960,971,980,985,998,1003,1015,1021,1032,1041,1045,1061,1063,1075,1085,1092,1099,1111,1114,1125,1132,1143,1151,1160,1170,1175	1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,20,30,35,50,55,66,76,80,90,96,109,115,123,134,137,147,154,169,175,187,319,328,342,345,354,364,370,386,390,395,404,415,422,437,444,599,602,616,618,629,642,648,658,668,674,678,687,695,711,714,723,734,745,752,760,768,778,786,793,803,809,819,826,837,846,853,857,870,878,887,899,906,911,917,932,938,944,953,960,971,980,986,1000,1010,1016,1023,1028,1038,1049,1054,1066,1077,1085,1094,1099,1107,1118,1126,1131,1139,1155,1163,1170,1174	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,18,32,42,44,55,61,75,77,87,94,108,114,126,130,141,145,156,164,173,314,318,334,338,347,357,367,370,383,393,402,407,412,423,429,440,600,607,616,622,628,639,644,657,667,677,678,686,698,704,716,727,734,742,753,756,763,774,787,796,801,807,815,831,836,848,854,860,873,879,888,892,906,912,919,933,936,947,957,959,973,983,992,994,1005,1013,1022,1034,1043,1051,1056,1065,1078,1086,1094,1099,1110,1115,1124,1134,1145,1152,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,27,37,46,52,62,70,81,92,99,109,117,119,129,140,146,158,162,173,183,324,332,340,348,356,367,370,383,389,395,406,420,428,429,438,599,601,617,622,633,635,649,653,666,672,681,693,695,707,720,726,734,744,746,759,767,774,782,795,801,805,820,824,836,844,856,858,871,876,889,894,900,910,919,931,937,950,951,960,968,982,990,1000,1004,1011,1025,1035,1038,1049,1061,1063,1071,1086,1092,1096,1107,1116,1128,1135,1144,1152,1156,1172,1177	1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,23,30,34,48,57,63,71,84,92,102,106,112,120,132,140,152,158,169,173,179,321,331,338,346,355,366,372,385,392,402,411,418,422,436,439,457,601,612,624,628,642,647,659,661,674,680,686,699,711,713,727,729,744,746,760,768,779,787,793,798,806,819,826,837,840,851,864,870,877,882,894,907,912,916,930,937,948,954,962,970,982,990,996,1002,1019,1021,1029,1040,1050,1061,1063,1073,1080,1092,1098,1107,1118,1126,1134,1142,1150,1159,1171,1176	1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,33,41,49,57,62,75,80,92,101,103,114,122,134,142,147,154,166,177,185,321,327,339,352,356,361,376,384,389,403,408,415,425,433,444,597,606,613,625,634,641,643,653,663,672,685,687,701,711,715,726,729,741,754,763,765,777,783,789,801,808,819,827,835,842,855,858,866,879,884,898,903,910,919,925,938,943,955,965,970,981,993,994,1005,1013,1027,1030,1042,1052,1057,1065,1076,1081,1091,1096,1106,1116,1123,1130,1142,1151,1158,1169,1175	1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,17,23,31,34,42,53,61,70,77,87,94,109,111,124,131,141,145,158,168,178,187,325,331,342,350,358,362,375,385,387,401,411,417,427,430,442,597,601,609,619,626,635,645,658,666,673,684,688,696,710,713,728,729,742,748,760,764,771,785,795,801,807,814,826,838,845,851,864,866,879,886,898,903,916,921,931,934,942,952,962,968,977,987,1001,1007,1014,1025,1031,1038,1045,1058,1067,1074,1083,1091,1099,1105,1117,1129,1133,1141,1152,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,24,28,40,50,56,68,69,79,85,99,104,118,125,128,139,151,160,163,175,180,319,331,336,350,360,365,371,379,393,397,408,412,428,437,444,447,602,611,619,626,638,644,654,667,671,682,691,698,707,716,724,736,744,754,761,767,773,784,794,801,813,820,824,838,842,855,860,869,875,888,898,906,913,917,929,940,947,959,967,975,977,985,998,1009,1017,1019,1033,1038,1046,1053,1062,1072,1083,1095,1096,1111,1118,1124,1133,1140,1154,1156,1165	1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,23,26,40,47,52,66,74,79,90,101,110,117,124,134,142,146,161,163,173,181,326,328,340,345,354,366,370,386,392,397,409,413,421,435,440,460,608,612,622,632,636,651,658,668,676,684,689,701,707,717,726,729,741,748,755,770,778,781,790,798,807,817,826,834,841,852,857,869,882,891,899,906,909,924,929,936,943,954,964,970,978,992,1000,1007,1010,1024,1032,1044,1052,1061,1063,1076,1083,1089,1096,1109,1118,1125,1135,1141,1152,1156,1171,1174	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,16,21,29,37,45,56,61,68,83,87,94,105,117,121,132,143,147,161,165,173,315,325,329,343,347,360,366,371,380,390,403,408,418,427,433,441,468,604,617,619,629,640,647,658,663,672,678,690,695,706,718,723,737,741,750,759,766,775,788,794,799,806,814,829,833,842,850,857,873,878,883,894,904,915,916,928,937,949,956,966,971,983,992,998,1009,1017,1022,1034,1043,1045,1054,1062,1070,1079,1089,1099,1112,1114,1128,1138,1140,1148,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,18,33,42,50,59,60,76,80,86,98,109,114,125,129,143,149,156,168,174,314,325,329,336,348,358,367,376,382,387,401,410,418,429,432,446,457,605,612,619,627,636,647,652,668,669,683,688,699,705,716,723,735,745,748,762,765,778,787,794,803,812,814,827,836,841,855,862,870,882,890,895,899,913,919,925,937,945,953,966,969,984,992,998,1003,1018,1025,1032,1038,1050,1057,1066,1074,1083,1094,1097,1112,1115,1128,1132,1142,1152,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,19,26,35,45,54,67,70,83,93,100,109,118,128,130,139,151,161,165,179,313,319,332,338,347,357,365,373,384,394,399,408,415,420,430,443,596,607,616,625,633,639,649,659,665,677,685,689,701,704,720,728,737,740,749,759,766,777,782,790,805,808,818,826,836,844,852,862,867,876,887,893,905,908,919,931,940,948,956,962,970,983,993,996,1010,1016,1024,1032,1040,1052,1058,1070,1072,1084,1095,1097,1111,1117,1127,1135,1140,1153,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,23,32,36,47,55,61,71,81,90,101,107,114,120,131,139,146,154,165,171,317,324,329,335,350,355,364,374,379,391,403,407,413,423,437,443,599,606,609,625,634,635,644,653,665,675,679,692,701,710,714,725,730,743,747,757,768,775,784,795,804,812,820,830,837,843,849,864,870,877,883,897,903,912,920,933,936,951,957,967,970,983,990,999,1004,1011,1026,1032,1041,1046,1054,1069,1074,1080,1093,1104,1112,1113,1122,1133,1145,1155,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,29,39,45,58,62,72,83,86,94,103,118,121,131,142,152,157,170,173,318,319,334,337,351,357,365,372,385,389,398,404,416,428,433,442,466,602,613,625,628,641,651,654,662,676,679,693,696,709,718,721,736,744,748,761,767,772,784,789,804,812,819,827,839,847,854,865,868,880,883,894,906,912,920,931,940,943,953,966,969,977,988,999,1006,1013,1021,1035,1040,1050,1061,1068,1078,1082,1095,1099,1107,1118,1125,1131,1147,1153,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,31,41,43,54,60,74,84,88,99,102,114,127,132,140,149,155,166,171,315,320,327,342,348,355,364,370,384,389,401,409,416,428,436,441,598,607,616,626,634,635,645,656,662,671,679,688,698,703,719,721,735,737,746,755,763,774,787,790,800,814,819,825,839,840,851,857,872,878,889,896,902,913,925,927,939,950,952,967,972,984,988,995,1006,1012,1027,1036,1043,1046,1055,1070,1071,1086,1089,1102,1109,1115,1124,1136,1146,1147,1160,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,28,34,46,57,67,70,83,87,95,107,112,119,134,144,145,155,166,177,315,325,332,335,344,353,367,377,381,389,397,409,413,425,434,439,598,607,616,624,630,635,647,660,664,670,680,686,695,710,720,724,732,737,748,762,767,778,786,791,801,813,818,826,838,845,852,864,870,878,886,897,900,911,920,928,941,947,957,961,975,982,986,1000,1005,1014,1024,1028,1044,1045,1057,1068,1078,1083,1088,1097,1111,1119,1127,1131,1140,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,25,41,46,54,67,69,78,90,96,106,118,124,131,138,146,162,164,170,314,323,328,340,344,353,362,372,384,392,396,403,415,423,429,438,468,602,615,624,634,637,649,659,668,673,678,689,702,704,720,725,735,743,746,758,771,779,782,791,799,810,822,827,836,840,852,860,872,876,888,893,908,912,921,931,938,948,958,964,969,976,986,998,1003,1017,1023,1028,1044,1049,1054,1062,1077,1087,1091,1098,1105,1115,1128,1131,1142,1153,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,28,41,47,55,64,72,82,86,100,107,113,124,134,139,145,160,168,176,186,318,329,335,346,356,366,375,385,393,402,409,416,426,434,440,600,606,610,621,627,635,650,657,663,672,678,688,699,710,719,726,730,740,754,760,765,779,786,789,805,812,817,824,837,843,852,859,868,882,884,895,907,911,921,929,937,948,955,966,972,983,990,997,1006,1016,1026,1030,1041,1052,1055,1069,1076,1079,1089,1098,1106,1119,1123,1132,1141,1147,1162,1170,1178	1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,33,35,43,55,60,72,82,88,101,105,112,119,136,140,152,160,165,171,313,321,334,335,350,354,368,373,382,391,396,411,419,427,431,441,463,603,611,622,627,637,651,660,662,676,681,688,696,707,711,725,732,743,748,755,765,777,782,793,801,811,816,829,837,846,849,860,874,879,882,898,905,911,920,929,939,945,952,966,973,978,986,1001,1004,1012,1023,1028,1037,1047,1058,1066,1074,1085,1089,1100,1111,1121,1122,1133,1139,1151,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,26,36,50,58,65,71,77,86,98,102,115,120,134,143,150,161,168,175,314,321,330,340,345,359,367,372,379,392,398,403,418,429,437,444,471,602,612,620,627,638,651,656,660,675,685,689,699,709,714,725,730,741,752,762,765,776,786,796,801,811,816,825,831,846,855,858,870,880,891,893,900,910,923,929,937,945,951,966,975,984,990,1001,1008,1013,1020,1036,1041,1045,1054,1070,1075,1079,1092,1099,1106,1115,1123,1138,1141,1149,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,29,41,46,55,60,75,77,86,102,104,116,124,133,139,148,161,165,175,315,322,332,339,347,359,365,376,378,388,402,407,415,429,430,446,596,601,610,624,632,639,648,659,661,669,679,691,697,711,715,726,729,743,746,757,770,779,786,788,803,810,814,827,833,845,853,863,867,874,889,894,907,915,920,926,939,943,953,961,974,984,987,999,1009,1013,1020,1030,1042,1045,1059,1067,1072,1082,1090,1097,1105,1115,1127,1138,1142,1153,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,29,41,48,53,60,72,83,90,100,110,116,121,131,137,146,158,166,171,313,323,330,337,345,358,363,377,383,391,402,409,418,424,430,443,599,608,612,620,632,636,648,655,663,674,685,687,696,704,716,728,729,742,752,761,770,775,783,794,804,810,820,829,835,846,852,859,866,880,886,892,905,914,918,932,936,950,954,964,971,982,992,995,1006,1019,1025,1034,1041,1046,1061,1066,1077,1086,1094,1096,1106,1114,1128,1132,1146,1148,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,30,39,44,51,60,72,84,93,95,106,116,126,133,143,147,156,167,176,183,325,330,343,344,359,368,372,382,393,397,403,417,420,430,441,469,607,612,618,631,636,644,656,666,670,680,693,697,707,716,727,729,741,752,755,766,773,785,790,804,808,822,825,836,843,854,858,871,878,884,893,899,914,922,927,935,946,957,965,970,977,990,997,1008,1016,1021,1035,1036,1051,1059,1068,1071,1087,1092,1097,1111,1120,1123,1130,1142,1154,1164,1171,1175	0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
5,8,19,32,41,43,52,62,71,77,89,94,110,115,124,136,142,152,155,165,174,314,325,331,343,351,360,361,373,382,386,401,406,415,426,437,444,447,603,611,619,631,635,645,658,669,671,678,686,700,704,714,721,732,742,749,756,769,778,783,796,798,806,815,829,838,840,853,860,871,878,886,894,903,911,921,931,941,942,953,961,972,983,991,993,1007,1018,1022,1029,1043,1046,1061,1068,1076,1086,1096,1101,1106,1114,1123,1134,1146,1154,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,29,41,46,53,68,76,81,91,95,103,111,120,135,143,151,156,166,171,317,324,331,341,348,353,362,372,382,391,396,409,415,426,432,440,599,601,614,625,630,641,650,658,662,673,684,694,699,704,720,727,731,743,751,762,767,774,786,791,802,807,821,827,835,847,853,861,870,880,887,898,904,909,920,927,941,943,959,960,973,980,988,1000,1007,1013,1023,1028,1039,1048,1059,1066,1073,1082,1090,1103,1108,1119,1130,1132,1139,1151,1156,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,20,26,42,48,54,61,70,84,91,99,108,113,123,133,139,153,162,166,171,317,321,334,338,350,356,368,370,379,390,400,404,413,427,437,440,596,609,615,621,626,638,644,659,666,672,682,687,702,708,716,727,735,739,753,757,771,774,780,790,800,807,820,829,831,845,852,859,872,877,886,892,906,910,924,929,935,949,952,964,975,980,991,997,1007,1016,1027,1028,1044,1050,1059,1069,1077,1087,1093,1101,1107,1116,1127,1134,1141,1151,1164,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,25,36,43,55,63,73,76,89,98,108,118,121,134,143,149,161,168,175,313,321,332,343,350,355,367,377,380,390,402,408,420,425,431,443,600,602,612,623,630,639,649,655,663,670,680,694,695,705,715,723,730,744,754,760,771,778,788,793,805,810,819,827,836,846,849,865,869,881,891,899,901,915,924,926,934,948,954,967,972,979,988,996,1002,1018,1021,1034,1044,1048,1055,1069,1075,1087,1095,1097,1111,1117,1123,1130,1143,1153,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,27,35,43,54,67,71,77,87,100,109,111,124,130,143,149,160,167,178,313,319,329,340,351,360,363,371,385,387,399,404,414,422,433,445,462,604,614,621,632,642,646,652,661,675,682,688,695,704,712,726,733,742,752,759,765,771,782,789,804,810,816,831,833,846,852,861,866,876,890,896,907,915,921,929,942,946,959,962,969,984,986,998,1004,1016,1020,1031,1038,1047,1057,1068,1077,1082,1091,1098,1106,1113,1122,1133,1147,1154,1164,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,25,32,34,46,54,62,73,81,90,98,105,112,124,135,144,150,156,164,176,317,324,331,335,350,358,367,369,382,390,403,405,416,421,436,445,600,607,612,624,629,641,650,658,662,672,678,688,699,706,714,726,733,738,751,760,771,772,787,792,798,811,822,828,835,842,853,864,869,877,885,897,903,916,921,928,935,943,951,959,973,981,989,994,1005,1011,1019,1034,1037,1052,1059,1067,1075,1081,1093,1099,1105,1119,1128,1137,1144,1152,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,23,30,40,50,52,65,72,76,91,94,107,115,125,133,137,148,162,165,178,315,325,333,342,350,354,367,375,380,392,400,405,413,423,434,445,598,606,611,622,633,636,650,653,664,670,685,689,698,703,718,720,730,746,750,754,769,775,784,795,799,809,816,827,835,842,857,862,869,875,885,892,901,910,923,928,938,947,952,967,974,977,986,999,1009,1017,1023,1033,1039,1046,1058,1062,1071,1079,1094,1100,1106,1114,1129,1138,1144,1152,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,32,41,46,54,66,71,80,93,100,103,111,125,128,142,148,157,164,178,316,323,328,343,350,360,366,377,379,387,402,404,419,425,433,441,468,604,615,625,630,642,648,659,661,675,682,693,702,709,718,721,730,743,750,755,765,775,785,789,801,809,820,823,836,848,849,858,869,878,885,898,901,911,923,926,940,945,956,962,969,977,993,996,1005,1017,1026,1028,1037,1045,1059,1063,1078,1081,1092,1097,1106,1121,1123,1135,1146,1152,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,33,35,49,52,64,74,83,86,98,104,115,123,129,139,146,159,164,176,314,318,334,339,345,353,367,375,385,390,401,405,417,426,434,441,466,603,613,621,627,638,643,656,660,669,682,690,698,709,713,727,730,741,748,762,764,780,783,794,802,810,822,823,836,845,850,859,868,878,890,895,907,913,920,931,939,948,953,964,969,977,991,995,1006,1012,1025,1032,1036,1049,1054,1064,1073,1079,1092,1099,1108,1119,1122,1135,1141,1149,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,20,29,42,43,59,66,69,81,86,99,106,118,126,128,142,150,155,165,172,315,318,328,341,347,352,361,369,383,390,396,410,415,420,431,442,596,604,615,623,628,636,652,657,665,671,682,690,698,707,718,727,734,738,751,757,764,776,780,795,800,810,815,826,835,847,849,864,872,880,884,894,900,908,917,933,937,944,958,960,976,979,991,994,1008,1012,1025,1031,1038,1051,1056,1064,1078,1082,1092,1102,1108,1117,1123,1137,1143,1152,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,26,37,44,54,59,76,81,89,97,110,116,120,134,139,145,155,167,171,317,326,334,336,350,358,367,377,382,389,403,409,418,427,434,441,600,606,615,620,630,642,647,654,666,669,679,690,696,703,717,723,735,739,750,759,763,775,786,791,803,811,822,826,832,844,854,861,867,881,883,895,903,910,920,933,935,942,958,967,971,982,986,996,1007,1011,1025,1028,1037,1048,1061,1065,1070,1084,1089,1100,1109,1116,1125,1138,1142,1153,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,30,40,47,57,65,75,78,89,99,104,114,121,129,142,146,162,165,174,315,319,332,340,350,352,362,370,381,393,397,406,419,421,435,441,598,608,609,618,634,636,645,656,665,671,678,692,698,704,716,728,736,746,749,756,764,777,782,791,799,809,820,823,838,842,852,859,872,877,887,897,899,911,918,928,939,946,957,963,976,978,991,995,1005,1015,1025,1030,1038,1047,1054,1067,1075,1086,1095,1104,1108,1120,1122,1134,1144,1149,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,33,40,42,59,60,74,78,90,94,110,119,125,135,141,149,159,165,175,314,325,333,338,343,359,368,375,386,394,402,408,414,424,435,444,597,608,609,619,626,635,644,657,667,677,683,693,698,711,719,727,730,743,754,755,770,777,783,789,802,811,815,823,832,840,852,862,870,880,885,898,906,913,922,932,934,945,953,960,975,982,993,994,1005,1014,1025,1034,1041,1052,1060,1066,1072,1081,1095,1100,1110,1117,1122,1131,1144,1151,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,25,32,38,42,58,67,74,82,88,101,106,117,124,134,137,153,154,168,174,184,321,329,340,347,358,365,372,384,394,400,409,415,429,435,444,453,601,615,620,627,635,646,660,661,670,680,687,701,706,715,721,731,743,748,759,768,775,781,793,804,806,818,826,833,846,851,861,870,882,887,891,899,914,918,928,937,950,953,965,973,977,990,998,1007,1012,1025,1035,1039,1047,1053,1069,1073,1086,1094,1104,1108,1114,1126,1136,1144,1148,1158,1169,1176	0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,10,25,29,41,46,52,63,68,83,88,95,108,119,126,129,143,152,155,168,176,183,324,328,338,347,356,365,372,384,391,402,411,417,423,435,445,600,603,609,622,633,640,643,653,665,676,683,687,703,710,712,725,730,744,754,763,766,778,782,791,799,806,822,824,837,848,852,861,873,878,883,899,904,915,917,931,935,945,954,959,969,980,991,1002,1009,1013,1025,1033,1041,1050,1059,1069,1070,1082,1095,1102,1107,1120,1122,1134,1146,1153,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0
5,10,22,32,38,46,58,66,69,80,90,97,109,111,127,131,137,152,160,165,177,182,322,329,339,344,360,364,372,382,392,396,406,413,422,429,441,597,601,615,618,633,642,646,660,666,671,683,693,700,704,711,725,732,739,752,759,767,772,785,793,803,812,822,831,835,845,851,865,867,876,888,895,902,912,917,928,942,950,956,966,968,984,986,994,1007,1017,1025,1030,1036,1052,1057,1070,1076,1084,1091,1098,1112,1118,1121,1132,1143,1154,1163,1167	1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,22,33,40,49,53,67,76,77,85,100,105,111,127,134,137,147,157,163,174,187,318,330,336,344,352,362,373,382,390,396,408,419,424,435,443,471,606,609,621,629,635,649,656,660,674,683,690,703,708,715,721,734,743,754,755,768,776,786,792,799,806,817,828,833,844,849,863,869,877,886,892,899,913,922,930,939,950,954,959,968,977,988,1000,1007,1015,1023,1032,1036,1045,1056,1063,1075,1082,1092,1096,1105,1116,1128,1137,1144,1150,1160,1166,1178	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,19,33,37,48,58,62,69,85,89,95,109,113,121,130,143,149,160,166,175,187,318,328,340,344,353,364,370,379,387,399,411,420,429,436,443,596,604,612,624,626,642,649,655,666,672,682,686,696,711,712,726,730,742,751,762,768,775,783,797,800,811,821,827,839,848,856,863,868,880,886,896,904,909,920,927,939,943,951,962,972,984,991,1001,1009,1015,1025,1032,1036,1048,1059,1065,1076,1085,1089,1103,1105,1115,1125,1138,1144,1154,1160,1165,1178	1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,27,42,51,58,61,75,77,91,94,104,112,125,131,140,150,158,162,171,317,322,334,337,348,357,367,373,379,388,403,412,413,429,434,438,468,606,615,625,630,642,644,658,667,670,679,693,700,706,715,727,736,743,749,758,768,776,783,793,802,813,819,830,831,841,856,860,873,879,887,894,900,910,920,927,938,945,957,967,975,980,993,997,1002,1015,1021,1030,1038,1045,1059,1065,1075,1083,1094,1099,1107,1114,1122,1130,1146,1149,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,16,18,30,36,48,55,66,74,79,86,94,103,118,127,136,142,145,157,168,172,190,321,331,343,349,359,364,374,381,392,403,405,419,424,430,440,469,604,613,619,628,640,648,654,667,670,679,692,695,709,712,721,734,739,748,758,770,774,788,790,797,809,819,823,835,847,854,857,871,882,885,899,900,915,924,928,934,946,958,961,975,976,987,998,1002,1013,1020,1031,1041,1046,1061,1068,1071,1084,1088,1101,1108,1113,1130,1137,1142,1148,1157,1167,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
7,15,23,26,40,47,57,64,74,77,90,94,105,113,124,129,140,149,161,162,171,316,324,333,343,347,360,365,370,383,388,401,404,414,428,436,445,600,607,612,624,626,639,643,659,661,674,678,694,699,707,712,725,734,739,754,759,763,779,783,796,801,807,817,827,837,841,852,864,873,882,888,898,903,910,917,929,939,946,954,961,972,981,992,1000,1009,1018,1023,1029,1041,1047,1060,1068,1076,1085,1090,1096,1111,1120,1125,1135,1142,1148,1161,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,33,42,45,52,64,72,77,93,97,105,115,121,134,139,153,159,169,170,190,319,331,342,348,357,365,374,385,391,402,409,417,423,437,440,598,605,609,622,628,641,650,654,661,671,686,694,695,710,713,721,735,741,749,756,765,778,784,789,803,814,820,824,833,843,849,861,868,876,884,899,908,910,924,929,938,944,954,964,972,980,990,999,1002,1011,1023,1032,1041,1049,1060,1066,1073,1079,1095,1103,1107,1113,1127,1132,1145,1153,1164,1168,1178	0,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,20,26,38,45,51,60,68,77,93,94,109,114,120,136,137,152,158,164,172,182,326,328,342,352,359,369,372,381,393,400,410,412,426,435,443,465,604,611,624,627,638,645,655,668,677,683,687,699,707,716,728,735,741,750,758,767,776,784,793,803,810,822,827,840,841,852,860,865,876,884,893,906,910,922,927,935,943,959,960,974,984,985,997,1009,1019,1020,1029,1040,1050,1058,1069,1073,1085,1090,1102,1105,1114,1126,1132,1146,1150,1163,1165,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,11,23,28,37,48,58,68,71,78,91,101,103,118,123,130,141,146,155,166,177,184,320,327,340,347,352,364,372,383,389,397,403,412,427,434,443,468,605,611,618,629,640,648,658,664,670,683,691,697,710,720,726,732,744,747,762,766,777,780,795,800,812,822,825,833,842,853,861,870,879,886,894,902,912,919,929,936,944,954,961,973,984,992,999,1005,1016,1022,1031,1039,1048,1054,1067,1076,1083,1095,1103,1109,1116,1122,1138,1139,1148,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,14,23,32,36,48,57,67,73,82,88,98,109,115,127,135,138,150,154,169,173,188,318,328,341,343,356,364,370,380,391,400,404,417,424,436,438,597,603,614,624,632,636,650,652,660,670,682,690,699,711,715,721,737,740,750,759,765,776,785,790,805,814,817,827,837,841,850,859,872,874,886,893,907,913,920,927,940,943,953,967,970,978,987,994,1005,1012,1026,1035,1044,1047,1056,1068,1078,1086,1092,1103,1112,1120,1124,1135,1145,1149,1157,1167,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,18,34,37,44,58,62,75,77,88,99,104,112,122,130,139,146,156,166,179,190,325,333,341,346,355,364,375,382,390,403,412,420,423,432,442,463,608,617,618,633,638,647,657,661,671,681,694,695,705,719,727,735,739,746,759,766,777,786,794,804,812,816,830,837,841,850,861,866,877,887,891,903,911,923,926,939,947,956,963,973,977,986,995,1002,1018,1026,1035,1036,1050,1058,1066,1075,1085,1092,1097,1109,1116,1122,1130,1145,1150,1164,1170	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,22,28,42,46,55,60,76,77,90,96,103,115,126,132,142,152,160,164,171,182,324,334,335,344,357,367,374,379,392,401,412,413,426,429,443,447,602,615,618,628,635,651,657,664,671,680,693,694,709,714,726,734,745,752,755,765,772,780,794,800,807,822,830,833,848,855,857,867,879,885,899,900,910,924,932,936,947,958,967,971,984,989,998,1004,1016,1022,1030,1038,1048,1061,1064,1078,1080,1090,1097,1108,1121,1122,1130,1140,1155,1162,1167,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
3,10,18,27,40,43,54,59,76,83,93,98,108,111,126,134,139,145,162,163,175,313,323,327,338,350,357,365,373,385,390,403,409,416,420,430,438,599,607,613,618,628,635,644,655,666,676,682,689,694,708,715,727,732,739,752,756,763,772,786,796,798,806,815,824,838,846,855,865,873,879,888,892,901,908,922,927,936,945,953,966,970,978,985,998,1002,1012,1023,1034,1044,1045,1058,1063,1073,1081,1090,1097,1108,1114,1123,1132,1142,1151,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,21,29,41,44,53,64,75,84,91,97,110,118,127,135,143,147,157,167,171,317,325,334,338,349,356,364,375,384,394,400,404,419,425,429,442,600,601,611,621,633,636,651,656,665,671,679,693,700,704,715,723,730,740,746,755,765,778,788,791,805,806,817,826,832,847,855,862,866,880,883,898,900,916,917,925,935,949,957,962,968,976,991,997,1010,1018,1019,1031,1040,1051,1060,1068,1078,1080,1093,1099,1109,1115,1128,1138,1140,1152,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,30,39,44,52,64,73,83,86,96,105,112,119,128,138,145,157,165,175,317,323,328,343,346,355,369,374,382,389,397,410,413,421,435,438,599,609,612,620,633,640,647,659,667,674,680,689,700,709,715,727,730,746,754,760,765,780,787,795,804,809,818,828,838,844,850,863,867,874,888,896,906,914,917,927,942,949,958,963,976,979,992,1000,1003,1014,1024,1029,1043,1050,1059,1069,1077,1079,1090,1098,1107,1118,1125,1132,1144,1154,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,29,34,45,52,67,71,77,88,95,107,117,121,136,139,150,156,169,178,315,321,334,336,351,356,367,370,384,390,399,404,420,424,437,442,465,602,611,619,631,640,651,652,665,669,686,687,698,703,715,722,730,737,748,755,764,778,785,795,802,814,820,826,832,840,852,864,873,879,888,899,900,909,923,929,935,949,951,963,971,982,990,993,1003,1013,1019,1033,1043,1047,1060,1064,1072,1079,1088,1100,1110,1120,1125,1133,1144,1151,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,27,40,46,57,60,71,79,92,99,109,119,122,131,145,146,161,164,171,315,319,334,340,345,352,366,372,384,391,401,405,417,423,433,444,596,603,614,620,634,641,644,655,661,673,683,694,703,708,715,728,735,746,749,754,771,775,783,791,804,808,822,828,833,841,852,864,866,881,887,893,902,914,921,926,935,943,952,960,975,981,990,996,1008,1015,1026,1036,1042,1053,1056,1067,1077,1084,1092,1103,1111,1118,1123,1137,1144,1148,1163,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,33,39,46,59,60,73,78,91,99,109,111,124,134,140,151,161,165,173,317,324,333,340,349,352,364,374,383,392,400,411,413,427,435,446,466,604,615,618,629,639,646,654,666,677,678,691,700,708,719,723,731,741,754,760,765,780,787,790,800,808,818,825,834,842,853,859,872,874,890,895,901,916,918,929,934,946,954,966,970,977,985,1000,1009,1012,1023,1029,1038,1048,1059,1066,1074,1087,1091,1100,1110,1117,1128,1138,1140,1152,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,34,36,47,51,60,70,76,90,96,103,118,124,132,142,151,154,170,175,313,325,333,336,345,358,364,370,380,391,402,405,418,428,431,440,467,604,617,618,631,638,651,657,666,671,685,690,696,705,713,728,733,737,753,762,771,778,781,794,805,813,821,826,833,848,853,864,873,877,888,891,907,910,923,928,939,950,952,960,972,979,987,997,1008,1012,1021,1036,1044,1050,1058,1062,1074,1081,1088,1100,1105,1119,1125,1137,1146,1150,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,31,36,48,58,65,70,81,85,95,107,113,119,134,142,145,157,164,175,315,322,327,337,348,353,365,373,385,387,400,411,418,424,432,438,597,602,611,621,634,638,648,657,667,675,681,693,701,711,714,727,735,744,749,758,769,773,786,791,800,808,820,825,835,844,850,864,872,881,890,891,902,915,918,931,942,943,952,965,971,976,990,994,1008,1013,1022,1032,1039,1047,1056,1065,1073,1083,1090,1101,1105,1119,1124,1135,1142,1152,1158,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,28,41,48,58,66,71,79,85,96,104,114,122,132,137,152,156,169,174,183,323,333,339,347,355,361,377,382,392,399,408,412,429,433,442,597,607,612,621,632,643,645,656,665,670,683,690,698,710,720,721,729,744,754,760,763,772,784,793,798,811,820,827,838,844,855,864,868,880,888,896,902,908,922,931,942,945,956,966,968,977,988,999,1009,1012,1023,1029,1044,1048,1060,1064,1074,1080,1090,1098,1109,1121,1126,1131,1145,1153,1163,1167,1175	1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,16,22,29,34,48,54,59,73,79,91,96,105,115,127,129,139,151,154,170,173,313,318,334,340,347,356,363,375,380,394,400,409,416,427,434,444,465,603,616,623,628,643,649,655,668,674,678,693,695,705,713,725,733,738,754,762,769,777,785,795,803,807,821,830,835,848,854,864,870,879,890,897,902,915,916,932,940,949,953,968,974,976,985,997,1008,1013,1025,1035,1042,1052,1061,1064,1076,1080,1090,1101,1112,1115,1127,1135,1141,1152,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,33,36,47,51,65,68,80,92,96,103,116,126,135,144,147,158,163,176,313,321,329,341,348,355,361,375,384,388,403,412,414,424,436,438,456,604,614,625,634,640,647,658,668,674,681,692,697,704,717,725,736,739,753,758,765,778,784,797,803,808,819,830,834,844,854,861,870,877,884,897,902,915,924,928,941,948,957,963,974,985,990,996,1008,1017,1021,1030,1043,1052,1060,1066,1076,1081,1088,1096,1110,1115,1130,1132,1143,1147,1163,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,22,28,35,42,56,59,70,77,85,94,109,115,122,129,138,152,154,163,179,318,321,328,339,347,356,362,377,381,388,395,407,413,427,436,442,598,608,613,619,629,635,644,656,663,673,686,689,698,710,717,723,736,739,753,761,768,774,782,793,802,810,814,827,831,844,848,864,873,881,888,895,905,911,920,925,940,949,958,965,971,979,985,994,1006,1015,1019,1031,1042,1048,1057,1062,1071,1081,1091,1102,1110,1120,1124,1130,1141,1149,1158,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,26,38,50,58,66,76,78,93,97,105,117,127,133,140,145,158,168,177,317,318,332,338,347,360,362,370,383,390,399,410,414,422,430,442,598,608,615,618,634,642,650,658,668,670,679,693,700,711,715,725,734,739,752,755,765,776,782,792,802,808,820,827,839,848,856,863,869,874,885,897,905,913,924,925,941,948,953,964,972,978,986,1000,1008,1014,1025,1028,1042,1049,1056,1064,1075,1084,1091,1101,1105,1120,1127,1137,1140,1150,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,32,37,45,54,65,68,79,89,98,104,112,126,134,141,148,156,164,173,190,323,335,341,348,355,364,369,379,392,398,405,414,423,435,439,596,606,617,625,632,635,650,652,666,669,678,693,696,708,713,722,731,742,751,757,763,773,786,794,804,806,816,825,832,846,851,864,870,881,886,894,906,908,920,925,936,943,959,967,973,982,991,996,1010,1014,1024,1030,1036,1050,1058,1066,1078,1085,1090,1103,1110,1114,1128,1138,1141,1155,1159,1167,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,17,25,38,44,59,64,69,78,89,98,103,112,119,133,144,148,153,168,176,314,320,327,343,347,355,365,375,386,387,397,411,412,425,432,444,460,604,617,621,632,635,647,657,663,676,678,687,698,707,712,728,731,738,753,757,770,773,781,795,802,810,817,831,834,842,852,858,870,878,885,897,901,908,922,933,941,947,952,964,975,985,991,994,1010,1019,1027,1032,1042,1046,1057,1063,1071,1080,1093,1096,1108,1121,1128,1136,1145,1155,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,17,24,29,35,43,57,62,70,82,86,94,108,115,123,131,143,146,155,166,177,316,323,330,336,345,358,367,375,380,387,398,410,415,425,429,440,455,608,609,625,627,641,648,658,664,671,685,689,699,705,715,723,734,738,753,759,771,772,783,795,801,807,822,823,836,847,849,865,866,878,884,896,903,909,920,931,938,947,956,960,972,977,989,998,1003,1011,1023,1032,1037,1046,1057,1067,1072,1084,1088,1100,1109,1120,1125,1135,1145,1155,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,33,36,42,54,63,69,84,87,98,110,115,123,131,143,149,161,162,174,317,323,335,342,345,357,369,371,384,388,401,404,416,421,432,445,596,602,613,623,631,636,651,659,665,671,679,687,699,710,712,727,733,740,753,758,767,777,780,789,805,810,822,824,837,847,850,861,866,877,882,893,901,908,917,933,936,943,956,965,975,978,992,997,1008,1013,1019,1029,1042,1046,1057,1067,1077,1082,1088,1100,1108,1119,1123,1133,1145,1154,1161,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,20,28,37,50,56,62,76,79,89,99,109,113,120,136,139,147,161,170,176,314,324,329,336,345,360,362,372,379,392,399,404,419,424,437,442,447,608,612,618,627,636,649,659,663,672,680,690,698,707,713,725,736,740,751,760,764,773,780,791,799,812,819,829,839,847,856,861,866,879,884,898,907,913,920,931,940,946,954,961,970,982,989,999,1002,1013,1022,1030,1037,1046,1057,1063,1078,1082,1095,1101,1108,1117,1127,1136,1144,1148,1162,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,26,38,49,57,60,75,81,86,97,105,116,124,129,142,150,155,163,172,314,319,328,342,348,358,362,374,380,391,395,405,415,422,434,439,600,609,612,621,634,635,648,655,666,672,685,686,700,704,718,722,737,740,748,756,765,775,788,790,798,813,818,826,837,846,855,864,871,880,884,893,904,912,922,926,938,948,959,963,976,977,990,995,1004,1014,1027,1029,1041,1052,1056,1069,1071,1080,1093,1099,1112,1121,1125,1135,1145,1151,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,26,34,49,52,67,75,83,93,101,102,116,126,134,139,151,153,168,172,313,321,329,341,351,354,369,377,384,389,402,410,418,428,431,438,600,604,612,623,629,637,643,659,663,676,685,692,703,706,712,724,735,743,748,760,767,773,787,796,804,807,821,827,839,843,849,863,866,877,888,899,903,909,917,930,940,950,954,967,975,977,993,997,1010,1015,1021,1031,1040,1046,1060,1069,1072,1085,1090,1103,1108,1119,1121,1132,1138,1151,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,25,36,44,53,65,69,81,86,102,110,117,121,132,141,149,159,167,172,314,321,327,338,345,355,367,370,386,394,397,403,417,422,434,439,600,604,617,618,627,640,649,653,668,675,683,693,697,704,714,724,736,739,746,756,769,778,786,793,798,806,818,828,835,845,851,859,868,881,882,891,900,915,924,929,941,949,951,966,971,977,988,1001,1009,1016,1021,1033,1037,1045,1060,1065,1071,1083,1094,1096,1105,1118,1122,1130,1141,1154,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,17,33,37,48,52,60,74,77,91,95,109,112,121,128,139,150,155,163,174,316,322,331,341,346,359,363,377,384,392,396,405,419,422,435,439,460,606,615,623,634,641,648,653,665,675,683,689,700,708,718,720,730,742,748,762,765,775,781,790,803,808,820,823,838,846,856,865,872,874,889,899,900,911,919,931,934,943,957,964,975,978,986,1001,1003,1014,1026,1032,1040,1048,1054,1069,1071,1084,1093,1098,1110,1116,1125,1136,1145,1151,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,30,34,42,58,65,74,77,92,100,104,112,122,134,137,149,161,167,175,317,322,328,342,346,354,366,372,383,388,399,408,414,423,437,439,468,602,609,621,634,636,651,653,667,673,682,693,698,708,712,724,729,744,747,759,771,780,782,796,804,809,815,823,836,847,854,858,868,878,887,899,908,912,920,931,940,945,958,964,973,979,990,997,1007,1014,1024,1029,1036,1053,1058,1067,1073,1086,1092,1100,1110,1120,1127,1137,1142,1155,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,25,26,38,43,52,63,69,80,89,96,106,111,127,130,144,149,154,167,171,313,323,333,335,347,357,367,376,386,394,395,410,417,428,430,441,447,607,617,624,632,638,651,654,663,675,679,690,699,705,715,724,730,745,750,760,771,776,784,796,799,807,821,824,834,841,855,859,867,874,886,893,906,909,922,929,942,947,952,967,974,981,987,1001,1010,1014,1026,1033,1037,1053,1054,1068,1071,1080,1090,1097,1111,1114,1127,1131,1146,1155,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,26,36,47,51,65,69,79,88,99,108,113,121,136,142,148,155,166,174,314,318,332,342,346,356,369,377,384,388,396,411,419,424,435,441,597,602,616,622,629,640,649,652,666,669,678,689,699,707,716,725,734,743,750,755,768,772,782,790,800,813,814,828,833,840,855,858,872,878,891,897,903,916,921,930,941,950,956,961,974,984,989,1001,1007,1013,1020,1027,1038,1053,1060,1064,1070,1079,1091,1101,1107,1120,1126,1132,1145,1155,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,21,32,41,46,54,63,75,79,85,98,107,115,124,135,143,148,157,166,173,314,319,331,336,346,356,363,375,385,391,401,408,417,426,434,443,596,606,610,626,628,640,648,653,667,673,679,693,700,704,717,725,730,740,753,761,767,777,785,795,803,811,818,823,836,847,848,861,871,881,890,898,902,911,918,925,939,943,954,962,969,980,989,997,1007,1014,1023,1029,1039,1048,1055,1067,1074,1082,1088,1103,1109,1121,1129,1137,1142,1153,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,27,36,47,51,60,72,78,85,99,104,113,122,133,138,146,154,169,173,188,319,334,340,348,359,361,369,383,389,399,409,412,428,433,439,447,601,617,625,631,642,647,652,661,671,680,693,696,705,717,728,729,744,750,759,763,773,784,793,803,806,815,827,837,848,853,865,870,880,885,897,901,913,923,930,941,947,956,964,968,984,990,995,1007,1018,1025,1032,1039,1046,1061,1067,1073,1079,1094,1098,1110,1121,1125,1134,1145,1152,1158,1166	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
5,15,22,30,38,43,58,63,75,77,91,96,104,117,120,130,138,145,154,169,177,181,319,327,343,348,360,365,377,385,394,396,408,414,423,434,439,600,608,616,624,631,642,651,652,667,673,682,688,695,704,715,721,732,743,751,754,768,772,785,797,804,808,819,831,838,841,851,862,870,878,884,891,905,913,925,926,936,950,956,962,972,981,991,995,1006,1014,1019,1030,1040,1047,1060,1063,1072,1081,1094,1098,1107,1115,1124,1137,1142,1151,1159,1167	1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,24,33,37,49,53,66,74,79,85,100,106,113,120,128,137,149,159,166,178,183,320,333,339,346,359,366,371,378,388,399,406,418,429,431,445,596,604,611,625,630,636,650,655,666,671,680,687,699,705,715,723,731,740,752,759,771,777,780,789,803,807,820,828,834,840,851,863,866,874,885,898,905,912,918,933,940,944,951,966,968,977,993,999,1005,1011,1025,1036,1038,1050,1061,1064,1076,1086,1088,1097,1111,1115,1128,1134,1140,1150,1162,1172,1174	0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,21,33,39,45,59,65,69,78,92,96,110,117,119,131,137,151,157,162,179,188,320,331,341,346,352,363,369,381,391,400,411,412,426,433,445,449,608,614,619,628,636,644,659,660,670,680,689,696,704,714,722,731,744,754,759,771,777,783,791,804,812,818,825,836,842,848,859,869,879,889,897,904,914,917,933,941,945,951,962,973,982,989,998,1002,1011,1026,1034,1039,1048,1061,1070,1071,1081,1089,1104,1112,1115,1125,1134,1139,1155,1164,1167	0,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,16,21,28,42,43,52,65,70,83,89,99,108,117,121,136,141,152,159,165,173,185,320,334,335,351,354,369,370,382,387,400,405,414,420,437,440,596,606,615,620,632,637,644,654,663,676,680,692,698,706,718,725,730,739,749,755,771,774,786,790,800,808,821,826,839,842,852,859,867,874,884,895,900,912,925,926,940,944,954,960,968,984,992,998,1009,1019,1022,1028,1042,1047,1053,1062,1073,1080,1089,1101,1107,1119,1123,1132,1146,1155,1157,1170,1176	1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,13,24,25,38,49,57,59,69,83,87,94,102,115,123,133,143,147,162,168,176,186,323,334,340,350,355,367,376,382,387,397,411,419,424,432,445,457,608,614,624,630,640,650,655,662,673,681,693,699,710,712,728,733,742,751,754,767,773,782,792,804,808,820,823,839,844,852,858,868,879,887,899,904,915,919,929,939,942,958,964,974,976,985,997,1004,1014,1023,1033,1044,1046,1060,1069,1077,1079,1096,1102,1108,1114,1121,1135,1142,1151,1161,1171	0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
3,15,24,27,36,48,52,60,76,80,91,99,102,113,119,132,136,145,154,164,178,183,322,328,336,347,357,366,371,383,389,401,409,415,421,433,443,598,601,617,620,631,642,647,655,665,676,677,687,701,707,718,723,732,740,752,755,770,775,780,791,798,809,818,826,834,843,852,857,869,877,882,894,904,908,918,926,938,946,953,961,968,978,993,1000,1007,1011,1025,1031,1042,1046,1054,1063,1071,1080,1095,1103,1107,1117,1129,1136,1141,1153,1162,1165,1178	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,18,27,41,48,53,65,73,85,89,96,104,112,126,128,142,150,158,166,176,198,321,329,341,345,355,363,372,380,388,396,405,419,428,431,442,461,608,614,623,631,642,649,654,664,673,680,689,695,703,716,723,735,742,748,761,763,776,788,796,800,807,816,830,834,848,849,857,867,879,888,893,902,908,921,925,935,947,956,964,975,980,987,994,1003,1010,1022,1034,1044,1046,1053,1066,1074,1082,1088,1101,1108,1118,1129,1136,1142,1150,1156,1172,1177	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0
0,16,17,33,35,43,58,68,74,85,92,100,104,116,120,131,138,145,155,164,172,314,320,330,343,344,353,369,377,384,393,399,409,417,422,437,440,471,604,616,619,631,643,646,659,666,675,682,691,701,706,717,723,733,741,750,763,764,779,788,795,802,808,815,825,835,842,855,865,870,878,886,893,907,911,919,927,934,945,952,962,972,978,992,995,1004,1015,1024,1030,1039,1052,1056,1067,1072,1082,1089,1102,1111,1116,1125,1134,1140,1151,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,17,25,36,48,51,62,73,83,89,97,107,118,124,133,138,150,158,170,173,184,323,327,338,347,354,367,374,380,391,399,406,415,421,435,442,597,605,613,618,633,642,645,659,667,672,685,687,696,705,714,728,735,738,753,761,770,773,781,795,797,807,814,823,832,843,848,858,872,875,885,899,903,913,921,928,935,947,953,965,976,984,992,999,1006,1011,1022,1031,1036,1052,1057,1068,1075,1080,1088,1096,1105,1121,1124,1132,1145,1152,1163,1164	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,24,31,40,50,57,60,72,77,93,101,107,114,120,134,142,153,157,169,179,199,321,330,342,345,354,364,376,384,389,399,407,412,424,432,438,596,604,613,619,628,639,647,653,662,677,682,688,695,705,717,727,730,742,746,756,767,776,782,794,800,810,817,823,836,843,853,862,866,878,885,893,901,914,923,927,940,949,956,965,972,978,987,999,1004,1014,1020,1033,1039,1048,1058,1063,1076,1085,1092,1097,1110,1115,1125,1130,1142,1148,1160,1169	1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,20,33,40,43,55,61,73,80,89,101,103,117,124,136,143,150,157,164,178,180,320,330,340,350,354,367,375,385,392,400,404,412,428,436,441,465,606,617,624,632,638,648,654,664,676,678,687,700,711,719,725,729,741,749,755,765,772,786,795,804,808,822,828,834,846,850,860,870,880,888,899,905,911,920,930,941,946,953,965,974,982,988,1000,1008,1017,1025,1032,1037,1050,1054,1067,1078,1086,1094,1103,1112,1117,1130,1132,1144,1150,1163,1169	1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,20,32,40,51,58,65,72,85,91,100,108,114,123,136,141,152,157,167,174,193,321,334,340,349,359,369,370,386,388,396,405,418,423,432,442,596,602,616,625,630,635,645,657,663,674,684,692,694,707,714,728,736,745,750,756,770,773,784,793,798,807,820,825,835,840,857,860,868,874,887,892,901,914,924,932,938,946,953,966,972,980,987,998,1008,1015,1021,1036,1039,1046,1056,1069,1077,1080,1087,1103,1110,1121,1128,1133,1141,1152,1164,1166	1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,20,30,35,49,56,59,74,80,89,99,110,111,121,129,141,150,153,164,172,187,325,332,343,344,352,364,370,384,393,403,408,416,422,437,444,459,605,613,618,633,643,647,656,665,669,680,690,703,705,720,726,734,743,751,756,765,776,783,790,803,810,819,825,838,847,856,863,866,880,886,894,900,912,921,932,934,944,954,961,976,981,986,999,1003,1018,1021,1028,1043,1048,1059,1063,1070,1085,1095,1103,1106,1121,1122,1135,1139,1148,1162,1172,1177	1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,31,42,51,57,61,74,84,91,99,109,113,123,129,144,146,158,165,177,183,318,328,343,345,357,362,373,386,391,398,405,414,421,429,444,458,604,610,620,633,636,650,652,666,673,680,689,700,704,718,724,735,740,753,758,767,776,782,791,803,812,817,831,836,841,850,863,873,876,885,892,901,909,917,931,938,943,952,962,974,978,988,998,1002,1014,1023,1029,1044,1047,1057,1063,1076,1080,1094,1104,1110,1115,1123,1136,1141,1148,1157,1172	0,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,21,29,40,42,53,64,71,80,91,102,108,114,120,135,137,147,157,170,171,313,325,327,340,349,358,362,375,380,393,402,410,419,427,431,441,457,606,616,618,627,642,647,653,667,676,683,694,698,705,719,720,733,741,751,761,764,775,780,790,799,813,820,826,837,842,851,862,866,877,888,897,900,912,919,931,938,945,956,964,976,980,990,995,1002,1017,1023,1029,1042,1048,1058,1066,1074,1083,1092,1101,1106,1121,1129,1138,1146,1150,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,31,36,43,58,66,76,82,86,100,109,119,120,132,144,148,161,162,173,317,324,334,337,346,356,369,377,383,387,397,409,413,425,431,438,596,607,612,625,628,641,644,657,665,676,678,691,696,709,717,725,734,739,752,757,764,773,787,789,803,806,815,830,835,847,850,865,866,877,890,893,904,915,923,930,939,950,952,962,971,981,992,996,1008,1011,1020,1032,1042,1052,1054,1070,1077,1080,1094,1099,1111,1114,1128,1133,1139,1150,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,28,41,50,51,66,72,78,90,95,110,114,119,134,138,147,155,165,175,314,322,328,338,349,353,365,370,383,387,395,410,419,426,436,439,597,605,614,618,628,637,649,657,666,674,681,689,696,707,718,723,733,740,753,758,770,772,785,793,801,807,816,831,836,843,856,857,872,877,883,897,905,913,923,933,938,946,952,960,969,977,988,995,1005,1013,1025,1028,1043,1051,1054,1063,1073,1086,1088,1100,1109,1120,1127,1136,1140,1147,1164,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,33,40,49,54,67,72,80,88,99,107,111,126,131,144,151,158,163,173,317,321,332,337,350,353,364,372,386,391,402,407,412,425,433,439,599,602,614,622,633,637,647,652,661,676,685,694,702,706,714,728,731,738,749,756,770,778,784,795,799,810,821,823,838,844,855,861,869,882,884,896,901,914,916,926,942,949,956,966,971,979,992,1000,1005,1015,1021,1035,1037,1050,1054,1065,1075,1081,1090,1103,1106,1117,1128,1135,1147,1148,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,17,26,34,43,58,66,73,85,93,96,103,114,119,129,143,152,160,168,171,316,326,333,342,346,354,364,373,381,391,399,403,414,428,434,440,596,602,610,623,627,640,649,652,668,674,686,692,701,708,712,722,737,738,753,757,770,776,786,789,798,806,816,827,833,847,854,863,866,880,887,897,901,911,920,927,938,947,956,961,968,979,987,999,1007,1017,1020,1031,1041,1046,1053,1065,1074,1086,1089,1101,1113,1116,1128,1134,1143,1155,1162,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,22,27,35,45,56,62,74,77,89,94,110,117,120,129,142,151,154,168,177,316,320,328,341,345,353,368,371,382,393,400,408,420,421,434,438,457,606,609,618,631,635,649,659,665,669,684,690,697,711,713,727,729,742,754,760,769,779,784,791,802,813,816,824,836,842,849,860,870,880,885,894,907,916,920,927,936,946,951,967,971,981,986,1000,1007,1018,1026,1033,1044,1049,1058,1064,1072,1079,1089,1100,1111,1118,1127,1136,1140,1149,1163,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,26,34,44,54,68,73,79,88,99,105,117,124,131,140,152,156,165,173,317,319,332,340,349,356,362,369,384,388,395,406,417,422,435,446,460,603,614,618,631,640,650,654,665,673,678,689,698,708,718,722,735,741,746,758,769,780,784,791,800,807,814,828,833,843,855,862,871,877,884,895,905,910,917,926,941,948,952,959,972,982,987,1000,1009,1010,1027,1035,1036,1046,1059,1062,1078,1087,1089,1104,1111,1118,1122,1138,1142,1155,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,21,30,37,44,54,67,71,78,91,101,104,118,124,132,141,145,158,170,173,315,326,327,342,345,358,368,372,381,389,397,410,414,425,433,440,597,604,615,619,632,637,647,660,662,671,679,688,700,710,718,726,731,743,751,759,765,775,783,789,799,808,822,826,836,847,854,858,872,878,889,897,903,911,917,928,934,948,952,967,970,982,987,996,1008,1016,1026,1029,1040,1048,1054,1063,1076,1083,1089,1102,1108,1121,1126,1132,1143,1150,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,28,36,46,51,65,74,82,90,94,108,113,122,131,143,145,156,164,176,179,325,333,337,349,355,367,376,383,394,401,412,413,422,429,437,448,603,615,626,632,640,648,659,666,670,680,689,697,706,719,724,735,745,750,759,763,775,783,790,801,808,815,826,835,841,857,859,870,882,890,895,901,912,918,928,939,946,957,966,974,979,986,997,1009,1015,1026,1030,1042,1048,1058,1065,1079,1085,1092,1098,1107,1116,1125,1135,1140,1153,1158,1169,1177	0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,14,21,27,37,50,57,62,68,81,85,98,110,114,124,130,139,151,154,167,176,315,323,331,335,351,354,361,370,386,395,399,407,419,425,433,443,599,607,616,625,629,643,646,657,666,675,685,691,696,703,713,722,729,737,747,756,767,773,785,793,801,806,822,825,833,845,856,864,870,879,888,891,900,914,921,931,934,945,951,966,968,978,991,996,1005,1017,1025,1031,1038,1052,1055,1067,1075,1083,1094,1099,1104,1117,1122,1138,1140,1151,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,19,29,35,43,55,63,71,83,92,96,107,119,124,128,137,147,154,165,178,316,325,331,338,345,358,369,373,380,389,397,411,417,421,433,440,599,605,616,620,626,641,652,654,664,672,686,692,698,707,713,721,731,738,750,756,763,773,785,793,805,809,822,826,837,846,851,863,873,881,885,894,903,912,920,927,936,950,951,960,970,982,992,993,1006,1012,1020,1036,1038,1048,1056,1070,1074,1086,1095,1099,1106,1117,1129,1137,1143,1148,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,33,40,47,57,63,70,83,88,97,107,112,127,133,136,151,161,166,176,314,325,333,337,347,354,362,372,379,393,401,410,418,421,430,439,448,603,612,622,630,639,643,659,667,673,686,689,701,703,717,724,729,745,746,761,770,777,784,797,805,811,814,823,839,845,855,861,869,882,888,894,905,910,917,929,941,947,953,965,974,983,988,994,1004,1015,1021,1029,1040,1048,1061,1064,1074,1082,1095,1099,1108,1117,1129,1134,1144,1155,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,33,41,48,58,63,72,78,86,97,107,111,122,130,138,146,154,170,174,315,323,332,339,344,360,364,371,385,393,399,404,413,422,434,444,471,606,614,620,632,638,647,653,660,672,678,691,697,708,714,726,730,738,747,755,766,774,783,794,801,807,816,829,832,848,849,857,870,879,884,899,903,909,919,932,940,950,952,965,974,979,988,996,1004,1015,1023,1035,1042,1052,1059,1064,1077,1081,1094,1099,1107,1121,1125,1130,1144,1155,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,32,40,51,58,60,72,77,91,97,102,114,125,131,139,146,157,163,172,181,325,335,343,350,355,365,369,383,386,401,408,414,425,434,438,600,606,616,621,630,643,644,656,663,671,678,687,696,709,718,728,731,745,746,759,768,772,782,796,803,806,819,826,836,844,855,861,871,879,885,897,903,911,921,930,935,945,958,968,975,982,987,1002,1007,1012,1020,1035,1039,1049,1058,1064,1072,1082,1089,1103,1106,1117,1128,1132,1144,1155,1162,1171,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,20,25,41,47,57,61,74,85,93,98,103,112,127,131,137,145,159,167,172,318,323,329,336,345,357,363,372,385,394,398,407,415,422,431,445,471,607,611,621,632,639,649,653,668,674,679,686,697,707,713,725,730,740,751,756,765,777,784,795,799,810,821,831,834,844,851,864,874,879,885,893,902,910,924,932,936,948,954,962,973,978,986,995,1003,1013,1026,1032,1044,1053,1054,1069,1077,1086,1087,1096,1108,1115,1123,1135,1143,1152,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,31,40,47,53,63,71,81,91,95,107,113,127,131,137,145,160,167,174,314,323,330,335,347,356,369,371,380,390,395,406,412,428,436,440,465,601,617,625,634,638,647,660,664,673,682,686,701,711,720,727,733,743,747,762,766,773,782,795,804,814,821,831,833,840,851,862,871,880,884,897,901,916,920,926,942,944,955,966,970,981,987,1000,1003,1011,1025,1033,1044,1045,1061,1067,1073,1081,1093,1097,1105,1118,1127,1132,1139,1150,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,17,32,35,49,53,65,76,84,93,100,105,117,125,132,139,153,155,164,178,317,320,332,336,346,358,369,374,378,389,396,409,418,428,429,443,596,608,609,622,629,635,650,654,662,673,679,690,697,704,718,720,735,740,749,762,771,772,786,795,797,812,822,827,838,846,851,858,871,877,883,892,900,916,918,931,937,950,955,967,971,978,987,998,1009,1014,1026,1031,1040,1048,1057,1066,1076,1080,1090,1099,1111,1114,1123,1133,1141,1147,1162,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,33,42,44,52,64,71,83,93,101,105,117,122,132,139,148,155,167,170,316,322,334,341,347,358,361,376,383,387,400,406,416,422,436,441,600,605,614,621,627,637,645,657,662,672,685,692,697,704,715,724,729,741,746,758,767,778,785,795,803,806,818,824,831,847,850,864,865,881,888,898,900,913,918,929,942,944,951,967,971,977,990,994,1003,1016,1023,1031,1038,1047,1058,1062,1075,1081,1095,1103,1106,1121,1129,1135,1143,1152,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,20,34,35,43,59,62,72,81,89,100,107,118,120,132,137,153,157,165,174,315,326,328,337,351,358,363,375,385,390,399,411,414,422,433,444,596,600,613,621,627,643,650,659,660,675,685,687,696,707,717,726,736,739,751,759,767,778,786,793,803,808,815,823,833,844,851,858,871,880,889,895,907,915,918,930,934,946,951,967,975,978,993,998,1002,1011,1026,1033,1038,1045,1059,1063,1078,1081,1089,1103,1108,1114,1124,1136,1140,1152,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,26,40,50,53,60,71,78,87,101,107,119,123,136,144,147,157,162,172,316,319,331,343,346,360,361,373,384,390,400,404,417,425,435,439,463,604,616,620,630,636,651,653,664,671,679,692,696,707,716,726,731,739,750,757,764,780,786,788,798,806,815,825,834,844,855,863,867,879,889,891,905,909,920,928,938,945,959,966,970,977,988,1001,1006,1015,1021,1030,1036,1050,1058,1064,1071,1081,1088,1104,1105,1121,1124,1138,1142,1154,1164,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,25,42,46,53,66,74,78,92,97,104,118,121,131,139,148,158,164,172,317,324,333,338,346,358,363,375,382,392,397,406,413,421,437,443,449,609,617,621,634,641,647,653,661,669,682,689,700,711,716,726,732,739,747,755,766,772,788,792,805,810,819,826,837,842,857,858,866,879,882,892,903,908,923,929,937,949,952,967,970,981,989,995,1010,1014,1026,1029,1040,1045,1056,1068,1074,1085,1096,1097,1106,1114,1129,1137,1142,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,27,40,47,52,63,70,80,92,100,104,116,120,130,142,148,156,164,177,317,325,331,342,344,355,363,376,379,390,397,404,417,427,437,444,600,609,616,621,632,635,643,655,665,669,684,686,701,704,717,726,732,740,753,757,764,778,783,791,800,811,817,823,834,845,848,858,872,879,889,895,903,909,917,930,936,943,958,964,975,982,988,999,1003,1016,1024,1027,1041,1050,1056,1064,1072,1085,1088,1097,1105,1119,1127,1137,1143,1147,1163,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,29,36,47,51,67,71,83,89,97,105,117,124,131,142,150,159,163,173,317,318,327,336,350,353,368,372,380,394,397,407,413,424,430,438,461,605,617,625,631,642,647,654,666,669,681,689,700,704,712,726,735,739,754,763,764,779,781,795,799,806,818,826,835,845,852,864,872,878,883,894,906,911,921,926,940,948,953,960,974,981,987,1000,1003,1011,1022,1036,1044,1046,1058,1070,1078,1081,1091,1096,1110,1118,1126,1134,1144,1150,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,23,26,42,43,59,60,70,80,92,98,106,112,127,134,138,148,161,170,173,315,320,328,341,344,356,362,374,380,392,401,409,419,427,433,438,600,602,611,624,630,640,649,657,665,677,679,687,696,710,719,726,730,745,753,761,769,772,783,790,803,809,818,823,836,844,850,858,866,877,889,899,901,913,921,932,937,950,951,966,969,979,990,1001,1008,1012,1021,1033,1040,1051,1057,1067,1071,1081,1091,1103,1107,1119,1126,1133,1144,1147,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,33,36,50,54,63,75,79,88,95,107,115,125,135,139,152,160,164,171,315,323,330,335,349,358,365,374,383,391,400,408,418,425,434,443,459,601,614,624,631,635,646,657,663,673,679,689,697,710,720,725,729,745,748,761,770,780,787,795,797,812,821,826,831,842,849,863,870,877,887,897,902,909,924,926,939,947,955,965,974,980,990,1002,1006,1017,1020,1031,1039,1048,1058,1064,1078,1081,1088,1101,1105,1119,1124,1132,1145,1155,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,27,40,45,53,62,72,82,90,96,102,116,121,133,139,153,159,164,175,314,319,327,340,345,354,362,375,379,387,399,408,417,426,429,444,456,602,615,621,628,637,647,659,669,675,684,688,697,705,712,724,733,739,747,760,768,771,781,794,797,810,818,825,834,841,856,864,870,881,884,895,905,912,917,926,941,949,958,967,976,979,985,994,1007,1018,1023,1030,1038,1051,1058,1065,1074,1083,1094,1103,1107,1114,1130,1138,1144,1152,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,32,41,45,59,63,73,77,87,100,107,115,125,133,139,146,153,164,175,180,325,329,340,344,359,365,375,384,387,402,412,415,426,434,442,600,601,615,624,626,637,650,653,662,677,682,691,697,708,720,722,732,738,751,754,765,773,785,791,797,806,822,823,835,847,854,859,871,878,884,897,905,912,920,931,936,950,957,966,976,977,991,999,1010,1018,1023,1029,1041,1048,1057,1066,1074,1081,1093,1101,1110,1118,1129,1134,1139,1154,1156,1172,1176	1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,22,28,39,46,51,63,68,84,92,96,109,118,123,132,143,151,154,164,176,193,320,330,340,344,355,367,375,386,391,400,404,420,421,435,446,468,602,610,624,630,643,652,659,668,673,684,687,701,706,717,725,730,741,750,755,766,777,781,788,801,812,822,823,839,845,855,863,870,880,887,891,899,909,921,933,941,949,953,964,969,977,988,996,1010,1017,1021,1033,1044,1045,1060,1062,1076,1080,1092,1101,1105,1119,1130,1135,1140,1153,1156,1168	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,24,28,42,47,58,59,71,78,85,97,107,116,122,129,140,147,159,165,174,182,325,327,336,348,359,365,375,385,387,399,404,415,423,431,440,461,605,613,620,632,640,647,656,664,671,682,692,700,705,716,727,735,738,753,754,768,772,787,794,797,808,818,823,837,840,855,861,868,880,886,898,905,909,920,931,934,942,957,960,973,984,989,994,1007,1013,1021,1035,1037,1052,1054,1063,1071,1079,1093,1102,1110,1114,1126,1136,1139,1153,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,21,33,36,49,55,64,75,80,92,98,110,113,124,132,142,151,160,163,175,314,326,334,337,348,354,362,373,378,390,401,409,412,424,430,441,597,601,614,621,633,641,644,658,662,674,681,693,702,707,720,728,730,739,747,756,767,773,786,794,799,813,816,825,834,847,855,860,868,876,889,893,907,912,925,926,935,946,954,967,976,984,990,998,1007,1014,1022,1028,1044,1047,1062,1070,1078,1079,1089,1104,1110,1117,1126,1133,1146,1154,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,22,27,39,48,57,63,71,76,89,95,102,118,120,131,139,148,160,169,177,189,323,329,341,347,355,368,374,378,392,401,403,415,423,431,440,596,607,613,626,629,638,649,657,668,675,684,693,695,708,712,727,732,745,753,760,766,772,787,797,798,808,815,830,838,843,853,857,872,876,886,899,907,910,923,927,937,945,955,964,971,984,989,997,1010,1016,1027,1028,1038,1048,1058,1065,1071,1082,1096,1103,1112,1117,1123,1131,1144,1155,1164,1170	1,0,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0
6,16,18,29,35,44,59,64,76,79,86,94,108,114,119,128,141,147,160,162,177,198,322,330,336,345,352,364,373,384,390,400,408,417,423,433,437,600,602,610,620,631,642,649,657,662,677,679,688,696,709,720,722,734,739,754,755,766,773,781,794,799,807,815,830,834,844,854,863,872,877,887,896,901,915,919,929,940,944,951,962,975,980,991,1000,1003,1015,1019,1030,1043,1050,1056,1066,1072,1084,1096,1099,1108,1117,1125,1131,1143,1149,1157,1171	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,16,18,33,42,46,57,61,71,83,89,96,102,116,119,134,139,149,155,169,174,187,325,329,343,351,355,369,376,385,389,395,407,417,427,430,438,597,602,616,624,629,640,646,654,667,669,680,694,699,707,716,726,729,743,752,761,767,779,784,790,800,813,814,830,834,846,854,861,873,880,886,892,900,915,923,932,935,946,959,962,969,982,990,999,1008,1018,1027,1031,1039,1052,1060,1069,1072,1080,1093,1099,1108,1118,1128,1131,1145,1153,1163,1164,1174	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
7,10,20,31,41,46,57,68,70,80,88,97,104,112,127,129,137,148,159,166,173,182,322,329,340,351,353,364,377,378,390,401,409,413,427,433,437,599,608,617,622,633,637,648,655,662,669,684,689,698,705,714,726,729,743,747,762,763,774,787,793,800,810,815,827,839,845,853,859,870,876,885,894,905,914,922,931,936,947,952,965,973,982,986,996,1005,1011,1025,1028,1039,1045,1060,1064,1070,1080,1088,1101,1113,1117,1130,1138,1147,1155,1159,1166,1178	1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,25,26,40,48,53,66,74,80,93,97,110,113,126,131,137,149,154,166,175,317,321,331,336,345,353,364,372,382,388,401,406,417,421,434,439,456,600,611,623,632,637,651,659,667,669,685,687,699,705,717,724,729,744,746,755,769,772,787,793,803,812,816,829,832,841,854,861,870,879,890,899,907,908,921,932,934,948,953,960,968,978,990,1002,1007,1014,1022,1030,1036,1045,1060,1067,1077,1082,1094,1097,1104,1118,1127,1137,1141,1148,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,25,41,51,54,65,70,79,86,94,102,114,124,131,144,150,155,164,178,179,320,334,337,346,357,364,374,385,391,399,404,418,422,431,440,461,603,615,618,627,638,646,660,662,669,683,689,697,707,713,727,730,740,747,755,766,774,782,795,802,810,814,831,838,845,851,858,869,876,886,893,905,916,920,932,937,949,958,962,973,979,989,1001,1003,1010,1027,1033,1042,1050,1054,1067,1071,1082,1095,1097,1113,1119,1122,1135,1145,1150,1162,1172,1175	0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
1,10,17,30,37,50,58,61,70,82,90,100,108,111,120,135,145,150,161,167,174,198,322,335,342,349,354,361,370,383,388,399,411,413,421,433,445,449,606,613,622,634,640,644,655,661,669,685,689,695,709,717,728,733,738,752,762,763,779,782,797,804,808,817,824,838,846,849,864,866,878,890,893,906,916,924,931,942,944,957,960,968,984,987,998,1005,1013,1024,1035,1043,1046,1056,1069,1078,1086,1091,1103,1111,1115,1130,1131,1140,1154,1161,1169	0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,11,19,29,42,48,53,62,74,78,89,98,110,113,124,135,139,145,157,165,178,183,323,334,341,345,359,361,377,382,394,397,404,415,425,435,444,457,604,612,623,632,638,651,652,661,676,679,689,702,711,718,727,732,739,752,755,764,772,782,790,799,808,820,824,832,840,851,863,867,876,882,891,901,912,921,933,934,949,956,966,976,979,991,993,1009,1013,1024,1032,1040,1048,1054,1069,1075,1084,1095,1096,1108,1118,1129,1131,1141,1150,1156,1172,1174	1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,21,30,41,42,53,61,70,84,86,99,104,118,125,128,141,149,160,166,178,183,323,332,339,351,360,361,375,378,388,400,410,414,425,432,441,468,601,614,624,631,637,651,653,667,670,686,690,696,711,718,723,736,743,753,756,768,777,784,797,803,811,821,828,839,847,856,861,870,874,883,896,906,912,917,929,940,942,951,961,972,985,990,999,1002,1014,1025,1028,1042,1047,1061,1068,1076,1079,1091,1103,1109,1114,1126,1131,1143,1149,1163,1166	0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1
0,15,18,28,35,43,52,63,68,80,85,97,109,112,125,131,142,149,155,167,173,183,324,331,339,352,355,369,372,382,394,402,410,417,429,434,440,598,605,617,624,626,639,650,659,664,675,683,692,701,710,717,724,734,738,746,755,763,778,783,795,800,806,820,825,832,841,849,865,867,879,887,894,900,909,921,925,935,949,959,966,968,984,985,996,1009,1015,1025,1032,1039,1052,1055,1064,1077,1080,1089,1100,1104,1120,1123,1130,1145,1153,1160,1172,1178	0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
6,13,25,28,42,46,52,60,75,81,86,94,103,118,124,136,139,152,153,163,175,186,321,329,338,345,353,364,375,378,389,396,404,418,428,433,439,598,601,613,622,630,639,644,654,663,673,678,692,699,704,714,726,735,741,748,755,764,778,787,792,803,812,817,826,836,846,856,862,871,879,888,891,906,914,924,931,937,947,956,964,974,981,986,997,1009,1015,1019,1028,1042,1051,1055,1065,1076,1086,1092,1099,1106,1114,1124,1131,1141,1148,1164,1171,1175	0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,17,31,37,44,57,61,71,81,86,100,108,117,127,128,144,145,159,169,177,313,323,332,340,346,355,369,377,380,395,401,404,419,424,436,441,599,606,613,620,634,643,646,656,661,677,680,692,695,710,716,726,730,746,751,762,765,773,787,796,800,807,815,826,839,840,851,865,867,880,891,895,902,909,922,931,934,942,951,967,975,980,992,996,1006,1015,1022,1028,1037,1047,1058,1069,1073,1085,1090,1103,1107,1117,1122,1136,1141,1154,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,22,32,42,50,54,65,71,81,89,97,109,112,123,133,137,149,157,167,176,314,318,327,337,349,356,362,371,381,388,403,406,416,421,434,441,596,607,616,626,634,641,649,652,668,675,685,689,696,704,717,723,732,744,748,760,766,772,782,795,802,811,815,830,839,841,850,861,870,877,884,892,900,911,920,932,942,949,957,962,976,980,993,994,1006,1018,1022,1030,1041,1053,1059,1065,1074,1085,1095,1103,1110,1120,1122,1130,1143,1151,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,28,35,45,55,67,69,78,88,102,110,115,120,134,140,149,154,163,174,314,321,330,343,350,358,362,378,384,390,395,410,412,420,434,441,597,604,611,620,631,639,648,658,664,670,677,693,695,710,719,724,735,744,748,755,764,772,786,791,800,811,815,824,834,848,849,861,866,878,888,893,900,914,922,926,941,947,959,962,972,977,991,1000,1006,1016,1019,1029,1044,1048,1055,1064,1072,1087,1092,1103,1112,1120,1128,1135,1144,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,31,35,48,51,65,68,81,92,100,107,116,126,131,141,145,159,164,173,316,322,327,336,345,355,364,374,384,387,399,405,418,421,430,441,599,607,611,622,634,642,644,653,667,674,682,687,702,704,712,725,735,737,749,758,770,773,786,791,804,808,815,828,836,843,856,859,869,880,890,894,905,911,924,933,937,943,953,960,970,979,991,999,1009,1017,1022,1029,1042,1051,1054,1069,1072,1081,1094,1097,1111,1117,1128,1136,1147,1151,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,33,37,46,57,65,69,80,89,97,103,114,121,136,144,149,159,170,172,313,322,331,341,351,356,369,375,383,388,400,405,416,425,436,442,599,602,609,619,626,641,648,655,661,675,685,692,697,706,713,722,732,738,751,762,764,774,784,796,802,806,819,827,835,846,854,857,872,879,883,899,900,913,921,928,939,943,954,963,970,976,987,994,1008,1018,1022,1031,1042,1053,1055,1069,1077,1082,1095,1100,1109,1119,1128,1138,1142,1151,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,26,42,44,53,62,72,82,89,98,106,113,126,128,141,151,162,165,171,314,326,331,336,351,355,368,373,386,393,399,409,417,421,429,440,456,607,617,618,630,635,650,654,665,673,683,689,702,707,720,723,730,740,751,755,770,776,786,793,799,812,817,828,839,841,855,857,868,876,887,893,900,914,917,926,942,950,952,966,971,984,986,994,1007,1011,1024,1036,1040,1047,1061,1063,1078,1079,1095,1104,1110,1120,1129,1132,1143,1155,1164,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,33,35,43,55,60,75,84,88,101,106,114,124,135,143,147,158,165,174,316,326,328,336,348,359,362,377,379,393,399,407,412,423,433,442,459,602,615,625,627,643,644,655,667,674,681,693,698,711,712,727,732,741,746,762,766,776,780,791,801,806,818,830,834,845,850,858,866,878,888,895,908,916,918,926,934,949,954,964,971,984,985,996,1007,1019,1026,1031,1037,1047,1055,1066,1076,1080,1095,1096,1109,1120,1130,1137,1140,1155,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,19,33,35,50,58,65,76,82,89,96,108,111,120,130,144,148,155,169,172,313,324,326,335,347,360,365,376,385,394,395,408,413,427,433,439,600,603,610,626,627,637,647,653,667,674,678,692,702,709,719,720,733,744,749,756,763,780,787,790,800,811,820,830,836,841,849,863,866,878,890,892,903,915,925,928,936,949,958,967,975,978,988,996,1005,1012,1021,1031,1044,1047,1061,1070,1074,1084,1087,1103,1109,1116,1126,1132,1146,1151,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,28,37,49,56,66,72,85,88,100,103,113,125,131,138,152,156,167,175,195,321,328,342,347,360,366,375,385,390,402,408,416,422,435,444,600,603,614,621,626,636,645,652,668,674,680,688,701,705,718,720,735,745,754,758,766,772,783,794,805,809,821,828,836,844,849,859,872,876,888,898,906,910,923,929,938,944,957,965,975,980,987,993,1003,1010,1020,1033,1037,1050,1059,1063,1073,1082,1095,1099,1106,1115,1126,1133,1144,1150,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,22,25,37,49,53,65,74,83,92,94,102,116,120,129,145,147,161,164,177,313,323,333,341,344,356,364,374,379,390,403,408,412,421,433,445,470,603,613,619,628,637,644,653,664,669,677,688,702,704,714,721,731,741,746,761,769,777,781,789,802,812,815,824,836,842,854,858,865,877,888,896,902,909,919,932,936,946,952,964,972,979,990,998,1009,1015,1027,1035,1041,1045,1057,1070,1076,1084,1096,1103,1110,1114,1124,1133,1143,1154,1159,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,17,29,36,50,59,65,68,80,91,95,106,112,126,130,143,145,155,170,173,315,325,328,342,348,358,368,376,381,389,403,405,415,420,432,442,600,606,612,619,628,642,651,659,665,672,686,687,701,711,718,720,731,745,754,758,766,774,787,794,805,808,816,826,837,847,852,864,869,879,886,893,902,908,918,927,940,943,952,960,971,982,986,1000,1006,1011,1019,1029,1041,1052,1059,1063,1073,1086,1090,1098,1112,1119,1125,1137,1147,1148,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,25,26,37,51,58,64,69,78,91,97,104,117,120,135,137,152,157,163,172,317,320,332,341,346,359,363,371,386,393,399,404,420,423,436,441,468,609,614,625,628,638,645,654,661,671,683,690,695,707,719,727,732,744,748,759,765,778,788,795,801,812,819,825,834,841,853,863,865,880,889,897,908,914,923,930,934,946,954,964,975,981,988,1002,1004,1011,1021,1030,1039,1047,1055,1064,1074,1085,1090,1101,1107,1121,1126,1135,1145,1154,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,28,41,44,53,61,68,78,85,95,108,114,127,129,141,152,159,170,173,315,318,330,342,350,355,362,377,385,391,397,406,414,427,431,444,596,608,615,625,628,636,646,659,665,669,684,688,702,711,714,724,735,739,750,754,765,772,783,797,798,811,821,827,836,848,850,858,870,879,886,891,903,916,920,929,941,945,957,966,971,983,993,999,1002,1016,1027,1030,1039,1049,1053,1065,1078,1084,1090,1103,1107,1116,1125,1137,1144,1155,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,23,32,34,45,59,62,76,79,86,96,109,117,121,130,141,150,157,165,176,179,319,329,335,344,356,368,369,379,387,401,412,418,428,436,439,597,601,614,620,632,642,649,654,661,677,685,694,697,706,719,720,736,745,754,755,766,772,781,795,805,809,822,824,837,845,855,862,869,878,883,895,904,915,924,929,935,946,951,961,969,984,991,1001,1008,1016,1022,1036,1041,1047,1057,1066,1072,1080,1094,1096,1110,1116,1125,1131,1143,1152,1159,1168	0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,9,19,31,34,48,56,63,75,81,91,98,103,113,121,134,141,148,160,162,172,314,324,328,336,351,354,365,371,380,394,399,406,416,426,430,446,463,605,612,621,629,636,651,659,666,675,684,694,699,706,715,724,731,745,752,759,766,773,784,795,799,806,818,828,839,842,851,859,869,875,886,893,903,910,922,925,936,945,955,961,973,980,986,1001,1010,1017,1022,1031,1038,1053,1058,1070,1078,1082,1094,1098,1109,1115,1126,1131,1147,1154,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,23,34,38,49,56,60,72,82,91,94,108,112,122,136,141,150,160,162,177,313,325,329,342,343,355,367,376,378,390,398,411,417,424,435,443,599,608,614,624,634,638,645,656,669,672,684,686,699,709,715,722,730,738,752,756,766,773,783,793,803,810,815,827,832,845,854,865,867,879,887,893,905,908,924,926,937,945,955,959,973,980,992,994,1005,1013,1021,1030,1043,1053,1056,1065,1073,1079,1088,1101,1112,1115,1125,1136,1143,1154,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,21,29,38,48,51,62,73,82,92,100,104,112,124,130,141,147,156,165,172,316,320,332,341,347,359,368,373,380,390,398,408,417,429,433,440,597,606,613,618,627,640,645,656,665,672,685,689,700,703,718,727,735,743,747,758,767,779,781,795,801,808,818,831,834,841,852,860,871,878,888,891,906,912,918,926,939,945,951,965,976,979,988,994,1002,1011,1023,1034,1043,1047,1062,1070,1073,1079,1089,1097,1108,1115,1121,1134,1141,1155,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,33,39,50,59,63,73,77,91,101,106,112,121,130,138,150,154,164,176,316,325,330,342,347,359,361,372,385,390,396,409,416,422,434,445,596,607,612,623,627,640,644,653,666,671,678,692,701,705,719,721,734,738,747,761,766,777,786,796,803,807,818,830,834,845,856,863,870,881,890,895,900,911,921,930,937,949,956,963,974,981,992,994,1007,1017,1020,1030,1040,1051,1054,1067,1075,1083,1092,1097,1108,1118,1125,1130,1145,1149,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,26,35,46,55,63,70,82,87,96,103,114,120,128,137,150,159,164,178,313,325,332,340,346,353,363,372,383,395,399,410,412,425,434,443,598,607,612,618,634,640,644,659,665,672,685,692,697,705,714,726,733,744,749,757,765,778,783,793,797,811,814,829,838,845,851,859,873,875,888,893,900,912,924,927,941,944,953,963,975,981,990,1001,1007,1010,1025,1029,1039,1048,1055,1063,1075,1083,1089,1102,1109,1117,1125,1136,1143,1154,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,31,40,50,56,61,75,79,88,99,106,117,120,133,144,146,159,167,173,314,326,333,338,346,353,363,373,381,392,401,409,419,426,436,440,466,608,611,621,627,636,646,653,661,672,683,689,699,709,718,726,731,740,752,761,766,774,780,792,798,809,821,830,834,843,856,862,867,880,885,893,904,912,918,929,937,943,958,961,973,976,985,997,1007,1018,1019,1031,1038,1053,1058,1063,1071,1082,1088,1102,1107,1113,1122,1134,1139,1148,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,17,23,33,34,49,51,60,68,77,85,97,104,115,126,134,142,151,160,165,173,316,321,328,336,349,352,366,377,379,389,399,407,413,423,436,445,468,603,617,622,631,642,644,654,666,670,682,693,699,710,716,726,732,745,746,761,763,778,785,789,797,807,815,823,832,842,855,857,871,875,887,897,902,915,924,932,939,947,957,966,970,983,992,995,1002,1014,1027,1029,1044,1051,1054,1065,1072,1086,1094,1103,1110,1116,1122,1138,1144,1149,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,22,26,39,43,52,62,68,82,92,95,103,112,121,131,145,149,157,164,173,314,325,333,339,347,353,363,371,384,392,400,408,418,422,432,442,447,603,613,621,634,637,651,658,666,673,684,694,697,710,718,726,730,738,749,761,764,773,783,795,797,807,814,823,831,840,853,861,873,875,890,896,906,908,920,928,936,946,958,962,975,981,993,994,1006,1012,1024,1033,1042,1049,1059,1067,1073,1086,1096,1104,1110,1121,1123,1138,1140,1153,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,23,33,38,47,56,61,71,83,93,95,106,111,121,130,143,151,155,165,172,314,326,327,337,345,359,368,373,379,392,396,411,415,426,434,443,598,605,616,621,634,640,649,655,664,672,679,686,696,711,714,727,729,738,753,760,766,779,784,794,800,813,815,828,835,848,852,864,870,879,883,894,903,910,921,927,939,947,954,962,968,980,991,996,1010,1016,1021,1030,1039,1049,1061,1066,1078,1079,1095,1100,1106,1119,1129,1137,1143,1149,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,21,27,41,51,56,62,73,82,85,96,107,117,120,128,142,146,157,170,172,315,322,331,335,348,360,367,373,383,391,397,409,417,424,436,446,466,607,617,622,626,641,646,660,664,670,678,688,698,709,720,723,735,738,753,761,768,777,788,796,805,807,816,828,839,842,849,857,866,881,885,897,907,911,918,930,941,943,958,961,974,984,990,1001,1008,1011,1025,1031,1041,1048,1053,1066,1073,1085,1087,1099,1109,1120,1128,1137,1144,1149,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,27,41,43,54,60,76,77,91,94,110,111,126,134,141,152,160,166,172,313,320,328,337,344,359,361,370,386,389,403,408,413,427,437,445,448,602,614,623,629,641,651,654,663,677,682,688,701,708,720,721,732,737,753,754,767,773,785,796,800,808,815,827,836,846,850,860,871,877,884,897,907,916,920,928,936,942,954,967,972,982,989,993,1007,1013,1021,1036,1037,1046,1059,1070,1073,1079,1091,1101,1113,1121,1122,1135,1140,1154,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,26,42,43,58,63,75,81,86,95,103,119,125,133,138,151,159,169,179,314,321,333,339,346,353,365,373,385,387,396,406,416,425,430,443,598,608,616,622,633,641,645,653,666,670,678,693,701,708,718,725,731,741,754,757,768,773,786,789,804,808,819,823,836,840,854,865,869,880,889,891,905,916,924,926,940,949,954,961,974,980,989,998,1002,1013,1023,1034,1040,1046,1055,1064,1075,1084,1090,1100,1106,1121,1126,1134,1141,1149,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,29,41,47,51,66,76,79,92,99,109,113,121,131,142,148,157,164,177,183,320,328,337,345,358,363,371,386,393,399,406,418,426,432,439,600,607,617,618,634,643,648,655,661,670,679,692,696,706,713,725,734,740,754,755,770,774,787,794,804,808,817,828,833,848,856,863,869,874,885,891,900,912,924,932,940,947,957,959,972,978,990,997,1003,1015,1021,1035,1042,1046,1054,1063,1078,1083,1090,1097,1110,1117,1123,1132,1140,1154,1161,1168,1173	1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,19,33,34,48,58,61,74,77,91,101,108,112,124,130,142,151,161,168,174,186,320,327,340,349,358,368,373,382,388,402,405,414,426,430,439,597,607,610,619,632,638,643,657,662,676,685,692,696,703,714,721,733,738,748,755,766,774,787,789,803,812,816,827,839,844,848,860,867,877,884,897,907,915,919,933,936,948,957,964,970,983,992,998,1002,1018,1025,1035,1036,1045,1058,1064,1077,1081,1090,1103,1105,1120,1129,1138,1145,1147,1160,1169,1178	1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,24,25,40,49,57,67,74,81,86,95,109,117,122,128,138,148,153,162,170,179,325,329,343,350,358,361,372,380,394,398,406,419,420,434,440,462,603,615,625,631,639,650,654,668,670,682,691,696,707,715,727,733,744,749,761,770,777,788,793,798,812,817,829,835,846,856,858,873,875,885,893,900,915,919,926,936,947,957,963,972,977,990,1001,1008,1012,1024,1035,1044,1053,1060,1069,1072,1084,1088,1101,1112,1113,1124,1132,1139,1148,1161,1165	0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,23,26,40,43,58,66,75,84,92,94,110,116,125,135,136,146,161,168,179,186,325,330,342,351,357,369,370,378,394,398,405,418,422,430,440,599,607,612,623,630,638,648,653,661,671,685,692,700,706,716,722,732,738,746,762,767,775,788,790,802,810,818,828,835,848,856,864,871,876,886,891,900,909,919,932,935,949,956,966,975,979,989,994,1008,1016,1020,1029,1044,1047,1056,1068,1077,1083,1093,1098,1113,1117,1126,1134,1147,1151,1157,1167	1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,25,33,40,45,57,63,73,81,89,100,107,116,125,129,144,150,156,168,175,188,320,328,339,344,355,366,376,380,393,400,406,420,428,433,439,596,603,610,626,632,639,649,660,666,675,679,693,700,709,713,728,735,744,746,761,767,772,787,791,800,808,819,827,839,843,853,858,873,876,882,896,902,910,921,925,935,943,953,964,970,981,989,995,1007,1014,1023,1031,1042,1049,1059,1067,1073,1079,1093,1100,1109,1121,1129,1132,1140,1149,1163,1171,1178	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,23,31,38,45,53,65,71,82,87,101,106,114,123,128,139,151,157,163,171,182,324,326,339,348,357,362,369,380,387,400,407,418,423,432,440,599,608,612,623,631,636,647,656,660,676,680,687,703,710,712,722,733,745,753,755,770,779,781,789,798,812,814,828,833,847,853,863,868,875,889,896,901,913,917,930,938,948,954,963,969,983,986,995,1005,1015,1021,1032,1044,1047,1054,1070,1076,1081,1091,1096,1113,1115,1125,1134,1146,1151,1157,1166,1173	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,14,21,25,36,47,56,64,72,78,93,96,107,117,122,128,138,146,160,163,178,179,319,333,337,344,352,365,376,379,386,397,407,416,424,436,441,471,605,617,626,632,635,649,656,665,672,683,687,698,706,717,727,734,741,753,759,771,774,784,792,803,807,814,826,831,841,851,862,869,877,888,893,907,911,918,933,941,950,957,967,975,980,985,994,1006,1014,1025,1034,1039,1050,1056,1062,1075,1085,1093,1098,1105,1114,1123,1130,1143,1152,1156,1167	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,24,28,38,49,54,61,71,78,85,99,107,111,127,135,141,149,157,164,173,189,324,330,338,345,357,366,373,386,389,401,409,418,421,432,444,600,603,615,622,630,640,643,658,669,676,684,687,700,707,712,728,730,745,752,761,764,775,787,795,800,813,816,826,836,847,850,860,866,881,885,892,902,911,924,926,938,943,958,966,971,977,991,996,1010,1019,1021,1029,1036,1051,1062,1070,1071,1081,1088,1100,1112,1116,1126,1138,1141,1153,1163,1164,1174	1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,19,30,37,46,55,62,72,77,87,97,106,113,125,132,144,147,154,163,177,317,318,334,338,349,360,366,377,379,389,403,408,418,421,434,440,468,605,609,625,633,638,649,656,661,674,683,692,697,705,718,728,735,740,746,761,766,774,783,789,802,807,819,828,839,841,855,863,869,875,890,894,900,908,920,929,942,947,953,960,968,978,991,1001,1007,1015,1021,1028,1039,1047,1057,1064,1079,1082,1089,1096,1106,1116,1127,1132,1144,1149,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,28,39,48,55,60,73,82,90,100,104,118,125,133,138,150,154,168,176,181,326,329,340,348,360,367,375,380,389,401,405,413,429,434,445,449,602,615,620,634,641,645,652,665,677,679,693,700,708,712,723,734,743,750,761,768,774,783,794,803,811,821,826,833,840,850,859,871,877,884,897,901,910,917,928,941,945,955,966,975,984,990,995,1008,1011,1024,1028,1043,1051,1057,1065,1078,1079,1091,1100,1106,1116,1124,1135,1140,1152,1158,1167,1178	0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,15,17,30,35,45,54,64,68,83,89,97,107,114,120,133,141,151,157,167,171,183,325,331,339,347,357,364,370,382,390,396,404,412,424,437,440,597,603,610,624,630,641,651,658,665,669,678,692,696,705,717,727,733,744,754,760,768,774,783,789,802,814,818,827,837,843,855,864,870,875,891,896,905,913,925,931,937,946,954,965,968,983,985,999,1005,1011,1026,1032,1040,1048,1061,1069,1075,1085,1088,1098,1105,1116,1130,1132,1139,1155,1158,1166,1175	1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,17,27,38,45,57,63,72,80,91,102,104,118,126,129,144,147,161,168,175,190,324,332,337,350,356,366,377,385,391,399,405,419,421,434,444,600,605,616,621,629,638,644,653,665,675,678,694,698,705,713,725,729,743,752,756,767,772,786,796,803,811,821,831,834,840,851,863,871,880,887,893,903,912,917,930,938,948,955,964,976,978,986,998,1009,1014,1027,1031,1042,1049,1060,1068,1075,1084,1093,1103,1105,1118,1124,1137,1144,1154,1157,1168,1174	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,22,30,34,47,54,60,71,81,92,99,108,112,126,133,137,145,155,165,175,199,321,332,338,348,355,368,371,383,394,402,406,419,425,437,441,600,601,613,625,631,639,648,659,665,671,678,690,697,705,711,722,736,744,751,762,767,774,781,793,797,808,817,828,838,847,851,863,872,881,884,897,903,914,917,928,937,947,954,960,971,979,991,1001,1008,1017,1024,1030,1044,1048,1055,1069,1073,1082,1093,1099,1105,1118,1130,1136,1140,1155,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
6,11,19,28,36,44,57,59,75,79,89,101,104,113,120,130,143,151,159,167,172,188,325,327,340,348,354,367,370,380,389,399,411,415,426,435,444,598,607,611,625,627,642,649,658,668,671,682,687,700,708,717,724,733,741,747,756,770,777,788,789,802,811,816,828,839,845,856,864,873,879,887,898,904,916,921,932,941,944,952,963,976,978,991,994,1005,1014,1021,1036,1037,1053,1059,1065,1074,1080,1091,1097,1110,1113,1122,1133,1144,1155,1157,1172,1173	1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,23,27,38,50,54,67,69,82,85,102,103,113,127,128,143,148,159,163,175,185,318,327,341,347,356,361,376,385,392,396,407,415,421,429,446,599,601,612,624,630,638,647,655,666,669,678,687,701,711,713,727,729,740,754,762,770,779,785,789,803,811,816,830,832,848,855,857,867,874,886,891,905,911,920,929,935,950,951,962,971,977,988,999,1003,1014,1021,1030,1041,1052,1055,1068,1073,1084,1092,1104,1111,1114,1126,1131,1143,1154,1162,1166	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,23,30,35,47,52,65,69,79,92,98,102,118,125,132,138,153,160,166,173,318,320,332,336,352,353,365,373,384,393,400,405,419,421,433,440,467,608,610,620,629,642,646,652,668,677,683,693,696,706,719,721,737,744,752,755,767,780,785,792,801,809,815,827,831,841,852,864,868,880,891,899,900,908,920,933,938,943,954,964,971,978,988,998,1006,1015,1025,1030,1038,1050,1061,1062,1074,1082,1094,1102,1107,1119,1125,1135,1141,1154,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,29,38,45,57,62,74,83,91,99,109,114,126,128,137,149,157,169,179,317,318,332,338,349,360,368,376,383,391,396,409,418,425,432,438,599,602,613,619,628,635,645,660,665,670,678,690,702,710,711,723,730,741,747,760,768,778,783,790,801,807,816,830,840,844,850,863,868,879,883,894,903,908,921,928,940,947,956,961,971,977,987,999,1009,1014,1027,1030,1038,1046,1056,1068,1073,1084,1088,1098,1109,1116,1123,1133,1143,1149,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,17,32,42,47,52,59,69,80,90,99,103,112,121,131,142,151,160,162,174,314,323,328,340,348,357,367,373,379,389,402,404,412,426,435,439,468,604,614,618,634,637,648,652,663,673,678,689,698,711,712,727,729,738,754,759,771,772,781,790,804,814,815,825,838,845,848,863,866,875,887,895,907,916,921,931,941,944,957,966,970,982,993,997,1002,1017,1026,1031,1043,1049,1055,1064,1073,1087,1092,1101,1110,1116,1123,1137,1144,1150,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,26,42,49,54,61,69,81,93,101,106,117,123,131,143,145,156,168,174,315,323,334,336,348,355,369,377,383,392,399,411,417,421,436,443,459,608,610,621,633,643,647,655,661,672,683,692,699,710,720,722,735,738,749,755,764,773,788,796,805,814,819,829,834,846,851,860,865,876,889,892,907,909,920,928,934,944,951,960,973,976,992,998,1010,1014,1023,1034,1036,1051,1059,1062,1077,1082,1094,1097,1104,1121,1129,1138,1139,1152,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,28,35,48,52,60,76,80,90,99,107,115,120,135,139,153,159,164,178,317,322,334,338,349,360,365,371,386,389,397,406,414,429,437,440,598,601,612,621,630,637,649,657,663,674,680,693,700,705,713,725,736,740,746,761,764,778,787,789,798,808,817,823,832,843,855,863,870,874,883,896,903,911,922,932,937,948,956,967,971,981,987,998,1004,1016,1021,1028,1043,1046,1060,1064,1074,1079,1095,1104,1105,1117,1129,1137,1139,1150,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,30,34,47,55,64,73,78,93,102,106,111,126,136,138,152,162,165,175,318,319,333,341,346,355,368,371,386,394,396,409,420,424,436,443,454,605,611,620,627,637,644,652,667,670,682,686,703,704,718,724,735,739,751,759,765,773,788,794,797,806,820,831,832,847,856,859,867,877,885,896,900,910,920,933,937,944,955,961,971,984,989,998,1005,1017,1019,1033,1043,1049,1061,1068,1073,1080,1093,1103,1107,1115,1130,1131,1139,1149,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,18,30,41,49,59,61,69,77,87,100,107,115,126,135,142,151,155,168,176,314,320,332,341,352,353,365,372,378,390,403,408,416,423,432,441,462,608,612,625,634,636,644,657,663,671,684,687,695,706,714,727,737,743,751,759,764,774,780,796,803,813,819,824,832,842,853,857,872,880,888,892,906,916,922,932,941,943,955,966,969,983,985,998,1002,1014,1022,1034,1044,1052,1058,1067,1072,1085,1094,1099,1111,1117,1127,1130,1146,1151,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,31,39,46,56,60,75,85,93,96,105,119,127,133,144,147,154,164,175,315,321,330,340,347,360,363,372,381,387,398,408,419,427,434,438,470,602,610,623,634,637,652,658,663,676,685,691,702,711,714,728,733,745,750,763,768,773,781,791,803,811,821,823,833,843,852,861,868,880,885,893,901,911,921,931,937,949,954,964,973,982,986,997,1006,1017,1027,1033,1041,1045,1054,1064,1076,1084,1096,1097,1109,1116,1127,1133,1144,1153,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,30,41,45,52,68,74,83,91,94,105,117,120,133,141,147,158,164,175,187,321,330,336,348,354,368,372,380,392,396,404,420,423,436,445,599,605,617,618,629,635,643,659,663,672,679,694,701,710,719,722,734,741,747,759,771,778,787,790,805,806,820,827,839,847,849,863,874,875,884,898,906,908,922,927,938,944,958,966,970,981,989,994,1002,1019,1023,1030,1041,1053,1059,1066,1076,1085,1092,1103,1111,1117,1127,1131,1143,1153,1157,1172	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,17,30,34,50,56,64,70,82,92,96,108,114,127,134,137,151,160,166,178,317,323,334,338,346,359,365,372,380,389,397,409,418,422,435,443,600,608,613,622,632,640,651,653,661,676,684,693,701,708,715,726,732,738,746,757,770,776,782,796,803,813,816,828,833,842,854,857,866,880,889,892,901,913,923,933,936,943,954,964,975,977,986,995,1002,1015,1019,1035,1037,1046,1055,1066,1076,1082,1093,1104,1109,1117,1126,1133,1146,1155,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,32,35,45,51,67,73,79,88,95,107,115,124,134,141,153,155,165,173,313,323,328,336,348,357,364,373,381,391,402,410,414,428,433,437,600,602,616,625,632,640,647,659,667,671,680,686,701,706,715,724,736,744,746,755,763,772,785,794,802,808,820,827,835,841,852,857,873,879,890,899,902,914,922,929,941,948,951,961,972,984,985,999,1002,1016,1025,1032,1043,1052,1053,1062,1073,1086,1094,1099,1108,1121,1122,1138,1143,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,26,34,43,56,62,74,83,91,98,102,114,122,132,137,150,161,167,171,316,321,332,341,350,356,365,371,380,394,395,403,414,424,429,443,600,606,613,618,633,638,647,660,663,674,685,693,698,708,720,727,729,737,748,758,763,780,781,797,800,814,820,827,839,848,852,860,869,877,886,895,899,909,924,931,938,949,951,962,970,977,992,1000,1003,1019,1020,1034,1042,1048,1056,1064,1071,1082,1095,1101,1106,1120,1122,1132,1147,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,28,42,43,53,66,74,81,93,95,109,115,121,134,143,145,156,169,175,316,325,332,343,347,359,364,372,378,388,401,407,418,426,435,439,600,609,613,623,632,636,644,656,664,673,677,692,695,704,720,722,730,741,753,756,770,776,784,796,804,808,818,830,834,844,854,858,866,874,885,893,905,914,922,925,935,943,957,967,974,979,986,995,1003,1014,1025,1034,1042,1052,1054,1063,1072,1084,1089,1101,1108,1115,1128,1133,1144,1155,1156,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,23,27,36,48,58,61,69,83,90,94,106,115,119,130,145,149,161,162,170,185,320,334,342,351,355,369,375,384,387,400,405,418,421,436,440,470,601,610,622,629,639,647,657,663,671,680,687,700,703,716,723,731,740,748,761,770,773,780,791,798,808,819,824,836,845,852,863,874,880,884,893,907,912,925,926,940,950,958,967,971,984,992,995,1006,1011,1019,1030,1039,1045,1059,1069,1073,1085,1095,1098,1110,1116,1130,1136,1139,1153,1159,1171,1173	0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,25,38,48,58,59,73,77,90,97,110,119,127,129,144,153,155,164,175,316,319,327,335,348,352,369,372,384,389,402,411,419,428,435,443,471,601,609,622,629,643,648,656,664,671,680,688,695,709,715,727,735,740,749,758,768,775,785,796,802,806,819,829,839,845,853,858,869,875,883,896,901,908,918,926,938,949,952,964,972,983,989,994,1003,1016,1024,1031,1038,1050,1057,1063,1077,1086,1092,1103,1106,1116,1122,1135,1146,1153,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,33,39,42,52,64,69,79,86,96,108,111,120,128,141,150,154,170,174,315,325,329,338,347,354,367,374,379,392,396,410,415,423,430,445,457,601,610,626,632,641,648,654,663,672,684,690,701,710,718,723,737,741,752,760,770,778,781,793,800,806,822,823,838,841,855,860,871,878,883,891,906,913,919,926,938,945,955,960,971,977,991,1000,1008,1013,1020,1030,1043,1046,1056,1067,1077,1083,1088,1101,1107,1121,1130,1134,1143,1148,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,17,18,32,34,47,54,67,76,82,93,102,108,116,127,130,138,151,157,163,172,317,326,331,340,344,357,364,374,384,394,398,409,412,421,434,443,598,609,610,625,629,637,646,659,666,670,679,689,697,706,718,724,736,741,749,763,766,772,780,790,798,811,815,824,838,847,852,861,871,877,886,897,902,914,917,932,935,949,957,967,976,984,986,999,1008,1015,1024,1030,1042,1047,1056,1063,1074,1079,1090,1098,1106,1118,1126,1135,1140,1151,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,18,33,39,48,59,62,75,82,92,97,107,115,127,132,140,152,153,163,173,315,326,331,341,350,354,361,373,384,388,401,404,412,423,436,442,599,605,616,624,626,637,645,656,662,675,678,686,698,711,713,721,737,742,746,757,770,776,784,792,805,810,817,827,835,843,851,858,872,877,888,892,901,913,920,929,939,948,955,966,969,981,991,996,1004,1017,1023,1033,1040,1052,1058,1065,1073,1083,1093,1096,1108,1115,1129,1136,1140,1152,1157,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,27,38,49,52,67,71,84,87,94,107,119,127,131,136,148,161,166,179,313,321,329,342,349,357,365,373,383,390,398,406,416,429,433,444,599,602,616,624,634,641,647,655,660,677,680,688,698,703,718,727,734,744,752,762,768,772,781,790,798,810,822,824,837,841,851,864,870,880,885,897,901,908,920,931,936,948,956,964,976,979,988,999,1007,1018,1022,1031,1040,1050,1053,1069,1077,1084,1091,1098,1107,1120,1126,1134,1146,1150,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,23,26,37,48,54,66,70,76,87,99,106,113,122,132,145,146,155,166,171,318,323,327,335,349,355,365,373,382,391,397,409,418,426,437,442,597,608,612,620,632,643,646,652,660,670,686,693,702,707,713,725,733,738,752,757,764,771,786,796,798,808,814,825,834,848,854,864,870,880,888,894,907,909,919,929,935,949,958,964,970,977,992,997,1007,1016,1019,1033,1042,1048,1053,1069,1076,1079,1093,1102,1113,1115,1128,1135,1144,1152,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,33,35,49,52,60,68,79,88,96,104,112,124,130,139,146,156,165,175,315,325,332,339,346,358,365,376,381,392,398,407,413,426,432,442,462,604,614,624,632,641,650,653,666,675,685,690,698,708,712,726,732,745,754,762,771,777,781,793,803,812,815,828,837,844,856,858,867,882,887,895,901,909,920,933,942,946,955,960,974,977,985,999,1005,1017,1023,1035,1042,1046,1062,1069,1072,1081,1095,1099,1110,1120,1123,1138,1143,1154,1157,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,18,33,37,43,59,65,73,83,89,100,106,111,122,132,144,150,160,163,176,314,323,327,338,350,360,361,374,380,393,402,410,413,428,433,440,598,601,616,618,635,640,646,659,668,670,681,692,703,705,719,720,730,744,749,759,766,775,786,791,802,810,822,830,834,846,852,864,872,879,882,893,905,916,920,928,940,950,959,963,971,978,989,995,1007,1012,1022,1033,1040,1048,1059,1068,1075,1086,1088,1097,1110,1113,1126,1136,1147,1155,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,28,39,44,51,61,75,80,85,100,108,111,121,133,143,150,158,170,172,317,325,332,336,344,358,362,375,381,388,403,405,417,427,431,439,467,604,617,620,628,636,643,659,664,669,684,687,695,711,714,721,735,744,748,756,764,773,784,791,797,807,821,827,836,848,853,864,866,877,890,895,903,913,924,932,938,945,958,964,976,981,986,1000,1006,1015,1023,1029,1039,1053,1058,1063,1071,1080,1094,1100,1110,1120,1123,1138,1146,1150,1160,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,22,25,37,44,54,64,73,82,87,96,102,113,124,133,138,150,154,167,177,316,320,327,340,346,359,362,369,378,391,395,408,417,422,434,438,461,608,617,622,633,640,650,659,666,676,683,690,695,703,717,725,731,741,749,755,765,780,783,788,797,810,820,831,837,844,849,858,866,876,884,897,901,911,924,928,937,942,959,962,970,977,991,999,1006,1017,1021,1035,1036,1047,1057,1064,1077,1081,1090,1098,1104,1115,1130,1132,1146,1151,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,29,41,50,59,63,70,77,86,98,106,113,122,129,144,146,159,169,171,315,326,332,339,347,356,363,370,381,390,398,406,413,425,432,444,600,601,616,618,630,640,646,652,660,676,681,688,702,711,713,724,730,739,746,760,770,774,781,795,797,812,817,829,837,842,856,865,871,879,886,894,902,915,924,927,937,945,954,965,975,982,989,996,1008,1011,1027,1032,1040,1049,1054,1067,1072,1083,1095,1098,1107,1119,1124,1134,1147,1151,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,30,36,48,52,64,72,85,89,101,109,111,120,134,139,151,158,163,176,317,322,335,337,348,352,367,370,386,387,401,404,419,427,432,442,463,601,616,621,627,636,650,657,664,673,679,687,702,709,714,726,736,745,747,757,769,773,783,790,801,808,814,824,831,841,856,863,872,875,886,897,905,916,919,932,941,942,957,963,975,978,993,995,1005,1011,1025,1031,1039,1048,1059,1068,1075,1084,1094,1097,1105,1118,1127,1132,1140,1154,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,25,27,34,48,51,60,76,80,92,101,108,116,120,131,141,147,161,164,179,186,323,334,343,347,359,362,370,379,387,399,408,415,427,434,438,599,606,614,623,633,638,646,657,667,674,679,691,700,703,714,728,737,742,748,755,764,776,782,796,803,810,816,827,834,841,851,863,870,881,887,894,903,916,923,933,937,943,952,963,968,982,992,997,1010,1014,1022,1028,1039,1051,1054,1069,1074,1079,1092,1100,1112,1114,1123,1131,1144,1153,1156,1169,1178	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,18,29,42,48,53,63,70,78,88,96,109,119,123,136,139,150,160,167,172,185,326,328,339,350,354,363,371,381,391,399,408,413,422,433,444,468,609,616,620,626,640,647,660,666,671,679,689,703,709,720,727,735,744,751,757,766,776,783,793,800,811,815,828,832,844,851,863,869,881,883,892,903,915,917,931,937,947,957,965,972,980,989,994,1010,1017,1023,1029,1041,1050,1061,1068,1074,1081,1096,1104,1108,1118,1124,1137,1145,1152,1159,1170,1173	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,20,31,36,45,52,67,71,77,89,94,107,111,120,131,141,150,158,165,172,180,324,326,337,346,353,365,374,386,392,397,412,414,421,429,442,455,602,615,619,628,635,643,653,668,675,678,690,698,710,716,728,733,744,752,756,765,780,783,793,801,813,817,828,837,843,851,864,868,882,889,893,904,909,924,930,940,944,958,960,969,984,993,995,1002,1016,1023,1032,1040,1048,1058,1069,1078,1087,1090,1100,1110,1115,1123,1134,1142,1155,1162,1171,1174	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,21,32,39,45,55,68,70,81,92,100,107,113,122,128,141,146,154,165,174,317,322,327,343,352,356,369,373,379,389,396,407,416,423,429,442,597,606,613,626,627,635,650,652,668,675,684,692,702,707,714,725,735,740,753,757,770,777,783,792,798,808,821,831,832,844,849,863,866,874,888,891,905,914,925,929,937,945,952,959,975,981,991,1000,1006,1012,1026,1033,1044,1050,1060,1069,1072,1084,1089,1104,1106,1121,1123,1137,1143,1153,1160,1169,1178	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,19,25,40,46,51,64,68,78,93,101,105,111,124,132,139,146,154,163,175,182,323,333,339,344,353,363,370,385,393,401,405,413,427,431,445,465,607,610,620,632,643,644,653,668,671,682,692,700,709,717,724,735,745,746,762,770,776,780,791,800,805,820,829,837,843,849,861,869,881,888,892,907,908,923,926,934,943,951,960,974,984,986,1000,1008,1010,1023,1030,1042,1051,1056,1066,1074,1080,1095,1098,1110,1114,1122,1135,1146,1152,1157,1169	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,9,22,32,35,44,52,62,76,85,90,98,109,111,120,133,140,145,156,166,177,183,322,327,342,346,355,365,371,383,394,397,405,414,428,434,439,597,604,617,623,633,635,647,657,667,674,683,687,698,710,718,728,735,745,746,755,765,773,781,788,803,806,817,830,838,847,852,861,866,874,883,892,904,915,924,929,939,943,955,962,973,977,990,995,1004,1014,1022,1029,1043,1046,1055,1069,1071,1085,1095,1102,1112,1121,1127,1131,1145,1152,1159,1171	1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,19,27,36,48,51,67,73,78,91,97,103,111,124,136,137,147,160,169,176,180,322,330,335,347,353,365,376,379,390,397,411,414,425,436,445,600,607,617,620,630,642,651,654,667,675,684,694,695,707,716,725,733,742,748,757,768,774,786,792,804,808,819,826,834,841,855,865,873,874,883,894,905,916,920,929,934,946,954,961,974,985,987,996,1003,1018,1021,1033,1044,1046,1060,1067,1074,1085,1091,1097,1107,1120,1128,1138,1141,1155,1162,1165,1177	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,15,25,28,34,42,53,63,75,82,86,100,109,116,127,134,138,150,159,169,173,181,321,327,342,347,357,364,373,384,393,397,406,413,428,436,441,599,601,615,621,628,641,647,659,661,671,684,689,695,706,712,725,731,741,750,758,764,774,783,793,804,808,816,825,835,841,852,858,871,874,884,892,904,916,918,932,938,943,957,966,969,983,985,998,1005,1016,1022,1031,1042,1045,1061,1069,1072,1079,1091,1101,1110,1114,1128,1131,1139,1149,1162,1165	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,22,26,38,45,59,61,70,82,87,100,105,114,124,136,138,153,157,163,178,315,320,326,341,347,353,361,370,385,395,401,406,419,422,430,442,600,603,609,619,634,641,651,658,664,676,678,694,695,705,712,725,731,743,747,761,771,772,784,795,802,807,819,828,839,842,856,857,866,882,885,891,903,911,917,925,934,948,952,966,974,984,993,997,1007,1014,1027,1034,1040,1051,1054,1062,1073,1086,1089,1097,1112,1119,1126,1137,1144,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,30,38,45,56,66,71,82,89,98,107,113,127,135,137,148,157,166,172,184,325,333,341,351,357,366,372,380,387,401,412,413,424,432,438,598,605,610,624,631,643,649,654,662,676,684,687,702,710,712,722,732,738,751,754,771,778,780,795,797,806,815,826,839,846,851,860,869,881,890,894,903,916,920,928,939,947,954,967,971,977,991,994,1002,1011,1023,1035,1038,1049,1054,1069,1076,1086,1090,1102,1109,1118,1125,1136,1140,1154,1160,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,18,28,38,46,54,59,72,76,91,96,102,119,122,128,139,148,159,166,174,187,321,329,335,345,358,363,376,378,389,398,411,412,428,432,439,600,601,615,619,629,640,644,660,664,672,685,687,695,709,712,725,730,743,752,762,768,778,787,792,798,812,820,823,834,843,849,860,866,874,888,894,903,913,923,925,939,942,958,965,970,977,988,997,1009,1018,1025,1034,1041,1053,1055,1063,1074,1081,1094,1098,1109,1118,1122,1137,1142,1154,1158,1172,1178	1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,19,30,34,48,53,64,74,83,92,98,103,114,128,129,138,151,161,168,176,181,323,332,340,351,357,367,374,379,392,398,406,419,422,432,442,597,601,617,625,634,640,644,660,663,672,685,688,702,709,712,728,733,743,754,760,769,777,780,792,802,811,817,827,837,843,850,864,867,876,887,896,900,915,917,926,940,947,954,965,976,984,991,997,1002,1017,1025,1036,1037,1047,1059,1069,1070,1085,1089,1099,1108,1117,1123,1132,1147,1149,1159,1167,1175	1,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
6,15,24,27,38,44,58,63,76,85,92,100,106,116,127,131,138,152,157,170,175,180,323,329,338,347,357,363,370,380,388,397,408,412,422,436,443,600,601,611,625,633,635,644,660,661,677,683,693,701,703,719,725,736,745,749,755,764,771,786,791,802,814,815,828,835,841,856,860,867,878,884,894,900,908,920,932,934,944,954,960,974,977,993,995,1009,1016,1027,1035,1038,1045,1059,1062,1071,1082,1091,1101,1109,1118,1124,1132,1141,1154,1158,1171,1173	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,18,29,40,48,52,61,71,83,90,96,109,113,126,129,139,151,158,163,179,183,322,329,342,351,354,364,372,381,393,400,411,413,421,436,443,599,607,610,619,626,636,649,658,661,674,678,688,702,704,712,725,732,740,753,755,771,779,786,790,801,808,814,830,831,843,849,859,872,877,889,898,906,910,918,931,938,944,957,962,976,977,988,999,1006,1011,1024,1031,1040,1046,1054,1062,1076,1086,1088,1104,1107,1120,1128,1136,1147,1155,1158,1168,1175	0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,17,30,41,50,57,67,70,79,85,99,107,118,124,135,144,148,157,169,177,195,320,326,335,344,357,367,373,383,393,397,411,420,429,431,440,598,608,616,624,633,636,643,653,667,673,682,694,700,707,713,720,729,745,747,761,768,779,781,795,801,811,817,828,831,845,849,859,871,882,888,897,905,916,925,931,936,950,955,961,969,982,989,998,1009,1018,1026,1032,1039,1052,1057,1067,1078,1084,1093,1096,1108,1114,1128,1136,1146,1150,1162,1169,1175	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
5,13,18,31,39,42,56,65,75,79,90,99,103,112,125,129,138,152,153,165,175,317,325,328,340,345,360,364,377,383,395,399,410,417,420,434,443,467,601,613,623,632,642,650,657,666,673,686,689,702,709,714,721,734,741,751,760,766,777,782,794,801,809,818,828,833,842,850,862,872,876,889,891,904,915,921,926,940,949,957,965,970,977,990,999,1003,1013,1019,1035,1044,1048,1061,1069,1075,1079,1090,1101,1106,1115,1124,1131,1140,1154,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,31,36,50,52,61,76,78,90,101,102,115,121,133,136,145,161,162,172,316,325,330,336,349,359,364,375,380,388,398,409,412,421,429,439,470,602,613,621,626,637,651,658,667,676,683,688,695,707,712,726,735,743,750,761,763,775,781,795,805,806,818,828,836,848,854,861,868,875,889,895,900,913,922,927,935,946,955,961,974,981,992,994,1006,1011,1021,1030,1040,1048,1061,1063,1078,1084,1089,1101,1106,1120,1127,1138,1143,1154,1157,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,23,29,36,48,58,61,74,78,88,94,109,111,124,134,142,152,154,163,177,314,322,332,338,346,355,368,374,379,387,395,404,420,424,434,438,469,605,617,618,632,638,648,658,666,670,679,694,700,708,713,723,733,740,754,761,767,777,788,789,800,812,818,828,834,842,854,857,866,882,885,899,902,916,924,925,937,946,958,960,970,985,991,997,1005,1014,1022,1033,1040,1046,1056,1062,1078,1083,1088,1104,1108,1121,1125,1135,1143,1151,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,29,36,47,56,59,76,80,92,97,110,117,124,133,142,152,160,166,173,314,324,328,337,350,357,361,373,382,391,400,406,414,425,429,440,457,602,613,618,630,640,649,656,667,672,681,693,695,709,719,728,733,741,747,755,768,774,781,790,799,807,821,831,836,845,850,861,870,878,888,895,906,912,919,931,937,945,958,965,975,976,986,995,1008,1013,1025,1030,1042,1050,1058,1062,1071,1087,1095,1101,1111,1116,1123,1136,1144,1153,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,27,38,45,58,60,74,78,90,94,107,114,122,131,144,150,155,167,178,315,324,331,340,344,356,369,375,380,387,396,410,413,428,435,442,600,608,610,623,627,636,649,659,664,677,678,693,698,708,713,721,731,743,750,757,770,772,783,792,803,805,822,824,832,843,855,861,871,882,890,897,906,913,920,933,936,945,951,961,976,979,993,1000,1008,1017,1026,1029,1044,1049,1056,1064,1072,1083,1091,1104,1107,1120,1129,1138,1146,1155,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,27,38,45,56,65,69,85,89,95,104,111,124,130,137,145,159,166,177,314,318,330,338,344,359,363,369,385,390,398,403,417,428,433,439,596,602,617,620,633,641,643,659,667,674,681,689,703,704,713,728,733,742,750,758,766,774,783,794,804,808,822,829,834,847,850,861,871,876,884,893,901,912,922,927,939,943,955,966,973,984,986,1001,1008,1012,1022,1033,1041,1049,1059,1062,1077,1079,1090,1096,1107,1113,1123,1136,1143,1153,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,33,35,44,54,66,74,83,92,94,108,119,122,130,137,147,161,162,170,314,320,335,339,344,353,369,377,385,392,403,410,419,422,432,439,460,602,617,622,634,640,644,655,663,670,686,692,702,710,718,725,729,742,751,760,768,778,785,789,799,806,816,830,836,845,849,858,865,881,891,892,907,909,920,927,938,949,953,963,971,981,985,1000,1006,1012,1021,1035,1043,1048,1056,1064,1079,1083,1090,1103,1111,1114,1126,1134,1145,1154,1160,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,29,39,48,56,64,70,77,93,101,108,112,119,134,143,149,153,163,177,315,321,333,339,347,354,369,375,384,390,399,407,416,426,432,443,597,608,614,625,634,641,652,660,665,670,683,692,702,703,714,724,730,742,746,762,769,775,785,791,801,814,819,830,831,844,849,865,867,881,889,896,907,916,922,926,936,944,959,966,972,980,989,1001,1003,1012,1026,1030,1042,1048,1053,1068,1073,1087,1092,1099,1108,1115,1125,1136,1140,1154,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,24,28,40,50,58,66,68,82,89,101,110,112,121,133,145,151,160,165,175,182,326,331,338,344,358,364,370,382,390,401,405,414,424,432,440,596,605,615,625,627,637,649,653,662,674,682,687,703,704,715,725,729,738,751,755,768,774,783,794,801,808,816,830,836,843,856,857,868,877,885,892,905,912,917,933,938,949,951,963,973,982,991,999,1008,1017,1025,1029,1044,1053,1058,1066,1072,1082,1095,1104,1109,1118,1125,1132,1140,1150,1163,1172,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,23,29,39,48,57,66,73,81,86,102,109,113,121,136,144,147,158,166,176,316,320,331,335,344,353,362,372,380,387,399,408,414,421,433,441,599,605,613,619,633,636,650,656,666,674,681,691,698,706,712,725,736,746,747,761,770,775,782,796,802,809,816,825,838,840,848,861,866,882,883,892,907,914,919,928,936,946,953,962,974,980,985,1002,1009,1014,1026,1029,1044,1050,1055,1065,1075,1081,1090,1098,1113,1118,1130,1138,1145,1153,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,17,28,36,49,58,64,74,85,86,95,102,114,127,135,138,148,153,168,176,313,326,333,341,344,357,361,373,385,391,400,407,415,425,436,439,596,604,616,619,631,638,645,658,665,670,685,689,698,707,714,725,736,745,752,761,765,773,783,797,803,809,814,825,837,844,852,859,868,880,886,893,907,916,922,926,937,948,953,962,972,978,993,997,1009,1015,1025,1028,1037,1051,1055,1064,1073,1079,1090,1098,1105,1113,1122,1137,1141,1155,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,19,29,41,47,59,66,75,79,93,102,106,116,122,128,137,146,158,168,176,314,319,328,341,347,353,365,378,382,394,397,410,416,429,431,442,597,605,615,623,631,641,647,652,662,676,683,686,697,708,720,727,735,743,750,759,771,778,781,790,798,814,822,826,837,843,852,863,867,881,883,895,902,909,924,927,937,950,952,961,968,982,986,996,1004,1011,1022,1030,1037,1048,1060,1069,1078,1086,1095,1098,1106,1121,1122,1133,1140,1147,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,31,42,50,53,60,72,84,92,98,102,115,127,130,143,147,160,165,175,315,324,330,337,345,358,366,372,383,390,402,410,419,427,430,439,596,602,611,623,628,638,651,659,667,674,685,691,695,705,718,722,734,743,750,758,764,774,788,789,799,812,815,827,837,845,853,862,871,875,887,898,903,910,918,926,937,947,957,967,972,983,992,994,1006,1013,1021,1033,1039,1049,1060,1063,1078,1084,1090,1104,1108,1114,1125,1136,1142,1150,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,28,41,46,59,61,73,78,90,97,103,119,123,129,138,150,159,170,179,191,318,333,337,351,360,365,378,379,386,400,411,414,420,437,445,468,607,614,620,632,637,646,656,663,669,685,688,696,704,715,721,729,741,753,755,769,772,784,790,801,812,821,830,836,840,852,862,870,880,888,895,904,911,922,932,937,949,957,964,971,979,987,1000,1007,1011,1025,1031,1043,1046,1060,1064,1074,1083,1095,1104,1111,1116,1130,1134,1143,1149,1163,1169	0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
8,11,25,32,39,44,53,66,76,84,90,94,109,114,122,130,137,152,156,167,178,314,318,327,342,352,354,368,372,385,392,401,406,416,426,434,442,458,602,612,618,627,639,650,655,663,676,679,693,699,703,713,724,729,740,754,756,771,775,785,791,802,807,816,828,837,840,852,864,870,875,885,898,900,910,924,925,939,946,955,962,968,983,993,997,1004,1018,1021,1030,1038,1046,1055,1064,1075,1087,1089,1096,1111,1118,1126,1134,1140,1155,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,20,29,34,43,53,61,75,80,89,94,103,114,125,128,141,152,157,170,179,317,322,333,335,349,354,365,371,384,394,402,405,414,423,432,438,597,606,611,624,632,637,647,654,669,673,681,692,701,705,713,726,729,740,746,755,767,774,786,796,805,809,822,828,836,842,851,859,873,882,886,896,901,912,920,929,941,948,958,960,976,985,992,1001,1006,1016,1024,1031,1039,1050,1059,1065,1072,1081,1091,1104,1111,1115,1123,1135,1146,1154,1160,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,26,35,42,54,60,69,84,93,97,102,115,126,132,143,150,158,165,176,317,324,333,340,345,356,362,375,378,386,398,404,412,426,430,444,598,603,615,618,632,638,651,653,664,675,680,693,696,710,716,726,734,740,749,755,770,772,786,792,804,812,821,827,833,848,856,860,871,876,885,895,904,914,921,930,936,945,956,965,976,978,989,998,1003,1017,1025,1032,1043,1051,1057,1064,1073,1081,1088,1096,1107,1118,1128,1132,1145,1147,1163,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,34,40,45,54,64,74,78,87,100,103,114,124,129,137,146,155,166,175,314,322,330,339,348,360,366,369,386,392,396,408,413,426,434,437,600,604,614,626,634,637,648,655,665,673,678,691,699,704,718,722,732,739,749,754,769,772,787,790,803,811,815,831,836,841,851,861,872,877,889,897,905,908,919,933,940,943,955,964,974,982,992,996,1002,1011,1027,1029,1043,1052,1055,1066,1071,1081,1088,1097,1110,1114,1125,1134,1147,1154,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,25,33,34,48,53,63,73,82,92,94,106,112,121,128,141,149,156,168,172,314,323,333,335,344,360,368,374,383,393,401,405,417,428,437,443,597,604,612,621,628,637,647,652,662,674,677,693,701,708,718,727,729,737,753,756,765,779,781,793,803,807,822,828,835,846,856,861,873,875,884,897,900,911,922,931,934,949,956,963,976,981,987,998,1008,1013,1023,1034,1044,1052,1060,1064,1076,1086,1092,1100,1106,1117,1123,1133,1145,1147,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,22,25,35,50,57,63,72,79,90,101,106,113,124,136,142,153,154,163,174,316,323,333,339,345,360,368,370,386,394,403,405,414,426,436,440,597,606,610,623,629,636,651,653,667,673,683,691,703,709,719,725,733,740,748,755,769,773,783,791,797,807,821,825,833,846,854,865,867,875,888,892,906,912,918,931,935,950,954,963,972,983,991,998,1007,1017,1026,1032,1037,1045,1059,1062,1072,1083,1091,1096,1111,1114,1126,1132,1142,1150,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,21,33,38,48,57,64,74,81,90,100,103,116,120,132,141,150,155,163,179,314,320,329,342,351,354,367,375,384,391,403,410,416,425,436,438,600,606,611,618,630,641,650,655,661,670,681,692,698,704,714,721,732,740,754,755,769,777,788,796,801,813,815,829,839,846,856,858,867,876,887,892,906,908,923,932,938,944,956,964,975,981,991,1000,1008,1012,1024,1029,1044,1052,1054,1065,1078,1085,1092,1099,1111,1114,1123,1133,1139,1155,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,33,39,42,55,59,74,83,88,100,107,116,124,130,141,153,156,167,178,313,326,333,342,345,358,365,374,379,390,396,405,412,425,437,443,598,608,613,624,627,639,649,659,660,674,681,689,699,710,716,728,732,743,750,762,764,778,786,792,799,807,822,831,834,845,850,860,867,875,886,899,903,912,921,930,935,949,958,963,968,977,985,999,1003,1012,1026,1029,1037,1052,1060,1063,1074,1082,1095,1101,1105,1121,1124,1136,1144,1149,1157,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,31,36,43,58,62,68,80,92,94,108,111,125,131,142,146,154,168,173,315,320,333,342,345,360,368,373,381,390,396,411,416,427,430,444,597,606,610,623,631,637,644,656,660,676,683,691,695,710,717,728,731,741,746,760,765,773,785,794,799,813,819,824,839,840,851,858,870,876,884,898,906,913,920,925,941,948,954,962,974,984,990,994,1010,1011,1027,1032,1036,1046,1060,1064,1072,1079,1091,1103,1107,1116,1127,1134,1143,1150,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,24,28,42,45,55,68,71,80,88,100,107,113,124,134,142,148,156,166,171,313,319,330,341,347,359,369,376,383,392,396,404,420,427,431,441,598,607,613,623,634,635,648,654,662,669,680,689,697,707,718,725,736,739,753,756,768,779,787,792,802,807,819,830,837,845,852,857,869,879,885,898,907,911,924,926,938,943,954,965,968,982,988,994,1004,1013,1021,1030,1037,1047,1056,1070,1075,1086,1092,1096,1110,1116,1122,1133,1141,1147,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,33,42,48,51,63,73,84,86,100,107,119,120,132,140,147,155,169,176,314,320,328,342,345,358,366,377,379,394,396,406,412,427,431,445,596,602,617,623,626,636,648,652,668,674,683,689,700,706,720,724,732,744,748,757,768,773,785,794,805,812,817,829,839,841,849,857,873,878,890,894,907,911,924,932,937,947,954,965,974,979,992,1001,1007,1014,1021,1028,1041,1046,1056,1067,1077,1080,1096,1098,1109,1121,1125,1131,1143,1148,1163,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,25,32,42,50,54,60,76,77,93,101,106,112,120,130,141,150,157,166,177,313,326,330,335,352,356,368,372,380,393,395,406,420,424,436,444,597,602,611,622,631,637,645,658,664,674,680,694,696,709,717,721,735,740,749,761,771,773,786,792,805,813,819,825,838,845,854,864,870,876,884,895,907,912,924,930,938,943,951,965,970,982,988,994,1007,1017,1024,1028,1044,1046,1059,1064,1071,1080,1095,1097,1112,1120,1128,1137,1142,1148,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,30,35,48,58,62,71,80,92,98,110,111,121,136,141,147,162,170,172,191,323,330,340,349,357,362,373,380,390,399,404,416,422,435,439,598,607,610,618,633,640,648,656,665,669,685,689,696,705,713,726,737,745,753,762,767,775,782,790,797,808,820,824,837,846,852,857,865,880,884,898,903,914,922,932,938,949,958,965,972,978,993,997,1005,1014,1023,1029,1039,1052,1060,1067,1073,1080,1090,1100,1108,1121,1129,1133,1141,1150,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,18,28,35,48,57,67,72,77,89,99,104,113,124,130,143,146,161,167,177,179,321,329,341,345,354,363,372,386,394,395,410,416,424,437,441,463,608,610,622,628,639,651,656,663,669,681,690,697,707,718,727,729,739,748,755,766,776,786,796,801,810,819,830,836,847,852,864,866,874,886,898,903,909,917,929,941,950,956,959,975,983,992,996,1010,1012,1023,1032,1041,1051,1061,1069,1078,1080,1091,1104,1110,1121,1126,1132,1141,1150,1158,1172,1178	1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
3,14,18,30,41,49,53,61,68,85,93,100,103,116,124,131,140,146,157,165,178,184,324,331,340,351,360,367,376,385,390,399,406,418,423,435,441,471,603,610,620,627,641,646,653,662,672,679,689,701,703,715,723,736,744,748,758,771,775,785,790,802,811,820,831,838,840,849,861,871,880,883,897,903,916,923,930,941,950,956,967,968,982,989,999,1007,1012,1021,1030,1042,1048,1060,1065,1077,1080,1089,1098,1109,1120,1130,1135,1140,1154,1157,1167	0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,21,28,35,49,54,62,70,80,86,99,105,112,124,132,141,146,156,164,172,185,319,330,338,351,354,362,374,378,390,396,410,416,421,432,438,457,605,610,621,634,639,649,654,666,671,685,694,702,711,714,721,733,742,747,754,763,772,788,792,798,812,820,823,837,843,848,857,867,878,889,895,905,913,923,926,934,946,956,967,968,979,991,1002,1006,1011,1026,1035,1042,1048,1054,1063,1077,1084,1091,1098,1107,1114,1122,1137,1143,1149,1163,1166	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
2,14,18,29,34,44,57,65,68,85,87,97,108,117,125,134,139,151,154,165,177,184,318,333,341,350,357,366,377,380,393,402,407,416,423,431,444,463,605,613,618,630,639,649,655,664,670,679,692,698,706,713,724,735,741,749,757,763,777,783,792,801,808,818,827,834,846,849,861,871,880,890,895,901,913,924,926,940,949,955,966,974,982,988,1001,1006,1016,1025,1032,1043,1048,1054,1064,1075,1083,1093,1100,1106,1113,1126,1131,1143,1152,1158,1166,1177	1,0,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,17,32,38,43,52,62,76,78,91,97,108,111,121,132,138,152,160,169,173,182,322,333,340,348,355,367,377,381,392,401,408,416,423,433,439,597,605,610,622,627,642,650,660,669,671,678,692,700,703,711,721,735,742,747,757,764,777,782,791,805,808,815,831,833,843,849,859,868,881,888,897,905,916,919,932,937,948,958,964,969,977,989,1001,1010,1016,1025,1032,1041,1046,1058,1065,1077,1087,1092,1102,1110,1121,1122,1133,1142,1150,1161,1167,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
5,14,20,25,38,43,55,67,75,78,87,98,103,119,127,134,143,149,155,165,171,185,319,333,341,346,360,364,374,382,392,395,409,415,421,430,446,596,602,611,622,631,637,651,660,661,677,678,692,700,707,712,721,730,739,751,759,771,773,781,789,801,806,814,825,835,848,852,859,869,876,886,891,902,914,919,933,940,948,958,960,972,981,985,1001,1009,1018,1019,1031,1041,1048,1059,1070,1078,1083,1093,1101,1110,1117,1125,1134,1142,1152,1158,1172,1174	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,25,26,38,50,54,60,73,79,93,100,110,114,122,134,140,146,157,167,177,182,321,334,336,348,358,367,375,380,390,402,408,412,423,437,438,600,608,617,620,628,641,646,656,663,674,680,690,695,707,714,722,732,742,752,754,763,774,784,794,799,810,818,826,832,843,848,858,874,882,887,892,901,910,921,930,935,943,956,960,974,983,986,995,1003,1012,1021,1032,1044,1051,1059,1063,1077,1086,1093,1098,1105,1117,1123,1137,1147,1155,1163,1171	0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
8,15,23,26,37,46,57,67,76,79,86,98,106,117,122,131,144,153,160,165,171,315,325,333,340,347,359,365,372,378,390,395,411,418,428,437,440,600,602,611,623,632,640,648,656,668,676,680,693,697,704,716,727,734,737,752,759,765,774,783,790,798,807,821,831,833,846,852,858,871,877,883,892,900,910,918,929,937,943,959,961,972,983,986,997,1006,1012,1020,1032,1044,1052,1058,1063,1073,1086,1094,1097,1112,1115,1126,1138,1144,1152,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,21,30,40,48,56,67,71,80,93,98,102,115,127,129,137,146,156,170,171,186,320,332,335,348,354,361,372,380,391,398,407,415,426,435,443,598,604,615,620,634,635,648,659,666,672,681,691,701,711,720,721,737,738,751,755,770,774,784,790,803,810,821,830,833,845,854,862,870,881,887,897,908,910,923,933,937,943,951,964,975,984,993,1000,1008,1011,1025,1029,1044,1050,1061,1067,1075,1079,1088,1101,1104,1119,1124,1138,1143,1153,1159,1172,1177	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,19,27,34,42,52,62,73,78,92,96,107,111,125,133,137,151,159,166,171,194,323,327,342,350,354,367,374,386,389,401,404,414,427,433,443,459,605,617,623,634,643,649,652,663,669,682,692,702,709,719,727,731,739,749,762,764,773,787,792,801,812,822,825,839,843,853,859,873,879,886,896,902,913,919,930,936,943,953,959,973,982,992,996,1010,1011,1026,1034,1037,1050,1055,1068,1077,1085,1092,1103,1110,1115,1123,1137,1147,1152,1158,1167,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,21,32,35,43,55,64,74,77,87,102,103,112,127,135,144,152,160,165,178,191,325,330,339,347,358,365,370,383,393,401,407,416,426,433,446,597,607,617,619,629,639,651,656,663,676,680,687,700,708,712,724,729,743,753,761,767,775,784,794,803,807,814,825,831,840,853,857,869,875,884,892,899,912,918,928,938,951,955,966,972,982,989,997,1004,1012,1020,1030,1041,1048,1059,1070,1075,1085,1096,1103,1106,1121,1127,1138,1147,1151,1159,1166,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,23,27,35,46,53,59,76,77,89,100,105,117,119,128,137,145,161,168,175,189,320,334,339,351,353,367,373,383,393,400,410,414,424,431,441,600,602,610,619,633,636,649,655,661,669,681,692,698,706,713,724,733,744,750,755,770,774,781,796,798,809,819,829,836,840,856,857,869,880,885,896,904,914,919,933,941,949,952,966,969,982,987,1001,1003,1013,1019,1030,1039,1051,1059,1062,1071,1081,1095,1097,1107,1113,1130,1138,1141,1147,1159,1171	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,13,25,27,34,45,51,64,72,84,91,95,105,111,127,131,144,153,160,170,173,190,321,327,342,346,355,369,375,379,392,396,407,418,427,436,441,600,606,613,620,632,636,645,657,667,673,678,690,702,708,717,726,735,744,754,760,765,774,784,795,799,807,821,830,839,840,854,857,871,875,886,891,904,914,924,931,938,943,952,959,968,977,987,999,1009,1013,1026,1031,1038,1048,1058,1068,1073,1079,1093,1097,1105,1113,1124,1134,1140,1154,1157,1168	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,22,31,34,49,56,63,76,79,90,97,109,112,119,129,144,146,155,169,175,180,324,326,340,349,354,369,377,379,388,398,407,415,425,432,443,596,608,609,625,632,640,647,654,661,672,685,693,702,706,716,720,732,737,747,757,769,778,781,796,803,810,822,827,832,843,853,857,866,878,886,894,905,912,918,926,936,948,951,966,971,980,991,995,1006,1012,1023,1030,1041,1051,1059,1068,1072,1087,1090,1099,1107,1120,1127,1132,1143,1154,1159,1165,1177	1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,10,21,28,35,44,59,66,75,84,86,100,102,111,126,131,138,148,160,162,177,315,326,334,337,348,356,366,369,386,391,399,404,420,424,429,445,460,605,613,620,626,641,645,656,665,674,684,693,702,710,716,728,731,745,751,762,771,775,783,795,803,812,822,829,835,842,849,858,869,882,888,892,903,913,924,927,939,946,957,963,976,979,990,994,1005,1017,1025,1029,1036,1045,1061,1065,1077,1080,1092,1097,1110,1117,1123,1132,1142,1151,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,24,30,36,43,53,67,72,84,87,96,107,114,127,131,138,148,156,164,175,315,319,332,335,350,356,368,370,379,389,399,404,413,426,430,442,455,602,610,620,631,642,648,656,663,675,683,693,702,710,713,726,737,745,753,757,767,777,780,793,799,805,822,829,832,845,853,864,867,880,884,899,905,915,923,926,939,947,951,967,973,982,988,994,1009,1011,1025,1030,1037,1052,1054,1066,1075,1087,1094,1096,1113,1120,1121,1135,1140,1154,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,30,42,47,56,65,71,84,88,102,109,116,121,135,140,153,157,165,173,314,322,333,343,348,357,366,371,381,394,399,404,417,425,434,442,596,601,612,622,630,637,644,659,661,674,686,688,695,706,716,723,733,739,752,755,763,776,784,790,798,809,815,827,833,847,852,864,873,874,890,895,904,914,921,932,941,945,953,966,976,981,990,995,1006,1018,1026,1029,1041,1048,1061,1064,1074,1083,1095,1101,1112,1116,1122,1138,1143,1154,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,20,28,41,46,57,59,70,77,91,100,109,111,122,128,140,152,155,169,176,316,318,327,343,344,356,362,376,384,393,398,405,417,424,434,445,597,603,613,619,631,641,650,655,667,674,683,690,698,710,713,727,732,740,753,757,769,774,780,796,804,811,822,826,837,846,853,864,869,876,882,895,906,912,917,930,936,943,958,968,972,982,987,994,1003,1011,1021,1028,1038,1045,1058,1066,1072,1081,1090,1100,1112,1119,1124,1137,1143,1153,1160,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,29,38,45,53,61,69,81,90,96,110,114,120,133,140,145,156,163,175,313,321,328,339,347,359,364,375,385,392,400,409,419,423,431,440,597,607,617,626,633,636,649,657,665,672,677,690,703,706,714,727,729,745,751,762,771,778,782,794,801,806,818,830,839,842,850,865,871,882,886,894,903,915,921,933,935,948,953,966,976,984,988,1001,1007,1013,1020,1031,1037,1048,1055,1066,1077,1084,1090,1099,1112,1117,1122,1138,1143,1152,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,26,36,49,53,64,69,84,88,99,104,113,123,129,145,150,157,170,178,315,324,331,338,345,355,361,371,379,392,396,405,418,428,430,439,462,606,611,619,633,642,646,656,668,671,685,690,700,710,718,727,730,741,747,755,770,775,787,791,805,812,817,824,838,847,853,863,865,877,885,897,906,912,921,931,934,943,954,967,975,978,992,996,1008,1017,1020,1031,1037,1048,1058,1070,1078,1085,1094,1100,1109,1114,1126,1131,1147,1155,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,29,41,50,57,65,70,84,89,99,104,119,125,130,139,149,155,165,177,317,319,329,339,349,358,365,375,382,389,401,409,419,423,435,444,599,607,617,622,633,638,651,657,661,677,683,686,700,704,712,724,736,741,753,759,771,780,783,796,805,809,822,830,831,846,856,860,867,881,886,896,903,910,921,932,935,946,951,961,969,981,986,1001,1005,1012,1027,1030,1041,1049,1054,1070,1077,1086,1089,1099,1110,1119,1124,1138,1141,1154,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,33,41,45,56,62,71,79,91,101,105,118,124,131,143,149,157,169,177,314,318,333,340,346,352,367,377,379,391,396,411,416,426,432,440,454,606,613,620,626,638,643,656,667,672,686,692,695,704,713,721,735,738,752,754,764,773,783,790,805,807,815,827,836,841,851,860,871,877,889,897,906,913,922,931,936,943,954,962,973,982,992,999,1010,1015,1026,1033,1041,1047,1056,1064,1073,1080,1092,1104,1112,1120,1123,1135,1146,1154,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,31,35,50,51,62,70,77,91,95,103,116,127,128,144,150,155,163,175,191,322,327,339,350,355,361,369,385,391,398,409,416,422,429,439,598,608,609,620,631,639,648,652,666,674,684,692,696,711,720,725,734,744,750,754,766,772,785,793,799,807,820,827,838,846,856,859,874,878,885,894,900,911,924,932,935,944,953,962,969,984,990,993,1004,1015,1022,1034,1044,1049,1056,1068,1075,1083,1094,1104,1110,1116,1122,1136,1142,1149,1158,1169	1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,13,22,26,42,49,52,63,68,82,92,96,109,114,124,129,137,145,154,162,171,317,326,331,336,349,354,365,372,383,388,397,405,414,428,431,444,596,608,615,621,633,642,645,657,664,672,682,692,699,705,712,726,737,743,750,760,765,779,785,793,799,806,820,825,831,843,855,859,869,881,884,895,904,911,920,926,942,949,957,962,975,983,986,998,1009,1012,1021,1035,1040,1048,1057,1070,1075,1080,1091,1103,1110,1117,1127,1135,1147,1153,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,32,34,50,53,63,70,80,90,94,107,118,122,136,144,153,157,163,177,316,325,331,342,349,355,363,374,379,387,395,405,412,423,435,444,600,604,617,618,633,639,650,658,664,676,681,689,696,706,714,726,733,740,749,761,770,779,784,796,805,808,818,823,834,846,851,857,873,881,883,898,899,913,923,926,942,943,952,962,974,980,986,999,1006,1012,1027,1028,1041,1046,1061,1064,1074,1080,1093,1102,1112,1121,1123,1130,1141,1148,1157,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,21,28,38,45,54,60,76,78,93,97,107,113,127,135,142,145,156,166,171,317,326,332,337,351,357,368,374,386,387,399,406,416,422,437,440,462,607,613,618,632,639,647,657,661,673,683,686,700,708,719,721,735,743,752,759,763,776,784,796,800,810,821,829,834,843,849,863,873,880,889,896,902,915,923,928,939,943,956,965,970,978,985,1001,1005,1014,1019,1031,1037,1053,1057,1064,1078,1080,1094,1099,1108,1120,1127,1135,1139,1149,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,29,42,44,58,66,74,82,92,101,107,118,122,135,137,148,161,170,173,316,326,331,343,350,360,364,375,383,389,401,410,415,424,437,444,598,607,616,618,632,640,644,659,668,672,681,693,696,708,712,724,732,740,749,762,766,775,784,789,800,807,818,831,832,846,854,860,868,880,889,899,900,914,923,927,936,950,951,963,971,983,989,993,1004,1015,1026,1033,1041,1047,1060,1067,1071,1081,1092,1104,1111,1114,1121,1134,1139,1151,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,27,39,47,54,59,73,84,91,101,108,115,127,132,144,149,159,166,171,194,321,328,340,347,357,366,373,379,394,399,411,420,429,431,438,597,605,615,618,627,638,651,656,664,673,682,688,697,711,716,725,731,742,751,758,770,772,781,794,799,808,814,826,833,843,851,859,872,881,890,899,900,914,925,933,936,948,957,966,972,985,993,1002,1008,1012,1022,1033,1040,1046,1055,1067,1078,1079,1092,1100,1104,1118,1122,1133,1143,1153,1156,1170,1174	0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,21,33,34,47,58,64,76,80,91,101,107,118,124,130,141,146,161,164,175,313,319,333,340,346,356,362,372,381,391,402,410,416,422,430,438,453,606,613,624,628,641,646,655,663,674,684,694,699,707,718,728,732,739,751,762,766,772,782,794,804,806,814,826,834,842,851,860,868,877,889,891,907,912,923,930,941,945,956,962,974,979,987,997,1006,1010,1027,1033,1038,1048,1054,1067,1072,1081,1091,1104,1106,1114,1126,1134,1140,1147,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,28,36,43,55,67,73,82,89,97,102,113,127,133,139,146,157,169,173,315,319,329,337,347,358,362,372,382,389,402,412,416,421,434,441,460,601,615,622,635,643,645,654,664,671,685,691,701,705,712,725,729,738,753,755,770,774,783,791,798,808,817,830,839,843,851,865,867,879,887,897,902,915,917,925,936,944,952,966,975,979,988,995,1005,1013,1019,1032,1044,1049,1059,1064,1073,1087,1089,1101,1108,1121,1129,1131,1141,1154,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,26,37,49,53,60,71,78,85,99,108,113,125,128,144,148,158,164,176,315,325,331,339,344,358,365,376,383,393,398,408,418,424,430,439,459,602,609,619,630,637,648,658,664,671,685,690,700,707,716,725,736,745,748,762,764,778,786,797,799,811,818,824,832,848,852,863,873,875,890,895,903,908,921,925,936,948,956,967,973,982,990,999,1003,1016,1020,1028,1040,1052,1057,1069,1076,1084,1087,1100,1112,1115,1124,1131,1144,1152,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,33,38,48,52,63,68,84,90,100,105,119,127,132,140,151,155,168,176,314,320,334,343,345,358,368,375,384,389,401,408,413,425,437,446,596,603,616,626,633,637,647,655,669,670,680,689,702,707,713,726,730,738,751,754,771,778,781,791,802,808,820,830,834,846,853,865,869,879,889,892,906,912,921,925,941,947,959,961,971,979,990,995,1010,1016,1026,1031,1037,1046,1056,1063,1072,1082,1096,1100,1112,1119,1128,1136,1139,1151,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,19,27,40,48,51,61,69,84,92,97,108,113,127,132,141,149,157,169,178,317,325,328,338,348,356,363,372,378,387,400,403,417,423,431,438,466,609,616,625,629,639,645,652,669,670,683,694,703,709,719,725,737,739,747,754,766,775,784,789,800,813,821,828,833,840,849,862,871,878,883,896,906,908,921,932,934,945,955,964,975,983,988,995,1007,1018,1027,1032,1040,1046,1059,1069,1074,1083,1094,1102,1112,1119,1124,1133,1139,1155,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,20,32,38,46,54,67,75,84,93,99,109,119,127,132,144,149,161,164,176,313,324,335,338,350,359,363,375,384,394,400,405,418,423,436,443,597,603,613,618,631,642,645,656,662,677,680,687,697,711,718,726,731,737,751,760,765,775,780,795,802,807,817,825,834,845,855,859,866,875,890,899,904,911,918,926,937,946,951,962,973,981,987,995,1010,1015,1020,1031,1039,1049,1059,1067,1074,1083,1088,1102,1109,1114,1123,1133,1140,1151,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,23,29,41,48,53,62,75,79,90,94,103,117,127,130,143,150,161,164,171,314,321,330,337,346,355,362,371,385,391,396,405,416,422,430,443,596,606,616,618,632,642,645,659,664,676,678,686,698,708,719,726,732,743,746,755,767,771,780,789,802,808,816,829,833,845,854,864,872,877,884,894,908,914,919,931,940,948,959,964,971,981,990,994,1003,1013,1024,1035,1044,1047,1060,1070,1071,1081,1088,1096,1110,1121,1128,1133,1140,1153,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,27,37,43,53,66,75,80,87,94,106,119,125,133,140,145,154,162,177,316,324,328,336,345,355,365,376,385,391,401,410,413,428,434,442,598,606,611,619,631,640,648,658,661,676,682,690,702,710,717,727,734,742,752,756,763,777,788,790,800,813,822,824,839,845,852,859,868,875,891,898,906,913,921,930,937,949,951,963,974,980,986,998,1004,1018,1027,1033,1042,1051,1054,1067,1077,1081,1088,1098,1112,1115,1122,1134,1146,1148,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,32,40,43,56,64,73,79,92,95,109,117,125,136,141,149,161,163,174,318,324,330,338,349,357,363,373,385,389,398,411,416,422,430,438,467,608,613,618,633,635,645,658,663,671,678,688,701,703,719,725,729,742,751,755,766,771,782,796,799,812,814,823,838,847,851,864,868,878,888,893,902,911,925,930,942,949,951,964,973,978,987,998,1010,1013,1021,1033,1044,1050,1053,1063,1075,1082,1091,1099,1107,1118,1127,1138,1143,1152,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,21,25,40,44,58,62,70,80,93,102,108,116,120,131,139,147,157,163,178,317,325,328,341,350,356,363,376,379,386,396,409,419,427,436,439,461,609,613,619,627,640,646,655,667,671,683,693,695,704,717,720,737,741,747,758,769,773,788,796,803,806,822,829,832,847,851,861,869,880,890,897,900,914,917,933,938,943,959,966,969,982,993,996,1009,1019,1024,1034,1039,1046,1056,1066,1072,1086,1089,1104,1109,1115,1128,1137,1140,1153,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,31,35,47,58,67,76,85,92,102,103,114,119,135,136,153,161,162,171,316,326,327,340,349,359,363,370,386,392,398,411,418,428,437,441,596,602,612,620,632,641,646,658,661,675,680,691,699,707,712,728,730,738,747,755,768,775,782,789,798,810,815,827,834,848,856,858,874,880,884,898,906,914,920,927,937,947,955,961,970,983,992,999,1002,1011,1024,1034,1036,1050,1055,1065,1072,1085,1093,1096,1112,1118,1123,1131,1145,1150,1159,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,24,26,40,44,51,65,69,76,87,98,108,119,120,136,141,153,159,162,174,314,318,333,338,351,352,363,370,380,392,398,408,413,427,435,439,598,604,611,625,628,635,645,658,665,676,681,686,695,709,716,726,730,741,753,760,771,773,787,791,799,811,818,825,832,845,853,860,866,879,887,898,903,913,924,932,938,943,953,965,972,979,986,999,1004,1017,1020,1028,1039,1048,1058,1068,1072,1087,1091,1099,1112,1121,1126,1132,1143,1153,1157,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,17,28,41,49,52,63,73,79,88,95,110,112,127,129,137,150,158,170,171,179,324,328,339,347,357,365,370,385,389,402,412,420,426,429,444,467,604,615,620,631,637,644,655,668,672,683,687,703,710,715,728,737,740,752,761,767,775,785,796,801,811,815,830,837,847,854,858,869,879,889,891,905,914,922,933,935,948,956,965,973,976,992,994,1004,1018,1020,1028,1043,1047,1056,1068,1077,1085,1092,1100,1109,1115,1127,1132,1142,1153,1160,1169	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,16,21,28,38,43,51,63,73,82,89,98,105,111,123,136,144,147,159,164,174,317,321,333,336,348,353,369,377,378,390,401,409,418,429,433,444,596,605,612,618,632,642,647,658,667,671,677,691,696,703,712,721,729,738,748,755,768,779,786,790,797,814,820,823,836,844,850,864,873,878,888,893,905,915,917,928,936,945,952,965,969,984,990,998,1008,1011,1022,1030,1036,1045,1062,1066,1077,1086,1089,1100,1110,1114,1130,1135,1139,1155,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,10,24,33,42,48,53,67,72,82,92,94,102,111,126,135,140,150,162,168,174,190,322,335,340,344,356,363,372,379,388,397,411,414,425,433,444,599,604,612,625,631,640,650,653,664,669,683,689,699,710,713,725,737,740,750,762,770,775,788,795,798,814,820,828,832,843,853,859,868,877,888,895,907,912,920,929,935,946,958,962,969,982,990,994,1010,1013,1025,1036,1041,1050,1062,1070,1074,1084,1094,1103,1104,1119,1128,1137,1139,1153,1162,1168	1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
7,11,20,32,34,43,58,64,74,82,93,99,103,114,125,130,140,153,156,167,177,180,325,332,342,349,353,367,369,382,387,401,410,415,428,430,443,598,607,615,622,630,638,645,652,665,676,681,694,702,705,713,724,736,745,748,754,764,777,786,796,802,809,817,829,837,841,853,864,871,881,890,898,901,916,922,926,940,944,957,964,974,980,989,995,1008,1018,1021,1034,1038,1051,1056,1063,1076,1085,1095,1096,1104,1120,1127,1133,1139,1155,1163,1165	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
8,11,20,27,37,45,51,64,76,77,93,98,108,114,119,132,140,151,159,167,173,180,319,331,342,348,358,366,370,383,387,395,406,420,429,433,445,470,601,612,620,634,639,648,658,668,672,684,688,701,711,720,721,734,740,753,755,770,775,788,792,797,807,821,825,831,842,850,858,871,882,885,899,906,916,917,925,942,945,956,967,975,984,990,994,1006,1018,1026,1033,1042,1051,1057,1064,1075,1085,1094,1097,1109,1113,1125,1133,1144,1150,1159,1170,1173	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,21,27,41,44,55,63,75,82,86,99,106,118,122,128,139,147,154,163,177,180,323,328,338,349,359,365,373,378,393,399,409,412,421,435,443,598,601,615,618,632,639,646,654,667,672,685,689,697,706,712,725,732,738,751,756,771,777,781,788,801,812,822,826,839,842,857,860,867,879,883,894,906,908,925,931,941,945,957,963,970,981,988,995,1009,1013,1020,1032,1037,1048,1056,1066,1073,1083,1091,1099,1105,1115,1124,1138,1141,1155,1157,1170,1175	0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,19,27,42,46,53,61,68,79,91,95,106,112,127,129,138,151,159,162,173,188,324,327,337,346,359,363,371,378,388,399,409,419,427,431,443,466,601,615,619,632,637,650,653,662,676,680,690,696,709,718,722,733,744,750,762,770,774,782,792,799,812,820,829,833,848,856,865,872,874,884,899,905,914,922,927,935,949,958,963,974,985,989,1000,1004,1016,1025,1029,1041,1050,1058,1066,1073,1080,1087,1098,1112,1117,1129,1134,1139,1149,1159,1172,1177	1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
4,14,18,31,35,47,51,61,71,81,93,99,107,116,121,129,142,146,156,169,172,180,318,329,341,346,354,365,376,386,395,402,405,413,428,429,444,597,607,611,620,630,635,651,652,660,676,678,686,701,703,717,724,737,742,747,759,766,777,783,790,803,807,819,831,837,845,855,864,871,881,887,893,906,912,920,928,934,950,956,960,971,983,993,998,1006,1010,1020,1033,1040,1052,1057,1070,1073,1079,1093,1103,1106,1115,1125,1132,1146,1151,1158,1167	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,14,20,31,41,43,53,62,76,79,86,101,108,119,126,128,137,147,155,167,172,315,319,330,340,348,356,365,377,382,394,398,411,418,425,435,439,596,604,615,625,628,642,645,659,663,676,683,690,701,708,717,723,734,745,753,757,765,779,781,793,802,807,816,823,833,844,848,864,867,876,890,893,905,915,922,932,937,950,954,962,973,983,989,994,1007,1011,1027,1031,1039,1051,1062,1063,1077,1081,1095,1097,1106,1119,1126,1134,1144,1154,1161,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,24,27,40,49,54,68,76,79,92,96,110,113,121,134,139,150,154,164,179,198,322,331,339,351,360,367,371,380,388,402,404,413,423,433,443,596,604,613,618,634,635,644,654,661,673,684,693,702,705,712,724,732,738,752,757,763,777,781,789,799,813,820,829,838,844,856,858,872,876,886,892,904,910,917,928,942,949,956,962,975,983,993,998,1010,1017,1023,1033,1042,1053,1056,1069,1075,1079,1088,1099,1113,1116,1127,1134,1140,1149,1159,1173	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,10,24,33,35,46,54,64,76,78,87,96,109,114,122,129,143,145,157,165,172,180,319,335,342,343,359,361,370,385,387,399,407,420,429,433,440,599,602,610,622,632,635,644,660,664,672,685,693,703,705,712,721,729,737,752,762,764,774,786,794,798,807,815,831,833,848,854,864,870,878,890,897,908,911,919,931,938,946,958,962,972,977,993,994,1006,1011,1023,1033,1040,1052,1056,1069,1072,1080,1095,1099,1110,1120,1124,1134,1147,1152,1164,1169	0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,14,23,26,35,43,54,64,72,83,89,95,106,112,120,133,143,152,160,164,178,183,325,332,343,344,352,363,374,384,390,396,404,420,424,434,443,596,607,616,625,630,639,648,659,667,674,683,688,701,705,712,727,730,744,751,762,768,778,786,793,797,807,821,826,836,844,848,858,867,880,887,891,904,911,919,925,939,943,956,966,975,980,985,996,1002,1013,1020,1031,1036,1051,1058,1065,1071,1087,1090,1100,1112,1114,1125,1135,1139,1150,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0
7,9,23,32,39,51,54,63,71,84,91,95,108,115,123,135,141,151,159,163,173,314,322,330,338,349,354,365,375,385,389,395,406,415,422,434,446,600,601,615,622,633,642,649,653,664,673,682,689,702,707,714,724,730,742,750,759,764,773,782,794,801,808,817,829,833,842,853,865,873,879,888,893,903,915,917,930,941,946,958,964,970,983,986,994,1005,1017,1025,1034,1036,1050,1058,1066,1074,1084,1088,1101,1110,1120,1123,1136,1142,1156,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,23,31,38,49,55,66,69,80,87,95,102,112,120,132,136,149,153,163,178,195,320,334,342,351,354,367,372,385,387,396,411,415,426,432,440,597,604,612,625,627,635,650,654,668,672,684,694,698,707,719,727,734,741,749,760,766,779,787,792,805,808,821,824,832,845,848,864,871,880,888,897,905,916,925,928,939,948,954,961,968,984,985,994,1003,1013,1024,1033,1042,1045,1053,1065,1075,1079,1087,1098,1106,1121,1125,1132,1145,1150,1158,1167,1178	1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,24,31,38,45,53,67,72,82,89,94,102,115,127,130,136,147,161,168,175,179,322,333,341,351,360,364,374,381,393,398,411,417,423,437,445,598,601,609,623,627,636,644,656,663,669,686,691,695,709,719,721,734,742,752,762,770,772,783,790,800,813,816,823,837,844,856,862,866,876,884,895,904,916,917,925,942,947,958,967,975,982,986,1001,1008,1016,1021,1028,1039,1045,1056,1068,1071,1081,1094,1101,1110,1113,1126,1136,1147,1152,1164,1170	0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,23,25,36,47,58,66,75,83,86,101,105,112,119,133,142,146,156,168,175,314,320,330,337,348,356,369,370,381,392,397,407,420,426,430,444,463,603,612,626,634,641,652,659,661,676,682,688,697,707,715,721,729,744,746,761,765,778,783,789,799,806,818,827,835,845,854,865,867,876,888,896,905,908,919,932,939,951,958,962,969,984,986,1000,1010,1014,1023,1029,1041,1047,1059,1066,1074,1086,1095,1101,1108,1119,1124,1133,1140,1154,1157,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,32,35,44,52,64,74,85,93,100,103,111,121,134,137,145,156,166,171,317,324,328,341,347,354,369,374,381,389,397,407,416,421,437,440,596,609,615,619,633,638,650,654,661,670,678,691,699,707,718,720,732,741,748,757,768,771,788,794,798,810,820,827,836,843,849,860,870,874,884,897,904,913,924,932,941,946,956,966,972,977,992,999,1006,1014,1025,1028,1041,1046,1059,1062,1072,1080,1089,1103,1111,1114,1124,1137,1146,1148,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,32,36,48,51,59,76,81,89,96,109,115,127,130,143,145,154,164,178,313,323,332,343,348,355,367,369,383,390,397,407,419,422,432,438,451,606,612,621,631,639,648,655,664,670,678,694,699,703,717,725,729,738,748,760,771,776,783,795,803,812,816,823,837,842,850,859,872,881,885,896,905,913,924,932,936,945,955,965,971,976,990,999,1008,1011,1026,1034,1044,1048,1061,1068,1076,1086,1091,1099,1105,1117,1124,1132,1143,1151,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,20,33,41,43,56,66,70,77,87,97,109,114,122,134,140,148,158,165,173,315,321,327,341,347,357,363,369,384,390,397,405,412,420,434,445,597,603,615,622,627,636,647,652,668,674,678,689,700,705,712,726,730,739,748,756,769,776,780,791,802,809,815,829,839,847,852,864,868,877,886,899,903,916,925,926,934,945,951,964,970,976,991,1001,1004,1017,1026,1034,1038,1052,1053,1064,1077,1082,1092,1104,1110,1116,1124,1131,1144,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,30,40,49,53,67,70,84,88,94,102,111,122,128,137,151,153,166,175,313,321,327,338,350,353,366,372,379,392,400,409,418,420,437,440,455,603,609,626,628,638,647,660,667,673,684,688,697,711,716,726,731,738,749,754,764,775,781,789,804,813,822,823,838,844,851,857,869,875,884,894,900,911,924,930,940,946,954,960,972,977,991,995,1003,1013,1021,1034,1037,1051,1057,1064,1072,1079,1090,1100,1112,1115,1124,1133,1141,1150,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,28,38,47,57,61,73,81,90,96,109,118,126,128,144,146,162,164,176,315,318,331,337,346,356,365,373,382,390,398,404,412,426,431,439,454,601,610,618,627,643,650,653,666,669,678,692,695,709,713,723,733,740,746,756,768,772,780,789,801,809,822,825,835,842,850,863,870,878,885,894,903,913,923,929,935,946,958,967,973,976,985,994,1004,1013,1020,1032,1038,1051,1059,1070,1077,1084,1091,1097,1112,1118,1127,1138,1145,1154,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,25,39,48,52,59,71,83,92,100,105,118,127,134,143,145,156,168,178,315,324,332,337,345,356,366,374,382,389,402,403,418,425,434,441,597,601,613,626,629,642,643,658,667,671,681,693,701,705,716,724,737,743,750,758,766,778,783,789,797,810,814,823,839,847,855,862,871,880,890,896,901,915,922,932,940,943,955,963,970,983,990,1000,1008,1017,1020,1034,1037,1048,1058,1064,1076,1087,1094,1101,1106,1115,1129,1133,1143,1151,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,33,39,46,55,68,75,82,88,100,109,118,120,133,142,148,159,170,176,318,325,328,341,351,359,365,378,379,388,400,410,417,429,431,441,596,601,617,619,634,639,648,658,668,670,680,691,698,711,714,728,732,744,752,762,770,772,783,794,802,806,819,823,832,847,850,859,871,875,886,891,907,911,918,926,940,943,952,960,971,985,991,997,1006,1013,1025,1032,1037,1051,1058,1066,1078,1087,1091,1100,1111,1115,1126,1132,1143,1153,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,32,40,42,54,62,75,79,87,101,108,113,122,134,143,153,162,166,173,189,323,327,340,349,355,363,372,379,388,397,411,420,428,436,446,598,604,613,620,631,643,651,654,662,670,681,693,698,703,719,722,737,742,748,757,770,774,780,790,804,809,822,824,832,845,849,857,867,875,889,895,900,909,919,927,935,944,954,964,972,977,989,994,1010,1017,1021,1031,1038,1048,1060,1067,1072,1081,1093,1104,1108,1113,1123,1133,1140,1149,1159,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,17,24,26,36,44,58,63,75,80,89,95,104,115,123,129,142,153,156,169,172,318,324,329,340,348,357,368,370,381,393,396,410,417,425,429,443,466,605,612,620,631,642,646,656,665,669,678,688,700,707,715,721,729,741,753,761,764,775,783,791,803,809,814,829,837,844,855,864,873,877,888,899,903,912,924,929,937,945,959,965,968,979,985,1000,1010,1011,1027,1033,1039,1051,1060,1065,1071,1082,1092,1101,1105,1113,1125,1138,1141,1148,1159,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,29,36,48,51,59,68,80,85,97,105,113,120,133,136,145,154,164,173,318,323,326,339,350,358,361,376,378,389,397,407,412,426,435,443,597,601,612,625,626,635,648,652,668,669,685,694,698,705,720,726,732,743,749,758,766,779,788,791,800,806,822,830,836,845,855,861,872,881,890,897,906,913,917,932,936,945,954,962,974,979,989,1001,1003,1014,1026,1030,1038,1052,1061,1065,1076,1085,1092,1097,1106,1113,1122,1136,1142,1148,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,31,42,44,51,60,71,78,92,101,107,117,126,135,141,152,161,169,174,316,322,335,340,349,354,362,373,385,391,399,404,417,421,431,445,468,608,617,622,631,641,645,655,664,671,683,690,702,709,714,723,732,745,754,761,763,773,784,794,799,807,815,823,835,845,852,861,868,882,886,896,902,912,924,932,936,950,957,964,971,983,986,999,1002,1016,1022,1032,1044,1052,1058,1066,1076,1087,1094,1100,1109,1114,1125,1135,1145,1155,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,28,34,44,51,64,68,79,90,99,108,116,125,131,141,149,161,169,176,317,319,327,336,348,360,369,372,381,387,399,405,413,420,434,443,599,601,612,625,632,641,651,658,668,670,684,689,701,709,714,727,733,746,748,757,765,775,782,795,802,809,816,823,832,845,853,862,868,880,883,895,901,915,923,927,938,943,959,966,968,982,991,1002,1010,1016,1021,1035,1037,1048,1060,1064,1078,1086,1090,1100,1110,1113,1123,1133,1146,1153,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,25,33,35,46,52,67,71,82,89,100,111,118,127,128,143,153,155,169,176,180,321,333,342,350,359,361,377,383,392,402,411,413,421,437,442,467,608,613,623,634,637,648,652,663,674,682,690,699,703,712,726,735,740,747,761,764,775,786,796,801,811,815,823,837,843,853,864,873,880,888,897,906,909,924,928,936,944,955,960,971,983,988,996,1005,1018,1026,1035,1037,1051,1061,1066,1073,1082,1088,1100,1110,1121,1122,1136,1142,1152,1160,1166	1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,15,25,33,34,45,55,65,69,80,90,98,103,118,120,129,140,148,158,168,172,315,321,333,337,344,354,361,375,380,394,398,409,420,424,437,443,598,607,616,625,626,639,644,658,661,671,679,690,702,705,715,720,730,738,754,755,764,773,787,794,800,808,816,831,838,840,849,859,872,881,884,898,906,913,921,926,935,946,952,963,970,979,991,996,1003,1015,1020,1031,1043,1052,1059,1070,1075,1083,1095,1101,1112,1113,1129,1136,1142,1151,1161,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,29,42,51,54,67,75,80,85,100,106,115,123,128,141,146,153,170,178,313,320,326,341,348,356,363,373,381,388,403,410,415,428,433,445,597,602,610,623,627,636,651,660,667,673,678,687,701,704,717,728,736,744,752,757,770,777,783,794,800,808,822,825,832,847,853,859,873,876,887,891,904,916,918,933,935,943,955,961,973,983,992,997,1009,1016,1020,1032,1036,1049,1058,1070,1075,1080,1093,1099,1112,1117,1128,1132,1142,1149,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,31,41,50,57,60,72,83,90,101,108,111,119,128,138,150,157,169,179,314,324,330,341,346,354,367,377,384,390,400,407,413,422,435,438,459,608,611,625,632,640,651,654,662,676,682,691,695,709,713,721,729,742,749,757,764,780,785,791,803,809,816,826,834,846,853,864,865,876,884,898,901,908,921,930,942,949,951,961,974,983,990,999,1007,1018,1026,1031,1040,1050,1056,1067,1073,1086,1092,1098,1112,1113,1129,1130,1142,1150,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,26,34,42,53,65,75,77,86,100,106,116,122,129,139,145,155,170,175,316,323,327,336,345,353,362,371,383,389,396,405,412,427,435,444,466,603,612,618,631,636,648,658,661,671,681,694,702,706,715,728,733,742,750,758,769,779,784,791,798,809,819,830,833,840,850,859,866,879,891,896,906,914,919,930,941,943,956,966,973,979,988,994,1006,1012,1020,1030,1038,1051,1054,1067,1076,1086,1089,1096,1111,1118,1124,1137,1145,1147,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,19,31,36,46,59,60,70,82,90,102,107,118,122,131,139,151,161,166,176,314,323,328,339,350,360,367,378,382,394,402,403,416,426,436,438,449,606,614,620,632,636,645,658,667,676,680,692,701,706,714,726,732,737,753,758,765,779,785,796,803,811,822,830,831,841,853,864,867,876,884,892,906,913,923,928,939,947,959,961,973,980,990,997,1007,1016,1020,1031,1043,1053,1054,1068,1078,1087,1095,1104,1113,1121,1127,1135,1144,1147,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,34,36,45,54,63,71,85,92,100,110,117,126,134,142,151,162,165,177,316,322,330,342,346,354,363,373,381,389,403,407,420,421,431,442,447,604,610,619,631,640,646,656,666,675,680,686,698,708,719,723,735,738,751,761,764,775,786,796,805,808,820,830,832,843,855,858,872,876,883,899,907,913,924,929,938,945,957,967,971,983,987,998,1005,1019,1027,1029,1040,1048,1055,1070,1073,1084,1088,1103,1111,1119,1126,1132,1145,1150,1164,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,28,40,50,51,67,70,78,91,97,106,119,125,131,144,152,159,164,172,313,326,331,337,349,360,363,371,385,394,401,408,417,423,434,445,458,604,615,625,633,635,644,658,668,677,680,687,696,706,719,727,734,746,753,761,768,775,780,793,803,809,822,826,839,846,856,865,868,876,886,895,902,912,923,926,934,946,954,960,971,984,989,993,1010,1013,1021,1032,1038,1047,1059,1063,1074,1084,1091,1103,1104,1114,1130,1135,1139,1150,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,21,26,35,43,55,62,68,79,92,102,110,114,127,134,137,151,154,170,176,317,321,334,339,344,358,369,374,379,394,397,405,418,425,431,443,599,603,610,623,629,640,645,660,669,674,681,692,702,711,716,728,737,741,750,760,764,778,786,791,797,812,817,825,836,841,849,858,869,876,885,892,906,911,923,933,935,948,953,967,971,982,990,999,1006,1010,1021,1032,1042,1048,1059,1070,1075,1079,1093,1099,1108,1120,1123,1136,1140,1151,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,31,38,45,52,62,71,83,91,99,107,119,127,134,144,149,161,164,176,316,323,330,341,345,352,365,373,382,393,398,408,415,427,433,442,600,607,611,624,627,638,645,658,668,671,680,692,695,705,719,726,733,743,750,757,766,775,784,789,798,806,817,826,831,842,854,858,873,876,883,894,905,909,922,928,934,946,957,963,975,980,992,995,1004,1017,1023,1028,1040,1051,1055,1070,1074,1085,1096,1103,1110,1115,1124,1133,1139,1153,1159,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,25,33,35,45,58,64,74,81,86,99,107,118,123,133,140,153,161,165,171,317,324,329,337,349,354,369,376,384,392,395,410,416,423,429,443,452,606,615,621,627,638,647,658,661,670,679,691,695,708,716,728,730,741,746,759,770,779,787,796,804,814,819,823,837,843,854,857,869,882,888,891,908,911,920,928,939,950,956,962,971,977,992,996,1005,1016,1022,1034,1039,1047,1058,1068,1071,1079,1089,1102,1108,1113,1130,1137,1139,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,26,35,44,51,67,75,82,91,95,105,112,124,128,140,152,157,168,176,314,320,333,342,347,356,361,375,383,394,395,407,414,422,433,439,599,606,617,623,626,639,649,653,665,677,681,691,699,704,715,723,733,744,746,760,766,777,780,795,805,806,816,828,837,844,852,865,868,880,889,894,907,913,919,933,934,943,954,961,969,978,986,1000,1008,1014,1027,1035,1041,1049,1054,1066,1078,1085,1091,1103,1109,1114,1127,1137,1145,1149,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,31,41,50,52,67,68,77,93,95,104,116,121,132,139,151,154,169,179,316,323,328,340,351,355,365,377,385,393,399,411,416,427,436,443,600,606,612,623,631,642,651,654,663,677,679,687,697,706,719,724,730,739,750,759,763,774,787,795,798,807,816,829,833,846,849,862,865,878,890,891,901,916,918,928,937,947,953,965,968,977,993,994,1010,1012,1019,1035,1043,1049,1060,1066,1073,1086,1088,1102,1111,1119,1128,1131,1140,1154,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,23,29,38,47,53,67,76,84,93,98,109,115,123,134,140,148,156,168,178,194,318,333,335,344,355,361,374,384,389,401,408,419,422,432,444,451,607,612,620,632,639,646,656,664,670,679,686,702,710,715,726,732,738,751,759,767,772,785,794,802,808,816,830,836,840,855,861,868,875,887,899,902,910,921,927,941,950,953,965,973,984,988,998,1010,1018,1022,1028,1036,1046,1056,1065,1074,1083,1093,1101,1107,1114,1124,1135,1141,1151,1163,1171	0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,18,33,40,50,58,63,72,85,90,99,104,114,125,134,142,151,161,167,176,185,318,334,337,347,353,364,375,386,389,396,410,414,425,433,439,598,603,613,621,632,640,644,654,665,677,681,690,702,711,713,728,733,740,748,758,763,779,786,791,805,812,817,830,831,845,852,860,871,880,889,896,904,910,919,926,935,946,951,961,973,984,990,1000,1010,1011,1022,1036,1041,1050,1056,1066,1075,1079,1091,1100,1109,1119,1124,1133,1141,1153,1158,1168,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,18,29,34,44,56,62,73,78,86,101,104,113,127,134,142,145,160,165,171,179,323,329,337,349,358,365,373,383,393,400,404,419,426,434,443,453,606,613,622,633,642,647,652,662,671,683,692,699,708,718,725,730,742,752,759,767,775,786,791,799,806,818,827,838,848,852,862,866,882,885,896,906,915,925,930,939,943,955,959,975,982,989,998,1004,1016,1022,1031,1038,1050,1055,1070,1078,1084,1091,1100,1108,1120,1127,1133,1145,1148,1159,1170,1174	1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,10,20,30,38,47,55,65,73,80,90,96,104,118,125,134,137,147,160,164,179,182,324,332,338,344,355,363,369,378,390,396,404,419,424,437,443,599,605,613,619,629,640,644,657,668,672,678,694,697,708,718,721,730,744,753,754,769,775,782,791,800,808,815,830,839,840,852,860,873,878,890,896,907,914,917,926,937,945,958,960,969,982,990,996,1005,1013,1021,1035,1042,1053,1061,1062,1074,1082,1089,1102,1106,1119,1127,1137,1145,1155,1156,1168,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
6,16,17,34,40,43,56,68,76,79,93,97,109,115,124,134,141,148,159,169,173,183,319,333,335,351,358,366,371,379,390,402,409,415,427,433,443,599,603,617,624,631,639,643,653,668,672,679,690,701,706,716,721,732,739,752,759,768,777,784,795,799,808,821,825,835,847,855,857,868,880,888,896,904,911,919,930,934,948,952,967,970,984,988,1000,1003,1019,1022,1036,1043,1049,1059,1065,1075,1081,1090,1100,1108,1115,1123,1131,1144,1149,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
6,10,23,29,35,48,54,64,74,77,93,101,108,113,124,130,141,152,154,162,177,182,322,331,336,350,360,367,373,380,391,403,408,414,428,437,445,599,608,615,624,632,637,647,653,662,672,678,686,698,710,717,724,736,744,750,759,769,773,783,792,797,807,819,825,840,844,850,863,866,882,890,897,906,910,923,928,941,946,954,964,971,983,990,1001,1005,1015,1020,1032,1042,1048,1058,1067,1074,1087,1088,1098,1105,1120,1127,1134,1146,1147,1159,1171,1178	0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
7,10,19,27,35,48,55,66,75,82,85,102,109,114,124,128,139,147,157,164,171,182,324,335,338,351,354,366,369,381,393,396,412,415,428,435,441,461,603,613,625,628,635,649,657,664,677,682,691,700,705,717,725,736,745,754,756,768,776,785,794,799,812,816,831,833,846,854,861,870,878,886,896,902,908,924,927,939,947,958,961,971,978,991,999,1007,1015,1025,1034,1042,1047,1055,1065,1074,1086,1095,1100,1112,1114,1124,1134,1145,1152,1158,1168,1175	1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,12,22,26,41,47,54,66,68,82,92,97,109,115,121,132,143,149,154,170,175,189,318,333,341,352,359,361,375,379,393,401,409,413,424,435,443,598,603,613,625,634,642,651,655,666,672,679,691,696,704,717,728,735,744,748,755,767,774,788,795,803,806,817,829,838,843,853,862,873,882,889,892,907,913,919,931,934,949,955,967,974,984,989,999,1009,1014,1024,1035,1039,1051,1058,1064,1077,1084,1091,1098,1107,1118,1125,1137,1140,1150,1164,1167,1174	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,9,18,32,37,49,52,65,75,83,90,99,106,112,122,130,140,145,154,162,171,318,324,331,338,346,352,366,372,383,391,399,405,414,422,437,439,461,601,614,620,633,636,645,657,661,670,681,694,700,709,717,725,735,741,752,760,769,777,787,791,805,806,820,830,833,842,856,860,871,880,885,893,901,910,925,933,936,946,953,963,976,982,987,996,1006,1013,1026,1033,1043,1045,1056,1065,1078,1082,1089,1103,1112,1121,1124,1138,1146,1153,1156,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,33,40,44,55,67,72,79,88,95,102,111,123,134,144,146,156,162,177,186,324,331,338,348,359,361,376,385,394,401,409,414,428,437,444,596,607,616,619,633,640,647,653,663,672,681,693,695,709,714,726,734,742,747,757,768,776,784,793,799,808,818,825,833,841,849,862,867,876,887,892,903,910,918,933,939,944,954,963,970,979,986,1001,1003,1014,1024,1034,1042,1045,1059,1067,1074,1083,1095,1099,1106,1120,1124,1137,1143,1150,1156,1170,1177	1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
8,13,24,30,40,49,56,62,70,84,86,97,107,111,126,128,137,148,162,167,173,180,324,329,340,349,353,369,377,378,389,398,408,413,426,429,439,596,601,612,624,630,635,644,658,664,675,681,691,695,704,715,726,736,739,753,758,771,775,784,795,805,806,814,825,833,847,854,860,867,879,884,896,901,916,921,933,941,945,953,966,976,979,990,999,1002,1014,1024,1030,1038,1051,1059,1066,1075,1084,1092,1100,1110,1119,1128,1138,1139,1149,1158,1166	0,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,20,31,35,50,51,62,68,79,93,99,103,119,121,135,142,149,159,170,173,185,320,331,343,351,358,367,374,382,387,402,410,415,428,429,440,598,604,610,623,632,636,648,657,668,675,682,692,702,706,715,724,733,744,751,757,769,779,784,795,804,807,821,826,832,848,850,857,865,882,887,892,903,911,919,926,936,946,951,963,973,982,986,994,1006,1018,1020,1028,1037,1046,1057,1064,1077,1079,1091,1102,1108,1116,1126,1131,1147,1151,1161,1167	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,31,38,44,58,64,68,78,88,95,108,112,125,128,140,153,154,165,173,189,323,334,343,350,360,366,373,381,393,398,405,412,425,430,443,458,607,613,626,628,637,649,659,664,669,684,689,697,709,718,726,737,739,749,759,770,776,782,796,805,813,821,828,838,840,854,863,868,875,883,899,906,914,918,926,935,949,954,964,973,983,989,993,1009,1018,1025,1032,1042,1049,1057,1064,1072,1085,1088,1104,1107,1115,1122,1138,1142,1148,1159,1166	1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,18,27,39,42,51,60,75,84,93,100,106,114,126,134,142,150,160,163,175,183,319,333,343,347,360,369,375,384,393,401,406,415,428,437,443,596,608,612,621,631,639,651,657,664,673,678,690,699,707,718,725,729,742,752,759,769,771,788,790,802,810,819,829,837,842,852,865,871,879,887,897,901,913,917,928,941,950,955,966,975,982,986,998,1005,1017,1023,1035,1044,1052,1060,1065,1079,1081,1093,1098,1110,1118,1127,1132,1139,1153,1162,1167,1173	1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
8,11,24,27,40,47,58,67,73,79,85,99,105,115,123,129,142,147,156,170,173,184,320,328,342,348,358,366,373,382,388,399,404,412,427,434,441,463,607,614,626,630,641,649,657,661,676,685,687,694,709,717,720,732,742,747,762,764,776,786,789,800,806,818,823,839,842,848,864,873,879,887,897,907,913,919,931,939,944,955,962,971,984,986,1000,1009,1019,1027,1032,1037,1053,1061,1068,1078,1080,1095,1096,1112,1118,1126,1130,1147,1153,1160,1164	1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,13,24,26,37,43,51,60,75,79,90,97,109,114,125,129,139,145,162,164,174,315,326,327,340,351,360,368,374,381,389,397,410,415,425,432,445,448,604,612,622,629,641,647,656,668,676,683,688,697,709,714,728,733,743,752,761,768,778,788,790,804,808,817,826,834,848,854,858,868,874,887,897,906,916,920,932,939,943,954,966,969,981,992,999,1009,1017,1027,1030,1039,1046,1057,1070,1071,1081,1089,1096,1107,1119,1125,1138,1144,1148,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,31,42,44,55,60,72,85,88,99,108,114,124,128,144,151,160,166,179,313,324,327,340,351,355,366,373,386,387,403,411,420,428,432,444,600,602,612,624,630,639,649,658,663,669,679,689,700,703,718,727,736,743,754,756,764,772,780,795,800,807,819,831,838,844,851,858,872,879,891,898,906,909,921,932,942,948,956,967,973,983,992,994,1009,1010,1025,1032,1038,1051,1054,1065,1071,1085,1091,1098,1109,1119,1125,1136,1140,1152,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,28,41,44,54,60,74,76,88,94,105,114,124,131,143,147,157,163,171,318,324,327,339,350,357,365,375,379,393,401,409,417,424,437,443,596,603,617,620,633,638,648,658,661,669,678,693,700,708,712,721,733,742,751,759,769,776,785,794,799,812,818,830,839,844,856,862,868,879,887,898,906,910,923,929,939,949,952,962,974,978,985,994,1010,1014,1024,1030,1039,1050,1057,1064,1073,1082,1089,1100,1105,1117,1127,1132,1142,1154,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,30,34,44,59,63,74,84,86,95,110,114,121,134,145,151,155,169,175,317,325,332,337,344,356,367,376,382,389,401,409,414,428,431,446,449,603,612,624,626,637,644,655,664,677,682,691,702,710,715,727,737,744,750,759,764,780,786,789,801,810,822,823,835,843,849,863,866,874,891,897,899,911,917,926,937,945,951,961,968,982,990,995,1007,1016,1027,1029,1038,1049,1056,1065,1070,1080,1088,1104,1110,1121,1124,1132,1147,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,26,35,50,56,68,73,85,88,100,103,115,120,133,144,149,155,165,178,318,323,334,336,352,359,363,372,386,387,401,404,417,425,437,439,466,609,617,619,626,639,650,652,666,673,679,692,695,708,712,727,729,743,748,760,770,776,782,789,799,808,814,831,836,844,849,863,865,876,887,896,900,913,917,929,934,948,959,967,972,979,992,1001,1008,1012,1019,1034,1040,1045,1055,1066,1077,1080,1088,1104,1107,1113,1123,1136,1144,1151,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,26,35,43,52,66,68,85,93,101,108,118,127,129,137,146,159,165,171,316,322,328,342,345,355,363,377,383,394,401,411,417,421,433,440,598,601,616,622,631,642,648,657,662,675,686,689,699,706,716,722,735,738,747,757,771,774,786,793,805,811,822,824,837,844,852,857,870,881,888,899,902,911,920,932,936,949,951,963,971,981,987,997,1004,1014,1024,1033,1042,1052,1058,1067,1077,1083,1092,1103,1107,1120,1129,1136,1144,1155,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,32,36,45,56,61,72,78,90,94,110,113,127,134,142,152,156,168,178,313,318,333,342,344,356,361,370,378,392,399,411,413,428,437,443,462,602,616,623,631,637,646,655,664,675,686,693,702,711,716,725,731,742,749,754,770,778,783,789,804,812,821,829,836,840,854,859,868,874,886,899,903,913,923,933,935,950,956,967,973,976,993,1000,1005,1012,1026,1029,1042,1047,1058,1069,1072,1087,1093,1101,1106,1115,1123,1135,1140,1153,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,30,38,48,52,61,69,80,88,97,109,115,127,131,137,151,160,169,174,318,321,331,340,347,359,364,371,385,390,402,408,416,427,432,440,460,608,616,622,629,635,652,660,661,672,680,687,699,711,717,728,737,739,746,761,766,776,782,792,798,814,818,829,837,843,850,863,869,879,890,892,902,916,921,932,940,945,953,962,974,982,992,995,1009,1016,1019,1031,1040,1050,1054,1063,1071,1085,1089,1104,1110,1114,1129,1137,1140,1152,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,18,28,38,46,53,65,73,84,87,97,103,116,128,134,138,145,157,170,177,180,323,332,340,348,356,365,374,379,392,402,404,419,425,431,440,468,605,612,626,631,638,646,654,660,672,682,693,697,707,718,723,733,743,749,762,769,773,780,792,799,810,815,825,833,842,848,862,868,882,890,898,905,913,924,930,937,949,953,965,971,977,989,1000,1006,1013,1025,1035,1040,1045,1058,1062,1078,1082,1091,1100,1111,1113,1125,1137,1141,1153,1161,1172	1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
2,11,25,33,40,43,52,68,70,83,90,100,109,118,119,131,138,147,157,164,173,315,320,333,337,345,354,364,376,383,390,398,406,420,424,431,440,463,607,612,624,634,637,645,652,664,669,680,689,700,703,719,722,731,742,750,761,766,772,783,796,800,806,815,829,837,847,849,861,868,878,883,895,905,913,923,927,934,944,959,963,971,977,985,994,1003,1013,1019,1031,1036,1047,1060,1069,1075,1079,1089,1103,1108,1121,1125,1131,1144,1155,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,17,30,34,45,55,60,73,77,89,96,104,114,121,135,137,149,158,165,172,314,323,330,340,344,360,365,377,382,387,402,409,419,425,434,443,452,607,611,619,634,640,650,653,666,671,681,691,700,710,715,728,735,740,754,758,763,778,788,793,798,809,819,826,835,841,853,859,872,882,889,895,904,916,924,929,940,949,954,964,975,982,989,1001,1007,1018,1022,1033,1037,1049,1053,1066,1074,1084,1094,1099,1107,1117,1130,1134,1141,1147,1162,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,29,37,50,59,66,75,79,93,97,110,119,120,134,140,149,157,163,173,313,323,334,341,348,354,364,370,385,390,400,407,419,428,432,445,460,609,614,620,632,639,649,657,664,676,680,691,695,706,716,725,730,739,747,762,770,771,787,791,804,813,817,826,837,844,849,857,868,878,888,898,901,914,922,928,935,943,955,964,973,983,992,996,1002,1012,1024,1031,1037,1048,1058,1064,1075,1083,1088,1104,1106,1114,1123,1137,1139,1154,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,32,35,49,56,60,75,81,93,95,102,118,122,130,136,153,162,169,177,318,323,334,336,347,359,367,371,385,394,395,404,415,429,430,440,599,606,609,621,629,640,648,658,668,677,683,694,703,708,718,723,732,740,750,761,770,776,783,794,803,813,817,829,836,840,855,865,873,878,887,893,901,912,921,933,941,950,956,966,968,980,989,997,1008,1014,1024,1029,1045,1051,1053,1063,1072,1081,1090,1102,1109,1118,1127,1137,1139,1148,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,28,39,49,51,63,74,78,92,96,108,117,126,128,143,147,157,162,171,181,322,328,336,346,358,362,376,383,394,396,409,414,421,436,446,600,607,616,624,628,637,644,656,665,674,677,686,703,711,715,721,729,744,748,756,770,772,786,789,804,808,816,826,839,844,855,858,873,877,883,896,907,914,920,930,937,944,953,965,969,980,985,996,1010,1011,1025,1032,1038,1047,1055,1066,1071,1085,1092,1096,1110,1117,1128,1133,1145,1152,1162,1165,1173	1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,23,33,40,49,52,68,70,77,93,96,109,112,126,131,143,147,155,164,176,313,320,332,343,346,359,368,371,379,389,395,406,414,421,430,438,459,604,611,619,630,641,645,656,666,674,682,689,699,704,712,722,736,738,746,755,770,779,788,795,797,809,820,831,832,843,852,863,873,877,883,898,900,909,918,929,934,946,952,962,974,978,988,996,1010,1016,1023,1032,1036,1049,1056,1066,1078,1081,1093,1096,1106,1114,1128,1134,1146,1149,1161,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,31,37,44,57,61,75,77,90,94,108,112,127,133,143,149,156,170,172,315,321,330,340,344,353,365,377,383,387,396,407,414,427,434,441,599,601,613,618,631,641,649,659,668,671,680,686,702,710,714,720,732,740,747,754,768,778,780,791,800,810,821,825,836,844,848,865,867,876,887,895,902,912,925,929,940,945,956,965,970,983,993,997,1009,1016,1025,1033,1043,1047,1059,1066,1078,1086,1091,1103,1108,1119,1124,1136,1145,1152,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,33,35,50,57,59,74,83,87,96,103,119,123,134,140,148,159,163,174,315,319,332,336,345,356,364,376,382,392,396,406,412,420,433,439,597,602,614,622,629,639,645,657,667,669,682,690,703,707,719,727,730,741,754,755,768,774,783,796,798,808,818,826,832,840,852,859,871,874,890,894,904,908,918,927,940,949,953,961,973,981,988,994,1007,1018,1020,1036,1041,1047,1056,1068,1072,1080,1094,1097,1106,1116,1125,1130,1144,1155,1156,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,24,30,36,47,57,62,73,82,88,99,110,113,123,134,139,153,154,165,173,318,321,329,339,345,354,361,376,384,392,399,405,416,423,431,443,600,602,617,621,630,640,645,655,667,676,678,691,698,708,715,725,730,744,750,762,771,776,785,797,804,808,817,824,837,840,852,860,869,881,890,891,902,915,917,926,938,949,954,960,970,977,992,1001,1004,1014,1027,1035,1037,1050,1059,1064,1071,1083,1093,1101,1108,1114,1129,1138,1144,1149,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,30,35,42,54,61,74,82,91,95,108,112,126,132,143,151,153,169,177,314,324,331,341,350,358,367,376,378,389,398,409,412,422,431,439,457,601,611,623,630,635,649,659,662,673,683,689,700,707,717,728,734,738,751,758,764,773,782,791,798,806,819,827,838,846,852,860,868,879,885,895,901,910,921,929,936,944,957,967,969,982,991,997,1009,1018,1022,1029,1042,1050,1054,1065,1072,1083,1094,1098,1105,1115,1124,1131,1140,1150,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,28,34,48,56,67,75,82,85,100,108,117,122,133,137,150,157,170,175,313,321,330,341,346,359,361,370,384,391,398,403,418,422,434,442,597,602,610,620,634,642,646,657,663,674,682,689,698,707,716,725,732,737,750,759,763,774,787,789,800,811,815,824,839,842,852,864,872,879,886,894,907,914,922,933,941,948,955,967,970,980,992,993,1005,1013,1020,1035,1044,1048,1060,1063,1075,1084,1093,1098,1106,1119,1124,1132,1142,1148,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,19,29,35,48,59,65,76,84,88,98,110,113,120,134,141,145,155,163,172,315,326,327,335,347,356,366,376,380,390,398,410,414,429,435,444,466,605,611,619,629,635,644,654,664,674,680,689,695,708,713,721,734,740,747,762,765,775,781,793,801,807,814,824,833,847,856,864,873,876,883,897,907,914,917,930,935,946,954,960,971,982,985,1001,1008,1015,1020,1032,1043,1048,1058,1069,1078,1083,1090,1097,1112,1121,1128,1130,1143,1155,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,26,38,44,55,60,76,80,87,98,109,114,121,135,140,151,160,168,175,314,320,334,335,344,359,363,377,384,388,395,408,412,420,430,443,597,609,612,625,626,639,647,658,667,675,684,693,701,704,715,728,733,739,746,758,769,777,786,790,800,812,819,830,835,842,854,865,871,874,883,895,900,911,920,932,942,950,959,965,972,982,993,994,1005,1019,1027,1031,1040,1050,1059,1067,1075,1081,1093,1096,1113,1117,1128,1133,1142,1147,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,26,39,51,52,63,70,78,87,94,107,112,119,129,144,151,156,168,176,315,318,327,339,350,359,362,370,383,393,397,406,418,428,437,443,468,601,610,618,629,638,647,654,665,676,681,693,699,708,719,721,729,738,746,760,769,774,787,794,805,812,822,829,835,841,856,863,874,878,887,893,908,914,925,933,937,944,953,966,969,980,989,995,1007,1013,1022,1028,1039,1049,1060,1067,1070,1084,1093,1102,1108,1119,1124,1137,1141,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,17,25,40,45,59,66,71,79,89,100,106,119,122,129,144,152,155,163,174,314,323,328,335,349,353,364,376,380,393,396,409,414,422,432,442,598,601,616,624,632,641,647,653,662,673,680,690,699,706,714,723,729,743,746,763,769,779,786,792,801,811,817,825,838,847,851,862,871,881,889,892,908,912,923,928,938,945,952,964,973,979,987,1000,1010,1012,1024,1032,1039,1052,1061,1065,1076,1085,1089,1097,1105,1114,1129,1136,1142,1148,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,29,41,44,52,66,74,84,86,95,109,118,127,131,137,150,158,163,175,315,318,328,339,351,355,362,377,379,388,401,405,418,422,434,439,453,601,616,623,632,636,649,654,662,671,680,686,700,707,720,724,737,742,748,756,764,778,785,796,804,806,818,827,834,842,851,863,866,879,885,899,901,913,922,927,935,944,951,967,975,978,991,1000,1004,1016,1025,1033,1043,1053,1060,1066,1077,1080,1090,1097,1112,1120,1125,1136,1141,1155,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,24,33,35,44,58,65,74,77,92,94,106,116,125,136,137,152,155,167,176,318,322,330,339,352,355,365,372,378,386,395,405,419,429,436,439,597,607,612,626,628,640,651,655,668,674,686,688,695,711,714,724,733,740,752,760,770,774,783,789,805,813,821,827,833,840,856,858,869,878,890,895,905,912,920,926,935,944,958,965,970,980,993,998,1004,1011,1019,1029,1044,1045,1055,1069,1075,1084,1089,1102,1111,1120,1128,1133,1145,1151,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,24,32,35,44,52,60,69,77,93,99,102,112,120,134,138,146,154,167,177,197,325,330,341,348,353,368,373,380,386,399,403,418,425,436,443,597,602,617,622,632,635,647,654,662,676,679,690,695,703,718,726,735,745,754,757,766,777,787,794,803,808,818,825,839,844,850,865,867,875,889,897,901,916,925,933,934,944,952,963,973,977,985,998,1006,1015,1026,1034,1042,1047,1058,1065,1072,1081,1095,1097,1109,1119,1130,1137,1144,1153,1162,1168,1174	1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,15,18,30,35,50,56,63,68,78,88,98,103,111,123,131,138,151,155,170,174,184,321,333,338,348,358,366,374,378,394,402,409,416,425,436,443,596,601,609,621,626,639,648,659,660,672,678,692,697,703,716,723,737,738,753,758,770,775,785,794,799,810,822,823,839,843,851,865,869,879,886,896,906,916,920,933,938,945,957,962,968,977,991,997,1007,1017,1025,1032,1040,1048,1061,1070,1073,1086,1090,1100,1113,1119,1129,1138,1140,1153,1160,1172,1175	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,24,32,35,49,56,63,68,79,91,99,109,115,124,130,138,147,161,169,175,185,321,332,337,348,358,361,371,381,395,400,406,412,425,432,443,599,608,617,623,631,636,647,653,666,676,679,693,694,704,720,725,729,744,748,759,765,779,787,795,805,813,814,828,838,842,855,864,872,874,885,897,905,915,919,925,937,945,954,963,969,982,988,995,1008,1016,1024,1033,1040,1046,1054,1063,1077,1084,1094,1103,1112,1120,1123,1132,1140,1154,1159,1166,1176	1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
4,14,18,29,42,51,57,63,69,78,93,101,109,111,119,131,139,145,154,162,177,179,325,334,340,348,353,366,371,379,392,395,407,412,422,432,447,449,601,615,618,628,640,649,658,667,671,684,693,702,707,718,728,736,738,749,757,765,777,780,792,797,808,822,828,839,843,849,863,870,881,890,892,903,911,923,926,934,943,958,965,968,980,991,998,1004,1018,1026,1034,1037,1049,1053,1064,1079,1080,1092,1101,1112,1121,1129,1135,1144,1150,1157,1171	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,22,33,38,46,51,64,75,77,87,97,107,119,125,133,140,149,156,168,175,185,324,331,342,350,358,366,370,381,388,399,405,414,422,437,443,448,607,612,623,632,642,645,654,666,671,683,691,702,705,718,723,736,743,751,762,766,775,788,794,799,813,817,830,837,841,848,863,866,878,884,892,908,916,919,930,940,944,953,964,973,979,986,995,1003,1012,1022,1032,1038,1046,1060,1069,1075,1084,1090,1096,1107,1119,1122,1130,1140,1148,1158,1170,1176	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
3,14,21,31,37,50,51,68,71,79,88,98,104,111,127,134,140,151,156,166,173,186,324,326,336,345,357,364,372,385,387,397,406,417,427,434,438,598,601,615,622,628,641,651,656,664,670,680,693,696,709,716,728,732,741,754,759,767,779,786,789,802,807,816,829,837,844,854,862,869,880,890,894,908,914,920,926,934,948,951,967,973,983,991,998,1006,1011,1025,1031,1041,1050,1054,1067,1071,1082,1091,1101,1105,1113,1125,1130,1139,1153,1162,1172,1174	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,25,32,35,49,53,64,76,83,86,94,106,115,122,128,140,148,156,170,174,182,320,329,341,346,356,362,374,385,389,396,412,416,422,437,445,468,607,609,621,630,635,645,653,662,673,677,691,696,704,713,721,735,742,750,755,768,774,785,791,803,808,817,831,837,840,854,860,869,875,886,896,906,910,923,931,936,951,954,967,976,978,988,1001,1009,1010,1026,1031,1039,1052,1056,1068,1071,1087,1089,1101,1105,1118,1122,1134,1141,1153,1160,1169,1174	1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,15,22,29,38,45,59,67,75,85,91,100,110,119,127,128,143,145,158,168,174,204,325,332,339,351,358,362,374,380,388,396,411,413,428,437,438,466,602,616,618,634,641,645,652,663,670,684,687,695,705,712,721,730,743,752,762,770,779,788,791,805,814,815,824,832,846,853,859,870,881,887,898,902,913,920,929,935,949,957,963,973,980,991,996,1009,1019,1026,1034,1044,1052,1059,1062,1076,1080,1093,1099,1109,1118,1126,1137,1143,1149,1157,1165	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,24,31,42,45,51,66,70,82,90,100,106,114,126,136,139,145,159,164,173,317,322,328,341,351,357,366,371,386,394,403,409,420,425,436,439,460,603,617,620,626,642,645,656,661,670,683,692,697,707,714,726,734,738,754,759,771,775,780,794,798,810,816,826,831,842,854,858,870,882,886,892,907,910,918,928,935,950,954,966,975,983,989,999,1003,1016,1019,1034,1044,1051,1061,1068,1073,1081,1091,1103,1109,1118,1127,1138,1147,1154,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,30,36,47,58,65,75,82,93,94,109,114,123,136,137,153,158,168,175,182,323,331,343,351,359,366,370,382,392,402,412,419,420,437,438,598,601,610,620,631,641,646,658,663,672,678,692,701,706,712,726,735,744,754,762,768,776,783,792,801,812,818,823,838,844,852,861,868,878,885,895,907,910,921,930,941,946,957,961,970,978,989,1001,1010,1014,1019,1036,1043,1050,1054,1063,1074,1083,1095,1101,1108,1115,1127,1131,1140,1150,1156,1167,1175	1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,25,27,40,43,55,61,72,82,91,95,102,115,125,133,140,153,160,169,170,318,326,327,342,347,360,368,377,385,394,396,404,419,422,432,445,597,608,618,620,633,639,643,653,664,669,678,689,701,709,717,726,730,740,748,761,768,779,783,794,805,808,815,823,838,843,855,859,867,881,886,898,901,909,917,931,936,949,955,964,974,978,987,1001,1005,1018,1021,1034,1043,1048,1061,1067,1073,1080,1095,1101,1110,1118,1123,1134,1139,1149,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,23,27,39,47,55,60,70,77,90,102,109,119,120,128,142,149,161,165,178,184,318,328,342,344,355,363,376,378,390,398,404,416,423,431,444,599,603,610,619,630,642,649,654,663,674,683,687,703,710,714,725,729,745,751,760,769,775,780,796,803,809,818,825,836,846,856,859,870,880,890,896,902,913,917,929,941,945,954,963,975,977,986,998,1009,1019,1025,1031,1042,1053,1060,1068,1077,1085,1094,1102,1105,1115,1129,1136,1143,1152,1159,1169,1177	0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,18,26,35,48,53,62,72,78,86,102,110,115,127,134,137,147,159,169,172,179,318,334,342,350,360,366,371,382,390,399,405,420,421,430,441,599,605,612,624,633,635,643,655,669,670,682,686,697,711,717,727,735,737,749,756,763,778,787,792,797,808,822,830,837,846,853,861,871,880,886,896,904,911,923,927,935,946,952,961,976,982,988,996,1004,1018,1019,1029,1041,1047,1054,1064,1071,1081,1095,1104,1110,1116,1123,1131,1141,1150,1163,1166,1176	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,15,22,34,41,46,54,64,74,81,91,97,105,118,121,132,141,152,159,169,177,184,323,331,341,350,355,369,374,385,393,397,409,415,423,435,442,468,602,612,622,631,641,645,658,667,672,683,692,695,705,712,720,732,740,747,761,767,779,783,791,805,813,817,825,832,846,851,865,870,876,890,899,903,913,923,928,935,947,956,962,973,984,985,999,1004,1017,1020,1034,1036,1050,1057,1065,1073,1087,1095,1099,1107,1118,1126,1136,1147,1152,1161,1170,1173	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,14,19,26,41,43,58,66,70,82,92,101,110,111,121,135,142,150,156,164,175,182,324,327,335,351,356,362,377,383,388,401,412,418,428,430,444,597,601,615,624,626,635,650,652,667,670,683,694,702,710,719,722,730,739,753,758,766,772,785,792,798,809,816,829,833,847,849,857,871,877,888,894,907,911,923,931,935,943,951,963,970,981,986,999,1002,1013,1023,1032,1040,1049,1057,1065,1076,1085,1092,1100,1112,1118,1124,1131,1145,1151,1159,1170	0,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,12,24,28,34,47,51,65,73,84,91,97,105,117,125,133,139,152,160,170,178,317,323,328,337,351,356,364,377,380,389,398,406,417,426,430,442,598,607,617,625,631,642,643,660,666,669,686,691,695,704,715,727,736,739,747,759,770,771,785,791,803,813,819,827,834,842,850,865,871,878,884,891,904,911,923,927,940,942,958,965,972,980,986,1002,1009,1013,1027,1033,1043,1046,1055,1067,1076,1085,1089,1100,1108,1119,1126,1133,1139,1149,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,18,33,36,50,52,65,69,78,90,98,102,118,120,129,139,153,156,170,171,316,323,335,337,345,358,366,372,378,392,397,409,414,425,437,444,471,605,613,626,629,642,645,654,666,676,682,693,701,707,715,722,733,741,752,755,764,774,788,795,805,809,817,829,836,845,855,859,868,875,889,897,908,911,925,930,938,946,958,965,969,981,985,1001,1007,1011,1027,1028,1036,1049,1061,1070,1072,1080,1088,1100,1113,1116,1129,1133,1140,1150,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,17,29,40,45,57,62,71,78,89,97,104,115,127,134,143,145,158,166,173,316,321,334,341,345,356,361,377,379,391,397,406,414,422,430,442,597,602,613,620,626,638,647,654,668,673,685,687,695,708,717,727,732,745,750,762,767,779,787,795,805,806,820,827,839,843,849,857,867,881,883,891,907,909,918,932,937,947,958,961,968,984,992,1001,1010,1014,1021,1035,1037,1048,1057,1063,1078,1079,1090,1101,1106,1114,1123,1136,1142,1154,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,25,37,49,54,66,72,80,93,95,109,116,121,130,144,147,159,169,178,314,324,333,342,345,358,365,375,386,392,399,405,417,422,435,441,468,607,617,622,628,639,648,654,663,675,686,694,700,705,714,724,732,745,753,755,765,776,780,791,799,811,815,830,838,843,855,864,865,878,889,893,906,911,924,932,934,948,956,961,970,977,992,1000,1003,1013,1026,1028,1040,1048,1061,1064,1076,1082,1091,1097,1109,1117,1130,1133,1140,1151,1162,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,30,38,43,53,61,71,77,89,96,107,111,127,133,138,150,158,165,173,315,323,328,340,351,355,363,373,381,394,399,411,413,427,437,442,598,605,609,626,632,637,645,656,667,674,684,691,696,711,719,725,732,741,753,757,770,775,786,795,803,807,814,831,835,843,850,861,869,878,883,899,901,909,919,925,941,946,954,963,973,977,992,997,1006,1018,1026,1029,1042,1046,1053,1068,1077,1086,1094,1102,1106,1114,1122,1137,1143,1150,1164,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,28,37,49,51,64,75,81,92,98,102,111,127,134,142,146,158,168,171,314,325,329,342,345,355,369,370,383,387,400,411,414,423,436,445,596,602,615,624,628,640,644,658,668,675,679,689,699,711,712,724,733,741,751,762,768,773,783,795,803,813,815,827,835,843,850,864,866,877,889,893,899,910,919,930,937,946,956,967,976,979,987,995,1003,1018,1026,1032,1037,1046,1059,1068,1077,1082,1088,1097,1107,1116,1126,1137,1142,1152,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,29,37,51,54,61,76,79,85,94,103,113,122,129,142,148,155,164,176,314,319,331,335,344,359,362,372,380,390,396,403,416,425,436,445,460,602,610,625,631,642,651,659,663,670,680,689,695,706,718,722,736,738,746,756,763,772,787,790,797,812,815,830,833,847,855,860,867,882,886,896,907,916,923,926,935,944,954,962,974,983,993,998,1005,1014,1024,1033,1041,1047,1055,1062,1078,1079,1094,1103,1108,1117,1129,1133,1145,1154,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,31,37,47,59,60,75,80,89,102,104,111,125,132,137,149,155,166,176,316,325,328,337,345,352,365,374,378,388,397,406,414,427,436,446,599,602,612,625,634,641,643,657,663,671,683,688,701,711,712,722,733,742,750,754,766,772,782,794,802,806,820,828,836,840,851,863,870,876,888,893,905,911,924,929,941,944,954,967,972,980,991,996,1007,1012,1024,1027,1042,1050,1060,1067,1071,1084,1087,1102,1111,1115,1124,1133,1139,1151,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,29,34,45,51,67,71,78,88,98,107,113,125,131,142,151,159,166,177,180,325,333,339,352,354,369,370,383,391,395,409,413,428,437,441,600,607,611,623,632,639,651,655,666,674,681,690,697,710,716,723,735,743,753,762,769,775,785,795,801,806,821,826,836,847,853,861,872,880,885,898,907,913,922,927,940,950,955,961,973,981,987,999,1010,1015,1025,1033,1043,1048,1061,1065,1077,1083,1090,1102,1106,1116,1127,1138,1146,1148,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,18,28,35,46,55,66,71,82,86,94,103,114,127,132,139,151,157,167,174,314,324,331,341,352,355,361,370,384,391,396,408,413,423,436,442,450,609,616,620,632,635,648,652,663,673,681,688,698,710,720,723,732,741,753,758,767,779,784,796,800,808,817,829,839,846,849,860,866,877,890,898,903,912,920,929,938,948,959,964,972,984,985,995,1005,1016,1021,1034,1037,1048,1054,1070,1071,1087,1095,1099,1111,1119,1124,1131,1139,1154,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,27,41,49,51,68,69,77,88,94,109,112,126,136,138,149,157,168,171,316,319,332,337,348,355,365,370,380,392,395,407,416,425,432,442,600,603,613,624,634,638,650,658,666,676,684,688,702,708,718,722,733,739,748,755,765,775,785,789,804,810,819,826,834,847,851,864,873,877,884,893,907,912,921,928,939,942,951,967,975,979,986,1000,1005,1017,1022,1031,1036,1046,1056,1070,1075,1080,1092,1100,1107,1114,1129,1137,1146,1151,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,18,32,40,48,51,65,72,83,93,94,102,112,119,132,139,147,160,166,177,318,321,334,340,352,359,366,375,380,391,399,405,416,426,436,438,470,608,616,625,626,642,644,653,664,677,681,688,698,707,720,725,733,743,751,761,768,775,784,792,797,810,815,830,834,844,854,861,866,881,891,897,901,911,918,926,937,942,956,964,974,977,988,996,1006,1013,1025,1035,1044,1046,1056,1064,1074,1082,1090,1104,1111,1121,1130,1137,1144,1150,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,22,33,36,50,52,61,69,80,89,100,105,118,127,130,140,148,154,164,175,314,320,330,339,345,355,361,371,381,388,396,410,415,428,431,439,469,607,612,624,628,635,646,660,666,676,684,689,699,707,714,725,737,744,748,761,763,771,785,794,803,805,814,828,837,847,856,857,874,878,890,897,901,916,922,927,934,945,955,967,971,980,992,1000,1002,1017,1025,1032,1042,1049,1055,1064,1077,1086,1091,1101,1108,1113,1129,1131,1144,1154,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,28,38,44,54,68,76,82,89,98,111,116,125,134,143,145,162,163,178,187,326,334,343,349,353,364,373,378,391,402,410,414,425,434,437,471,608,614,624,626,638,648,654,664,675,679,691,694,711,717,728,737,745,748,758,771,772,786,795,802,809,820,829,837,841,851,859,872,877,884,897,901,914,922,929,935,944,953,961,974,984,988,1001,1004,1012,1021,1031,1042,1046,1057,1065,1076,1084,1095,1104,1107,1118,1129,1131,1146,1154,1156,1171,1175	1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,16,20,27,36,45,54,67,73,82,86,98,106,113,121,129,139,153,159,167,179,313,325,327,337,348,355,363,373,385,390,402,407,415,426,431,440,598,601,609,622,630,643,648,655,663,676,684,689,697,704,713,720,731,744,754,759,771,779,784,792,804,809,821,827,832,845,855,860,866,880,887,892,904,909,917,929,940,948,954,962,972,982,990,996,1010,1015,1024,1029,1037,1048,1055,1069,1074,1082,1091,1098,1109,1119,1124,1137,1144,1153,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,33,37,44,51,63,71,76,88,97,107,116,124,128,138,147,158,163,178,315,320,333,336,345,357,366,375,380,386,401,411,414,422,436,441,600,602,615,618,630,643,648,658,664,676,681,693,699,705,715,721,733,741,750,755,771,779,785,792,803,808,816,826,838,841,854,861,867,877,890,894,905,912,924,926,934,944,952,960,971,981,986,999,1007,1011,1023,1030,1039,1048,1055,1066,1072,1081,1091,1101,1111,1119,1127,1135,1142,1154,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,22,33,38,45,54,60,72,82,92,96,103,114,123,129,140,152,157,163,171,318,323,329,338,345,353,364,377,385,389,401,412,418,422,434,439,596,603,614,626,629,638,646,653,667,670,684,694,699,709,715,723,736,740,752,762,767,776,786,795,802,810,819,829,832,842,852,858,873,880,883,892,902,913,920,930,934,948,956,960,975,978,986,995,1006,1014,1023,1033,1039,1052,1054,1067,1072,1079,1089,1097,1112,1120,1129,1138,1146,1151,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,25,31,36,43,56,65,71,85,89,100,103,111,120,133,143,148,161,163,172,315,324,331,337,347,354,363,377,384,391,399,405,420,426,432,438,447,604,610,619,628,638,651,653,666,675,681,687,697,703,714,723,737,744,751,758,765,775,786,794,805,810,819,826,835,846,854,863,873,874,888,891,906,915,922,929,937,946,952,966,972,983,988,997,1008,1015,1023,1033,1041,1052,1059,1068,1075,1080,1093,1102,1111,1114,1129,1131,1140,1148,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,28,40,42,53,65,69,82,85,99,106,113,124,134,139,153,155,168,177,314,325,331,341,351,358,367,374,378,393,396,409,420,429,434,441,600,604,613,621,629,643,650,654,668,676,678,690,702,704,719,722,737,741,746,761,769,773,786,797,804,811,822,829,831,845,852,857,865,877,884,897,906,911,922,929,939,944,954,961,972,982,989,1002,1005,1018,1021,1036,1044,1046,1060,1065,1072,1080,1090,1102,1111,1120,1130,1133,1144,1154,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,21,30,39,46,51,62,74,79,86,94,104,112,125,134,137,151,156,169,175,317,322,328,337,352,357,368,372,384,391,397,410,417,426,432,444,600,601,611,620,632,639,649,657,664,671,684,693,700,705,712,723,733,742,752,759,770,773,784,793,805,810,821,827,834,840,853,862,866,875,888,896,901,914,924,930,942,950,955,961,968,982,985,993,1010,1018,1027,1031,1040,1051,1057,1069,1078,1083,1088,1097,1108,1118,1122,1130,1140,1154,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,19,32,39,43,52,60,72,85,88,95,103,113,126,129,141,151,161,163,178,314,322,327,338,345,353,361,371,384,394,398,411,412,422,436,443,461,602,613,626,634,640,644,658,668,669,683,691,695,704,714,727,734,743,753,760,766,779,783,794,804,809,817,824,837,848,854,865,869,877,883,897,905,908,917,927,934,945,956,967,975,978,986,994,1003,1018,1025,1034,1038,1049,1060,1064,1078,1084,1093,1100,1107,1114,1123,1130,1146,1149,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,20,31,37,49,56,62,72,83,86,93,105,115,122,136,141,152,155,164,173,316,324,334,339,350,353,366,373,382,386,400,409,412,427,433,441,599,603,615,622,629,638,651,655,662,674,685,687,696,709,720,725,729,742,754,761,767,779,785,791,803,808,816,824,836,846,856,860,869,882,885,898,900,915,920,927,934,947,958,960,970,982,990,997,1007,1015,1020,1036,1044,1048,1060,1067,1078,1079,1091,1101,1109,1120,1126,1133,1146,1149,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,23,30,39,47,51,65,70,80,93,98,105,118,122,133,137,151,156,164,173,313,323,331,335,346,354,367,372,379,392,403,409,412,425,437,439,598,609,613,624,628,638,645,654,667,677,685,689,702,708,712,726,731,745,748,756,766,772,784,789,804,806,821,826,835,846,856,859,870,879,885,899,904,916,918,930,934,948,954,964,970,982,990,995,1004,1016,1024,1034,1042,1052,1058,1065,1076,1084,1094,1103,1106,1117,1124,1130,1141,1148,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,30,34,44,56,61,75,84,93,100,105,111,125,132,144,152,155,167,172,314,320,334,337,351,352,363,372,383,388,401,405,415,426,434,440,453,602,611,626,628,641,643,658,668,674,682,688,703,709,715,720,735,744,751,761,763,776,780,795,805,811,821,828,833,844,853,863,871,878,889,894,902,913,924,932,936,943,955,967,968,981,989,1000,1010,1018,1027,1033,1041,1050,1056,1068,1075,1085,1094,1101,1112,1115,1129,1134,1145,1154,1159,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,29,38,51,57,65,70,77,90,101,106,116,124,128,141,151,157,169,176,314,326,332,341,352,359,366,372,386,394,395,411,416,422,431,443,598,608,615,620,627,640,651,655,661,670,681,687,698,709,718,725,734,742,753,756,766,778,786,793,800,810,814,828,839,848,850,858,868,876,884,891,904,914,920,928,941,943,958,963,976,977,993,1000,1006,1013,1022,1035,1039,1051,1062,1067,1078,1080,1088,1103,1110,1121,1127,1133,1140,1153,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,26,40,45,52,66,72,79,91,99,107,117,119,132,142,152,157,169,176,314,320,334,338,347,353,361,371,381,394,399,404,416,426,432,439,596,603,611,625,631,638,645,652,662,672,678,687,701,710,716,724,737,738,751,762,770,772,787,791,805,806,814,828,835,842,853,863,870,880,890,893,901,908,920,928,939,950,952,959,971,984,992,999,1005,1015,1022,1035,1037,1049,1053,1062,1075,1080,1089,1100,1113,1120,1124,1130,1147,1153,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,26,35,49,55,66,69,82,92,99,106,113,121,133,144,146,158,164,173,186,318,331,342,349,355,362,370,379,392,399,411,414,426,435,437,599,606,616,625,628,638,645,653,661,671,678,686,696,703,713,727,730,737,750,760,765,775,788,795,797,808,819,824,833,845,853,863,867,879,889,897,906,912,922,933,937,944,953,960,969,983,988,996,1003,1019,1021,1033,1037,1045,1054,1062,1073,1083,1088,1102,1109,1120,1126,1130,1146,1147,1156,1172,1175	1,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,20,32,34,50,54,66,75,79,92,95,106,111,127,136,142,145,158,166,178,180,320,333,339,348,352,368,372,384,392,398,411,415,426,437,440,600,604,615,619,627,635,645,656,662,673,686,691,700,711,717,724,730,741,752,759,763,772,783,789,804,811,821,829,836,848,854,860,873,874,889,891,907,913,920,928,937,944,953,965,975,979,992,995,1006,1011,1020,1031,1040,1045,1055,1068,1073,1084,1093,1096,1108,1118,1123,1134,1143,1154,1160,1169	1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,18,26,36,47,54,62,70,85,90,96,105,112,122,130,137,145,161,163,174,181,321,332,336,347,358,364,373,380,388,395,411,419,422,431,439,598,605,613,618,632,636,646,659,664,676,684,693,697,711,717,723,732,745,753,756,768,772,784,793,798,808,817,823,837,846,853,864,866,876,883,892,905,909,920,930,936,945,953,961,968,983,988,997,1007,1016,1026,1030,1043,1053,1061,1068,1071,1086,1088,1096,1109,1115,1128,1130,1146,1154,1163,1166,1177	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,21,28,40,43,54,63,76,83,89,99,106,118,120,134,137,145,154,169,175,192,324,335,339,348,356,362,376,378,394,403,405,414,423,429,438,599,608,611,622,634,641,648,656,666,673,686,694,702,705,713,722,734,739,746,755,764,775,784,790,799,810,815,827,833,845,850,857,866,881,888,897,906,913,919,931,936,944,954,959,971,976,987,996,1010,1017,1026,1032,1038,1045,1053,1067,1074,1080,1087,1103,1109,1118,1126,1135,1145,1150,1163,1168,1177	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0
1,12,22,30,40,51,57,60,75,79,88,94,106,113,123,134,144,147,154,162,174,180,319,332,339,352,353,361,376,380,392,403,409,415,421,429,442,600,601,617,621,628,635,650,656,666,674,682,690,694,704,720,724,733,742,754,759,765,779,784,790,802,810,817,827,836,842,855,864,865,876,886,891,904,908,919,931,942,950,953,961,969,978,993,998,1005,1018,1025,1035,1044,1050,1053,1066,1074,1079,1088,1099,1109,1115,1128,1134,1146,1153,1163,1169,1175	0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,22,25,38,43,51,67,72,79,92,101,110,114,121,131,139,150,161,169,177,203,320,331,340,351,358,363,372,379,391,398,407,418,428,429,444,461,606,614,623,633,636,644,656,669,673,678,687,696,706,717,725,734,739,749,760,766,777,786,794,800,813,821,830,833,847,856,860,866,878,885,896,901,913,923,933,935,949,958,959,969,981,992,996,1007,1013,1026,1035,1040,1052,1053,1062,1074,1080,1088,1098,1105,1121,1129,1138,1141,1152,1160,1167,1175	0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,12,23,33,42,47,54,61,76,83,92,96,106,114,124,128,140,147,160,170,178,179,324,329,335,349,360,367,372,383,393,401,407,414,423,434,441,599,603,612,625,633,639,648,653,663,675,685,693,699,705,719,726,731,745,746,762,770,778,787,794,798,806,820,829,835,841,852,857,870,879,889,891,904,910,923,930,938,944,955,962,976,981,992,994,1008,1017,1021,1033,1042,1053,1057,1066,1074,1082,1095,1101,1107,1116,1123,1137,1139,1148,1156,1169,1176	0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
2,16,18,30,36,49,56,67,76,80,86,94,107,119,123,129,141,147,160,168,178,183,322,328,336,347,354,365,376,384,390,398,412,413,422,430,443,596,607,615,625,627,642,645,659,661,671,685,687,702,706,714,723,729,742,746,762,763,774,785,793,799,808,814,826,837,845,849,859,867,875,883,892,903,910,924,926,940,945,956,963,968,984,992,994,1006,1013,1023,1030,1040,1050,1054,1067,1077,1082,1091,1099,1108,1120,1124,1136,1140,1151,1160,1170,1175	0,1,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,22,28,38,49,53,66,73,77,86,96,105,119,127,131,140,152,154,167,174,316,323,332,341,348,353,362,377,378,392,403,406,417,428,436,445,598,607,614,618,631,642,647,655,665,670,680,690,695,710,718,727,733,745,752,757,768,773,782,796,800,812,819,829,839,847,854,860,873,880,883,898,900,912,916,925,939,946,956,961,975,982,991,1000,1006,1017,1022,1028,1043,1045,1060,1068,1076,1083,1088,1099,1106,1113,1123,1131,1145,1150,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,29,37,51,55,63,71,77,90,101,103,118,123,129,138,152,157,163,175,184,325,330,336,348,357,362,375,381,391,402,406,413,426,433,441,466,608,616,619,629,636,646,655,660,670,678,687,695,703,718,727,734,739,748,757,771,778,784,797,798,811,822,827,839,845,856,864,869,877,891,892,900,910,922,928,936,948,951,966,975,980,986,996,1005,1012,1026,1033,1043,1049,1060,1068,1078,1079,1088,1096,1107,1120,1129,1131,1139,1148,1160,1165	0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
7,14,22,30,36,48,56,60,75,83,89,100,107,118,124,135,138,145,157,169,173,179,321,327,340,348,353,361,376,380,391,400,408,413,426,437,439,465,605,609,619,627,639,648,659,664,669,678,689,701,706,712,720,736,741,752,759,770,779,787,790,803,807,816,830,836,847,850,858,868,878,883,895,904,911,917,928,940,948,953,964,972,984,992,1000,1009,1014,1025,1033,1043,1049,1059,1064,1078,1087,1089,1103,1106,1113,1122,1136,1143,1154,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,15,25,30,36,45,57,63,69,82,93,99,103,116,119,128,139,146,159,164,179,185,323,332,336,348,360,369,372,380,390,397,409,416,427,437,443,467,601,611,621,628,642,645,660,668,672,682,686,700,706,716,721,734,738,746,755,767,773,783,791,801,809,820,826,833,845,855,862,868,882,889,892,900,911,922,928,934,943,957,967,975,977,988,997,1002,1011,1022,1034,1041,1053,1056,1063,1072,1084,1091,1102,1110,1116,1129,1138,1145,1155,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,19,33,40,50,51,67,73,84,92,99,104,113,119,129,144,146,158,169,171,187,319,334,338,347,358,362,373,384,387,401,409,415,426,435,439,598,603,616,619,633,638,650,652,667,670,677,688,702,710,717,728,735,743,750,760,766,776,785,794,801,813,816,825,835,842,854,864,871,876,890,896,903,909,921,933,937,949,957,962,970,978,989,995,1006,1017,1027,1031,1037,1049,1056,1069,1075,1082,1094,1098,1110,1120,1122,1137,1145,1150,1162,1172,1176	1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
6,13,20,29,40,44,58,61,74,77,86,97,109,111,120,134,139,152,154,166,175,180,323,333,336,344,359,365,373,383,394,399,404,420,421,436,439,598,603,617,620,630,637,645,652,660,676,678,686,697,706,712,720,731,738,747,762,768,773,783,788,798,812,821,823,832,841,853,858,872,875,889,895,906,913,919,927,941,949,954,964,970,983,986,998,1008,1014,1020,1029,1040,1049,1054,1064,1071,1085,1088,1097,1105,1114,1124,1138,1142,1154,1160,1167,1174	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,24,32,41,47,52,68,74,84,85,94,104,112,124,130,142,150,154,169,177,184,323,330,337,348,357,364,374,385,386,399,404,418,429,436,441,599,606,616,623,627,641,647,655,661,670,679,686,700,709,711,723,732,738,750,760,769,776,780,795,805,808,818,828,839,844,852,860,873,877,884,894,901,909,917,929,938,943,958,966,974,978,991,994,1007,1016,1024,1031,1038,1047,1057,1068,1072,1086,1089,1100,1109,1115,1130,1131,1141,1150,1158,1167	1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,24,33,36,44,53,65,68,80,91,99,105,112,126,128,138,151,153,164,174,313,321,327,339,345,355,367,376,384,387,402,408,418,426,431,442,459,608,613,624,627,640,645,652,669,673,684,688,699,703,714,728,732,745,752,758,763,776,785,794,804,806,821,825,838,844,856,860,869,874,883,894,900,910,923,928,937,950,959,964,973,978,985,998,1007,1013,1024,1033,1044,1047,1056,1068,1072,1083,1091,1103,1106,1113,1128,1133,1142,1151,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,23,29,36,45,54,63,69,82,90,99,103,119,120,134,138,150,155,169,171,314,324,332,336,352,355,363,374,383,386,400,409,415,422,437,439,599,605,612,624,626,636,645,656,668,672,678,692,696,706,714,722,732,739,749,757,770,777,785,793,802,814,821,823,832,842,850,863,872,875,891,895,905,914,922,925,936,944,955,966,974,983,988,998,1004,1014,1023,1030,1044,1045,1061,1065,1077,1087,1092,1100,1108,1114,1125,1136,1142,1154,1157,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,33,41,48,51,60,73,79,87,94,102,116,122,135,140,145,154,164,173,314,322,330,341,345,355,366,375,378,392,402,411,415,426,430,441,599,601,617,625,627,641,649,652,667,675,683,689,699,708,712,727,729,739,751,761,769,773,786,794,804,812,819,828,838,841,849,864,870,878,886,898,900,914,925,930,939,947,958,962,974,981,985,1002,1005,1015,1020,1035,1044,1051,1061,1064,1075,1079,1090,1097,1105,1114,1128,1136,1144,1153,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,32,42,50,55,63,70,80,91,94,108,113,125,130,137,146,160,169,176,317,322,327,340,352,353,361,375,379,393,400,407,420,425,431,441,469,609,616,619,626,635,645,653,668,672,679,689,697,704,715,728,731,738,753,758,764,774,785,796,797,811,822,827,835,842,850,859,866,877,888,899,902,914,917,930,937,943,951,965,974,979,989,996,1002,1016,1023,1033,1038,1051,1058,1063,1077,1084,1092,1100,1112,1114,1127,1133,1141,1151,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,31,39,45,53,65,76,82,86,97,109,118,122,131,140,152,157,167,175,315,326,335,338,351,354,364,374,379,393,396,411,414,423,431,440,598,601,615,626,629,638,649,652,665,669,684,692,697,706,716,725,730,741,750,760,767,773,782,789,797,808,822,830,833,848,850,859,868,882,889,897,900,913,919,930,935,949,953,962,970,984,988,1002,1006,1016,1021,1030,1037,1050,1061,1063,1072,1080,1088,1102,1111,1117,1123,1136,1141,1154,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,31,35,43,51,62,69,81,89,94,103,114,126,135,142,151,157,165,176,313,325,332,337,347,357,365,376,379,389,396,410,414,422,434,441,466,608,610,622,628,640,648,658,665,672,681,693,699,704,714,724,731,745,749,755,767,778,786,793,801,811,818,825,832,841,853,857,866,877,890,899,900,916,919,926,935,948,951,962,969,979,985,999,1004,1019,1025,1034,1044,1049,1059,1067,1074,1086,1090,1104,1108,1121,1122,1134,1140,1152,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,34,39,49,55,61,75,80,91,95,103,115,125,132,137,147,157,162,171,313,321,334,339,344,357,368,371,383,387,400,408,416,421,433,438,597,602,613,619,632,640,648,659,663,670,684,687,700,710,712,721,729,743,747,760,771,779,782,789,803,811,814,827,835,847,849,858,866,881,885,898,905,909,925,928,939,944,957,964,973,983,991,999,1009,1018,1021,1035,1039,1047,1058,1067,1072,1081,1091,1101,1108,1118,1122,1135,1139,1148,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,32,35,45,56,63,71,79,88,94,106,116,119,130,136,150,159,166,177,314,322,333,337,350,355,363,374,382,387,403,405,417,421,434,446,599,603,611,623,627,642,643,659,665,673,683,693,699,709,713,721,737,744,746,759,767,773,782,791,803,812,822,823,833,846,855,859,873,881,883,895,902,910,917,928,935,950,953,967,971,976,985,1000,1007,1017,1026,1032,1039,1047,1058,1068,1075,1083,1089,1102,1108,1119,1124,1133,1144,1150,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,23,26,36,50,53,68,74,77,90,96,108,111,121,128,142,153,155,165,173,182,318,328,338,346,352,367,376,384,388,396,404,413,425,434,445,598,604,614,625,632,638,648,656,661,673,681,690,698,706,717,721,729,739,753,757,764,773,783,792,799,812,821,823,834,843,856,859,866,881,887,891,901,910,922,931,938,945,958,964,976,980,992,997,1010,1015,1019,1030,1038,1053,1058,1066,1075,1081,1094,1098,1112,1118,1124,1136,1139,1152,1161,1168	1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,21,28,37,50,55,64,71,77,89,97,104,113,123,128,138,146,159,169,176,318,319,327,337,344,360,362,377,381,391,396,409,414,421,431,438,596,605,614,620,631,638,648,655,661,670,680,693,695,704,713,722,732,738,749,756,763,778,783,797,803,806,815,831,838,841,849,863,872,875,884,896,901,916,917,926,936,947,957,965,970,977,992,1001,1007,1012,1023,1028,1039,1052,1061,1062,1075,1087,1090,1104,1111,1116,1128,1133,1141,1155,1164,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,18,27,39,45,56,63,71,78,91,97,104,114,120,128,144,153,157,169,174,313,324,329,338,345,355,362,375,380,393,403,405,417,423,437,443,599,609,615,621,634,642,646,659,665,670,683,690,702,710,716,725,736,743,749,758,764,773,788,794,798,806,820,829,837,844,854,858,870,876,883,897,904,911,917,929,938,950,957,963,973,979,986,997,1005,1018,1019,1035,1043,1051,1061,1063,1076,1079,1093,1096,1111,1120,1130,1138,1143,1152,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,18,30,35,44,52,62,76,84,88,96,109,115,120,128,137,152,157,165,174,316,326,334,342,350,359,369,371,382,393,396,409,416,426,436,441,451,602,612,623,629,637,644,652,661,675,678,689,695,710,719,727,734,744,749,760,763,771,782,791,798,807,816,828,836,846,852,864,866,882,890,894,900,910,919,932,936,944,953,963,970,977,986,1001,1009,1017,1023,1028,1040,1052,1059,1067,1073,1086,1090,1100,1112,1120,1127,1138,1144,1155,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,19,26,42,45,58,60,72,83,90,99,105,112,122,130,139,147,154,169,178,316,326,334,338,349,354,361,370,379,387,396,404,419,425,435,439,598,609,610,626,631,635,650,658,669,677,682,686,700,708,714,721,731,740,754,759,763,776,785,790,802,806,814,827,832,844,856,860,872,879,883,896,903,914,921,926,939,943,957,965,972,980,989,1000,1004,1015,1025,1029,1038,1050,1060,1062,1070,1082,1094,1103,1106,1114,1127,1135,1140,1149,1163,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,33,37,43,53,66,76,84,91,97,105,118,124,134,143,146,155,166,172,182,326,329,343,346,358,366,374,384,391,398,407,419,428,432,438,453,608,612,619,633,638,646,656,660,671,683,689,699,711,715,721,737,738,750,757,769,779,780,796,803,811,817,827,838,848,852,858,871,878,885,899,907,914,920,925,935,944,958,967,973,976,989,997,1009,1015,1027,1032,1043,1052,1058,1065,1075,1085,1089,1103,1110,1121,1129,1138,1141,1152,1161,1169,1173	1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,9,21,30,40,45,51,62,68,77,87,96,108,117,124,135,141,150,155,170,174,314,320,327,341,346,358,367,372,379,392,403,408,417,424,430,442,469,605,613,625,628,638,649,652,668,672,684,688,699,710,715,726,733,743,748,757,764,774,786,795,802,807,815,823,837,848,856,862,870,880,885,891,904,910,922,927,938,943,953,962,971,983,987,996,1008,1013,1020,1028,1043,1050,1053,1065,1071,1080,1089,1097,1110,1116,1124,1136,1139,1150,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,18,26,40,47,55,68,72,81,87,97,110,115,126,133,141,150,156,163,179,317,324,330,337,344,356,366,371,378,391,403,408,413,421,436,445,599,607,617,624,631,638,651,652,668,671,684,693,702,710,719,726,734,737,746,761,767,778,780,795,805,811,818,824,837,841,853,859,868,875,884,893,905,915,921,926,935,947,953,967,972,981,991,998,1007,1011,1026,1034,1041,1049,1056,1067,1070,1085,1088,1104,1106,1114,1123,1137,1144,1149,1164,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,20,27,36,45,54,66,75,82,90,95,108,111,125,129,140,153,155,164,171,314,323,332,338,347,359,364,369,378,390,402,403,414,426,433,438,599,607,611,622,632,640,649,656,668,672,683,694,699,703,715,725,734,740,750,758,765,774,785,794,804,808,818,825,833,844,855,864,868,882,891,896,907,914,923,932,936,947,958,960,975,984,991,994,1003,1016,1020,1029,1043,1045,1058,1064,1071,1081,1094,1096,1113,1119,1124,1135,1142,1152,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,18,32,35,46,58,65,73,82,89,97,106,112,123,131,144,152,155,164,171,316,319,335,338,344,359,364,374,378,391,397,411,415,421,435,440,598,604,617,622,627,641,644,660,668,676,682,691,697,704,717,723,734,740,751,756,766,774,785,790,797,806,817,829,832,845,855,857,871,876,886,896,902,909,924,929,937,949,952,960,974,978,989,1002,1003,1017,1022,1029,1038,1045,1059,1067,1071,1080,1090,1101,1111,1115,1129,1135,1142,1148,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,27,40,50,56,61,72,77,87,98,107,114,125,130,143,147,157,166,171,315,318,331,340,351,359,364,372,383,392,400,408,413,428,430,442,597,605,612,624,631,641,643,657,665,669,685,693,697,711,718,725,736,744,752,760,765,775,783,789,797,812,818,830,835,845,854,863,869,878,886,891,906,911,923,932,936,945,951,962,973,981,986,999,1007,1017,1022,1031,1042,1050,1057,1068,1075,1084,1089,1101,1112,1118,1121,1133,1143,1148,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,25,35,47,53,65,69,77,93,99,105,117,119,131,144,152,161,163,178,316,325,333,340,346,360,363,371,381,388,401,408,418,428,435,446,459,608,614,624,629,641,648,652,663,673,686,691,700,704,716,727,735,739,750,759,764,772,785,790,805,806,816,827,834,847,851,859,872,876,890,897,903,912,922,928,936,948,957,961,976,979,992,998,1008,1018,1019,1032,1040,1047,1061,1065,1079,1084,1095,1103,1107,1120,1124,1137,1143,1154,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,28,40,44,57,61,69,79,87,98,107,114,127,128,139,145,159,163,175,315,323,329,343,344,360,363,376,379,388,403,411,420,428,430,444,596,609,612,619,626,637,647,652,666,672,680,687,700,704,715,722,731,740,748,762,771,776,786,791,800,812,817,826,834,846,848,858,871,879,886,898,907,914,919,933,935,950,955,966,973,982,986,1000,1003,1012,1024,1036,1040,1046,1055,1065,1071,1085,1096,1098,1111,1116,1126,1132,1139,1151,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,26,38,43,51,64,73,81,92,95,109,117,120,130,141,150,161,169,174,314,325,332,337,347,355,369,377,385,388,401,407,417,423,435,444,596,607,613,620,627,642,647,656,663,671,685,692,698,707,714,726,733,738,751,757,768,775,781,794,805,811,814,824,836,844,851,864,873,875,886,898,901,910,918,929,938,947,957,967,975,980,989,996,1009,1014,1020,1028,1036,1050,1059,1070,1076,1084,1089,1100,1111,1117,1124,1135,1146,1152,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,29,37,45,53,63,73,79,88,102,109,114,123,132,143,147,159,168,173,316,320,334,336,348,354,368,374,381,392,396,407,416,425,433,446,468,605,616,622,628,636,644,656,665,672,686,690,695,704,719,722,729,745,754,759,771,776,781,790,801,810,819,830,833,848,850,861,868,881,889,892,905,913,923,928,937,944,958,964,973,984,985,996,1003,1011,1020,1034,1037,1046,1055,1068,1071,1086,1091,1099,1109,1116,1126,1132,1146,1150,1160,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,19,32,38,44,54,62,69,81,91,96,106,118,120,130,144,148,161,165,174,317,322,331,335,348,354,362,374,385,387,396,405,412,424,430,445,597,607,610,625,628,636,649,658,666,676,686,688,697,704,717,721,735,744,749,760,765,775,782,789,805,809,818,830,834,844,854,861,867,878,884,896,902,910,919,929,938,951,956,963,972,983,989,996,1004,1016,1021,1029,1038,1045,1054,1067,1071,1079,1092,1098,1111,1119,1122,1134,1145,1150,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,32,42,50,58,64,73,77,86,98,102,113,126,134,143,150,154,169,173,316,325,331,336,347,359,366,374,381,393,395,404,415,427,432,441,598,603,612,625,627,638,644,654,661,671,680,691,702,709,717,726,732,739,748,762,763,778,783,796,801,807,814,830,833,846,856,862,869,878,889,898,903,915,923,927,935,950,958,964,970,978,985,998,1005,1017,1025,1034,1044,1046,1061,1067,1071,1080,1093,1097,1106,1117,1123,1137,1145,1149,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,17,33,37,46,58,62,72,83,85,93,103,116,120,129,139,148,161,170,176,316,320,334,341,347,358,367,377,378,393,395,405,413,421,432,438,599,603,615,623,632,637,650,659,668,676,686,691,696,709,717,722,733,738,750,761,764,780,782,796,797,808,816,829,835,842,855,864,865,879,890,893,907,910,920,932,934,947,951,960,974,981,990,998,1009,1017,1023,1033,1042,1053,1060,1070,1078,1082,1095,1101,1110,1116,1122,1136,1141,1149,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,17,28,34,51,52,61,73,82,91,95,108,117,124,130,137,145,156,170,173,186,324,334,338,345,359,367,377,383,393,398,408,416,423,436,442,597,609,613,619,629,642,648,660,661,676,680,692,700,708,715,725,729,738,751,755,764,779,784,796,804,811,817,827,834,840,853,865,867,875,883,895,907,916,917,928,934,949,951,967,968,983,985,997,1009,1013,1027,1032,1043,1049,1058,1064,1075,1081,1094,1104,1106,1121,1125,1131,1143,1151,1159,1169,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,9,20,29,35,47,55,63,70,84,89,94,109,118,124,129,141,148,155,168,172,186,320,330,342,351,353,362,371,382,394,397,411,416,422,430,444,598,604,612,619,627,638,646,657,664,676,678,693,699,709,719,720,736,741,748,754,765,773,782,788,804,812,815,827,837,840,856,862,870,876,882,896,906,916,918,928,940,943,958,963,974,978,988,998,1010,1015,1025,1029,1043,1053,1060,1062,1073,1080,1093,1097,1106,1120,1129,1131,1140,1151,1157,1168,1176	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,21,31,36,45,56,61,75,78,86,96,106,115,127,131,142,152,157,163,178,181,318,327,339,345,354,363,371,384,393,397,407,418,425,431,439,465,608,614,618,631,639,649,653,660,672,680,692,699,704,717,727,730,739,748,756,765,776,788,789,803,813,819,831,838,846,851,862,867,881,889,895,903,914,921,926,940,950,951,962,971,977,993,998,1006,1014,1022,1030,1038,1047,1059,1067,1078,1086,1095,1104,1106,1119,1127,1138,1139,1148,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,21,33,39,44,51,61,76,84,85,96,105,117,123,129,143,150,160,168,177,179,324,334,342,347,360,364,371,381,394,397,409,414,421,436,440,466,600,617,621,627,643,647,655,667,676,681,688,701,708,718,724,734,740,748,754,763,776,781,793,803,809,822,825,832,842,849,864,868,875,890,893,902,910,919,929,938,947,957,966,974,978,989,996,1010,1018,1023,1036,1043,1049,1061,1069,1076,1081,1092,1100,1113,1119,1127,1133,1144,1148,1160,1172,1173	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,22,32,36,45,53,65,71,79,88,95,104,117,123,132,136,147,156,169,178,180,322,327,341,347,353,363,370,384,391,402,408,418,427,434,441,597,606,610,619,630,643,645,657,661,675,678,693,695,711,712,726,736,739,753,761,765,778,785,790,804,810,818,830,832,840,850,862,870,878,885,896,908,916,917,929,942,949,958,963,974,982,988,993,1007,1013,1023,1032,1041,1047,1055,1067,1074,1080,1094,1096,1106,1120,1123,1136,1143,1151,1161,1166,1175	1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,12,23,31,35,46,56,64,73,81,90,98,108,119,120,134,137,151,160,169,174,182,322,327,338,347,352,365,377,378,393,396,412,416,422,429,443,448,604,612,624,629,641,645,654,666,674,678,691,700,705,712,726,730,738,748,760,769,772,783,791,798,811,815,829,839,844,856,858,871,875,885,892,904,909,923,929,938,950,954,962,973,977,991,995,1007,1015,1020,1032,1038,1046,1055,1069,1077,1086,1092,1103,1105,1114,1130,1135,1139,1149,1158,1168,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,25,29,42,46,54,63,71,80,87,96,106,117,126,133,145,151,154,166,174,181,319,334,343,346,354,365,371,379,391,398,410,417,424,432,444,468,603,613,623,627,635,646,658,666,675,678,691,701,704,712,720,736,745,754,761,766,778,782,794,802,809,820,827,839,845,852,862,866,880,889,897,902,909,917,931,941,945,957,959,974,977,986,998,1005,1014,1024,1031,1040,1046,1060,1069,1078,1087,1094,1101,1111,1120,1129,1138,1142,1155,1164,1171,1176	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
5,13,19,26,38,44,54,67,68,85,87,93,107,115,121,135,141,147,154,167,178,181,319,330,341,344,352,365,371,384,391,402,405,413,426,430,443,463,607,609,625,633,635,648,657,665,673,685,692,696,709,714,721,735,744,747,762,765,776,787,794,804,807,821,828,836,843,854,862,867,879,890,895,906,916,918,927,938,949,954,960,968,979,989,995,1010,1017,1019,1034,1040,1047,1060,1064,1076,1081,1095,1099,1107,1113,1127,1138,1140,1150,1161,1168,1175	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,20,28,35,44,56,66,72,77,88,101,104,115,127,135,143,148,159,170,177,318,323,330,343,345,359,361,371,379,393,402,411,418,423,433,438,600,606,610,620,629,637,645,655,661,670,686,691,698,706,716,726,732,745,750,758,769,780,782,795,800,807,819,829,837,840,855,863,870,880,888,894,906,912,922,929,940,944,955,967,975,984,991,999,1004,1014,1023,1031,1044,1047,1055,1068,1076,1086,1092,1100,1109,1117,1129,1130,1141,1147,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,32,42,46,52,60,76,78,88,96,108,118,123,130,140,147,160,169,172,184,323,328,343,349,359,368,372,385,392,399,411,412,424,436,438,447,605,617,623,632,635,649,658,664,671,678,694,698,705,719,720,733,740,748,757,767,772,786,789,802,814,817,823,832,847,853,862,866,880,882,896,900,911,920,928,936,946,956,965,973,978,991,997,1006,1013,1027,1031,1042,1051,1059,1066,1076,1084,1095,1101,1113,1118,1122,1134,1144,1155,1158,1168,1178	1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,19,26,41,43,53,60,74,80,90,102,110,114,126,133,144,151,158,165,175,183,321,326,339,348,360,368,369,381,389,399,410,418,426,432,441,598,605,610,618,632,638,649,654,667,671,680,688,701,705,716,724,734,745,748,757,770,776,781,796,801,810,820,829,838,847,851,865,868,879,884,896,908,916,920,933,939,947,957,960,974,976,989,996,1007,1017,1025,1034,1044,1046,1057,1070,1077,1082,1092,1103,1111,1115,1123,1134,1144,1152,1161,1170,1177	1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,16,24,29,37,44,53,62,73,80,92,96,106,117,127,132,144,146,153,162,172,180,320,334,342,344,358,364,369,383,392,401,406,413,425,432,442,600,605,610,621,633,640,647,652,666,673,678,692,697,711,712,723,733,745,748,759,766,777,781,792,799,809,817,827,832,845,855,860,873,881,886,893,900,910,921,930,934,944,958,963,974,981,991,994,1008,1013,1024,1032,1039,1053,1060,1068,1074,1079,1089,1101,1105,1117,1127,1132,1146,1148,1160,1167,1177	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
5,8,23,33,38,49,55,67,70,78,86,99,103,115,122,136,140,152,162,163,176,182,322,335,343,347,360,363,369,379,388,403,409,412,424,437,442,596,608,617,621,630,640,645,658,664,670,679,692,698,706,713,725,734,738,748,762,763,775,781,791,801,812,822,825,837,843,850,865,871,875,883,894,901,911,919,933,938,950,956,967,976,981,988,998,1010,1013,1021,1029,1040,1051,1053,1067,1070,1085,1093,1098,1106,1113,1130,1135,1143,1153,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
6,13,24,27,39,47,55,61,69,83,93,101,107,118,124,131,139,152,160,170,177,183,323,331,339,350,353,361,376,380,389,402,405,419,423,435,438,466,602,615,623,632,635,644,657,661,669,680,692,703,705,712,726,729,745,746,758,770,778,784,795,798,814,822,825,836,845,853,863,873,881,889,899,903,914,924,927,936,945,957,961,969,985,988,994,1007,1012,1023,1033,1038,1047,1057,1068,1079,1082,1094,1101,1112,1115,1130,1138,1139,1152,1164,1168,1173	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,10,18,26,36,46,54,64,74,79,90,98,106,116,127,132,139,146,160,170,173,183,324,329,341,346,360,365,372,382,392,398,406,416,423,431,444,598,608,614,623,631,640,644,653,665,671,683,694,697,709,714,726,732,742,748,756,763,775,785,790,800,809,820,829,839,846,855,864,870,878,889,897,901,914,917,932,938,948,956,967,972,985,987,999,1005,1015,1025,1033,1042,1052,1061,1066,1071,1085,1091,1098,1106,1117,1130,1133,1144,1154,1163,1166,1175	0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,18,29,38,45,56,67,69,77,87,101,109,112,122,134,136,146,159,166,175,317,321,332,339,349,355,368,377,379,391,399,407,415,425,430,439,597,607,610,620,628,635,645,652,664,674,681,689,701,710,712,724,729,744,747,761,770,779,783,797,803,811,821,829,839,842,854,865,873,881,889,894,901,916,918,931,938,947,957,965,968,978,989,998,1008,1013,1027,1035,1040,1049,1058,1064,1073,1080,1092,1101,1109,1117,1127,1136,1145,1148,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,23,27,35,45,51,60,74,77,86,98,106,112,126,129,142,149,158,170,177,316,323,330,339,347,352,364,370,386,388,399,404,415,423,430,440,597,603,610,625,627,640,646,660,663,675,679,688,700,711,712,721,734,743,751,756,768,772,781,793,798,810,816,826,834,844,853,865,869,878,891,894,901,914,917,930,938,951,957,960,969,977,987,995,1003,1011,1027,1034,1037,1047,1054,1067,1074,1085,1095,1103,1111,1118,1129,1135,1147,1153,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,20,29,36,49,51,63,70,81,92,97,107,119,125,128,137,151,159,167,178,317,325,329,338,345,358,364,374,386,393,403,404,419,427,437,445,597,604,614,622,633,635,646,653,661,670,680,688,697,704,712,722,735,738,750,757,769,777,782,795,797,810,821,826,836,842,856,857,866,881,884,899,908,910,919,932,934,949,954,962,972,976,986,998,1005,1015,1022,1035,1036,1052,1058,1068,1074,1081,1087,1104,1110,1116,1129,1131,1139,1154,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,28,40,46,58,66,76,84,92,95,104,119,126,131,143,150,156,165,172,314,326,329,338,344,360,364,370,384,392,398,406,415,427,435,445,463,605,617,620,631,641,650,657,661,677,678,693,701,709,720,723,732,745,754,755,765,776,784,795,805,812,819,823,833,846,850,862,869,877,888,893,905,912,918,931,934,943,952,960,974,976,986,997,1005,1012,1020,1034,1041,1051,1060,1064,1075,1083,1093,1096,1107,1118,1123,1133,1141,1150,1159,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,32,34,49,57,65,69,84,89,99,103,114,127,128,141,146,154,162,176,313,319,328,337,345,356,367,369,379,390,399,410,413,423,437,439,597,603,609,619,631,636,644,660,667,673,684,690,698,711,713,725,734,737,754,762,766,779,787,795,801,812,817,827,835,847,851,859,871,879,887,897,906,914,923,929,938,949,957,965,971,981,985,1000,1010,1015,1027,1032,1043,1045,1054,1070,1074,1084,1094,1100,1111,1113,1122,1134,1139,1150,1157,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,18,32,35,45,52,64,76,85,86,94,103,111,120,132,139,149,154,165,172,314,321,334,343,345,355,367,376,382,393,399,411,417,426,433,445,453,604,617,623,628,639,651,658,663,674,678,690,701,707,719,721,735,743,752,758,771,773,785,791,800,812,814,828,835,844,849,863,866,881,888,895,901,912,921,928,936,943,952,965,972,978,985,995,1008,1015,1025,1028,1040,1053,1058,1068,1073,1083,1091,1096,1106,1114,1126,1131,1146,1149,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,25,38,48,56,67,70,84,88,102,103,113,124,134,137,152,158,162,177,316,322,330,336,352,354,368,370,381,390,400,404,418,426,431,444,469,605,614,618,630,636,644,659,662,673,678,687,700,703,713,722,731,741,751,760,766,774,785,795,805,812,818,822,838,843,856,861,870,881,890,896,907,916,923,932,936,950,956,962,970,980,991,993,1003,1013,1020,1035,1039,1048,1057,1066,1074,1083,1089,1104,1107,1118,1123,1131,1144,1147,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,28,40,49,53,65,71,83,89,98,105,115,124,132,139,145,156,167,178,317,323,327,341,351,360,369,377,386,394,398,409,413,426,433,438,599,608,617,618,630,639,649,655,666,676,678,693,698,710,713,720,736,744,747,762,771,773,784,795,797,811,819,826,837,847,854,865,873,882,888,899,908,912,921,926,941,942,959,961,974,984,987,997,1007,1018,1021,1033,1043,1051,1058,1062,1076,1079,1089,1104,1113,1115,1125,1133,1146,1149,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,30,40,48,51,63,72,83,87,96,109,116,126,129,140,150,160,163,177,182,322,334,338,344,359,369,372,386,394,403,407,418,422,429,444,457,601,612,620,627,636,649,657,662,675,683,688,701,704,717,720,732,738,749,757,767,778,782,791,801,813,818,826,835,847,852,859,867,875,887,893,905,911,917,932,937,947,955,964,970,978,989,999,1006,1015,1024,1036,1040,1047,1054,1066,1075,1079,1090,1099,1106,1119,1127,1136,1139,1151,1160,1167	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,20,25,37,43,56,65,72,83,91,95,102,116,127,135,142,150,155,162,177,313,318,328,340,351,356,362,372,380,389,397,411,417,427,437,446,596,607,614,625,627,636,648,657,663,677,685,690,695,704,717,728,734,737,748,760,763,773,782,789,805,813,816,825,835,840,852,860,870,875,885,893,907,915,923,931,937,942,951,967,970,978,990,996,1004,1016,1022,1033,1043,1049,1058,1062,1074,1081,1094,1099,1104,1121,1125,1137,1141,1150,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,22,28,34,48,58,63,73,79,93,102,106,113,127,130,140,149,159,167,174,313,319,327,337,350,352,367,377,378,390,396,410,415,423,432,441,599,603,612,626,627,643,648,653,662,674,686,690,699,704,717,728,732,745,750,762,767,772,780,791,799,806,817,829,838,847,849,861,869,880,889,893,905,910,921,930,939,945,954,965,975,977,991,999,1006,1014,1024,1036,1043,1046,1053,1068,1074,1087,1095,1102,1109,1121,1125,1136,1139,1150,1164,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,28,37,49,53,64,70,79,86,98,103,113,127,128,144,146,162,168,175,317,325,333,341,348,359,362,377,381,388,399,412,416,423,434,442,459,605,617,620,632,642,649,660,664,671,685,691,695,705,720,723,731,745,749,758,765,773,785,790,799,812,815,826,831,846,854,862,869,875,887,899,903,916,917,931,942,944,959,964,973,984,989,1001,1010,1017,1026,1036,1044,1052,1057,1063,1071,1080,1095,1101,1111,1119,1128,1133,1141,1151,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,17,33,36,50,56,65,76,80,91,96,110,114,122,130,141,151,155,170,177,313,321,332,338,350,357,366,374,386,389,398,410,418,423,436,444,600,606,613,625,627,641,650,655,663,669,682,690,695,708,715,722,730,738,750,758,765,779,784,790,803,809,816,824,837,842,856,860,871,875,883,899,900,915,917,928,941,945,957,962,970,977,991,1000,1006,1010,1025,1032,1039,1049,1057,1069,1072,1087,1091,1098,1105,1118,1124,1136,1140,1148,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,33,36,48,57,65,73,81,92,95,107,116,122,128,143,151,158,167,174,195,323,330,343,350,356,363,377,381,391,402,406,414,421,433,438,597,605,612,621,628,640,648,656,662,674,685,693,698,709,715,725,732,745,751,758,768,775,780,790,805,813,822,824,832,846,848,858,867,881,887,897,903,912,925,931,935,949,959,962,975,980,992,994,1002,1014,1023,1034,1043,1052,1061,1070,1075,1084,1095,1098,1106,1121,1127,1131,1144,1151,1156,1164	1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,14,24,28,37,47,57,60,74,80,90,99,110,117,125,130,137,149,156,168,177,313,321,329,342,350,357,361,377,378,392,397,404,417,421,435,439,599,609,611,621,629,637,651,653,664,669,677,686,698,706,713,725,731,740,752,755,764,779,788,793,801,812,819,824,837,843,853,859,870,874,887,896,900,915,924,928,939,944,955,963,975,978,990,996,1008,1015,1024,1028,1040,1051,1060,1064,1073,1082,1090,1102,1107,1119,1122,1131,1144,1152,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,31,40,49,54,61,74,84,86,100,103,111,123,131,140,149,153,164,176,314,318,334,336,350,355,364,371,378,388,396,404,414,424,434,440,596,604,611,625,627,639,652,653,665,673,678,690,696,709,712,725,731,741,747,757,767,778,786,788,804,812,819,829,832,842,853,864,868,876,885,893,902,912,922,933,934,949,954,961,973,976,986,998,1010,1019,1025,1035,1039,1050,1060,1067,1076,1079,1089,1102,1107,1118,1122,1133,1140,1154,1163,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,28,36,45,53,66,73,84,88,97,105,119,123,131,141,146,161,163,174,315,320,328,343,348,357,367,377,380,390,402,407,416,427,437,445,597,601,612,620,634,638,646,657,660,672,681,689,698,708,713,723,730,741,747,755,764,776,781,788,801,810,821,830,831,847,855,864,865,880,887,895,904,910,922,926,938,944,958,960,974,977,993,995,1008,1014,1023,1029,1038,1053,1054,1064,1074,1083,1092,1100,1113,1120,1126,1138,1141,1153,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,29,35,46,55,66,71,84,89,96,109,112,125,134,139,153,161,163,179,313,322,326,341,351,355,361,373,378,389,400,410,418,421,436,442,596,602,615,618,634,639,644,658,666,670,686,693,698,711,720,726,731,745,746,761,765,774,786,796,797,808,820,823,838,848,851,859,869,881,887,891,900,909,920,932,941,942,955,961,974,983,988,999,1003,1015,1026,1032,1037,1051,1059,1065,1074,1083,1087,1098,1111,1116,1125,1132,1143,1155,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,33,41,44,54,66,73,80,90,99,103,114,125,133,137,153,155,168,174,314,325,329,337,347,359,369,374,381,389,400,407,419,427,434,440,596,605,610,619,629,635,649,656,661,672,683,687,703,711,712,724,735,745,750,760,771,777,783,795,802,808,818,830,833,843,854,860,868,877,883,898,906,910,923,931,940,949,955,960,973,978,989,1000,1008,1017,1024,1031,1042,1049,1057,1067,1071,1082,1089,1097,1111,1116,1125,1136,1140,1151,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,31,35,44,58,62,70,76,89,96,105,116,120,135,139,153,157,168,173,316,325,331,343,345,357,361,369,380,389,398,405,418,423,433,444,448,609,610,618,628,638,650,659,668,673,678,687,695,709,720,721,734,742,750,761,765,777,780,790,800,814,816,824,839,841,857,864,873,880,884,897,903,916,918,933,937,949,951,964,969,977,993,994,1003,1011,1020,1030,1044,1050,1054,1067,1071,1083,1088,1098,1106,1116,1125,1138,1147,1153,1159,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,26,35,49,53,61,71,81,88,97,105,114,122,130,143,145,159,164,173,314,325,333,338,347,359,368,371,379,394,396,407,419,421,434,438,597,601,609,622,631,639,646,655,665,677,685,687,700,705,714,724,734,743,750,759,765,771,782,792,797,807,816,824,836,843,856,864,867,882,889,897,900,915,918,929,935,944,959,966,976,982,992,998,1010,1016,1026,1036,1043,1050,1055,1063,1078,1081,1088,1100,1104,1117,1123,1132,1142,1153,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,23,28,37,46,56,64,68,84,91,94,106,118,126,132,145,153,154,165,176,314,323,331,342,344,360,362,374,386,390,396,409,419,427,433,445,600,602,609,626,628,641,646,656,667,675,678,694,698,709,713,727,736,745,749,755,767,773,787,796,797,806,815,826,834,840,850,859,871,877,888,895,907,911,921,926,938,946,958,961,974,980,986,995,1007,1014,1027,1028,1044,1052,1059,1070,1075,1081,1094,1097,1110,1118,1124,1133,1142,1150,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,27,36,47,57,64,70,80,86,96,109,117,124,128,139,145,160,164,176,318,322,332,342,348,360,366,371,381,391,400,405,414,422,435,443,597,601,612,618,630,636,643,653,665,670,681,688,697,706,713,723,732,742,749,756,764,771,784,796,798,813,817,825,839,846,853,859,866,880,884,894,903,913,922,926,939,948,953,963,975,978,993,998,1004,1017,1027,1035,1037,1053,1060,1070,1076,1081,1094,1096,1108,1117,1125,1133,1139,1147,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,31,36,44,58,60,74,76,92,95,102,116,126,135,144,146,157,167,173,316,323,333,341,345,354,365,375,378,390,400,411,413,423,436,439,598,607,610,624,631,642,647,657,667,675,681,686,702,707,719,726,733,742,753,760,765,773,784,790,800,809,822,823,836,847,855,860,873,879,888,898,907,915,922,929,937,947,952,965,971,985,992,1000,1007,1014,1022,1030,1038,1051,1059,1062,1071,1080,1093,1100,1108,1120,1122,1137,1139,1154,1159,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,32,35,43,52,66,68,78,86,94,107,116,127,128,138,147,155,167,175,316,320,330,343,344,355,361,374,384,387,396,407,412,428,432,438,600,601,613,625,629,641,646,656,661,670,677,686,699,708,718,728,733,740,747,755,769,774,782,793,798,811,817,829,836,843,850,863,873,877,890,897,906,909,921,931,934,942,955,960,969,977,985,994,1010,1015,1023,1028,1044,1049,1059,1069,1071,1079,1096,1104,1110,1121,1124,1138,1145,1152,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,23,31,40,42,51,61,74,84,86,99,103,113,120,133,137,152,161,168,170,316,322,335,340,348,357,361,370,384,388,399,407,418,427,435,445,462,601,616,622,627,642,652,654,662,671,679,687,698,706,717,723,735,745,746,757,768,774,787,789,800,813,819,828,839,842,856,863,872,878,886,892,901,915,921,933,941,943,956,966,971,985,992,995,1003,1017,1025,1033,1044,1049,1054,1069,1071,1081,1095,1098,1107,1116,1122,1137,1146,1149,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,32,40,44,57,67,72,77,93,96,107,111,127,132,138,151,157,170,173,193,324,332,338,351,359,366,373,385,389,398,406,417,425,435,442,469,609,614,625,629,635,647,655,662,672,679,692,698,704,713,720,733,743,748,762,765,777,785,793,804,813,819,823,835,844,849,863,868,880,888,897,903,910,924,927,940,947,959,965,968,984,986,997,1006,1011,1026,1035,1036,1049,1054,1070,1075,1079,1093,1097,1110,1113,1128,1130,1143,1148,1156,1164	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,17,27,37,43,55,61,76,79,86,95,109,119,126,131,139,151,160,168,171,180,318,329,337,351,354,362,373,378,388,396,407,412,428,431,443,599,608,616,621,629,641,650,653,661,674,678,692,699,709,718,727,736,737,747,758,764,777,782,795,801,811,820,830,835,848,852,858,872,880,884,895,900,908,920,932,934,944,956,963,975,980,993,995,1005,1015,1023,1033,1040,1049,1057,1069,1077,1080,1090,1104,1108,1119,1124,1131,1139,1152,1157,1169,1177	1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,24,31,41,44,53,65,72,84,85,98,103,114,128,131,140,146,161,165,179,202,325,334,339,346,354,367,373,379,394,398,404,412,427,437,444,454,607,615,626,628,639,644,660,668,677,684,691,695,705,712,728,729,744,751,755,767,779,784,796,805,806,819,826,839,842,856,860,865,880,888,893,908,915,918,932,937,950,955,964,970,982,992,998,1010,1013,1024,1035,1037,1046,1053,1068,1074,1082,1090,1101,1112,1118,1126,1137,1146,1150,1157,1165	1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,21,30,37,48,53,67,68,79,88,100,107,114,122,135,136,152,156,170,174,184,319,327,343,347,359,367,371,383,394,396,404,420,426,432,442,448,607,614,625,634,637,650,659,662,675,682,689,702,705,719,723,733,741,748,757,770,778,787,795,798,812,816,828,833,843,851,860,866,874,890,896,905,914,921,927,936,948,956,961,973,983,985,999,1010,1013,1027,1036,1039,1045,1061,1069,1078,1087,1091,1103,1109,1115,1122,1136,1139,1148,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,18,28,34,43,59,65,75,81,90,95,102,111,123,130,144,149,156,168,171,179,318,334,341,347,354,362,371,379,393,400,406,415,427,433,441,466,608,611,619,630,638,645,656,660,674,679,688,699,705,714,727,731,742,751,759,770,777,782,794,802,811,820,824,839,841,853,858,869,882,884,899,905,910,924,927,938,947,952,965,972,980,985,994,1007,1018,1021,1036,1039,1045,1059,1069,1072,1082,1089,1101,1110,1120,1126,1132,1140,1148,1158,1171,1177	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,12,18,30,41,48,54,65,73,77,92,97,110,114,125,131,138,151,156,162,176,188,323,329,338,347,354,364,370,379,393,396,409,415,422,429,443,466,602,615,624,630,642,647,652,667,675,685,692,701,711,716,723,737,743,747,759,770,777,783,797,805,811,818,827,839,843,853,863,872,877,889,896,907,915,925,927,940,949,956,962,970,978,986,998,1009,1014,1021,1036,1040,1047,1057,1062,1074,1084,1094,1101,1109,1118,1127,1131,1140,1154,1164,1167,1178	0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,14,18,33,40,45,58,65,74,81,86,98,103,114,123,134,140,151,160,164,175,179,320,329,338,345,352,368,374,382,390,398,407,418,427,437,445,466,602,612,623,634,643,650,652,663,669,678,693,697,704,711,720,730,743,752,762,766,772,785,789,804,811,816,823,831,846,856,861,871,878,890,899,904,911,917,929,939,947,952,967,968,983,990,1001,1004,1011,1026,1028,1042,1046,1059,1068,1073,1081,1090,1096,1111,1113,1122,1132,1140,1153,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
3,9,23,26,34,46,56,66,70,80,91,101,102,112,120,133,138,147,158,167,172,189,321,332,340,344,355,367,371,385,391,396,406,418,427,430,443,468,604,615,625,628,642,647,655,665,674,679,694,703,707,712,720,731,745,754,756,769,774,783,791,801,807,817,830,839,847,854,861,868,882,887,892,906,914,922,933,937,949,954,960,971,983,988,1000,1005,1016,1026,1031,1043,1046,1058,1064,1075,1081,1094,1103,1112,1117,1121,1133,1142,1150,1157,1172	0,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
1,15,19,27,35,51,53,62,71,81,89,99,109,114,127,132,137,148,161,162,179,314,323,334,338,346,353,361,372,381,394,398,411,417,424,431,444,597,604,611,621,632,641,647,660,665,670,686,692,699,707,715,727,729,741,754,758,764,774,788,792,799,812,816,830,832,842,851,863,865,877,890,894,905,911,918,933,937,943,958,968,974,977,991,995,1009,1016,1024,1028,1038,1049,1053,1062,1078,1085,1091,1098,1113,1120,1129,1131,1146,1149,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,17,28,35,50,59,67,71,77,88,102,110,114,125,131,136,151,159,165,173,316,322,329,343,350,353,367,374,382,391,397,405,416,428,436,446,449,604,613,620,632,635,644,657,663,674,684,690,696,703,717,723,736,746,752,760,771,772,781,795,803,806,816,824,833,841,848,860,867,879,891,896,906,909,919,933,942,944,954,965,976,977,989,1001,1002,1017,1026,1034,1043,1049,1055,1068,1074,1087,1094,1097,1109,1115,1128,1138,1140,1149,1162,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,21,29,35,42,58,65,75,77,93,100,109,114,121,129,143,146,155,164,171,190,323,332,338,346,359,368,374,379,392,395,410,418,424,435,439,459,602,610,624,629,639,647,653,663,675,683,690,695,708,719,727,737,744,746,754,770,772,784,794,802,808,821,823,832,844,853,858,866,880,887,892,903,908,919,927,934,945,953,966,973,977,986,1000,1006,1012,1023,1030,1043,1049,1054,1068,1075,1079,1092,1099,1106,1119,1123,1134,1142,1148,1160,1166,1175	0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,17,26,36,50,57,60,69,83,90,102,104,114,123,129,138,145,160,168,173,185,322,334,338,351,360,366,377,385,393,400,405,415,428,435,438,599,608,611,622,633,638,648,652,662,669,679,687,699,710,713,721,734,741,753,756,771,778,784,795,802,812,816,828,839,843,855,863,870,877,883,892,903,915,921,933,937,949,955,966,975,978,985,1000,1003,1016,1024,1034,1043,1048,1056,1069,1074,1081,1090,1096,1111,1119,1126,1138,1142,1154,1161,1170	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,10,18,27,40,46,59,60,73,85,87,101,106,112,120,133,141,145,154,164,178,316,322,327,343,345,359,365,373,379,389,397,408,415,426,432,445,598,607,611,623,630,636,649,659,661,674,681,687,697,711,713,726,732,741,750,759,769,778,780,797,804,814,817,823,833,846,850,857,867,878,890,894,902,916,920,932,935,944,954,960,975,983,993,1001,1007,1018,1020,1033,1039,1049,1053,1066,1074,1079,1093,1098,1109,1116,1122,1136,1144,1155,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,25,30,35,50,58,63,68,80,91,99,107,118,124,130,140,152,155,166,179,184,323,331,335,346,359,361,371,386,389,403,410,415,427,436,441,457,608,610,619,626,643,646,655,664,672,685,692,695,706,719,727,730,743,746,760,766,778,781,793,802,809,818,830,838,844,852,858,866,875,888,891,905,915,919,928,934,946,954,962,973,982,991,998,1010,1015,1019,1030,1039,1051,1061,1066,1077,1081,1094,1096,1104,1120,1128,1130,1139,1151,1159,1168,1174	0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,20,27,40,47,57,60,72,83,92,94,110,117,119,134,144,151,156,169,178,185,323,332,339,347,357,369,372,379,387,399,404,416,423,429,438,457,609,617,622,629,638,645,656,667,677,685,692,701,709,717,727,730,742,747,760,768,773,786,791,805,807,820,824,834,843,852,864,870,879,889,893,903,912,921,929,937,944,953,967,973,983,986,997,1005,1013,1022,1031,1039,1051,1053,1068,1077,1085,1090,1098,1105,1114,1130,1134,1138,1150,1160,1168	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,21,32,37,47,59,66,71,80,93,96,105,115,126,129,141,152,159,168,177,313,326,330,335,348,358,362,373,383,388,395,407,419,422,437,442,461,608,615,620,631,642,649,653,664,671,679,689,701,709,717,724,734,737,751,762,768,773,782,792,804,813,819,830,837,842,856,859,866,879,885,892,905,911,923,926,940,949,956,967,974,982,991,994,1009,1017,1022,1034,1040,1048,1060,1070,1076,1084,1088,1097,1109,1118,1127,1131,1147,1155,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,31,41,48,51,66,75,85,88,101,108,112,120,130,141,150,156,164,171,317,323,327,336,347,353,366,374,379,390,402,409,415,423,432,441,466,603,613,620,630,637,649,654,668,674,678,692,699,710,714,727,735,739,747,755,771,780,782,793,799,811,814,825,839,842,849,861,867,876,888,899,905,910,921,925,939,945,955,959,968,983,989,996,1007,1018,1022,1032,1040,1049,1058,1068,1078,1085,1090,1097,1109,1120,1123,1137,1144,1152,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,139,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,29,37,48,56,65,71,77,92,99,106,113,119,135,139,148,161,170,171,313,320,330,342,345,355,366,376,379,392,396,406,416,427,435,445,447,607,611,622,628,642,649,653,660,674,678,689,700,705,716,728,731,739,747,756,765,771,787,796,805,809,821,824,836,846,851,862,867,880,885,897,906,914,922,931,942,949,958,959,970,984,992,996,1003,1011,1021,1034,1037,1048,1054,1067,1074,1082,1090,1097,1110,1115,1129,1130,1139,1149,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,32,36,44,52,61,70,83,85,95,106,117,124,134,140,148,160,165,174,316,321,329,340,348,352,361,375,382,393,397,410,413,426,430,443,598,603,611,619,631,637,647,659,666,674,686,689,702,709,714,722,736,746,747,758,768,776,785,794,805,810,816,826,836,847,849,860,867,882,883,892,903,913,921,926,937,950,952,959,968,982,985,997,1005,1017,1021,1034,1043,1051,1060,1063,1078,1083,1094,1096,1112,1117,1129,1133,1143,1149,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,24,28,40,47,54,67,76,80,89,97,105,118,121,133,143,151,160,162,176,313,324,332,340,350,357,368,373,384,395,399,408,414,421,437,438,600,607,609,621,626,641,644,657,664,675,682,688,696,710,714,728,733,743,754,760,768,779,784,792,800,808,817,825,834,846,854,861,866,876,886,891,907,916,918,932,939,948,958,964,973,979,988,1000,1007,1016,1026,1030,1042,1052,1057,1069,1072,1080,1090,1102,1109,1114,1123,1137,1139,1148,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,26,37,47,55,65,68,85,87,97,106,115,120,132,140,150,158,163,173,313,322,331,340,351,357,363,373,384,388,396,411,413,424,435,444,447,609,615,623,634,636,650,653,665,673,685,688,699,706,712,723,729,737,749,759,765,774,788,790,803,811,819,831,838,846,849,863,869,875,890,895,905,915,917,926,936,946,957,960,975,982,993,1000,1009,1014,1022,1035,1036,1049,1060,1067,1074,1083,1092,1102,1110,1118,1127,1134,1139,1152,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,30,34,48,57,67,74,84,89,99,108,114,121,131,143,153,159,164,176,315,326,335,343,349,352,365,377,386,391,395,406,417,427,437,441,596,605,615,621,628,636,649,656,660,675,680,690,699,710,712,726,731,741,752,758,770,774,785,791,803,811,821,826,838,840,851,859,866,880,890,898,901,911,919,932,941,945,956,960,968,979,985,998,1007,1013,1026,1028,1042,1051,1062,1064,1075,1086,1091,1097,1105,1116,1128,1134,1144,1148,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,30,36,45,55,60,70,85,92,101,107,115,119,130,144,145,161,165,177,314,323,335,341,351,359,361,370,381,389,401,408,416,421,430,444,448,601,610,620,630,637,647,654,661,673,683,687,697,710,718,723,729,742,747,757,765,778,780,797,804,807,821,831,839,843,851,858,868,877,891,893,902,916,922,930,936,946,954,964,968,980,992,1001,1007,1019,1027,1032,1039,1045,1056,1062,1077,1083,1092,1098,1107,1117,1124,1133,1143,1154,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,27,36,50,58,65,74,81,88,97,103,111,124,133,137,146,157,163,179,184,319,333,342,345,353,362,374,381,391,402,404,415,426,430,441,596,601,609,620,631,641,648,654,668,670,684,691,697,709,719,728,729,741,746,754,763,778,781,796,801,810,818,827,838,843,853,859,871,875,889,891,900,914,920,928,934,949,958,962,974,981,991,1001,1009,1014,1025,1029,1043,1048,1056,1067,1075,1082,1091,1097,1105,1121,1128,1130,1144,1156,1157,1165,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
0,11,21,32,36,44,58,67,72,78,86,96,103,118,121,130,142,153,157,170,174,316,323,334,337,349,356,363,372,379,392,400,404,417,425,437,439,460,607,615,623,629,643,649,658,667,672,683,688,702,703,718,727,734,742,754,755,766,776,788,792,804,813,820,829,831,841,849,857,871,877,891,899,901,910,919,929,940,948,957,963,970,982,992,994,1004,1013,1020,1028,1044,1047,1058,1070,1075,1079,1095,1100,1110,1114,1125,1137,1138,1152,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,33,42,49,54,65,74,85,91,96,107,113,127,128,138,149,160,166,173,313,325,332,338,347,354,364,373,381,386,401,405,414,423,432,441,596,606,616,621,627,639,644,659,663,673,678,689,698,705,714,727,732,745,751,760,769,773,787,793,799,807,815,824,837,845,856,858,869,879,884,896,907,910,918,927,942,946,954,960,970,982,986,1001,1006,1016,1022,1031,1043,1052,1059,1065,1073,1081,1095,1100,1112,1119,1122,1131,1145,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,30,42,48,53,60,69,84,90,98,105,118,126,132,138,151,156,165,174,317,320,332,336,351,360,361,372,385,392,400,407,412,422,432,439,447,608,615,622,631,640,644,655,664,675,683,691,697,704,720,724,732,745,747,757,763,778,784,790,800,808,817,827,838,847,852,865,867,879,885,894,906,910,921,928,940,942,958,965,969,978,992,997,1007,1014,1022,1034,1044,1045,1056,1066,1071,1079,1093,1097,1107,1119,1127,1133,1144,1149,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,32,34,46,55,61,74,83,89,95,107,114,124,129,142,151,156,170,179,317,319,333,342,344,355,362,372,380,390,399,405,417,422,437,445,471,605,617,622,628,640,648,655,661,674,683,686,696,711,717,728,730,744,750,762,771,773,788,794,799,810,815,825,833,847,850,862,866,875,883,894,900,908,925,928,937,944,955,960,970,979,985,1000,1008,1011,1022,1029,1042,1049,1058,1063,1077,1084,1087,1098,1109,1119,1128,1130,1143,1151,1160,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,33,35,46,51,62,70,84,87,98,109,118,126,136,139,146,157,162,178,181,319,334,343,346,359,362,372,384,393,395,405,418,428,434,445,598,604,615,625,635,640,644,654,666,677,684,689,701,709,715,725,736,742,748,761,767,775,786,790,804,811,822,824,834,841,852,860,869,875,887,899,907,915,919,931,941,948,958,959,971,983,987,998,1002,1017,1023,1029,1044,1050,1058,1064,1077,1082,1092,1103,1105,1120,1130,1137,1144,1152,1164,1168	0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,9,24,33,38,44,56,67,74,84,86,95,106,113,123,129,137,153,158,167,171,318,322,332,340,344,357,367,372,378,386,402,405,414,424,436,440,452,602,609,620,632,641,647,660,666,672,681,691,699,707,717,720,730,739,753,759,771,772,786,794,803,811,818,828,837,848,854,861,873,876,888,894,905,908,918,931,935,949,959,964,976,979,992,1001,1004,1012,1027,1032,1038,1052,1058,1067,1074,1087,1088,1098,1104,1117,1123,1131,1139,1149,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,19,30,40,47,55,67,71,80,90,97,103,112,123,135,140,147,157,163,171,314,323,329,338,348,356,365,373,380,392,395,408,414,428,432,438,463,606,612,619,627,639,645,659,662,674,678,687,696,703,714,720,735,737,753,755,767,773,785,792,803,809,821,824,836,846,850,864,866,877,885,894,907,915,917,929,939,948,959,965,970,978,992,994,1008,1011,1020,1034,1037,1046,1057,1070,1074,1083,1089,1096,1105,1114,1125,1132,1141,1151,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,26,39,47,58,64,68,79,92,102,110,117,119,136,137,146,154,170,176,317,318,329,340,344,358,367,370,379,393,396,407,418,424,435,437,465,604,610,620,630,638,645,659,663,672,684,688,701,705,717,722,729,740,753,760,770,779,780,796,798,809,817,826,833,841,850,860,870,881,885,896,901,910,923,926,936,946,959,964,969,979,987,1000,1005,1014,1024,1033,1043,1052,1060,1069,1074,1087,1088,1101,1108,1117,1122,1133,1141,1155,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,32,41,45,54,59,74,77,88,100,108,117,120,132,140,153,154,166,177,318,326,327,343,347,357,362,376,378,386,401,404,414,422,430,442,597,604,610,623,629,636,649,658,661,672,683,687,698,706,715,728,730,741,746,755,765,773,788,789,800,808,816,826,836,842,849,859,866,879,890,893,905,914,922,933,938,943,956,966,975,979,985,995,1004,1010,1022,1032,1040,1048,1061,1062,1077,1082,1089,1099,1105,1121,1122,1130,1146,1148,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,29,34,46,57,62,69,79,88,96,110,118,126,130,145,151,154,170,178,317,323,330,336,346,353,364,372,383,393,398,408,413,423,437,447,600,607,616,626,629,637,646,654,669,673,677,691,699,703,714,724,732,737,749,760,766,775,788,792,798,809,814,831,837,842,855,861,873,881,887,896,906,914,917,926,938,945,955,966,970,982,992,999,1004,1011,1027,1033,1043,1050,1056,1069,1076,1087,1091,1101,1105,1119,1125,1138,1139,1154,1160,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,28,38,47,59,68,73,82,90,101,103,115,120,129,139,146,153,168,172,314,321,329,342,344,357,363,375,385,392,396,409,420,425,436,440,469,605,615,618,631,637,650,657,664,671,686,690,695,708,714,725,735,743,754,759,768,775,780,795,805,810,814,826,837,848,856,859,868,874,885,896,905,914,919,927,935,947,955,961,975,977,985,995,1004,1019,1026,1030,1043,1050,1060,1067,1072,1083,1090,1099,1111,1116,1124,1134,1139,1150,1163,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,30,42,43,59,62,74,81,91,94,110,119,125,130,143,145,154,167,176,316,320,327,342,346,356,361,375,383,388,397,404,420,427,431,441,462,601,617,618,635,641,645,656,660,673,686,690,700,703,715,727,733,738,749,760,765,779,781,790,803,808,817,825,839,844,854,857,868,879,887,893,904,915,918,931,935,944,956,965,968,977,987,997,1003,1012,1021,1028,1044,1049,1054,1064,1077,1080,1093,1097,1106,1114,1125,1130,1145,1152,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,28,41,42,51,64,73,81,88,99,110,115,125,133,136,145,153,164,172,314,325,333,341,350,359,363,371,382,391,403,407,415,423,430,441,600,602,614,623,632,639,647,652,665,673,681,689,699,709,719,722,732,742,752,760,768,774,783,796,797,811,821,825,835,844,850,858,874,879,885,899,905,916,917,930,938,947,952,962,969,977,991,1001,1008,1017,1023,1030,1043,1046,1059,1067,1076,1083,1092,1101,1111,1113,1130,1131,1139,1147,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,30,41,46,59,60,75,78,87,96,104,116,119,132,138,146,161,165,173,315,326,328,338,351,358,364,376,382,393,398,407,419,422,435,444,468,609,610,623,630,635,646,656,665,669,684,691,702,709,720,722,729,745,751,756,769,774,786,792,798,811,818,829,835,847,850,858,869,874,886,892,907,911,921,927,941,947,958,964,974,978,985,1000,1002,1011,1023,1035,1038,1050,1059,1063,1074,1081,1095,1103,1107,1113,1128,1134,1141,1148,1162,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,31,35,47,56,62,72,85,87,99,109,116,122,128,137,147,157,168,178,315,320,328,337,345,354,369,377,385,388,398,410,416,427,432,445,599,604,617,621,629,635,649,652,664,673,684,686,695,707,718,724,735,738,749,756,768,774,784,795,800,809,817,824,836,844,857,864,865,876,890,892,902,910,921,930,939,943,952,961,974,979,989,1001,1007,1012,1025,1033,1039,1051,1055,1067,1072,1085,1090,1101,1107,1118,1126,1136,1140,1155,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,21,26,42,48,56,62,70,81,90,98,110,117,126,132,139,149,159,166,172,317,319,327,340,348,360,361,372,385,390,398,410,414,421,432,445,599,605,616,619,631,643,645,656,666,671,685,694,695,708,714,721,729,742,751,761,767,779,787,792,801,807,819,827,834,846,855,859,868,881,886,892,904,913,922,931,934,947,951,967,968,980,989,996,1009,1012,1019,1034,1040,1050,1060,1063,1074,1085,1094,1104,1113,1117,1129,1134,1140,1155,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,27,38,49,52,60,74,81,85,101,104,118,125,128,143,151,154,169,175,315,318,332,342,351,357,367,373,386,390,400,410,420,427,431,440,471,609,613,622,630,637,650,653,662,669,678,692,700,706,715,724,735,738,753,763,766,777,785,795,798,807,817,830,834,840,854,859,867,882,883,891,902,908,923,929,935,949,955,965,970,977,992,994,1008,1013,1022,1034,1039,1052,1055,1070,1073,1080,1092,1097,1110,1116,1123,1132,1142,1153,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,25,39,48,55,68,72,78,92,94,103,119,124,133,137,152,154,163,172,179,318,328,341,351,359,366,376,378,393,400,408,416,423,437,441,597,606,616,618,631,637,645,652,663,674,682,686,697,707,718,720,729,740,747,757,770,777,782,791,801,810,820,828,838,848,851,857,871,876,887,897,906,912,922,928,941,947,957,966,970,982,985,999,1008,1012,1024,1032,1040,1050,1057,1064,1072,1081,1091,1102,1109,1115,1127,1137,1139,1150,1156,1172,1177	1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,21,29,41,47,52,68,71,78,88,97,109,115,124,130,138,145,153,165,172,181,326,328,335,346,356,362,377,379,392,397,409,420,424,431,438,454,603,610,624,630,638,646,652,666,669,680,692,702,711,716,721,736,740,751,760,767,777,784,792,803,807,819,824,833,848,852,861,871,879,887,896,904,912,920,931,937,949,956,963,974,976,986,999,1005,1012,1021,1035,1042,1048,1055,1064,1071,1087,1089,1099,1108,1114,1129,1130,1139,1151,1164,1169,1176	0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,15,25,27,42,46,51,67,75,78,89,97,110,115,120,134,139,151,160,170,177,183,324,328,339,351,354,368,375,383,394,395,404,415,429,433,446,449,604,613,618,628,642,650,654,669,675,683,693,701,709,715,723,735,739,750,754,763,780,783,794,803,808,818,824,832,840,850,865,871,874,885,897,906,910,922,928,934,950,952,963,975,977,985,999,1006,1011,1025,1035,1042,1048,1054,1067,1071,1083,1092,1101,1109,1117,1129,1135,1142,1155,1164,1171,1177	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,20,31,35,49,59,63,71,84,86,96,110,115,126,135,143,150,159,162,176,186,318,329,343,352,356,366,371,384,394,403,408,412,427,433,440,596,603,611,622,633,641,643,653,668,672,686,692,701,705,717,728,733,745,746,756,768,776,786,796,803,811,818,824,835,840,855,864,873,882,885,898,906,914,919,930,939,945,958,967,971,985,987,993,1009,1016,1023,1030,1038,1052,1060,1067,1072,1084,1094,1099,1111,1118,1129,1132,1140,1150,1160,1168,1177	1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,13,19,29,41,50,59,64,72,77,91,93,106,118,122,134,143,148,157,165,173,183,319,330,338,349,358,361,375,381,387,403,408,416,421,432,446,600,603,612,623,634,638,647,656,666,671,680,690,702,708,717,724,736,738,747,760,769,776,785,794,800,811,822,830,832,843,856,862,867,876,888,895,902,909,921,931,937,944,955,964,975,982,993,1000,1003,1016,1025,1035,1042,1045,1054,1063,1072,1084,1091,1098,1110,1121,1126,1136,1144,1152,1162,1165,1174	1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,23,33,37,45,56,60,70,82,89,100,104,111,122,132,137,147,159,163,177,179,325,329,335,346,360,362,377,380,388,396,408,418,423,436,439,463,608,610,623,634,637,651,659,668,677,682,687,700,706,714,728,730,737,752,762,767,778,781,791,797,810,816,825,836,840,851,859,873,875,884,892,903,916,924,932,936,949,959,963,969,981,988,999,1007,1015,1027,1031,1044,1052,1054,1065,1072,1082,1089,1097,1112,1116,1124,1132,1143,1150,1163,1168,1178	0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,20,31,40,49,52,64,75,83,86,100,104,113,126,128,138,147,161,167,174,181,321,332,343,346,357,363,370,385,387,396,407,415,427,430,444,457,605,610,618,631,637,651,659,663,675,685,692,696,709,716,724,732,741,750,758,763,772,787,797,798,806,815,829,833,843,849,863,869,875,887,891,907,914,923,928,938,944,957,964,972,982,990,996,1010,1013,1020,1030,1040,1052,1054,1065,1072,1080,1090,1099,1107,1114,1123,1138,1141,1153,1159,1169,1178	1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,13,21,30,40,50,53,63,69,77,87,94,109,111,126,134,143,149,158,165,177,189,326,333,339,348,353,361,376,381,386,401,405,420,422,431,445,600,606,615,618,634,640,648,652,661,675,683,687,697,708,717,721,729,742,747,757,770,776,788,792,797,806,821,829,834,847,856,863,872,878,890,898,904,916,919,929,941,944,952,965,968,985,986,998,1006,1019,1020,1035,1038,1051,1057,1065,1072,1080,1095,1096,1110,1120,1123,1131,1143,1154,1157,1165,1173	0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,20,31,37,44,52,60,68,76,85,96,106,119,127,134,144,151,156,169,173,315,319,331,337,350,352,367,377,385,390,403,406,412,425,433,442,452,606,611,624,632,638,650,659,665,670,681,689,702,705,713,721,736,738,746,760,771,777,781,794,798,806,815,824,839,847,852,861,872,880,888,897,905,910,924,932,942,944,956,960,973,978,993,1001,1010,1019,1025,1032,1043,1051,1061,1065,1074,1086,1091,1100,1110,1118,1124,1136,1142,1153,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,26,34,50,56,67,68,84,91,95,105,114,119,130,144,145,160,167,172,186,323,328,340,345,359,362,377,380,391,397,407,415,420,431,441,599,601,613,625,627,638,651,658,667,672,681,694,695,711,720,722,731,742,753,758,766,772,787,789,799,812,819,829,836,845,850,864,873,882,889,895,906,915,925,927,939,949,959,965,970,978,992,995,1007,1018,1020,1029,1037,1047,1053,1062,1076,1080,1089,1098,1106,1121,1129,1134,1143,1147,1156,1167,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,22,31,36,44,52,62,69,77,90,101,105,112,123,136,142,153,162,169,175,183,321,328,335,351,360,361,376,384,390,395,406,412,425,431,442,599,608,614,618,634,635,645,653,664,670,686,688,698,706,712,721,736,742,747,757,768,775,781,795,802,811,820,827,833,843,856,858,868,876,885,896,901,911,917,932,942,948,953,962,969,978,986,997,1007,1016,1024,1028,1043,1045,1054,1068,1073,1079,1088,1101,1112,1117,1126,1131,1139,1154,1159,1168,1177	0,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,25,26,40,47,54,63,71,79,87,96,109,119,123,133,141,153,154,162,171,199,320,333,340,347,359,365,371,382,389,396,403,420,428,433,439,455,601,613,624,627,641,651,658,664,673,680,690,696,708,720,728,732,742,747,756,765,773,782,797,804,809,815,824,837,842,856,858,873,879,889,899,904,909,919,929,940,950,954,966,973,979,992,994,1008,1017,1021,1035,1038,1047,1055,1069,1076,1082,1090,1104,1108,1121,1126,1132,1143,1153,1158,1167,1177	1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
6,16,22,27,39,47,53,63,69,79,89,96,107,113,127,135,139,151,154,168,178,185,325,332,342,351,355,364,370,379,387,399,409,416,421,433,445,452,609,615,622,632,638,649,659,668,671,685,687,696,711,714,728,731,744,747,762,767,777,780,796,802,811,822,824,839,841,848,858,870,881,886,896,905,909,920,929,934,950,957,965,968,981,991,995,1006,1015,1024,1033,1044,1045,1058,1068,1078,1079,1092,1100,1110,1118,1122,1137,1139,1150,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
2,9,18,30,41,48,55,64,70,80,91,96,109,113,120,133,143,147,156,164,176,198,320,328,338,344,353,364,373,383,393,402,404,417,427,433,438,597,604,617,624,632,640,649,660,665,672,680,693,701,707,719,724,734,744,754,761,767,777,782,789,800,807,819,828,836,840,849,857,867,874,888,893,903,910,920,933,941,945,956,962,974,984,991,994,1007,1014,1026,1031,1040,1047,1061,1067,1072,1083,1089,1103,1109,1114,1127,1135,1146,1152,1164,1167,1173	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,12,23,27,41,43,58,60,72,77,92,94,109,114,127,135,141,152,155,170,175,183,318,329,336,346,354,362,373,379,390,397,410,415,428,434,445,596,604,615,625,630,643,644,658,664,673,680,691,702,706,713,721,734,742,746,754,765,775,782,789,799,814,818,823,837,846,850,864,871,875,890,896,900,913,917,925,940,946,955,961,971,981,993,1002,1005,1014,1026,1030,1040,1052,1055,1068,1072,1079,1089,1103,1106,1121,1123,1130,1146,1149,1164,1171,1173	1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,11,24,30,41,48,58,65,75,81,88,100,108,118,123,131,138,146,160,162,172,316,324,332,341,346,355,361,371,385,388,396,408,416,428,432,438,600,605,617,622,626,636,648,652,668,671,680,693,701,710,718,728,729,737,748,757,767,775,786,790,798,810,815,825,839,843,852,863,872,882,885,891,900,916,922,933,941,942,956,960,972,978,992,997,1005,1011,1021,1028,1044,1052,1058,1064,1078,1083,1089,1100,1110,1119,1127,1137,1143,1154,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,22,26,34,45,53,62,76,79,88,96,108,114,121,128,137,149,155,169,174,317,326,332,341,347,360,369,370,384,394,399,405,414,427,434,443,454,603,609,624,627,642,646,656,665,674,682,694,703,711,717,721,735,739,751,757,771,772,786,789,800,812,815,826,836,848,854,862,865,877,886,894,906,914,924,928,937,948,954,961,971,983,990,1001,1007,1013,1023,1033,1042,1049,1057,1068,1073,1080,1095,1098,1112,1121,1128,1138,1142,1147,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,17,18,27,42,44,57,64,75,78,87,94,102,117,119,130,144,153,157,169,172,316,326,327,343,350,360,363,375,380,388,398,408,413,429,437,438,466,601,609,619,632,640,644,655,665,671,679,691,702,706,715,724,729,738,750,761,771,772,786,790,800,811,816,823,834,845,852,862,869,877,886,897,906,912,917,929,935,943,952,967,974,979,990,1001,1010,1016,1027,1035,1041,1051,1053,1063,1076,1084,1092,1103,1111,1117,1127,1137,1139,1150,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,24,32,40,47,58,60,69,77,89,101,109,118,121,134,136,147,156,164,176,317,318,333,341,346,359,361,371,381,392,402,406,418,425,432,439,456,603,615,620,630,638,648,658,665,671,679,691,702,704,719,721,733,739,753,760,763,774,780,794,800,806,819,824,833,842,856,863,869,880,889,893,906,912,920,931,939,947,954,967,972,977,992,999,1009,1017,1023,1034,1037,1048,1061,1067,1073,1081,1092,1098,1113,1117,1127,1136,1146,1153,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,33,41,50,58,67,68,82,85,95,108,111,124,128,138,149,159,165,176,314,318,331,336,345,355,366,371,380,386,400,407,412,429,437,445,599,608,613,620,632,639,648,655,666,671,680,690,701,708,716,728,730,739,752,763,766,775,783,794,797,814,820,824,835,845,856,857,866,874,883,892,905,912,917,926,939,946,952,964,970,981,990,994,1008,1012,1025,1031,1042,1051,1060,1062,1076,1079,1091,1096,1108,1120,1125,1130,1140,1147,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,17,33,35,45,58,61,75,78,85,98,108,115,121,129,145,147,161,163,177,316,322,331,339,347,353,365,371,385,394,400,410,420,425,433,444,451,605,617,624,627,638,650,653,664,670,678,686,697,706,718,724,732,740,747,757,767,779,781,790,799,813,817,829,835,846,856,863,871,881,884,892,902,913,920,927,934,949,957,968,969,978,990,999,1004,1017,1021,1034,1037,1052,1060,1070,1072,1080,1093,1099,1109,1117,1123,1135,1139,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,33,42,45,54,67,72,78,91,97,109,119,122,135,144,152,161,167,176,315,326,330,337,348,360,364,371,379,389,396,411,412,423,434,443,466,601,609,620,635,639,646,658,661,675,679,688,702,708,717,726,731,738,748,755,763,774,787,789,799,810,819,824,836,840,849,862,867,878,885,892,902,909,921,928,934,943,952,961,971,977,988,1001,1002,1013,1024,1028,1042,1048,1058,1067,1074,1083,1089,1104,1106,1116,1129,1135,1139,1155,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,33,39,50,57,67,72,83,88,98,106,112,123,133,139,153,161,169,177,315,326,330,340,349,359,362,369,386,392,398,405,417,427,433,446,597,605,614,620,632,640,644,658,668,676,686,688,695,710,717,723,736,744,753,761,769,772,787,796,804,809,817,825,837,840,850,861,871,876,888,899,904,914,917,926,935,950,951,960,972,978,988,994,1009,1015,1022,1030,1039,1050,1059,1065,1078,1086,1091,1103,1109,1120,1123,1131,1141,1151,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,29,41,45,55,60,71,83,90,94,108,119,125,134,141,148,158,167,171,187,318,328,337,351,357,365,371,381,393,396,411,419,427,436,442,599,602,613,620,628,635,648,657,668,675,684,687,700,709,719,727,735,745,753,757,771,772,783,789,798,807,819,824,832,841,851,858,868,879,884,899,900,915,922,932,936,945,957,962,974,982,989,995,1004,1015,1026,1029,1043,1048,1058,1070,1071,1081,1092,1100,1107,1114,1125,1136,1142,1155,1162,1170,1176	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,9,21,27,37,46,56,65,71,80,90,98,103,114,127,129,140,151,159,167,178,317,325,327,336,344,353,365,374,382,392,400,411,418,423,431,443,458,608,614,625,630,637,646,653,669,676,684,692,699,705,717,721,730,741,749,758,768,775,788,792,801,813,819,824,833,846,855,859,870,876,889,897,902,916,917,931,939,948,954,963,968,977,987,997,1008,1017,1020,1032,1036,1045,1058,1062,1071,1083,1087,1101,1107,1114,1126,1134,1142,1155,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,27,40,50,52,67,70,80,87,100,106,113,119,130,137,149,155,167,172,313,318,332,336,348,355,368,369,384,387,403,405,418,427,436,439,465,607,609,623,630,638,647,657,662,672,680,690,700,708,714,725,735,743,751,758,767,774,788,791,798,808,817,824,837,841,851,860,866,878,887,892,900,912,921,932,938,946,955,965,975,978,989,996,1008,1019,1023,1036,1037,1050,1060,1069,1076,1080,1093,1104,1110,1114,1126,1134,1142,1147,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,18,29,38,47,52,62,74,84,90,94,106,112,121,133,137,151,161,164,172,314,319,330,335,346,355,367,372,380,393,402,407,418,428,435,444,596,608,615,625,632,636,645,653,665,673,683,690,703,707,719,724,733,741,751,760,763,779,781,796,800,813,815,826,838,846,850,864,867,874,888,893,907,908,919,932,934,947,958,966,968,978,988,996,1002,1016,1022,1032,1043,1049,1054,1066,1070,1080,1094,1097,1109,1114,1124,1132,1141,1154,1161,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,32,39,43,57,67,73,79,89,98,105,115,123,133,141,151,160,162,177,318,326,332,342,351,356,368,371,381,392,403,406,416,422,434,444,600,601,611,623,634,637,648,654,668,675,679,692,698,704,716,728,730,743,748,757,767,776,784,792,797,813,822,828,838,847,849,863,867,881,889,892,900,909,920,931,941,946,953,959,969,982,987,998,1009,1016,1024,1028,1036,1046,1058,1065,1071,1081,1094,1104,1108,1121,1124,1136,1144,1151,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,26,35,43,55,59,76,78,89,96,108,115,119,133,142,146,161,166,171,179,323,329,343,349,359,367,370,383,388,399,410,414,421,436,442,449,607,613,621,629,643,644,653,661,674,679,691,699,706,714,727,733,744,747,762,767,774,784,789,799,812,817,825,833,843,852,862,873,881,889,891,905,915,925,930,941,944,958,963,971,981,988,999,1005,1013,1026,1029,1038,1052,1056,1065,1072,1083,1091,1099,1107,1113,1122,1134,1140,1149,1156,1172,1174	1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
1,15,21,29,39,46,59,66,74,77,91,101,110,119,121,129,144,152,158,164,176,313,326,332,343,348,360,363,374,378,389,398,407,415,423,433,439,597,602,611,623,633,639,645,655,663,676,686,689,695,704,714,722,735,743,750,761,764,775,780,789,805,811,815,824,836,845,855,864,869,881,885,894,902,909,923,929,934,945,953,965,974,978,986,997,1008,1019,1026,1028,1039,1051,1060,1063,1073,1085,1092,1096,1111,1119,1127,1130,1147,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,27,37,49,54,62,70,82,89,95,104,115,127,132,140,147,157,169,178,314,323,330,342,345,356,364,373,384,393,397,410,414,423,430,440,462,602,617,624,631,641,644,652,661,671,679,688,696,706,712,721,729,743,753,758,768,779,780,795,799,811,819,830,838,848,851,863,869,881,886,896,905,909,920,932,939,947,958,962,974,977,989,998,1010,1014,1022,1036,1044,1050,1060,1068,1078,1087,1091,1097,1113,1119,1128,1137,1142,1148,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,29,36,44,59,60,73,80,85,97,108,115,120,134,139,145,159,163,173,315,321,331,340,346,357,365,369,384,391,402,411,412,421,432,441,600,607,613,622,627,639,647,653,664,670,685,692,699,706,715,728,736,740,747,756,767,773,785,797,798,812,816,828,836,843,856,861,872,882,885,897,900,915,923,931,937,949,952,967,973,979,987,997,1004,1012,1027,1030,1044,1047,1057,1069,1074,1080,1094,1098,1111,1118,1128,1133,1146,1155,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,17,26,37,49,55,66,72,84,85,100,108,111,126,135,144,146,155,170,174,318,324,332,336,347,355,368,376,378,391,395,410,416,424,435,440,450,604,610,619,633,641,649,655,666,676,680,689,702,709,719,727,731,741,752,754,763,778,781,789,800,813,816,826,838,847,854,861,865,879,889,893,900,916,917,933,935,948,957,965,970,984,985,1001,1008,1012,1026,1029,1037,1047,1061,1062,1073,1081,1095,1097,1110,1118,1123,1135,1143,1149,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,26,41,45,58,60,74,84,87,98,108,112,123,133,138,146,159,166,173,317,320,333,341,345,356,365,372,381,388,397,406,415,422,431,445,596,607,611,622,630,639,646,659,666,671,677,688,699,711,713,723,736,742,749,760,768,772,785,793,802,809,815,827,835,840,855,861,866,877,889,897,902,913,920,928,934,947,955,962,970,978,990,994,1003,1018,1023,1029,1042,1046,1059,1067,1072,1079,1092,1101,1113,1119,1130,1133,1141,1150,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,33,35,47,55,66,75,83,86,94,108,113,124,130,137,150,161,164,174,317,320,328,342,352,360,368,377,385,390,398,406,414,428,435,438,468,607,610,618,631,641,650,660,664,673,679,694,698,711,717,728,731,742,749,762,769,774,780,792,804,813,820,828,834,841,853,859,870,875,885,893,904,909,919,928,941,949,955,966,975,979,986,996,1008,1012,1027,1030,1039,1046,1058,1067,1075,1082,1093,1102,1111,1120,1123,1136,1144,1154,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,26,38,49,57,60,73,81,87,97,108,113,120,130,141,145,155,167,177,313,326,331,342,348,355,364,377,383,389,396,408,418,425,434,445,450,604,617,621,627,635,646,657,668,675,681,688,701,705,717,726,734,744,746,758,769,774,781,791,804,810,814,825,836,846,856,857,869,880,883,895,906,910,922,926,938,949,951,968,975,976,992,995,1003,1018,1024,1028,1043,1049,1062,1065,1071,1084,1093,1100,1110,1116,1124,1137,1146,1155,1157,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,20,31,34,44,52,61,69,81,92,101,105,114,126,130,139,147,154,166,173,316,321,331,343,347,359,367,373,385,388,401,408,413,428,430,441,469,602,612,620,632,639,643,653,661,674,685,692,701,707,713,726,737,741,746,757,770,779,785,794,802,807,816,825,832,847,850,864,867,882,886,898,903,913,918,930,942,946,955,964,973,983,993,1000,1008,1018,1024,1031,1044,1050,1061,1069,1078,1080,1089,1099,1106,1120,1129,1133,1139,1155,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,25,37,46,54,64,71,79,93,96,109,115,123,133,138,145,159,167,174,313,325,328,338,347,355,366,372,380,393,395,404,413,426,429,444,600,605,610,625,629,642,646,657,662,670,685,688,702,706,719,729,732,744,748,759,769,773,787,792,803,807,817,829,839,843,853,864,869,879,884,893,905,910,923,933,939,947,954,963,974,980,992,999,1004,1018,1023,1034,1040,1053,1058,1068,1071,1080,1092,1103,1107,1119,1124,1130,1145,1148,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,30,37,46,52,66,74,80,89,97,108,111,127,131,139,152,160,165,173,318,324,332,343,345,357,362,375,385,393,398,410,419,424,429,442,453,609,615,621,633,637,652,654,668,670,679,686,701,706,712,725,734,741,753,758,771,773,785,793,802,806,822,827,832,848,849,859,873,876,889,895,904,911,918,927,939,943,958,961,968,980,985,1002,1003,1013,1027,1031,1044,1052,1057,1065,1074,1081,1088,1098,1105,1115,1127,1132,1144,1149,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,30,40,45,55,65,71,82,85,96,104,113,127,135,142,151,159,164,172,313,323,335,336,347,358,362,375,380,386,398,410,414,427,435,445,465,605,614,619,629,641,651,653,664,670,678,692,697,706,715,727,730,740,750,756,766,777,787,792,802,810,816,827,834,844,852,858,872,874,888,894,908,911,919,928,934,950,953,967,970,982,990,1000,1004,1015,1022,1035,1042,1049,1055,1067,1071,1080,1094,1101,1106,1120,1128,1136,1143,1148,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,29,39,47,57,59,73,85,92,98,109,112,119,133,137,152,159,167,172,315,318,330,336,348,358,363,373,384,390,395,403,412,424,435,440,447,602,610,619,634,641,652,658,662,669,681,689,696,704,712,725,732,743,752,758,767,780,784,796,804,806,816,823,835,844,856,862,869,877,890,891,904,916,924,927,934,946,951,966,974,980,993,999,1006,1018,1027,1030,1041,1050,1057,1067,1079,1084,1091,1103,1109,1120,1125,1137,1143,1152,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,33,41,43,52,67,75,79,86,97,108,116,121,131,143,145,154,165,178,184,319,329,340,344,353,365,369,379,390,396,408,417,423,433,445,470,603,617,621,631,641,645,659,663,670,685,687,702,705,715,727,732,739,752,755,769,772,784,797,803,806,819,829,837,844,848,864,873,875,883,898,906,909,917,928,936,949,956,963,969,981,988,995,1008,1014,1021,1033,1037,1052,1058,1069,1077,1086,1090,1099,1110,1113,1128,1136,1143,1149,1164,1168	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,24,26,36,49,52,65,73,81,85,99,103,113,125,135,138,150,156,164,178,196,326,331,340,350,352,363,377,381,387,396,410,420,427,437,445,599,602,610,623,632,638,650,658,667,671,683,692,698,708,714,724,730,737,750,761,765,772,781,793,798,812,819,825,834,843,855,859,869,879,886,892,907,909,924,927,940,943,953,962,973,981,988,996,1002,1019,1023,1034,1041,1053,1056,1063,1073,1081,1092,1101,1105,1114,1128,1132,1140,1148,1158,1169	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,12,24,28,42,44,58,62,75,84,88,96,103,117,125,130,141,149,157,166,176,184,326,330,341,344,357,369,376,381,388,396,405,420,422,429,438,466,604,610,624,629,635,644,654,664,671,683,693,702,706,713,727,735,745,753,755,765,772,783,796,804,813,816,829,832,844,854,860,868,875,889,892,906,910,918,926,941,947,951,963,969,977,987,1000,1009,1018,1026,1030,1038,1051,1055,1064,1074,1080,1093,1096,1105,1118,1127,1132,1143,1152,1163,1168	1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,15,18,27,35,50,51,63,71,79,91,97,108,118,121,134,143,147,160,167,176,193,324,328,341,344,358,362,376,381,388,396,404,412,423,436,444,596,606,617,625,631,640,643,652,663,669,681,692,695,711,716,721,735,741,746,760,765,774,780,788,798,811,819,830,831,842,855,864,867,877,887,892,907,911,919,927,938,947,952,959,974,984,988,994,1004,1019,1024,1033,1037,1051,1056,1070,1071,1087,1091,1097,1104,1114,1126,1133,1139,1152,1162,1165,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,21,30,41,47,55,68,71,82,86,95,103,115,120,134,140,148,155,163,178,184,321,333,342,349,353,365,372,380,393,399,410,420,421,432,446,471,605,611,625,630,639,647,652,664,676,684,689,698,703,717,723,731,738,751,755,765,778,780,790,798,810,815,828,834,843,851,858,869,875,889,897,902,914,919,927,940,947,955,967,976,978,987,998,1005,1016,1027,1031,1038,1051,1061,1067,1073,1086,1089,1104,1107,1119,1125,1131,1141,1151,1159,1168,1175	0,0,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
5,12,22,26,38,48,53,64,73,80,91,95,106,114,120,129,137,146,161,170,176,180,320,329,343,345,357,368,376,378,390,397,410,419,423,437,442,471,602,613,624,631,638,644,659,667,675,684,686,698,703,718,725,729,743,753,757,763,778,780,789,797,809,814,823,840,842,855,862,865,881,888,899,902,911,918,933,938,948,958,967,974,985,990,999,1006,1012,1025,1033,1039,1046,1058,1065,1077,1081,1091,1104,1109,1118,1126,1133,1143,1149,1159,1167,1176	1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,19,32,42,47,58,64,69,79,87,97,105,117,121,129,137,153,159,168,173,203,321,335,338,344,355,368,374,386,390,399,410,416,423,432,442,469,604,609,623,626,635,650,654,667,675,684,694,698,707,716,720,729,742,754,756,767,774,783,793,798,813,819,829,833,843,853,865,874,877,890,896,901,914,917,930,937,946,957,960,969,979,989,997,1004,1013,1024,1033,1038,1053,1054,1068,1072,1080,1088,1097,1105,1116,1126,1133,1146,1154,1159,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,14,24,30,41,48,56,65,72,81,88,96,110,113,126,133,140,145,153,168,172,199,321,329,337,350,356,363,370,382,392,397,409,414,426,429,438,454,603,611,619,629,638,650,659,664,675,686,688,699,710,717,722,736,745,748,759,767,778,780,790,801,813,822,826,836,844,849,858,869,881,884,898,908,909,922,929,941,944,951,964,975,982,987,995,1010,1013,1019,1035,1036,1050,1057,1064,1078,1082,1090,1100,1109,1115,1129,1131,1145,1151,1156,1172,1178	1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,22,29,38,43,53,65,70,77,86,101,103,116,125,129,137,149,154,164,171,316,320,333,342,351,353,361,376,386,394,395,410,416,422,433,445,600,606,614,624,633,640,647,658,668,677,680,690,696,709,713,726,736,743,748,761,763,775,782,791,798,811,818,824,833,841,853,858,873,881,882,892,905,911,917,929,936,944,951,961,971,981,989,1000,1008,1014,1020,1033,1042,1053,1058,1064,1075,1084,1089,1104,1106,1121,1128,1131,1139,1154,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,33,39,47,55,68,70,80,87,99,104,115,125,132,141,152,158,169,172,195,321,334,343,352,358,362,374,384,386,400,410,412,426,433,444,599,608,609,622,627,638,649,655,665,677,679,693,703,704,717,723,732,744,752,759,769,773,782,796,802,806,820,829,839,848,854,863,871,878,882,899,905,908,921,925,934,949,954,964,974,984,989,996,1007,1016,1022,1035,1037,1046,1061,1070,1078,1081,1094,1101,1105,1114,1122,1132,1143,1154,1159,1167,1173	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,20,28,37,50,53,60,75,84,89,98,109,116,126,130,137,148,156,162,178,181,323,335,342,351,359,368,371,380,391,403,409,415,422,433,443,597,606,615,625,627,636,645,656,663,676,678,688,698,704,716,721,732,742,746,756,770,775,781,791,802,814,821,826,831,843,852,857,871,879,883,895,901,913,918,925,937,950,955,963,976,984,989,997,1010,1015,1027,1036,1039,1047,1058,1067,1071,1082,1091,1097,1112,1117,1129,1137,1140,1155,1162,1170,1173	0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,30,40,44,52,63,70,82,93,100,104,114,123,132,144,146,154,168,174,179,320,328,340,348,355,367,372,379,395,401,411,419,424,432,440,456,603,612,623,627,637,649,658,662,669,682,693,700,707,717,725,731,743,749,755,771,772,782,788,799,813,819,827,831,842,856,860,873,880,890,899,906,908,924,931,939,946,959,960,973,980,993,998,1006,1016,1024,1033,1038,1047,1060,1066,1072,1079,1094,1098,1109,1118,1124,1131,1143,1151,1158,1169	1,1,0,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,18,29,37,46,51,65,69,80,92,99,109,115,121,133,139,148,156,166,174,182,322,330,337,349,353,363,375,383,391,399,407,412,426,434,439,448,604,609,620,631,639,645,658,667,669,679,692,696,710,714,720,733,741,749,756,768,772,788,790,799,806,822,825,835,844,849,861,867,879,883,892,901,912,924,925,936,946,958,960,974,977,986,996,1007,1013,1024,1030,1040,1052,1057,1062,1073,1079,1093,1103,1112,1119,1124,1136,1143,1149,1159,1168	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,11,24,29,38,48,56,60,72,77,85,94,104,111,119,133,143,151,156,169,175,185,323,331,338,347,357,365,375,378,393,399,405,415,421,436,439,599,608,617,620,632,637,644,660,664,676,681,691,703,711,714,727,729,744,749,755,764,777,780,795,800,813,816,829,837,846,850,860,871,876,886,893,908,910,923,932,934,947,959,966,975,981,993,994,1003,1015,1027,1029,1042,1049,1057,1063,1074,1084,1087,1104,1109,1120,1128,1134,1143,1150,1161,1167,1177	1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,18,31,35,50,55,67,71,84,90,96,105,117,119,134,139,149,160,167,178,193,319,328,343,349,355,369,375,384,390,396,407,413,422,433,442,468,602,616,620,629,641,647,653,661,677,683,693,696,708,713,728,731,739,752,762,765,774,780,793,803,807,816,828,834,848,856,865,869,877,886,899,904,915,921,929,936,945,957,964,974,981,988,997,1005,1018,1023,1029,1040,1047,1057,1066,1076,1082,1092,1101,1107,1119,1122,1136,1142,1153,1162,1171,1176	1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0
4,15,24,26,38,51,58,66,73,77,91,99,110,117,122,129,139,146,160,167,178,315,322,330,343,345,359,368,374,378,388,401,407,420,422,433,439,599,602,616,623,629,636,645,657,662,677,682,691,696,707,716,728,732,743,746,761,769,779,780,796,804,813,819,828,837,841,851,864,866,875,884,899,900,915,924,928,938,949,956,960,968,981,989,993,1004,1011,1025,1028,1042,1048,1060,1069,1077,1086,1095,1103,1107,1114,1126,1137,1140,1154,1156,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,30,40,50,52,65,74,85,93,96,109,111,127,128,142,149,158,167,171,318,320,332,341,350,360,367,373,384,387,403,404,419,425,434,445,452,608,613,623,626,643,645,656,665,671,682,692,695,710,719,727,730,740,753,762,769,775,784,797,799,811,821,828,831,846,855,864,869,877,888,896,902,909,917,929,935,948,956,966,968,985,989,1002,1008,1016,1027,1028,1037,1045,1059,1062,1073,1083,1092,1096,1108,1116,1125,1131,1143,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,19,26,38,43,55,66,75,79,93,99,107,111,120,128,139,146,155,165,173,314,318,333,341,352,358,361,372,382,387,402,406,415,425,431,443,596,608,615,623,629,641,650,659,664,674,683,686,700,707,712,720,736,738,750,759,768,777,782,791,802,807,818,831,833,846,850,863,865,881,884,892,900,914,921,929,935,946,956,964,971,983,986,999,1007,1011,1026,1033,1038,1050,1054,1068,1075,1083,1096,1102,1108,1114,1125,1134,1143,1152,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,29,40,45,55,68,76,78,90,97,107,114,126,133,138,148,156,165,175,313,320,327,338,350,356,368,377,379,393,403,406,418,422,430,438,466,601,611,622,630,642,650,654,668,673,683,692,697,706,715,728,733,744,751,758,768,779,783,789,797,805,820,823,839,844,849,861,865,880,883,894,901,916,918,928,936,948,955,965,975,985,987,999,1009,1015,1027,1034,1041,1046,1054,1066,1071,1086,1092,1102,1112,1113,1122,1138,1140,1153,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,28,38,44,58,60,70,82,93,97,108,113,122,131,138,149,154,165,179,317,323,329,339,346,359,367,369,379,388,401,408,415,426,437,439,447,607,611,623,627,635,647,660,665,674,681,686,695,703,720,722,736,739,749,758,763,778,784,794,800,811,821,823,838,843,849,863,870,876,889,896,906,913,917,931,940,946,953,963,976,981,990,995,1003,1019,1024,1029,1041,1048,1055,1069,1070,1080,1089,1103,1106,1116,1129,1136,1144,1147,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,28,37,50,55,66,71,81,89,94,108,114,121,134,141,150,156,166,176,317,318,329,338,349,360,361,372,381,387,399,403,416,423,430,444,450,604,615,622,629,638,646,652,666,670,678,694,701,710,716,722,730,740,752,759,769,777,784,792,800,806,822,828,832,843,852,859,865,880,890,891,904,910,922,932,938,947,955,961,968,979,992,1001,1003,1015,1024,1035,1040,1045,1059,1066,1070,1083,1088,1102,1106,1113,1128,1133,1140,1153,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,30,41,44,54,63,69,78,93,97,107,115,120,133,138,150,160,163,174,313,326,327,340,350,354,366,369,378,394,398,403,418,426,433,444,468,602,609,622,629,641,644,653,661,676,678,689,702,711,718,728,731,737,747,759,768,776,787,792,803,811,820,824,832,845,856,862,871,876,885,896,900,916,918,930,934,947,956,966,973,977,987,1000,1002,1015,1019,1028,1039,1051,1054,1068,1075,1079,1091,1098,1108,1121,1126,1138,1141,1150,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,28,40,49,54,67,68,82,85,102,108,112,122,134,138,148,161,166,179,316,323,329,341,347,356,366,374,381,394,397,409,418,422,435,440,468,608,616,620,633,640,650,659,668,675,680,686,695,709,715,720,734,743,749,755,767,775,781,791,802,812,817,825,834,841,853,860,867,878,887,891,903,911,918,926,942,943,954,960,968,979,993,996,1009,1013,1021,1034,1041,1049,1060,1070,1075,1080,1094,1101,1109,1117,1129,1132,1141,1152,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,28,42,46,55,60,72,81,92,95,105,113,121,130,136,145,161,166,178,186,320,334,339,349,356,368,371,384,388,399,403,416,424,435,438,599,608,616,625,627,636,646,656,662,676,683,687,697,710,719,724,732,744,747,759,767,775,788,796,797,814,817,826,832,842,850,858,867,880,883,892,902,910,922,930,940,945,955,966,969,978,991,999,1006,1016,1024,1028,1043,1052,1056,1063,1072,1083,1089,1098,1110,1119,1128,1134,1144,1151,1157,1170	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,9,20,29,38,47,58,61,70,81,87,100,109,113,123,130,139,146,157,165,171,317,324,333,339,349,360,362,371,379,394,398,403,416,428,437,442,460,601,613,625,631,635,651,657,669,670,682,688,698,706,714,726,733,739,750,759,764,772,784,796,800,809,821,828,835,840,849,864,868,880,890,896,907,908,923,932,938,944,953,968,973,978,987,997,1006,1015,1025,1028,1042,1052,1054,1068,1078,1085,1089,1101,1108,1114,1122,1134,1144,1153,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,21,25,35,46,53,66,69,81,91,94,109,112,122,134,140,152,155,162,174,313,321,328,337,347,352,361,376,384,393,395,405,417,421,433,438,600,608,610,622,628,642,651,657,668,674,680,690,695,707,714,721,736,744,749,759,770,779,783,793,804,808,819,831,838,846,852,862,871,880,886,896,900,908,921,929,935,948,957,965,968,978,987,999,1009,1014,1020,1031,1042,1052,1058,1070,1074,1086,1094,1097,1107,1114,1124,1135,1142,1151,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,30,35,47,55,62,71,83,90,97,110,114,122,130,140,145,156,167,173,316,322,333,340,350,357,366,373,379,390,400,407,413,427,436,440,469,607,613,619,635,638,646,656,660,676,684,691,696,710,714,721,735,743,749,760,769,779,786,790,803,810,818,828,833,847,856,861,870,875,889,898,904,916,921,930,938,946,954,966,973,983,990,1000,1003,1019,1022,1035,1038,1046,1059,1066,1072,1084,1089,1102,1111,1118,1128,1138,1140,1150,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,32,38,43,52,65,75,85,88,101,103,112,123,128,143,145,154,167,171,317,325,330,339,347,354,363,370,381,387,400,407,419,422,436,440,458,603,609,624,627,642,649,660,668,677,684,693,697,707,717,725,730,743,747,760,770,773,780,791,798,811,815,825,832,844,848,858,870,876,889,893,905,916,917,926,937,942,951,960,976,979,985,997,1008,1017,1024,1032,1045,1048,1054,1067,1070,1079,1087,1097,1107,1121,1125,1136,1144,1150,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,31,42,48,56,59,73,84,85,96,105,117,120,133,137,146,159,163,177,185,319,328,339,352,355,367,376,386,390,399,408,412,421,432,443,596,608,615,625,627,639,648,652,663,673,680,692,696,706,719,724,730,742,746,758,764,777,782,792,799,809,821,828,832,845,852,858,868,879,887,898,905,916,923,927,937,948,951,965,968,980,990,1001,1005,1015,1027,1028,1042,1050,1058,1062,1074,1083,1089,1101,1108,1116,1128,1131,1142,1154,1158,1164,1173	1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,11,17,31,39,44,53,62,70,85,89,97,109,114,122,128,139,147,160,163,179,317,322,328,341,352,356,363,372,384,393,396,412,414,425,430,440,599,604,613,618,631,639,650,657,664,671,681,693,700,704,715,723,733,738,751,755,768,778,788,795,804,806,818,828,836,840,849,864,867,875,887,893,901,911,924,926,934,949,957,961,972,978,989,1000,1010,1017,1027,1029,1041,1049,1059,1069,1073,1083,1089,1104,1107,1115,1125,1132,1145,1149,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,26,42,43,58,62,71,82,88,98,104,113,127,134,140,148,156,166,177,314,319,335,339,349,359,365,372,378,390,397,403,419,426,435,445,460,604,616,622,627,642,649,657,665,671,677,692,701,711,712,724,729,743,747,760,769,779,783,795,798,811,818,828,838,843,850,863,871,875,888,895,902,910,919,927,936,945,951,965,972,983,986,998,1008,1018,1020,1034,1043,1045,1060,1068,1073,1085,1092,1097,1106,1115,1122,1132,1147,1152,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,30,36,46,51,62,70,78,88,96,110,114,125,135,138,153,156,170,177,313,318,330,342,349,359,362,377,386,393,401,406,415,427,437,440,600,605,614,620,627,636,643,653,661,676,682,688,697,706,714,720,734,743,750,762,765,779,780,791,803,812,814,824,837,847,855,864,869,874,883,893,901,914,919,927,940,943,951,964,976,983,985,999,1002,1016,1022,1031,1040,1046,1058,1070,1077,1084,1094,1099,1111,1118,1126,1132,1144,1155,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,25,36,47,52,60,68,81,85,98,103,118,127,135,140,145,153,168,173,315,326,330,336,347,355,367,370,378,389,398,408,418,423,435,444,600,607,612,622,631,643,644,657,668,674,684,686,702,709,719,727,731,741,752,756,769,777,782,790,801,813,818,830,836,840,850,859,870,875,882,894,903,915,919,926,938,946,956,963,969,984,986,994,1004,1015,1022,1032,1038,1053,1054,1062,1072,1083,1088,1102,1109,1121,1122,1136,1143,1155,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,26,39,50,52,65,72,77,91,97,108,114,125,135,137,148,161,163,178,314,321,328,340,349,360,363,372,386,387,403,411,415,421,435,445,456,605,616,625,627,637,648,657,668,676,678,689,700,711,718,725,736,740,746,760,771,779,785,789,805,809,816,829,834,842,852,861,868,879,883,893,903,911,921,932,937,950,955,966,973,982,987,1002,1004,1018,1020,1030,1040,1046,1060,1065,1076,1079,1091,1103,1111,1113,1122,1137,1138,1155,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,25,37,46,54,68,69,79,89,99,104,111,124,133,138,149,158,162,176,317,323,333,337,349,359,361,375,379,393,397,409,419,420,433,439,596,603,610,621,630,635,649,653,663,672,679,687,702,710,717,726,735,744,754,760,765,774,784,793,801,806,820,825,832,845,855,858,871,874,886,893,902,915,918,926,939,944,953,960,973,983,988,996,1005,1011,1026,1029,1042,1046,1058,1062,1074,1081,1089,1102,1107,1115,1128,1135,1141,1153,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,32,39,46,54,59,75,82,88,97,109,116,127,136,144,148,160,163,177,317,319,327,338,351,355,365,376,379,394,399,410,417,423,432,441,599,605,615,626,634,638,644,657,661,674,686,690,695,704,713,722,736,742,748,756,766,778,781,795,802,812,822,826,834,846,856,865,868,877,887,892,901,913,923,929,936,944,951,960,971,981,990,998,1009,1014,1024,1032,1040,1047,1055,1068,1070,1079,1088,1098,1112,1120,1127,1137,1147,1152,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,26,35,42,53,65,76,78,86,102,109,112,128,135,137,149,158,165,178,314,326,334,340,349,357,364,371,386,393,395,408,418,425,431,445,454,605,613,618,630,640,649,653,668,676,678,687,698,704,714,722,735,743,750,758,766,777,787,790,798,813,814,830,837,846,852,858,870,882,883,891,900,914,923,930,936,945,951,966,972,984,986,994,1005,1015,1021,1034,1038,1051,1053,1065,1070,1079,1088,1099,1112,1114,1124,1137,1142,1155,1164,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,31,34,46,52,63,76,79,92,98,105,118,126,131,143,147,153,168,171,317,323,334,341,348,358,362,370,379,390,400,403,418,422,429,439,456,602,617,623,633,643,645,659,663,675,681,688,702,704,718,721,731,744,749,754,763,772,784,793,797,809,821,826,837,848,853,857,866,877,887,897,908,911,925,930,940,942,951,968,973,979,990,998,1009,1014,1027,1036,1042,1046,1055,1066,1077,1080,1089,1097,1112,1116,1130,1131,1140,1154,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,26,35,49,52,67,70,83,90,98,104,118,122,129,142,149,155,170,176,313,326,330,342,348,356,368,377,382,392,397,410,414,422,432,443,458,606,616,622,629,637,651,654,664,675,683,692,697,709,715,724,737,740,747,758,771,779,787,789,803,813,822,828,840,846,852,859,872,877,890,899,905,916,923,930,938,948,955,962,973,980,989,998,1006,1010,1020,1030,1042,1045,1055,1067,1070,1085,1089,1100,1107,1121,1125,1138,1143,1151,1161,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,22,27,42,44,57,65,74,78,91,98,102,115,119,135,141,151,154,166,172,316,320,333,343,349,357,361,376,385,394,399,406,418,427,434,441,598,606,609,618,627,642,645,656,665,672,681,689,697,710,718,721,729,744,752,762,765,774,786,788,805,813,821,830,832,842,856,864,867,881,890,891,901,908,922,931,940,945,952,962,974,983,989,997,1010,1017,1019,1030,1037,1051,1057,1066,1072,1086,1090,1101,1106,1113,1129,1130,1139,1149,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,30,39,47,56,62,68,77,90,95,107,111,121,132,140,151,156,166,173,316,325,334,338,346,353,366,372,379,390,403,406,416,423,429,438,447,606,616,622,629,639,646,655,668,675,686,692,698,709,719,728,731,738,746,755,766,775,787,795,797,811,820,827,839,844,851,857,869,881,886,892,903,910,921,930,938,947,956,965,974,982,990,995,1006,1016,1022,1035,1036,1047,1058,1065,1074,1080,1088,1100,1105,1116,1126,1138,1147,1148,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,25,32,42,46,52,66,71,83,85,94,108,117,126,133,144,147,161,168,175,185,324,332,340,345,353,369,375,384,394,396,409,420,427,433,439,598,604,617,624,632,640,644,658,662,677,679,693,701,710,715,726,731,740,751,758,770,779,782,795,799,810,816,829,836,840,851,861,872,882,886,895,904,911,919,927,937,943,957,961,970,981,986,993,1009,1011,1021,1032,1038,1052,1056,1065,1071,1083,1087,1098,1112,1115,1127,1135,1144,1147,1164,1167,1173	1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,11,21,34,36,47,51,61,70,79,86,101,105,115,122,131,142,147,157,166,171,203,318,330,337,351,353,368,372,384,394,397,412,416,428,431,445,451,604,615,619,629,636,646,652,661,673,685,688,702,708,717,728,731,738,752,760,763,773,783,796,800,810,822,826,832,845,854,861,872,881,883,895,906,913,921,933,938,946,954,961,970,980,989,995,1004,1013,1025,1029,1043,1048,1054,1062,1073,1080,1087,1101,1105,1119,1123,1137,1138,1153,1160,1167,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,10,18,30,37,43,52,61,68,84,91,98,105,111,120,131,137,151,161,168,174,179,325,335,339,348,357,368,373,386,388,395,404,419,424,437,442,471,607,610,618,630,642,649,657,664,674,680,686,698,706,720,728,732,742,751,754,768,775,783,791,798,809,821,826,835,841,853,860,867,881,886,896,900,914,922,931,942,946,954,967,970,979,988,998,1002,1017,1024,1032,1037,1049,1058,1069,1072,1086,1088,1097,1106,1121,1125,1130,1143,1148,1156,1170,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0
4,13,24,29,38,50,59,64,76,83,90,100,110,111,120,130,144,151,156,168,172,191,324,327,337,350,355,367,373,382,391,402,404,414,422,429,442,596,609,615,625,634,638,648,660,664,671,681,693,697,707,719,722,735,740,753,755,767,775,787,795,798,809,817,825,833,848,852,862,874,882,884,893,905,909,917,925,939,947,956,966,975,983,985,1000,1010,1011,1021,1029,1037,1045,1056,1069,1073,1084,1088,1103,1112,1115,1124,1138,1139,1152,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,24,34,38,43,55,65,71,79,87,98,107,113,127,134,141,145,154,166,175,182,323,333,341,345,358,363,376,381,391,398,411,415,428,434,440,597,601,614,620,630,641,643,659,668,672,678,693,702,709,717,727,729,742,748,762,766,775,781,794,798,809,821,830,834,846,849,859,867,876,883,892,902,911,918,928,938,948,951,966,975,984,990,994,1008,1011,1021,1028,1038,1050,1057,1067,1074,1082,1096,1101,1105,1121,1123,1134,1144,1153,1156,1170,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,13,19,31,41,44,58,66,70,84,90,96,108,115,120,128,140,153,158,165,175,181,324,333,337,344,360,361,370,381,390,402,409,412,425,433,443,598,605,614,625,631,638,651,654,661,674,684,694,697,710,719,726,735,745,748,759,766,777,788,795,798,810,822,831,832,848,852,860,868,877,890,892,900,913,924,931,942,946,958,961,972,980,987,998,1007,1013,1023,1032,1042,1053,1057,1067,1077,1083,1088,1098,1111,1116,1128,1134,1147,1155,1164,1168	0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
2,12,24,34,41,42,57,65,76,85,86,98,109,112,124,133,144,148,160,170,173,180,321,327,340,352,358,362,375,382,386,400,404,418,420,433,439,600,603,611,624,631,635,651,654,661,676,680,688,698,708,716,721,735,744,750,755,765,773,785,793,803,813,819,829,838,842,856,859,871,880,884,899,905,911,917,928,938,948,958,959,970,977,993,997,1002,1012,1019,1035,1042,1045,1055,1065,1077,1084,1090,1100,1108,1119,1122,1130,1139,1148,1157,1165,1175	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,17,24,28,35,44,53,66,74,81,85,102,103,111,122,128,140,151,154,168,176,182,325,332,336,348,356,368,377,385,387,399,408,413,427,430,442,467,602,614,623,627,640,643,652,665,669,685,691,699,709,717,723,730,744,746,762,768,777,787,797,800,809,814,824,838,847,851,859,866,881,890,892,901,911,919,927,937,949,957,965,975,977,987,1001,1009,1019,1024,1033,1041,1046,1054,1069,1075,1081,1092,1099,1107,1114,1127,1137,1142,1150,1159,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,20,32,40,44,53,64,70,80,87,99,103,117,126,133,143,150,157,170,173,315,321,335,340,344,353,361,373,381,394,399,410,419,424,429,440,459,607,612,620,634,635,650,655,666,676,683,691,696,709,720,726,736,740,747,759,764,779,785,791,800,808,817,829,839,845,854,858,873,880,883,892,908,912,923,933,934,950,955,966,974,983,992,998,1005,1012,1019,1029,1039,1046,1055,1068,1076,1079,1089,1096,1105,1115,1122,1133,1144,1151,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,27,34,43,52,65,69,78,85,94,104,115,119,134,139,149,155,162,172,180,322,327,343,346,356,365,376,382,386,400,409,415,428,430,440,467,603,612,623,630,643,646,657,661,674,680,686,697,709,719,724,729,744,753,758,766,776,781,794,803,812,816,831,832,844,850,858,868,875,884,894,902,914,918,925,940,943,955,960,970,982,986,994,1004,1014,1025,1030,1037,1046,1054,1064,1070,1084,1094,1103,1111,1121,1124,1137,1145,1149,1156,1169,1174	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,24,28,37,43,57,64,69,84,86,97,106,118,128,136,140,150,156,168,173,186,322,331,339,345,359,361,370,379,392,398,410,420,422,430,445,471,603,609,624,627,637,645,660,667,669,679,686,699,710,719,722,734,743,750,755,768,774,781,791,803,811,816,828,833,843,853,862,870,879,889,891,907,915,922,928,937,944,957,967,973,976,987,1001,1009,1013,1019,1028,1044,1047,1059,1066,1076,1085,1090,1100,1105,1116,1125,1133,1139,1152,1158,1169,1173	0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0
3,13,19,31,41,43,58,63,76,82,90,94,110,117,120,130,139,152,157,169,174,181,323,329,336,351,353,369,376,386,394,402,408,417,421,437,445,599,602,611,622,628,643,645,659,664,673,680,688,700,708,717,726,737,739,748,757,763,772,782,790,797,813,818,828,838,844,854,861,865,876,883,898,907,908,923,925,938,946,956,965,969,977,991,1000,1006,1011,1027,1033,1037,1047,1053,1070,1071,1084,1092,1102,1110,1120,1123,1132,1142,1150,1163,1170,1178	1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
6,11,24,26,41,43,59,66,74,80,90,94,107,112,121,131,139,152,157,167,174,193,325,332,339,351,357,365,375,380,387,400,403,416,424,430,443,456,601,616,618,630,636,644,654,666,671,684,690,696,710,719,721,734,744,753,761,766,772,788,793,797,808,814,824,834,844,854,860,869,880,886,898,904,909,919,933,934,945,956,967,975,976,988,994,1007,1014,1021,1028,1041,1049,1061,1067,1074,1085,1094,1098,1104,1120,1130,1133,1145,1150,1157,1166,1173	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,19,31,34,50,57,67,76,78,87,93,109,114,121,133,139,147,156,165,175,197,324,327,342,345,356,361,370,379,390,396,404,415,426,434,443,447,602,611,621,630,639,646,655,665,671,681,690,695,705,716,722,731,742,750,759,765,776,783,796,800,812,821,825,838,847,856,863,872,876,890,895,907,910,920,929,936,950,958,960,969,982,990,999,1010,1012,1021,1036,1040,1045,1053,1066,1076,1081,1091,1103,1110,1120,1128,1134,1142,1149,1158,1168,1175	0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,19,32,34,49,55,64,74,85,87,97,103,118,127,128,140,150,156,167,174,187,323,327,335,351,358,366,370,385,387,402,407,412,428,437,443,599,603,613,626,633,639,648,660,664,670,679,688,698,706,712,725,732,742,746,758,764,778,783,794,803,807,821,825,835,848,849,859,867,880,885,891,901,911,923,930,934,943,951,966,971,977,987,994,1007,1017,1023,1033,1044,1050,1053,1066,1076,1087,1092,1104,1106,1120,1130,1134,1146,1149,1159,1167,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,15,17,32,39,45,53,67,70,82,87,100,103,117,120,129,143,149,156,169,174,315,320,334,337,350,360,369,376,384,391,402,408,415,424,435,440,468,602,616,625,628,636,644,652,663,677,678,693,695,704,716,725,737,743,749,756,763,772,782,791,799,812,822,825,833,841,855,862,873,877,886,893,902,916,924,929,937,947,956,960,973,980,993,998,1005,1015,1026,1036,1043,1049,1059,1064,1074,1087,1094,1097,1112,1119,1130,1137,1145,1152,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,20,27,38,50,57,64,70,81,90,100,104,112,121,135,136,146,162,166,171,317,320,330,342,347,359,368,375,381,392,402,406,414,427,434,440,596,602,617,619,628,640,648,657,663,674,682,690,700,710,717,720,736,739,747,758,765,778,785,790,802,810,822,826,834,848,851,862,867,882,889,893,906,909,922,932,936,944,952,963,972,983,992,997,1008,1011,1026,1032,1043,1052,1056,1064,1070,1086,1095,1101,1113,1117,1128,1133,1143,1148,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,33,37,47,59,62,68,78,89,99,105,111,122,134,138,145,155,169,177,318,324,331,336,348,355,363,370,385,386,400,409,415,427,430,443,600,602,617,626,627,636,652,654,665,672,686,692,701,708,716,722,729,743,752,762,770,775,786,792,799,809,822,830,833,843,851,857,867,874,890,892,903,910,918,929,936,945,958,962,974,978,985,999,1007,1017,1025,1028,1043,1045,1062,1068,1077,1083,1095,1103,1110,1116,1129,1135,1145,1154,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,27,40,42,59,63,68,80,89,94,109,112,122,135,138,153,161,168,174,313,323,330,338,348,359,368,376,379,387,399,407,415,423,435,437,597,608,610,621,627,641,647,659,662,670,683,691,703,710,720,728,729,742,748,757,768,778,788,795,798,806,817,822,835,848,856,861,872,879,887,895,902,912,924,929,934,945,958,965,972,983,986,998,1002,1011,1019,1028,1044,1051,1056,1068,1078,1082,1095,1102,1109,1120,1126,1130,1145,1149,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,19,32,42,50,57,65,75,80,91,95,104,114,126,135,142,147,154,162,177,314,326,331,342,350,354,365,372,383,388,397,411,412,428,432,443,598,608,614,625,627,639,652,655,666,670,681,687,702,708,719,725,729,743,752,759,771,777,784,789,805,807,822,823,833,842,853,863,870,877,886,895,902,909,924,932,940,948,959,967,976,978,993,995,1007,1012,1021,1028,1042,1051,1060,1066,1077,1081,1090,1097,1108,1117,1123,1132,1143,1151,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,17,31,36,50,59,61,75,83,89,100,102,117,124,136,137,152,153,163,174,318,324,333,340,350,356,367,377,386,388,396,409,416,424,436,443,600,601,612,624,632,635,647,655,664,673,680,689,700,705,720,725,734,741,746,755,770,772,787,791,804,810,820,824,835,842,853,863,867,877,889,898,900,915,923,931,934,945,952,964,972,978,991,996,1009,1017,1024,1030,1040,1049,1055,1062,1070,1085,1089,1100,1110,1120,1124,1131,1146,1153,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,26,42,50,52,64,68,84,91,100,103,115,120,136,143,146,156,166,175,316,324,335,342,345,360,365,377,386,391,401,411,415,427,433,444,451,602,617,622,631,640,646,658,662,675,684,692,700,705,714,728,733,743,747,760,764,779,782,793,800,812,822,829,840,844,849,864,870,874,889,898,900,910,917,932,940,949,957,960,969,978,988,995,1006,1011,1023,1032,1041,1052,1053,1069,1074,1081,1089,1099,1112,1115,1129,1135,1142,1153,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,25,30,34,47,57,66,72,77,88,97,109,113,119,131,138,148,153,164,173,313,323,334,336,352,359,362,373,381,392,397,411,415,429,433,443,452,607,611,624,632,636,650,654,664,670,685,690,702,707,719,723,729,742,747,762,767,775,788,790,798,812,815,830,839,841,855,864,873,875,884,894,900,909,918,926,934,948,951,963,973,981,988,995,1002,1018,1024,1028,1037,1050,1054,1064,1078,1084,1088,1098,1110,1118,1125,1132,1143,1154,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,26,36,43,54,66,76,84,91,97,103,112,121,131,140,149,154,166,175,185,325,327,337,350,355,361,371,383,390,397,407,416,425,434,443,597,604,610,623,628,637,647,660,667,673,684,690,701,708,714,727,732,739,747,754,767,772,786,794,802,808,819,825,832,840,853,863,872,878,886,893,906,915,921,933,937,943,951,966,976,985,988,1001,1003,1017,1025,1033,1038,1046,1061,1069,1071,1086,1089,1104,1111,1118,1125,1132,1146,1155,1157,1167	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,13,21,28,36,44,53,63,73,83,93,95,108,113,124,131,144,147,158,164,178,317,324,334,339,347,352,362,371,381,393,399,410,412,421,435,446,598,601,614,623,628,637,645,658,668,672,679,690,701,707,715,728,732,740,750,754,769,774,787,792,797,807,821,828,837,846,850,859,867,875,886,896,907,912,919,933,936,942,952,963,971,980,993,1001,1008,1012,1022,1030,1038,1052,1060,1066,1074,1085,1095,1102,1105,1113,1124,1130,1144,1147,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,26,39,42,56,62,72,77,91,100,110,116,122,133,143,150,161,166,175,313,318,332,337,351,360,364,373,384,395,396,408,418,427,430,438,600,602,610,622,630,640,649,654,663,669,684,691,698,707,715,723,729,743,748,756,763,772,781,788,804,812,820,825,837,846,853,863,870,881,887,891,901,908,924,932,934,945,957,962,969,981,992,1002,1004,1013,1022,1030,1040,1045,1057,1069,1071,1080,1092,1101,1107,1114,1128,1131,1139,1153,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,25,40,50,52,64,71,81,87,94,102,113,124,131,144,151,162,167,174,316,320,334,339,347,356,363,376,384,390,397,403,417,428,437,445,468,606,614,619,628,636,651,657,662,674,678,687,696,710,718,721,736,742,752,759,765,772,782,792,800,812,818,829,837,848,853,860,867,877,886,896,901,912,920,932,935,947,955,966,970,979,986,1000,1008,1015,1023,1028,1041,1046,1057,1065,1075,1082,1093,1101,1112,1116,1123,1133,1143,1154,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,31,41,48,59,62,72,79,93,98,103,118,120,129,142,149,161,166,175,316,325,328,338,350,355,369,374,379,394,396,411,415,424,429,446,599,606,617,623,634,641,643,655,666,675,685,694,695,706,719,721,731,744,752,759,766,779,788,792,803,812,819,827,836,845,850,858,871,875,886,896,908,912,925,931,934,950,958,963,975,983,993,994,1005,1015,1024,1036,1044,1050,1057,1069,1071,1087,1091,1099,1106,1121,1123,1136,1147,1155,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,26,39,43,51,60,69,77,87,98,109,118,122,135,141,148,156,162,174,192,326,329,337,352,356,368,376,379,391,399,408,417,428,431,439,462,608,617,624,627,641,647,652,669,677,681,693,702,710,718,729,735,742,750,761,768,777,781,792,804,808,819,827,832,846,855,863,871,881,890,895,900,916,920,926,940,948,951,963,975,983,985,996,1007,1012,1022,1032,1041,1049,1061,1067,1077,1079,1094,1096,1106,1117,1128,1131,1141,1151,1160,1165,1178	0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,31,37,48,57,65,70,83,92,98,102,112,121,133,138,146,159,164,172,313,323,330,341,344,355,364,372,383,391,399,409,412,420,435,445,596,605,614,621,626,639,646,655,664,673,678,688,696,711,715,726,732,744,752,759,768,779,786,793,804,807,818,826,832,841,852,864,868,875,886,891,908,915,917,930,942,946,952,966,976,982,989,1001,1003,1016,1019,1029,1041,1045,1060,1067,1079,1082,1090,1104,1107,1116,1123,1131,1140,1147,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,19,26,41,48,55,59,75,77,89,100,102,116,124,134,136,148,154,166,174,314,321,331,338,346,353,368,375,383,394,399,405,419,425,433,438,596,607,612,623,634,639,647,657,666,670,682,691,698,705,716,726,735,738,747,762,770,778,781,792,805,811,815,829,834,846,853,862,869,882,885,895,900,915,920,928,939,946,952,965,974,979,990,994,1003,1011,1021,1035,1041,1052,1056,1067,1071,1080,1089,1096,1107,1118,1128,1136,1142,1154,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,25,32,42,45,57,64,72,80,86,95,104,114,127,130,140,150,155,169,178,318,321,327,338,350,357,367,370,381,393,401,404,413,422,437,444,456,601,610,624,633,635,650,653,661,671,682,691,698,704,718,726,734,740,751,755,767,779,788,789,800,809,815,824,832,842,850,858,865,877,882,893,906,910,924,933,941,943,955,961,968,976,992,995,1009,1011,1027,1032,1044,1046,1054,1064,1071,1083,1090,1100,1110,1120,1125,1133,1139,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,33,39,42,52,67,69,78,86,101,106,111,124,135,144,145,159,168,172,313,321,328,335,351,353,368,374,385,390,398,405,418,424,433,438,599,605,617,621,633,638,651,659,666,673,677,690,702,710,720,726,730,738,754,760,764,775,783,796,802,812,815,826,832,846,850,858,869,880,889,893,906,914,918,928,941,943,952,967,969,984,986,1000,1009,1013,1022,1030,1038,1046,1055,1065,1077,1084,1090,1103,1111,1119,1125,1135,1142,1152,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,28,38,47,58,63,74,82,93,101,109,117,123,130,138,148,161,165,171,315,324,332,338,346,353,367,370,385,388,401,403,414,423,435,443,599,607,614,619,628,637,645,653,660,670,685,691,697,705,715,727,731,743,752,756,764,780,784,789,801,808,815,829,839,843,853,863,866,880,890,892,907,915,924,933,940,948,951,967,973,977,986,997,1007,1017,1021,1032,1039,1048,1059,1068,1073,1081,1088,1102,1109,1118,1126,1132,1140,1149,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,17,26,35,49,52,61,73,77,91,102,110,116,125,136,138,148,156,165,172,314,323,330,339,348,360,362,369,384,390,400,410,415,427,434,439,454,603,611,625,632,639,648,652,662,677,679,687,698,707,716,724,731,740,752,757,768,773,785,795,799,810,817,831,834,842,854,859,873,876,890,892,900,910,923,926,938,942,958,963,971,978,992,999,1010,1015,1027,1032,1039,1053,1054,1067,1071,1086,1094,1100,1109,1121,1126,1134,1143,1148,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,33,39,43,59,64,69,80,88,94,109,111,123,131,143,151,157,163,173,314,325,329,342,352,355,364,376,382,390,398,410,416,425,430,441,598,602,614,624,630,639,645,654,667,669,686,693,698,707,713,723,730,739,750,756,764,772,784,794,799,808,822,827,834,843,848,860,871,876,887,896,906,912,921,927,934,949,957,963,973,983,985,1001,1006,1014,1024,1033,1042,1049,1057,1070,1075,1087,1095,1102,1109,1119,1127,1137,1141,1148,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,30,42,44,52,67,76,78,90,99,106,117,122,134,143,147,161,168,170,314,325,335,339,345,356,368,373,380,392,401,406,415,427,436,438,453,606,609,619,631,635,647,653,664,670,678,690,698,709,713,727,736,738,748,763,770,774,783,796,797,814,815,824,836,843,851,860,870,880,885,893,902,916,918,927,941,946,956,966,974,983,992,994,1010,1017,1022,1032,1037,1046,1062,1063,1078,1082,1095,1104,1108,1120,1127,1134,1143,1147,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,25,41,50,59,61,73,85,86,94,107,113,120,131,136,149,157,169,177,318,322,330,343,347,354,365,373,379,392,397,412,418,426,429,445,596,604,613,618,628,640,651,652,668,670,683,692,700,703,718,723,733,739,752,755,764,779,787,795,799,812,818,827,836,844,854,864,868,878,885,893,903,909,920,928,940,946,957,960,974,979,987,995,1003,1012,1023,1030,1041,1049,1060,1064,1078,1083,1093,1102,1106,1114,1128,1137,1141,1155,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,30,38,45,54,66,74,77,90,99,111,115,122,136,138,148,160,163,175,317,321,328,338,343,355,366,375,382,391,400,405,417,422,435,439,454,603,615,622,633,637,647,654,667,675,685,690,700,710,720,727,730,739,754,760,769,777,781,792,798,809,814,830,834,848,851,858,873,876,883,897,907,909,920,932,934,948,956,959,971,977,986,994,1008,1017,1023,1034,1040,1047,1056,1063,1072,1082,1095,1096,1107,1118,1122,1134,1138,1150,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,28,41,48,53,65,69,82,86,95,103,117,120,136,137,147,157,165,171,317,322,328,338,351,357,366,375,382,393,395,409,418,428,436,440,465,607,613,622,627,641,649,653,662,674,685,689,700,704,718,727,729,745,748,762,771,772,785,790,804,810,822,824,836,843,849,858,870,879,890,896,900,914,925,932,935,950,954,965,968,982,991,994,1003,1017,1025,1035,1037,1049,1060,1065,1073,1082,1090,1097,1111,1117,1124,1132,1147,1148,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,27,42,47,53,67,76,80,92,100,110,114,127,128,141,147,155,166,171,315,326,333,339,352,357,365,372,385,388,402,406,415,422,436,445,599,608,617,621,629,640,649,659,663,676,682,690,697,705,713,727,733,743,751,755,767,779,780,794,799,808,822,823,834,842,853,864,866,882,890,893,903,915,917,931,940,946,956,962,971,977,992,1001,1003,1011,1022,1032,1044,1045,1056,1067,1078,1082,1091,1099,1110,1118,1123,1134,1147,1150,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,32,38,47,58,63,71,77,92,97,102,115,120,129,143,151,158,170,178,203,325,332,337,347,356,368,376,379,390,398,405,415,427,433,439,459,605,615,625,633,642,650,656,668,675,678,687,700,707,717,728,731,739,754,757,770,772,786,795,798,813,819,823,835,840,854,861,871,881,886,893,902,913,924,933,938,943,954,962,975,985,989,996,1002,1018,1027,1032,1038,1051,1054,1067,1071,1085,1091,1101,1113,1121,1126,1134,1143,1155,1163,1169,1177	0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,14,17,33,42,50,58,64,69,81,86,99,105,111,119,134,137,151,158,162,173,183,324,334,343,349,353,365,373,384,390,396,412,418,424,434,439,599,607,615,621,631,642,647,654,667,669,680,688,696,705,716,722,730,743,747,755,767,776,784,796,804,806,821,827,832,844,852,864,869,881,884,892,905,908,920,926,937,947,952,961,976,977,989,1000,1004,1012,1026,1030,1042,1051,1057,1065,1072,1080,1088,1097,1110,1121,1122,1133,1139,1147,1161,1171	1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
8,14,23,29,39,44,59,61,74,80,93,94,111,114,123,132,139,147,156,169,175,185,322,333,338,347,359,368,372,380,391,400,407,416,427,433,437,599,606,616,621,630,642,644,655,665,671,679,687,698,707,718,721,732,744,749,759,764,774,787,796,797,810,814,829,834,841,856,862,870,878,889,896,901,910,919,925,936,943,951,965,973,979,991,1001,1003,1015,1020,1030,1041,1053,1061,1064,1074,1080,1090,1099,1107,1116,1128,1131,1145,1148,1156,1168	1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,31,34,44,55,60,76,77,91,101,109,113,126,131,140,151,161,165,174,194,326,334,342,345,356,362,376,385,387,401,404,416,426,434,441,454,603,609,624,631,637,648,657,666,673,684,686,699,706,716,722,736,740,749,759,770,773,788,793,799,808,821,824,833,846,854,858,869,878,890,893,906,916,924,933,937,944,958,967,968,980,991,995,1004,1017,1027,1028,1040,1048,1055,1068,1075,1080,1089,1103,1109,1121,1129,1137,1141,1155,1158,1165,1173	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,11,18,32,42,46,56,66,68,79,89,100,102,114,121,131,142,150,153,163,176,190,319,331,341,345,352,368,372,379,387,395,410,412,423,437,443,457,606,613,622,629,635,643,652,663,675,681,689,701,710,719,722,735,737,749,757,767,776,784,790,800,813,819,829,838,842,856,861,870,874,889,891,901,914,918,928,938,949,954,966,973,981,987,994,1003,1018,1023,1032,1038,1049,1058,1069,1072,1085,1091,1103,1108,1116,1123,1134,1145,1152,1156,1168,1174	0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,22,31,38,45,58,59,70,85,91,98,104,114,119,133,141,151,156,165,174,194,323,334,338,347,354,365,370,383,390,397,408,420,421,429,442,599,607,611,623,626,636,644,654,662,670,686,694,698,706,714,721,729,744,747,760,769,780,786,791,805,813,816,828,834,840,849,865,870,877,887,899,905,912,921,925,941,947,956,963,975,983,987,1002,1003,1015,1019,1035,1039,1051,1061,1069,1071,1082,1091,1100,1113,1119,1127,1136,1139,1152,1159,1172,1177	1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,9,25,28,41,49,54,61,68,82,86,102,109,114,121,130,140,145,155,167,171,190,323,328,341,344,356,369,370,386,394,399,409,417,422,434,439,599,606,616,619,630,638,651,653,667,677,681,691,700,710,712,725,733,737,749,759,766,778,781,795,802,810,821,823,832,841,852,860,868,876,883,897,905,916,918,927,940,950,952,964,972,983,989,994,1005,1015,1020,1032,1044,1048,1058,1069,1074,1081,1093,1097,1108,1120,1127,1132,1145,1150,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,14,23,26,38,50,57,62,70,78,88,100,108,117,124,134,139,153,158,166,172,188,324,328,338,348,357,367,369,385,390,400,406,420,425,433,445,463,608,614,626,633,636,648,659,663,669,679,691,697,706,713,722,734,743,751,760,763,779,780,791,799,810,815,824,832,840,856,863,871,877,890,892,901,913,918,933,937,944,958,961,971,980,987,1000,1003,1016,1024,1032,1037,1046,1059,1067,1072,1079,1092,1098,1108,1113,1122,1138,1140,1149,1156,1169,1175	1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
6,14,21,30,39,43,52,61,71,83,88,97,105,117,127,134,139,153,157,163,172,313,321,330,340,351,354,365,374,385,388,397,409,420,424,429,445,598,606,616,619,629,636,649,660,663,676,679,694,695,710,714,720,735,741,751,762,768,774,787,795,798,811,814,830,833,846,851,862,870,881,886,896,902,915,921,928,935,949,952,960,975,984,988,998,1010,1011,1021,1033,1041,1049,1060,1063,1078,1085,1095,1101,1111,1120,1126,1137,1145,1154,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,33,39,44,53,61,71,80,91,96,106,119,126,131,140,150,156,169,170,188,321,330,336,348,358,363,370,384,389,396,405,419,420,430,443,596,606,611,619,628,636,646,653,667,671,683,694,699,704,713,726,729,740,754,761,763,777,786,794,805,807,821,828,837,843,848,860,871,879,885,893,906,909,923,931,934,948,953,964,972,976,985,995,1007,1014,1022,1032,1039,1047,1055,1066,1071,1080,1093,1096,1111,1116,1123,1137,1140,1155,1159,1172,1177	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,15,17,27,42,49,55,60,75,80,87,96,106,112,122,128,139,149,153,164,177,185,319,332,338,352,354,363,377,383,387,396,403,415,423,434,444,597,602,612,620,633,635,644,653,662,674,681,691,699,704,714,724,733,741,751,762,771,778,786,794,799,813,818,829,837,843,856,859,870,875,890,899,906,913,922,926,941,943,959,965,975,980,991,997,1004,1014,1027,1029,1036,1045,1060,1067,1077,1085,1095,1104,1105,1116,1128,1137,1139,1152,1160,1169,1176	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,17,24,32,35,46,53,67,72,83,89,94,107,116,125,131,142,148,157,164,173,190,325,335,342,345,354,365,376,386,390,397,405,414,421,434,441,600,606,616,620,630,638,652,660,665,670,683,694,697,705,713,722,733,742,752,761,770,777,788,789,803,807,815,828,831,847,849,862,873,875,884,898,906,915,917,931,941,950,952,964,974,983,988,998,1003,1015,1026,1032,1044,1045,1055,1069,1074,1079,1092,1097,1112,1117,1124,1136,1140,1155,1163,1171,1175	0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,13,19,25,39,50,54,66,74,84,85,98,107,114,122,135,142,147,158,164,177,189,324,332,340,351,357,363,369,383,389,403,410,413,427,435,442,598,604,613,620,626,639,651,657,663,669,677,691,699,704,717,724,729,745,748,755,769,774,783,790,799,811,822,829,834,844,851,864,872,878,884,899,905,911,920,926,934,949,952,961,968,981,986,994,1004,1015,1023,1033,1040,1053,1055,1068,1074,1082,1089,1103,1108,1121,1125,1134,1140,1151,1161,1171,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,13,17,32,40,49,57,63,68,79,85,98,106,116,125,135,139,151,161,162,177,200,321,333,340,347,357,369,377,384,391,402,411,417,429,433,444,598,603,615,620,630,636,649,652,665,671,684,689,702,708,719,726,731,738,753,757,768,775,782,790,797,813,818,828,832,845,849,861,866,878,886,895,906,916,917,929,934,946,956,965,969,976,992,997,1007,1016,1026,1033,1040,1051,1062,1068,1073,1080,1090,1098,1112,1118,1129,1132,1146,1153,1164,1167	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,8,19,28,39,49,54,59,71,85,91,99,107,111,127,132,143,149,153,169,177,193,325,333,337,352,356,363,370,384,390,397,406,420,423,433,439,461,607,613,622,633,643,649,657,667,671,678,692,696,707,717,722,735,740,747,760,765,777,786,788,804,806,816,827,836,846,853,865,874,879,886,897,902,911,917,928,935,950,952,962,970,976,985,1000,1002,1011,1020,1034,1039,1046,1061,1066,1076,1083,1093,1104,1110,1116,1124,1137,1142,1150,1160,1168,1175	0,0,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,20,28,39,45,58,64,76,78,91,98,104,114,122,135,139,149,158,167,176,314,318,331,339,350,353,364,377,381,389,402,408,418,423,436,445,597,601,611,620,630,635,643,656,661,675,680,693,696,711,716,726,734,742,746,754,768,772,786,792,799,807,820,823,833,846,848,863,869,876,888,898,907,908,923,926,937,944,952,964,974,981,993,994,1004,1016,1020,1030,1043,1052,1055,1069,1073,1083,1095,1099,1105,1119,1126,1132,1144,1155,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,33,38,48,58,64,76,84,86,96,102,118,127,131,140,152,158,165,178,316,324,333,338,350,356,362,370,379,389,400,410,414,425,433,438,598,602,614,624,632,640,649,658,664,670,677,688,700,704,713,723,729,744,747,760,765,779,782,789,801,811,817,825,835,844,855,861,867,881,890,891,904,916,918,928,940,943,951,965,969,979,989,997,1003,1013,1022,1029,1039,1052,1060,1068,1074,1084,1094,1103,1112,1114,1127,1136,1138,1151,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,21,30,39,46,53,67,73,80,89,101,110,114,121,135,142,145,154,166,177,316,326,332,341,349,356,368,374,384,387,399,409,418,424,431,439,449,605,617,624,632,635,648,653,664,672,681,688,698,707,719,724,733,742,750,755,764,772,788,789,800,805,816,823,835,841,852,859,868,877,887,895,902,915,920,929,941,945,959,964,976,983,990,997,1007,1019,1021,1035,1037,1052,1061,1064,1079,1086,1088,1097,1111,1119,1129,1131,1147,1154,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,24,27,36,49,58,60,74,79,89,97,107,119,127,131,136,150,156,164,172,317,326,331,339,351,356,368,375,378,388,402,411,413,423,433,441,466,606,617,621,633,637,647,659,665,673,683,688,700,706,717,728,734,739,750,760,768,774,782,793,800,812,820,824,837,847,853,860,869,878,887,894,900,914,924,929,934,942,957,967,973,980,988,1002,1009,1013,1020,1031,1038,1047,1053,1068,1076,1079,1091,1104,1110,1115,1123,1138,1145,1147,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,27,34,49,52,60,75,80,89,102,104,111,123,132,137,145,155,169,170,317,319,329,337,350,356,362,374,385,391,398,405,413,428,433,446,449,603,614,619,630,635,648,655,664,673,684,686,699,704,715,721,734,738,746,755,763,774,783,796,804,812,815,826,838,847,850,863,873,880,890,892,901,913,924,926,936,943,953,963,970,977,985,1001,1007,1013,1027,1032,1044,1045,1061,1066,1077,1086,1095,1097,1105,1119,1122,1137,1144,1148,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,30,34,44,51,60,73,80,93,96,103,117,120,131,140,146,154,167,177,313,326,330,343,350,353,367,376,385,390,401,407,413,421,437,439,463,603,614,619,628,639,646,658,664,669,682,687,695,710,718,728,730,746,748,755,770,772,784,791,803,808,820,829,832,844,853,860,871,874,889,899,906,913,921,926,936,942,951,967,972,983,992,996,1009,1013,1024,1030,1036,1050,1059,1063,1076,1084,1093,1096,1109,1119,1124,1137,1145,1152,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,29,40,46,58,60,72,79,89,100,107,114,128,134,144,146,161,169,172,313,320,333,337,345,358,369,372,386,389,403,407,419,426,431,441,598,608,610,619,631,640,647,658,661,672,680,694,699,706,716,720,736,743,753,761,770,772,787,794,799,806,815,828,839,844,849,861,872,880,885,894,901,909,924,926,937,948,954,962,974,979,988,995,1005,1011,1026,1033,1041,1050,1056,1068,1077,1082,1089,1102,1112,1121,1128,1135,1142,1148,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,26,35,43,57,63,76,83,89,99,105,111,119,134,143,150,160,162,173,313,323,334,342,349,359,366,372,384,393,400,411,415,422,437,442,598,602,614,624,627,642,651,659,665,672,680,694,698,709,714,726,733,738,748,756,764,776,781,789,802,807,821,831,835,848,850,860,867,878,888,898,905,914,918,931,934,947,954,961,975,979,986,998,1005,1019,1022,1031,1036,1051,1055,1066,1072,1085,1094,1102,1107,1116,1122,1134,1142,1155,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,26,34,45,59,61,71,81,93,95,108,113,127,128,139,148,158,164,173,182,318,333,339,349,358,361,374,383,387,402,407,413,427,432,438,597,601,616,621,633,636,645,654,664,675,679,688,698,708,713,727,735,741,752,761,771,777,785,794,802,808,822,827,832,847,849,862,866,875,886,892,901,914,919,928,939,943,952,964,973,978,992,996,1003,1014,1024,1036,1041,1052,1060,1064,1071,1086,1088,1101,1112,1116,1123,1135,1142,1154,1156,1172,1176	0,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,14,23,25,39,43,54,66,75,83,92,94,104,118,120,130,143,150,159,167,174,315,321,332,343,346,360,364,374,383,389,398,407,418,425,433,438,597,602,612,622,627,642,649,656,667,675,685,694,700,706,717,723,732,740,749,755,765,774,787,791,805,814,818,827,839,846,850,858,868,879,887,898,907,911,917,930,936,944,952,965,976,980,989,996,1007,1015,1019,1034,1037,1046,1054,1068,1071,1081,1091,1101,1107,1116,1122,1132,1146,1150,1164,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,25,41,47,52,63,74,82,88,94,105,116,123,129,144,153,159,169,177,313,318,330,337,349,359,365,375,378,391,400,405,416,420,430,438,448,609,611,623,634,640,648,653,663,669,679,692,702,708,718,725,731,738,750,759,765,780,788,796,802,810,817,828,832,841,850,858,868,879,886,895,901,916,920,930,936,951,957,966,974,984,989,994,1005,1015,1022,1033,1037,1052,1056,1070,1077,1085,1091,1101,1112,1119,1121,1133,1146,1149,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,20,30,37,50,52,60,70,82,89,98,103,119,120,131,137,150,160,168,178,317,320,333,337,351,358,365,377,382,391,402,409,417,423,435,446,457,607,613,620,627,637,649,659,667,670,683,688,701,703,719,724,733,741,750,759,763,779,783,789,802,807,817,824,838,846,853,865,870,874,883,897,907,913,921,927,938,944,958,964,968,981,991,997,1007,1018,1019,1036,1037,1047,1055,1067,1072,1087,1090,1098,1108,1121,1123,1131,1143,1151,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,17,28,38,50,56,65,70,76,91,100,105,117,122,130,139,151,157,166,178,316,324,330,335,349,355,367,377,385,395,401,408,420,422,430,445,451,601,613,623,631,641,649,655,666,671,683,687,696,711,717,725,729,745,754,762,770,774,786,794,802,808,816,827,838,848,850,860,873,880,883,896,906,913,917,927,941,947,956,965,974,982,992,999,1002,1014,1019,1035,1039,1050,1059,1068,1076,1081,1092,1097,1104,1117,1129,1137,1140,1152,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,32,38,44,53,61,74,84,91,99,110,119,121,134,140,149,160,164,175,179,324,335,338,345,357,368,377,380,388,400,407,412,422,429,441,598,601,616,626,631,642,643,652,665,676,681,688,702,711,715,726,731,743,754,760,766,778,782,792,802,812,819,824,838,843,852,864,870,880,889,893,904,908,918,933,934,950,953,960,969,983,988,999,1003,1017,1026,1028,1043,1053,1061,1068,1074,1085,1090,1101,1108,1121,1124,1135,1145,1154,1160,1169	0,0,1,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,17,31,34,49,52,64,73,82,86,97,109,111,122,134,137,146,159,162,174,313,324,331,343,344,358,366,376,379,390,398,404,414,427,434,441,463,606,610,626,630,640,650,660,661,672,682,692,699,707,715,727,731,742,753,759,765,780,782,792,798,809,815,825,838,846,855,863,874,880,886,891,900,911,917,930,937,949,952,966,975,981,985,994,1008,1012,1020,1035,1036,1048,1058,1070,1075,1080,1095,1101,1107,1119,1128,1134,1142,1153,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,21,32,40,43,58,67,73,78,88,99,110,113,126,132,141,147,161,166,177,315,325,328,342,346,355,364,374,386,392,400,407,419,422,433,441,596,603,615,618,633,638,643,660,665,673,681,690,698,710,713,723,733,741,751,759,771,773,781,795,804,813,817,826,833,847,856,860,868,882,890,892,904,916,922,927,940,949,951,962,968,983,991,998,1008,1017,1023,1029,1041,1052,1054,1062,1072,1082,1089,1097,1106,1116,1130,1134,1143,1148,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,22,32,38,49,52,67,72,82,86,95,110,117,119,133,138,152,159,168,173,313,318,329,340,350,358,362,371,379,387,398,407,415,423,433,439,600,601,617,626,631,636,650,657,667,670,683,689,699,707,718,724,731,743,750,760,766,775,788,789,803,809,817,826,835,842,849,864,866,879,885,899,904,909,924,929,942,948,956,964,973,978,991,1000,1002,1014,1021,1035,1039,1051,1060,1068,1075,1084,1093,1103,1106,1117,1121,1135,1139,1150,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,19,26,38,48,58,62,70,83,93,94,109,113,124,135,142,146,159,164,176,313,324,331,341,349,352,362,377,385,390,402,406,414,427,431,445,596,603,613,624,631,638,647,652,662,675,682,687,702,703,713,720,729,738,751,759,768,774,787,790,804,810,821,825,836,848,851,865,870,881,883,899,905,909,923,928,938,947,958,963,972,983,989,998,1005,1012,1019,1028,1040,1050,1053,1067,1072,1080,1088,1100,1108,1117,1129,1132,1141,1152,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,33,36,47,53,64,74,82,92,99,110,115,123,132,137,149,160,165,175,314,324,332,336,349,358,361,371,385,389,402,409,416,422,431,445,596,601,617,624,630,640,643,658,662,676,682,692,699,705,718,722,737,742,752,757,766,778,784,794,798,814,819,829,833,847,852,858,873,879,889,897,904,912,924,929,941,945,951,964,972,982,991,998,1008,1011,1026,1028,1042,1050,1058,1067,1072,1080,1094,1104,1110,1116,1129,1131,1139,1153,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,29,35,45,54,62,75,80,85,99,105,118,123,131,137,149,154,162,172,314,322,331,337,351,359,362,375,380,393,396,411,414,422,432,444,465,602,614,619,633,642,650,660,664,677,680,692,697,710,717,721,732,743,753,757,766,778,786,792,805,812,822,830,835,841,853,861,873,882,884,897,905,914,917,930,939,944,954,967,974,978,993,1002,1005,1017,1026,1034,1043,1051,1053,1068,1074,1086,1089,1099,1112,1118,1124,1131,1143,1148,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,28,37,48,54,61,74,84,87,98,110,114,122,133,143,145,155,163,173,317,322,327,339,346,355,365,375,384,388,402,404,413,428,432,442,596,602,617,625,629,636,648,659,667,672,680,694,699,709,714,728,729,743,747,755,766,778,785,794,798,814,815,831,833,843,850,858,868,875,885,894,902,912,918,932,940,948,956,965,971,980,990,997,1005,1015,1022,1034,1043,1047,1056,1066,1076,1084,1096,1102,1112,1118,1126,1133,1146,1149,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,31,37,45,56,65,68,78,86,100,105,116,121,134,138,146,158,163,176,315,324,331,340,349,356,364,376,382,390,399,409,414,424,436,438,454,602,616,624,626,641,650,658,667,675,685,689,698,708,713,725,729,739,752,761,768,778,784,793,799,810,818,831,837,841,853,861,871,881,885,896,907,915,924,930,938,949,956,965,975,980,986,997,1006,1011,1025,1034,1044,1051,1056,1068,1077,1084,1094,1103,1111,1120,1123,1132,1143,1153,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,24,31,38,49,53,65,75,77,92,94,109,115,127,133,141,148,154,164,176,313,323,329,338,351,356,363,377,378,393,402,408,415,423,430,437,462,606,616,624,628,640,651,655,667,676,686,691,696,706,717,726,730,743,752,757,765,779,787,789,800,808,816,822,833,846,850,863,872,875,891,897,900,909,917,930,938,947,953,962,971,985,989,995,1007,1018,1020,1035,1040,1045,1059,1064,1078,1079,1093,1102,1110,1114,1123,1137,1143,1155,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,32,34,42,57,63,69,78,87,98,107,114,121,130,142,147,161,168,174,315,320,330,341,351,359,367,377,379,389,395,408,419,429,430,440,449,602,614,624,628,636,648,658,660,673,682,693,697,708,716,727,732,743,753,762,764,776,783,795,798,812,818,824,832,840,850,859,873,881,891,894,905,909,916,927,938,944,954,962,975,976,992,996,1002,1011,1023,1032,1041,1048,1061,1062,1073,1084,1090,1103,1112,1117,1128,1136,1140,1150,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,33,36,44,58,61,74,85,88,97,102,111,127,135,137,149,158,164,174,317,319,330,337,348,354,361,376,382,390,396,410,417,427,431,445,468,605,613,619,630,637,651,660,668,675,681,686,701,703,712,727,736,738,754,759,764,773,784,793,805,806,816,825,836,846,852,860,872,876,884,891,907,914,921,932,934,948,953,962,972,978,992,1001,1008,1011,1024,1035,1036,1053,1061,1065,1070,1083,1095,1097,1108,1113,1121,1131,1142,1154,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,21,31,41,50,55,66,76,78,91,96,110,113,122,136,144,150,158,162,173,316,323,326,337,350,352,367,377,379,395,401,410,414,424,433,444,448,608,610,621,626,637,651,654,666,672,681,689,701,709,715,725,732,742,748,758,771,774,781,793,803,810,821,829,836,841,856,862,866,874,883,898,907,911,921,926,938,948,956,961,969,984,993,995,1005,1017,1022,1033,1039,1049,1059,1063,1072,1080,1095,1102,1106,1118,1125,1136,1140,1149,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,19,31,41,50,51,60,73,78,91,100,107,117,126,129,142,152,157,170,178,183,323,330,335,345,352,364,372,378,392,399,403,415,425,435,444,600,604,617,624,627,635,651,659,667,669,680,692,695,711,717,728,736,739,749,763,770,773,788,791,799,806,820,828,837,844,850,864,873,879,891,894,902,911,919,932,937,945,953,963,970,979,992,996,1007,1018,1020,1028,1043,1051,1059,1065,1074,1079,1088,1099,1108,1116,1124,1133,1144,1148,1156,1168,1174	1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,12,17,30,40,46,55,62,75,78,92,94,110,118,120,131,142,146,156,167,173,179,320,330,337,345,357,364,376,380,387,397,405,416,426,436,444,598,606,614,620,631,643,650,654,666,672,684,693,701,703,712,722,736,745,754,758,769,780,784,795,797,809,816,829,832,845,856,862,874,880,884,892,901,911,917,929,940,945,951,964,970,977,993,996,1003,1011,1021,1032,1042,1052,1060,1062,1073,1086,1093,1102,1110,1114,1122,1136,1146,1152,1163,1171,1173	1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,23,30,36,50,55,62,76,80,88,101,106,116,127,132,138,153,158,163,172,189,324,335,336,345,353,367,370,379,387,397,404,415,423,433,446,598,601,611,624,633,637,648,653,668,669,678,694,698,705,717,723,734,743,752,756,769,777,781,792,805,809,820,823,837,845,850,863,869,879,891,899,906,916,924,929,934,948,958,960,974,984,988,998,1003,1019,1027,1032,1042,1045,1060,1062,1076,1080,1089,1102,1107,1115,1122,1130,1139,1150,1160,1165,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,31,34,46,54,63,70,78,89,98,107,116,119,132,141,149,155,166,178,185,324,333,342,346,357,367,375,378,389,399,410,417,421,432,438,466,603,615,621,627,639,646,660,667,670,684,692,699,705,715,723,730,739,751,755,768,779,785,789,801,812,820,824,837,843,851,864,870,874,890,896,908,913,918,930,940,950,953,962,975,982,987,995,1004,1014,1021,1033,1037,1047,1054,1063,1071,1081,1093,1102,1112,1114,1122,1136,1141,1155,1160,1168	0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,10,19,29,38,44,57,60,69,79,86,101,107,112,120,132,141,150,159,164,177,185,322,326,343,351,356,364,372,386,388,398,403,415,420,433,445,470,608,613,626,629,639,645,657,667,670,683,694,697,707,714,726,732,740,751,759,766,777,780,789,801,812,815,830,834,843,848,862,865,877,887,891,901,911,917,933,936,944,955,963,969,984,985,996,1007,1016,1025,1030,1044,1046,1057,1065,1073,1081,1095,1104,1106,1118,1122,1134,1139,1152,1160,1168,1175	0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,17,33,37,43,59,67,76,79,87,95,106,117,124,135,138,148,162,163,171,180,320,330,342,348,358,364,373,385,392,399,410,413,422,436,440,470,604,617,618,635,641,651,657,661,676,684,690,698,704,716,725,729,745,752,763,767,774,784,796,803,810,820,827,838,844,853,861,868,882,890,897,901,915,920,932,940,943,953,962,974,983,990,994,1003,1014,1027,1028,1044,1046,1059,1067,1077,1080,1093,1098,1111,1118,1127,1131,1140,1153,1161,1169	0,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0
4,12,20,32,35,44,51,62,70,80,90,96,108,112,124,133,140,150,161,163,177,181,325,329,341,350,360,363,377,385,389,402,406,412,423,436,441,447,605,616,624,632,638,648,660,668,675,684,686,699,708,716,722,736,739,747,759,767,772,787,796,803,809,815,830,836,842,854,863,872,880,887,894,905,915,923,927,940,947,954,960,972,983,985,997,1005,1011,1026,1031,1043,1046,1058,1068,1071,1087,1090,1098,1107,1119,1126,1137,1143,1151,1158,1166,1177	1,0,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
5,16,21,31,35,48,57,67,76,77,90,96,108,114,122,130,137,152,154,163,173,317,321,329,341,346,355,362,372,385,387,399,408,413,421,429,440,600,603,617,623,632,638,644,655,668,672,678,692,695,709,718,721,733,745,750,762,767,774,783,795,804,808,818,830,838,846,849,860,872,879,888,899,908,913,917,926,938,949,951,961,971,977,990,1001,1009,1018,1021,1030,1043,1053,1058,1066,1073,1084,1093,1100,1109,1118,1128,1136,1141,1153,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,14,17,29,37,47,56,60,70,81,92,99,109,117,121,131,139,153,159,165,171,316,319,326,335,344,354,367,372,381,393,396,412,415,422,435,441,598,608,617,621,633,641,651,652,662,676,680,693,696,708,718,723,730,739,747,762,770,775,786,794,804,809,815,830,834,847,853,860,866,874,886,893,901,915,918,927,936,949,955,959,971,976,992,996,1009,1013,1022,1035,1038,1046,1056,1062,1071,1086,1088,1098,1105,1116,1125,1133,1146,1150,1164,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,24,30,39,51,55,64,74,78,89,101,108,112,119,128,140,153,157,164,171,182,319,332,335,349,359,368,376,386,389,396,411,413,427,432,444,450,608,610,620,627,641,649,653,665,672,680,686,697,706,718,722,733,743,751,760,769,777,784,792,805,812,819,829,838,843,852,860,869,880,889,898,901,909,917,933,935,949,955,962,976,983,989,1001,1002,1019,1023,1029,1036,1049,1060,1065,1078,1084,1088,1096,1110,1118,1129,1133,1142,1148,1160,1168	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,27,40,45,55,67,72,77,86,95,107,118,126,129,138,147,159,170,174,180,321,332,339,351,355,366,375,380,393,402,408,416,421,434,438,596,603,617,624,634,637,648,654,668,671,679,694,698,711,714,728,734,738,747,758,769,779,784,790,800,806,822,828,837,846,848,860,868,874,885,899,902,914,918,930,934,942,959,961,974,982,988,1002,1004,1011,1023,1036,1044,1051,1060,1064,1074,1081,1090,1102,1106,1118,1130,1136,1147,1150,1159,1167,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,14,22,32,34,47,55,62,73,83,89,98,107,112,123,136,143,149,156,164,175,314,325,332,339,347,355,364,369,378,389,397,409,414,421,431,441,597,603,610,619,631,637,643,652,667,671,685,694,695,707,713,723,733,743,752,762,764,773,784,792,799,812,816,830,831,843,851,864,867,878,885,897,901,913,919,931,936,944,952,960,972,980,987,995,1002,1017,1022,1030,1043,1047,1060,1066,1071,1079,1091,1098,1107,1121,1123,1130,1146,1155,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,24,31,41,42,53,64,75,78,89,100,109,118,126,129,140,152,156,162,177,194,318,333,342,344,356,366,370,380,390,401,409,417,421,436,443,600,607,615,625,633,641,647,660,661,671,684,686,702,705,712,723,734,744,748,760,767,777,784,791,804,809,820,824,834,845,850,863,868,878,885,894,903,909,922,928,942,947,957,961,969,979,986,1002,1009,1018,1026,1028,1037,1050,1060,1067,1076,1087,1095,1097,1111,1117,1123,1135,1141,1155,1158,1168,1176	1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,22,30,42,46,53,61,71,84,91,102,107,111,125,135,143,151,160,167,176,181,325,327,342,347,358,368,372,378,394,398,407,416,426,437,444,448,602,610,619,631,643,649,654,668,669,684,688,700,705,715,725,731,739,749,760,770,774,785,789,804,813,820,828,839,845,853,857,869,881,889,897,900,914,923,929,935,950,954,965,968,980,987,997,1008,1011,1027,1030,1041,1050,1054,1069,1071,1084,1095,1101,1106,1117,1128,1132,1143,1150,1159,1165,1175	1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,23,31,41,43,59,67,72,84,87,102,108,113,124,135,139,147,160,170,173,185,324,333,339,346,355,365,374,382,394,401,406,419,428,435,440,447,602,615,618,628,639,644,657,662,677,680,692,700,710,716,728,732,740,747,758,770,776,786,795,801,810,821,829,835,847,849,862,868,875,885,893,901,915,920,929,938,945,957,962,975,982,991,1001,1007,1011,1023,1034,1042,1052,1061,1063,1073,1081,1091,1104,1111,1119,1123,1137,1143,1155,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,17,28,41,47,59,64,70,79,91,101,110,113,124,128,143,145,155,164,176,314,325,333,337,349,360,365,370,385,392,397,404,412,423,434,440,598,609,614,618,627,641,652,654,662,671,686,687,698,708,716,728,731,745,750,763,768,776,784,791,797,806,815,825,838,848,855,862,865,879,885,893,903,913,917,931,940,950,956,959,972,978,990,1000,1009,1014,1027,1033,1043,1048,1058,1063,1071,1080,1090,1099,1112,1116,1123,1133,1142,1154,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,32,42,47,54,61,70,78,86,94,103,113,124,135,144,152,159,164,171,313,326,329,336,349,355,364,377,385,389,398,411,420,425,431,444,450,602,617,623,627,642,647,653,661,677,683,692,696,705,712,727,734,737,753,755,763,779,787,791,798,814,822,830,832,841,854,859,869,876,888,895,900,910,924,933,936,944,958,965,971,981,986,994,1005,1013,1024,1035,1036,1050,1059,1068,1071,1082,1092,1102,1111,1113,1126,1135,1146,1152,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,29,36,45,56,62,74,84,92,96,105,119,125,132,142,150,154,165,176,318,321,332,336,348,354,364,376,378,391,398,408,417,422,430,442,598,605,611,619,631,636,647,656,661,672,684,693,703,711,717,724,734,745,753,762,769,775,786,791,803,810,816,827,836,843,850,861,871,874,883,891,906,915,922,933,937,944,955,961,973,978,988,995,1008,1018,1021,1034,1037,1050,1059,1065,1074,1081,1089,1099,1110,1116,1129,1137,1142,1153,1158,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,30,34,50,59,60,75,81,88,100,109,115,125,130,139,151,157,168,174,314,325,328,335,344,355,368,371,381,391,397,405,414,428,434,440,597,605,615,619,626,643,645,659,661,670,683,693,701,707,714,727,737,742,747,762,769,774,783,794,802,808,817,826,837,844,855,862,870,877,889,896,904,908,919,930,938,947,951,964,974,978,985,999,1002,1016,1022,1035,1040,1050,1061,1066,1078,1079,1088,1099,1109,1116,1129,1138,1139,1149,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,27,35,48,57,63,72,85,88,97,105,116,119,134,143,146,153,170,177,314,325,335,342,346,357,363,371,385,387,397,407,412,425,432,439,454,602,613,620,629,637,648,655,664,674,685,691,698,706,712,725,733,744,748,759,769,779,781,791,799,813,817,824,837,842,851,865,868,882,885,895,903,912,919,928,939,945,959,967,968,981,991,997,1009,1018,1022,1033,1037,1053,1060,1067,1075,1087,1092,1097,1112,1120,1122,1136,1142,1153,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,27,40,47,58,64,68,84,89,96,109,112,119,128,137,151,159,168,176,313,322,327,339,345,360,361,374,383,393,399,411,412,425,432,443,470,601,612,626,631,637,648,660,661,671,681,688,696,708,715,725,734,741,749,757,769,772,781,793,801,806,819,827,839,843,853,860,865,879,887,892,903,911,920,926,935,944,956,965,974,983,988,999,1004,1012,1025,1031,1036,1052,1056,1070,1072,1082,1090,1100,1112,1113,1124,1136,1141,1152,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,27,40,44,58,64,73,84,93,100,104,118,119,133,144,148,161,167,174,316,325,328,336,350,352,363,377,384,388,401,410,413,421,434,440,600,603,610,622,630,642,651,654,667,677,678,688,697,704,712,727,733,742,753,759,771,773,782,792,802,810,819,823,833,847,849,857,867,874,883,897,902,913,924,929,934,947,957,962,973,985,987,996,1005,1016,1020,1034,1042,1049,1054,1066,1073,1079,1091,1100,1106,1121,1127,1138,1146,1153,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,21,29,39,51,55,68,74,84,91,102,110,115,122,128,143,146,159,164,171,313,322,327,339,346,357,364,373,382,389,400,405,417,426,434,439,596,606,615,622,632,636,648,659,662,672,683,686,695,709,719,722,736,738,747,755,766,774,785,789,803,814,820,831,832,844,853,860,872,878,883,895,903,911,918,933,936,946,958,966,970,983,985,1001,1002,1017,1021,1030,1040,1046,1058,1064,1072,1083,1091,1099,1107,1120,1124,1137,1142,1149,1162,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,34,36,48,54,60,73,77,91,100,106,113,121,129,139,152,160,165,176,193,325,332,335,346,360,368,375,384,393,398,406,419,423,436,443,599,605,613,621,630,636,643,655,661,676,682,690,698,704,712,721,734,743,753,760,769,776,788,789,802,810,822,826,837,846,856,859,873,877,889,892,901,910,918,929,933,947,952,966,971,981,987,995,1003,1012,1026,1030,1044,1046,1061,1065,1077,1081,1091,1103,1106,1113,1123,1132,1142,1151,1161,1172	0,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,17,29,38,46,52,66,76,77,92,102,104,119,122,131,143,147,160,167,172,317,321,333,337,349,359,363,370,379,389,397,407,413,421,430,445,453,606,613,623,632,636,650,659,660,677,681,694,697,708,712,728,733,742,751,759,771,777,786,797,799,809,814,824,834,846,855,859,873,877,885,898,899,912,924,931,938,942,959,966,968,980,991,1000,1006,1012,1022,1036,1038,1046,1053,1068,1075,1082,1096,1103,1111,1117,1122,1136,1142,1155,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,28,36,44,56,64,69,81,89,97,107,117,124,136,138,145,155,167,173,317,318,333,339,351,356,367,375,382,389,397,404,416,423,430,446,461,606,609,624,632,640,650,659,666,669,678,687,695,704,712,728,737,742,750,756,771,774,781,790,804,807,815,828,832,845,851,862,867,880,886,896,905,916,924,930,940,948,955,964,976,983,992,995,1009,1013,1025,1032,1036,1045,1057,1067,1075,1081,1090,1099,1112,1115,1122,1134,1141,1150,1157,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,17,29,35,43,51,62,68,83,89,101,107,114,123,136,141,152,155,162,176,313,319,334,336,351,360,362,377,380,389,399,405,414,428,429,439,599,607,611,624,627,636,647,653,666,674,682,694,698,705,714,723,737,742,750,760,771,776,785,789,805,808,814,826,837,847,854,865,872,874,891,894,905,915,919,930,935,950,952,967,973,982,990,994,1003,1016,1025,1030,1043,1053,1057,1065,1078,1087,1093,1101,1111,1121,1128,1138,1147,1150,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,26,37,50,57,65,75,83,93,94,109,111,126,132,143,147,154,168,178,314,325,333,342,347,356,364,372,378,387,400,404,420,428,434,438,600,602,610,622,633,638,650,656,667,670,678,694,701,703,715,723,729,739,754,760,769,772,787,794,803,808,817,825,835,846,849,861,873,876,885,891,907,914,920,930,938,945,954,965,971,976,987,999,1010,1015,1026,1035,1042,1053,1060,1064,1070,1087,1089,1102,1111,1120,1125,1134,1140,1150,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,31,42,46,59,60,69,81,89,95,105,112,124,128,139,150,157,167,172,314,325,330,340,347,360,368,377,383,388,401,408,415,427,430,444,600,604,614,618,631,639,647,653,664,676,684,694,699,710,717,724,734,742,751,755,769,773,781,792,801,809,816,828,835,840,849,859,868,875,883,894,906,915,921,926,937,945,957,965,972,983,990,1000,1008,1014,1026,1030,1038,1051,1058,1065,1078,1080,1094,1100,1109,1113,1125,1131,1141,1154,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
1,13,25,31,34,49,58,65,71,83,87,97,105,119,120,132,140,146,157,169,173,316,326,329,338,347,358,364,374,384,388,397,410,413,426,429,441,600,606,616,626,628,637,646,660,664,673,678,694,698,706,717,723,730,742,748,756,770,779,780,793,804,812,821,828,834,843,849,861,868,882,891,895,905,915,919,925,937,946,951,967,968,979,986,1001,1005,1018,1024,1035,1039,1050,1060,1065,1077,1079,1092,1101,1111,1114,1129,1135,1139,1152,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,33,40,45,52,68,73,85,88,100,108,119,120,132,136,153,159,166,173,316,325,332,336,350,353,363,376,380,392,398,411,420,421,431,442,598,605,614,622,627,636,648,653,661,671,681,686,697,711,715,726,734,746,752,762,765,779,787,794,801,807,818,831,839,847,849,857,867,879,887,892,902,913,922,928,935,947,958,966,968,980,987,994,1008,1018,1020,1034,1038,1048,1054,1067,1071,1084,1093,1102,1109,1115,1123,1136,1144,1154,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,30,37,45,58,59,76,81,88,100,108,116,124,128,144,147,159,167,172,317,318,331,342,349,355,362,377,385,391,398,407,416,424,433,440,600,602,617,623,634,638,646,655,662,675,682,691,701,709,719,727,729,744,746,758,764,777,788,792,802,813,821,831,837,844,854,863,867,876,890,896,906,909,919,927,937,943,954,965,975,979,990,997,1008,1018,1024,1028,1039,1052,1061,1068,1074,1086,1089,1096,1108,1118,1126,1136,1146,1150,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,32,37,46,56,63,70,84,87,94,105,113,123,136,142,147,162,168,175,313,324,330,336,347,355,366,371,382,394,400,406,415,423,430,445,596,607,613,622,627,642,650,659,663,675,681,686,702,706,718,726,730,744,747,756,768,774,782,790,797,812,820,830,838,843,855,862,867,882,883,898,903,908,917,931,938,943,951,962,976,979,987,999,1007,1012,1021,1033,1037,1052,1060,1062,1072,1081,1094,1096,1108,1120,1128,1134,1147,1151,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,23,31,38,44,58,65,73,83,85,101,110,112,123,135,141,152,159,163,179,315,319,334,343,344,359,365,371,382,391,401,403,414,425,434,446,597,607,611,625,633,636,647,656,663,670,683,689,699,708,718,727,730,744,749,756,767,772,782,796,800,812,818,828,838,843,853,859,867,877,883,894,905,912,918,933,940,943,957,963,968,981,987,993,1005,1011,1027,1035,1044,1053,1056,1065,1078,1080,1090,1099,1106,1116,1125,1134,1145,1148,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,33,37,48,55,63,73,79,92,99,106,116,126,132,144,149,157,165,176,316,326,334,337,352,356,367,377,383,392,396,409,417,427,435,441,597,607,616,620,628,635,651,655,668,674,685,691,700,707,713,728,732,740,752,755,768,780,784,791,801,809,815,826,834,844,854,861,867,881,884,894,906,916,922,933,937,943,957,960,974,982,988,994,1006,1012,1022,1029,1044,1045,1059,1064,1074,1079,1090,1102,1109,1113,1126,1132,1139,1151,1164,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,31,37,45,55,62,74,82,87,93,105,111,124,134,139,152,154,169,173,317,322,330,340,351,353,366,370,385,392,398,410,417,426,432,444,596,604,614,623,634,642,651,655,663,676,683,686,698,707,717,721,731,738,753,756,765,773,786,796,798,808,814,831,835,841,854,859,868,880,884,895,900,911,925,932,938,948,956,962,975,981,986,994,1003,1015,1023,1032,1042,1048,1059,1066,1077,1082,1094,1098,1105,1114,1123,1130,1146,1150,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,25,31,38,45,52,63,74,80,93,97,108,119,121,133,137,148,157,168,178,315,323,327,337,346,357,361,376,385,392,396,406,416,424,429,444,598,606,611,621,632,636,645,654,667,675,680,692,703,705,715,728,736,746,747,760,766,776,788,792,798,811,818,830,839,840,855,865,873,877,891,895,905,910,924,932,940,944,951,960,971,977,993,995,1005,1012,1023,1035,1043,1049,1054,1063,1072,1080,1093,1102,1109,1121,1123,1137,1144,1148,1158,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,24,31,37,45,54,61,73,81,90,100,108,118,122,128,142,145,159,168,175,315,318,331,337,349,358,361,376,381,390,402,404,415,425,437,443,461,606,617,623,628,641,646,655,668,676,681,694,695,707,713,723,735,742,750,761,771,772,781,789,799,806,822,829,836,847,849,859,867,874,884,893,906,912,918,927,939,948,955,966,972,984,986,994,1007,1018,1024,1028,1036,1046,1054,1068,1077,1084,1091,1103,1107,1115,1123,1137,1144,1152,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,28,41,44,54,64,74,82,86,96,107,112,127,132,136,149,158,162,177,313,326,330,339,346,360,363,376,386,387,403,406,419,421,431,440,600,602,610,621,628,639,649,652,669,671,681,690,701,708,714,724,729,745,751,759,770,774,787,793,798,811,821,829,838,847,851,862,868,874,884,892,899,913,920,933,940,945,956,961,971,979,987,1002,1008,1015,1027,1029,1039,1048,1056,1070,1075,1081,1092,1103,1107,1115,1128,1134,1147,1152,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,27,36,49,58,67,76,77,89,94,105,112,127,129,139,145,153,167,175,317,320,334,337,350,359,361,372,384,394,399,410,419,424,430,439,600,608,613,620,627,641,646,654,663,675,681,686,698,703,717,724,732,740,747,758,766,773,787,794,804,807,815,829,836,846,850,857,866,875,887,893,902,910,923,931,939,942,957,963,976,981,985,999,1006,1014,1021,1031,1039,1046,1055,1063,1077,1086,1089,1101,1104,1119,1124,1137,1144,1155,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,29,37,43,54,67,70,81,88,99,110,113,124,135,144,146,156,164,171,316,319,329,337,350,355,368,377,380,390,398,405,416,426,435,442,599,602,616,621,631,640,651,660,667,669,680,687,702,711,718,720,734,737,752,758,764,775,784,796,802,810,817,828,836,842,854,860,873,878,888,895,904,912,919,930,939,945,954,965,968,978,992,996,1005,1011,1023,1031,1039,1046,1055,1069,1073,1080,1095,1100,1109,1115,1127,1136,1147,1154,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,22,27,37,46,51,65,76,77,85,97,110,111,126,133,140,148,157,163,177,182,325,329,336,349,357,363,373,383,394,397,411,417,421,431,439,600,608,615,625,633,641,651,652,664,669,684,694,701,705,712,724,735,744,753,758,770,772,787,791,802,809,820,822,833,844,854,862,871,875,889,898,900,916,923,932,937,949,951,965,974,978,988,1000,1005,1015,1027,1031,1041,1046,1061,1062,1071,1081,1089,1097,1108,1121,1122,1133,1142,1155,1162,1164	1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,12,22,31,34,45,57,66,68,79,92,95,110,116,127,132,144,149,155,165,172,191,318,331,339,350,357,362,370,383,386,395,406,413,427,431,440,600,607,611,625,631,640,646,653,668,674,685,692,700,705,720,725,736,738,752,759,771,774,783,793,803,809,816,829,838,845,849,862,872,875,884,894,900,914,917,928,936,944,958,963,970,980,986,1000,1007,1017,1024,1035,1042,1050,1055,1063,1070,1086,1095,1099,1111,1114,1126,1136,1139,1153,1158,1170,1177	0,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,21,30,40,47,55,67,73,78,85,97,106,118,120,133,141,148,161,168,171,181,326,327,339,348,353,362,370,379,390,401,411,417,425,435,442,447,607,611,621,629,639,644,659,667,671,685,686,701,711,716,721,737,744,747,756,771,774,787,791,803,808,819,830,834,846,850,863,872,875,886,895,900,915,918,926,935,947,958,967,971,977,990,1002,1005,1014,1026,1030,1041,1049,1059,1062,1076,1082,1093,1097,1108,1117,1126,1138,1144,1153,1164,1166,1173	0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,11,24,30,38,46,56,64,73,79,91,101,102,111,126,131,139,150,156,168,176,181,322,334,338,350,359,369,371,386,388,398,406,415,426,430,441,447,606,613,621,631,635,650,655,663,671,678,687,700,708,716,724,733,742,746,759,770,776,785,792,803,807,818,827,833,846,849,863,869,882,890,898,903,911,918,929,934,950,951,966,970,984,985,994,1010,1015,1027,1030,1039,1051,1057,1066,1076,1087,1089,1097,1106,1115,1128,1133,1147,1154,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,23,28,41,46,53,60,72,81,91,95,106,116,121,136,144,150,155,163,173,184,324,330,338,350,356,365,375,383,386,395,409,418,426,433,439,597,602,611,624,633,642,650,655,669,671,684,691,701,706,715,722,732,739,751,759,767,773,788,792,802,811,821,824,838,847,852,862,872,880,883,899,903,912,918,930,934,944,957,966,973,979,991,999,1005,1019,1026,1029,1043,1046,1054,1066,1075,1086,1092,1096,1107,1121,1129,1138,1142,1152,1163,1171,1178	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,10,24,32,39,49,53,65,69,76,85,99,109,118,123,134,140,146,158,169,173,182,323,327,336,349,358,366,374,380,390,398,411,420,425,431,442,599,609,616,620,632,635,647,652,660,670,678,688,697,708,712,728,735,740,750,758,770,780,788,790,799,811,822,824,836,845,855,862,870,882,887,899,902,911,919,932,939,946,959,960,973,985,988,996,1009,1017,1021,1035,1041,1046,1054,1065,1074,1085,1095,1097,1109,1115,1126,1131,1146,1154,1162,1168,1174	0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,10,21,32,35,43,57,60,70,82,85,100,107,118,120,133,140,152,157,168,174,184,325,334,342,348,354,364,374,384,395,400,405,417,424,432,443,467,607,612,622,630,642,648,658,661,669,679,688,697,707,720,725,733,741,751,760,768,778,784,791,803,809,821,824,838,844,848,859,868,881,887,894,905,908,921,929,939,942,954,967,972,976,991,993,1003,1013,1019,1032,1040,1047,1054,1062,1071,1086,1090,1103,1106,1120,1124,1133,1142,1155,1162,1169,1174	1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,17,34,36,46,58,60,73,80,87,94,103,114,122,133,138,145,158,167,176,186,319,332,336,351,355,362,369,386,394,401,407,418,423,431,443,449,602,613,622,632,642,643,653,666,675,685,691,700,708,716,720,735,742,751,759,768,775,784,791,800,809,818,829,836,842,851,857,867,876,886,894,907,914,921,929,941,945,953,959,972,985,991,1000,1004,1013,1025,1033,1040,1049,1059,1067,1078,1083,1091,1097,1107,1120,1124,1134,1142,1154,1164,1172,1176	0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,25,32,35,50,54,65,76,80,91,98,108,117,126,129,143,146,160,167,173,313,324,334,338,344,354,365,374,384,391,402,406,419,421,437,443,600,606,609,622,627,635,651,656,668,675,683,689,702,709,719,721,731,739,748,756,765,778,786,794,804,809,820,826,834,846,849,860,867,875,885,893,903,909,920,928,942,948,958,965,968,981,988,995,1005,1016,1022,1028,1040,1051,1056,1062,1076,1080,1094,1097,1111,1113,1126,1130,1141,1154,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,20,27,42,45,56,62,70,77,92,97,102,116,127,130,140,151,155,168,178,191,319,328,338,349,360,364,370,385,393,395,409,420,428,432,445,470,601,615,618,631,636,651,655,668,670,682,694,698,711,718,725,736,743,748,759,769,772,781,790,801,807,821,829,839,845,856,857,867,882,891,898,902,908,921,929,934,942,957,967,972,982,988,997,1004,1018,1027,1034,1039,1048,1059,1067,1074,1087,1092,1096,1112,1119,1129,1137,1141,1149,1156,1170	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
8,16,24,30,39,46,57,64,68,82,90,102,106,117,123,133,137,150,154,170,172,192,319,329,336,345,353,364,374,384,393,402,410,420,425,437,443,596,606,613,618,627,637,644,652,664,671,683,687,700,709,712,722,736,744,751,757,768,777,788,791,799,808,815,827,836,847,849,857,871,878,888,899,901,914,924,932,939,946,951,966,976,980,986,995,1009,1018,1027,1032,1040,1047,1056,1067,1077,1079,1087,1098,1111,1118,1125,1134,1142,1149,1157,1171,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,23,31,36,44,51,65,70,76,88,97,109,117,122,130,139,146,159,169,174,187,318,331,337,351,354,369,374,385,387,399,403,419,426,430,443,597,602,610,624,629,640,643,652,667,671,680,692,697,711,716,726,730,744,753,762,767,777,788,793,798,808,818,824,838,842,851,864,872,877,886,894,901,914,921,932,935,946,954,963,970,984,989,1000,1005,1017,1020,1033,1038,1051,1060,1063,1071,1084,1088,1098,1105,1118,1128,1135,1145,1155,1156,1164,1175	1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,17,29,40,47,55,67,72,85,91,97,106,117,123,134,142,152,160,163,177,190,326,327,340,348,360,362,372,383,392,403,408,416,425,434,443,470,605,611,622,630,636,646,652,668,671,681,687,695,707,712,721,737,739,749,756,764,772,784,792,798,813,817,831,837,847,856,860,869,877,883,895,900,916,919,933,938,947,956,964,972,978,985,1001,1002,1014,1024,1029,1044,1049,1054,1067,1072,1085,1090,1104,1108,1115,1121,1137,1139,1151,1162,1172,1178	0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,20,33,37,47,59,68,73,80,91,95,108,111,125,136,143,149,158,170,172,182,321,334,338,352,358,367,372,383,392,396,406,416,428,432,443,459,608,611,620,629,638,649,659,668,670,683,694,698,705,717,726,734,741,751,759,765,778,784,790,799,811,819,825,836,846,848,862,867,875,886,895,907,913,917,929,936,946,955,967,974,978,990,998,1003,1019,1020,1034,1036,1050,1057,1068,1077,1083,1093,1097,1111,1121,1129,1134,1141,1147,1159,1169,1173	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
7,9,17,26,40,44,52,62,72,85,89,101,108,116,122,135,144,150,154,169,171,179,322,329,342,351,359,366,371,384,388,402,408,420,423,430,443,596,604,611,622,632,636,646,660,662,672,679,690,699,704,719,724,736,738,749,758,766,779,782,796,804,813,820,828,835,843,850,858,870,880,886,895,901,913,919,932,934,948,957,965,975,981,989,997,1006,1012,1024,1028,1041,1051,1055,1064,1070,1082,1089,1102,1113,1115,1129,1138,1145,1151,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,16,21,26,36,47,53,67,73,83,85,96,106,114,128,129,145,147,160,169,173,317,320,334,337,344,358,366,374,384,387,400,410,413,427,430,439,600,603,614,619,631,643,651,656,660,670,680,687,701,708,712,724,729,740,750,759,767,774,781,793,798,812,821,823,839,841,852,862,874,877,890,896,905,909,924,932,937,949,959,961,974,978,991,996,1008,1018,1026,1029,1039,1050,1053,1067,1075,1080,1090,1098,1107,1121,1128,1133,1139,1149,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,27,35,46,55,61,74,84,89,98,105,113,123,129,138,148,161,168,176,318,324,333,338,349,353,364,369,382,387,398,405,419,428,437,445,596,601,612,618,630,637,650,654,662,672,683,692,698,710,720,722,735,740,748,756,770,775,784,791,797,812,816,829,838,846,851,862,873,881,888,899,902,915,924,930,934,947,951,963,975,984,989,999,1010,1017,1020,1034,1036,1049,1054,1064,1075,1081,1093,1099,1111,1113,1125,1133,1145,1151,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,30,34,46,56,68,74,84,88,97,106,118,125,135,144,149,155,162,172,314,320,333,342,351,357,367,376,382,395,397,407,414,424,435,445,600,603,613,621,632,635,646,654,660,677,681,688,695,711,719,720,734,739,752,754,771,775,785,792,800,809,819,824,832,848,855,863,866,882,886,892,902,914,924,931,939,945,956,964,969,982,990,994,1004,1013,1020,1030,1042,1051,1057,1069,1075,1080,1088,1101,1113,1117,1130,1131,1144,1150,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,30,34,45,57,67,74,78,87,94,103,118,125,129,138,146,161,167,172,317,323,330,337,349,354,366,375,384,394,398,407,419,422,429,444,462,601,617,619,633,640,645,658,665,669,681,688,697,707,719,721,734,740,746,761,767,778,786,791,805,812,821,829,836,845,854,864,866,879,889,897,905,912,921,933,935,948,952,965,971,977,985,998,1010,1013,1025,1030,1042,1053,1059,1070,1075,1080,1090,1101,1111,1115,1125,1132,1140,1153,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,26,35,44,53,67,72,81,93,96,109,113,127,133,141,145,159,166,178,314,324,335,336,351,354,365,375,379,388,398,406,414,425,434,438,598,602,617,624,632,636,649,653,668,672,679,689,701,710,716,726,730,745,752,760,768,779,780,792,798,810,817,829,837,846,855,862,871,875,889,897,904,913,924,930,934,950,957,959,968,979,987,999,1007,1012,1022,1032,1044,1049,1057,1067,1078,1079,1094,1103,1107,1120,1126,1134,1143,1147,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,29,35,43,56,60,73,77,89,94,102,119,122,129,136,148,155,164,177,316,320,328,338,351,359,363,371,381,390,396,405,412,428,435,441,461,602,611,622,628,641,645,658,666,673,679,686,701,710,717,725,737,739,751,757,769,776,784,791,798,808,822,824,833,841,851,864,872,879,887,897,907,910,919,928,936,949,954,964,974,978,988,996,1003,1013,1022,1030,1041,1052,1060,1069,1074,1080,1093,1102,1109,1121,1124,1138,1144,1147,1164,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,33,36,48,51,61,74,78,91,99,108,112,127,135,143,150,159,168,172,317,323,331,340,346,355,363,374,384,392,403,407,416,422,432,438,598,602,612,625,627,638,650,658,661,674,684,689,697,710,715,725,731,743,746,758,771,775,781,793,798,810,818,823,838,840,854,864,872,876,890,899,900,912,916,926,938,947,954,962,970,981,986,994,1002,1016,1019,1029,1036,1051,1057,1062,1074,1086,1088,1099,1109,1117,1124,1137,1139,1147,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,26,39,48,55,65,70,79,92,96,106,114,122,134,142,145,154,163,177,316,326,334,342,350,353,368,378,384,390,396,410,413,422,436,440,599,602,613,622,633,640,651,656,668,677,680,689,703,710,712,726,734,744,747,761,768,775,784,789,801,810,822,825,832,844,856,860,872,878,889,897,908,911,919,927,940,944,952,967,973,983,986,999,1003,1014,1024,1028,1039,1049,1057,1069,1078,1085,1089,1101,1111,1121,1126,1137,1145,1149,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,20,27,41,45,54,67,76,85,88,101,109,119,125,134,142,147,153,169,173,185,323,333,341,345,359,361,376,383,395,399,408,413,428,429,445,597,607,610,619,628,639,644,655,669,674,683,692,699,710,715,727,733,743,754,758,764,773,784,796,799,807,814,825,838,841,850,857,867,874,884,899,902,911,923,931,939,947,952,963,969,976,985,998,1010,1018,1024,1028,1044,1052,1055,1062,1070,1083,1091,1096,1110,1117,1130,1132,1147,1152,1161,1167,1174	1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,19,30,34,42,58,66,70,83,91,100,102,111,127,131,142,150,158,162,177,316,326,331,337,349,355,367,369,379,393,402,410,418,425,429,440,598,606,612,623,633,640,651,653,660,675,680,688,697,707,714,726,730,743,749,757,768,778,784,794,804,810,819,831,832,843,851,863,871,877,890,891,901,912,918,928,937,942,951,960,970,977,992,998,1007,1013,1025,1032,1044,1053,1060,1068,1073,1083,1089,1099,1107,1113,1122,1138,1146,1149,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,29,39,43,56,65,68,81,88,98,107,112,123,135,143,149,158,168,172,317,323,333,336,347,357,367,375,383,394,398,409,420,426,429,442,465,602,611,624,634,638,649,652,667,674,679,692,698,705,717,725,733,738,750,759,766,772,782,789,798,812,816,823,832,843,852,861,871,877,885,895,904,911,921,928,938,944,957,963,972,985,987,996,1004,1016,1023,1033,1044,1046,1055,1067,1072,1087,1093,1099,1111,1120,1127,1136,1140,1148,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,18,26,36,48,56,64,68,80,91,102,110,118,121,136,138,152,158,167,173,315,325,329,338,347,355,366,376,386,393,398,409,415,429,435,442,596,604,615,624,630,639,647,652,668,674,684,689,697,710,718,724,731,745,747,762,769,775,780,792,801,810,815,823,838,842,854,864,867,879,889,895,904,908,924,926,935,948,958,960,974,979,986,997,1009,1015,1022,1034,1044,1051,1057,1069,1072,1087,1090,1101,1112,1119,1125,1132,1141,1147,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,29,37,49,56,66,74,80,93,95,109,111,126,129,144,152,157,166,171,315,323,327,339,346,359,367,369,379,392,399,409,419,423,436,446,600,601,612,619,632,636,644,658,668,677,680,686,700,703,719,722,737,742,747,759,763,778,786,788,804,811,818,830,832,841,850,864,869,879,886,899,906,914,925,929,938,945,953,962,976,979,992,997,1009,1011,1023,1032,1043,1045,1060,1063,1072,1084,1090,1104,1106,1114,1124,1130,1139,1149,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,28,39,45,55,62,75,81,85,99,105,117,126,134,138,152,160,163,177,180,324,326,341,349,360,364,373,385,394,402,405,413,428,433,444,596,602,616,621,628,638,649,657,664,677,681,689,701,709,716,727,729,739,746,762,765,779,788,789,799,806,819,826,832,842,854,857,867,874,886,892,907,915,922,925,936,944,958,966,971,980,988,998,1002,1017,1024,1034,1044,1049,1061,1069,1072,1083,1090,1101,1109,1114,1124,1131,1144,1148,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,9,21,28,38,43,51,66,73,79,88,101,108,119,122,131,141,151,153,164,175,316,323,329,340,349,355,369,373,379,388,395,410,414,423,435,445,597,601,616,618,630,641,646,655,661,674,680,692,697,709,714,723,737,742,749,760,771,775,786,794,799,806,820,828,831,845,854,862,867,878,889,895,906,908,923,931,940,943,953,963,969,981,992,999,1008,1017,1024,1034,1043,1052,1061,1069,1071,1083,1093,1099,1107,1119,1128,1134,1143,1155,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,25,33,42,49,54,61,75,78,93,101,104,115,123,136,137,152,161,168,171,314,320,334,339,344,353,364,374,380,390,398,407,416,422,435,446,596,606,609,620,631,642,650,660,664,675,677,694,699,703,713,721,730,745,754,759,768,778,782,795,797,810,815,828,837,844,852,864,866,875,889,894,906,912,918,929,940,944,958,964,972,980,986,994,1008,1013,1026,1029,1036,1046,1054,1063,1075,1081,1091,1100,1111,1115,1129,1137,1139,1147,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,31,38,49,58,68,70,83,91,99,106,114,122,133,136,147,160,168,178,315,325,333,337,349,353,363,375,382,394,400,404,414,423,430,442,598,608,614,622,627,636,647,660,666,670,678,686,697,707,719,727,734,744,752,762,767,773,782,790,802,809,822,826,832,845,850,863,872,875,889,898,907,908,925,931,939,947,954,962,969,982,985,997,1003,1012,1019,1034,1044,1046,1059,1069,1078,1085,1088,1099,1105,1113,1124,1130,1146,1147,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,18,31,37,43,51,65,73,77,85,95,110,112,127,130,139,149,157,168,172,315,326,332,340,346,355,368,371,386,394,403,405,414,425,430,441,456,609,611,618,628,643,645,654,661,669,679,692,701,704,712,725,736,742,753,760,765,771,787,789,797,810,822,827,839,846,849,862,867,877,883,895,901,911,921,927,938,942,957,966,972,984,989,995,1008,1012,1023,1035,1042,1047,1060,1069,1076,1079,1095,1098,1110,1116,1129,1134,1144,1147,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,28,38,43,58,62,75,77,86,101,104,118,125,133,138,148,161,164,175,314,325,333,338,347,358,364,371,382,393,398,409,417,424,436,438,452,603,616,622,630,643,651,652,661,674,680,692,696,705,719,720,730,743,752,755,766,779,781,793,800,807,820,831,836,842,848,858,866,882,888,894,902,911,918,927,941,947,951,964,969,978,991,996,1007,1011,1026,1030,1041,1045,1058,1069,1071,1086,1093,1098,1113,1116,1123,1131,1143,1149,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,32,38,45,59,66,69,85,93,95,110,111,120,136,140,150,161,163,178,313,320,327,341,350,359,369,373,378,390,397,408,416,423,432,443,596,603,612,623,630,642,648,655,667,671,678,691,698,709,713,724,735,744,750,762,765,776,786,794,799,807,821,828,837,848,851,864,867,874,886,895,908,916,921,933,934,945,952,961,972,985,987,1000,1005,1015,1019,1031,1041,1053,1058,1069,1073,1082,1096,1102,1110,1116,1125,1131,1142,1149,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,30,35,50,55,62,71,78,90,98,105,118,126,131,140,148,156,162,178,317,324,334,341,344,354,366,371,382,391,396,406,417,429,432,443,597,604,613,625,627,635,648,653,664,677,679,693,695,705,717,727,730,739,751,762,765,772,787,796,805,808,815,827,833,844,850,860,871,878,890,894,907,916,919,927,940,945,957,964,969,983,987,1002,1009,1014,1024,1033,1038,1053,1059,1063,1078,1087,1088,1096,1110,1119,1124,1138,1141,1151,1164,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,31,38,49,53,67,73,83,89,98,102,117,127,132,140,150,156,170,172,314,326,333,339,351,355,368,374,379,389,397,410,417,424,433,440,462,608,613,622,631,640,646,654,663,675,685,693,697,709,717,725,729,738,747,760,769,777,785,793,799,809,820,823,831,845,853,860,866,875,887,892,904,915,918,931,934,945,954,960,975,983,986,995,1008,1018,1020,1028,1044,1047,1056,1063,1071,1085,1087,1098,1112,1116,1128,1134,1143,1150,1157,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,26,36,42,57,68,76,84,88,101,108,115,122,133,141,147,159,163,174,313,326,332,343,348,359,364,371,384,387,401,408,418,421,432,439,596,608,612,625,631,639,644,653,666,672,680,693,696,705,714,728,731,740,748,760,766,777,787,790,799,806,820,829,837,841,854,859,870,881,886,894,904,916,923,929,937,947,952,966,973,981,990,998,1007,1015,1022,1032,1037,1047,1061,1069,1075,1084,1092,1104,1107,1117,1122,1132,1143,1148,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,33,34,48,55,62,74,84,91,96,109,116,121,128,142,145,159,168,174,317,320,333,338,351,358,366,372,378,390,402,406,413,425,433,442,459,603,609,618,630,639,644,655,666,675,682,693,697,711,713,727,732,740,751,762,764,778,788,795,802,809,820,824,832,848,850,863,873,875,885,892,902,913,924,926,941,947,953,960,973,977,993,1000,1002,1018,1021,1030,1043,1047,1057,1062,1072,1081,1090,1099,1104,1120,1123,1136,1140,1147,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,17,32,39,49,59,64,68,78,92,101,103,112,119,134,145,149,158,162,175,315,326,329,339,347,360,361,375,384,392,401,411,415,428,433,443,596,605,613,624,627,639,644,652,660,669,686,693,696,707,715,723,733,744,746,762,768,775,783,796,804,812,818,826,833,840,850,863,870,880,891,892,905,912,919,931,935,946,952,965,975,981,986,996,1009,1012,1019,1035,1040,1049,1054,1063,1078,1081,1095,1103,1105,1118,1129,1131,1142,1150,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,17,26,39,46,56,62,75,81,93,101,103,119,124,135,143,153,159,165,176,316,323,331,336,349,355,368,378,380,388,402,411,413,428,431,445,599,602,617,624,628,638,648,660,665,675,678,686,699,707,719,724,731,745,754,757,766,777,782,794,802,813,814,825,837,845,856,858,869,877,885,896,903,915,920,927,941,943,957,966,973,977,986,997,1005,1015,1023,1035,1040,1053,1054,1064,1070,1082,1090,1098,1111,1120,1125,1133,1146,1154,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,25,28,38,43,52,65,75,78,86,99,109,111,123,133,139,149,158,168,176,186,321,332,341,349,359,361,369,386,392,401,403,416,424,434,439,465,604,610,620,627,639,645,657,668,670,684,691,699,707,716,724,730,737,750,755,763,773,786,792,798,808,816,828,832,845,849,864,873,880,886,899,904,916,921,932,940,946,954,961,971,982,993,998,1009,1010,1024,1031,1039,1048,1057,1070,1075,1083,1087,1099,1106,1118,1127,1133,1145,1153,1159,1165,1173	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,16,17,27,37,44,54,64,69,77,89,95,106,113,121,135,138,150,154,165,174,318,325,328,339,344,355,368,372,379,391,398,404,417,421,430,444,599,605,610,623,632,642,643,652,669,670,679,693,698,704,715,721,732,744,751,756,771,776,786,790,803,811,819,829,834,840,849,863,866,874,884,892,906,910,920,930,938,950,957,966,971,982,993,998,1008,1016,1021,1028,1043,1045,1061,1062,1071,1085,1091,1098,1109,1114,1125,1133,1142,1152,1162,1167,1174	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,15,22,28,37,49,59,67,72,83,89,94,108,114,124,132,139,150,156,162,177,179,324,333,340,346,358,368,372,379,393,400,403,419,422,434,443,597,606,610,619,629,635,648,659,664,673,684,687,700,709,719,726,730,738,753,759,764,772,782,792,803,809,820,831,832,846,855,863,872,876,888,895,904,914,925,931,934,942,951,961,968,976,986,1002,1003,1016,1023,1034,1037,1051,1055,1070,1073,1079,1089,1097,1109,1118,1130,1138,1143,1150,1156,1169,1177	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,24,26,38,44,53,62,70,82,87,99,109,117,120,133,138,153,157,164,172,189,324,329,341,350,360,366,377,380,389,395,404,414,423,435,439,596,602,616,621,629,639,648,654,666,672,683,693,699,709,716,728,729,739,752,762,767,774,784,789,800,809,821,828,838,847,855,862,867,879,882,897,904,912,919,926,935,947,953,961,976,984,992,994,1004,1013,1020,1035,1041,1046,1056,1062,1070,1082,1094,1097,1107,1115,1122,1130,1146,1148,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,16,21,27,38,43,52,62,72,81,86,101,110,111,123,136,142,145,157,167,178,186,322,328,339,352,360,363,374,383,389,398,410,417,427,430,441,462,606,617,618,629,638,644,659,665,673,685,691,695,710,713,727,731,739,746,755,771,776,784,796,804,814,817,831,835,841,856,865,871,874,884,898,901,915,919,931,936,943,953,960,970,979,990,995,1008,1014,1027,1031,1036,1048,1061,1062,1078,1079,1093,1102,1113,1117,1128,1132,1146,1151,1156,1171,1173	1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,17,27,35,47,59,66,74,80,92,95,109,115,122,131,144,149,155,170,177,181,326,327,339,350,354,363,372,380,387,400,412,418,421,433,437,600,602,616,619,634,637,644,652,665,672,685,687,699,711,718,725,731,745,752,762,763,779,783,791,804,812,821,828,839,848,852,859,869,876,887,896,899,914,919,930,941,947,954,960,973,977,989,1001,1006,1012,1024,1034,1038,1046,1058,1065,1071,1082,1094,1098,1108,1121,1129,1135,1147,1148,1162,1168,1173	1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0
0,12,19,33,41,46,57,61,73,77,85,97,103,114,121,135,143,147,153,165,171,183,324,334,337,346,360,365,369,378,392,402,412,413,422,433,443,599,602,614,622,628,636,646,657,666,672,683,693,700,709,718,728,729,745,746,760,766,775,780,790,801,812,820,828,839,841,854,859,867,875,889,892,903,912,922,926,936,949,953,959,971,977,993,1001,1009,1018,1020,1033,1041,1047,1057,1063,1070,1080,1090,1104,1108,1117,1129,1130,1147,1150,1160,1169,1175	1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,23,25,39,46,54,67,72,80,85,101,104,117,124,130,137,153,158,167,176,191,323,333,340,347,354,362,370,380,387,400,408,418,428,433,443,597,601,615,620,634,640,649,658,668,673,682,692,696,703,713,727,732,740,746,755,770,775,780,790,798,812,821,827,832,847,855,865,869,877,883,892,907,915,925,927,934,948,954,960,969,984,986,994,1008,1010,1024,1030,1044,1048,1055,1062,1074,1087,1095,1097,1105,1115,1125,1133,1145,1153,1162,1168	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,25,30,39,48,54,66,72,81,93,99,102,113,127,136,142,151,159,166,177,314,321,333,343,345,353,364,370,385,393,400,409,419,424,431,441,470,602,609,620,629,638,645,660,664,671,678,690,698,709,716,728,737,745,748,758,768,775,786,789,805,807,819,827,834,844,852,860,868,880,890,895,900,909,919,929,936,946,959,962,970,980,991,1000,1007,1014,1025,1033,1040,1047,1061,1067,1076,1081,1092,1097,1112,1116,1124,1138,1142,1155,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,31,41,50,54,61,69,85,92,101,108,116,123,134,138,145,154,169,178,197,318,332,337,351,358,365,371,383,393,403,405,413,423,431,437,465,605,612,619,628,635,649,652,666,670,682,690,699,709,718,723,731,744,747,760,769,779,787,794,800,812,818,825,839,846,855,860,867,877,885,897,903,914,919,929,935,949,951,964,969,985,986,1001,1002,1015,1022,1034,1044,1051,1060,1066,1076,1085,1092,1101,1112,1120,1127,1138,1139,1154,1163,1170,1178	1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
4,11,17,28,41,50,52,68,72,83,86,97,107,116,122,128,143,146,158,167,171,198,318,328,340,351,359,361,369,378,387,397,404,419,427,431,443,450,602,610,625,629,641,645,655,663,674,679,690,701,703,713,724,734,745,746,759,764,778,784,791,797,808,816,827,833,848,852,863,873,877,887,895,901,913,921,930,935,944,956,959,971,983,990,999,1010,1016,1024,1027,1039,1051,1059,1063,1076,1079,1089,1100,1105,1114,1124,1131,1144,1153,1164,1171	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,17,33,36,49,58,62,73,81,92,102,105,118,123,136,142,146,158,162,176,191,326,327,336,347,359,361,377,381,386,402,411,419,423,435,443,600,606,617,626,633,640,646,658,664,675,684,690,702,710,718,722,729,740,754,758,766,773,785,793,800,811,816,830,836,841,854,860,873,877,884,891,904,909,918,925,938,946,958,967,973,978,992,998,1003,1013,1025,1029,1038,1050,1054,1063,1071,1081,1089,1101,1104,1121,1127,1133,1144,1152,1158,1166	1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
7,11,22,26,34,47,57,63,72,83,90,97,105,116,127,131,138,153,158,170,175,315,326,332,339,346,357,368,370,381,388,402,407,418,421,432,442,458,608,614,622,628,639,651,654,668,676,686,694,701,703,712,723,734,739,748,759,771,775,785,793,797,809,816,823,837,840,854,861,866,880,883,894,907,911,923,929,941,948,954,967,971,984,989,997,1003,1015,1025,1031,1037,1052,1056,1068,1077,1086,1095,1104,1111,1119,1124,1138,1140,1153,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
5,13,18,32,37,51,54,65,74,77,92,100,105,115,127,134,140,148,161,163,171,316,322,332,340,352,356,363,373,385,389,399,411,416,425,437,445,598,602,616,622,628,636,648,653,662,672,683,693,696,706,715,725,735,738,748,759,768,772,788,793,805,812,818,823,835,840,850,865,866,876,886,899,904,912,924,926,940,946,954,963,974,983,990,999,1006,1018,1023,1029,1039,1049,1062,1066,1078,1083,1089,1097,1111,1115,1128,1132,1140,1148,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,22,30,41,46,57,66,68,81,87,96,103,111,124,129,144,146,155,169,174,197,319,335,341,347,353,369,377,380,388,399,408,419,425,434,442,596,601,615,621,634,636,650,654,663,676,680,688,700,706,717,724,732,742,752,758,765,771,787,792,803,813,820,828,839,843,850,857,868,877,883,891,907,916,920,930,935,942,957,962,971,980,989,1002,1004,1011,1020,1028,1040,1050,1058,1063,1076,1081,1090,1098,1109,1114,1129,1136,1142,1149,1156,1166,1174	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,20,30,42,45,52,61,72,79,88,98,106,111,124,130,137,146,155,165,174,314,325,332,341,349,356,365,373,384,390,400,410,417,422,435,445,600,609,610,623,632,640,647,652,667,674,684,687,696,705,713,722,730,740,746,754,770,777,780,789,800,806,821,824,839,843,851,858,871,876,889,893,902,914,924,930,937,947,954,966,976,980,988,1000,1006,1016,1022,1032,1038,1047,1056,1067,1077,1085,1088,1101,1106,1118,1129,1136,1139,1155,1162,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,30,38,45,54,67,70,82,93,97,104,111,127,136,142,150,155,167,171,317,325,334,341,347,352,364,370,379,391,397,407,416,423,432,444,597,607,614,625,627,638,644,657,664,674,683,694,697,706,715,721,736,744,750,762,767,773,787,796,797,807,817,826,834,841,848,857,868,875,889,896,903,908,923,932,938,950,957,967,970,977,986,1000,1008,1012,1024,1032,1041,1051,1058,1066,1076,1086,1088,1097,1112,1121,1129,1137,1140,1154,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,30,41,46,54,63,76,78,89,99,107,115,120,132,143,151,154,170,174,317,323,329,337,344,355,368,372,381,393,396,408,414,425,434,442,598,601,611,622,628,640,644,652,666,675,680,689,702,703,713,720,733,741,746,757,766,775,783,793,801,813,816,830,838,847,854,863,867,879,887,899,900,908,921,929,939,942,958,960,969,983,991,995,1008,1011,1025,1028,1036,1045,1059,1065,1076,1086,1091,1102,1105,1117,1124,1133,1139,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,33,34,42,51,65,76,84,87,94,106,114,123,133,136,146,157,167,178,313,322,331,339,349,353,368,372,379,387,398,407,420,423,429,440,469,606,616,619,634,635,645,656,666,669,684,691,699,708,715,721,734,740,749,758,770,772,787,791,804,813,821,825,833,842,849,864,871,877,886,892,904,911,918,931,935,947,955,962,970,977,991,1001,1005,1013,1025,1029,1036,1050,1054,1062,1072,1079,1088,1098,1106,1118,1124,1135,1145,1147,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,27,34,45,54,65,74,85,90,94,106,118,121,133,142,147,155,164,177,314,322,333,343,346,360,363,373,382,392,400,411,414,425,433,445,599,601,611,618,632,643,652,658,667,671,681,692,701,707,712,723,737,745,752,754,770,780,783,789,798,813,821,827,831,843,852,861,871,879,884,899,900,914,918,929,937,942,959,966,969,984,988,998,1005,1014,1021,1029,1037,1046,1058,1064,1077,1084,1089,1103,1111,1115,1124,1134,1142,1156,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,28,36,47,58,62,71,78,89,96,104,113,124,133,140,153,154,166,177,315,320,327,337,346,360,363,373,383,394,396,410,419,425,434,438,597,605,610,622,629,636,648,652,669,673,679,691,701,709,718,727,730,737,748,759,771,776,783,790,798,813,821,828,838,846,850,858,870,878,883,898,899,911,921,932,935,949,953,961,972,978,989,994,1007,1015,1026,1028,1043,1048,1059,1066,1077,1085,1087,1103,1112,1113,1127,1135,1142,1155,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,31,40,44,55,63,69,82,87,95,107,117,120,134,142,146,162,163,171,313,326,332,340,346,357,364,372,380,387,397,409,415,424,431,444,467,603,610,625,627,636,644,655,668,675,683,691,702,711,717,728,735,742,746,763,767,776,787,795,802,810,822,828,835,848,851,863,869,880,886,894,901,916,919,929,937,949,954,964,973,981,991,1001,1005,1016,1022,1030,1043,1049,1057,1066,1072,1084,1089,1101,1105,1116,1128,1134,1146,1148,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,26,41,47,56,59,68,81,87,99,110,119,124,133,137,149,156,165,176,313,322,335,337,350,353,361,371,384,392,400,409,413,429,431,444,453,601,614,622,627,635,652,658,664,677,684,687,697,704,718,720,736,742,746,757,769,779,784,795,804,811,818,824,836,848,854,862,871,880,885,898,907,909,918,926,941,948,954,966,971,983,986,998,1009,1016,1019,1031,1037,1048,1058,1065,1077,1084,1090,1096,1107,1118,1126,1136,1144,1155,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,21,31,39,46,55,65,70,84,93,100,106,119,120,133,139,151,157,168,174,315,324,330,337,348,360,366,369,383,392,401,410,414,423,435,444,597,601,615,623,631,639,646,659,665,676,683,693,695,709,712,722,730,740,750,758,767,778,788,792,804,813,818,823,833,848,857,863,867,877,884,899,903,916,924,927,938,944,957,963,969,981,986,997,1006,1018,1021,1029,1044,1048,1060,1070,1078,1085,1088,1100,1107,1119,1121,1138,1146,1148,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,10,21,33,41,44,57,61,76,83,88,98,103,114,125,133,136,149,155,169,175,314,321,329,342,349,357,361,372,382,388,401,406,417,427,437,441,600,601,610,619,626,642,651,657,663,677,679,686,701,704,712,720,730,738,749,756,768,772,782,789,802,809,819,826,836,846,857,862,869,874,891,897,902,913,919,927,941,948,955,964,976,977,989,1000,1003,1016,1021,1033,1039,1046,1060,1062,1073,1084,1095,1098,1111,1119,1128,1136,1143,1152,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,30,42,48,58,63,72,81,88,101,104,118,123,131,137,146,155,162,177,317,320,332,337,352,359,361,371,382,394,399,410,412,425,435,440,597,604,616,621,627,641,645,654,665,674,680,694,702,704,715,725,730,738,747,761,763,772,782,789,805,814,819,829,833,846,854,858,868,878,887,894,907,914,921,929,934,950,952,966,974,978,986,1001,1008,1013,1027,1035,1038,1048,1057,1070,1075,1082,1093,1102,1105,1120,1122,1136,1142,1154,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,27,39,46,56,60,76,84,90,95,110,112,121,128,140,151,161,163,175,317,321,328,339,351,356,361,372,382,389,403,410,417,422,435,444,598,602,610,621,626,635,648,654,661,673,682,688,700,704,712,724,732,743,754,758,770,771,783,788,797,806,822,829,832,840,852,863,872,882,891,898,905,913,923,931,940,944,954,963,975,981,993,995,1010,1016,1022,1035,1039,1049,1060,1066,1073,1086,1094,1103,1111,1121,1122,1135,1141,1155,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,33,38,47,54,63,68,84,86,97,108,117,122,133,139,148,159,166,171,317,325,329,340,343,358,367,374,383,394,400,405,413,421,434,440,598,604,616,622,630,637,650,658,661,674,679,692,698,705,719,721,729,740,748,759,767,779,782,789,798,806,815,826,834,843,855,861,869,874,885,891,904,916,925,926,934,950,959,962,971,979,992,997,1006,1012,1024,1030,1041,1053,1059,1063,1074,1083,1094,1098,1109,1121,1124,1134,1146,1149,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,25,31,38,46,52,62,71,77,91,100,106,111,120,135,137,152,155,165,176,184,324,330,342,349,359,365,373,378,394,402,406,412,426,429,439,599,608,610,620,630,635,650,660,661,676,682,688,697,703,720,724,734,739,750,754,767,773,786,790,804,813,821,827,838,840,850,864,870,875,885,891,903,911,917,932,940,949,952,965,974,984,991,1001,1008,1016,1022,1030,1038,1052,1060,1068,1073,1084,1091,1100,1108,1117,1128,1138,1139,1149,1158,1170,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,9,22,29,34,47,54,65,74,78,89,101,104,117,120,130,139,153,156,168,177,318,323,329,343,344,356,368,369,380,389,396,410,419,426,436,440,460,607,617,626,632,640,652,660,661,673,678,690,699,708,715,722,732,739,751,754,763,773,787,797,803,812,821,827,838,846,852,862,868,874,889,892,900,909,920,929,936,944,954,962,974,980,986,998,1009,1016,1021,1030,1036,1045,1059,1066,1074,1086,1089,1101,1108,1119,1125,1134,1141,1152,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,28,42,46,57,66,75,83,88,94,106,114,126,129,142,146,157,166,172,314,322,332,335,350,353,361,373,384,394,398,409,413,420,432,443,596,608,613,621,631,641,647,652,666,671,679,688,698,704,715,721,735,742,749,755,768,778,788,790,798,807,822,831,832,848,850,858,869,877,886,895,907,912,920,928,935,945,956,961,974,979,986,995,1007,1014,1021,1036,1042,1049,1058,1067,1070,1083,1095,1101,1106,1113,1123,1135,1139,1153,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,32,37,49,57,60,73,82,88,101,104,113,125,135,141,152,158,168,174,317,320,329,337,345,358,368,376,379,390,396,408,417,427,432,438,597,601,616,618,628,642,648,652,662,677,679,689,703,707,719,721,737,741,748,759,770,777,787,794,799,807,822,829,833,846,849,858,871,879,884,896,904,916,919,932,939,946,955,965,970,981,989,995,1002,1013,1025,1033,1044,1051,1059,1065,1078,1084,1093,1098,1109,1119,1124,1134,1142,1150,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,28,39,50,52,61,72,79,89,98,104,114,122,133,142,145,159,163,177,315,323,331,338,348,359,367,373,383,389,396,409,416,426,432,439,468,606,616,624,629,636,649,658,665,674,684,686,701,711,712,721,729,745,754,759,764,772,781,793,798,811,819,830,835,840,854,862,868,876,882,895,903,910,919,932,938,947,956,962,975,981,985,995,1010,1012,1027,1031,1043,1051,1061,1066,1075,1086,1089,1099,1110,1119,1126,1132,1140,1151,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,32,37,47,53,67,71,85,90,99,104,112,121,131,138,145,155,164,174,317,320,328,339,347,359,364,371,383,393,399,405,412,421,436,441,599,604,610,624,630,635,649,657,662,676,682,686,699,706,718,723,734,742,751,760,764,776,784,792,797,810,816,830,839,842,850,863,866,877,885,896,900,909,919,930,935,950,953,962,974,978,986,998,1006,1015,1022,1031,1037,1048,1058,1067,1072,1079,1092,1103,1110,1119,1128,1137,1139,1149,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,33,35,45,55,66,69,85,93,100,104,111,124,135,139,150,162,165,178,314,318,332,338,344,355,361,371,379,390,399,404,418,422,436,443,600,601,613,621,630,643,644,659,668,676,677,689,700,711,712,726,732,742,752,760,766,777,785,795,803,809,818,824,835,840,855,858,870,879,889,899,903,915,921,929,940,945,953,960,975,980,989,1002,1010,1015,1023,1028,1044,1049,1061,1064,1072,1081,1095,1102,1111,1118,1122,1138,1143,1151,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,27,38,50,58,63,71,78,90,96,110,111,120,133,143,150,153,169,175,313,323,327,339,346,360,362,371,381,394,396,405,420,422,430,445,599,603,610,619,627,635,648,652,663,673,681,692,699,708,713,726,733,740,752,762,763,777,787,790,804,807,820,823,838,841,856,863,867,875,890,898,903,909,925,926,936,947,958,961,976,979,986,995,1003,1019,1022,1031,1043,1050,1057,1064,1076,1085,1095,1099,1112,1121,1129,1130,1141,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,32,42,46,52,65,74,78,92,93,105,114,127,135,140,151,155,169,173,318,323,327,337,345,360,362,372,385,390,397,409,415,422,435,445,459,606,610,622,627,642,649,658,667,670,683,688,698,705,720,723,729,745,751,762,766,777,787,789,805,813,817,829,836,845,854,865,866,879,886,893,906,915,922,927,939,942,953,962,973,982,987,1001,1006,1017,1021,1036,1042,1048,1060,1070,1071,1083,1088,1103,1110,1113,1125,1138,1145,1153,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,29,41,46,58,64,69,77,87,100,105,111,121,129,144,146,160,166,172,316,320,331,337,351,353,366,370,381,389,402,406,412,429,437,446,599,603,617,621,628,639,649,658,663,677,681,694,699,706,714,721,736,742,750,754,768,779,788,792,804,810,818,825,833,843,853,858,868,881,889,896,907,913,921,925,936,947,954,965,974,983,992,1000,1007,1013,1025,1030,1042,1051,1058,1068,1076,1082,1094,1097,1105,1120,1122,1132,1144,1148,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,30,41,50,57,59,71,79,91,100,103,115,124,136,137,146,158,169,178,314,325,327,340,348,358,362,374,379,392,398,411,419,429,437,440,460,607,616,621,631,636,650,655,666,675,681,691,698,703,712,727,730,745,746,757,771,774,780,791,805,814,816,826,832,843,852,858,870,875,884,895,900,913,917,933,935,945,952,965,970,978,986,998,1010,1015,1022,1034,1038,1052,1053,1066,1071,1080,1091,1099,1112,1119,1125,1138,1143,1151,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,25,28,37,50,56,66,70,84,87,94,105,115,123,130,144,151,160,166,172,317,326,328,337,350,358,367,370,381,395,398,411,414,428,430,443,600,603,613,624,634,639,647,653,661,670,684,691,700,707,718,722,735,743,746,762,766,775,782,793,803,808,817,825,832,847,852,862,867,880,887,891,901,911,923,928,935,951,958,966,969,983,989,996,1007,1011,1020,1033,1042,1049,1059,1067,1077,1085,1088,1099,1106,1113,1128,1132,1140,1155,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,33,42,43,53,66,76,82,87,94,110,116,125,131,142,150,158,165,175,313,324,333,336,344,355,368,370,378,391,397,403,420,423,436,441,600,603,615,621,628,643,649,656,662,676,684,692,698,708,717,727,734,744,749,758,769,775,786,789,803,807,814,823,833,841,852,863,868,882,890,896,902,908,924,933,939,946,956,965,974,983,988,996,1003,1017,1026,1032,1041,1048,1055,1062,1077,1085,1093,1098,1111,1119,1122,1133,1144,1151,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,21,33,39,43,57,61,76,77,92,95,103,117,123,129,137,150,156,166,176,183,322,333,342,347,359,365,370,384,392,399,403,417,427,429,439,469,601,611,622,634,636,648,659,663,673,683,693,702,711,712,728,735,740,748,760,768,775,781,789,800,809,819,831,835,844,851,863,869,880,890,895,903,909,922,925,936,944,952,965,974,979,987,997,1003,1014,1025,1031,1043,1050,1055,1068,1072,1084,1093,1102,1106,1116,1126,1137,1145,1153,1156,1172	1,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,22,33,35,44,58,60,72,78,91,96,109,114,123,135,142,147,156,165,178,190,320,328,337,352,353,362,371,383,387,402,408,418,425,429,445,600,608,617,625,632,641,646,660,663,669,685,689,702,707,714,727,729,745,747,759,766,773,781,791,798,807,821,823,833,840,852,858,866,877,882,895,903,915,918,925,936,946,951,966,969,981,985,997,1010,1013,1020,1036,1043,1053,1057,1070,1072,1083,1089,1104,1113,1118,1127,1135,1139,1151,1161,1169,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,20,31,36,50,58,62,73,84,88,100,108,117,124,131,142,146,155,164,172,184,325,327,340,352,360,364,375,385,392,399,407,418,425,430,440,600,609,610,619,631,638,647,657,668,674,679,692,702,703,713,721,735,742,753,756,770,778,783,790,804,811,821,830,833,843,849,864,871,880,883,896,906,912,921,930,934,942,959,966,973,979,989,995,1006,1015,1020,1035,1039,1051,1061,1064,1076,1085,1091,1097,1108,1120,1122,1134,1143,1148,1163,1170,1174	1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,11,24,28,40,45,51,60,76,84,90,98,109,116,124,132,136,151,153,163,175,179,325,333,343,346,354,361,374,380,393,402,408,415,426,437,445,448,603,614,626,629,635,648,653,665,676,682,689,697,706,712,725,732,738,751,755,764,774,783,790,797,814,820,831,835,840,856,857,873,879,884,899,907,916,919,928,934,949,957,966,973,980,990,997,1003,1016,1023,1032,1040,1052,1060,1068,1073,1079,1087,1103,1111,1117,1122,1132,1146,1154,1159,1165	0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,11,23,33,41,44,59,61,69,82,91,101,109,114,127,133,142,147,161,166,175,191,322,332,337,346,354,366,370,381,394,398,407,416,422,434,439,457,607,610,620,633,638,647,660,663,669,680,689,696,708,716,725,733,740,748,754,769,777,780,790,798,808,822,830,838,844,850,862,873,876,885,898,906,915,917,926,934,949,955,963,969,977,987,993,1002,1013,1023,1032,1041,1051,1059,1062,1074,1084,1089,1101,1110,1117,1126,1132,1145,1152,1157,1166	1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,22,31,38,47,55,63,70,83,89,99,105,118,127,133,140,147,154,165,174,185,323,333,341,351,357,366,369,386,391,399,407,419,425,436,446,468,605,615,625,632,643,651,654,668,673,680,691,703,705,712,727,734,743,746,758,767,771,783,791,803,806,820,826,838,842,856,857,868,880,890,894,906,916,923,928,935,944,953,963,969,981,987,1000,1005,1012,1026,1034,1037,1049,1056,1066,1072,1086,1090,1104,1110,1120,1129,1136,1140,1152,1158,1167	1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
6,13,25,27,35,48,54,63,70,80,88,96,105,118,122,135,139,153,161,169,174,183,321,329,339,350,354,366,373,385,389,402,411,419,425,432,443,598,607,614,626,634,640,645,659,664,676,686,691,696,706,713,727,732,737,749,762,768,776,788,795,805,812,815,829,835,842,854,858,870,881,889,895,907,908,922,925,939,947,956,959,975,983,991,996,1004,1014,1020,1030,1040,1047,1059,1062,1073,1086,1088,1096,1108,1113,1122,1132,1141,1151,1161,1167,1173	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,19,31,41,45,57,67,73,81,88,102,106,116,127,131,142,145,159,170,171,317,326,328,339,347,355,367,370,378,389,397,406,414,424,434,441,466,606,615,620,631,636,651,654,667,671,681,693,695,704,717,728,733,744,746,759,767,773,786,795,803,808,814,826,838,842,852,858,867,882,888,898,902,911,917,933,939,946,953,963,968,977,988,998,1003,1011,1021,1034,1038,1048,1058,1065,1077,1083,1089,1100,1104,1113,1129,1134,1139,1150,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,18,33,35,43,58,67,73,80,91,94,106,113,122,135,145,149,161,164,176,313,323,330,337,352,359,363,374,378,392,396,404,419,422,436,441,468,606,613,624,631,637,648,655,663,676,679,693,699,705,720,725,733,746,747,757,763,779,782,794,797,812,821,830,836,846,855,857,869,877,886,892,903,914,924,930,941,949,954,960,968,980,991,1000,1006,1014,1020,1036,1044,1052,1054,1068,1072,1080,1089,1103,1110,1115,1122,1131,1140,1152,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,31,35,46,58,66,76,83,87,98,107,118,122,133,137,147,156,163,174,179,320,333,337,348,357,366,372,382,393,396,408,413,424,433,445,460,601,613,624,627,640,646,660,664,677,683,691,698,705,719,728,733,740,751,760,764,777,785,791,803,809,818,827,835,842,851,864,865,878,883,898,902,914,921,930,937,948,951,965,968,977,986,999,1002,1015,1027,1031,1044,1049,1059,1066,1075,1084,1093,1100,1108,1117,1126,1137,1139,1155,1158,1166	1,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,22,33,39,44,58,66,71,85,88,94,108,113,124,135,141,150,154,170,179,189,321,334,337,346,360,361,374,383,393,396,406,415,420,430,446,599,602,616,621,633,636,645,654,668,671,685,686,695,707,714,721,730,744,752,762,770,778,786,795,802,812,814,825,838,845,851,863,865,880,883,894,904,916,918,933,934,945,956,967,972,983,986,994,1007,1017,1027,1030,1040,1050,1054,1062,1078,1080,1095,1096,1109,1113,1129,1134,1139,1153,1159,1170,1178	0,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,18,32,34,47,59,63,72,77,91,95,102,116,123,135,137,151,161,164,173,189,323,331,338,346,360,367,376,384,392,402,406,412,423,430,440,465,608,610,625,629,637,651,653,661,671,683,690,695,704,717,727,736,743,753,761,767,779,784,789,802,812,815,824,833,842,855,857,868,878,890,899,907,910,921,931,935,943,959,965,976,985,993,994,1007,1015,1025,1033,1042,1045,1058,1070,1071,1081,1088,1103,1108,1121,1122,1133,1143,1147,1161,1169,1175	0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,10,17,27,36,44,57,64,76,79,92,94,109,112,125,130,140,151,161,169,178,183,322,334,340,349,360,363,374,382,389,396,409,419,424,435,439,596,606,612,621,634,643,651,658,662,672,681,693,702,706,719,726,734,745,753,756,768,779,784,795,802,806,822,823,835,846,850,862,868,880,890,891,900,913,921,933,936,944,956,964,972,979,991,998,1003,1017,1024,1033,1037,1053,1061,1068,1074,1080,1091,1103,1113,1118,1130,1132,1141,1151,1163,1168,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,20,33,38,46,51,61,74,83,89,96,107,119,127,129,144,149,157,168,176,179,324,334,335,352,353,361,372,384,387,400,411,420,423,432,438,599,607,611,619,630,641,646,653,666,675,685,689,701,708,713,728,730,738,752,762,765,774,783,790,804,814,820,825,838,844,856,857,870,876,889,892,900,916,919,932,940,944,958,966,969,983,991,1001,1006,1011,1022,1028,1043,1049,1058,1063,1078,1085,1095,1102,1111,1120,1128,1136,1143,1153,1163,1164,1174	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,16,25,31,40,49,52,64,68,82,93,101,110,117,124,134,140,146,161,166,175,180,324,328,339,346,360,365,374,384,392,399,410,413,423,432,442,468,601,611,619,628,635,652,660,667,670,682,693,702,706,714,725,732,740,748,756,767,779,782,794,804,811,815,826,835,846,854,861,872,876,882,893,906,911,920,933,937,947,958,963,975,980,988,999,1009,1017,1024,1032,1039,1051,1060,1067,1075,1083,1088,1096,1107,1116,1127,1137,1142,1149,1157,1164	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,23,30,34,49,53,67,75,77,88,96,103,116,126,134,140,149,161,168,170,315,326,330,343,347,358,366,369,380,388,402,411,417,428,437,445,449,606,609,624,627,636,647,652,667,676,679,694,700,705,716,727,730,744,750,755,767,774,782,792,803,809,818,827,839,845,852,857,866,880,889,897,902,914,919,931,939,948,952,961,969,983,993,994,1004,1017,1025,1035,1037,1051,1059,1067,1074,1085,1090,1100,1113,1118,1124,1132,1143,1150,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,33,41,50,54,60,74,78,86,101,105,113,127,132,142,153,157,166,171,314,326,327,338,352,354,363,374,383,390,395,406,413,427,436,439,598,601,615,623,632,639,649,657,668,677,679,691,703,705,716,728,732,742,749,755,763,775,782,792,801,814,820,829,831,842,850,860,868,875,890,894,904,911,922,929,935,943,957,961,973,982,987,995,1005,1014,1021,1035,1039,1045,1058,1068,1074,1084,1091,1100,1106,1119,1124,1134,1146,1151,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,28,34,43,59,67,75,81,85,100,104,114,120,130,138,152,157,163,174,316,318,333,338,348,354,368,373,380,388,402,405,415,427,432,439,447,602,610,622,634,642,648,652,663,672,685,692,700,705,718,727,736,742,751,758,771,772,788,791,803,810,818,824,834,840,848,865,871,875,889,895,904,914,924,926,937,949,953,966,968,983,991,1001,1003,1016,1026,1035,1043,1051,1056,1062,1071,1084,1094,1102,1108,1113,1125,1137,1145,1153,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,30,40,44,53,63,75,84,90,94,110,117,125,128,138,151,159,169,177,317,319,334,339,349,356,366,376,380,390,399,406,416,424,435,441,468,607,611,619,630,642,643,652,662,670,680,691,700,711,719,727,730,742,753,760,765,776,782,791,798,806,818,823,833,841,849,864,867,877,885,892,906,916,917,927,940,946,958,965,974,977,989,998,1008,1013,1027,1032,1041,1049,1058,1064,1073,1087,1088,1099,1106,1113,1126,1135,1146,1150,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,23,32,35,44,54,61,74,80,86,98,105,118,124,136,143,147,158,170,173,315,321,332,336,352,357,363,374,386,394,397,408,419,426,435,437,452,602,614,625,631,639,652,659,662,672,680,691,700,706,712,723,731,741,750,761,770,779,780,790,802,812,821,829,836,848,849,861,866,878,882,892,902,911,922,932,934,944,954,963,976,979,989,995,1006,1011,1025,1034,1044,1051,1058,1070,1074,1082,1090,1102,1113,1119,1128,1131,1140,1148,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,31,41,50,55,62,70,81,92,94,103,112,120,131,137,149,158,170,173,314,323,332,338,349,359,369,377,382,388,403,409,417,424,432,440,599,603,613,621,630,639,644,653,663,673,680,691,702,708,715,722,736,737,746,760,763,774,786,792,799,807,816,828,836,842,851,862,870,882,887,894,904,913,918,930,936,949,951,966,970,981,987,999,1007,1014,1026,1028,1038,1052,1060,1062,1076,1081,1090,1101,1106,1119,1123,1135,1143,1155,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,30,40,50,57,65,69,83,90,95,110,113,125,132,140,148,157,162,171,313,326,327,343,346,360,368,371,381,386,396,411,416,423,437,445,450,608,617,620,633,643,649,653,662,675,677,688,701,707,717,720,733,743,751,762,771,780,788,795,802,810,817,830,831,841,853,862,866,874,886,891,907,911,925,927,936,947,957,966,969,979,989,1001,1008,1012,1021,1035,1042,1051,1054,1068,1077,1082,1095,1101,1113,1120,1126,1130,1142,1147,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,17,28,35,45,53,60,70,81,93,98,106,116,127,132,137,146,162,168,173,317,319,332,336,351,357,364,370,385,389,396,408,415,426,435,444,596,604,609,622,634,642,643,656,666,670,683,686,696,704,718,728,732,737,751,760,771,778,781,797,803,812,814,825,833,844,850,865,869,882,883,892,901,911,921,925,935,944,951,963,971,979,990,997,1006,1016,1021,1030,1043,1052,1054,1062,1071,1085,1094,1100,1106,1121,1127,1135,1145,1148,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,25,39,49,57,67,73,83,88,94,106,113,126,135,144,152,154,167,178,182,326,327,339,348,357,364,371,380,388,397,406,417,424,430,438,454,608,617,624,634,639,645,658,665,669,682,686,702,709,716,725,729,737,752,758,769,776,786,795,802,811,815,826,832,843,851,862,868,880,887,894,908,909,919,928,938,943,957,966,971,980,991,996,1007,1012,1024,1028,1043,1052,1056,1068,1075,1079,1095,1099,1110,1118,1124,1138,1139,1150,1163,1164,1178	1,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,19,33,42,44,56,60,68,81,87,99,108,112,123,135,144,153,160,169,176,315,321,329,338,351,356,363,376,380,387,402,407,416,425,430,444,453,602,615,622,629,636,644,653,668,672,678,691,697,707,716,721,735,742,749,761,764,772,786,793,799,808,818,825,833,842,855,863,867,874,884,898,904,912,920,929,938,947,954,964,971,976,992,1002,1010,1019,1027,1035,1043,1046,1060,1062,1071,1079,1091,1096,1107,1121,1127,1133,1139,1154,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,23,33,42,49,58,60,73,82,88,97,106,118,125,135,142,150,158,168,171,314,325,327,339,346,352,362,372,384,394,397,412,415,426,437,444,454,603,609,622,634,640,649,657,666,671,685,687,703,711,718,727,729,744,753,760,765,777,780,794,799,805,822,825,837,846,848,858,869,881,888,899,901,912,921,931,935,945,957,961,968,984,993,994,1009,1018,1023,1034,1036,1048,1054,1064,1078,1080,1093,1097,1108,1115,1124,1134,1139,1149,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,25,33,40,48,56,66,76,81,87,97,102,117,122,131,142,152,158,168,177,315,321,328,338,348,356,363,373,384,392,401,411,418,423,430,437,596,606,614,621,634,642,648,659,666,672,679,690,700,707,717,726,734,737,748,763,765,773,788,793,804,807,821,823,837,847,852,862,870,881,885,892,903,909,920,930,940,950,955,961,976,978,990,995,1006,1013,1021,1035,1039,1051,1058,1068,1076,1079,1090,1104,1106,1119,1127,1137,1147,1151,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,32,36,49,56,61,75,82,91,97,107,118,123,131,142,151,155,165,170,314,320,327,338,349,358,369,371,384,394,395,410,417,422,436,440,450,609,617,625,627,638,644,655,664,673,680,688,701,707,713,725,733,740,753,760,766,777,782,790,799,810,819,825,834,845,851,859,871,881,889,896,903,908,921,925,940,950,955,965,976,985,987,998,1009,1015,1023,1034,1039,1047,1057,1065,1077,1086,1094,1103,1111,1118,1125,1137,1139,1154,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,26,36,42,56,64,73,82,90,101,110,117,126,131,141,153,157,169,171,181,319,327,337,352,357,362,373,386,393,395,410,418,424,430,438,598,605,616,624,629,635,644,658,665,672,682,694,695,710,715,728,730,739,752,757,770,778,787,792,805,812,822,828,836,845,851,858,868,881,889,895,900,915,924,930,936,946,957,961,975,982,988,995,1010,1012,1024,1031,1043,1049,1060,1066,1070,1079,1095,1096,1111,1116,1125,1132,1142,1154,1158,1165	1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,19,33,39,47,58,63,71,82,93,96,102,114,122,128,140,145,154,162,176,316,320,327,342,350,359,362,372,383,392,397,409,418,424,434,445,597,604,611,624,629,643,646,656,667,673,680,687,702,703,717,725,736,743,752,757,764,777,785,791,805,811,817,824,840,845,853,864,871,876,883,892,900,914,924,931,937,945,952,967,972,981,990,995,1006,1018,1025,1029,1037,1048,1055,1067,1071,1083,1092,1098,1110,1118,1129,1138,1141,1149,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,18,30,35,43,54,64,71,77,93,98,103,113,124,134,140,153,159,165,178,313,324,328,336,350,357,369,373,386,388,395,412,418,427,435,442,597,604,610,620,628,637,645,652,669,673,683,689,702,710,718,721,736,745,754,757,766,775,787,790,799,810,816,824,837,843,850,862,870,879,887,899,902,915,923,931,936,949,957,966,972,980,988,993,1005,1010,1024,1034,1042,1052,1055,1067,1077,1081,1095,1103,1111,1113,1129,1130,1144,1148,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,24,31,37,47,53,66,69,77,91,96,110,115,121,132,140,145,153,169,173,318,325,334,342,347,360,364,375,381,388,402,405,414,426,433,439,598,607,613,624,633,636,647,654,665,675,680,693,702,703,711,726,733,740,746,755,768,774,785,791,804,811,815,828,832,846,851,861,866,880,885,896,901,910,919,932,939,944,953,964,975,978,985,995,1002,1011,1026,1028,1041,1046,1056,1069,1071,1081,1089,1098,1111,1119,1121,1138,1140,1153,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,32,41,50,53,66,69,77,91,102,105,116,126,135,144,153,155,164,176,313,325,335,337,351,360,365,376,381,394,397,410,414,423,430,438,600,609,617,620,635,637,649,654,662,671,678,688,695,708,720,722,733,742,750,761,763,773,783,789,798,809,822,824,833,846,855,859,871,881,885,898,905,910,917,931,941,946,953,963,968,984,991,996,1004,1013,1022,1030,1044,1046,1055,1068,1073,1081,1087,1099,1110,1114,1128,1131,1139,1155,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,31,40,47,57,67,72,83,86,98,109,114,127,132,136,147,157,166,176,313,320,333,343,349,359,361,375,384,392,398,409,414,424,431,440,449,601,612,625,629,638,649,653,663,676,684,693,697,710,712,722,737,742,751,756,765,772,785,794,797,807,821,823,832,843,855,859,868,874,890,892,903,916,923,930,938,950,957,965,969,980,989,997,1007,1014,1025,1031,1037,1048,1057,1067,1073,1082,1087,1097,1107,1114,1127,1134,1143,1150,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,30,40,44,57,65,74,78,87,98,107,117,125,128,137,147,159,164,177,316,321,332,342,352,359,365,377,383,395,400,404,412,422,430,439,597,604,615,620,627,640,646,659,668,674,683,690,697,707,713,723,736,741,750,754,767,777,787,790,797,813,820,823,834,844,854,863,869,877,889,897,907,913,916,928,938,949,953,964,969,979,985,996,1006,1016,1022,1032,1041,1049,1057,1068,1071,1081,1093,1100,1105,1119,1128,1137,1141,1154,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,23,29,34,42,57,67,75,78,85,95,109,118,125,133,137,148,160,163,175,316,319,332,339,348,353,364,372,383,386,397,409,418,424,435,440,462,603,614,620,626,638,650,655,660,672,682,690,702,707,712,724,734,742,748,757,765,775,785,791,802,812,816,827,837,844,850,864,872,879,885,893,906,914,924,929,941,946,953,961,969,983,987,1001,1007,1014,1023,1036,1038,1053,1060,1066,1075,1086,1087,1098,1112,1113,1123,1136,1142,1148,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,32,37,49,56,63,68,82,89,98,110,117,121,129,140,150,157,170,175,316,320,329,336,345,353,367,369,378,386,402,411,418,422,436,445,600,603,615,624,627,640,647,657,662,675,684,694,697,709,712,725,730,741,752,758,769,776,781,794,798,807,817,823,834,847,856,864,868,875,883,892,904,915,918,928,936,948,959,961,974,983,988,993,1004,1011,1026,1036,1044,1050,1053,1069,1074,1080,1090,1097,1107,1121,1128,1130,1140,1155,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,30,42,46,52,67,76,82,86,101,108,118,121,136,140,153,160,168,173,314,320,328,336,348,358,365,375,381,394,398,410,414,425,436,441,597,601,613,619,628,643,650,657,663,672,680,691,696,703,716,726,735,742,748,756,763,772,785,789,799,809,814,830,831,840,853,858,867,880,885,896,908,909,920,929,939,945,952,960,968,980,990,996,1010,1011,1022,1031,1044,1050,1055,1067,1075,1080,1091,1101,1110,1120,1128,1137,1146,1151,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,22,26,37,48,51,65,73,82,88,97,103,116,124,135,140,149,160,169,173,317,323,331,341,348,353,364,374,383,391,401,412,416,427,433,442,598,606,616,619,634,638,644,655,665,677,684,690,701,705,718,728,732,738,746,760,766,778,786,792,799,811,822,830,838,840,855,862,874,878,884,896,907,915,923,931,942,945,955,960,973,982,985,1001,1009,1017,1024,1033,1043,1048,1056,1066,1076,1086,1094,1104,1105,1115,1126,1138,1145,1153,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,27,36,50,54,65,72,83,88,97,105,118,124,133,137,145,156,168,176,314,318,331,337,348,360,368,377,380,391,397,411,412,429,436,444,598,604,617,626,628,641,650,656,662,674,684,688,695,704,718,723,731,745,748,760,767,779,783,790,800,814,820,823,837,842,854,865,866,876,889,894,904,915,917,927,934,950,959,960,971,982,987,1000,1006,1013,1027,1036,1038,1049,1058,1066,1076,1081,1090,1102,1112,1113,1126,1138,1140,1155,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,23,32,40,49,57,65,68,77,91,100,108,111,127,134,138,145,155,168,175,314,326,335,339,351,358,363,373,378,393,395,410,414,425,431,443,599,605,614,621,627,637,649,652,661,673,684,692,699,705,715,723,734,742,748,763,766,773,783,791,800,813,815,824,832,840,855,857,871,876,888,896,902,912,923,926,938,944,953,961,971,983,993,997,1010,1011,1021,1036,1042,1051,1059,1064,1075,1084,1090,1098,1112,1114,1128,1133,1143,1153,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,25,27,38,48,52,61,72,82,93,94,110,118,122,134,143,150,157,167,179,184,319,328,336,352,353,366,370,385,392,397,410,417,421,433,445,599,602,616,626,630,641,647,652,664,672,678,689,697,711,716,725,732,743,753,758,767,779,783,794,801,811,816,826,839,845,854,865,873,878,885,896,905,911,920,930,935,945,953,962,975,977,992,999,1010,1017,1025,1031,1043,1049,1054,1062,1078,1083,1091,1096,1109,1120,1124,1136,1146,1151,1163,1171,1174	1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,22,33,37,43,53,67,73,78,88,100,110,113,123,132,144,152,155,167,177,180,318,332,339,351,353,365,372,381,393,398,404,417,423,430,442,596,601,615,625,628,639,644,655,661,676,685,692,701,705,715,722,732,739,748,759,769,777,788,795,800,811,817,825,839,847,852,857,871,882,889,891,907,915,918,930,941,948,959,967,972,979,988,999,1005,1017,1023,1033,1040,1046,1057,1069,1078,1079,1090,1103,1108,1118,1129,1137,1140,1151,1157,1172,1174	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,19,30,37,44,56,62,75,83,86,102,109,113,120,130,143,149,157,167,174,191,326,328,343,351,353,368,372,380,393,398,410,420,424,436,439,462,605,614,623,627,642,646,655,664,670,683,692,698,707,717,720,736,737,753,762,765,777,782,796,804,806,821,825,837,842,855,865,869,875,886,894,900,909,922,928,935,948,954,967,975,982,993,998,1008,1016,1022,1029,1037,1048,1057,1063,1075,1085,1088,1103,1109,1114,1125,1132,1140,1151,1157,1167,1176	0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0
1,15,21,26,39,48,56,65,69,82,86,96,106,118,126,132,136,151,156,168,176,183,320,328,336,344,358,361,374,378,394,401,407,419,427,432,437,598,602,613,626,629,640,649,656,666,675,682,690,699,708,714,727,733,740,751,760,763,775,784,793,797,811,818,830,832,844,856,861,868,875,890,898,904,914,918,929,938,949,953,960,970,983,990,996,1008,1016,1027,1034,1036,1048,1061,1069,1074,1087,1094,1104,1111,1119,1122,1137,1141,1153,1160,1171	0,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,19,33,41,46,55,67,70,80,90,96,106,111,127,128,143,145,156,168,179,189,320,327,340,347,353,364,370,386,394,402,407,419,423,433,442,450,606,614,620,632,636,645,656,666,671,683,687,698,708,713,727,735,742,746,756,768,777,781,797,800,811,820,824,838,844,850,859,869,878,890,899,900,912,924,926,936,950,951,965,970,984,988,994,1005,1017,1021,1029,1041,1052,1057,1069,1071,1082,1088,1102,1109,1115,1126,1137,1144,1152,1163,1170,1177	1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,15,21,27,42,45,54,60,75,80,92,96,104,115,121,130,142,147,157,163,177,180,321,332,341,347,360,366,372,386,392,401,403,414,426,431,438,599,604,615,620,630,638,647,659,661,675,680,687,698,703,714,726,737,739,749,759,769,773,785,793,799,806,819,826,839,845,851,857,869,878,890,891,904,914,918,933,936,950,958,960,969,983,990,999,1005,1018,1022,1029,1043,1045,1062,1063,1074,1083,1094,1104,1112,1113,1127,1137,1140,1149,1161,1168,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,18,33,39,49,57,67,72,83,91,100,102,112,124,129,137,153,160,164,171,183,323,327,338,347,354,363,371,382,389,402,407,416,427,436,441,598,607,613,621,634,643,645,658,661,669,678,687,702,704,719,720,732,745,753,760,765,772,783,795,805,810,815,824,834,844,855,864,871,879,887,893,905,913,916,932,938,946,958,965,971,980,991,1000,1006,1011,1024,1028,1043,1048,1054,1062,1076,1085,1094,1097,1106,1116,1127,1135,1142,1149,1163,1166,1175	0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,18,31,36,46,56,62,74,80,89,97,106,111,120,129,140,146,160,169,176,179,324,333,343,345,358,364,377,385,388,397,405,414,427,432,443,596,604,615,620,632,640,646,654,667,673,684,686,696,709,717,726,731,738,746,759,767,776,786,791,803,814,821,827,835,841,855,863,873,880,888,894,907,908,918,927,938,948,954,967,970,976,992,1000,1003,1019,1027,1028,1044,1048,1057,1065,1072,1086,1095,1099,1105,1119,1127,1138,1144,1151,1158,1170,1175	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,22,28,39,49,51,64,75,78,86,98,104,111,120,133,138,152,162,163,175,316,319,328,341,352,353,365,372,379,389,399,409,412,428,429,442,460,605,610,623,628,640,652,655,663,670,684,692,696,709,715,724,735,738,746,755,768,780,781,796,804,812,820,827,838,846,849,865,872,874,889,892,908,915,919,929,939,945,959,964,968,983,989,996,1005,1017,1023,1033,1043,1052,1060,1066,1073,1082,1088,1104,1109,1117,1130,1131,1142,1149,1158,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,33,37,45,53,63,70,85,91,100,106,118,122,133,141,151,158,163,172,184,323,334,339,346,359,365,373,379,394,402,410,414,428,435,438,599,605,609,624,629,637,644,660,664,672,683,689,698,704,714,726,733,740,749,762,767,772,781,790,802,808,820,827,838,844,851,858,868,878,887,896,908,911,916,927,940,950,956,964,971,981,987,998,1008,1011,1027,1028,1039,1048,1058,1070,1076,1082,1089,1102,1107,1114,1126,1133,1144,1154,1160,1172,1178	1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,17,21,28,36,49,58,63,69,84,87,101,108,117,126,132,140,151,162,167,171,187,326,331,340,344,353,361,370,382,388,403,404,415,429,431,443,599,603,611,624,631,642,652,656,661,676,683,687,700,706,714,724,736,738,753,758,765,775,785,796,803,814,815,823,838,847,851,858,868,880,889,893,907,915,924,931,934,948,956,968,976,983,989,994,1006,1016,1019,1035,1037,1045,1057,1064,1076,1085,1088,1097,1106,1121,1122,1133,1143,1148,1159,1172	0,1,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,22,26,35,46,57,68,73,78,92,94,102,114,122,128,139,146,160,168,171,188,325,333,338,351,359,361,371,381,389,402,411,420,426,435,442,599,606,614,624,629,643,647,659,667,673,680,688,697,711,716,721,734,743,748,760,766,774,780,796,804,809,819,828,835,840,848,865,868,874,890,894,899,910,920,926,935,950,951,963,974,984,990,995,1005,1013,1022,1029,1037,1048,1053,1069,1078,1086,1095,1102,1109,1115,1123,1135,1147,1149,1157,1166	1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,22,27,39,45,51,65,75,77,92,100,107,114,120,132,140,150,158,163,178,183,320,334,339,344,353,361,369,379,388,395,404,412,429,436,445,457,607,614,618,629,639,645,658,667,674,682,688,695,711,720,724,737,740,752,759,765,779,780,795,802,812,821,831,839,847,854,860,870,882,884,894,906,916,917,925,939,950,952,965,968,979,986,998,1007,1016,1024,1034,1044,1047,1058,1070,1071,1079,1088,1102,1105,1119,1126,1138,1147,1148,1158,1171,1177	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,16,22,33,39,47,56,63,72,82,87,97,106,111,121,132,144,151,159,164,173,189,319,335,337,344,353,364,370,383,392,400,404,416,425,432,441,454,604,612,623,634,637,647,656,663,677,682,692,698,705,715,723,735,744,751,757,765,777,781,795,804,807,816,827,832,844,850,857,871,874,884,897,907,911,921,930,940,948,958,965,969,984,991,996,1007,1013,1026,1035,1041,1050,1055,1067,1077,1082,1093,1098,1110,1113,1129,1138,1142,1151,1160,1171	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,13,17,32,40,49,54,62,71,82,90,97,104,119,122,132,142,151,156,169,173,206,321,331,341,345,354,365,372,381,389,401,407,415,424,432,445,598,608,609,623,633,637,646,654,667,677,680,688,700,710,716,722,736,738,751,763,765,774,783,795,798,812,816,828,835,846,850,863,868,878,886,892,903,913,917,929,938,945,951,966,970,982,989,994,1005,1013,1020,1032,1037,1049,1057,1067,1070,1079,1092,1102,1109,1119,1126,1131,1146,1155,1160,1171,1175	0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
4,14,21,26,42,50,55,65,71,85,92,94,103,115,123,134,139,147,161,168,179,313,322,328,341,348,353,368,376,378,394,403,410,414,421,435,439,600,606,613,626,628,635,646,654,668,671,684,691,701,711,713,725,734,741,747,754,767,777,787,792,803,806,822,830,837,841,853,859,866,875,883,897,908,914,923,926,940,947,956,960,973,976,990,995,1004,1015,1022,1029,1040,1052,1054,1069,1072,1086,1093,1096,1110,1115,1123,1136,1143,1149,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,34,38,45,57,63,69,82,92,94,109,117,124,135,139,148,160,163,178,314,322,333,336,345,352,362,375,383,392,403,409,420,422,436,443,448,600,616,623,631,640,651,658,661,670,682,687,701,705,720,722,732,742,749,758,771,776,781,797,801,814,818,829,835,840,856,860,869,880,890,891,907,913,921,925,942,949,956,959,969,981,986,1001,1005,1016,1026,1032,1042,1051,1055,1065,1072,1082,1090,1100,1104,1121,1127,1131,1146,1150,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,28,39,44,51,63,72,85,87,101,109,112,122,136,143,149,160,164,175,315,326,327,335,346,358,369,375,385,392,397,407,413,428,431,442,600,604,616,626,632,640,650,658,666,674,685,690,701,706,715,727,735,740,753,759,771,772,784,795,797,810,820,828,832,843,849,862,867,878,887,893,902,912,920,931,940,946,957,959,971,981,987,997,1003,1016,1025,1035,1041,1050,1060,1065,1072,1083,1092,1096,1113,1119,1126,1136,1139,1151,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,33,39,47,55,61,76,83,89,96,106,117,125,135,137,152,160,163,170,316,324,330,342,347,353,361,374,380,387,399,406,420,426,431,443,465,601,609,622,632,638,643,654,662,670,682,692,697,708,718,725,734,742,750,757,770,773,780,790,805,811,819,829,836,847,857,862,870,880,888,893,907,908,919,927,938,943,956,960,973,982,985,997,1006,1016,1023,1034,1043,1052,1057,1064,1078,1086,1092,1101,1110,1117,1127,1131,1143,1151,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,25,33,35,48,57,68,75,81,87,101,103,114,122,131,143,151,158,166,173,314,324,333,340,347,359,362,377,379,388,399,408,413,421,432,442,597,602,610,625,633,636,648,653,660,676,678,688,701,708,717,721,735,744,749,754,771,772,784,789,803,808,815,830,833,843,855,858,868,875,886,894,904,916,921,928,935,946,951,965,975,978,993,994,1002,1016,1026,1033,1039,1051,1053,1068,1075,1087,1092,1100,1108,1115,1127,1136,1144,1155,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,33,34,48,57,62,68,82,87,99,107,114,119,130,144,148,155,163,174,317,319,334,338,349,359,361,374,384,391,401,409,418,425,437,440,463,603,616,622,627,642,644,652,668,675,684,687,702,705,715,726,735,745,750,754,764,773,787,795,805,813,822,823,834,845,850,863,870,876,888,891,903,913,918,931,941,942,953,963,973,983,986,999,1005,1010,1020,1030,1040,1053,1055,1070,1073,1083,1088,1096,1112,1116,1126,1133,1142,1151,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,27,36,45,56,62,72,77,90,102,107,114,121,135,142,152,159,166,172,315,318,326,338,347,357,366,375,385,389,395,407,414,422,432,439,599,605,613,625,634,638,651,659,667,673,678,690,695,711,714,723,735,741,750,756,764,777,782,797,805,810,814,826,834,843,851,862,867,876,890,893,906,915,918,925,939,945,951,967,970,979,989,1001,1009,1014,1021,1033,1044,1052,1060,1066,1076,1085,1089,1101,1110,1117,1125,1131,1144,1149,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,33,39,44,52,61,76,83,93,100,105,115,127,136,138,149,157,164,176,318,323,330,343,345,354,369,371,379,393,399,406,419,426,431,439,600,606,610,623,627,636,651,658,669,670,678,691,698,708,713,723,731,739,748,760,766,774,782,792,800,806,821,827,835,844,852,860,870,878,883,891,906,909,923,929,940,945,955,965,970,980,985,999,1004,1010,1024,1031,1041,1045,1056,1067,1072,1087,1094,1099,1108,1117,1126,1136,1143,1151,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,29,41,50,54,66,76,84,90,96,106,114,123,130,136,150,158,164,175,188,318,328,342,348,360,365,377,385,393,397,405,417,428,437,446,597,604,613,621,630,642,646,659,661,676,680,689,695,706,715,726,730,744,748,757,769,772,780,789,805,806,822,827,837,841,851,863,871,882,890,899,901,908,924,933,940,945,957,964,975,981,988,993,1002,1018,1026,1028,1038,1045,1060,1070,1078,1080,1094,1104,1107,1115,1124,1135,1140,1148,1164,1169	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,23,28,40,43,59,65,70,83,90,97,106,112,126,129,136,149,157,162,172,317,323,332,343,349,353,364,371,382,393,400,409,413,427,433,438,599,606,610,624,628,642,646,658,666,671,684,687,695,706,714,728,737,744,747,756,768,778,783,792,803,813,821,831,836,844,848,859,872,875,886,892,906,912,917,932,936,945,955,960,974,980,993,999,1007,1012,1020,1034,1043,1053,1056,1066,1073,1082,1091,1099,1112,1116,1123,1131,1144,1148,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,26,37,48,55,65,76,83,90,94,109,113,127,129,136,146,161,165,174,317,326,333,337,345,358,363,372,384,388,397,405,415,423,437,445,597,601,610,618,631,642,651,657,662,670,682,687,697,710,715,722,735,738,748,762,768,772,782,795,804,808,819,828,834,844,851,864,872,875,884,899,904,916,917,933,937,950,956,959,971,984,985,995,1007,1016,1025,1036,1041,1048,1059,1067,1073,1083,1091,1099,1112,1119,1128,1130,1140,1147,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,32,36,47,51,67,72,76,90,101,110,119,126,135,138,149,159,169,178,314,322,328,336,346,356,362,371,382,394,397,411,412,428,431,439,598,604,614,625,630,635,645,654,663,677,679,687,695,707,714,727,735,737,746,756,769,773,785,794,804,811,820,826,836,844,850,863,868,874,889,895,907,914,921,933,937,946,954,962,976,983,990,994,1007,1017,1027,1030,1042,1051,1059,1065,1073,1082,1091,1104,1107,1115,1127,1137,1139,1150,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,27,40,50,52,59,69,81,89,102,110,112,121,135,137,152,159,170,178,313,322,332,340,345,360,361,370,383,393,401,407,417,427,435,437,597,603,612,624,631,641,646,658,665,676,679,688,695,704,719,725,734,743,746,760,766,779,788,789,800,808,817,828,834,841,855,864,872,879,884,893,906,911,917,927,935,942,955,966,976,978,986,995,1006,1015,1020,1030,1038,1046,1054,1065,1074,1086,1090,1097,1107,1116,1123,1136,1142,1149,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,31,36,49,58,67,75,79,88,99,107,113,120,134,139,150,156,166,170,179,322,334,337,350,357,363,377,383,393,402,408,413,425,433,439,599,606,617,626,631,638,651,656,661,671,682,688,702,711,718,726,730,739,746,761,770,773,787,795,803,809,822,828,838,842,848,864,866,880,889,899,904,913,922,928,941,943,957,965,968,983,989,996,1009,1017,1024,1032,1038,1049,1057,1065,1072,1080,1090,1099,1109,1117,1125,1130,1147,1153,1162,1165	1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,19,26,35,45,51,67,73,80,89,95,106,118,127,128,138,146,158,162,176,317,322,331,338,348,357,363,370,381,390,395,411,412,427,433,444,600,607,613,625,628,640,650,658,660,671,682,688,702,705,716,723,730,741,746,756,770,771,787,795,800,807,822,826,833,843,850,863,874,876,883,896,904,914,920,927,935,950,951,962,968,984,985,1001,1002,1018,1022,1035,1043,1045,1059,1066,1078,1081,1088,1101,1108,1116,1124,1130,1140,1151,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,25,33,36,42,57,67,73,80,91,98,108,117,126,128,139,145,159,169,174,316,324,329,338,348,352,363,375,381,391,399,408,418,423,435,438,600,605,612,626,630,636,643,657,660,676,686,694,701,711,715,724,730,738,746,762,764,780,782,794,800,810,819,826,833,847,851,862,871,875,885,896,905,910,920,931,940,944,956,967,973,978,989,998,1008,1011,1027,1036,1038,1049,1061,1070,1077,1085,1088,1100,1107,1114,1125,1134,1140,1147,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,25,32,36,50,55,66,72,82,91,96,110,115,120,128,143,145,154,168,171,316,325,332,341,344,355,365,370,382,389,395,408,416,424,436,445,597,600,617,620,632,639,644,660,662,676,679,694,698,710,714,723,731,741,746,756,770,775,782,791,804,812,820,827,836,842,851,863,869,876,885,894,901,912,922,933,941,944,951,966,968,980,986,1000,1004,1013,1024,1031,1036,1051,1056,1067,1075,1084,1090,1101,1106,1114,1128,1130,1146,1150,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,29,39,50,54,65,74,81,86,98,104,114,123,133,141,147,162,164,171,316,322,333,343,346,353,365,375,380,390,398,411,419,428,436,444,466,606,617,625,632,637,649,656,665,672,685,693,696,710,713,724,731,737,749,757,771,779,780,792,803,811,816,824,837,845,851,859,869,882,883,892,904,909,917,933,934,944,957,966,970,979,986,996,1005,1014,1022,1031,1044,1051,1058,1065,1071,1083,1093,1099,1107,1114,1127,1138,1141,1154,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,25,27,42,45,56,66,69,81,89,94,108,116,122,134,137,150,155,165,171,314,322,332,340,346,354,368,374,378,391,401,405,416,421,435,438,455,605,617,623,635,638,647,658,662,672,685,689,699,705,716,722,732,741,750,759,764,778,782,794,799,810,819,830,834,841,855,862,870,878,888,896,901,915,921,927,940,950,953,965,970,982,986,1002,1008,1019,1027,1028,1038,1046,1060,1064,1073,1085,1088,1099,1113,1120,1123,1132,1146,1148,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,29,35,42,55,62,76,79,86,101,110,119,121,131,141,150,156,170,174,314,320,327,341,347,358,362,374,383,392,396,412,417,421,434,441,598,601,616,626,632,639,646,660,662,669,679,687,698,710,719,726,731,737,749,758,763,772,786,789,802,812,822,831,834,846,849,862,873,879,887,899,907,909,918,929,939,945,957,962,971,982,992,995,1009,1017,1026,1033,1044,1051,1061,1066,1077,1082,1093,1097,1111,1117,1125,1132,1142,1151,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,31,36,46,56,67,75,84,88,99,109,111,123,129,137,145,156,168,176,317,326,327,339,352,356,364,371,384,389,402,407,417,421,430,440,449,605,613,620,633,637,648,660,667,674,686,690,695,705,713,724,734,745,748,762,765,772,782,791,801,812,821,830,834,840,856,862,868,875,884,899,904,914,921,930,935,943,957,965,973,980,991,1001,1005,1012,1022,1030,1041,1045,1059,1070,1074,1087,1092,1102,1107,1115,1126,1134,1142,1153,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,25,30,35,49,58,60,73,84,92,95,107,118,125,133,140,153,154,164,175,313,320,331,341,349,357,368,373,380,389,403,411,418,427,432,444,598,602,615,619,634,640,650,652,666,673,684,688,702,710,712,722,734,738,749,760,765,779,783,794,803,810,822,827,837,848,856,858,872,880,891,898,903,916,922,928,938,942,957,961,974,976,986,996,1002,1016,1019,1032,1044,1048,1061,1070,1072,1084,1087,1102,1113,1117,1126,1134,1146,1155,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,29,35,44,52,61,75,82,86,96,109,111,125,131,144,153,154,168,174,315,321,328,342,344,357,368,372,383,387,401,404,413,421,431,443,599,606,613,622,630,641,647,658,666,674,682,692,698,709,717,720,735,741,752,756,769,775,782,791,799,807,818,827,832,840,854,861,870,879,886,897,907,913,916,930,934,944,958,961,974,983,989,995,1005,1014,1024,1029,1041,1047,1058,1062,1078,1083,1093,1099,1112,1117,1129,1138,1147,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,23,30,39,44,59,60,74,83,86,100,105,112,125,133,144,148,155,170,175,313,326,334,338,345,354,362,370,383,387,396,407,420,426,433,444,596,605,610,625,633,641,645,652,663,671,679,693,697,706,718,725,732,743,754,759,764,777,781,794,805,813,820,829,832,843,849,859,874,878,882,892,899,908,918,928,937,944,957,965,970,979,990,995,1005,1019,1027,1029,1039,1050,1057,1064,1071,1085,1089,1104,1111,1120,1122,1132,1146,1155,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,29,40,45,53,64,71,79,90,95,104,116,125,134,144,152,156,162,173,317,325,334,343,345,357,369,376,379,391,400,407,420,423,435,445,463,600,613,621,632,639,650,657,663,672,682,692,702,704,715,723,730,738,746,754,769,775,781,796,805,809,822,823,832,843,848,860,866,879,885,896,900,912,923,930,938,943,955,966,976,977,993,996,1002,1010,1027,1032,1038,1047,1055,1068,1077,1084,1094,1099,1109,1115,1128,1135,1142,1147,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,30,35,44,55,66,69,81,87,100,109,113,122,132,138,149,159,166,171,315,323,334,336,346,355,362,375,378,388,399,407,418,422,436,440,596,601,617,624,627,640,650,660,665,671,682,691,700,704,718,726,735,738,746,761,763,778,783,796,800,807,820,826,834,848,850,860,867,878,889,897,907,913,921,929,939,943,957,964,971,976,990,999,1009,1011,1025,1033,1043,1048,1057,1066,1075,1083,1091,1096,1110,1118,1130,1133,1145,1149,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,18,27,35,43,53,64,75,82,87,101,104,119,122,129,141,150,155,169,179,181,321,334,338,350,359,363,374,381,389,397,406,416,427,431,438,454,605,615,622,632,640,647,655,663,677,682,690,699,704,716,725,729,739,746,757,766,778,783,793,804,811,815,828,838,842,856,859,867,878,887,896,905,916,918,932,939,950,954,960,975,980,990,1001,1008,1014,1021,1032,1038,1048,1060,1070,1078,1085,1094,1097,1110,1114,1127,1131,1143,1152,1157,1167	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
4,9,21,25,40,47,58,66,69,82,88,100,107,113,122,134,138,151,159,165,179,189,325,333,336,344,353,362,369,379,394,402,409,415,421,431,440,597,602,614,618,632,637,648,658,663,672,680,692,698,708,715,728,730,742,752,758,771,774,781,795,804,811,820,827,835,846,856,865,870,876,883,892,900,914,919,925,938,943,959,965,974,979,987,1002,1003,1015,1024,1035,1039,1052,1060,1063,1071,1079,1093,1103,1113,1117,1122,1134,1141,1149,1161,1165	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,16,22,26,42,46,51,67,71,81,85,101,108,111,122,128,138,153,160,162,177,180,319,329,335,347,354,364,370,381,387,403,405,420,425,431,441,448,603,617,624,634,641,648,657,667,674,680,692,694,707,718,726,732,740,746,761,771,773,783,789,797,807,815,828,832,844,848,858,870,876,885,893,905,916,924,929,936,946,958,966,969,978,990,998,1003,1016,1023,1034,1040,1046,1060,1069,1078,1083,1090,1098,1104,1115,1128,1131,1146,1154,1158,1167	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,18,30,42,49,55,64,69,84,90,99,110,111,120,135,137,147,162,163,173,186,326,335,343,352,358,368,376,383,392,396,406,413,429,431,441,597,606,611,624,628,641,649,658,664,673,682,693,700,704,714,726,730,738,746,755,770,777,785,792,797,810,822,827,833,845,853,859,872,877,890,896,902,911,925,926,937,949,951,959,974,981,990,995,1009,1013,1025,1029,1040,1051,1055,1070,1077,1081,1094,1104,1106,1115,1129,1132,1147,1155,1163,1171,1174	0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,19,33,35,43,59,66,71,84,87,96,109,116,121,134,139,152,159,166,176,192,320,332,343,348,354,361,374,386,389,398,408,412,428,435,442,465,603,617,619,626,642,649,656,665,675,678,691,695,703,713,723,735,742,749,756,770,780,787,797,801,806,821,825,834,841,852,863,872,879,888,898,905,911,925,929,938,943,952,962,973,977,986,999,1005,1016,1024,1032,1044,1049,1057,1065,1072,1079,1087,1104,1105,1115,1124,1130,1144,1153,1164,1172,1177	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,21,29,34,48,51,63,72,81,89,99,103,117,124,132,139,146,162,165,171,183,326,329,338,351,359,368,373,381,391,400,404,418,423,430,437,599,603,610,619,628,642,645,654,665,674,684,687,700,706,719,726,736,737,750,754,763,779,781,789,802,806,819,830,834,843,856,862,867,878,888,899,901,911,920,932,935,946,952,963,973,979,985,1001,1002,1014,1026,1035,1040,1045,1055,1070,1076,1087,1090,1104,1110,1117,1129,1137,1145,1147,1156,1172,1177	0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,15,24,33,34,49,54,64,73,77,92,100,108,114,122,131,143,150,157,169,174,181,319,328,339,351,356,364,377,380,393,403,409,415,421,432,443,466,602,610,618,630,638,647,658,666,669,684,691,699,711,715,727,729,744,749,762,767,776,782,793,801,806,819,826,838,840,853,864,870,878,889,895,903,913,921,925,941,947,957,963,974,980,990,1001,1004,1014,1020,1034,1044,1047,1056,1068,1071,1085,1089,1098,1109,1117,1129,1135,1141,1149,1161,1171	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0
1,9,18,31,39,46,53,60,71,83,93,102,106,113,123,128,143,146,153,164,174,179,321,335,340,346,352,362,375,384,395,399,405,418,424,430,444,447,604,611,623,633,637,650,653,664,676,685,686,702,710,716,725,734,738,753,760,764,778,781,794,804,811,817,825,839,847,852,857,869,876,884,896,907,912,925,930,935,947,953,964,971,984,991,997,1003,1017,1024,1034,1043,1047,1057,1066,1070,1079,1090,1096,1111,1116,1128,1136,1140,1149,1160,1168,1175	0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,19,29,37,42,57,62,73,80,89,96,109,117,124,135,136,150,159,165,173,318,326,327,340,349,352,362,369,384,391,401,403,415,425,434,439,599,604,611,625,633,640,651,659,664,672,678,692,699,707,714,728,731,739,747,762,766,779,788,794,798,809,820,829,833,848,856,862,870,880,889,894,908,912,925,928,939,947,953,960,972,985,987,1000,1009,1011,1024,1029,1042,1045,1054,1065,1076,1079,1091,1100,1109,1118,1125,1131,1143,1155,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,17,22,31,36,49,52,60,72,85,89,98,106,116,126,129,145,146,158,168,177,186,326,330,338,350,354,364,371,384,392,396,411,418,425,431,441,447,604,613,624,634,641,643,656,664,671,677,686,702,707,713,720,736,739,753,761,771,774,786,794,798,809,815,826,837,847,850,857,867,881,887,894,902,908,917,933,938,948,954,959,975,976,987,994,1007,1018,1019,1029,1038,1050,1055,1067,1071,1080,1088,1096,1109,1113,1122,1137,1140,1153,1164,1165,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,20,32,36,47,52,61,69,78,92,99,104,115,128,131,139,152,162,167,174,183,323,327,342,346,357,362,370,382,387,399,403,416,422,433,438,596,606,617,625,633,641,649,654,666,669,680,693,702,710,712,724,736,739,749,760,770,779,783,793,802,812,819,823,839,840,851,862,869,881,887,891,904,915,919,926,940,950,951,967,971,981,989,996,1004,1011,1024,1029,1036,1052,1055,1068,1071,1081,1092,1098,1106,1113,1127,1132,1145,1153,1162,1172,1174	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
1,9,21,30,37,44,59,65,74,79,93,102,107,114,124,128,141,145,156,167,172,191,318,334,336,346,352,362,376,379,393,403,408,419,425,436,444,596,604,610,626,632,635,648,653,662,675,681,694,697,711,719,722,732,738,752,761,767,775,781,794,797,805,819,829,838,846,851,863,868,880,890,891,904,913,918,933,939,946,956,966,975,985,993,1000,1006,1013,1026,1036,1042,1052,1053,1069,1071,1081,1090,1101,1107,1116,1130,1135,1145,1152,1163,1164	1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,15,23,26,40,46,53,64,74,83,89,94,110,116,126,128,141,145,155,162,175,315,323,327,335,350,357,368,374,382,390,403,404,418,425,431,445,470,603,611,623,631,636,646,657,661,675,678,686,703,708,719,724,730,739,749,757,768,776,786,788,799,810,820,823,835,841,852,862,872,881,888,891,901,914,917,928,938,944,951,962,969,982,990,999,1004,1015,1019,1036,1043,1052,1056,1068,1078,1086,1095,1097,1109,1115,1126,1131,1140,1151,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,11,20,29,35,47,54,60,71,84,86,96,107,117,120,131,144,147,161,169,174,189,323,334,340,346,354,368,373,378,393,400,406,412,428,433,443,450,601,610,621,626,643,645,655,667,674,681,687,697,704,715,727,734,745,749,755,769,778,788,791,804,811,820,826,840,845,848,864,869,875,887,899,901,910,917,930,933,948,952,961,970,982,988,1001,1008,1014,1025,1034,1038,1050,1053,1068,1070,1079,1094,1101,1111,1114,1122,1133,1145,1149,1161,1170,1178	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,23,27,39,44,57,61,69,77,85,101,107,114,123,128,143,145,159,167,176,181,322,331,342,345,355,364,374,380,394,399,404,418,423,437,438,600,603,611,618,628,642,647,655,668,669,680,694,701,707,714,725,735,743,752,762,767,777,786,793,802,807,817,824,835,847,857,863,872,874,889,898,904,914,924,929,934,945,954,963,971,981,985,994,1004,1017,1021,1028,1044,1045,1059,1067,1076,1085,1090,1096,1105,1119,1130,1132,1142,1148,1162,1170,1174	1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,25,30,42,43,58,62,68,83,87,100,110,118,127,134,138,146,156,164,174,317,321,330,341,346,352,362,376,383,393,400,407,413,425,429,445,599,607,610,623,630,641,647,660,669,676,679,690,702,703,716,722,731,739,748,760,771,777,787,792,803,806,822,827,835,846,852,861,866,875,886,894,904,910,923,930,938,946,951,965,969,976,985,997,1006,1011,1020,1035,1038,1051,1055,1062,1074,1086,1090,1101,1110,1114,1124,1138,1143,1152,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,25,26,40,48,55,65,68,81,88,98,110,112,119,133,140,148,154,165,176,317,322,329,336,350,360,368,375,385,389,401,407,419,422,435,442,598,609,611,623,634,641,649,656,660,670,678,688,700,709,717,724,729,745,752,760,770,773,786,790,804,806,820,830,838,846,855,865,870,881,887,892,907,910,921,931,938,950,955,960,976,978,989,995,1010,1016,1026,1034,1042,1047,1055,1068,1079,1084,1096,1100,1109,1115,1126,1134,1143,1147,1161,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,30,34,44,59,65,68,78,91,95,104,117,126,134,138,148,158,165,172,315,319,332,336,344,360,364,372,382,389,401,406,418,421,434,443,470,603,614,619,633,642,646,659,666,675,683,689,702,711,717,727,735,743,753,758,769,775,786,793,804,809,816,830,832,846,851,862,873,880,884,897,903,914,917,926,937,946,956,963,975,978,993,995,1010,1016,1026,1030,1040,1052,1058,1063,1075,1083,1090,1101,1106,1121,1130,1138,1140,1152,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,32,41,48,57,67,75,83,93,96,109,116,120,133,143,149,160,163,170,315,318,335,337,347,354,363,377,382,390,398,405,419,429,436,442,600,606,615,624,629,637,648,652,664,674,679,689,702,708,715,720,730,741,751,760,766,773,783,789,804,812,814,824,837,842,855,861,868,876,887,896,904,912,917,930,940,944,952,963,973,978,986,996,1009,1015,1025,1029,1038,1050,1054,1067,1074,1087,1090,1103,1104,1115,1124,1131,1147,1152,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,17,21,26,34,44,54,61,71,84,89,96,109,117,123,128,141,150,157,168,174,313,323,327,340,350,359,368,373,386,392,398,411,414,423,429,441,598,604,609,624,629,641,648,659,667,673,683,689,701,706,717,726,732,737,746,757,765,772,787,793,800,809,819,826,832,844,849,859,866,877,887,899,907,915,923,933,939,947,954,966,972,982,985,997,1003,1016,1021,1035,1041,1049,1061,1062,1072,1082,1093,1096,1105,1118,1127,1135,1139,1149,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,26,34,48,51,66,70,84,86,98,108,113,122,129,139,145,156,169,179,315,323,328,341,348,352,361,377,379,388,397,403,418,422,434,443,600,608,609,626,632,635,643,652,666,670,679,693,698,705,715,727,737,739,747,759,767,774,781,790,798,811,818,829,835,845,852,865,868,878,889,893,906,911,925,933,941,948,955,962,970,982,985,997,1008,1016,1022,1034,1040,1052,1059,1068,1078,1087,1091,1103,1110,1115,1128,1135,1142,1155,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,18,28,41,47,51,62,71,83,86,98,105,117,120,133,139,145,154,163,173,315,320,335,338,350,360,367,371,379,389,399,407,413,425,432,437,465,601,610,618,628,639,647,654,667,670,679,687,696,704,714,721,735,737,751,757,765,780,786,790,800,813,817,826,832,848,854,865,866,880,891,897,900,915,917,932,935,949,955,966,971,979,988,1000,1009,1012,1025,1036,1037,1046,1059,1067,1078,1079,1096,1103,1108,1120,1128,1133,1144,1151,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,26,36,45,58,60,75,80,90,94,105,111,126,136,137,146,155,169,179,313,318,333,339,352,354,369,370,383,391,403,404,414,422,432,444,460,603,612,620,626,636,647,657,663,677,686,688,697,710,712,721,733,745,746,758,767,773,784,796,798,813,819,830,834,842,855,864,871,878,887,898,902,912,921,931,940,944,953,962,971,982,988,998,1008,1017,1024,1028,1044,1048,1060,1065,1074,1079,1093,1104,1111,1117,1129,1136,1141,1153,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,32,41,47,51,68,69,79,86,100,103,115,122,131,138,151,161,170,175,182,322,332,343,351,355,364,377,386,390,403,408,417,428,431,441,596,602,610,618,628,642,645,659,664,677,679,693,698,710,716,722,736,741,749,757,764,774,782,794,800,809,818,828,834,843,853,861,866,882,885,896,903,910,921,931,940,942,953,964,976,982,990,996,1006,1017,1020,1031,1040,1047,1057,1068,1076,1080,1093,1102,1112,1119,1129,1137,1140,1149,1161,1165,1175	0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,10,25,32,34,43,59,66,74,80,88,97,109,113,123,129,142,151,154,168,172,315,326,333,342,350,354,369,375,384,389,400,408,412,425,437,443,597,605,610,620,629,639,645,655,668,670,679,687,695,709,714,726,734,738,747,759,769,776,784,791,801,808,818,826,833,844,856,862,873,876,891,899,906,911,917,930,940,950,955,959,971,984,986,994,1009,1019,1027,1031,1040,1052,1054,1065,1078,1082,1092,1102,1105,1116,1123,1136,1140,1152,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,30,42,45,57,65,76,78,91,98,107,118,119,133,142,148,160,167,176,313,318,327,341,350,360,367,373,378,392,400,408,416,425,433,445,596,602,610,621,634,637,649,660,661,672,681,693,703,706,718,724,731,740,749,760,763,775,784,791,803,806,821,826,834,844,855,861,867,878,887,897,906,915,921,929,935,946,952,967,972,985,988,998,1002,1017,1021,1031,1039,1052,1053,1066,1073,1086,1096,1097,1108,1120,1125,1133,1139,1150,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,29,40,47,56,67,75,84,93,99,105,117,122,129,141,146,162,164,176,313,322,328,340,345,357,368,376,380,389,396,406,412,423,431,442,449,603,614,620,628,639,649,658,668,676,682,690,695,711,715,726,729,745,750,757,769,777,783,793,803,808,822,823,834,846,850,860,869,875,888,894,905,914,918,931,935,950,951,960,974,983,993,1001,1009,1011,1025,1033,1041,1053,1054,1069,1075,1086,1091,1099,1112,1117,1127,1134,1143,1151,1164,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,19,33,41,48,51,60,73,81,88,98,107,111,121,133,143,146,161,163,172,314,323,330,336,348,359,366,370,382,386,402,411,412,421,434,441,598,604,616,619,629,637,644,659,668,677,681,687,699,708,716,724,730,745,746,758,765,776,787,796,802,812,815,831,838,845,852,860,869,874,889,893,904,912,920,931,937,949,953,967,970,978,992,997,1005,1018,1019,1036,1040,1047,1059,1067,1075,1087,1088,1098,1108,1118,1128,1131,1146,1150,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,19,27,37,43,53,66,71,85,86,99,109,114,123,130,138,149,161,164,171,180,320,328,343,348,360,362,374,378,389,398,411,413,423,430,441,598,604,615,622,630,641,645,653,664,672,684,687,696,704,715,724,732,742,754,756,766,777,781,791,799,811,820,831,835,846,852,865,866,880,884,899,906,915,923,933,940,949,955,961,971,984,988,999,1008,1017,1024,1028,1040,1047,1055,1066,1074,1085,1095,1103,1111,1115,1126,1134,1147,1154,1161,1164	0,0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,22,32,35,45,58,67,68,76,88,95,110,114,126,134,144,148,160,170,177,313,318,327,336,349,356,361,375,381,389,397,407,417,424,431,439,596,609,617,624,630,636,652,658,665,677,680,689,700,710,715,727,737,740,751,760,766,776,783,797,802,810,815,829,834,848,852,859,871,874,889,896,905,915,920,925,938,943,959,960,968,980,992,998,1009,1014,1020,1035,1042,1051,1061,1070,1072,1086,1094,1096,1108,1120,1127,1132,1142,1153,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,30,37,47,59,62,69,78,93,100,108,117,122,130,143,146,158,166,178,315,321,329,343,346,355,366,377,384,387,397,408,413,422,433,440,597,605,609,622,630,637,645,652,666,671,680,692,698,710,714,726,736,739,750,756,769,775,783,793,798,812,821,824,836,847,851,863,871,878,889,897,908,911,921,928,934,948,958,967,970,984,993,997,1008,1018,1023,1034,1040,1047,1058,1065,1078,1082,1095,1098,1112,1115,1129,1138,1140,1152,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,25,27,36,47,57,62,70,79,92,102,110,114,121,133,140,153,158,169,172,317,325,329,342,348,360,367,373,382,388,395,406,415,422,429,439,600,607,615,619,632,636,649,655,667,676,684,690,699,710,719,722,737,741,753,760,768,777,780,790,803,811,822,824,839,842,856,859,871,882,885,892,905,915,925,928,941,948,958,961,975,982,990,1000,1008,1014,1027,1030,1040,1048,1061,1065,1076,1082,1094,1097,1104,1116,1127,1136,1142,1154,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,25,36,50,59,64,71,81,85,97,108,115,126,136,144,152,154,165,174,317,322,329,341,344,360,365,375,384,394,402,405,418,421,434,442,598,607,613,625,632,643,647,659,661,677,684,694,697,704,713,725,734,740,751,759,767,779,785,791,805,808,819,828,836,848,850,860,871,877,889,896,902,910,924,927,934,944,955,963,974,977,990,999,1010,1011,1023,1029,1038,1050,1060,1068,1076,1080,1090,1099,1107,1119,1129,1136,1142,1148,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,25,31,39,44,53,66,70,77,91,94,106,112,122,135,143,149,161,163,178,313,318,330,339,348,360,369,376,381,388,403,404,415,429,436,440,460,603,617,622,628,635,647,655,666,674,681,687,702,703,714,725,735,741,748,760,764,777,781,797,803,813,821,824,834,847,852,859,869,879,887,896,900,910,920,929,938,945,953,966,968,979,992,1000,1010,1014,1019,1028,1039,1052,1056,1070,1076,1080,1095,1096,1106,1116,1123,1135,1142,1148,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,25,32,42,49,51,60,69,78,87,95,106,114,125,132,138,150,158,163,177,317,320,331,337,345,353,364,374,384,386,401,408,415,426,432,443,600,604,617,624,631,635,650,653,661,669,683,692,696,709,712,723,735,739,749,759,766,778,784,788,800,811,821,824,839,842,849,863,867,874,886,895,904,909,923,930,936,949,957,966,968,978,992,999,1004,1010,1020,1036,1041,1052,1058,1064,1072,1084,1091,1099,1106,1120,1129,1134,1141,1155,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,17,29,40,49,58,65,69,82,93,96,103,112,127,128,145,146,155,167,174,313,324,333,340,345,355,368,375,385,390,403,410,420,425,435,441,597,603,615,624,630,643,649,657,663,674,684,689,702,709,717,721,731,739,746,762,766,776,784,794,800,808,817,824,837,843,851,861,866,879,883,896,905,911,920,927,938,945,955,961,971,979,991,997,1002,1011,1026,1029,1040,1051,1058,1067,1072,1081,1095,1100,1105,1114,1124,1131,1144,1152,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,27,34,44,58,59,75,82,87,97,110,114,122,128,140,149,158,168,175,313,326,330,343,350,354,365,377,379,390,396,409,418,424,435,438,462,602,615,620,629,638,651,654,664,671,685,687,697,710,712,722,737,742,747,759,764,775,788,792,802,809,820,828,837,845,854,862,870,877,883,892,905,912,923,929,934,945,951,964,969,980,988,995,1010,1016,1024,1028,1037,1045,1059,1066,1076,1085,1089,1096,1106,1118,1125,1132,1139,1147,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,32,39,44,59,67,68,77,93,101,109,112,122,136,139,153,154,165,174,318,324,331,335,348,359,365,374,382,392,403,411,416,428,431,443,469,609,614,623,631,635,644,656,664,670,682,689,702,711,712,723,729,742,753,759,767,777,782,792,798,808,822,823,834,843,856,862,866,879,885,898,903,912,918,926,938,946,953,964,973,982,986,1000,1009,1016,1021,1034,1038,1050,1059,1066,1073,1083,1090,1096,1109,1114,1129,1132,1143,1149,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,31,36,44,56,59,73,82,93,96,105,119,125,128,137,147,158,163,174,316,323,334,340,345,353,361,375,380,391,396,407,412,422,437,439,449,604,613,619,629,639,643,658,664,671,681,687,700,705,714,726,737,743,746,760,767,775,782,791,800,814,818,828,834,848,853,863,873,879,885,897,906,909,924,925,941,950,953,962,974,985,988,997,1005,1013,1023,1031,1040,1047,1061,1062,1072,1084,1094,1103,1108,1118,1123,1131,1140,1155,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,32,42,49,54,60,73,80,92,94,107,115,123,130,142,146,161,170,172,315,325,329,338,352,360,366,372,380,389,400,412,418,426,431,445,467,605,616,619,629,643,650,655,662,672,683,688,699,708,719,723,730,743,753,757,764,771,783,793,801,810,817,827,834,848,853,862,867,880,887,896,903,916,924,930,938,942,957,964,969,980,991,999,1004,1014,1022,1029,1039,1053,1054,1065,1076,1085,1087,1100,1105,1115,1124,1138,1141,1150,1162,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,20,31,39,44,55,67,69,84,90,95,103,116,125,129,136,151,160,165,174,314,324,326,340,348,357,361,374,381,392,395,412,415,420,437,439,597,601,614,623,629,642,644,657,664,676,681,689,702,704,712,726,732,744,754,762,771,778,785,791,798,807,817,830,831,847,854,863,867,880,884,891,906,913,918,927,935,942,951,960,976,978,988,998,1008,1010,1024,1029,1043,1045,1061,1069,1077,1086,1095,1096,1107,1121,1124,1137,1144,1153,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,24,30,36,43,51,66,68,85,86,100,110,114,128,131,138,148,158,169,176,184,322,333,341,344,352,361,377,386,394,401,404,414,422,433,443,468,604,617,623,629,641,645,660,665,674,683,688,703,707,719,720,729,740,750,761,764,776,784,791,803,813,817,825,834,844,851,861,868,877,891,894,903,916,923,930,938,944,958,964,968,979,987,998,1002,1015,1020,1033,1043,1049,1059,1063,1072,1085,1094,1100,1108,1114,1124,1133,1140,1154,1162,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,21,30,37,45,52,66,72,84,85,101,110,118,127,132,144,153,155,162,170,189,320,331,342,348,358,363,374,380,388,395,410,415,429,437,445,468,606,611,624,632,638,647,657,667,673,683,689,700,703,717,724,729,742,750,759,764,776,783,794,798,811,821,825,832,843,852,862,872,874,887,893,906,914,919,932,935,944,953,965,969,984,989,995,1004,1011,1027,1035,1036,1053,1059,1062,1077,1079,1093,1100,1106,1120,1123,1134,1145,1151,1161,1165	0,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
3,9,22,26,37,48,57,63,72,80,89,96,103,119,125,128,137,149,160,169,176,179,320,327,336,348,354,366,376,381,394,396,411,418,421,433,439,468,604,615,618,627,639,647,652,667,674,680,688,702,710,717,723,734,741,751,758,770,778,786,797,798,809,816,831,838,845,854,864,871,876,884,893,904,909,919,929,934,947,957,967,976,984,989,998,1008,1016,1022,1035,1036,1048,1057,1063,1072,1085,1088,1101,1112,1116,1129,1130,1147,1150,1156,1172,1178	1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,22,27,40,43,52,66,75,83,91,99,107,112,125,129,142,149,160,165,174,182,322,328,339,345,353,363,372,381,387,402,404,416,424,430,442,468,601,612,620,629,640,645,656,665,675,680,691,699,704,715,725,735,739,749,755,769,780,786,795,797,811,822,830,836,843,853,859,871,876,887,898,906,912,921,925,940,949,957,966,973,980,993,997,1005,1010,1019,1030,1036,1049,1061,1065,1074,1085,1094,1100,1112,1113,1125,1130,1143,1147,1163,1170,1174	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,11,19,29,36,50,57,64,75,79,92,97,105,115,124,135,145,152,154,166,171,186,324,333,342,350,359,369,373,383,390,402,407,416,424,437,440,600,604,614,620,628,637,647,652,664,671,685,693,701,708,715,727,731,745,750,757,764,780,788,793,797,805,821,829,839,842,850,858,871,874,889,894,906,910,924,928,938,950,958,965,976,979,991,994,1003,1011,1026,1034,1038,1052,1053,1070,1073,1079,1095,1097,1113,1118,1127,1130,1141,1151,1156,1166	1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,17,27,37,48,56,61,70,84,86,100,109,115,126,131,140,147,160,163,177,196,321,334,339,349,358,362,371,385,394,396,405,419,426,435,445,598,604,616,622,630,643,644,654,667,676,684,691,698,711,717,724,737,738,751,754,763,779,785,793,802,812,818,824,837,844,854,857,868,875,884,899,903,909,917,931,934,943,954,964,973,983,991,1000,1008,1019,1027,1034,1044,1048,1054,1066,1079,1086,1091,1098,1110,1113,1128,1132,1140,1152,1162,1171,1178	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,19,27,40,49,56,60,68,83,91,96,107,116,123,131,144,152,159,167,173,183,322,334,341,348,354,363,370,382,390,400,406,417,423,437,444,459,601,611,619,626,638,651,655,664,672,680,690,699,705,715,727,732,745,753,761,769,775,788,795,801,806,820,823,838,840,849,858,873,880,883,898,903,910,924,933,934,949,957,967,969,981,993,999,1005,1012,1027,1033,1039,1049,1060,1064,1074,1079,1088,1101,1108,1121,1128,1135,1144,1148,1163,1165,1174	0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,19,31,40,44,52,66,73,82,87,93,105,117,123,132,142,146,155,164,178,180,323,330,340,349,356,368,377,380,394,402,406,412,421,434,442,465,601,609,622,627,637,650,655,668,675,685,686,696,708,713,726,733,740,748,758,767,777,781,790,801,807,820,828,833,847,849,863,871,876,882,895,906,912,925,927,934,946,958,959,969,977,991,995,1002,1012,1022,1031,1044,1045,1062,1064,1071,1082,1091,1100,1106,1115,1125,1138,1145,1148,1159,1167,1175	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,24,32,39,45,59,60,74,80,89,98,109,118,127,130,138,145,154,163,174,318,320,333,342,350,357,363,375,384,392,397,406,419,428,432,442,466,605,616,624,629,638,651,654,662,675,685,691,700,703,719,727,733,739,748,759,770,774,783,789,803,812,819,831,834,846,848,859,869,876,886,897,902,914,919,928,934,947,953,959,970,983,990,1000,1009,1016,1019,1035,1044,1050,1060,1068,1077,1087,1094,1100,1105,1117,1128,1133,1145,1155,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,31,39,50,58,62,76,84,93,98,109,115,122,128,143,145,159,166,177,179,320,333,339,345,356,365,374,385,391,396,408,420,421,431,438,470,604,616,619,630,635,647,658,664,674,682,688,698,710,714,726,734,738,747,760,770,779,786,793,797,807,817,827,833,843,853,863,869,881,889,898,900,913,919,927,935,948,959,960,969,978,987,996,1005,1011,1019,1032,1042,1053,1060,1063,1076,1081,1092,1100,1107,1115,1125,1133,1141,1152,1158,1165,1175	0,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,17,33,40,47,55,66,70,81,93,94,110,111,123,128,141,153,155,163,173,182,322,327,342,352,356,366,374,382,393,399,405,414,428,434,439,598,609,612,624,626,638,649,656,662,676,679,688,698,706,719,724,733,743,746,762,766,778,787,791,799,814,815,831,834,846,848,864,871,874,883,893,905,908,923,928,936,943,951,960,973,984,986,995,1007,1017,1026,1032,1041,1053,1061,1063,1076,1084,1091,1104,1107,1121,1127,1137,1143,1153,1163,1165,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0
1,16,17,31,34,47,59,60,72,78,93,98,108,117,122,132,144,147,157,162,176,193,324,326,339,345,355,364,371,378,390,397,409,418,425,430,442,597,602,615,621,630,640,649,655,664,677,680,690,702,709,717,723,730,745,746,757,764,772,786,795,804,813,817,823,832,840,853,861,870,879,883,895,902,913,917,929,937,947,956,959,975,978,986,998,1005,1014,1027,1033,1042,1049,1056,1064,1077,1083,1089,1098,1109,1115,1125,1132,1141,1148,1157,1170,1175	0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,17,22,25,36,45,52,64,75,81,92,101,105,114,127,128,141,145,161,168,178,180,324,334,342,349,358,361,373,380,393,403,411,416,425,432,440,599,601,612,624,632,642,647,660,661,673,685,691,699,707,719,727,730,741,746,762,768,775,786,792,800,808,816,830,832,845,850,861,865,879,887,895,900,908,922,926,941,947,952,961,971,980,987,994,1005,1018,1022,1035,1043,1047,1056,1064,1074,1081,1087,1104,1112,1116,1129,1137,1145,1153,1159,1170	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,17,26,37,49,56,67,69,81,93,101,109,118,122,136,142,147,154,169,174,189,319,334,343,350,354,364,372,385,388,398,412,414,429,433,442,600,608,614,624,631,640,649,655,664,673,682,686,694,709,711,723,732,741,748,762,763,776,782,792,797,807,817,824,837,845,855,858,867,881,883,892,908,916,922,927,938,945,952,966,970,978,990,997,1002,1017,1027,1031,1040,1053,1060,1065,1071,1082,1090,1104,1108,1121,1124,1138,1139,1149,1159,1169,1175	0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,25,30,34,46,59,63,70,83,93,99,103,116,125,136,140,150,156,165,174,184,324,334,342,351,353,368,375,379,388,401,405,417,424,429,439,461,603,616,622,632,636,651,655,668,670,678,687,703,704,713,726,733,742,746,761,770,779,784,791,800,810,820,829,838,848,853,860,870,878,886,899,905,911,917,928,940,950,954,967,971,983,985,993,1006,1012,1026,1031,1037,1047,1059,1062,1071,1081,1094,1096,1110,1114,1126,1131,1146,1150,1158,1168	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,22,33,34,44,55,63,70,77,91,96,105,113,123,132,138,152,156,168,172,316,323,328,343,348,355,366,371,380,391,403,406,413,422,433,439,598,601,612,618,633,638,650,656,662,674,684,686,695,706,713,728,731,738,753,758,766,773,785,796,798,812,819,825,832,846,854,863,869,878,890,899,904,913,922,931,939,946,955,960,971,982,990,999,1009,1014,1023,1029,1044,1050,1055,1068,1078,1087,1088,1096,1108,1120,1125,1137,1139,1149,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,26,38,48,56,68,71,77,88,94,110,116,121,129,144,152,155,169,175,316,319,334,343,348,356,368,370,382,388,398,407,418,422,434,444,599,608,612,625,626,637,645,657,660,670,686,691,699,710,715,724,731,744,753,759,768,773,786,796,800,814,815,827,834,845,852,857,871,879,884,894,905,916,919,926,941,946,956,963,973,983,986,999,1008,1010,1025,1028,1043,1050,1061,1069,1072,1083,1095,1099,1112,1119,1122,1136,1141,1152,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,21,28,37,43,58,64,70,77,89,99,109,115,125,134,144,148,158,162,173,317,326,329,342,343,360,365,375,383,386,402,408,418,427,433,438,460,608,616,619,634,642,644,655,665,676,680,694,701,704,719,727,734,743,749,757,766,774,782,796,798,808,816,827,838,847,849,857,870,878,886,893,903,914,924,931,940,946,952,964,975,984,987,995,1003,1014,1024,1033,1043,1046,1057,1065,1073,1081,1091,1097,1112,1119,1121,1134,1145,1147,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,27,41,48,58,61,70,77,89,95,102,111,119,130,138,150,161,165,177,315,318,329,342,346,354,362,370,384,394,402,405,414,423,436,438,470,606,614,620,627,638,646,657,668,675,683,687,695,706,712,720,729,738,752,760,764,775,785,791,798,810,822,823,838,848,849,864,870,880,888,893,906,915,920,931,934,947,958,960,973,980,988,999,1008,1011,1023,1028,1042,1046,1059,1065,1078,1080,1093,1098,1105,1118,1122,1138,1140,1151,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,17,30,39,50,51,64,72,78,89,97,105,111,127,132,140,146,162,166,178,316,324,327,341,346,357,366,369,381,393,399,411,417,425,436,446,459,604,617,621,632,640,649,652,661,669,678,691,697,709,712,721,733,740,750,757,764,780,787,793,803,809,822,830,833,840,851,860,871,874,884,897,902,908,924,930,941,950,957,966,975,978,987,997,1008,1013,1019,1029,1041,1047,1058,1064,1073,1083,1096,1097,1106,1118,1121,1138,1145,1153,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,26,34,47,57,60,76,77,92,99,110,112,125,128,140,150,154,167,173,313,324,334,341,349,353,361,371,379,393,396,407,420,425,432,440,598,608,609,624,633,643,649,653,665,670,680,690,701,706,718,723,732,745,746,759,770,771,785,791,803,808,818,824,835,840,855,863,867,875,885,896,901,911,923,929,941,945,952,967,974,980,991,996,1005,1013,1027,1030,1040,1050,1057,1066,1076,1081,1095,1100,1109,1113,1123,1137,1146,1155,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,31,37,47,56,64,75,83,90,101,108,111,125,128,143,150,162,165,177,313,326,334,336,350,357,361,372,381,388,398,404,419,425,430,444,468,601,616,619,632,636,645,652,668,673,678,689,698,709,714,726,736,739,753,758,768,775,783,791,803,810,816,828,832,840,852,862,872,881,887,893,900,911,921,926,939,944,951,965,969,978,992,999,1008,1012,1021,1033,1040,1051,1059,1066,1071,1084,1094,1096,1108,1114,1124,1138,1146,1148,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,21,33,36,48,52,63,74,78,86,98,107,114,122,135,142,151,160,166,173,316,324,330,338,346,355,361,370,385,391,396,403,417,424,433,444,599,609,617,620,634,642,645,657,667,669,684,693,701,708,716,728,730,740,751,759,770,771,786,796,803,811,822,828,833,848,850,859,870,878,885,892,906,914,917,928,938,945,957,967,971,984,993,995,1006,1013,1019,1030,1043,1049,1053,1068,1072,1083,1088,1099,1108,1121,1126,1135,1139,1155,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,24,28,41,48,53,66,68,81,92,97,103,115,126,128,139,145,162,165,171,183,319,329,342,346,354,367,370,378,389,400,410,418,426,435,439,468,600,616,622,630,635,647,654,665,674,681,693,697,708,714,726,731,740,752,757,763,773,782,790,799,810,817,826,833,841,856,858,866,881,883,893,908,915,923,931,942,944,956,960,974,981,993,1002,1005,1014,1022,1031,1036,1048,1055,1062,1077,1083,1090,1097,1112,1116,1125,1136,1141,1150,1157,1165,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,14,21,26,41,49,52,62,73,77,90,99,105,118,120,128,139,146,154,166,172,317,324,329,343,349,360,369,376,381,394,403,407,415,427,437,438,447,607,609,624,631,643,645,654,664,676,683,691,703,705,720,725,735,740,751,758,768,779,785,792,803,814,815,831,838,843,855,857,872,874,883,893,907,908,920,925,937,950,956,965,968,979,987,1000,1007,1018,1024,1029,1041,1050,1054,1070,1073,1087,1089,1100,1106,1114,1128,1133,1146,1148,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,31,40,47,52,64,73,77,90,95,110,111,127,129,140,153,161,164,175,314,321,334,342,344,352,367,371,378,388,397,406,415,427,434,441,471,602,611,624,630,638,652,658,668,676,685,688,697,708,713,726,737,744,751,763,764,774,784,795,801,807,821,826,835,840,856,860,872,878,884,895,904,909,921,927,937,942,951,966,971,983,988,1001,1007,1019,1025,1030,1042,1052,1060,1065,1076,1081,1087,1097,1106,1121,1122,1133,1140,1154,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,29,39,46,56,65,72,80,92,98,104,119,120,131,136,152,157,168,172,314,324,329,340,350,360,365,376,378,387,398,406,416,428,431,441,451,605,610,623,631,639,645,658,663,675,685,691,695,706,714,722,737,739,753,763,767,771,786,794,800,806,814,829,838,847,855,859,866,880,889,894,906,916,925,927,940,948,958,961,971,979,990,996,1007,1019,1024,1034,1037,1047,1060,1062,1071,1081,1088,1101,1108,1117,1129,1133,1143,1149,1162,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,32,37,46,54,67,68,84,89,96,107,115,126,136,145,146,157,166,172,317,322,332,336,345,356,362,371,386,392,396,408,412,428,429,442,460,602,610,619,627,635,644,654,665,677,681,693,696,707,716,722,736,744,746,762,764,779,783,795,804,811,818,825,840,848,849,864,868,874,883,898,907,910,921,931,938,943,953,966,968,983,992,1001,1002,1011,1019,1034,1042,1051,1054,1070,1074,1086,1089,1096,1105,1119,1128,1134,1146,1152,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,28,38,45,56,64,72,84,87,102,107,115,124,134,136,150,156,164,179,185,320,330,337,348,357,364,370,384,389,402,410,417,426,431,438,596,601,617,625,628,642,651,655,665,671,679,689,700,704,715,726,730,742,748,761,765,775,785,790,804,809,822,831,838,844,855,863,866,879,889,892,905,908,922,930,938,947,957,962,970,985,988,1001,1004,1014,1024,1032,1043,1045,1059,1069,1072,1085,1095,1096,1109,1119,1129,1137,1140,1152,1157,1167,1177	1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
4,12,19,30,35,44,51,62,70,81,92,101,109,119,122,130,137,147,157,169,172,317,320,331,343,352,355,362,371,385,392,397,406,417,428,436,442,597,606,611,625,634,640,651,659,661,676,679,687,696,706,719,722,734,739,749,758,770,772,787,789,798,814,817,830,837,840,854,860,873,879,884,894,906,909,923,933,940,945,959,962,971,980,988,995,1006,1014,1023,1028,1036,1045,1053,1063,1074,1087,1093,1098,1111,1120,1124,1137,1141,1149,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,25,28,38,46,58,64,69,84,93,101,110,118,126,129,143,148,156,163,174,313,321,329,343,350,358,361,370,386,394,398,408,416,421,430,442,448,603,612,625,631,643,651,659,663,676,679,689,700,704,717,723,735,745,753,756,771,772,782,792,798,807,815,828,836,845,849,859,872,881,883,892,900,915,916,931,935,944,953,967,976,978,987,1000,1007,1016,1025,1033,1044,1047,1054,1068,1073,1079,1090,1096,1105,1118,1126,1134,1140,1155,1163,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,24,28,41,47,56,67,68,82,86,100,103,113,127,133,137,146,156,169,175,316,324,328,339,351,360,364,376,380,391,400,410,413,425,433,442,600,609,614,626,631,636,651,658,667,670,683,687,697,706,716,723,736,737,754,756,763,778,785,789,800,806,817,825,831,845,857,860,869,878,890,892,902,915,925,929,935,942,959,966,972,980,985,996,1007,1017,1025,1032,1040,1052,1057,1064,1071,1080,1089,1097,1112,1121,1127,1132,1143,1150,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,25,34,45,57,63,69,83,86,99,109,111,121,134,140,151,159,164,176,317,321,332,336,351,354,364,376,384,388,399,409,417,422,436,439,465,607,616,619,628,635,649,657,665,674,684,689,699,708,717,727,729,745,750,762,768,779,785,788,799,811,821,826,832,840,856,865,871,875,890,896,907,916,921,927,934,949,953,966,971,980,986,995,1004,1017,1020,1028,1037,1048,1058,1069,1070,1079,1090,1104,1111,1115,1126,1131,1141,1152,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,25,26,35,50,53,61,76,79,90,97,103,119,126,128,142,148,155,167,174,313,319,328,343,346,353,365,371,382,393,401,408,419,424,431,438,460,603,611,619,631,642,644,659,666,676,684,693,699,709,716,725,733,742,751,762,769,772,780,792,801,807,819,831,837,847,854,863,869,876,887,897,906,913,925,926,942,943,957,966,970,982,986,998,1004,1018,1023,1028,1042,1053,1054,1067,1077,1079,1094,1103,1112,1117,1130,1133,1146,1151,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,31,41,46,52,60,70,81,90,100,104,111,122,128,138,145,159,165,176,317,324,333,343,349,355,366,370,385,389,395,406,419,426,429,445,448,608,612,625,631,638,649,658,666,669,678,690,698,707,716,724,736,745,747,762,764,776,784,789,802,809,822,828,834,847,852,859,865,879,891,894,905,910,921,926,940,950,951,965,971,981,987,999,1009,1016,1020,1033,1039,1046,1061,1067,1077,1084,1090,1097,1108,1119,1124,1131,1144,1154,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,25,37,47,58,67,69,78,85,98,105,111,123,129,144,149,160,166,175,313,325,331,340,347,355,366,373,380,389,399,410,420,426,433,440,597,602,617,624,626,635,648,656,665,677,683,690,700,706,714,721,732,745,747,757,768,777,782,791,799,813,819,827,838,847,848,860,870,879,886,892,900,908,922,931,941,945,955,966,972,983,993,996,1009,1012,1025,1031,1038,1053,1057,1067,1074,1086,1095,1099,1106,1121,1127,1137,1143,1149,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,18,26,36,43,53,60,76,85,87,98,105,115,121,134,144,150,159,166,172,315,321,329,336,348,357,368,376,379,388,395,411,413,426,436,443,462,605,615,622,626,642,650,660,664,673,685,690,702,710,718,725,736,738,747,759,769,772,782,790,799,812,818,827,832,842,854,857,872,877,883,894,902,909,924,926,937,949,958,966,976,977,988,999,1009,1014,1025,1031,1039,1049,1058,1065,1075,1086,1092,1099,1113,1118,1123,1133,1140,1150,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,28,36,49,57,62,72,82,90,100,105,116,124,134,140,150,156,169,175,315,322,334,341,346,354,361,375,381,389,402,406,412,426,433,439,598,606,611,625,628,640,649,653,663,669,682,688,699,708,717,724,735,745,746,758,771,778,786,794,803,810,814,827,835,845,856,858,873,879,891,893,906,915,923,927,939,946,957,968,969,980,992,995,1002,1016,1021,1035,1041,1053,1061,1070,1075,1081,1092,1101,1111,1115,1124,1137,1141,1154,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,30,37,49,55,62,73,79,91,98,109,111,127,136,137,146,155,162,179,317,320,328,341,347,353,365,372,381,392,396,410,412,426,435,441,465,603,614,624,633,638,647,655,667,675,681,693,696,709,718,721,734,744,747,761,770,776,784,797,804,813,817,828,831,843,854,857,868,879,885,896,903,910,922,930,940,947,951,965,971,978,991,1000,1008,1015,1024,1031,1036,1053,1061,1064,1077,1079,1095,1099,1105,1116,1127,1134,1143,1152,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,25,29,36,49,54,64,76,79,89,102,104,114,122,128,137,148,155,168,171,316,322,335,336,344,353,365,372,386,387,399,406,419,428,433,440,466,608,616,619,627,638,648,654,663,671,683,692,700,703,715,720,734,745,748,762,768,773,781,797,799,806,817,828,833,841,852,861,871,881,888,893,902,915,921,931,939,945,954,967,971,984,985,1002,1006,1015,1023,1034,1041,1051,1059,1066,1077,1084,1095,1096,1111,1117,1129,1135,1141,1152,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,27,39,47,51,67,74,81,92,99,103,114,127,129,140,146,158,168,176,315,319,328,337,344,355,361,375,380,394,399,409,415,425,433,445,468,604,615,618,626,643,649,652,664,672,684,688,696,708,715,724,734,740,749,758,768,776,782,792,801,814,817,830,832,841,853,859,872,875,890,894,907,910,919,932,939,950,951,961,974,978,991,1000,1003,1018,1023,1030,1040,1046,1061,1069,1074,1080,1094,1100,1111,1116,1129,1135,1147,1153,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,32,34,43,51,60,70,82,89,96,109,111,126,130,139,153,157,168,176,192,320,333,338,347,352,368,372,384,388,400,408,414,421,433,442,469,604,614,624,629,636,647,654,662,672,679,688,701,705,720,723,732,743,754,759,767,779,784,790,804,809,821,828,833,847,853,858,866,879,885,898,901,913,924,932,937,942,958,963,973,976,990,996,1004,1014,1025,1035,1043,1048,1053,1063,1074,1079,1088,1100,1108,1118,1128,1132,1140,1148,1162,1170,1174	1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,9,17,26,41,50,51,65,72,82,91,100,107,115,126,128,139,145,154,170,174,181,321,332,336,346,360,367,371,378,393,398,409,417,422,435,439,600,606,611,624,629,642,644,655,668,670,681,692,700,708,714,725,729,739,747,758,771,776,783,793,799,808,815,827,834,840,849,861,870,880,891,894,902,910,922,933,941,946,956,966,976,983,991,1001,1008,1013,1024,1034,1043,1050,1058,1069,1076,1086,1091,1099,1105,1121,1127,1131,1145,1149,1163,1173,1174	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,23,29,39,43,52,66,69,82,88,98,106,111,124,133,140,151,161,170,173,183,325,328,341,350,360,362,371,386,388,396,405,418,427,433,441,598,606,614,621,627,639,650,654,665,675,682,689,703,709,717,728,733,741,750,757,770,775,785,792,800,813,816,831,832,846,851,858,865,879,884,891,904,908,919,931,942,947,953,967,974,979,987,994,1009,1017,1024,1031,1036,1049,1058,1064,1074,1079,1093,1096,1105,1113,1125,1132,1144,1155,1156,1172,1173	1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,24,31,38,46,54,66,70,79,87,95,108,116,127,131,139,145,161,170,172,179,319,333,339,349,354,362,376,382,394,397,404,419,421,435,438,458,606,616,623,626,635,647,656,667,672,681,693,701,707,719,726,729,746,749,761,768,774,785,790,803,813,815,823,835,844,851,860,871,878,884,891,902,912,917,928,941,944,954,967,971,982,993,995,1003,1013,1020,1034,1044,1048,1057,1063,1073,1082,1092,1100,1109,1113,1129,1134,1138,1155,1157,1166,1176	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,8,18,33,37,43,57,61,68,79,93,98,107,115,121,132,140,153,160,162,173,182,325,334,337,347,356,367,372,383,391,400,406,413,427,430,441,465,607,609,623,628,635,644,652,661,669,679,689,700,710,718,726,736,738,753,755,766,776,785,795,800,807,817,824,834,842,856,857,869,879,885,898,901,913,917,926,935,948,959,963,974,984,990,998,1005,1011,1026,1033,1039,1045,1057,1069,1071,1086,1092,1100,1105,1117,1130,1137,1139,1151,1156,1166	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,22,30,40,47,54,60,76,77,86,96,104,116,119,131,138,146,162,167,176,187,326,330,335,347,353,362,374,383,393,398,406,418,425,434,444,597,608,616,623,633,643,645,660,665,669,683,686,700,707,718,723,737,743,754,757,765,775,787,791,803,812,821,828,833,841,853,861,869,877,882,891,900,911,918,929,938,944,958,966,970,978,987,1001,1008,1012,1019,1033,1044,1051,1060,1068,1075,1081,1091,1104,1108,1115,1130,1131,1140,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,10,24,29,37,43,56,66,76,79,93,100,106,112,119,133,144,145,157,162,173,181,322,329,338,347,358,361,369,383,390,403,410,416,422,431,438,598,606,617,626,632,638,648,656,668,672,683,686,697,706,712,722,733,738,749,761,765,779,787,793,799,813,815,829,833,842,852,861,867,875,887,893,904,913,920,931,939,949,958,966,972,982,990,998,1002,1012,1020,1031,1044,1047,1053,1070,1071,1085,1093,1100,1106,1121,1128,1135,1146,1151,1161,1165,1176	0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,19,28,42,43,56,62,71,79,86,94,102,116,127,131,138,152,154,167,173,187,324,330,335,348,356,365,377,380,391,399,407,420,421,434,443,450,609,610,625,629,638,645,659,664,676,680,689,703,709,718,724,733,740,747,759,769,775,788,792,805,807,818,827,837,842,856,858,868,876,887,897,905,912,920,928,941,950,956,962,971,982,990,997,1002,1013,1024,1031,1039,1053,1056,1062,1076,1080,1088,1101,1111,1120,1128,1136,1140,1151,1160,1167,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,13,18,32,41,49,57,64,72,80,89,101,107,116,126,129,140,152,157,162,172,314,318,329,340,345,359,365,372,378,387,402,411,417,427,430,442,597,600,615,623,634,637,647,654,664,673,679,690,702,708,714,728,730,738,751,762,764,776,781,790,801,812,815,828,835,843,854,863,865,880,887,894,903,916,918,930,936,943,957,960,974,976,989,1000,1005,1013,1024,1031,1039,1051,1061,1070,1075,1086,1089,1099,1113,1121,1122,1137,1143,1154,1160,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,32,38,43,51,65,75,80,92,97,110,117,127,130,145,149,160,169,171,184,320,333,340,351,354,366,376,382,386,396,407,414,425,433,441,447,605,612,623,632,643,650,652,667,670,683,688,698,709,718,725,732,743,748,761,763,779,782,791,804,814,817,828,835,842,849,864,868,878,884,898,903,909,924,928,934,946,951,961,975,984,986,1001,1008,1012,1020,1032,1038,1049,1061,1069,1077,1084,1092,1100,1109,1113,1128,1130,1147,1152,1160,1165,1175	0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,15,18,33,37,43,57,66,68,77,92,95,104,116,120,136,140,145,156,166,176,181,319,332,339,347,358,368,370,384,391,397,407,418,423,429,442,470,601,613,624,629,637,650,659,663,671,684,694,699,708,720,726,736,743,748,760,771,773,787,790,800,808,814,823,836,840,854,863,866,877,890,895,906,911,920,931,938,949,953,965,973,985,992,995,1004,1016,1023,1035,1041,1052,1060,1069,1078,1087,1092,1101,1112,1116,1126,1130,1146,1154,1156,1169,1173	1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
7,15,17,31,38,44,54,67,75,78,88,96,105,113,121,134,138,153,154,166,176,185,326,332,338,351,356,364,373,384,388,395,406,420,426,431,440,600,607,613,621,632,641,645,655,666,674,679,692,698,710,717,721,730,741,751,755,764,779,784,793,804,808,815,824,835,847,850,861,869,874,890,897,907,910,917,928,938,948,953,967,970,978,990,998,1004,1014,1024,1030,1036,1048,1061,1068,1073,1081,1089,1096,1107,1116,1129,1137,1139,1154,1162,1164,1178	1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,24,31,35,48,56,62,74,84,92,97,107,116,121,135,142,150,155,166,172,191,321,330,343,349,356,366,372,378,391,401,409,413,424,433,439,457,607,617,624,627,641,648,657,665,671,683,688,698,708,712,725,731,741,752,757,763,774,782,794,799,806,817,828,831,847,856,861,873,882,886,897,903,912,925,927,940,943,959,965,969,983,987,996,1002,1018,1023,1031,1043,1050,1058,1062,1071,1079,1090,1104,1106,1114,1129,1133,1142,1154,1164,1171,1177	0,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,19,29,38,43,52,66,71,77,91,94,109,116,127,130,138,145,154,169,171,186,320,334,339,348,356,365,374,384,389,395,407,415,427,433,443,458,604,614,622,628,640,646,653,664,673,682,692,696,705,715,725,736,745,750,755,767,773,787,794,798,806,819,830,832,845,849,860,871,876,885,896,907,909,918,926,942,943,954,960,972,983,991,998,1004,1017,1025,1035,1043,1046,1060,1065,1073,1084,1093,1101,1110,1121,1125,1133,1145,1154,1163,1171,1177	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,11,20,30,35,47,52,65,72,77,87,95,106,112,121,135,142,151,156,163,175,187,320,333,337,345,356,366,373,380,389,398,403,417,421,437,440,470,607,612,621,629,636,648,654,661,669,684,687,698,705,714,726,733,742,751,757,765,774,783,795,800,811,817,831,835,841,848,858,871,876,885,892,906,910,922,929,937,950,952,966,976,981,989,999,1008,1015,1026,1033,1041,1049,1059,1069,1073,1084,1094,1098,1111,1114,1128,1133,1141,1155,1161,1169	0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,10,23,30,35,49,54,68,71,77,87,96,104,118,125,129,141,151,154,170,174,317,320,335,342,351,357,363,375,384,391,400,411,415,425,430,439,468,609,610,626,632,638,648,657,661,673,678,694,698,711,713,725,731,745,747,760,769,776,788,795,800,809,816,825,832,843,854,861,870,877,884,897,904,915,918,927,938,947,955,962,972,982,985,997,1003,1014,1024,1036,1042,1052,1061,1065,1071,1079,1092,1099,1108,1119,1126,1136,1145,1155,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,32,35,43,55,60,73,82,87,98,110,118,120,132,136,148,156,169,173,317,320,327,341,346,360,368,373,384,391,398,408,417,426,437,443,598,606,617,626,628,639,646,659,660,676,681,694,697,705,713,728,730,738,746,758,768,775,782,797,799,809,819,829,837,842,851,860,871,878,889,899,906,912,917,932,940,944,958,964,972,977,988,997,1010,1014,1027,1029,1044,1048,1060,1068,1072,1083,1094,1104,1106,1114,1123,1134,1145,1154,1160,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,28,40,43,58,66,70,81,92,101,103,116,124,132,139,151,155,168,174,313,319,331,340,347,359,361,374,386,389,402,406,418,422,434,442,596,605,611,625,629,640,650,652,667,669,681,689,699,703,720,721,737,739,751,762,766,777,788,791,798,809,819,830,835,843,856,862,866,882,888,897,904,909,924,931,935,949,958,963,972,979,988,997,1006,1018,1020,1034,1039,1050,1059,1066,1073,1086,1088,1097,1110,1113,1129,1130,1140,1151,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,32,39,43,59,68,73,81,93,95,102,115,124,132,144,146,158,165,174,317,322,335,341,347,356,367,377,382,388,396,409,417,429,431,440,597,606,614,622,629,641,646,653,662,674,678,692,698,704,719,724,729,744,751,754,763,774,788,789,801,811,816,826,835,840,855,859,867,878,886,899,901,915,923,931,941,943,959,967,976,977,990,1000,1004,1011,1022,1032,1040,1052,1061,1064,1077,1083,1093,1097,1106,1115,1129,1134,1146,1148,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,18,28,34,50,54,63,70,82,93,95,110,116,124,130,144,148,159,169,178,315,318,333,339,350,359,363,372,379,389,399,404,418,424,433,443,600,609,616,623,633,642,651,657,667,669,683,687,698,706,713,723,732,742,747,755,765,779,787,794,805,812,822,827,839,840,855,865,866,876,884,895,903,911,922,931,936,945,956,962,973,981,986,998,1002,1018,1022,1030,1041,1046,1056,1069,1071,1087,1095,1100,1108,1116,1124,1130,1140,1149,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,33,37,45,56,65,70,82,92,93,106,111,120,133,139,148,155,164,174,316,323,334,338,345,352,369,377,381,391,396,409,416,427,430,442,460,604,611,624,633,638,649,655,662,669,686,694,697,710,712,726,734,742,746,761,768,775,787,789,803,811,820,830,831,840,854,860,868,880,886,893,903,909,923,926,940,943,958,964,970,984,992,999,1006,1013,1024,1029,1037,1045,1060,1062,1072,1079,1091,1099,1105,1115,1126,1135,1139,1148,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,28,42,48,55,67,69,79,85,99,103,114,120,128,143,147,161,167,171,313,325,327,335,350,356,361,376,385,392,397,409,414,428,431,442,447,603,611,619,633,636,646,654,661,670,680,694,696,706,716,721,736,742,753,759,767,776,788,789,800,810,822,826,832,843,856,863,874,882,886,891,902,911,922,933,940,949,958,962,971,979,991,998,1006,1014,1020,1034,1037,1047,1057,1068,1071,1079,1088,1101,1111,1115,1126,1138,1144,1154,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,30,38,45,56,68,72,78,85,96,108,112,123,131,142,149,162,170,171,316,319,331,342,345,359,368,376,384,394,398,409,417,422,433,441,597,608,613,622,629,641,648,654,667,676,678,689,702,711,716,723,731,746,753,757,766,776,785,790,805,811,821,824,839,847,852,858,866,874,884,893,904,913,922,932,940,942,954,960,972,983,987,996,1007,1013,1026,1030,1036,1048,1054,1064,1076,1085,1091,1101,1112,1117,1129,1138,1144,1150,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,29,36,50,56,67,70,79,87,100,106,113,125,135,137,150,160,170,171,189,320,328,339,348,358,365,377,380,389,402,408,413,426,435,440,597,601,617,622,628,642,646,652,664,670,679,692,700,706,718,721,732,739,748,762,766,773,786,796,802,812,817,825,832,845,848,859,869,877,884,892,902,913,921,933,937,951,959,961,972,978,988,1000,1005,1018,1023,1035,1037,1046,1060,1070,1078,1085,1088,1103,1107,1118,1121,1131,1147,1155,1164,1170,1177	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,20,30,34,50,52,64,68,84,90,98,109,114,121,131,136,150,155,162,177,314,321,332,340,350,353,367,369,381,394,400,405,413,423,430,447,468,608,613,618,634,640,647,655,662,676,685,688,695,705,715,728,732,739,747,760,770,779,780,790,803,814,817,830,837,841,853,863,869,874,889,894,906,914,921,930,942,946,958,961,971,979,990,1002,1010,1016,1027,1034,1040,1051,1059,1069,1074,1086,1094,1103,1104,1119,1129,1133,1147,1151,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,33,39,49,57,62,70,80,87,94,107,115,126,129,138,151,160,169,173,314,326,327,337,349,355,361,370,380,390,403,408,413,421,431,441,599,607,613,625,627,637,648,652,662,672,683,686,703,705,713,723,730,740,752,756,765,780,788,795,803,811,817,829,836,844,855,862,866,878,884,891,904,908,925,931,937,945,955,963,975,979,988,1000,1003,1012,1022,1028,1039,1049,1060,1067,1076,1079,1088,1097,1106,1116,1128,1137,1145,1151,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,19,27,39,43,53,65,73,80,92,95,108,111,123,131,138,146,153,163,173,313,321,334,341,350,356,365,374,381,393,401,409,412,422,432,444,599,603,614,623,630,639,646,656,660,677,679,691,697,709,716,726,730,739,753,761,771,778,780,790,805,812,822,824,833,840,855,859,868,878,890,898,900,915,922,931,938,945,951,961,968,978,987,1000,1008,1016,1020,1031,1044,1049,1058,1069,1072,1087,1094,1099,1106,1121,1122,1135,1139,1152,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,30,34,45,55,66,73,82,93,94,108,115,124,133,138,152,158,169,171,313,318,335,339,345,360,361,378,380,392,397,408,419,426,437,443,467,601,613,619,626,640,648,653,660,674,684,693,701,704,713,722,733,740,753,763,771,780,788,790,801,813,817,830,835,844,853,861,871,880,889,893,901,910,919,932,942,943,954,967,969,978,991,1000,1005,1015,1021,1031,1040,1049,1059,1069,1072,1084,1090,1096,1112,1119,1128,1130,1141,1153,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,27,38,50,55,66,75,81,86,97,103,115,125,128,137,153,157,163,174,185,321,333,335,348,360,367,373,379,391,399,403,418,429,430,444,449,605,617,622,631,640,649,653,664,676,680,686,702,707,718,723,731,740,752,762,763,775,787,795,797,811,814,830,833,848,849,862,869,882,884,892,905,911,924,926,941,947,953,961,968,984,990,1000,1007,1011,1025,1029,1044,1051,1057,1070,1078,1082,1087,1098,1110,1120,1129,1130,1142,1147,1162,1167	1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
8,15,23,26,38,46,58,60,68,80,93,96,103,114,121,131,138,150,159,169,172,315,324,332,343,346,359,365,370,379,392,401,411,420,424,432,444,597,608,612,620,632,641,650,658,665,677,679,688,700,703,716,722,732,745,754,757,763,779,781,789,798,810,816,826,833,841,856,859,866,882,890,898,899,915,921,928,936,944,958,964,968,977,988,999,1007,1017,1025,1032,1036,1049,1059,1063,1074,1087,1092,1097,1108,1116,1125,1133,1140,1152,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,23,26,42,43,59,64,74,77,89,96,109,111,121,128,139,146,157,165,170,316,321,329,342,352,356,365,378,385,388,396,411,418,424,437,445,599,607,617,621,626,637,646,658,666,669,681,687,700,709,715,724,729,744,750,755,769,773,781,790,797,806,815,830,835,847,850,863,872,882,885,896,900,910,924,932,938,945,951,961,968,980,986,1000,1006,1014,1026,1033,1041,1046,1055,1062,1072,1085,1092,1096,1108,1121,1128,1133,1144,1155,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,25,31,34,43,52,66,76,79,90,94,105,115,123,135,143,152,156,162,176,313,325,329,340,344,359,361,373,380,386,398,404,412,423,432,445,457,609,616,619,631,638,644,656,666,671,680,690,696,704,716,722,734,741,747,761,765,776,782,791,804,809,816,827,835,845,849,859,866,880,883,897,902,912,918,929,941,946,956,965,975,983,988,996,1008,1014,1025,1030,1042,1049,1056,1064,1072,1079,1090,1101,1112,1120,1127,1135,1144,1149,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,28,42,47,56,63,75,84,89,95,108,111,123,133,137,151,154,169,173,313,323,333,337,350,357,367,371,384,393,402,407,417,422,434,440,451,601,612,621,635,639,647,653,662,676,678,690,696,707,715,728,735,742,749,759,769,778,781,797,804,807,821,828,831,840,851,864,867,875,888,893,900,910,920,927,938,945,954,964,971,981,992,997,1004,1015,1019,1031,1044,1045,1060,1066,1074,1085,1093,1100,1112,1114,1127,1138,1142,1147,1164,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,28,41,45,52,67,71,84,89,102,104,113,121,131,141,153,161,166,174,317,320,331,341,344,357,366,374,380,387,401,409,418,424,431,440,599,606,610,622,631,640,645,655,664,677,678,689,699,709,713,726,730,742,754,757,764,777,782,789,805,806,818,826,836,845,850,862,872,881,889,899,901,909,917,933,940,942,957,964,971,983,993,999,1004,1016,1022,1033,1038,1049,1060,1068,1077,1085,1087,1103,1110,1119,1129,1138,1145,1150,1156,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,28,39,50,54,63,75,83,91,94,110,118,124,130,140,146,160,164,171,318,320,332,341,347,352,362,372,380,389,402,407,418,422,436,440,596,607,613,619,628,640,646,653,667,677,679,688,695,706,720,726,736,746,748,759,765,774,786,796,800,807,820,823,838,844,852,862,872,875,882,898,902,915,925,926,935,944,959,964,974,982,987,998,1008,1016,1026,1031,1044,1053,1059,1064,1077,1081,1088,1100,1109,1116,1127,1132,1142,1149,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,31,40,43,56,65,73,81,92,99,106,111,122,132,139,152,157,164,174,313,322,335,338,348,353,366,372,379,392,403,407,420,427,437,443,597,607,614,624,629,635,650,654,661,671,680,694,702,711,719,721,734,740,747,755,769,774,782,788,800,808,818,830,832,847,854,858,868,874,885,898,900,910,921,932,938,948,957,960,973,976,986,996,1009,1018,1021,1028,1037,1048,1055,1069,1075,1080,1096,1101,1105,1119,1122,1131,1145,1148,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,31,35,45,54,65,73,81,92,100,110,114,124,135,142,150,155,165,176,317,323,332,339,344,356,369,372,380,395,397,407,420,427,431,443,458,604,614,623,630,643,647,653,664,671,684,688,702,706,714,721,736,741,746,755,770,779,787,789,804,813,821,831,834,842,856,859,869,875,888,899,900,910,924,926,939,949,954,961,974,978,989,999,1010,1015,1025,1033,1037,1048,1056,1064,1076,1083,1091,1097,1109,1120,1127,1130,1146,1149,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,17,28,36,44,52,67,76,77,93,95,107,115,122,134,136,150,161,167,173,317,323,332,336,345,360,362,373,379,390,397,404,412,421,433,438,447,603,613,622,626,640,643,652,661,670,683,692,698,706,713,723,735,745,753,755,764,774,781,795,805,813,817,827,838,840,852,858,865,881,885,896,905,908,924,925,941,945,951,962,971,980,991,997,1004,1017,1020,1028,1044,1045,1057,1069,1078,1082,1092,1104,1107,1115,1127,1130,1147,1154,1164,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,27,36,47,55,65,74,77,89,99,103,119,126,134,142,153,154,169,178,315,324,332,340,350,353,362,371,383,393,398,408,418,421,434,439,462,604,616,618,634,638,650,658,660,672,681,690,700,711,714,724,729,739,746,761,764,778,786,794,802,812,815,826,839,843,849,858,867,874,885,898,901,912,925,932,937,945,953,965,970,980,992,1001,1008,1015,1023,1034,1044,1051,1058,1069,1075,1081,1090,1098,1109,1120,1126,1130,1143,1150,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,31,37,50,53,66,74,84,87,100,110,112,122,136,137,147,154,169,176,315,325,329,341,346,360,361,374,379,388,402,411,417,424,429,438,596,601,612,623,632,641,651,660,661,674,686,687,698,705,718,725,734,737,746,762,766,779,786,794,805,813,822,827,836,845,851,859,868,880,884,898,908,916,923,932,940,947,958,962,971,977,990,999,1009,1012,1020,1034,1039,1053,1059,1065,1071,1081,1095,1097,1111,1119,1127,1133,1140,1147,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,17,28,42,44,58,60,72,76,91,99,104,115,125,132,141,152,153,166,173,315,323,332,340,346,355,361,376,380,388,403,409,414,427,430,439,599,609,617,618,633,635,649,653,662,672,686,688,699,708,716,728,732,743,750,760,763,772,782,792,803,805,817,823,833,847,854,859,873,876,884,891,907,915,920,931,937,946,959,962,972,980,988,995,1009,1014,1025,1031,1040,1050,1060,1070,1077,1081,1089,1099,1107,1117,1129,1137,1145,1155,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,27,35,50,57,65,73,78,85,101,110,116,125,133,136,149,156,168,175,181,326,329,336,345,360,364,376,378,394,399,410,419,426,429,438,597,602,615,619,626,641,644,658,667,671,682,689,699,711,715,726,733,740,752,761,766,777,788,792,801,807,815,830,837,844,851,858,867,880,890,892,907,912,924,932,935,947,954,961,970,979,988,994,1005,1013,1025,1030,1037,1052,1059,1069,1077,1081,1091,1102,1110,1119,1122,1136,1144,1150,1160,1166	1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,21,26,37,49,59,62,74,83,93,97,110,118,123,129,139,148,155,165,174,181,320,334,342,348,354,366,373,383,390,398,403,414,428,431,441,596,604,609,623,627,641,650,655,666,677,680,687,697,710,716,722,729,744,748,756,771,777,783,791,804,808,820,823,833,846,852,865,869,880,883,893,903,913,922,929,935,948,957,963,972,983,991,1000,1007,1016,1026,1033,1040,1052,1057,1067,1077,1081,1089,1104,1110,1120,1129,1136,1144,1151,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,11,19,30,36,47,53,62,72,79,92,95,110,111,128,131,144,147,161,165,179,183,326,332,343,350,358,361,376,385,389,402,403,415,426,430,442,598,601,615,619,627,635,647,654,660,676,683,692,698,707,715,724,734,741,746,755,767,774,781,793,798,812,817,828,832,843,852,857,870,880,882,897,903,909,922,931,937,944,951,960,969,983,985,999,1004,1018,1027,1032,1043,1050,1057,1070,1072,1082,1091,1103,1111,1114,1128,1136,1141,1149,1160,1164,1175	1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,12,24,26,37,47,56,65,76,84,85,96,109,116,128,129,139,151,157,167,170,179,319,334,342,351,360,368,374,384,388,403,405,414,423,433,440,471,605,610,618,627,637,646,657,669,674,681,690,701,710,715,724,730,738,749,760,769,774,786,795,800,807,817,827,832,846,850,861,865,874,885,897,902,911,923,931,936,949,956,962,971,984,989,995,1010,1017,1024,1028,1042,1053,1060,1063,1074,1086,1093,1101,1105,1118,1127,1136,1144,1150,1163,1168,1173	1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,23,31,42,45,58,67,75,81,87,98,109,116,123,128,145,148,160,170,177,180,318,329,342,344,358,366,374,380,394,395,410,418,427,431,438,599,605,614,622,630,643,649,659,662,672,685,690,699,709,716,726,734,746,751,760,769,778,787,795,800,809,816,824,834,841,854,859,870,877,884,895,906,912,918,926,939,948,953,965,973,980,992,1001,1007,1011,1026,1036,1041,1048,1059,1064,1074,1079,1088,1101,1110,1119,1123,1134,1147,1153,1164,1171,1176	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,8,23,33,37,44,57,66,75,77,91,97,108,111,125,134,142,147,158,164,170,256,326,333,343,351,356,368,371,378,390,398,408,415,422,435,440,598,605,615,622,630,637,651,660,662,675,680,694,695,705,719,728,736,738,753,762,766,776,783,797,799,806,822,830,835,841,850,861,874,875,886,897,900,914,919,929,934,950,957,964,975,982,989,996,1005,1011,1024,1030,1041,1045,1058,1064,1072,1082,1087,1099,1112,1115,1127,1138,1139,1150,1159,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
5,17,22,29,36,48,53,60,68,83,86,100,104,117,120,132,141,147,155,168,172,185,325,332,342,346,356,364,373,386,394,400,411,414,422,432,445,599,607,614,619,626,641,646,659,660,674,685,687,698,710,719,721,737,743,748,760,767,778,787,790,800,806,816,826,832,847,852,857,870,874,889,892,903,913,919,933,941,945,958,964,975,985,993,1000,1004,1015,1027,1034,1040,1053,1060,1068,1072,1085,1094,1097,1110,1115,1126,1138,1144,1148,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
7,9,17,32,34,44,59,67,71,84,85,97,105,116,119,130,140,150,155,170,174,182,321,330,342,344,353,366,377,381,390,401,408,420,421,432,444,468,608,615,622,634,641,651,655,662,674,678,690,700,708,714,723,730,744,747,757,767,776,782,791,800,811,815,827,835,845,849,858,865,875,886,896,903,908,925,929,942,949,958,966,969,984,992,997,1008,1016,1027,1036,1038,1050,1060,1066,1078,1086,1091,1098,1110,1118,1123,1132,1142,1151,1157,1172,1176	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,23,29,35,50,55,60,76,82,88,100,110,118,124,136,143,151,160,168,174,313,323,330,342,344,358,368,373,383,390,399,406,417,428,433,439,597,606,612,621,630,638,649,653,666,675,681,690,697,708,714,725,731,742,752,760,768,778,786,796,805,814,817,824,834,846,854,859,873,880,883,892,902,916,923,926,939,946,952,962,971,979,986,996,1008,1011,1019,1030,1044,1049,1056,1066,1072,1086,1092,1098,1106,1116,1130,1132,1139,1150,1157,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,33,38,47,57,64,72,78,86,99,104,112,119,129,141,149,156,162,173,193,322,334,338,348,352,368,376,378,390,396,410,415,424,436,441,447,608,611,623,628,638,644,657,666,677,684,689,701,708,719,726,734,740,748,755,765,778,788,791,800,809,814,827,839,845,849,865,873,875,885,891,902,913,918,925,936,943,952,959,969,981,988,1000,1009,1013,1019,1031,1037,1048,1055,1068,1075,1085,1087,1098,1112,1116,1123,1136,1145,1151,1161,1166	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,11,22,26,35,44,54,65,68,83,91,94,110,111,123,134,138,148,154,162,176,184,318,330,343,348,354,367,374,384,393,402,406,417,421,431,443,596,604,615,623,629,640,648,660,663,673,682,687,694,705,718,720,734,741,746,756,765,777,784,796,804,807,815,829,832,840,849,860,866,877,885,897,904,911,921,933,940,943,951,961,970,981,989,995,1010,1015,1024,1029,1040,1048,1055,1067,1076,1080,1095,1098,1109,1118,1127,1136,1141,1149,1159,1165,1175	1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
6,13,24,31,42,43,56,62,76,83,85,97,106,111,124,132,142,151,159,168,176,185,323,333,340,346,360,361,372,378,392,397,406,417,429,435,438,597,604,616,626,630,637,650,657,667,672,686,690,695,705,719,725,736,738,748,758,764,778,784,795,804,809,821,826,834,842,852,858,873,879,884,896,901,913,922,928,937,944,958,965,973,984,986,997,1004,1015,1021,1033,1040,1047,1057,1068,1076,1085,1094,1103,1111,1120,1130,1132,1146,1153,1157,1166,1175	1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,21,30,35,49,55,66,72,79,93,99,110,111,124,134,142,151,155,169,178,183,323,332,343,352,360,361,373,381,390,403,410,415,426,432,439,597,608,610,625,633,640,644,652,669,676,685,687,700,708,714,721,736,742,754,756,766,777,781,790,798,807,819,825,838,848,853,858,872,876,886,893,901,913,923,930,939,949,953,963,969,984,993,999,1006,1017,1023,1028,1039,1050,1060,1064,1072,1086,1091,1101,1108,1114,1129,1130,1144,1153,1156,1167,1175	1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,23,26,38,45,57,64,73,81,88,100,107,118,125,130,143,148,155,169,171,194,324,333,336,347,352,366,372,379,393,403,404,414,422,435,440,451,601,617,619,633,639,644,657,662,673,684,687,694,707,719,727,731,740,746,760,763,778,785,795,802,810,817,823,834,840,857,860,873,879,885,893,901,909,922,928,936,949,952,960,976,982,991,1002,1010,1018,1021,1036,1044,1050,1054,1064,1070,1079,1090,1096,1109,1118,1125,1135,1146,1155,1163,1170	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,20,31,36,43,55,61,69,85,87,94,109,114,125,131,138,149,160,162,173,197,323,330,341,349,352,365,377,385,394,399,411,416,424,432,440,599,601,614,625,628,635,649,659,662,671,685,691,702,709,715,726,736,745,750,755,770,777,781,793,805,808,815,823,836,848,854,864,873,877,885,896,901,915,923,925,939,948,951,967,973,981,990,998,1002,1011,1023,1033,1042,1050,1060,1066,1074,1082,1089,1098,1111,1116,1127,1133,1140,1155,1161,1170	1,0,0,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,17,30,36,48,53,63,69,79,89,99,110,113,124,128,144,148,157,168,172,314,319,331,343,345,360,362,373,385,389,403,405,415,427,430,444,598,602,612,624,631,643,648,656,666,674,683,687,696,705,714,723,734,745,753,755,763,778,784,789,798,807,820,825,831,843,854,862,867,875,884,892,903,915,920,933,935,944,954,964,968,979,988,1002,1004,1014,1026,1028,1042,1047,1058,1070,1073,1085,1088,1101,1104,1116,1123,1132,1144,1150,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,30,36,44,54,65,73,80,93,100,103,114,122,133,138,148,157,168,177,313,324,331,336,351,358,369,376,386,388,402,412,419,426,432,442,455,609,615,618,628,635,644,653,660,674,679,693,700,709,718,726,734,744,754,757,767,776,785,792,801,808,815,831,838,847,854,861,866,875,883,897,900,914,918,926,939,943,956,960,976,977,993,994,1002,1019,1022,1033,1037,1047,1055,1068,1077,1080,1092,1101,1105,1119,1129,1131,1146,1153,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,33,37,48,58,67,76,79,87,101,109,116,126,136,139,146,157,165,171,317,321,330,336,349,353,362,374,382,390,403,409,415,424,432,440,597,602,610,622,630,640,646,654,667,677,681,688,701,706,719,724,730,743,747,759,768,776,782,790,802,813,819,826,836,841,856,860,870,875,886,894,905,913,924,927,941,946,958,959,975,980,993,995,1009,1018,1023,1034,1036,1051,1054,1068,1077,1085,1090,1102,1108,1121,1128,1133,1146,1153,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,22,26,35,46,51,62,73,82,88,95,104,111,122,129,141,153,158,164,178,313,322,334,337,346,356,361,370,384,386,395,406,415,422,432,442,447,604,614,623,633,643,645,657,667,674,678,689,700,711,716,722,735,737,753,755,769,775,785,794,801,809,821,829,840,845,856,864,868,877,883,897,901,910,920,929,938,947,958,962,969,984,988,999,1003,1010,1026,1031,1039,1048,1060,1062,1071,1087,1092,1103,1112,1117,1122,1136,1144,1154,1157,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,26,40,44,53,66,70,81,87,99,108,114,124,135,142,146,158,168,175,314,320,331,339,349,358,362,369,385,390,398,404,414,423,434,445,600,602,617,618,630,638,648,656,661,673,681,692,695,711,719,728,733,742,749,755,770,772,786,793,798,807,818,827,839,840,852,858,873,877,890,895,904,916,921,933,937,943,958,962,973,983,986,994,1010,1012,1022,1027,1036,1047,1054,1064,1071,1080,1094,1101,1112,1117,1127,1135,1145,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,17,28,35,47,57,64,72,83,93,101,103,118,123,133,140,152,156,170,175,313,321,327,340,347,358,366,374,384,387,403,409,414,426,435,446,600,604,610,620,629,638,650,653,664,673,681,688,700,704,714,721,730,742,750,754,766,772,785,794,801,813,814,823,837,844,849,858,866,880,884,894,907,910,921,931,935,946,951,962,974,983,986,995,1003,1015,1026,1032,1040,1048,1060,1063,1075,1085,1093,1098,1110,1121,1129,1130,1144,1153,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,27,41,48,53,64,76,83,87,98,103,114,123,131,144,153,154,166,178,313,324,327,341,343,356,368,372,382,392,397,404,415,428,430,442,599,601,611,621,626,642,648,660,662,676,685,691,698,707,712,721,731,737,749,760,769,773,784,795,798,808,816,830,833,843,848,858,865,877,889,896,905,916,919,928,938,944,952,962,969,983,990,998,1008,1018,1021,1033,1040,1053,1058,1070,1076,1084,1092,1100,1111,1116,1122,1132,1143,1148,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,24,29,38,49,59,62,76,77,86,99,104,117,125,128,143,151,161,169,178,313,320,329,343,348,356,368,372,378,387,400,411,413,426,430,443,597,608,617,620,634,640,645,652,667,676,685,688,698,709,715,722,732,745,748,757,766,772,788,792,802,807,821,825,836,847,856,864,872,876,887,896,907,910,920,929,935,950,958,966,970,984,988,997,1004,1013,1020,1032,1038,1052,1054,1069,1077,1086,1093,1104,1113,1120,1129,1135,1145,1147,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,30,38,43,54,67,76,77,91,99,103,115,125,130,137,147,158,169,177,181,319,331,339,348,353,362,371,379,387,402,410,415,424,432,440,598,605,616,621,632,638,648,659,667,673,680,691,700,711,715,722,729,739,746,761,766,777,783,794,800,809,815,827,835,844,856,857,866,878,884,894,907,915,920,930,942,949,952,967,968,982,986,998,1010,1015,1022,1035,1038,1051,1059,1065,1075,1080,1089,1101,1111,1121,1124,1134,1140,1150,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,10,25,27,39,46,56,63,70,77,93,100,105,116,123,129,137,153,161,167,177,317,319,328,339,350,360,363,371,382,387,402,405,419,428,435,443,599,602,609,619,633,639,645,657,667,673,681,694,696,707,718,728,732,744,751,756,763,773,781,796,802,814,822,829,832,840,855,865,867,881,888,897,904,911,919,931,935,947,955,965,971,984,986,1001,1006,1014,1023,1031,1036,1049,1060,1069,1077,1085,1093,1104,1106,1118,1130,1135,1147,1149,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,24,27,40,49,57,64,72,83,86,101,108,111,122,136,141,147,154,167,174,313,319,333,337,345,360,368,376,386,387,402,410,417,422,431,440,462,607,617,623,634,639,645,659,667,671,678,690,699,710,716,722,734,743,749,762,767,779,786,794,800,811,820,827,832,846,855,858,873,876,890,896,900,915,925,926,939,948,957,959,968,984,992,995,1005,1011,1023,1036,1038,1045,1057,1067,1077,1082,1096,1102,1107,1121,1123,1137,1140,1154,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,25,33,37,45,55,61,74,83,91,102,108,114,125,133,140,148,161,168,176,316,320,330,341,346,359,364,376,380,389,402,406,414,423,436,443,459,601,613,620,633,638,648,656,664,675,678,693,699,711,716,726,734,743,747,758,771,779,781,789,803,812,820,824,838,841,851,863,868,878,883,891,900,915,923,932,937,946,956,964,968,979,990,993,1005,1012,1022,1034,1041,1048,1061,1065,1078,1086,1088,1101,1110,1118,1124,1134,1140,1154,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,18,26,37,43,58,67,76,81,87,94,106,115,123,135,137,147,155,170,178,317,320,334,336,346,359,362,370,379,389,400,407,412,420,433,441,597,607,614,618,632,640,644,656,667,674,681,687,697,704,716,725,735,740,749,759,770,777,788,790,804,810,819,824,832,841,856,862,872,879,890,894,903,909,919,930,940,948,954,961,974,983,986,996,1010,1016,1019,1030,1044,1050,1056,1069,1078,1081,1093,1100,1111,1115,1130,1131,1139,1150,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,26,36,45,54,65,68,77,88,95,102,119,124,132,143,146,154,166,175,181,320,329,341,347,357,367,370,385,392,402,408,417,421,437,439,455,607,617,621,629,635,644,654,666,669,678,689,703,708,715,721,733,739,748,758,768,772,785,794,805,809,816,828,834,848,854,861,872,878,883,899,900,915,921,933,939,948,958,966,972,985,991,1000,1006,1017,1025,1029,1040,1047,1057,1068,1072,1085,1094,1103,1107,1116,1125,1133,1145,1149,1157,1165	1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,14,18,27,39,49,56,68,75,79,85,99,103,115,119,131,141,150,157,167,171,313,323,332,337,344,354,363,374,378,389,402,409,414,424,429,442,460,605,610,625,627,642,646,659,667,676,679,690,703,711,715,722,733,744,754,759,765,773,785,791,798,805,814,823,838,848,851,861,872,879,884,893,903,914,917,930,940,949,951,966,970,977,991,1000,1003,1017,1027,1031,1037,1048,1054,1062,1074,1079,1095,1099,1111,1116,1126,1137,1146,1148,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,23,26,35,47,53,60,71,83,88,100,107,118,124,135,139,147,160,169,179,313,325,331,337,344,356,362,371,381,394,398,409,412,428,432,444,454,601,617,618,633,636,648,652,663,670,682,691,699,706,716,722,735,738,746,756,770,777,788,794,797,810,818,823,838,842,856,860,868,882,886,898,902,911,922,933,936,947,956,962,973,976,991,1000,1007,1018,1027,1029,1038,1051,1057,1067,1072,1087,1089,1099,1108,1117,1126,1134,1140,1154,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,30,41,45,54,65,76,80,86,95,105,113,121,136,140,149,161,170,177,315,325,333,337,345,358,367,376,385,393,399,407,418,424,433,443,470,602,614,619,629,638,649,660,662,670,679,690,695,708,715,721,729,739,748,759,768,776,786,796,803,813,822,827,836,847,856,857,866,876,886,894,906,911,925,930,935,947,959,966,973,979,988,995,1009,1014,1025,1028,1037,1050,1057,1063,1071,1085,1088,1104,1105,1113,1125,1131,1146,1147,1162,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,32,35,44,57,62,70,78,91,94,103,119,126,133,137,153,154,170,175,313,324,335,337,351,357,361,377,380,388,401,410,416,426,433,442,598,606,617,625,633,641,651,657,664,673,685,690,702,705,715,725,731,738,752,755,767,779,781,795,804,813,818,826,839,846,854,858,870,876,886,896,900,912,919,928,939,942,954,961,971,984,986,994,1003,1012,1025,1028,1042,1050,1056,1066,1078,1083,1088,1102,1106,1119,1130,1136,1141,1151,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,32,37,43,54,61,72,79,86,98,103,115,123,133,138,145,160,167,172,313,321,329,342,346,357,362,371,379,387,397,405,418,421,434,444,450,604,615,624,626,640,645,657,668,673,680,693,703,707,716,727,733,740,748,763,769,779,787,792,799,808,820,823,836,845,856,861,870,876,884,892,907,911,921,929,936,948,951,964,969,977,992,996,1003,1013,1023,1031,1042,1045,1053,1068,1074,1079,1093,1102,1107,1116,1130,1138,1146,1152,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,28,37,49,51,61,74,80,93,101,103,118,122,129,143,150,154,170,172,316,320,333,338,350,358,363,371,379,390,402,411,419,424,437,439,462,607,617,624,631,636,644,659,667,677,682,691,699,705,711,723,733,742,747,755,770,775,785,793,801,812,820,823,834,840,851,863,868,876,886,895,902,911,924,931,934,950,955,964,970,979,992,1001,1008,1011,1021,1031,1040,1048,1061,1064,1074,1079,1092,1099,1108,1118,1124,1132,1139,1148,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,31,39,47,57,67,74,83,86,96,108,118,125,135,138,149,159,163,173,317,322,335,342,346,354,365,371,382,388,396,408,417,424,433,445,598,602,613,618,631,641,645,657,667,674,682,690,702,707,720,728,736,745,752,762,769,777,784,796,799,809,819,826,839,848,854,858,869,876,887,899,900,916,923,933,939,946,954,964,974,984,985,996,1004,1014,1025,1031,1038,1051,1059,1070,1077,1087,1090,1103,1107,1120,1126,1137,1144,1152,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,29,36,45,51,64,70,84,92,100,108,117,125,129,143,152,157,162,174,316,321,327,340,344,352,365,371,384,394,401,408,415,422,437,439,462,601,610,621,628,637,647,652,662,673,681,690,695,710,718,726,732,743,752,758,768,772,785,792,803,812,822,826,837,846,849,859,869,878,889,894,902,915,924,927,941,946,957,961,975,984,993,1000,1005,1017,1023,1029,1041,1048,1059,1069,1078,1087,1094,1098,1107,1120,1123,1138,1145,1155,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,29,34,46,58,60,76,82,91,100,109,114,121,135,139,145,158,167,172,314,324,334,340,351,353,364,377,383,393,397,410,412,428,434,442,600,605,611,618,627,642,644,660,668,673,681,693,697,710,715,720,734,738,752,759,766,779,784,797,801,806,816,830,836,847,856,857,866,876,889,893,906,912,923,933,941,949,957,963,970,980,990,994,1007,1017,1024,1029,1044,1046,1058,1065,1073,1085,1088,1098,1111,1114,1129,1134,1141,1153,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,29,42,43,57,63,70,81,90,101,105,117,125,134,137,150,159,169,177,313,322,327,339,348,356,368,374,385,394,400,406,418,424,430,443,457,602,614,621,632,639,649,659,666,671,683,690,698,706,719,724,731,739,751,756,770,776,786,795,798,807,819,823,837,843,855,865,868,875,886,894,900,909,920,926,940,945,958,962,974,981,992,994,1008,1013,1021,1035,1041,1051,1057,1070,1074,1080,1088,1104,1110,1119,1124,1138,1145,1148,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,26,36,47,55,61,76,85,90,97,109,111,122,130,139,153,161,170,178,314,318,329,338,344,360,365,370,381,390,400,404,414,424,437,444,468,608,614,621,626,640,648,655,664,674,679,692,700,707,717,722,733,739,750,762,768,772,787,795,804,808,819,823,831,846,852,859,868,876,886,897,903,911,920,933,940,945,956,961,972,977,991,1001,1009,1016,1020,1029,1037,1049,1061,1069,1075,1079,1090,1103,1111,1117,1128,1138,1143,1149,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,22,26,36,47,58,66,69,84,91,94,107,116,120,133,137,149,160,169,177,313,325,332,340,350,353,366,371,378,392,397,407,419,425,435,439,447,606,614,620,626,637,647,655,663,675,685,692,695,708,715,722,735,744,753,754,768,773,786,790,803,808,815,823,837,847,851,860,873,876,885,895,907,909,923,930,937,949,954,960,968,983,991,1002,1005,1011,1024,1029,1042,1050,1055,1069,1076,1086,1091,1103,1108,1118,1123,1134,1146,1151,1160,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,25,30,40,45,56,66,72,80,92,96,102,117,126,132,137,151,154,169,174,181,325,328,342,351,354,365,377,385,387,398,409,420,422,432,443,597,601,615,622,634,640,645,657,668,670,681,692,701,707,718,724,737,743,750,761,769,776,782,791,805,806,822,827,837,844,854,861,873,876,889,891,907,914,923,930,936,949,958,961,970,983,985,998,1007,1017,1027,1030,1044,1045,1055,1062,1070,1084,1093,1099,1110,1113,1125,1134,1141,1154,1160,1171	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,23,26,34,48,57,60,73,85,89,99,110,119,121,131,141,148,158,165,172,186,324,328,341,352,353,361,375,380,390,396,405,420,422,429,440,600,607,615,619,627,643,644,656,668,671,683,692,699,708,716,726,734,742,747,760,763,776,783,794,802,813,817,826,839,841,852,858,873,876,886,899,901,914,921,932,938,944,959,961,970,983,987,997,1007,1018,1021,1034,1038,1048,1060,1069,1071,1080,1095,1096,1106,1115,1129,1138,1141,1154,1158,1171	1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,21,33,36,49,54,62,68,78,87,99,103,115,120,129,140,147,156,165,172,189,326,333,335,344,355,365,377,380,391,403,408,415,424,433,441,597,606,611,618,633,640,644,656,662,674,685,693,697,709,718,725,735,739,747,759,763,775,780,791,803,809,815,830,835,845,849,863,867,877,890,892,903,916,919,930,939,950,954,963,969,978,992,1000,1008,1011,1020,1034,1040,1046,1061,1068,1075,1086,1093,1104,1110,1116,1123,1138,1142,1148,1158,1166	0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,24,29,42,50,56,61,75,80,89,101,109,111,121,130,141,146,159,168,174,180,326,335,343,347,356,361,375,381,391,402,407,419,422,431,442,467,604,615,618,632,639,647,653,664,675,678,688,702,707,718,726,735,743,752,757,771,773,784,793,798,813,818,829,832,844,849,857,868,878,886,895,908,909,925,927,940,949,958,962,971,979,987,996,1005,1016,1025,1030,1042,1053,1061,1064,1075,1084,1093,1098,1108,1118,1124,1134,1142,1153,1160,1166,1175	1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,13,17,27,42,49,55,62,73,85,93,99,102,118,123,132,136,150,160,165,175,180,319,331,341,351,356,366,372,385,391,402,408,420,422,432,443,597,609,618,625,627,640,647,653,664,675,678,687,698,710,712,724,732,743,754,757,769,778,786,792,798,811,822,828,835,842,855,860,868,879,888,893,901,911,919,930,937,947,954,960,971,982,986,1002,1003,1018,1027,1031,1037,1053,1055,1070,1074,1083,1088,1099,1110,1121,1128,1137,1146,1150,1158,1167,1177	1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
2,12,23,30,38,45,59,67,69,76,93,98,107,113,121,130,142,147,160,164,174,190,320,330,340,352,359,361,375,382,387,396,411,416,422,436,439,597,608,612,624,632,638,651,654,666,670,683,691,696,711,715,726,733,738,753,762,770,774,783,792,801,813,816,824,838,847,850,865,872,878,888,897,907,912,924,929,941,946,959,966,973,981,987,995,1010,1015,1020,1030,1036,1049,1056,1064,1074,1086,1090,1102,1106,1114,1124,1131,1139,1152,1162,1168,1178	1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,23,30,36,45,58,66,76,83,93,97,103,118,121,131,139,147,155,169,174,187,326,331,338,350,358,366,371,378,393,397,405,420,422,432,439,599,603,615,626,634,640,652,654,662,669,685,691,694,710,717,720,729,739,747,762,765,775,786,789,800,813,821,828,833,841,854,861,870,877,890,897,906,910,923,933,935,945,954,967,974,977,992,996,1004,1011,1027,1031,1039,1048,1053,1069,1074,1085,1088,1098,1110,1120,1121,1137,1146,1147,1160,1172,1178	0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1
4,13,21,32,40,46,53,64,72,79,86,100,109,117,122,131,140,149,159,165,175,182,318,330,336,344,354,364,372,385,388,395,410,419,420,432,438,596,603,615,624,632,636,649,652,662,676,686,689,702,704,713,728,732,745,753,760,766,778,785,795,800,813,815,826,833,842,852,863,872,879,889,896,901,912,922,933,941,947,956,963,972,982,988,993,1004,1010,1023,1028,1040,1045,1057,1068,1076,1084,1089,1098,1105,1113,1122,1132,1143,1147,1160,1171,1173	1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,22,34,41,51,56,62,70,82,90,97,109,115,125,132,139,151,153,166,170,318,323,331,340,351,357,369,375,383,393,400,403,418,426,436,439,597,605,616,621,631,640,647,656,662,669,678,687,695,711,713,724,733,741,747,760,769,775,786,793,803,810,819,826,838,847,854,864,870,882,887,897,902,915,919,933,934,949,952,960,974,981,993,1001,1010,1011,1021,1035,1038,1052,1054,1063,1071,1085,1094,1097,1107,1118,1129,1134,1140,1154,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,30,37,50,51,60,74,82,93,98,106,113,124,130,142,145,156,163,173,179,319,328,342,347,357,363,377,381,389,398,406,413,426,432,446,451,609,613,618,627,642,650,654,662,673,682,694,698,708,718,728,733,744,746,756,768,773,786,796,802,809,819,825,831,844,853,864,873,879,885,897,904,916,922,925,934,947,954,961,973,978,987,1000,1003,1017,1020,1036,1044,1049,1060,1066,1071,1080,1089,1102,1105,1118,1126,1138,1145,1153,1158,1168,1176	0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,22,27,40,43,55,65,70,76,89,98,105,111,127,130,142,148,161,166,173,182,320,331,341,345,354,362,370,379,391,403,405,420,422,437,442,599,607,615,625,633,642,651,657,668,670,679,691,701,708,713,725,730,739,748,763,766,772,786,790,800,806,822,829,839,840,854,865,871,880,889,898,906,913,920,932,938,950,956,966,972,981,993,1000,1008,1015,1026,1031,1044,1047,1061,1063,1073,1081,1089,1098,1108,1116,1127,1131,1144,1155,1163,1171,1176	0,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
5,15,18,29,42,47,54,62,76,83,85,94,103,115,122,136,139,145,153,168,172,188,326,330,338,348,353,361,373,384,391,398,409,420,424,430,442,599,603,614,621,633,637,651,658,666,675,684,689,697,707,713,728,736,744,748,762,768,775,785,789,802,812,817,826,831,841,856,864,870,882,888,898,905,912,923,933,937,943,951,963,976,982,989,1001,1010,1012,1022,1028,1044,1046,1058,1067,1075,1083,1088,1101,1109,1120,1126,1135,1144,1148,1161,1169	0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,18,29,35,45,59,68,73,80,87,99,102,111,121,133,143,150,159,164,178,191,324,327,339,349,355,368,373,386,392,400,408,419,428,435,442,467,606,615,625,631,639,646,656,663,674,679,688,696,704,713,720,731,740,748,758,770,774,784,789,797,808,821,831,832,840,851,862,872,876,884,894,899,915,923,928,937,944,955,966,969,977,993,1000,1007,1014,1025,1035,1042,1049,1061,1064,1073,1080,1093,1097,1107,1115,1127,1135,1145,1151,1158,1169	1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,25,30,37,42,56,65,75,78,87,101,107,113,125,130,137,145,158,163,175,180,324,328,336,344,358,365,375,386,389,401,404,416,424,432,438,455,602,611,620,627,636,649,652,666,675,677,688,701,707,714,724,734,744,748,758,766,773,784,795,804,805,818,826,837,842,853,865,866,875,889,894,900,916,921,933,937,946,957,962,974,977,993,1000,1010,1013,1027,1031,1044,1048,1057,1065,1075,1084,1088,1103,1108,1121,1128,1136,1143,1153,1157,1169,1176	1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,19,30,36,47,52,67,73,83,93,97,104,115,127,130,139,148,159,162,171,180,320,327,336,349,355,369,376,385,394,399,406,416,423,437,438,599,603,617,625,629,642,648,656,667,676,685,692,702,706,714,722,737,742,746,756,765,778,787,793,805,810,818,823,836,845,855,859,871,878,887,893,907,909,925,926,939,948,955,967,975,980,987,996,1005,1016,1024,1035,1044,1045,1057,1066,1072,1087,1092,1102,1110,1116,1129,1134,1145,1148,1161,1164,1175	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,13,25,32,40,49,57,59,71,77,86,95,107,115,121,133,144,150,158,163,175,315,326,328,340,348,354,363,376,378,388,395,410,415,424,430,440,451,603,614,620,629,641,644,659,662,669,681,688,701,706,720,727,732,745,752,763,769,771,782,791,805,807,820,830,835,841,854,863,871,878,887,892,900,913,919,933,940,946,956,968,971,981,985,998,1005,1013,1020,1028,1044,1049,1055,1068,1074,1085,1091,1100,1105,1115,1128,1135,1143,1149,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,27,42,49,53,61,76,80,88,96,109,115,123,132,137,149,158,162,176,314,320,328,336,352,354,368,369,381,393,402,411,419,427,436,438,599,608,616,618,626,638,644,655,665,673,682,690,696,704,713,727,729,744,748,759,770,777,786,792,800,809,820,831,838,845,856,860,870,874,882,893,901,911,917,930,941,947,952,962,974,982,991,997,1006,1018,1024,1034,1036,1046,1056,1069,1077,1086,1089,1102,1106,1118,1122,1137,1138,1147,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,28,42,47,55,63,72,76,91,100,108,114,125,136,144,145,154,165,176,314,319,334,343,351,354,361,371,382,386,397,411,418,425,432,445,597,603,611,621,628,643,647,655,665,673,679,691,697,703,715,728,732,745,752,762,768,771,780,795,799,806,819,829,832,841,855,858,866,876,882,893,904,908,921,927,942,948,951,962,970,980,985,995,1007,1014,1026,1032,1038,1051,1057,1063,1072,1085,1093,1099,1108,1120,1124,1137,1145,1147,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,33,37,50,59,61,72,81,93,99,103,119,125,134,144,148,158,166,178,315,319,334,340,345,357,362,376,379,388,396,406,420,427,435,441,465,601,616,619,633,641,648,655,663,674,683,690,699,704,715,725,734,743,754,759,764,776,787,793,801,809,816,824,833,840,851,859,870,878,888,895,907,909,923,932,934,943,952,962,972,980,993,997,1006,1014,1019,1030,1043,1050,1058,1069,1077,1081,1094,1098,1108,1116,1124,1131,1144,1149,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,31,34,48,53,64,74,84,88,94,105,113,120,129,139,150,159,164,172,314,322,331,336,351,359,365,373,380,394,402,406,417,424,437,440,451,604,611,623,629,639,647,659,663,676,684,687,698,709,713,721,736,741,747,755,763,772,781,790,799,807,822,825,833,844,849,863,870,874,886,897,901,912,925,929,942,950,958,960,971,978,988,996,1007,1015,1021,1035,1041,1049,1057,1064,1073,1082,1088,1104,1108,1119,1129,1136,1146,1153,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,32,38,49,55,63,68,84,88,97,108,113,119,129,139,145,162,170,176,314,320,334,342,346,357,361,377,383,390,397,409,412,426,437,445,466,609,613,625,629,636,646,654,668,670,678,688,702,707,718,723,733,745,752,756,769,779,785,793,802,813,821,830,835,841,850,859,866,882,884,893,903,910,923,930,937,942,956,963,969,978,985,993,1006,1011,1022,1034,1037,1046,1060,1065,1079,1081,1088,1101,1110,1116,1124,1135,1142,1154,1163,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,30,42,46,57,63,72,80,93,102,104,115,126,129,139,150,154,170,172,314,318,330,338,344,355,364,370,384,394,400,410,419,421,432,440,469,608,615,621,626,642,647,655,665,670,678,687,702,708,715,726,729,741,753,758,766,779,787,792,800,806,821,830,832,840,855,865,874,877,889,899,900,910,925,926,938,948,953,965,971,981,989,1002,1004,1013,1021,1030,1038,1047,1060,1069,1076,1086,1091,1099,1108,1119,1122,1138,1146,1151,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,32,41,50,52,63,71,83,92,101,109,116,125,134,136,149,154,165,175,317,321,332,335,346,357,362,370,383,393,398,410,415,425,433,442,597,603,614,618,627,636,649,654,663,673,683,691,699,708,712,722,729,740,747,757,767,779,783,796,798,810,821,828,838,845,856,858,868,879,885,893,900,914,922,932,938,943,956,964,973,978,992,998,1002,1011,1019,1028,1039,1050,1056,1063,1078,1079,1089,1097,1107,1114,1123,1136,1145,1152,1164,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,31,40,48,53,61,70,80,92,98,107,111,120,133,142,150,155,163,174,315,322,330,343,351,354,366,369,379,388,400,404,420,423,430,445,452,609,614,623,634,637,644,655,661,671,680,694,702,703,712,726,734,743,752,756,763,773,784,790,804,812,822,823,832,842,852,857,873,877,890,897,901,911,920,933,942,946,959,967,970,979,985,998,1005,1013,1022,1028,1039,1048,1062,1067,1078,1079,1089,1098,1109,1113,1128,1135,1141,1151,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,25,30,36,44,57,63,71,79,93,101,109,114,128,132,140,146,155,170,178,316,322,328,335,345,357,363,370,379,393,403,409,412,427,432,443,600,603,614,620,626,641,647,653,668,670,683,687,701,709,717,721,731,745,748,756,764,773,786,792,803,809,816,827,839,843,850,863,865,882,885,892,901,909,923,932,940,948,956,965,970,977,991,998,1008,1015,1024,1031,1041,1050,1056,1068,1074,1081,1090,1099,1106,1114,1129,1134,1146,1147,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,25,39,47,56,65,74,84,88,95,107,112,124,129,139,153,155,164,176,317,320,330,340,347,358,364,370,381,390,401,404,415,427,429,445,598,601,616,621,632,635,646,653,666,675,685,689,695,707,719,722,731,743,749,755,767,775,788,794,801,809,817,828,833,847,854,864,868,877,884,895,905,913,921,929,938,949,956,961,975,978,985,1002,1006,1017,1024,1033,1042,1051,1059,1069,1078,1083,1089,1103,1107,1121,1126,1132,1143,1149,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,30,35,47,55,67,70,80,89,96,108,111,125,131,138,150,161,170,177,315,320,327,338,345,360,363,377,385,390,398,410,419,422,435,446,600,608,616,621,630,635,651,659,665,671,684,690,696,710,714,723,736,745,747,757,765,772,780,791,799,813,815,830,837,843,855,864,873,878,888,895,903,910,919,925,939,945,955,964,970,984,991,996,1007,1017,1024,1034,1041,1053,1061,1070,1075,1084,1091,1103,1111,1116,1125,1138,1146,1148,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,32,40,48,52,67,71,77,89,100,109,111,125,129,143,147,156,164,174,314,318,335,337,348,353,361,376,379,390,397,408,415,429,432,444,598,603,615,619,634,641,643,652,663,669,678,694,699,707,715,728,731,738,747,759,771,773,786,791,804,806,822,830,834,840,851,861,867,882,889,898,908,912,922,927,935,943,957,966,974,980,991,996,1004,1018,1022,1032,1036,1049,1060,1066,1077,1080,1088,1099,1112,1116,1126,1138,1147,1154,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,29,39,47,52,60,71,80,90,94,109,113,125,135,144,152,155,166,178,186,322,331,339,349,357,365,370,385,395,398,411,416,428,433,439,598,602,614,619,632,642,649,656,668,671,683,690,700,707,713,727,737,744,753,755,767,772,787,794,799,809,817,826,833,847,849,864,870,875,890,896,903,916,922,930,934,949,952,964,969,984,988,997,1009,1017,1022,1029,1036,1047,1057,1067,1078,1082,1090,1098,1106,1118,1130,1135,1144,1148,1161,1165,1175	1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,17,32,36,47,54,65,68,83,85,100,110,118,125,134,144,150,154,165,174,318,319,333,343,347,354,362,376,382,386,398,409,414,424,434,445,596,607,611,623,627,637,645,655,662,671,680,689,700,711,714,720,736,743,751,759,767,774,787,793,799,810,819,823,831,841,853,865,866,878,884,897,908,916,923,930,938,945,955,967,974,984,987,994,1005,1015,1026,1029,1042,1045,1054,1064,1076,1082,1090,1104,1108,1117,1128,1134,1141,1149,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,28,39,44,59,61,76,83,86,99,104,113,121,128,141,146,155,170,178,314,320,328,341,346,360,366,374,381,387,400,406,420,426,429,444,466,607,609,625,627,640,645,657,666,669,678,690,699,706,712,724,736,741,750,754,766,776,782,789,805,806,819,824,835,842,849,861,873,875,885,897,900,908,918,931,941,942,954,966,976,979,989,999,1006,1017,1019,1034,1039,1049,1057,1063,1077,1085,1091,1100,1111,1116,1123,1133,1144,1150,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,29,42,45,55,64,76,77,93,97,108,115,120,131,143,150,157,166,170,315,325,329,337,344,360,364,370,386,389,395,405,414,424,431,445,600,601,613,625,632,639,650,654,668,670,680,687,702,708,717,728,732,741,753,760,766,778,787,796,800,812,821,828,835,843,850,864,870,877,883,895,903,914,922,933,934,944,958,965,971,977,989,994,1003,1016,1019,1027,1042,1047,1058,1063,1072,1081,1093,1097,1106,1114,1129,1134,1147,1148,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,25,39,48,54,67,70,82,87,97,105,114,120,136,138,151,159,166,178,315,319,333,342,349,356,362,373,381,391,396,411,419,422,432,444,466,607,615,625,629,636,645,653,667,670,678,692,697,707,713,724,736,738,753,763,771,772,781,789,802,814,817,828,839,840,855,865,873,878,888,897,899,912,921,927,939,950,953,966,974,977,990,1002,1007,1013,1024,1028,1043,1045,1054,1066,1073,1081,1088,1098,1106,1118,1122,1137,1146,1150,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,24,28,37,46,57,68,71,83,85,102,109,119,121,129,140,153,155,162,170,313,322,326,337,346,356,361,370,384,389,403,404,415,421,429,439,597,604,617,624,634,636,652,654,663,672,680,687,698,711,715,727,732,740,749,759,767,779,787,789,803,814,820,826,831,844,849,857,867,878,884,896,903,916,920,927,934,942,956,963,975,984,991,996,1008,1015,1019,1033,1041,1048,1054,1064,1071,1083,1092,1099,1111,1121,1126,1132,1146,1149,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,33,39,42,58,62,76,83,91,99,102,114,123,129,140,147,158,169,176,316,322,330,335,346,354,365,369,383,386,395,410,416,428,435,440,461,607,614,620,627,637,649,655,663,670,685,690,697,711,712,720,732,745,749,760,769,773,785,791,802,805,820,830,836,847,852,862,865,882,884,899,900,915,923,933,939,943,953,962,971,982,985,994,1002,1015,1021,1031,1041,1048,1059,1066,1071,1087,1092,1102,1105,1115,1126,1134,1145,1152,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,30,34,44,51,60,70,78,93,96,105,118,127,131,139,145,154,169,173,313,322,331,341,351,360,361,370,380,393,400,406,420,428,435,437,460,608,610,623,631,639,651,654,664,677,683,691,697,708,715,727,737,745,753,758,766,780,787,790,802,806,819,830,832,845,851,864,871,881,885,892,905,910,922,932,940,947,954,962,968,978,987,1000,1003,1013,1020,1031,1039,1047,1057,1063,1077,1086,1091,1099,1109,1116,1129,1134,1142,1153,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,32,35,46,53,62,75,83,89,100,104,112,122,128,140,149,154,168,175,316,320,327,337,347,353,366,378,379,386,402,410,415,426,431,438,597,601,609,625,630,635,646,660,664,669,678,692,695,710,717,723,735,740,749,759,764,773,788,792,801,808,820,824,839,842,848,862,867,881,886,898,902,909,922,932,941,948,951,960,971,982,992,996,1009,1016,1026,1033,1040,1051,1057,1062,1073,1081,1090,1101,1108,1119,1128,1132,1145,1149,1161,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,27,35,44,51,60,75,80,89,97,110,112,124,134,136,146,159,169,172,314,323,332,340,347,354,362,370,383,391,399,410,415,420,430,444,456,606,615,621,633,640,645,655,663,670,682,687,700,703,714,728,730,740,752,761,771,777,786,788,800,811,820,824,833,840,854,859,869,880,885,899,907,912,921,932,940,943,956,962,976,978,991,999,1010,1016,1019,1031,1041,1051,1059,1070,1074,1082,1088,1096,1110,1114,1122,1136,1145,1149,1161,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,29,35,45,57,68,76,80,93,99,104,114,125,129,140,146,154,169,174,314,325,328,341,349,353,362,371,385,392,395,407,414,426,434,438,599,603,611,619,634,635,644,653,665,677,678,687,703,709,718,723,730,744,746,756,763,774,780,793,798,806,818,829,839,845,851,857,872,880,885,892,907,913,917,928,936,946,958,962,972,976,988,998,1003,1015,1021,1034,1042,1046,1061,1069,1073,1080,1094,1101,1108,1121,1125,1135,1139,1148,1160,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,30,38,49,57,67,74,79,92,99,103,112,124,135,138,152,161,163,174,316,321,331,339,347,354,365,373,381,387,395,408,413,422,434,442,597,608,613,625,627,641,650,658,664,671,685,691,696,707,712,722,736,737,749,758,766,776,783,793,803,809,820,829,831,846,855,864,868,878,884,893,901,908,917,933,941,944,957,965,971,983,991,994,1006,1015,1025,1035,1044,1048,1054,1064,1071,1083,1095,1104,1107,1121,1123,1137,1146,1148,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,17,29,39,50,58,65,71,77,87,101,103,117,126,129,142,153,158,164,175,317,322,334,338,344,356,362,370,382,393,402,403,413,425,431,447,596,603,613,623,627,641,645,656,661,675,684,688,699,708,712,727,734,744,750,761,771,774,782,796,804,812,820,828,836,842,854,862,869,874,885,895,908,915,922,928,935,947,959,960,973,977,991,1000,1004,1016,1019,1033,1042,1049,1061,1066,1074,1086,1088,1098,1106,1117,1129,1136,1142,1155,1163,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,26,34,47,51,64,74,84,86,96,107,118,122,132,141,151,162,168,175,180,326,327,343,352,355,362,371,380,387,395,411,419,425,433,441,458,602,614,622,630,642,649,657,666,674,682,687,698,706,716,725,731,743,749,758,767,774,787,796,798,812,815,824,834,848,855,859,873,875,890,897,902,915,918,929,935,943,959,964,971,978,987,993,1007,1013,1024,1033,1037,1052,1056,1063,1070,1080,1088,1096,1109,1113,1129,1135,1139,1149,1162,1166,1173	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,18,33,34,49,58,67,70,76,87,99,104,115,122,135,144,147,160,165,176,187,319,331,341,351,354,363,372,384,391,403,407,416,423,430,439,453,604,613,623,632,637,648,658,667,669,682,692,695,704,715,727,736,738,747,760,764,774,781,792,798,809,820,825,839,846,855,864,869,876,885,894,901,912,919,930,941,948,955,966,974,983,989,1000,1004,1013,1019,1034,1044,1053,1059,1065,1071,1087,1090,1101,1110,1120,1124,1133,1144,1148,1159,1169	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,21,29,36,50,52,68,74,82,88,96,109,111,120,134,144,146,159,165,174,187,326,332,340,346,360,364,374,378,387,402,407,418,424,434,440,597,606,609,620,629,636,649,654,665,675,682,693,700,705,719,722,733,745,746,761,770,777,782,794,800,808,816,824,836,846,854,860,866,881,884,894,902,915,919,927,936,942,957,966,976,979,993,1000,1005,1011,1026,1030,1040,1052,1059,1066,1074,1079,1089,1102,1105,1116,1128,1132,1144,1156,1161,1171,1178	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,20,33,36,46,56,62,75,84,88,99,107,116,124,130,144,152,156,168,173,315,319,334,340,346,359,363,373,382,394,402,406,413,426,432,442,597,601,615,623,629,638,651,656,663,672,683,687,700,706,718,725,729,738,751,758,769,775,783,792,805,810,818,823,833,847,852,858,868,877,883,893,902,915,919,928,934,947,951,963,971,982,990,994,1010,1011,1024,1035,1043,1046,1058,1070,1074,1085,1092,1101,1108,1114,1124,1131,1139,1152,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,25,32,36,44,56,68,71,81,92,95,110,117,126,130,139,152,155,170,172,185,325,327,339,345,358,367,377,380,394,396,411,416,428,437,440,599,606,612,624,634,637,643,657,667,677,684,686,698,708,717,725,737,738,749,759,767,777,780,789,798,806,816,827,836,840,854,858,873,876,884,894,900,910,925,929,938,948,954,965,971,977,992,996,1008,1016,1025,1035,1041,1052,1054,1062,1074,1086,1093,1098,1107,1119,1130,1136,1144,1155,1161,1168,1177	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,16,24,34,39,43,52,65,73,79,91,96,109,111,123,131,143,147,154,168,178,188,325,327,338,351,358,368,374,384,389,396,411,412,428,430,439,466,602,614,622,632,637,646,658,663,671,681,694,698,704,720,725,736,744,753,758,767,777,783,790,798,812,818,824,831,847,853,863,872,879,885,891,901,916,924,933,940,950,956,967,973,981,987,1000,1008,1015,1026,1030,1044,1045,1058,1066,1076,1084,1094,1100,1112,1118,1126,1132,1139,1148,1162,1168,1176	0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,14,24,32,41,44,57,65,71,77,89,102,105,115,125,128,144,148,153,165,178,182,324,332,336,350,356,368,377,384,388,403,406,412,426,432,438,596,607,612,626,633,641,644,659,665,676,682,691,695,709,714,724,731,745,752,759,766,780,786,789,803,811,814,824,839,844,851,861,872,881,884,898,901,912,918,929,941,948,957,960,973,982,989,1001,1003,1013,1019,1036,1039,1051,1058,1066,1071,1085,1093,1096,1107,1117,1129,1134,1139,1155,1163,1171	1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
3,13,20,27,39,49,53,60,68,82,92,96,109,113,123,132,140,150,159,163,171,183,319,333,336,348,353,366,376,379,391,399,408,415,427,436,445,597,605,614,623,631,636,648,660,665,677,680,687,696,706,718,725,731,741,747,756,768,774,787,788,805,810,818,827,836,845,852,862,872,874,886,898,903,916,919,932,940,945,954,963,968,982,988,994,1010,1016,1020,1031,1041,1047,1054,1064,1072,1084,1092,1098,1110,1119,1125,1131,1142,1150,1162,1171	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,22,27,40,46,59,68,71,78,91,101,106,113,126,130,136,151,156,169,171,314,323,332,336,350,355,368,372,378,394,399,404,414,428,435,445,465,601,612,622,631,641,651,660,661,674,684,692,696,705,716,728,730,739,746,762,769,776,785,791,800,806,819,826,837,843,850,865,869,879,888,894,907,913,919,930,938,950,951,959,968,979,987,995,1009,1019,1025,1030,1038,1051,1053,1062,1072,1085,1094,1099,1111,1120,1124,1130,1143,1152,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,29,34,50,51,60,75,78,89,100,103,111,122,129,142,150,156,162,177,313,325,334,342,347,360,362,373,385,387,396,408,414,422,434,439,596,602,611,621,627,637,645,655,662,677,678,690,696,706,712,728,731,737,747,758,768,772,782,791,802,810,819,825,837,846,852,863,870,874,885,891,900,916,921,928,939,949,959,965,971,979,992,995,1005,1017,1025,1032,1037,1049,1060,1064,1071,1085,1088,1101,1110,1118,1128,1133,1142,1149,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
1,11,25,32,38,46,53,67,74,79,87,95,110,111,121,128,137,150,159,164,179,180,326,327,342,350,355,367,370,383,387,399,405,416,425,429,446,597,606,615,622,633,638,651,658,667,676,679,689,702,708,713,724,737,742,754,760,766,775,784,791,804,809,815,830,834,846,848,860,866,882,891,894,907,915,920,932,934,947,957,961,971,982,987,994,1005,1016,1024,1036,1038,1049,1059,1069,1076,1084,1089,1104,1107,1115,1126,1131,1143,1148,1162,1170,1174	0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1
5,9,20,28,38,48,53,66,74,84,85,95,102,119,121,130,137,152,157,165,178,182,321,333,343,348,356,363,370,379,390,398,408,417,423,435,442,467,601,613,622,634,642,646,659,661,676,679,688,697,704,716,722,735,740,750,762,769,778,783,794,802,809,820,824,833,843,855,859,870,880,887,894,905,915,918,930,934,944,952,967,970,983,991,996,1009,1012,1024,1036,1038,1053,1057,1067,1076,1081,1093,1101,1109,1119,1124,1135,1146,1153,1158,1164	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,11,25,32,36,49,52,62,74,81,86,97,106,112,125,131,137,150,158,169,175,187,325,333,337,350,358,369,373,379,387,397,404,418,425,432,446,600,606,611,623,631,638,648,653,662,669,683,688,695,711,714,727,729,738,748,754,770,777,787,789,802,813,821,831,838,844,854,857,871,880,890,894,904,914,917,928,939,947,954,964,973,980,991,994,1006,1014,1023,1028,1044,1052,1062,1069,1075,1087,1090,1099,1110,1118,1127,1131,1145,1151,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,16,17,31,41,47,57,67,72,84,88,100,106,117,121,128,141,152,154,169,174,183,322,332,341,348,356,368,375,383,392,399,405,412,423,437,442,600,609,615,619,635,643,647,654,665,675,684,690,700,706,716,727,734,743,750,758,769,772,782,793,797,806,816,827,835,844,855,860,868,879,889,892,906,910,917,930,940,944,957,964,970,981,985,999,1010,1015,1020,1029,1036,1050,1060,1070,1072,1080,1091,1102,1106,1115,1128,1137,1139,1154,1157,1172	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,21,29,34,46,58,64,70,82,91,99,110,117,124,129,144,147,158,163,176,181,323,335,343,352,356,368,374,380,393,399,409,419,424,437,438,599,606,616,619,634,640,650,655,662,673,679,689,701,709,715,728,736,737,749,759,767,776,780,793,802,811,822,830,833,846,856,862,870,882,887,892,899,916,923,927,936,945,951,963,973,983,993,997,1006,1012,1023,1029,1042,1050,1055,1069,1078,1085,1094,1102,1108,1114,1129,1131,1144,1152,1163,1172	0,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,24,28,34,49,59,65,73,77,90,94,109,118,122,132,141,152,158,170,172,317,323,332,342,350,353,361,372,381,394,399,407,415,422,433,440,600,601,611,624,630,641,644,655,663,675,681,693,697,704,718,722,731,740,748,759,766,776,781,790,801,812,814,829,837,842,851,863,867,879,883,897,906,914,925,931,938,944,953,967,975,979,986,994,1006,1013,1019,1028,1037,1046,1060,1068,1071,1082,1088,1104,1112,1121,1126,1136,1143,1151,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,25,30,41,49,53,59,72,80,91,97,105,118,126,130,143,147,155,164,177,316,325,329,335,348,353,367,374,381,392,403,410,414,428,435,445,600,601,617,625,628,642,644,658,661,671,685,688,698,707,717,728,735,745,754,760,770,774,787,797,798,814,817,827,835,844,854,859,868,877,885,892,904,912,925,926,935,943,951,961,976,979,991,1001,1004,1013,1020,1035,1042,1046,1061,1062,1073,1079,1093,1096,1111,1115,1122,1131,1145,1148,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,28,39,43,53,65,74,81,87,101,104,112,120,135,144,145,158,169,178,317,321,330,340,347,354,367,370,382,389,401,408,413,424,431,444,458,602,616,619,626,642,644,659,661,669,680,686,702,711,717,725,732,744,753,758,767,772,786,792,797,810,820,823,832,844,855,857,870,874,890,896,901,915,917,925,939,946,955,960,975,979,985,998,1009,1016,1025,1035,1043,1051,1062,1066,1076,1086,1089,1098,1112,1118,1124,1136,1141,1154,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,31,38,44,53,67,70,82,85,95,110,111,125,135,144,150,159,163,176,317,324,327,336,345,353,368,370,378,392,396,405,419,428,434,441,597,604,609,624,630,641,647,656,667,670,683,689,700,709,712,726,733,740,746,758,763,773,787,789,801,806,819,827,831,840,854,861,866,877,883,895,900,908,923,925,937,945,956,962,971,977,986,1000,1007,1014,1024,1032,1039,1053,1060,1067,1078,1081,1093,1104,1105,1120,1123,1138,1143,1155,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,27,38,47,57,67,73,85,93,95,104,112,120,136,137,147,157,168,177,314,323,333,343,349,357,361,370,379,389,396,410,416,421,431,442,597,607,614,621,631,640,645,655,668,675,683,694,698,706,717,723,729,744,753,755,770,773,781,789,804,813,822,830,833,843,854,858,870,875,886,898,907,916,924,932,935,945,951,961,974,982,987,998,1008,1017,1019,1034,1042,1052,1054,1063,1071,1080,1088,1096,1106,1119,1125,1131,1144,1149,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,26,41,48,58,64,71,80,93,94,104,113,124,131,143,153,160,165,177,317,324,330,342,349,357,363,377,378,390,403,405,418,422,430,446,452,605,614,624,633,635,643,654,662,675,685,690,698,706,715,727,729,745,748,759,764,775,785,795,800,808,815,830,835,841,849,857,868,878,886,898,907,916,923,933,934,945,954,966,968,981,989,1000,1010,1014,1023,1033,1044,1047,1061,1070,1077,1079,1089,1100,1106,1118,1122,1130,1140,1155,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,33,40,44,58,65,71,78,86,97,103,117,120,129,141,150,159,162,178,316,322,328,336,350,358,366,373,379,387,395,405,417,423,430,445,467,608,613,618,630,641,647,659,664,675,685,688,700,706,714,728,732,738,752,756,764,776,785,796,804,814,817,828,838,847,849,863,869,879,887,894,901,910,922,928,938,950,951,961,976,984,985,995,1003,1016,1020,1035,1042,1047,1056,1069,1075,1087,1095,1097,1109,1118,1128,1133,1143,1155,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,27,40,46,59,60,70,78,87,98,103,117,125,132,140,152,155,169,173,316,320,335,343,345,358,362,373,382,392,400,409,413,429,432,441,600,601,616,625,629,639,647,653,665,670,684,691,698,707,719,727,736,739,747,755,771,774,781,793,798,808,821,824,835,846,853,858,868,879,891,896,904,914,918,925,940,944,952,964,974,977,991,998,1009,1013,1021,1033,1041,1052,1055,1063,1072,1085,1093,1099,1106,1116,1127,1135,1146,1147,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,27,42,46,53,67,75,78,87,97,107,117,127,133,144,150,161,169,177,180,320,332,336,344,353,362,375,382,390,395,411,420,426,429,437,598,604,612,623,629,636,648,652,661,670,685,689,695,707,717,727,729,745,752,762,769,780,785,792,803,806,819,825,831,843,854,861,871,877,885,894,905,910,919,928,937,944,954,961,971,976,991,1001,1009,1012,1020,1031,1040,1045,1059,1065,1077,1080,1091,1103,1113,1116,1126,1136,1140,1149,1157,1172,1173	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,25,32,42,43,53,60,69,78,89,100,109,114,123,135,144,145,153,168,177,317,325,333,341,348,357,366,371,380,391,395,408,418,420,434,442,459,602,615,626,630,641,643,655,665,676,684,689,700,707,713,727,735,744,753,755,763,779,783,788,804,807,821,826,834,847,850,858,866,880,884,894,906,908,923,933,938,948,953,968,975,976,992,998,1009,1015,1020,1032,1040,1047,1058,1066,1073,1079,1090,1097,1108,1116,1126,1134,1139,1151,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,30,38,46,55,63,71,80,90,98,110,113,121,128,143,147,157,162,171,314,325,329,343,347,353,361,377,381,392,399,405,416,427,429,440,597,606,616,620,627,638,649,656,667,671,682,690,700,711,717,726,734,738,753,761,763,772,782,790,803,807,819,827,832,848,853,862,870,877,884,891,902,911,917,931,934,945,956,963,975,980,988,998,1004,1014,1020,1030,1037,1049,1057,1068,1077,1084,1090,1100,1105,1114,1130,1135,1147,1151,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,28,37,51,54,68,74,77,90,96,109,118,122,133,142,152,157,166,171,317,324,327,342,350,353,368,377,384,387,398,405,413,423,433,443,600,609,611,620,634,636,650,654,660,669,686,687,696,707,719,727,729,743,747,760,763,775,787,793,802,806,818,823,838,847,851,864,865,877,884,894,905,915,920,930,934,948,951,965,976,982,985,997,1003,1017,1025,1028,1042,1051,1058,1068,1074,1087,1094,1097,1111,1116,1122,1137,1145,1155,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,30,38,47,53,67,74,80,92,99,110,118,127,131,143,148,162,166,176,315,320,331,339,345,357,364,371,385,394,397,407,415,427,436,445,455,605,616,624,633,635,647,656,667,675,680,687,701,711,713,722,735,746,748,760,767,777,786,788,801,807,814,830,834,842,855,861,872,879,889,899,901,911,925,931,941,950,952,963,973,980,993,998,1007,1017,1022,1032,1043,1050,1061,1068,1073,1079,1095,1102,1106,1119,1129,1138,1147,1149,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,30,37,48,55,63,76,80,88,97,106,114,120,129,143,149,156,170,177,190,322,326,338,347,358,368,372,385,391,396,405,418,422,432,444,596,605,609,625,634,637,644,660,665,675,683,691,698,709,715,724,733,740,746,759,768,775,780,796,797,808,821,829,836,845,855,863,868,877,890,897,902,914,924,930,936,946,954,960,970,977,989,998,1004,1013,1024,1028,1044,1046,1055,1062,1073,1086,1089,1100,1104,1116,1128,1133,1142,1154,1160,1165,1173	1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
3,15,20,25,37,46,54,68,71,78,86,95,108,116,126,132,144,152,155,166,176,318,322,332,342,351,354,364,369,378,392,401,410,416,428,434,445,451,606,611,620,633,638,644,660,669,674,685,692,698,710,713,722,736,744,748,757,771,778,785,793,801,808,819,823,832,843,856,864,873,876,887,892,904,909,916,928,937,946,957,963,976,984,987,997,1003,1011,1020,1029,1043,1053,1054,1068,1073,1084,1087,1101,1109,1121,1124,1138,1141,1149,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,29,34,49,55,62,68,84,92,102,109,118,124,131,143,147,158,164,176,314,320,335,339,346,353,365,370,382,388,399,408,416,425,435,444,599,605,616,622,628,639,644,657,663,670,679,688,702,710,717,728,736,738,747,758,767,775,787,792,798,809,821,825,837,845,849,857,865,879,886,891,901,909,923,928,940,944,957,961,968,979,990,1001,1003,1016,1021,1028,1043,1045,1060,1067,1078,1079,1092,1104,1108,1117,1122,1130,1146,1151,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,33,34,50,56,61,73,82,85,94,105,117,122,128,145,148,159,163,177,314,322,334,342,346,353,367,370,379,386,400,405,415,423,431,438,466,604,610,625,631,637,646,659,662,674,680,692,696,708,712,722,731,737,748,762,768,778,787,792,805,806,822,827,833,843,848,858,871,877,885,893,905,913,917,931,934,947,952,966,972,983,989,999,1010,1013,1024,1031,1038,1051,1061,1067,1075,1082,1092,1103,1108,1116,1130,1132,1140,1148,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,33,40,49,51,61,69,81,86,101,106,116,125,129,139,148,161,167,178,315,318,333,341,344,353,366,375,384,387,397,412,419,423,431,438,469,607,611,624,628,641,649,655,667,677,681,688,695,704,715,723,736,738,754,758,769,775,786,793,797,808,818,824,838,848,851,857,868,878,888,897,902,911,919,930,939,945,955,959,973,981,992,995,1007,1013,1023,1028,1042,1048,1057,1068,1073,1083,1091,1100,1111,1120,1123,1132,1139,1152,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,27,37,45,52,61,72,84,93,100,103,116,122,135,139,146,154,166,177,316,325,331,340,348,354,366,371,384,390,398,412,415,421,435,440,458,606,611,618,633,635,650,653,665,669,683,693,701,709,716,722,729,743,749,759,769,773,783,796,797,806,818,826,837,845,855,859,865,877,889,899,904,916,923,931,936,943,955,964,970,981,992,1001,1003,1018,1023,1028,1037,1052,1059,1064,1072,1081,1088,1101,1107,1116,1122,1134,1142,1149,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,30,42,45,59,65,74,83,89,97,110,115,122,133,137,149,159,163,171,315,319,330,343,348,358,362,376,381,392,396,411,415,425,433,439,596,609,614,618,631,642,645,654,667,675,684,687,698,706,718,727,737,745,751,757,769,773,787,790,800,807,819,826,835,848,849,863,871,878,888,898,902,911,923,932,938,947,959,965,975,977,993,994,1006,1016,1020,1033,1037,1046,1057,1069,1073,1082,1094,1103,1110,1120,1124,1135,1142,1152,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,28,34,50,58,63,74,80,86,97,107,112,124,132,137,147,158,167,171,315,326,328,335,347,353,368,372,380,393,403,405,413,422,436,440,597,605,616,623,635,638,651,660,662,671,680,687,700,703,715,721,731,739,748,759,767,773,787,792,799,812,815,830,834,845,856,858,867,874,889,892,905,914,920,933,939,950,954,963,968,978,985,996,1005,1014,1020,1034,1042,1046,1060,1069,1078,1079,1091,1102,1104,1116,1125,1135,1143,1152,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,28,37,46,57,60,72,81,86,101,109,118,124,128,139,149,155,166,173,313,319,333,335,351,355,367,370,380,389,401,410,415,422,433,444,598,605,612,619,632,643,651,654,668,671,684,690,696,703,714,728,736,744,748,755,765,773,782,793,802,809,815,828,839,843,852,863,867,875,886,894,902,912,923,927,937,950,957,967,971,984,986,994,1007,1017,1024,1032,1037,1048,1054,1063,1071,1086,1090,1103,1108,1120,1122,1137,1141,1153,1164,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,27,40,46,57,67,72,80,92,101,110,118,122,129,139,145,153,165,178,313,326,334,336,349,354,364,377,382,394,402,409,415,428,436,440,456,605,615,619,629,635,651,656,662,671,679,690,699,706,715,725,735,745,746,761,767,777,786,795,799,808,818,825,833,847,850,865,867,882,889,896,905,915,922,926,940,946,953,967,976,977,988,998,1010,1011,1023,1028,1038,1048,1056,1068,1073,1080,1095,1100,1112,1120,1126,1133,1145,1148,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,26,39,48,55,67,69,84,89,95,102,111,119,132,140,150,158,164,176,318,319,328,341,350,359,361,375,385,386,400,411,420,425,435,440,596,602,611,623,633,641,647,652,662,674,678,687,703,706,717,727,733,740,749,756,765,778,780,793,805,811,815,829,838,847,855,862,871,876,887,895,908,912,924,926,938,945,952,960,973,977,988,995,1010,1018,1021,1035,1037,1049,1059,1063,1078,1079,1089,1097,1110,1120,1128,1136,1140,1147,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,28,34,45,57,66,74,82,92,102,105,112,122,132,143,146,161,166,172,316,320,333,340,352,357,361,373,379,391,396,408,420,426,431,440,596,604,610,618,634,640,648,654,661,674,678,692,698,703,712,727,735,740,754,762,763,778,785,794,799,810,819,823,837,845,854,862,870,882,891,893,904,916,925,931,939,947,955,963,976,984,993,999,1009,1018,1027,1031,1040,1049,1059,1063,1073,1083,1093,1098,1111,1115,1124,1130,1139,1152,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,17,33,41,44,54,63,75,82,89,101,105,119,123,133,141,150,156,166,177,317,326,331,343,345,357,364,372,379,393,399,407,415,425,436,442,598,603,615,623,633,642,648,659,661,671,681,687,701,707,718,728,736,739,748,760,769,773,787,795,803,812,815,825,836,847,856,862,871,878,889,892,905,911,918,927,936,945,953,961,975,979,989,995,1004,1011,1024,1034,1041,1047,1061,1065,1078,1084,1093,1097,1108,1113,1127,1136,1146,1153,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,29,35,48,58,59,69,81,90,96,109,114,127,134,141,151,155,162,176,183,326,328,339,352,357,361,369,385,390,401,409,415,427,436,441,466,605,611,619,626,637,646,654,665,669,678,687,697,705,720,724,736,740,748,758,769,771,787,796,803,810,817,830,833,842,856,861,869,880,884,897,908,911,923,933,934,947,958,959,970,982,989,1001,1002,1015,1027,1028,1043,1051,1056,1068,1077,1083,1091,1096,1109,1113,1125,1135,1144,1150,1160,1164,1175	1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,23,33,39,45,56,65,76,85,93,94,109,116,124,128,138,149,159,168,174,316,325,331,340,348,352,368,375,382,394,403,406,418,423,432,442,471,605,609,626,631,639,651,659,660,670,682,688,697,703,716,729,735,744,752,756,770,772,786,792,802,806,816,828,839,842,853,865,871,879,885,898,906,915,921,929,937,945,956,960,972,979,985,1001,1008,1017,1022,1033,1040,1051,1059,1066,1072,1086,1093,1103,1112,1121,1126,1134,1141,1155,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,18,31,35,48,58,65,70,84,91,99,103,114,125,129,139,146,154,166,173,185,321,331,343,351,353,363,377,378,389,400,412,419,425,431,438,458,605,610,625,626,638,650,654,666,673,683,686,700,705,716,722,732,739,749,758,768,777,784,796,802,812,814,828,836,842,854,858,871,878,884,896,899,914,919,933,938,945,954,962,975,978,990,999,1005,1018,1019,1031,1039,1047,1059,1066,1076,1080,1091,1103,1112,1115,1126,1138,1147,1155,1162,1169,1177	1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,18,31,37,43,51,63,69,79,90,95,109,118,127,133,136,150,161,167,171,180,322,327,335,345,359,362,376,382,390,401,410,418,422,435,444,597,606,612,621,630,643,648,657,665,672,683,686,701,709,712,726,735,738,750,755,770,780,788,795,804,812,819,830,833,841,849,858,868,874,882,895,901,908,923,930,941,947,952,967,968,985,989,999,1007,1015,1020,1031,1039,1051,1061,1068,1078,1084,1092,1101,1105,1116,1122,1136,1142,1149,1158,1167,1176	1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,17,25,36,47,52,64,74,78,93,102,110,118,123,132,137,151,156,166,178,196,324,333,343,349,357,368,374,379,386,398,404,420,424,434,440,598,608,610,623,630,638,651,658,663,676,685,693,702,703,720,723,734,741,752,761,769,773,784,794,802,807,814,829,834,843,856,865,874,878,889,892,902,908,923,929,940,948,952,967,968,984,987,1001,1006,1017,1023,1034,1039,1049,1058,1069,1078,1084,1094,1103,1105,1120,1130,1135,1139,1155,1158,1165,1176	1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,22,32,36,44,53,65,72,80,93,96,103,112,127,130,141,147,157,165,174,185,321,333,340,349,359,361,372,383,387,400,407,413,424,434,446,463,604,615,625,633,643,650,656,666,672,684,693,695,706,719,728,732,738,751,762,764,780,781,795,798,813,820,822,833,844,853,857,871,879,890,897,900,915,923,933,938,949,958,963,976,984,990,1002,1003,1011,1021,1029,1037,1046,1054,1069,1076,1083,1090,1099,1106,1114,1124,1134,1141,1147,1159,1170,1173	1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
4,9,18,28,40,44,52,67,69,82,93,98,102,116,120,134,143,148,158,166,176,180,325,327,342,344,352,364,375,383,392,398,407,419,424,432,438,461,606,613,625,633,635,644,653,665,675,681,687,699,711,712,725,731,738,750,757,768,777,786,790,798,808,814,830,839,840,854,860,869,879,890,898,907,911,917,932,941,946,957,964,969,980,987,1001,1006,1016,1020,1033,1043,1047,1061,1067,1076,1082,1094,1098,1110,1113,1130,1138,1147,1152,1164,1167,1173	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,23,32,38,50,57,67,75,82,92,96,105,116,123,136,137,148,159,167,171,182,324,334,338,345,358,367,372,383,386,402,410,420,422,434,446,596,604,614,623,627,635,649,659,663,674,680,691,698,705,719,726,735,743,746,757,768,778,781,790,805,807,817,826,833,848,857,861,868,876,887,893,901,911,924,930,940,946,952,963,969,977,988,998,1010,1015,1020,1029,1037,1050,1057,1064,1072,1087,1092,1096,1106,1116,1124,1131,1140,1150,1157,1164	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,22,25,36,45,52,63,74,77,87,95,108,114,120,134,137,153,155,163,178,317,318,329,339,345,360,364,370,381,390,397,406,418,425,430,441,598,603,616,623,633,636,646,660,666,675,685,691,699,704,713,724,732,738,751,756,764,777,785,792,805,811,820,831,835,845,854,862,867,874,882,894,902,913,924,926,940,942,955,961,969,977,989,993,1005,1012,1023,1030,1037,1052,1058,1068,1073,1083,1093,1103,1110,1121,1122,1132,1140,1151,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,29,41,45,53,61,70,84,87,97,105,117,119,132,142,148,158,162,172,182,321,331,335,349,355,367,373,382,394,395,411,414,426,435,443,448,604,613,620,629,639,651,653,665,675,684,690,697,711,712,722,731,744,747,761,764,773,786,789,803,809,822,829,837,847,855,857,873,878,885,897,905,912,923,929,938,950,959,967,973,979,993,996,1003,1012,1020,1031,1037,1045,1061,1065,1073,1081,1093,1102,1111,1115,1122,1134,1139,1152,1157,1165	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,11,23,26,35,49,53,62,69,81,92,102,106,115,121,133,136,149,159,169,171,180,319,334,342,350,357,362,375,378,393,400,404,417,429,436,441,454,603,616,621,629,642,649,654,661,673,682,693,695,704,713,721,732,739,751,758,763,776,782,795,799,812,818,829,832,840,855,864,870,881,885,896,903,908,918,925,941,944,959,962,970,978,985,1001,1002,1018,1021,1035,1042,1045,1054,1067,1073,1087,1095,1100,1108,1119,1123,1137,1144,1154,1157,1167,1175	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,24,30,39,50,53,65,72,81,93,101,105,114,120,128,142,151,153,170,173,184,322,329,336,349,355,365,372,384,390,397,409,420,426,432,445,597,603,615,625,627,641,643,654,660,676,682,689,702,707,716,724,732,745,752,762,765,779,780,790,799,809,822,824,834,842,856,858,865,876,887,898,901,913,917,928,940,949,957,963,972,978,989,996,1009,1011,1023,1033,1044,1051,1056,1070,1077,1082,1088,1098,1105,1120,1126,1132,1144,1151,1157,1165,1176	0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,21,29,38,44,58,61,73,83,86,98,110,112,121,135,140,152,154,169,176,198,320,330,341,352,354,364,370,379,388,396,407,415,428,434,440,598,602,611,620,627,641,646,660,661,676,679,691,696,706,715,723,730,739,746,758,770,778,784,790,802,806,815,828,834,847,852,859,865,878,890,894,906,908,917,931,940,945,958,963,972,982,992,997,1003,1013,1026,1033,1041,1048,1059,1066,1075,1079,1095,1099,1108,1121,1127,1133,1142,1150,1159,1167,1175	1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,18,31,35,48,58,59,72,84,88,101,110,113,123,130,140,149,158,167,172,180,323,327,335,344,355,369,373,383,393,402,410,414,424,433,444,596,605,612,622,629,640,645,655,663,671,678,686,699,711,714,726,731,738,749,759,767,776,785,796,797,810,820,829,831,844,848,861,873,880,884,895,902,915,922,925,941,944,957,959,973,982,991,1000,1002,1018,1026,1029,1041,1045,1060,1068,1078,1083,1092,1104,1107,1117,1123,1136,1147,1150,1164,1168	0,1,0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
2,9,18,25,34,45,53,61,71,83,86,101,103,113,122,129,136,150,156,164,172,179,326,331,336,351,360,368,376,383,387,401,403,419,427,436,441,598,601,610,623,630,636,649,656,666,674,678,690,695,706,717,722,731,738,751,755,765,777,786,792,800,813,816,823,834,843,856,859,866,880,885,895,903,909,919,925,941,948,957,967,976,980,990,998,1010,1015,1021,1028,1042,1052,1055,1063,1078,1085,1087,1097,1113,1119,1123,1138,1143,1152,1162,1169,1177	1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,23,29,34,46,53,59,76,80,87,99,107,113,127,130,143,145,155,167,176,317,323,335,338,349,352,368,370,383,392,403,409,416,423,433,442,600,609,617,625,634,635,643,657,667,675,683,688,698,711,712,723,731,739,754,762,768,775,788,790,804,811,819,825,832,842,848,858,874,879,887,891,904,914,922,931,939,942,955,960,974,984,988,1001,1008,1011,1025,1028,1036,1050,1053,1064,1077,1086,1090,1103,1108,1113,1129,1138,1144,1151,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,27,40,46,56,63,73,82,89,95,107,112,127,131,141,151,159,163,173,316,320,331,339,349,354,366,371,379,389,396,404,414,423,434,446,467,605,614,623,633,641,647,660,668,673,680,693,698,705,717,722,730,737,749,759,764,772,788,794,799,812,815,829,833,848,853,864,868,882,890,894,904,912,923,927,938,947,958,966,968,983,986,998,1007,1015,1026,1031,1044,1049,1057,1067,1075,1085,1092,1097,1111,1117,1128,1132,1140,1154,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,31,41,51,56,67,74,78,92,102,104,118,119,128,137,150,159,165,173,316,318,328,342,344,353,367,377,379,393,403,407,413,423,435,440,596,602,614,620,627,638,650,659,667,673,684,693,697,709,713,723,735,739,746,762,769,776,786,791,804,813,818,824,831,842,855,857,868,877,886,892,903,910,923,925,942,946,956,962,975,977,988,999,1010,1013,1027,1033,1044,1047,1058,1062,1073,1086,1090,1102,1106,1114,1126,1134,1143,1152,1156,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,24,31,40,44,54,60,70,83,91,101,105,117,122,132,144,147,159,165,179,314,325,335,341,349,353,365,376,378,391,399,407,416,426,430,438,599,602,611,623,634,635,652,660,665,676,679,692,698,704,717,724,730,740,747,759,766,780,786,790,803,808,818,823,834,844,852,861,867,880,884,891,902,915,920,928,938,942,958,963,972,983,992,999,1009,1012,1026,1032,1039,1050,1057,1064,1078,1082,1089,1096,1110,1119,1124,1136,1145,1149,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,30,36,48,58,67,75,82,91,96,103,114,123,136,140,147,157,166,175,316,326,332,340,348,359,362,375,381,390,403,406,414,427,434,444,460,604,611,626,628,639,647,653,664,672,680,690,698,706,717,725,733,738,746,761,770,776,782,796,804,810,821,828,832,841,856,865,866,877,885,895,900,916,918,932,934,945,958,965,974,981,986,996,1006,1015,1020,1034,1037,1048,1054,1064,1074,1085,1090,1099,1110,1120,1127,1133,1139,1148,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,32,41,46,54,65,72,83,85,101,104,114,120,133,137,149,162,167,178,313,318,328,335,351,356,369,370,379,390,398,407,416,426,436,439,599,602,614,623,626,642,649,658,662,675,680,692,695,709,719,723,736,741,749,760,769,775,782,790,804,812,818,831,834,843,849,861,872,878,883,899,904,915,917,930,935,950,957,967,972,976,987,996,1010,1016,1022,1029,1044,1049,1061,1064,1077,1081,1093,1103,1106,1121,1124,1135,1144,1149,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,32,36,48,52,61,75,83,90,95,104,118,124,134,137,153,157,168,177,314,323,329,337,351,353,362,371,379,394,395,409,414,428,435,446,598,607,614,625,627,636,648,655,665,669,683,689,698,710,715,726,730,740,750,756,766,773,788,791,802,814,821,823,833,845,851,859,873,875,890,897,906,911,918,930,936,943,959,960,972,982,988,997,1009,1015,1024,1029,1040,1050,1054,1069,1071,1082,1092,1103,1107,1114,1127,1136,1139,1152,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,26,39,45,53,60,76,82,86,97,110,116,119,130,143,149,160,167,175,317,324,331,340,351,359,362,373,381,392,402,410,414,426,431,443,466,605,612,618,632,641,647,655,663,673,683,688,695,707,711,726,733,744,747,755,769,777,783,794,798,809,820,827,832,844,852,858,868,875,884,899,906,912,919,926,934,943,955,962,968,977,991,997,1008,1012,1023,1031,1037,1048,1059,1062,1075,1084,1090,1104,1108,1120,1123,1135,1146,1154,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,23,31,40,47,52,61,69,85,90,101,108,117,126,134,137,153,157,166,172,182,326,330,341,345,357,367,373,381,388,395,409,418,425,432,440,598,603,612,619,630,640,650,659,662,676,681,694,703,706,716,721,729,741,751,755,769,776,784,793,798,812,819,830,838,843,853,863,873,881,886,894,905,909,918,932,939,948,954,960,972,984,987,1001,1007,1013,1023,1031,1039,1050,1054,1069,1074,1082,1090,1103,1106,1120,1126,1137,1141,1154,1158,1170	1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,22,27,39,44,55,62,76,83,87,95,103,116,120,132,143,151,156,163,177,318,319,334,337,345,352,362,376,382,389,401,408,415,424,433,443,597,606,613,625,629,642,648,654,667,675,684,687,698,705,713,724,733,739,754,763,768,777,785,796,798,807,816,831,839,845,854,858,866,877,883,892,901,914,924,925,940,950,955,964,970,978,990,997,1004,1019,1021,1031,1037,1047,1061,1065,1077,1081,1095,1097,1110,1118,1124,1131,1139,1152,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,19,28,40,45,53,67,69,80,93,97,106,114,119,134,139,151,155,166,178,317,318,330,340,344,360,367,375,381,389,396,409,414,424,429,444,597,605,613,619,633,637,647,659,661,669,682,693,700,703,719,722,736,740,749,759,765,772,785,793,802,806,822,827,836,845,855,857,867,877,889,894,903,912,921,926,934,944,957,959,969,979,991,1001,1003,1012,1020,1029,1037,1046,1058,1068,1076,1086,1094,1104,1108,1119,1125,1131,1140,1154,1164,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,32,40,50,56,62,73,82,93,95,106,115,124,131,137,150,155,165,172,317,326,327,343,348,358,362,372,385,390,396,404,418,428,437,445,596,604,615,622,634,636,649,657,666,670,680,686,699,706,715,722,737,745,749,755,767,774,788,794,800,813,820,823,836,845,856,860,868,878,886,896,904,914,923,932,938,948,955,966,974,977,986,1000,1005,1017,1021,1032,1039,1047,1058,1069,1073,1086,1095,1101,1105,1118,1127,1130,1146,1153,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,17,26,34,46,59,65,73,80,85,98,109,111,121,130,141,151,155,168,173,314,324,332,340,350,360,368,376,378,391,402,411,412,423,435,440,466,608,615,623,627,636,647,657,669,673,682,686,695,705,716,724,737,741,753,762,764,775,785,792,798,813,820,828,831,845,849,860,870,880,882,897,907,909,920,928,942,947,957,965,972,982,990,994,1005,1017,1021,1034,1044,1045,1058,1064,1071,1081,1091,1101,1104,1120,1128,1133,1145,1155,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,17,18,29,38,43,57,64,73,83,90,93,103,119,123,135,138,150,159,166,177,186,324,330,342,345,353,362,373,381,392,400,405,416,421,432,444,466,608,613,625,627,643,646,653,664,673,681,692,703,711,716,724,729,744,752,758,768,776,782,792,797,813,816,829,838,847,851,858,871,881,885,897,904,912,920,932,937,946,951,961,969,980,990,1000,1010,1018,1026,1033,1043,1050,1056,1066,1076,1080,1091,1100,1106,1116,1125,1138,1141,1155,1159,1168,1177	0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,21,25,37,45,52,66,73,84,92,97,104,116,122,132,144,151,160,168,170,314,324,332,337,347,352,365,372,379,388,402,410,416,426,429,443,598,609,614,620,630,640,649,654,661,672,686,692,696,708,715,722,736,738,746,760,768,775,781,789,804,812,820,824,836,843,855,859,867,878,886,894,901,916,922,933,935,943,951,962,971,983,986,997,1003,1013,1022,1034,1037,1051,1054,1067,1070,1085,1093,1101,1111,1116,1125,1134,1139,1152,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,18,29,42,46,52,60,74,78,92,100,105,113,127,129,137,153,157,165,175,315,320,329,336,344,358,365,370,381,388,400,406,419,428,436,445,465,608,610,621,627,636,646,660,666,670,679,693,698,703,712,721,730,739,751,760,764,773,787,791,801,813,816,823,836,845,854,860,870,878,890,892,906,916,923,927,936,945,955,964,970,982,993,999,1002,1016,1020,1028,1040,1051,1056,1068,1076,1082,1092,1100,1105,1116,1126,1134,1144,1152,1164,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,32,36,45,55,65,68,84,89,94,105,117,127,130,143,152,160,163,174,315,320,334,337,345,360,363,377,381,391,403,410,414,423,430,444,598,606,617,626,630,637,645,659,668,676,679,691,696,711,713,724,733,743,752,759,771,773,782,794,800,810,818,825,834,848,854,863,873,881,885,894,906,914,923,925,935,946,957,962,973,982,989,1001,1010,1013,1019,1031,1043,1048,1061,1068,1075,1083,1090,1099,1104,1116,1122,1137,1141,1152,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,29,41,49,58,66,68,84,91,98,110,118,119,129,140,152,154,163,177,314,324,332,337,346,357,363,377,381,390,403,406,412,426,434,441,600,604,616,620,626,641,645,657,666,676,678,686,698,711,718,721,729,739,751,760,767,773,782,791,803,806,815,830,835,844,853,864,870,882,889,891,906,914,918,928,938,944,951,967,973,978,990,994,1003,1015,1026,1029,1036,1052,1055,1065,1076,1084,1093,1101,1113,1115,1129,1137,1141,1151,1163,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,29,35,42,55,64,71,78,92,101,102,118,126,136,138,146,157,162,172,317,319,328,340,347,355,366,373,381,388,400,409,420,427,437,438,459,603,611,623,629,636,649,656,667,669,681,690,697,711,714,720,731,744,746,760,770,773,782,789,799,806,814,830,831,840,848,858,870,881,884,893,900,914,923,928,937,942,959,966,972,985,991,995,1010,1015,1023,1030,1038,1047,1053,1063,1079,1086,1091,1096,1108,1119,1125,1137,1139,1154,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,19,33,37,50,55,64,70,82,90,97,107,111,119,131,142,145,155,164,174,313,322,330,343,347,359,366,375,385,390,399,406,413,424,430,446,600,602,613,619,631,639,649,659,666,674,684,687,697,706,719,722,733,741,749,758,767,778,787,792,798,810,821,828,833,841,857,861,868,875,886,894,902,911,917,929,935,950,957,964,969,980,988,999,1008,1012,1020,1031,1041,1047,1057,1063,1075,1084,1094,1099,1105,1114,1122,1131,1146,1155,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,33,37,47,58,60,68,78,86,95,109,112,120,128,140,146,157,165,171,314,324,331,342,345,360,361,373,380,388,401,406,418,428,435,439,596,607,611,623,634,638,646,655,662,677,681,694,703,704,712,725,733,745,749,756,768,774,783,795,802,807,819,824,832,845,851,860,873,882,889,894,907,912,918,931,940,944,956,963,971,981,986,999,1009,1016,1026,1029,1041,1047,1060,1062,1071,1087,1089,1099,1107,1120,1124,1135,1147,1155,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,18,34,35,50,53,64,68,78,86,95,104,117,127,135,143,153,159,163,172,313,321,329,341,345,356,361,371,384,390,397,405,419,427,432,443,463,608,610,624,632,638,646,652,669,671,677,694,701,707,714,727,737,744,752,761,766,778,784,794,804,813,815,830,839,845,852,862,873,874,887,895,902,912,924,927,942,951,953,961,970,980,989,1001,1002,1011,1027,1032,1040,1048,1058,1067,1078,1085,1094,1097,1104,1114,1129,1138,1144,1151,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,28,40,48,53,67,72,85,93,99,107,114,123,130,142,153,160,164,172,317,324,330,343,349,357,368,369,385,393,400,408,413,423,432,438,466,602,617,623,634,643,650,658,664,677,678,689,699,709,717,723,735,740,750,760,764,775,782,793,797,811,819,825,831,846,851,857,870,878,887,899,906,913,920,933,938,949,958,965,969,984,987,1001,1007,1014,1024,1032,1040,1052,1061,1065,1073,1081,1088,1099,1109,1120,1126,1136,1145,1153,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,31,38,44,56,61,74,79,85,99,106,114,120,129,140,148,162,170,177,315,325,334,341,348,352,369,371,381,389,403,408,418,423,430,443,597,604,612,619,627,639,646,657,660,672,679,693,698,707,715,722,735,741,746,761,763,776,788,792,798,813,819,824,833,841,856,865,872,878,883,895,904,910,922,928,939,946,956,966,976,984,991,994,1002,1016,1021,1034,1041,1048,1058,1066,1075,1081,1093,1102,1108,1116,1129,1131,1145,1150,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,30,42,43,57,61,69,77,91,102,107,117,120,131,137,152,158,170,177,313,324,329,338,351,357,366,376,378,390,399,405,413,425,434,444,451,604,612,621,632,636,647,657,661,673,680,694,702,703,720,725,735,739,749,757,764,774,788,790,798,806,822,830,837,842,852,861,866,879,890,894,902,910,918,929,937,945,953,964,970,983,988,1000,1010,1011,1027,1029,1040,1045,1058,1067,1076,1081,1093,1097,1109,1115,1124,1136,1139,1155,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,27,42,46,52,60,71,81,85,95,104,118,123,136,141,152,159,168,175,317,323,331,342,352,356,363,371,384,388,396,407,413,424,431,441,470,608,613,621,633,636,651,656,668,676,685,692,696,711,713,722,731,742,753,755,763,775,784,793,798,813,818,825,831,841,856,857,873,876,889,892,907,912,920,933,936,945,955,959,970,976,992,996,1007,1011,1027,1029,1042,1051,1053,1063,1079,1084,1096,1104,1112,1113,1124,1131,1144,1147,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,18,30,34,47,59,67,69,83,87,100,109,113,127,133,142,147,154,167,173,182,326,330,341,348,360,363,376,378,394,402,404,416,423,433,440,459,601,614,618,631,637,643,660,662,672,678,692,697,711,712,720,730,740,746,762,764,773,781,794,805,806,815,829,837,840,848,860,872,878,887,894,904,909,924,927,940,949,953,966,969,978,990,995,1007,1011,1023,1032,1037,1049,1059,1066,1073,1084,1089,1101,1106,1120,1128,1133,1140,1149,1158,1170	1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,13,24,33,42,48,56,66,74,77,93,98,107,118,121,130,141,153,162,164,174,180,326,331,343,350,353,366,369,381,387,397,410,415,422,434,438,454,604,614,619,631,643,647,655,661,675,681,687,701,704,720,724,733,739,750,755,769,776,783,793,798,807,817,825,838,840,852,859,872,877,887,893,904,909,920,925,942,947,958,960,975,977,991,996,1004,1019,1022,1034,1043,1051,1057,1064,1071,1087,1095,1096,1112,1120,1127,1136,1147,1155,1163,1166,1177	0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,16,24,27,41,44,53,60,69,82,85,94,109,114,124,136,143,146,159,164,172,193,319,332,339,346,360,366,377,380,392,400,411,417,424,429,445,461,606,612,625,633,641,650,654,665,672,685,692,701,707,718,725,736,737,748,757,768,777,782,791,805,810,822,827,833,842,853,862,870,877,887,893,901,909,919,931,942,946,955,962,969,976,992,995,1009,1014,1027,1035,1042,1050,1058,1065,1072,1084,1094,1102,1111,1119,1129,1133,1146,1149,1157,1166	1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0
3,14,19,34,37,48,51,67,74,83,91,96,104,111,126,134,141,147,160,168,177,181,322,333,342,347,359,368,375,385,392,395,412,419,428,437,441,462,604,612,626,630,638,646,653,667,675,686,689,697,707,720,727,737,738,752,755,765,776,782,794,801,809,819,828,837,845,849,863,869,875,890,898,900,912,922,926,939,949,951,964,971,985,992,1001,1004,1018,1024,1033,1043,1045,1057,1065,1073,1082,1094,1101,1109,1116,1123,1134,1141,1148,1161,1168,1178	0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,21,30,37,44,59,64,73,81,90,100,107,111,119,134,137,150,160,163,171,193,320,332,336,347,356,364,377,380,391,400,404,412,427,432,443,462,605,615,619,628,642,646,660,661,670,681,688,695,706,719,720,734,744,753,756,769,779,785,793,798,809,816,825,838,840,848,858,870,882,889,897,901,909,924,929,939,945,956,966,968,984,987,999,1008,1013,1024,1032,1038,1049,1055,1062,1074,1079,1090,1103,1105,1117,1130,1133,1143,1153,1163,1172,1178	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,21,30,37,49,53,67,68,77,90,99,108,111,127,136,142,152,155,164,176,197,325,332,335,347,354,363,371,384,392,395,406,417,421,436,441,598,604,617,625,634,643,646,658,668,673,677,690,700,704,714,720,736,742,748,759,771,778,788,792,802,807,819,828,835,847,855,860,871,876,886,896,906,909,921,930,940,946,954,967,968,979,988,997,1006,1012,1027,1036,1040,1050,1059,1070,1075,1083,1092,1098,1109,1114,1124,1137,1139,1149,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,18,27,40,45,52,65,76,82,91,94,103,115,124,133,142,149,157,162,172,184,323,328,336,345,357,368,376,385,394,401,406,419,421,437,439,597,608,613,620,634,635,648,653,664,675,680,686,701,709,719,726,729,737,749,760,767,779,786,790,803,808,814,831,837,842,854,863,872,882,883,893,904,912,917,933,937,946,957,966,972,977,992,998,1002,1017,1020,1031,1043,1046,1060,1069,1076,1086,1090,1099,1109,1121,1128,1130,1138,1151,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,24,25,35,44,53,66,69,81,93,98,110,118,125,135,139,152,159,166,172,182,324,333,337,344,360,363,373,381,392,401,406,415,425,429,447,598,606,612,623,632,637,650,653,668,674,685,693,697,708,715,721,730,744,754,761,770,776,787,794,802,811,820,824,832,845,851,862,867,879,891,899,903,913,918,927,941,943,958,967,973,978,992,1001,1005,1012,1022,1031,1043,1051,1061,1063,1071,1086,1093,1102,1108,1118,1127,1138,1146,1151,1157,1169,1178	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
1,9,19,31,39,47,58,66,72,82,86,96,109,113,120,132,139,146,159,166,179,315,322,328,343,348,356,361,374,382,393,396,411,413,425,435,442,456,604,614,620,634,640,644,657,666,671,685,687,696,711,713,725,730,740,746,761,768,778,783,794,797,812,818,828,831,841,850,863,868,876,885,894,907,909,921,931,939,944,952,960,975,980,987,999,1003,1016,1027,1031,1041,1051,1057,1066,1074,1079,1089,1097,1105,1118,1126,1131,1145,1151,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,28,41,46,59,65,73,83,92,97,109,112,123,135,138,148,155,167,176,191,323,333,339,345,355,368,374,385,389,396,410,415,424,437,439,463,607,614,624,629,642,649,655,663,675,683,690,697,711,717,726,735,745,750,758,768,778,781,795,804,806,815,828,836,845,848,861,872,875,891,897,904,915,918,931,937,942,953,966,969,978,988,998,1006,1011,1026,1034,1042,1052,1059,1067,1074,1080,1089,1101,1109,1115,1126,1136,1147,1149,1158,1167,1177	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,19,28,40,44,55,65,73,83,92,97,104,119,125,135,142,151,157,165,175,194,319,330,343,346,355,366,375,378,394,401,409,420,428,431,439,598,604,615,621,632,642,651,653,664,676,684,690,698,705,716,727,730,740,750,760,770,779,787,792,805,811,820,827,837,840,852,858,868,877,890,897,906,908,919,932,938,945,957,964,976,979,987,999,1006,1018,1021,1034,1039,1051,1061,1063,1079,1087,1090,1096,1112,1116,1126,1133,1139,1149,1160,1169,1173	1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,17,32,42,49,53,62,71,82,85,97,109,113,120,133,141,145,154,170,174,188,322,330,336,347,354,368,372,381,388,402,408,415,427,429,439,453,602,613,623,627,636,649,656,661,674,682,686,698,705,718,721,737,739,754,761,764,775,783,791,797,808,822,828,837,842,856,858,872,880,886,897,907,913,923,927,937,943,958,965,972,977,987,994,1002,1011,1021,1035,1041,1046,1060,1063,1071,1085,1093,1099,1110,1121,1129,1132,1147,1153,1156,1173,1176	1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,20,31,36,47,57,61,75,81,93,100,104,115,124,135,142,145,155,167,177,189,320,329,343,349,358,368,374,385,387,401,411,415,426,435,438,600,606,616,622,634,638,649,655,668,673,684,691,696,711,716,720,733,744,751,760,771,776,785,793,805,806,819,825,832,841,852,858,872,880,887,899,906,910,925,927,937,949,958,960,975,979,988,998,1009,1014,1021,1034,1037,1050,1057,1069,1073,1086,1091,1098,1107,1118,1128,1130,1143,1154,1157,1164	1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,18,28,40,46,57,62,69,78,85,95,105,114,123,132,143,149,160,166,173,182,325,334,339,344,359,361,372,384,391,397,411,416,421,430,443,599,609,610,618,626,641,645,656,667,677,685,687,700,710,718,726,733,741,750,760,767,771,781,793,802,812,819,824,836,842,856,863,873,876,890,899,900,915,920,927,942,947,953,960,968,980,993,1000,1007,1011,1022,1032,1039,1051,1054,1062,1074,1083,1092,1098,1109,1119,1127,1130,1145,1154,1156,1170	0,1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0
1,9,19,32,35,44,59,64,70,85,91,99,108,116,128,132,144,148,160,162,177,184,318,335,339,348,353,366,372,379,387,401,408,419,429,435,444,468,604,611,621,634,642,647,659,668,674,679,688,701,710,718,728,735,744,751,760,770,779,780,795,798,806,818,825,837,847,849,859,865,874,887,896,906,911,919,932,938,943,955,961,968,981,993,999,1006,1013,1019,1032,1043,1050,1057,1069,1077,1087,1090,1096,1109,1121,1127,1134,1143,1156,1157,1164,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,27,41,43,58,65,72,78,89,97,108,111,119,130,138,148,159,170,171,317,320,331,340,351,355,362,370,378,394,400,409,417,421,437,442,457,609,613,624,629,635,647,660,666,675,683,692,702,704,715,720,731,737,751,759,763,771,781,789,799,806,820,827,834,841,849,860,866,875,885,896,901,912,918,930,940,948,951,963,972,984,989,996,1002,1018,1023,1030,1037,1051,1060,1063,1070,1086,1091,1099,1112,1117,1122,1135,1139,1153,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,17,28,36,49,54,65,75,83,90,97,110,111,123,130,141,149,160,163,177,315,319,327,336,348,354,362,377,386,390,400,411,420,423,433,442,447,608,615,622,631,640,646,659,664,675,683,688,697,704,712,728,731,744,747,759,763,779,787,792,801,808,814,830,835,841,855,857,870,880,884,899,904,915,925,927,940,949,955,964,968,979,986,999,1004,1011,1021,1033,1040,1045,1058,1066,1074,1083,1094,1101,1108,1121,1128,1138,1140,1155,1164,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,25,28,34,47,53,61,68,81,92,96,105,113,124,133,139,145,156,165,176,317,322,328,339,348,353,368,376,382,392,395,406,418,421,435,438,599,603,614,619,630,640,647,660,663,672,685,690,695,709,714,722,731,737,749,760,763,776,780,796,801,809,816,829,835,843,849,857,873,877,887,892,904,911,919,926,940,949,958,964,968,977,987,997,1007,1015,1024,1034,1041,1053,1060,1063,1072,1080,1088,1103,1107,1121,1126,1131,1145,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,18,26,38,46,54,62,69,80,85,98,104,116,123,131,144,148,156,168,171,317,325,331,343,350,355,368,372,380,389,398,407,420,427,437,445,597,601,613,620,634,639,652,658,664,671,677,686,701,710,714,728,732,743,746,759,769,772,780,792,803,812,816,830,833,846,852,857,867,879,888,894,905,910,924,932,939,943,953,960,972,982,991,995,1008,1013,1021,1030,1040,1048,1054,1066,1071,1084,1090,1099,1105,1120,1123,1133,1140,1147,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,28,34,51,54,64,70,78,92,102,110,111,120,131,138,148,160,164,177,318,321,331,338,349,358,364,376,380,389,395,407,414,421,429,444,597,604,610,619,626,635,645,658,668,675,681,689,703,705,719,723,737,739,751,759,764,779,783,789,804,807,816,827,834,845,850,862,871,880,889,899,907,916,920,929,940,949,957,959,975,982,987,995,1002,1015,1020,1035,1044,1045,1058,1068,1070,1085,1091,1098,1112,1115,1124,1132,1141,1148,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,21,32,42,44,58,67,71,82,91,94,103,114,125,131,137,150,161,165,171,313,320,332,341,350,357,365,372,382,394,403,404,417,423,435,442,597,602,617,622,633,637,643,657,667,671,679,693,702,705,714,727,737,744,749,759,766,779,788,791,800,812,819,831,836,841,853,861,868,875,887,895,904,915,919,928,936,949,957,960,971,979,991,1001,1006,1011,1023,1029,1036,1049,1054,1065,1073,1082,1095,1097,1107,1117,1125,1135,1147,1152,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,31,38,43,58,64,71,83,93,99,105,112,122,129,144,145,156,164,178,316,321,330,343,349,358,364,375,381,388,401,409,418,429,431,443,461,602,610,621,631,638,647,653,668,676,683,688,701,711,715,727,734,745,750,760,769,778,781,791,804,813,816,824,837,844,851,861,873,874,885,894,907,910,917,932,938,947,954,959,972,978,986,995,1005,1018,1019,1033,1039,1050,1055,1070,1077,1086,1095,1102,1109,1115,1124,1136,1141,1150,1163,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,26,38,49,53,67,75,81,90,100,106,111,123,136,142,148,160,164,175,313,326,334,341,346,357,361,371,386,392,398,411,420,429,436,442,468,608,613,623,627,637,646,654,667,669,683,694,702,707,717,723,732,740,750,760,770,776,783,791,798,813,819,823,832,841,849,859,870,877,889,893,907,909,921,925,939,946,953,961,976,984,989,996,1010,1013,1026,1031,1038,1045,1057,1066,1075,1084,1090,1099,1107,1113,1129,1133,1144,1147,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,29,37,49,59,62,68,79,88,98,102,111,120,130,137,152,157,163,176,183,324,328,342,351,356,361,371,380,387,398,408,416,428,431,438,456,604,617,619,631,636,647,654,665,671,684,688,699,709,712,726,735,740,748,756,769,779,786,793,805,811,818,827,839,847,849,862,867,881,885,896,907,914,920,931,935,944,951,962,972,980,988,994,1004,1013,1019,1029,1036,1046,1055,1068,1072,1083,1093,1101,1110,1118,1125,1132,1146,1153,1161,1167,1178	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,24,32,35,49,52,61,70,77,92,98,110,118,125,134,138,147,160,169,173,317,322,330,342,345,358,362,373,383,389,403,406,414,425,431,438,462,601,617,618,631,639,648,655,667,670,682,690,699,710,714,726,730,744,754,756,763,775,784,792,799,813,815,828,836,843,850,858,873,880,891,896,906,916,918,927,935,951,952,964,971,980,992,995,1004,1011,1020,1033,1039,1051,1055,1065,1074,1084,1092,1103,1111,1115,1123,1131,1140,1152,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,18,27,38,45,58,63,73,81,92,95,110,115,126,128,138,150,162,170,171,314,319,331,339,349,355,363,371,384,393,403,406,420,425,437,444,459,602,616,624,628,642,644,655,665,676,682,687,695,710,718,728,736,740,751,756,771,772,786,795,799,806,814,829,839,845,850,864,872,874,890,897,902,913,921,926,941,945,952,967,969,981,990,994,1009,1010,1023,1028,1042,1046,1053,1064,1078,1080,1090,1098,1107,1115,1126,1130,1142,1151,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,29,40,48,54,61,68,79,87,99,103,115,121,128,142,147,161,168,177,316,323,330,340,346,355,367,375,382,394,400,411,418,423,429,441,458,600,614,624,632,637,647,654,662,670,681,693,696,706,719,727,730,744,752,758,763,771,787,794,804,814,816,824,836,842,850,862,871,881,884,891,907,910,924,931,940,943,959,965,971,981,989,1000,1005,1013,1024,1035,1039,1045,1057,1065,1078,1081,1094,1097,1112,1115,1126,1132,1139,1154,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,28,39,43,53,67,70,78,92,96,102,112,120,135,139,147,159,166,171,317,321,331,341,345,352,361,373,386,390,399,408,413,426,435,443,597,608,611,622,633,641,651,656,668,673,684,689,700,705,719,720,730,741,753,756,769,772,787,790,798,813,819,826,832,843,856,861,873,880,883,899,904,908,922,928,939,947,954,960,974,981,991,996,1004,1017,1024,1034,1039,1049,1053,1062,1077,1081,1088,1098,1113,1119,1128,1133,1144,1151,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,25,37,44,51,60,72,85,90,94,110,114,122,132,139,152,155,167,178,187,326,331,339,343,359,369,371,382,389,399,409,416,426,430,442,447,607,609,625,634,642,647,652,663,671,682,689,698,706,716,726,731,744,753,762,769,772,781,790,798,809,817,830,835,846,849,860,870,882,885,897,899,909,924,927,938,945,951,959,971,984,985,994,1007,1011,1025,1033,1040,1048,1055,1062,1070,1081,1090,1097,1110,1115,1124,1132,1146,1154,1162,1167,1173	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,23,30,41,49,59,62,70,84,87,98,105,115,122,133,138,147,154,163,174,317,318,331,339,352,359,364,377,385,392,401,409,412,420,434,446,467,608,610,618,629,641,648,658,669,677,682,690,701,706,719,724,731,737,750,762,769,777,781,791,801,806,819,827,839,844,854,860,867,874,888,893,900,910,918,928,940,945,952,965,975,983,988,1000,1007,1018,1021,1027,1037,1045,1054,1064,1078,1085,1094,1104,1105,1120,1126,1137,1142,1150,1162,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,31,41,48,52,65,76,78,88,94,106,116,127,132,144,149,160,162,172,316,323,330,343,345,360,369,372,383,391,401,406,417,425,436,443,451,608,611,618,634,643,650,655,666,677,679,692,698,711,714,723,735,740,746,761,769,772,784,789,798,808,814,823,837,845,851,858,873,876,884,891,903,910,917,931,940,950,951,962,969,977,988,994,1008,1014,1022,1031,1041,1048,1056,1062,1073,1084,1090,1102,1109,1121,1124,1133,1141,1150,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,29,34,48,59,64,75,79,88,100,105,113,119,131,136,149,161,168,177,314,319,330,340,350,355,368,375,379,390,403,407,420,427,436,440,596,609,612,619,631,639,647,654,661,676,685,693,701,707,712,727,736,738,752,760,764,777,785,796,801,813,817,827,834,847,853,860,870,875,886,896,904,914,924,926,936,947,953,961,973,984,991,998,1007,1011,1023,1035,1042,1046,1053,1064,1072,1083,1091,1099,1108,1121,1122,1136,1147,1152,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,23,29,34,47,52,67,68,83,85,97,108,116,120,131,139,149,157,165,177,314,321,332,337,347,352,366,377,379,388,401,409,412,425,432,445,453,605,611,620,629,643,646,652,664,672,681,688,696,706,713,725,732,741,746,757,763,779,785,790,803,813,815,827,840,841,853,860,865,879,887,898,905,908,923,933,938,949,955,960,973,984,985,1000,1007,1012,1020,1029,1037,1050,1054,1068,1073,1083,1088,1104,1111,1115,1123,1130,1140,1148,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,29,42,47,52,61,76,79,92,97,107,111,120,131,139,145,155,162,178,316,318,331,336,347,352,362,372,384,387,398,412,419,424,435,439,598,601,614,621,633,635,650,655,665,675,685,688,695,704,714,725,729,740,750,759,768,775,784,793,797,809,819,827,832,843,848,865,870,878,888,895,903,913,918,930,936,943,955,967,974,978,993,998,1009,1018,1027,1031,1038,1051,1055,1064,1074,1079,1092,1103,1109,1118,1126,1136,1142,1151,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,21,25,35,44,56,67,76,83,88,94,108,114,127,133,137,153,154,165,178,318,324,327,339,345,354,364,371,386,393,401,406,418,422,433,443,458,609,610,624,634,635,650,657,664,676,684,687,697,704,717,722,734,744,749,758,767,775,782,793,801,808,817,824,833,845,855,858,870,875,889,897,907,910,918,927,941,948,958,964,973,978,988,1000,1003,1018,1023,1031,1042,1052,1057,1064,1071,1083,1095,1098,1113,1115,1125,1134,1141,1152,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,27,34,46,54,65,76,83,90,99,110,118,125,135,142,145,160,166,175,315,326,329,335,347,355,368,374,378,388,399,411,417,421,437,443,598,605,614,618,634,636,650,659,662,673,678,694,696,706,720,724,735,742,751,756,763,773,786,795,799,813,819,825,835,847,853,858,873,878,888,894,901,909,917,929,934,949,954,960,974,982,990,997,1004,1016,1021,1028,1038,1048,1058,1067,1078,1083,1090,1101,1105,1117,1125,1137,1139,1149,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,33,36,45,55,62,69,83,93,97,105,117,127,129,139,148,156,167,179,315,323,332,337,345,355,367,369,384,390,395,410,413,422,435,442,468,609,614,625,628,636,650,652,664,670,682,692,700,703,715,728,729,738,748,754,766,776,787,791,805,810,815,829,833,840,855,861,868,880,891,899,904,912,923,929,939,946,953,960,969,981,992,994,1009,1018,1027,1032,1039,1046,1054,1067,1078,1081,1092,1102,1107,1121,1124,1136,1141,1151,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,32,38,48,56,60,70,84,88,101,107,111,125,132,145,151,159,170,172,313,326,330,340,346,356,364,371,381,386,397,403,415,422,437,441,597,604,613,622,634,635,647,655,666,672,684,687,702,703,719,725,730,743,750,757,767,772,780,789,805,809,820,827,839,843,850,862,869,876,886,896,903,908,922,927,936,945,952,967,970,981,988,1001,1006,1015,1023,1032,1038,1049,1057,1066,1077,1082,1088,1103,1111,1121,1123,1133,1144,1148,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,18,32,34,50,51,63,71,78,92,102,107,111,121,135,144,146,158,168,172,318,324,327,340,348,356,367,377,381,390,398,411,418,421,432,440,597,601,617,624,630,642,648,658,664,674,683,692,702,705,717,720,730,744,749,756,765,775,788,797,805,809,817,828,833,847,854,861,867,875,886,894,900,910,920,929,937,945,951,967,976,979,991,998,1005,1012,1022,1031,1043,1052,1060,1065,1073,1083,1089,1097,1105,1113,1124,1135,1139,1148,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,27,42,47,53,61,74,84,87,96,110,114,120,131,144,150,162,165,175,316,326,329,340,345,359,368,372,384,392,400,405,418,421,432,441,597,606,610,622,630,639,644,660,661,670,682,688,697,704,719,725,736,745,754,758,767,775,788,790,801,814,816,829,833,840,850,862,867,875,890,898,907,912,918,932,941,944,951,966,975,981,991,1000,1004,1013,1021,1035,1041,1053,1061,1064,1074,1084,1091,1100,1107,1119,1122,1136,1141,1152,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,28,36,43,52,66,76,81,86,97,108,114,123,133,143,145,155,167,179,313,321,334,341,346,358,363,378,379,387,396,404,419,426,433,442,599,605,617,621,631,637,648,656,661,675,678,693,695,708,715,725,733,740,752,756,769,776,786,793,798,811,822,829,834,845,856,860,872,882,887,891,902,909,919,930,937,943,951,962,974,978,989,998,1008,1013,1022,1029,1042,1051,1058,1069,1072,1080,1094,1096,1109,1118,1127,1134,1141,1150,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,32,38,44,55,61,69,85,93,95,110,115,123,131,141,146,159,169,170,186,323,331,341,344,353,365,372,383,391,403,412,419,423,431,440,598,603,616,618,631,642,651,657,668,674,685,693,696,704,713,726,736,737,748,755,763,778,788,792,798,814,822,827,834,846,855,860,868,882,889,898,903,911,921,927,937,950,953,967,971,983,988,1001,1008,1017,1022,1035,1044,1046,1056,1062,1070,1081,1090,1100,1110,1121,1128,1138,1145,1155,1163,1170,1176	0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
8,13,17,33,35,49,51,65,74,78,87,97,105,118,123,130,140,151,161,164,177,180,326,333,335,347,360,365,373,384,387,397,408,412,422,434,441,451,603,614,622,634,643,652,656,665,674,684,691,697,703,719,728,733,740,748,759,766,779,784,796,799,812,817,826,837,845,849,858,866,877,890,896,905,914,922,927,937,947,958,967,975,977,993,1002,1006,1012,1021,1033,1040,1047,1055,1065,1074,1079,1093,1100,1112,1117,1125,1131,1139,1152,1161,1167,1173	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
2,12,17,27,38,49,52,65,70,82,85,96,110,116,126,129,141,146,159,164,174,185,323,327,338,347,359,362,376,381,389,400,408,416,428,434,442,447,609,614,623,626,635,651,658,666,675,679,687,695,705,717,722,737,745,754,756,768,771,780,790,805,812,816,831,834,841,848,858,871,880,886,897,907,911,919,929,934,945,951,962,968,984,993,999,1007,1014,1023,1030,1043,1048,1058,1067,1071,1085,1095,1103,1113,1116,1129,1137,1142,1154,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,24,32,36,46,56,65,68,82,88,98,105,114,121,134,143,150,160,163,179,198,319,332,336,348,360,364,372,383,391,396,408,420,423,437,440,469,607,615,621,633,640,651,654,665,669,680,693,699,706,718,720,733,740,754,755,768,775,785,790,802,809,815,831,836,841,849,859,870,880,886,891,907,908,919,926,941,949,953,961,970,980,992,999,1010,1016,1027,1032,1043,1053,1061,1069,1071,1079,1094,1097,1113,1115,1123,1135,1143,1155,1160,1167,1173	0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,17,30,34,50,51,62,69,82,92,98,104,119,123,129,143,152,154,162,173,207,326,329,341,347,359,366,375,378,388,396,407,420,424,435,439,596,603,617,622,633,642,647,653,665,670,682,694,699,704,717,721,736,741,754,759,767,772,785,792,801,809,821,828,833,841,849,861,867,880,891,896,901,910,922,926,938,943,954,964,969,983,986,997,1006,1010,1019,1034,1040,1050,1058,1066,1074,1085,1090,1100,1109,1117,1124,1137,1145,1149,1163,1167,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,15,17,29,41,50,54,65,75,83,85,100,103,114,122,133,139,152,160,164,177,184,324,330,336,350,357,363,377,379,389,401,404,417,424,433,438,600,602,611,625,630,636,650,659,666,675,678,687,699,708,717,720,734,744,746,759,764,778,782,789,799,810,817,828,834,846,849,864,870,882,887,895,907,916,917,926,941,943,958,960,972,977,991,995,1005,1018,1022,1032,1038,1046,1061,1068,1076,1079,1094,1098,1109,1119,1128,1134,1142,1152,1159,1172,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,9,21,27,40,43,59,68,71,79,92,101,103,113,127,135,137,146,161,167,174,195,320,334,341,347,352,366,376,379,387,398,410,414,428,430,445,449,603,616,618,632,641,648,656,664,674,682,694,696,706,718,723,733,744,753,761,763,773,786,793,803,806,814,825,834,844,854,858,871,876,883,893,902,910,923,931,940,948,958,963,968,977,986,997,1002,1012,1027,1029,1036,1052,1056,1067,1073,1080,1091,1096,1108,1119,1126,1130,1141,1150,1162,1167,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,17,32,40,43,59,64,72,80,91,93,109,114,121,128,139,150,161,163,177,183,318,334,342,347,358,361,377,379,389,396,412,419,428,433,439,468,603,616,618,634,640,648,657,666,672,682,691,696,711,719,728,729,739,747,759,763,777,784,791,797,810,815,822,833,847,853,865,873,881,890,897,905,914,919,933,935,944,955,965,970,976,985,1001,1010,1015,1025,1033,1041,1052,1055,1062,1075,1080,1093,1102,1108,1116,1122,1136,1141,1150,1159,1168,1174	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,11,23,32,38,50,55,65,73,83,89,100,102,111,122,131,143,149,157,170,176,313,324,333,342,349,357,363,375,380,386,402,411,419,425,433,444,598,601,616,625,633,637,651,654,661,674,677,691,699,711,714,720,731,742,752,758,764,779,781,790,803,811,822,823,837,847,857,863,871,876,884,896,902,911,924,932,934,946,953,966,976,980,988,996,1004,1014,1026,1035,1040,1051,1059,1068,1073,1084,1091,1097,1109,1116,1122,1136,1146,1154,1157,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,28,39,48,57,67,70,85,89,94,106,119,125,133,141,147,162,167,171,191,322,328,336,346,353,368,376,382,393,403,405,416,421,437,440,597,607,613,621,629,636,650,657,669,675,684,689,699,705,719,727,731,737,746,755,769,772,788,790,804,812,821,827,833,840,851,863,866,882,888,896,900,910,918,931,937,943,957,961,971,979,988,998,1005,1014,1024,1029,1042,1045,1056,1068,1077,1083,1090,1100,1107,1115,1127,1134,1139,1149,1160,1171,1176	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,17,27,38,49,53,64,75,83,93,100,109,112,127,129,141,147,156,165,178,182,320,329,340,349,358,367,375,385,394,403,409,415,427,434,440,599,607,611,618,630,641,649,657,666,669,681,688,695,711,716,721,734,745,748,762,766,778,787,793,797,813,817,825,837,840,849,859,871,880,890,899,906,910,919,926,940,949,955,965,971,977,988,994,1005,1011,1026,1029,1038,1045,1056,1065,1071,1084,1088,1102,1110,1113,1127,1136,1139,1155,1163,1164,1174	1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,19,28,41,49,53,63,69,77,88,94,110,112,126,129,138,152,155,168,176,193,321,329,343,344,354,367,371,382,394,399,404,415,426,435,442,459,604,614,620,634,637,646,654,664,669,682,687,695,709,717,720,731,738,753,760,769,774,786,793,805,807,820,830,838,845,854,860,865,874,889,896,907,909,919,928,939,949,957,962,970,982,986,997,1004,1017,1019,1030,1044,1052,1055,1069,1078,1082,1092,1101,1105,1120,1127,1133,1139,1155,1164,1170,1175	0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,23,34,42,43,59,68,70,83,90,99,102,116,123,133,140,146,158,168,171,189,326,330,338,346,356,368,372,382,387,395,405,413,421,432,444,458,602,609,621,627,643,646,657,663,670,682,686,701,704,715,726,730,744,749,756,764,776,781,791,801,810,815,824,834,846,853,858,872,881,887,892,903,916,919,931,937,943,954,963,974,983,993,1001,1007,1019,1024,1029,1038,1050,1059,1066,1078,1086,1091,1104,1113,1114,1126,1134,1139,1149,1163,1171,1178	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,17,32,36,49,53,66,68,82,93,97,102,113,127,134,141,146,159,165,177,185,321,328,342,350,359,364,370,386,388,398,406,413,426,429,444,598,606,611,619,628,641,646,658,664,671,682,686,697,708,718,720,733,737,751,757,767,776,784,794,797,807,816,827,839,841,853,862,872,876,887,895,900,912,923,930,940,944,953,965,969,979,992,997,1006,1017,1022,1033,1041,1052,1059,1063,1073,1080,1090,1104,1106,1121,1123,1131,1139,1150,1161,1168,1176	1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,19,32,34,51,59,65,70,80,87,96,105,117,127,134,141,148,159,167,179,181,323,327,339,344,358,363,375,380,387,403,410,415,427,430,443,599,604,611,618,628,635,647,653,666,673,678,692,696,703,713,720,737,738,753,759,764,780,784,796,800,808,819,827,838,842,851,859,867,881,885,898,905,916,918,925,938,947,957,967,969,981,985,995,1006,1016,1019,1032,1040,1053,1058,1069,1073,1082,1090,1099,1112,1115,1128,1132,1139,1148,1159,1168,1178	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
4,9,24,32,41,48,55,62,68,80,87,99,108,111,120,130,144,150,160,170,172,316,321,333,335,351,356,364,376,382,389,401,411,415,429,436,439,454,606,614,619,635,639,644,654,662,672,684,692,702,706,719,726,736,743,748,756,765,777,786,794,802,811,818,827,835,845,856,864,869,877,887,896,899,912,920,932,936,949,957,967,971,977,989,1001,1005,1011,1024,1034,1040,1053,1054,1068,1076,1080,1093,1098,1107,1115,1122,1130,1147,1148,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,31,41,46,52,64,75,80,92,100,105,119,120,130,144,146,156,164,177,318,324,327,337,347,360,366,371,386,394,395,406,418,421,435,439,596,606,616,625,627,643,645,657,666,671,682,686,697,711,718,728,731,745,752,756,767,772,782,796,797,811,816,828,837,848,852,859,868,876,886,891,906,916,920,930,935,943,955,966,970,982,986,996,1006,1014,1024,1031,1040,1052,1058,1070,1076,1083,1090,1100,1109,1119,1126,1138,1143,1153,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,27,40,49,55,66,73,79,93,100,106,117,125,130,142,152,157,168,171,317,326,329,335,350,353,368,369,384,388,400,408,417,428,430,444,598,604,611,620,631,643,650,660,661,673,679,686,697,704,720,722,737,743,751,756,770,778,781,792,805,811,819,827,834,842,856,861,868,882,883,896,902,908,924,928,936,945,951,963,975,983,989,995,1002,1015,1025,1033,1038,1047,1057,1063,1070,1085,1092,1103,1105,1114,1127,1136,1142,1151,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,28,34,48,55,64,72,78,85,100,109,118,125,129,141,151,156,169,177,316,320,329,338,349,357,365,376,382,387,402,407,414,427,430,438,467,601,617,625,628,641,645,658,663,669,679,691,694,706,715,726,729,744,749,755,768,773,787,795,801,807,822,827,836,841,850,863,866,880,887,896,906,911,924,926,934,950,952,965,970,981,989,998,1002,1016,1023,1033,1038,1047,1060,1063,1076,1084,1091,1103,1105,1116,1122,1136,1146,1148,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,21,25,37,43,52,66,71,79,91,101,105,111,126,136,140,153,158,165,177,313,325,332,339,349,358,368,376,378,387,400,408,417,424,430,442,596,604,613,626,634,643,652,657,664,671,682,689,701,708,716,721,737,744,750,761,764,777,782,793,801,808,819,826,837,848,850,862,871,876,886,891,903,911,917,926,940,944,953,967,969,984,990,1002,1005,1011,1019,1033,1044,1052,1055,1067,1078,1081,1096,1097,1113,1116,1126,1138,1141,1148,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,28,37,47,51,66,71,78,89,95,104,115,126,135,142,151,158,166,174,314,326,332,339,349,358,366,377,379,389,395,408,414,420,431,440,452,604,612,618,632,639,648,660,667,673,683,692,695,704,712,725,735,745,747,756,770,774,782,789,804,808,822,824,833,846,856,862,870,875,891,898,906,908,925,927,938,946,956,965,970,982,985,997,1010,1014,1026,1030,1038,1049,1059,1062,1072,1081,1087,1102,1108,1114,1122,1138,1141,1150,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,29,41,50,51,62,76,83,93,97,108,112,123,136,137,145,157,166,173,316,319,329,341,347,356,367,370,378,391,398,410,414,424,435,440,600,606,616,619,633,635,651,659,667,672,685,688,702,704,713,722,735,745,746,760,770,772,786,789,802,810,817,831,837,846,854,864,871,874,890,892,903,912,920,928,936,950,953,966,970,984,990,997,1009,1017,1020,1030,1039,1051,1060,1062,1074,1084,1091,1100,1108,1118,1123,1135,1145,1153,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,26,42,44,55,62,71,77,92,99,108,112,119,132,141,151,160,162,176,317,326,332,339,345,360,366,369,378,393,398,410,417,427,437,446,596,607,616,625,628,635,645,659,663,675,682,689,696,706,715,721,735,743,753,759,767,774,781,792,803,806,817,826,835,844,853,861,872,881,889,897,907,910,922,932,935,949,955,967,975,985,991,1000,1003,1015,1021,1032,1042,1051,1054,1063,1074,1085,1088,1103,1105,1120,1129,1138,1139,1154,1157,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,29,42,46,52,63,70,83,87,96,108,113,123,129,145,150,155,165,173,183,322,332,339,350,353,364,373,379,389,397,412,417,428,435,438,466,601,609,618,628,635,650,657,668,673,685,693,702,704,711,721,734,742,750,754,771,778,784,790,804,806,819,823,832,843,853,861,870,880,887,899,900,911,918,933,936,948,951,964,969,984,986,994,1004,1012,1023,1033,1041,1051,1058,1062,1076,1086,1092,1101,1110,1121,1124,1130,1143,1152,1156,1165,1175	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,19,25,39,46,54,60,69,83,87,102,109,111,124,135,140,150,154,164,171,317,319,332,343,347,357,369,375,378,391,400,405,417,427,429,445,465,607,615,624,627,635,644,652,667,676,685,688,702,705,717,724,730,740,746,760,766,773,786,789,802,806,815,828,839,844,854,858,869,876,885,894,903,916,918,927,940,947,953,959,975,977,986,1002,1006,1017,1020,1035,1039,1053,1054,1064,1073,1084,1095,1102,1105,1119,1127,1134,1146,1147,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,33,38,45,57,66,72,78,88,96,103,112,120,135,143,145,154,163,175,317,326,329,341,345,360,366,370,385,389,397,407,417,426,436,438,596,604,614,623,632,639,645,655,663,675,679,690,703,704,716,725,733,744,747,763,767,772,783,791,797,806,818,824,836,847,850,860,866,881,882,892,903,911,919,926,940,949,954,962,971,979,988,996,1007,1017,1022,1031,1037,1052,1058,1065,1078,1082,1089,1096,1108,1121,1127,1138,1146,1150,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,20,33,42,47,56,67,70,81,86,94,106,116,123,130,138,146,160,162,178,317,319,327,342,345,360,365,376,382,390,397,406,415,427,429,445,465,603,617,622,631,643,652,656,663,669,678,690,697,708,718,727,729,740,748,761,769,776,782,795,805,813,822,824,833,845,852,863,868,878,886,898,908,909,917,930,938,947,957,963,976,983,986,998,1006,1011,1019,1030,1040,1049,1056,1066,1077,1087,1094,1100,1110,1119,1127,1133,1143,1150,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,29,36,46,58,66,71,80,86,95,103,116,123,135,137,150,156,162,171,313,321,333,336,344,354,363,370,380,394,401,408,420,423,433,443,448,609,616,619,632,637,645,660,665,675,685,689,699,711,717,725,729,741,750,761,764,773,782,791,800,813,817,830,839,840,855,864,870,880,885,893,903,909,924,931,941,945,954,960,970,981,987,997,1005,1016,1027,1036,1039,1046,1059,1062,1074,1086,1088,1099,1109,1115,1130,1131,1145,1154,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,31,41,43,56,61,76,79,91,99,106,113,121,132,142,149,156,164,171,182,322,332,341,352,354,364,374,380,386,398,403,416,423,433,438,453,602,615,622,630,642,648,655,661,670,680,691,697,706,712,727,731,741,746,754,769,777,784,790,801,806,814,828,839,841,856,859,868,881,889,895,904,913,923,928,941,948,952,959,973,981,987,994,1010,1014,1025,1029,1036,1051,1055,1064,1072,1082,1095,1104,1110,1117,1126,1132,1147,1154,1161,1170,1177	1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
3,12,18,33,37,44,56,60,69,83,86,99,102,117,120,129,144,152,157,164,170,316,320,334,335,345,359,363,371,384,389,399,404,413,422,435,445,455,606,609,620,627,639,648,656,664,674,685,686,702,707,719,724,729,745,751,759,766,772,785,792,804,807,815,828,835,841,852,860,868,875,888,898,905,914,923,932,939,945,951,965,973,979,986,1000,1007,1016,1023,1028,1036,1050,1055,1067,1074,1086,1087,1097,1109,1120,1127,1130,1143,1155,1160,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,30,38,48,58,64,72,78,90,99,103,111,125,133,137,153,156,166,174,313,325,331,342,349,357,365,370,382,394,401,404,417,428,431,441,597,607,609,623,633,643,644,653,667,675,678,688,698,708,712,723,736,739,751,755,766,778,785,791,802,813,816,828,834,842,855,859,866,879,889,896,900,908,917,925,938,943,953,962,975,982,989,1002,1010,1015,1026,1030,1043,1052,1059,1068,1072,1080,1092,1104,1105,1120,1123,1130,1146,1149,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,23,32,37,43,57,66,75,79,86,101,103,113,121,129,138,147,159,165,174,315,320,331,339,346,360,361,373,383,390,400,405,417,428,435,440,470,603,609,622,629,638,646,655,668,674,681,693,698,711,716,723,736,745,753,755,764,776,782,795,797,810,818,825,838,840,849,864,870,875,882,894,903,908,921,927,936,946,956,965,974,979,992,1002,1010,1016,1024,1030,1036,1047,1053,1062,1072,1083,1090,1098,1108,1115,1123,1135,1146,1148,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,32,36,45,57,62,73,83,93,100,109,115,122,130,138,152,158,166,172,317,322,333,336,350,354,362,376,379,387,402,407,414,425,434,441,597,609,615,621,633,637,645,658,663,675,680,690,702,704,718,723,734,739,750,757,768,776,782,788,805,808,817,827,833,844,849,860,872,874,885,894,900,909,923,926,936,943,956,962,975,981,990,996,1009,1013,1023,1033,1041,1047,1059,1062,1078,1082,1091,1097,1105,1114,1128,1136,1142,1156,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,20,27,34,49,54,61,70,77,89,100,109,118,123,135,141,149,160,162,173,315,323,333,342,345,360,364,374,383,395,401,410,413,426,431,445,596,604,615,623,630,639,646,654,662,673,679,686,697,709,717,727,737,740,751,757,766,776,787,794,801,810,815,824,833,840,855,857,865,875,883,891,905,915,921,931,941,943,954,964,968,979,986,997,1003,1014,1027,1028,1042,1045,1054,1064,1074,1079,1092,1101,1113,1118,1121,1132,1142,1154,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,19,33,42,49,51,60,73,79,92,95,106,112,123,131,141,145,160,169,179,313,321,334,339,348,357,367,374,382,394,397,407,413,420,431,445,456,606,610,619,630,643,644,657,666,673,685,691,701,710,715,726,729,743,748,758,771,776,785,794,804,805,819,831,833,842,857,863,866,875,888,898,906,916,922,929,936,947,959,962,976,984,987,999,1009,1011,1023,1034,1041,1046,1061,1062,1073,1084,1093,1103,1110,1116,1127,1132,1146,1149,1162,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,26,40,47,58,61,75,76,90,99,110,118,124,132,143,149,156,163,176,317,318,331,338,350,359,369,374,384,387,398,410,414,427,429,443,469,604,615,625,632,637,646,655,667,672,683,687,701,705,713,721,730,742,750,759,765,780,781,797,802,813,819,830,832,840,848,859,870,882,883,898,902,908,919,928,938,944,951,964,972,976,991,996,1002,1012,1021,1030,1041,1049,1059,1062,1071,1082,1095,1101,1107,1119,1128,1138,1142,1152,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,31,39,49,59,67,73,84,93,101,102,116,124,131,138,151,153,168,174,316,319,333,341,348,355,363,377,380,390,395,409,419,425,432,445,596,603,616,621,630,638,646,657,668,673,683,687,701,709,718,721,735,746,753,759,767,772,782,795,800,808,815,824,835,846,852,864,866,874,891,898,901,911,919,925,937,945,958,967,969,977,990,1001,1005,1013,1026,1029,1039,1052,1057,1062,1073,1080,1091,1096,1109,1117,1123,1132,1143,1155,1157,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,27,42,48,54,61,74,80,90,96,104,113,119,129,137,150,158,165,174,316,323,327,336,351,352,362,376,381,386,400,411,417,421,434,440,470,607,617,622,633,638,644,658,662,673,678,686,696,703,720,726,731,737,746,761,763,779,787,793,805,809,821,823,836,843,850,862,871,874,883,897,902,910,917,933,940,947,956,960,971,978,986,999,1004,1015,1021,1028,1041,1047,1056,1069,1073,1079,1091,1098,1105,1113,1124,1131,1141,1154,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,29,34,44,56,61,72,79,86,96,107,118,124,133,136,152,161,170,171,316,323,334,339,344,360,362,373,381,389,400,412,416,427,431,445,465,607,615,622,631,636,648,653,668,673,684,687,701,709,717,726,734,741,747,757,768,774,787,790,797,808,816,829,839,840,854,861,873,882,889,891,903,910,919,932,938,945,953,966,971,977,989,1001,1009,1012,1027,1036,1042,1046,1058,1063,1074,1085,1091,1097,1106,1117,1127,1133,1141,1155,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,31,35,44,52,62,68,84,89,98,103,113,125,133,144,151,158,169,176,313,319,332,337,351,359,369,375,378,392,398,407,413,427,435,439,598,605,613,621,629,641,646,655,664,673,682,689,700,704,716,727,729,742,750,757,763,772,788,792,798,811,816,827,837,845,849,862,873,875,885,893,901,913,919,926,941,949,958,961,972,978,988,1001,1005,1018,1023,1034,1041,1045,1059,1062,1071,1085,1090,1102,1108,1118,1126,1135,1147,1148,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,18,29,39,48,57,64,71,78,91,99,103,112,123,133,142,148,157,168,179,313,322,333,337,348,354,361,371,379,394,397,407,415,421,432,443,468,608,610,624,630,637,647,660,664,676,683,691,701,705,712,720,729,739,747,754,764,772,785,797,805,807,816,825,839,841,852,857,870,877,889,897,903,915,919,928,941,946,952,961,969,979,991,995,1005,1017,1021,1032,1037,1047,1055,1063,1077,1084,1088,1097,1111,1120,1122,1137,1141,1153,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,24,27,35,49,58,63,71,80,91,96,106,114,127,133,140,153,155,162,178,188,319,328,339,349,355,361,373,381,395,397,410,417,424,436,440,456,604,616,619,629,642,651,660,666,669,680,690,700,708,713,724,732,737,754,755,767,773,785,794,798,811,817,827,834,842,852,858,872,876,889,891,901,914,917,929,937,949,951,966,975,978,989,998,1004,1015,1019,1031,1042,1045,1055,1069,1076,1082,1088,1096,1107,1120,1125,1133,1140,1155,1157,1168	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,22,33,39,49,54,60,71,82,91,99,106,117,125,136,137,145,160,166,176,180,326,334,339,347,357,362,371,379,392,402,404,412,422,433,445,467,605,615,626,629,638,646,656,664,675,680,692,701,711,717,728,730,744,746,760,764,773,787,794,801,812,815,825,832,846,855,863,867,882,885,896,907,915,921,925,940,946,954,965,976,979,988,997,1006,1014,1025,1035,1042,1045,1053,1064,1077,1081,1093,1098,1109,1121,1127,1138,1142,1152,1163,1166,1174	0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
5,12,23,31,38,48,59,62,69,82,85,96,109,113,121,133,140,152,160,165,173,197,320,327,339,348,359,369,373,380,391,399,409,415,428,436,439,597,605,611,622,627,638,649,652,669,672,680,690,700,708,719,725,731,746,752,755,766,775,783,794,803,813,815,831,837,842,850,863,871,880,887,898,907,908,922,927,936,949,955,962,968,978,988,1001,1010,1014,1026,1029,1043,1052,1059,1063,1072,1079,1091,1099,1109,1114,1125,1132,1143,1151,1160,1166	1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
6,14,20,31,37,48,58,60,75,81,90,96,103,117,124,130,143,146,160,168,176,191,324,329,336,344,353,367,374,380,389,401,411,418,424,429,440,597,601,609,626,629,642,647,654,663,670,683,690,696,707,712,728,735,739,749,755,771,772,786,795,799,813,819,827,837,846,855,859,873,881,885,897,907,909,920,927,939,943,959,963,974,979,985,1001,1002,1015,1027,1031,1039,1046,1061,1069,1075,1085,1088,1099,1110,1114,1124,1136,1142,1150,1161,1166,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,11,19,28,39,45,58,64,69,77,92,98,103,117,120,128,144,153,160,165,178,183,320,328,337,352,359,363,370,381,388,398,408,417,426,436,444,457,607,612,624,628,637,644,653,667,677,679,690,700,706,718,727,735,742,749,758,770,773,783,790,798,806,819,824,832,848,854,860,872,881,883,895,906,915,924,930,941,950,958,960,970,982,987,994,1002,1013,1020,1028,1038,1047,1059,1066,1073,1082,1095,1103,1106,1113,1128,1133,1143,1150,1162,1170,1174	1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,13,20,27,42,47,57,63,69,76,90,98,103,114,121,136,139,146,158,167,171,186,326,331,340,348,354,368,375,383,387,400,404,417,426,436,441,598,601,616,623,627,637,648,660,661,671,686,687,699,703,714,728,735,740,749,755,767,780,788,793,804,813,820,823,839,843,849,863,873,877,887,893,907,914,917,926,937,943,957,967,970,983,993,1000,1006,1016,1023,1029,1039,1049,1054,1064,1075,1082,1093,1099,1106,1119,1125,1138,1140,1148,1163,1170	1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,10,24,25,39,44,57,63,72,78,93,99,108,119,122,131,137,148,156,169,173,180,323,331,337,348,356,366,374,382,394,397,412,418,424,436,446,597,603,613,626,633,636,644,657,660,676,678,691,694,707,716,727,729,744,750,762,769,779,786,792,804,809,816,831,837,847,851,858,868,876,890,896,902,912,918,932,939,950,955,960,969,982,991,994,1004,1015,1027,1029,1042,1049,1056,1065,1077,1080,1093,1096,1111,1115,1122,1130,1147,1151,1157,1168,1174	1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,25,30,35,48,56,65,71,83,86,96,106,118,124,135,141,148,155,168,171,185,326,328,341,346,359,366,369,381,388,400,411,417,424,434,444,598,606,612,622,632,635,651,657,664,673,681,690,698,710,718,720,733,745,746,755,769,772,783,795,798,813,819,826,839,845,851,859,866,882,887,898,907,910,922,932,939,945,952,963,976,980,985,1002,1008,1013,1023,1035,1038,1051,1055,1066,1071,1079,1095,1103,1109,1118,1124,1135,1145,1154,1161,1167,1173	0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,14,24,26,40,49,52,64,70,84,86,102,105,114,120,135,139,152,155,167,177,316,324,332,343,346,354,363,370,381,391,400,409,413,425,436,442,456,606,614,619,630,639,649,656,662,671,685,687,702,706,720,725,737,742,752,762,763,773,783,792,804,812,818,824,837,840,855,862,871,881,885,891,904,912,921,927,935,945,958,964,975,978,993,995,1008,1017,1022,1028,1039,1050,1057,1069,1073,1082,1094,1100,1106,1115,1127,1133,1139,1151,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,19,25,40,45,54,66,73,84,91,97,105,114,124,133,144,147,159,165,172,180,321,328,337,351,353,367,370,379,390,402,410,418,428,429,438,599,604,610,619,633,639,647,653,662,672,682,689,700,704,717,721,732,740,747,759,765,780,786,792,800,813,819,823,832,840,851,864,868,880,886,899,907,913,923,932,937,943,955,963,973,976,992,998,1007,1017,1020,1031,1043,1052,1055,1066,1073,1081,1092,1099,1108,1115,1130,1135,1145,1147,1159,1166	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,25,29,36,46,59,60,74,81,90,95,103,115,126,128,139,147,157,168,175,199,323,332,343,347,360,366,376,385,395,400,404,414,423,433,440,596,603,611,619,629,642,647,653,662,670,683,686,700,707,718,728,736,740,748,758,766,778,787,790,801,810,817,826,833,845,852,860,866,877,883,896,908,911,924,928,936,950,958,960,970,985,992,1000,1005,1016,1027,1031,1042,1050,1055,1066,1072,1085,1094,1096,1105,1115,1125,1132,1141,1147,1156,1171,1174	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,23,27,34,46,58,61,72,78,92,98,105,116,122,130,137,146,161,163,178,182,325,333,337,350,358,366,370,379,389,398,403,415,426,433,442,466,603,616,622,632,637,644,660,661,673,679,689,703,705,719,728,732,741,751,760,766,772,785,795,801,807,821,828,838,841,855,860,869,879,883,899,907,908,922,927,936,943,953,962,975,984,985,1001,1005,1012,1022,1030,1039,1045,1060,1065,1075,1081,1087,1098,1111,1118,1123,1137,1143,1155,1160,1169	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,17,29,42,51,54,61,73,83,85,101,107,115,125,134,141,150,158,162,170,183,321,334,337,346,359,363,374,386,388,397,411,416,424,431,438,469,603,612,620,627,643,649,653,662,674,680,692,700,707,715,728,732,738,754,755,764,779,784,789,800,806,817,823,840,843,853,861,870,880,888,897,902,912,924,927,938,943,953,960,970,978,993,995,1002,1016,1020,1032,1036,1046,1053,1062,1073,1084,1094,1104,1107,1115,1123,1133,1145,1154,1160,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,19,28,37,47,54,63,73,79,93,98,104,112,122,128,140,149,160,170,172,179,320,332,338,351,360,367,377,379,390,397,405,419,421,433,443,469,605,615,619,631,638,649,658,666,675,679,688,698,707,712,722,731,739,750,759,771,775,784,793,797,808,816,831,832,846,851,859,872,879,889,896,906,915,923,926,934,945,954,961,972,982,986,997,1009,1016,1027,1029,1041,1045,1056,1068,1076,1087,1095,1099,1106,1121,1127,1135,1143,1152,1161,1168,1178	1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
5,12,23,33,36,43,54,68,73,82,92,97,109,111,126,129,138,147,157,170,172,316,318,330,336,345,352,369,372,381,393,401,406,418,424,429,441,450,603,609,619,628,637,649,654,667,672,677,689,699,711,712,725,733,742,748,760,763,776,782,791,802,812,821,824,832,847,852,857,871,882,890,895,900,913,924,925,939,944,954,967,971,983,992,996,1008,1012,1021,1027,1040,1053,1056,1062,1078,1080,1092,1097,1113,1119,1124,1138,1139,1154,1158,1165,1173	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
2,8,23,33,40,45,52,60,72,81,93,98,106,112,121,132,140,150,158,163,173,313,324,328,338,347,358,362,375,384,391,396,410,420,427,436,445,455,603,614,621,633,640,651,654,664,677,680,694,695,706,714,722,730,742,753,761,766,772,787,796,801,809,820,829,835,841,853,857,866,875,885,892,901,911,925,933,935,944,955,964,968,983,993,997,1010,1018,1025,1036,1041,1047,1056,1066,1071,1081,1092,1101,1109,1117,1125,1138,1141,1150,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,25,38,49,53,60,75,82,92,99,108,112,127,128,137,150,162,167,177,315,322,335,343,344,355,363,371,385,394,399,411,413,422,432,446,597,607,609,621,628,638,647,657,663,674,684,688,695,708,714,725,730,740,747,761,765,774,783,797,801,809,822,824,832,844,850,860,870,875,885,894,900,911,921,927,935,950,959,961,971,984,991,1002,1005,1016,1025,1036,1039,1051,1060,1062,1071,1080,1088,1100,1109,1121,1129,1137,1139,1149,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,31,39,47,55,60,73,81,85,95,110,118,127,132,141,148,156,168,173,317,322,330,338,351,358,366,371,381,387,401,405,413,425,430,438,600,609,612,619,633,639,644,656,665,677,679,692,700,705,714,727,735,745,751,759,769,777,784,791,804,807,820,828,838,842,852,865,873,877,884,892,908,910,919,933,939,948,958,967,969,984,993,997,1009,1013,1022,1031,1040,1048,1059,1063,1076,1083,1089,1098,1106,1116,1126,1134,1141,1155,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,33,38,50,58,59,73,78,89,97,102,116,126,130,141,149,161,164,177,317,326,332,339,348,354,368,375,380,389,403,406,413,421,431,443,458,603,612,624,626,640,650,656,662,673,684,692,703,706,716,726,736,745,747,763,770,778,783,796,797,810,817,824,837,841,856,860,871,881,888,891,901,914,918,929,936,950,953,964,974,984,986,995,1006,1015,1025,1032,1044,1048,1060,1069,1075,1086,1094,1101,1112,1117,1129,1132,1145,1154,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,26,39,48,55,59,70,84,91,95,102,111,121,135,137,146,153,162,178,315,321,332,336,346,358,369,370,378,388,399,404,419,428,431,441,599,608,617,619,634,639,647,658,666,671,684,690,703,708,714,726,730,743,751,758,764,773,784,793,799,813,822,824,833,841,856,860,868,876,889,893,900,914,923,927,934,943,953,965,973,982,986,999,1002,1014,1025,1030,1037,1045,1061,1063,1077,1084,1095,1103,1105,1114,1124,1137,1141,1149,1160,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,32,41,46,55,65,70,76,91,94,104,112,126,129,142,152,159,169,173,314,320,331,339,346,357,362,377,384,393,399,410,417,424,435,439,597,604,617,620,629,635,649,658,665,671,681,693,695,709,719,724,734,744,754,757,763,774,783,795,798,809,817,828,832,842,851,862,869,882,888,894,902,912,921,933,940,945,952,964,974,983,989,1001,1007,1013,1020,1033,1042,1048,1054,1068,1073,1081,1096,1103,1108,1118,1122,1138,1143,1148,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,20,33,39,46,54,62,75,79,92,94,104,118,122,130,140,146,157,167,176,316,322,329,339,345,355,364,375,385,389,396,409,414,425,430,439,600,606,610,623,634,643,646,654,666,672,684,690,700,708,713,726,730,739,752,761,769,775,781,793,804,808,822,830,833,840,850,860,872,879,887,892,904,913,917,926,938,944,952,966,970,980,989,1000,1004,1017,1026,1029,1039,1050,1054,1067,1072,1087,1093,1102,1111,1116,1123,1132,1146,1150,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,28,34,50,58,60,75,82,88,101,108,114,123,131,139,150,156,162,176,314,320,332,337,344,353,369,375,381,393,402,408,412,424,432,439,597,604,613,624,634,635,648,660,664,677,679,693,694,709,714,728,733,742,751,756,763,776,785,789,802,807,822,831,837,847,852,860,870,881,882,897,905,914,924,933,939,944,954,961,972,977,988,1001,1007,1012,1024,1034,1038,1045,1061,1066,1072,1084,1096,1100,1110,1120,1122,1137,1142,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,28,42,50,59,60,70,80,91,97,108,116,122,134,143,147,158,164,171,180,319,331,338,344,357,361,376,383,391,401,404,417,424,436,444,596,608,612,619,629,635,651,656,669,675,685,693,699,711,717,728,737,743,746,758,769,776,788,790,804,812,816,825,837,848,855,862,873,875,885,893,907,915,920,927,937,948,953,961,973,984,990,1002,1004,1018,1026,1030,1037,1046,1060,1063,1076,1079,1087,1099,1110,1118,1123,1136,1140,1152,1156,1165	1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,10,17,34,39,43,59,65,73,81,88,98,111,118,127,133,139,149,157,162,177,315,324,332,337,345,353,367,371,383,390,396,409,419,421,432,444,448,607,615,626,634,640,645,657,666,675,682,693,696,708,715,723,731,741,753,760,763,777,784,789,803,812,815,831,834,840,855,859,866,881,884,896,902,908,919,933,939,943,959,966,972,984,988,996,1002,1017,1027,1029,1039,1048,1054,1062,1077,1086,1088,1104,1109,1121,1126,1138,1141,1153,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,30,40,44,55,66,68,79,90,101,105,114,121,131,139,151,161,169,177,314,322,335,337,346,355,362,370,384,389,397,410,419,428,430,442,596,603,612,618,634,641,648,657,666,675,684,694,698,704,715,722,729,742,748,755,766,772,780,797,802,812,822,830,834,840,849,858,871,874,890,895,908,911,925,926,935,947,953,965,972,983,988,999,1003,1012,1019,1029,1042,1048,1058,1064,1072,1085,1089,1100,1111,1119,1128,1135,1139,1147,1157,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,31,35,51,57,60,75,82,92,96,109,119,124,130,136,153,157,170,172,315,326,330,336,347,355,368,369,383,387,399,411,418,427,436,442,460,603,614,622,628,640,652,654,666,670,682,693,697,708,717,725,737,742,749,759,765,776,783,789,805,807,819,823,833,842,850,863,871,882,883,895,900,914,920,932,935,946,955,967,968,976,986,998,1005,1012,1021,1035,1039,1049,1057,1064,1071,1080,1089,1101,1107,1118,1127,1131,1146,1155,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,26,38,47,54,61,75,84,87,94,109,118,121,136,140,150,161,168,175,315,324,333,339,352,354,364,375,379,392,399,404,416,426,432,439,596,604,612,621,634,642,648,655,668,677,679,691,700,709,713,727,734,741,747,755,769,772,780,797,801,807,817,824,833,846,850,863,873,877,886,898,902,916,923,932,937,949,953,968,969,978,989,997,1010,1016,1022,1028,1036,1048,1055,1066,1076,1080,1088,1102,1107,1116,1128,1137,1139,1148,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,33,42,46,59,64,74,83,90,94,108,118,120,134,144,150,158,170,175,196,326,333,339,351,359,364,369,383,395,400,411,418,427,432,444,597,603,613,621,634,641,644,657,662,674,679,688,703,705,719,726,735,738,749,759,770,777,788,792,799,811,820,824,832,845,855,862,871,877,883,894,907,916,917,929,939,949,951,961,970,979,988,1000,1003,1011,1026,1033,1039,1047,1058,1065,1072,1084,1091,1096,1104,1121,1129,1137,1143,1152,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,24,27,37,47,56,66,71,82,92,101,102,118,126,129,142,147,160,166,173,314,322,330,339,346,359,365,376,384,388,395,405,413,425,430,442,600,602,613,626,632,638,644,656,666,673,678,691,696,711,712,722,730,742,753,761,767,779,785,792,798,813,817,824,836,845,854,863,872,878,884,897,906,916,917,930,935,946,953,962,974,981,991,999,1008,1014,1026,1035,1044,1048,1057,1064,1074,1087,1091,1103,1104,1118,1122,1135,1145,1148,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,31,39,47,58,62,73,80,92,95,104,114,124,129,142,149,156,166,172,314,324,333,341,350,358,361,370,383,393,402,409,413,428,430,441,463,602,613,625,629,640,644,654,665,670,682,687,695,706,715,724,737,738,749,754,765,772,785,792,804,807,814,828,837,841,850,862,868,877,889,895,908,914,923,929,934,944,951,966,968,981,985,998,1004,1016,1023,1032,1037,1047,1058,1069,1076,1084,1094,1100,1111,1117,1128,1135,1141,1154,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,29,36,44,58,63,73,81,89,97,105,112,126,129,138,152,160,165,174,317,320,333,340,348,353,362,372,379,386,401,405,418,421,429,442,447,602,612,624,629,635,650,659,664,672,686,690,701,704,718,723,730,743,750,759,770,778,780,797,802,805,821,825,833,844,851,861,873,876,886,893,905,915,920,928,942,946,958,963,971,977,991,994,1009,1011,1020,1032,1038,1049,1061,1067,1076,1082,1091,1097,1107,1117,1124,1133,1143,1148,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,25,28,35,48,56,64,72,80,92,96,110,112,121,130,138,147,156,164,173,313,324,328,337,345,360,361,370,381,389,399,410,417,428,437,444,599,601,612,618,627,637,645,657,666,669,685,686,695,706,717,728,736,738,748,754,769,776,785,790,802,813,819,826,835,847,852,858,871,882,888,896,901,911,917,932,941,942,955,966,972,978,986,993,1006,1014,1025,1035,1039,1050,1062,1064,1072,1085,1089,1098,1108,1118,1123,1134,1140,1147,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,26,35,50,54,66,71,77,88,95,110,118,126,128,137,148,162,166,171,314,320,334,335,350,355,362,372,386,389,395,411,415,424,429,439,600,609,617,623,631,640,649,660,664,676,684,687,702,710,719,722,735,746,750,762,767,775,784,791,798,811,821,830,839,840,848,864,865,878,891,892,901,916,918,933,938,943,952,959,972,977,985,997,1008,1011,1021,1028,1042,1047,1056,1066,1075,1084,1089,1101,1105,1121,1126,1138,1140,1152,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,33,39,44,52,59,73,80,93,98,104,111,123,131,142,152,159,169,173,317,322,334,337,345,359,363,376,385,394,397,410,414,425,434,442,465,609,615,624,631,637,647,654,667,671,682,688,700,710,714,721,730,743,751,758,769,774,782,791,801,810,820,831,836,846,853,859,870,874,883,894,902,913,922,929,935,945,952,967,972,983,988,998,1002,1013,1022,1028,1038,1045,1057,1065,1073,1080,1092,1101,1106,1119,1128,1137,1140,1154,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,23,29,41,43,53,60,73,79,85,99,108,118,122,128,145,147,161,165,173,315,323,334,335,349,356,367,374,384,388,399,406,415,425,437,445,600,604,610,618,627,637,648,655,668,676,678,693,699,710,714,722,734,739,754,761,769,774,786,795,804,808,819,825,837,844,856,864,872,875,884,891,905,908,924,927,936,944,952,963,976,983,987,995,1006,1017,1025,1032,1040,1050,1054,1068,1078,1082,1095,1098,1113,1120,1122,1131,1147,1153,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,32,37,49,51,63,71,83,87,101,110,113,121,131,140,149,153,163,172,316,326,331,342,345,360,367,369,381,389,402,409,419,428,433,441,460,603,613,618,634,638,643,652,667,674,683,687,695,703,714,724,736,745,750,756,770,777,781,794,803,808,814,828,839,845,852,862,874,879,887,894,905,914,917,933,937,949,954,959,971,983,993,998,1010,1017,1025,1029,1039,1048,1059,1070,1076,1080,1092,1096,1110,1119,1126,1133,1144,1155,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,32,36,43,58,67,72,78,93,99,110,113,122,132,143,153,159,170,175,315,326,331,343,350,354,362,376,385,393,399,410,417,425,430,444,597,603,610,621,634,638,644,658,668,671,683,687,698,709,715,721,729,739,748,762,768,774,783,795,803,811,822,823,835,842,850,858,868,879,889,893,902,914,922,932,934,942,951,966,973,985,992,997,1004,1018,1021,1028,1042,1052,1054,1068,1076,1082,1088,1103,1105,1116,1128,1132,1146,1154,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,29,40,51,57,67,70,84,89,101,110,117,121,135,144,147,156,166,174,317,322,331,343,344,354,368,374,380,388,401,403,416,427,434,439,596,606,613,619,628,637,650,657,666,673,678,689,701,709,716,725,734,744,753,760,768,777,786,792,799,808,821,830,836,842,850,859,873,875,889,891,904,913,922,933,934,945,956,964,972,977,986,995,1010,1016,1023,1035,1039,1052,1056,1064,1078,1083,1090,1100,1106,1113,1122,1130,1139,1148,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,20,26,40,43,56,67,76,78,86,100,109,119,125,130,137,150,162,166,177,314,326,333,342,346,353,368,377,383,390,401,407,419,421,431,442,466,604,616,622,631,639,649,656,667,674,684,687,703,710,715,721,731,739,751,757,767,777,788,794,800,808,814,824,837,846,856,863,869,874,886,898,904,914,924,932,935,949,959,963,968,984,991,1001,1002,1011,1024,1028,1042,1046,1055,1065,1071,1080,1094,1096,1110,1114,1124,1136,1144,1153,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,33,37,48,52,62,75,78,91,100,102,113,126,131,142,148,157,163,177,316,325,331,340,344,357,365,375,383,386,402,410,414,427,432,439,457,605,614,618,633,639,647,657,665,670,678,686,695,704,714,723,737,744,749,754,770,774,782,790,804,806,816,830,831,847,854,862,872,876,888,893,908,915,921,926,939,945,952,963,973,977,991,999,1006,1016,1024,1029,1039,1052,1060,1066,1071,1082,1088,1104,1109,1113,1126,1136,1144,1148,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,31,40,47,56,63,69,80,88,98,108,112,121,131,143,151,155,163,177,180,321,332,335,351,357,361,375,386,394,398,409,418,425,432,446,598,608,616,620,633,638,646,654,667,675,679,688,700,709,716,727,732,744,747,760,771,773,782,796,800,811,820,829,838,843,850,864,867,874,889,899,902,915,920,932,934,950,952,962,974,980,991,1001,1007,1017,1023,1029,1036,1052,1060,1070,1076,1080,1088,1096,1113,1120,1126,1137,1143,1148,1162,1169,1174	1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,16,19,27,41,43,52,67,75,80,90,94,109,114,125,134,142,153,160,163,173,184,322,329,342,345,353,365,376,385,392,398,409,418,422,433,446,596,607,611,621,633,637,649,653,660,671,680,692,694,710,715,722,729,741,747,756,765,772,785,792,799,813,820,828,833,841,852,860,871,875,885,896,906,911,921,928,935,950,956,965,975,982,992,997,1003,1012,1022,1028,1043,1050,1055,1066,1079,1082,1091,1102,1112,1118,1122,1135,1146,1154,1162,1168,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
8,10,25,29,37,47,53,68,72,85,93,98,104,118,121,132,137,145,157,162,177,187,318,328,335,346,358,363,375,380,389,400,405,415,426,433,445,598,605,614,626,633,642,648,654,665,670,681,692,694,703,716,724,737,746,754,757,763,777,783,794,799,814,817,829,837,843,848,858,873,877,885,896,906,912,924,932,942,946,952,967,976,983,989,997,1004,1012,1025,1028,1043,1045,1054,1062,1072,1084,1087,1100,1105,1121,1128,1133,1141,1149,1157,1167,1173	0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,10,25,31,35,48,57,67,71,84,93,99,102,115,122,132,137,149,162,166,179,180,322,335,341,347,354,362,374,379,391,397,404,419,421,431,440,598,606,612,624,634,639,649,658,663,670,678,691,702,705,713,725,733,738,751,758,764,774,786,793,798,811,821,824,836,843,853,859,868,878,888,895,908,911,920,928,937,944,951,965,973,983,992,998,1003,1011,1024,1032,1037,1049,1058,1069,1073,1087,1093,1103,1106,1114,1127,1138,1146,1154,1162,1168,1173	1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,9,17,30,40,49,52,66,71,80,91,95,106,117,126,134,137,146,160,163,178,184,320,329,340,351,357,366,375,384,392,401,404,413,421,435,439,597,609,611,623,628,639,645,652,662,677,684,693,700,705,712,726,730,741,750,760,771,772,786,795,797,810,819,825,839,844,855,862,866,879,884,897,903,914,921,933,942,948,955,963,974,982,986,998,1005,1012,1024,1028,1044,1052,1054,1070,1075,1082,1091,1104,1107,1121,1122,1138,1139,1147,1158,1171,1174	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,14,22,25,35,44,53,62,72,78,92,96,106,117,123,129,141,146,160,167,177,317,323,328,338,352,358,367,374,380,390,397,404,419,421,437,439,456,601,616,620,627,636,649,660,666,672,685,691,695,707,719,720,734,745,753,761,767,776,783,793,801,811,819,826,839,846,849,862,870,877,887,892,908,915,920,930,935,947,951,962,968,980,991,997,1007,1018,1024,1033,1041,1047,1057,1064,1074,1087,1088,1096,1109,1115,1130,1134,1142,1149,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,19,33,36,46,54,64,75,80,93,94,108,118,122,130,142,149,161,169,178,184,326,327,336,344,360,362,371,382,390,399,407,420,423,432,442,468,605,615,624,628,637,651,658,664,673,682,693,696,707,716,723,732,745,747,754,767,778,786,796,803,814,818,829,834,845,851,863,872,874,883,894,905,908,919,927,934,944,951,960,973,983,990,1001,1010,1018,1027,1034,1038,1049,1058,1069,1074,1085,1094,1103,1105,1120,1128,1130,1146,1149,1164,1168	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,21,31,42,47,52,68,71,80,86,94,107,119,125,133,138,147,158,164,176,188,322,327,340,351,356,368,376,385,386,400,404,418,421,436,443,453,603,617,620,627,638,644,654,666,672,684,686,698,707,713,725,732,742,754,757,769,773,781,792,803,809,822,829,839,842,849,864,867,876,885,898,906,908,922,931,941,944,954,960,971,979,989,1002,1006,1012,1026,1029,1042,1046,1058,1062,1073,1087,1093,1096,1109,1117,1125,1133,1140,1147,1160,1169,1177	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,13,22,30,41,50,52,66,70,79,93,98,103,112,120,134,142,147,156,170,179,317,320,331,338,352,356,366,372,378,388,398,408,416,423,432,440,466,605,609,621,632,643,650,653,668,671,678,687,696,703,719,722,735,745,750,754,770,779,780,793,801,810,822,823,835,844,851,862,873,878,882,899,900,913,922,926,936,946,957,965,968,979,989,995,1006,1011,1023,1030,1037,1051,1058,1063,1078,1082,1093,1099,1111,1119,1124,1133,1142,1151,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,29,40,45,56,60,68,80,88,99,107,111,120,134,140,153,154,164,175,201,324,332,343,346,354,363,372,385,390,399,411,414,427,433,445,598,603,615,621,630,635,644,652,665,676,680,686,697,707,714,725,730,742,749,757,769,776,785,791,803,813,814,827,833,840,854,862,865,878,888,899,904,915,924,930,937,948,951,959,968,977,989,993,1003,1016,1025,1029,1042,1050,1061,1070,1072,1085,1091,1099,1109,1120,1122,1131,1144,1152,1159,1166,1174	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,23,26,38,42,52,62,69,80,87,94,103,111,125,133,139,147,161,164,173,190,326,330,341,349,353,365,373,383,387,396,411,413,428,433,441,451,608,613,623,630,636,645,654,661,676,683,686,699,708,717,724,731,738,747,759,770,775,781,789,802,812,814,826,836,845,849,864,865,875,886,893,901,914,923,930,941,944,957,960,974,980,993,995,1008,1012,1024,1030,1044,1045,1056,1064,1074,1085,1092,1096,1112,1117,1125,1135,1145,1148,1162,1165,1177	0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,18,28,42,46,55,65,73,81,93,99,107,113,125,130,138,151,160,163,175,185,321,335,340,346,352,365,377,380,386,397,411,416,427,431,442,597,605,615,620,632,635,646,656,667,671,682,691,703,707,717,728,730,739,747,755,763,772,781,796,799,810,814,826,832,847,850,864,867,881,884,898,904,913,918,933,940,947,954,964,968,984,986,998,1009,1014,1026,1035,1039,1052,1061,1066,1073,1086,1092,1097,1112,1114,1129,1132,1144,1149,1158,1168,1177	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
6,14,17,29,34,43,59,67,68,84,89,98,102,111,126,136,144,145,161,167,177,187,321,331,342,350,356,366,370,382,389,400,405,418,421,431,440,597,605,612,618,633,637,649,658,666,675,685,687,699,705,712,727,733,740,751,758,770,777,780,797,798,806,817,825,832,841,857,863,869,881,883,895,906,909,920,930,936,950,952,963,973,978,992,996,1005,1014,1020,1028,1044,1052,1061,1064,1070,1086,1093,1097,1110,1118,1129,1133,1144,1154,1157,1165,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,20,31,35,47,55,65,76,83,85,100,108,111,124,134,138,145,156,166,173,179,324,328,342,349,359,368,375,381,389,395,406,414,427,433,442,596,602,612,618,634,637,645,656,668,671,679,690,695,705,715,724,737,740,751,756,768,777,782,792,804,811,819,830,831,840,851,859,867,875,886,895,903,909,920,927,934,949,953,960,971,982,989,1001,1007,1017,1020,1029,1042,1047,1059,1070,1073,1080,1095,1098,1106,1119,1123,1134,1142,1153,1162,1166	1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,18,33,40,46,53,64,69,79,89,100,109,111,127,132,138,153,156,165,173,188,318,329,335,344,360,365,373,381,387,398,408,413,429,430,443,596,602,614,623,632,638,646,656,663,669,685,694,701,703,717,727,732,741,748,759,763,776,783,789,799,811,818,830,838,847,851,865,869,877,884,893,904,914,922,928,934,944,953,961,973,981,989,1002,1004,1015,1025,1033,1037,1051,1060,1067,1074,1082,1092,1099,1106,1118,1129,1130,1142,1152,1162,1167,1175	0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,16,21,33,36,49,56,65,69,81,86,95,104,111,125,129,138,152,159,162,171,314,326,331,339,348,360,365,372,381,389,401,410,417,424,430,445,467,603,609,620,633,637,646,660,663,669,685,690,696,704,714,723,735,741,747,758,763,771,787,791,802,807,817,830,838,843,850,857,871,881,882,891,906,911,923,932,935,947,951,963,974,979,991,1000,1009,1017,1020,1032,1037,1052,1054,1062,1077,1082,1089,1099,1110,1119,1123,1133,1141,1153,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,26,42,47,53,63,68,78,86,95,105,117,123,133,138,152,158,166,177,316,320,329,335,349,353,363,375,378,389,403,408,420,425,434,440,598,601,617,622,628,636,647,657,665,676,684,688,696,704,713,727,736,741,747,762,763,776,784,789,799,812,815,828,839,846,849,858,871,875,889,894,908,909,921,933,937,943,956,968,976,983,989,1001,1008,1019,1025,1030,1038,1052,1061,1064,1078,1086,1093,1101,1107,1114,1125,1134,1143,1150,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,17,28,38,49,55,61,76,79,88,97,109,111,124,132,144,147,156,163,176,314,325,333,335,349,359,366,375,379,388,396,411,418,428,433,439,600,602,610,619,633,641,649,658,662,675,684,691,703,707,712,723,729,740,748,756,768,774,783,793,800,807,817,827,834,847,848,860,869,875,884,891,902,909,922,926,939,944,958,960,972,977,989,993,1005,1018,1025,1028,1038,1046,1061,1063,1074,1086,1091,1097,1106,1121,1122,1133,1139,1149,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,33,36,49,51,60,71,84,92,98,109,111,122,129,139,146,156,168,177,317,321,330,335,351,354,366,376,385,390,401,406,414,426,429,444,597,603,615,618,631,635,648,655,666,672,681,688,700,709,714,725,731,745,753,762,764,774,784,796,803,813,820,823,831,843,853,863,873,879,884,892,903,909,920,933,940,945,956,963,976,979,985,997,1007,1012,1024,1030,1039,1050,1054,1067,1075,1084,1095,1098,1107,1120,1129,1138,1141,1155,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,27,34,47,55,60,75,77,87,94,106,113,127,129,137,149,155,169,173,314,321,327,337,348,358,363,373,381,388,395,408,420,423,429,442,448,607,615,619,627,639,647,659,667,672,678,692,697,709,719,725,735,740,750,762,767,779,788,794,799,808,817,824,833,840,851,861,872,882,887,899,900,916,917,927,936,950,959,962,973,981,992,1001,1007,1012,1025,1036,1042,1046,1061,1065,1076,1086,1091,1096,1110,1119,1127,1132,1144,1150,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,29,37,50,55,66,76,79,87,94,106,114,127,136,139,146,157,168,178,314,325,331,340,344,353,367,372,380,387,396,409,414,426,436,439,598,609,615,626,628,638,648,653,661,677,685,687,700,710,714,722,733,741,754,757,763,774,782,793,800,813,819,828,834,845,855,863,871,879,890,893,901,908,923,925,939,945,954,965,971,977,992,995,1010,1014,1022,1034,1043,1048,1055,1069,1078,1080,1089,1098,1112,1118,1125,1136,1142,1148,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,29,38,47,55,62,70,79,89,99,103,111,126,134,143,152,157,163,171,313,318,332,340,346,358,363,372,381,395,400,405,417,428,436,439,599,606,610,623,630,639,652,656,667,672,685,692,702,711,715,725,737,740,752,759,766,776,783,790,798,812,821,825,837,845,853,861,872,881,888,895,902,916,923,929,934,943,954,961,969,981,986,998,1010,1015,1021,1034,1043,1051,1054,1064,1072,1083,1091,1102,1111,1118,1126,1135,1144,1150,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,23,33,39,47,57,66,71,84,92,95,103,112,123,129,137,151,159,163,174,314,324,328,341,351,356,369,373,380,391,397,409,413,421,429,440,596,602,616,618,634,638,644,659,666,675,681,687,696,711,715,724,729,739,746,755,764,778,781,796,801,811,819,830,838,844,852,860,873,879,885,895,905,916,922,925,941,943,952,964,971,979,989,996,1007,1016,1023,1029,1038,1045,1053,1062,1078,1080,1094,1097,1109,1114,1126,1137,1139,1149,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,19,29,37,49,56,62,75,82,88,97,105,119,124,136,142,152,154,164,172,180,323,330,335,349,359,361,375,378,391,397,410,415,428,436,440,450,602,610,619,634,643,651,656,667,672,681,686,702,705,715,720,731,746,749,755,769,777,788,794,803,813,822,824,839,847,854,859,873,879,888,895,907,910,918,929,934,945,956,961,972,980,992,995,1006,1016,1019,1034,1040,1045,1057,1066,1078,1085,1094,1101,1111,1116,1129,1138,1141,1153,1163,1165,1176	1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,13,17,29,39,49,57,64,69,85,88,100,109,115,123,134,142,146,159,170,171,315,319,331,343,350,359,362,375,378,388,400,405,417,423,436,445,600,608,612,620,628,635,644,655,666,673,685,688,696,708,716,726,733,745,749,760,767,776,780,795,799,807,814,823,833,842,848,860,870,876,890,894,901,911,918,931,936,947,957,965,975,977,990,996,1006,1016,1027,1032,1041,1047,1055,1062,1078,1084,1092,1104,1108,1119,1122,1131,1140,1147,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,29,37,48,59,65,73,78,91,98,106,118,119,128,138,151,155,168,175,315,323,330,342,351,352,365,369,384,388,399,410,420,425,430,442,600,609,615,621,630,639,650,652,668,669,685,694,697,706,718,722,733,743,748,761,764,775,787,793,801,813,814,827,833,846,853,861,865,880,886,896,906,913,921,930,942,949,951,966,973,983,988,1001,1007,1011,1021,1030,1044,1048,1061,1065,1078,1083,1091,1103,1105,1118,1123,1131,1145,1149,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,29,42,43,57,64,72,83,89,98,106,111,126,133,143,151,161,169,171,317,326,334,343,349,359,361,377,385,391,396,407,416,428,433,442,468,608,610,624,629,641,646,660,661,674,685,694,699,709,718,728,729,745,749,757,768,774,784,796,800,810,818,830,832,845,853,863,873,881,888,892,901,912,919,931,941,943,952,965,972,980,990,999,1009,1014,1023,1031,1044,1046,1054,1065,1078,1082,1093,1097,1108,1121,1123,1134,1143,1151,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,33,40,49,56,64,73,80,86,94,106,115,119,132,141,146,156,164,178,316,320,332,342,347,357,361,372,383,390,403,405,417,427,432,437,447,603,612,621,627,642,645,655,666,670,679,686,700,711,715,721,731,738,753,759,770,772,781,791,803,808,822,826,831,846,853,862,866,874,889,895,905,911,920,928,936,949,957,964,970,984,985,1000,1006,1014,1027,1028,1043,1046,1058,1070,1076,1079,1093,1101,1107,1116,1127,1133,1145,1153,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,27,41,42,51,65,73,81,85,101,105,118,125,135,144,147,157,166,174,184,324,332,339,346,358,366,371,381,394,399,404,418,424,431,442,459,604,614,619,630,636,647,654,667,672,681,688,695,705,716,724,732,738,748,758,770,779,787,790,797,814,816,826,838,841,855,865,867,877,888,895,901,913,919,927,936,947,953,966,973,981,987,999,1005,1012,1025,1029,1037,1046,1056,1064,1075,1083,1095,1098,1105,1119,1128,1131,1142,1153,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,11,21,30,37,50,51,60,71,83,87,94,102,114,120,129,143,150,161,164,174,313,326,330,338,351,353,361,373,380,388,401,407,413,425,429,442,599,602,609,621,634,637,648,654,666,671,679,691,702,708,714,725,733,743,747,758,769,775,780,794,799,813,822,827,837,847,849,858,870,882,890,893,907,910,917,928,938,949,957,960,970,984,992,996,1007,1014,1020,1036,1038,1052,1055,1067,1071,1080,1092,1099,1110,1117,1124,1138,1143,1153,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,20,27,37,46,52,66,73,85,87,94,110,113,121,132,137,147,156,168,177,314,319,327,341,349,353,363,371,384,391,400,406,412,427,432,439,597,603,613,626,629,637,648,654,665,669,682,688,702,703,714,722,735,738,747,760,766,779,783,792,799,808,816,823,833,842,851,864,872,875,890,893,903,912,918,925,942,943,951,966,969,977,993,997,1009,1015,1024,1031,1042,1050,1060,1063,1075,1083,1091,1099,1108,1116,1126,1137,1145,1154,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,21,26,34,50,52,63,69,85,93,96,106,116,124,130,136,146,160,170,173,313,322,335,341,346,359,368,372,381,395,402,407,420,424,430,443,599,607,617,621,629,636,651,654,664,672,682,686,695,707,715,726,736,743,747,761,765,778,780,793,802,809,818,824,831,848,852,857,866,882,883,895,906,915,923,926,939,946,956,964,970,981,986,1001,1003,1010,1023,1033,1040,1048,1059,1067,1073,1084,1090,1099,1107,1121,1126,1135,1145,1152,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,26,35,44,52,60,72,76,87,94,110,115,124,133,144,149,160,164,172,317,323,332,336,348,359,363,373,384,387,400,404,417,423,434,441,599,604,611,625,628,635,648,653,662,673,685,690,703,706,713,725,731,741,753,754,766,772,781,796,803,811,822,827,836,840,852,861,872,878,890,897,902,911,921,930,935,945,957,963,976,984,987,994,1010,1015,1020,1028,1041,1053,1056,1070,1074,1087,1090,1103,1111,1118,1127,1134,1140,1151,1160,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,20,26,40,45,51,65,76,79,92,96,105,118,123,132,145,149,158,164,173,315,321,333,341,350,354,362,377,385,394,399,411,414,427,430,439,600,604,616,620,632,637,651,655,661,672,685,690,697,711,712,725,729,741,751,760,770,779,783,795,800,806,815,829,836,845,854,859,866,881,887,897,907,912,921,929,935,949,956,965,971,977,988,998,1008,1018,1020,1030,1041,1051,1056,1068,1075,1082,1094,1096,1110,1118,1122,1135,1140,1151,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,26,35,48,55,60,69,79,90,96,110,114,121,135,140,145,159,166,172,314,326,333,336,350,354,364,371,384,391,400,404,418,423,434,438,449,602,613,618,633,642,647,660,668,677,681,688,695,704,719,725,730,744,750,757,769,774,781,797,798,810,814,829,836,848,854,864,866,876,885,893,902,908,918,932,936,946,958,960,970,984,993,995,1008,1014,1020,1028,1040,1050,1055,1066,1075,1085,1095,1098,1108,1118,1129,1137,1141,1147,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,24,30,39,48,59,62,73,78,90,97,108,118,122,131,140,145,159,162,175,313,319,330,341,347,353,365,373,383,390,397,408,415,424,431,439,599,608,610,621,630,642,648,653,666,675,682,691,697,711,716,728,733,745,746,758,770,774,782,792,804,810,822,827,838,842,851,863,870,882,887,895,900,910,917,927,938,950,951,966,970,983,986,1001,1007,1014,1022,1029,1042,1048,1061,1062,1076,1081,1093,1104,1105,1120,1123,1133,1144,1153,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,26,36,50,51,61,70,77,93,98,102,112,123,129,137,148,157,164,178,315,321,334,337,348,352,366,372,380,393,401,404,414,426,433,442,596,607,616,625,630,640,646,652,668,672,681,690,699,710,719,725,729,743,747,762,769,774,784,794,797,812,820,831,836,845,852,857,866,878,889,893,900,912,922,930,941,947,954,961,972,983,989,997,1005,1014,1027,1033,1037,1048,1057,1064,1073,1081,1092,1098,1107,1116,1122,1131,1145,1155,1164,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,28,37,43,54,64,75,82,91,98,105,113,126,136,144,149,160,164,174,317,325,327,343,349,357,363,369,382,387,402,407,420,424,437,441,596,604,614,621,630,641,648,656,664,674,685,694,703,707,716,725,736,740,749,758,770,779,786,788,801,810,819,830,838,847,856,857,866,880,890,892,902,913,920,928,936,948,957,966,973,980,991,1001,1006,1018,1027,1031,1042,1048,1057,1062,1072,1080,1095,1098,1109,1118,1123,1130,1140,1150,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,30,42,48,55,61,72,79,86,94,102,117,125,134,144,153,161,163,172,313,324,329,338,351,359,364,372,379,387,402,407,415,426,433,445,597,606,612,620,630,642,651,656,661,672,680,690,695,708,712,724,732,738,749,755,770,779,788,792,799,808,822,826,839,845,853,859,866,880,887,899,901,909,922,930,937,946,952,966,968,982,993,997,1010,1019,1020,1033,1036,1046,1055,1064,1077,1080,1089,1102,1109,1115,1125,1131,1141,1155,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,23,30,34,48,58,64,69,81,87,96,104,112,127,129,143,153,161,168,178,313,322,330,340,346,352,365,370,379,389,396,410,413,427,434,440,597,603,610,618,628,642,649,659,668,670,679,688,702,708,712,727,736,741,749,757,764,775,786,791,802,807,820,824,837,844,851,859,866,882,884,891,908,913,917,925,936,944,954,965,976,979,985,1001,1002,1012,1020,1029,1038,1047,1054,1064,1074,1079,1091,1101,1112,1121,1124,1132,1141,1147,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,27,38,49,53,67,69,79,91,97,106,111,121,130,141,151,155,164,172,313,325,332,342,347,357,364,372,386,394,396,409,416,424,436,441,599,608,616,622,629,642,646,652,668,673,680,690,700,711,712,724,735,738,747,762,766,774,785,794,802,807,816,826,832,845,853,857,870,880,891,898,903,913,925,928,939,946,952,964,975,981,990,996,1005,1017,1027,1033,1041,1047,1053,1068,1074,1081,1090,1098,1111,1121,1126,1130,1146,1150,1162,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,30,36,48,56,68,71,80,90,96,105,113,126,130,140,152,159,162,171,181,318,328,343,345,354,369,376,385,390,396,405,416,428,434,442,600,601,611,622,630,640,649,654,666,674,679,694,701,706,718,724,736,737,747,760,765,772,783,790,800,809,816,824,838,842,855,860,869,875,888,891,900,914,919,926,940,945,958,968,973,979,992,1000,1004,1013,1022,1036,1042,1045,1053,1068,1076,1086,1094,1099,1106,1118,1122,1134,1144,1154,1164,1170,1178	1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,17,30,39,47,57,67,76,83,89,97,104,116,119,131,144,152,158,170,179,182,323,335,337,348,359,367,374,378,389,399,404,418,421,435,440,596,608,609,624,634,641,648,654,666,674,684,687,696,703,716,723,729,739,749,760,767,772,784,793,805,806,818,826,837,847,855,863,866,875,889,892,902,910,920,931,939,946,952,964,968,982,991,1001,1009,1017,1025,1029,1043,1048,1059,1070,1077,1084,1094,1101,1107,1119,1124,1130,1147,1155,1162,1168,1173	1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,17,27,37,45,53,64,74,82,92,94,102,117,124,133,143,150,154,170,176,188,323,330,335,345,354,369,373,380,390,400,407,418,422,433,442,456,603,617,622,633,637,650,653,667,674,683,692,702,704,720,722,729,741,750,756,765,779,784,790,800,806,816,825,839,847,854,860,869,876,887,892,900,911,919,929,942,945,952,960,971,981,988,997,1009,1011,1027,1034,1042,1049,1060,1066,1071,1084,1094,1097,1107,1119,1124,1133,1140,1150,1158,1172	1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
0,9,20,27,35,47,54,66,69,78,90,100,109,113,121,135,138,151,158,162,172,189,323,328,341,348,354,366,370,380,391,397,408,416,428,436,440,452,607,610,622,631,641,645,654,667,675,684,693,695,705,713,726,736,743,751,757,771,772,782,794,802,806,815,831,834,846,850,858,869,874,883,895,903,915,921,926,941,946,955,967,975,980,987,994,1005,1014,1026,1031,1037,1052,1059,1066,1075,1080,1088,1099,1112,1119,1122,1132,1139,1148,1158,1167	0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
2,9,17,25,38,42,56,60,68,82,86,98,106,116,127,131,142,149,154,163,172,179,324,332,340,346,354,365,378,379,390,397,408,414,428,437,442,596,602,616,624,626,642,649,659,664,676,682,693,695,709,719,720,736,743,751,758,764,777,785,790,803,809,818,825,832,844,852,861,871,879,887,899,903,910,921,929,939,942,954,967,973,983,992,997,1006,1013,1022,1034,1041,1050,1059,1065,1073,1087,1088,1097,1108,1120,1125,1135,1142,1149,1160,1164,1174	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,32,42,43,51,63,75,84,87,102,109,113,119,134,143,145,158,165,173,181,321,333,343,352,360,363,370,381,393,400,404,415,421,436,445,459,606,610,623,627,637,648,656,663,674,682,691,702,703,720,727,733,744,747,761,769,775,786,794,803,806,817,827,831,847,850,864,870,874,884,893,907,914,923,929,936,944,959,961,976,977,990,999,1002,1019,1021,1033,1042,1049,1053,1070,1073,1085,1088,1103,1111,1119,1129,1138,1140,1150,1159,1167,1175	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,20,29,41,50,53,62,70,82,89,99,106,112,121,133,138,148,161,166,178,180,320,329,340,351,356,365,374,380,392,398,411,415,427,437,438,466,606,616,624,629,641,644,652,663,670,678,691,696,710,713,726,730,744,746,756,765,774,783,793,800,811,817,825,832,840,856,865,873,881,888,891,904,911,924,933,937,945,957,966,976,984,986,994,1004,1015,1023,1029,1037,1045,1055,1067,1074,1087,1094,1100,1108,1115,1126,1137,1141,1151,1159,1172,1178	1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,17,29,35,43,58,62,75,83,89,100,107,117,122,130,138,153,158,163,177,197,324,334,339,345,360,361,375,383,390,402,405,418,423,434,440,597,607,614,620,634,641,646,654,661,673,685,688,698,709,712,728,729,738,746,762,763,778,788,794,801,811,819,823,836,842,850,863,868,880,886,891,902,912,921,931,935,948,954,960,975,979,992,1002,1009,1012,1024,1029,1041,1051,1058,1067,1072,1084,1090,1103,1104,1117,1127,1133,1139,1150,1156,1170,1175	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,25,28,38,49,53,66,74,80,93,97,104,114,125,128,144,147,160,168,171,317,324,329,339,351,352,367,377,381,388,402,406,415,428,430,444,599,605,610,623,631,640,645,652,669,677,684,692,698,706,718,723,731,738,753,755,771,777,780,791,802,810,821,824,833,845,856,863,870,881,887,899,905,913,917,933,935,945,954,966,974,979,989,995,1006,1011,1024,1030,1039,1045,1061,1066,1073,1086,1092,1098,1105,1119,1125,1131,1139,1152,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,26,38,48,57,67,76,77,87,100,105,115,125,131,144,149,157,162,172,181,322,331,341,347,360,366,377,379,392,403,406,413,422,437,444,598,606,616,620,628,636,645,655,668,670,682,691,698,705,714,727,736,742,751,758,771,779,787,796,801,807,817,825,833,843,855,863,865,882,884,899,900,915,924,926,939,948,953,962,970,980,988,997,1004,1014,1021,1035,1041,1047,1057,1062,1075,1085,1089,1097,1106,1117,1125,1136,1143,1154,1162,1169,1176	1,0,0,1,1,1,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,17,32,35,46,59,68,70,84,87,96,103,112,123,128,138,147,155,164,173,180,323,332,340,345,356,365,377,384,389,395,407,415,423,436,444,600,603,613,626,632,641,645,653,668,673,678,689,695,706,716,723,737,745,747,762,765,779,782,794,805,814,821,825,839,841,852,862,869,881,885,896,900,911,923,931,934,949,956,963,968,979,990,998,1004,1015,1027,1030,1038,1046,1055,1066,1070,1080,1091,1098,1112,1119,1123,1131,1146,1155,1160,1166,1175	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
3,13,20,31,35,49,57,66,73,78,87,97,105,112,121,131,138,150,154,163,172,185,318,331,335,347,356,367,375,384,392,401,409,412,425,430,446,597,609,616,620,634,636,646,659,665,676,685,694,702,708,712,724,734,737,748,757,765,774,781,792,804,814,821,826,832,847,853,865,868,881,887,895,900,913,920,928,937,946,956,967,972,983,986,998,1006,1018,1026,1031,1038,1049,1061,1062,1074,1087,1091,1102,1110,1115,1124,1135,1142,1150,1160,1171,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,19,30,35,46,57,64,72,82,88,100,108,115,125,134,140,146,155,169,171,180,324,328,343,351,359,367,377,386,392,403,404,415,422,434,444,465,606,609,620,634,637,651,653,663,672,683,687,698,706,712,721,734,742,746,760,764,776,784,795,797,811,818,829,834,841,848,863,867,878,887,892,901,916,920,931,937,945,955,962,974,980,986,997,1006,1018,1025,1035,1040,1050,1055,1068,1077,1085,1094,1097,1106,1113,1130,1136,1142,1148,1157,1168	0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
7,10,21,31,34,48,57,60,69,80,92,94,104,114,121,129,140,151,159,168,173,182,318,335,336,344,360,367,376,379,388,398,404,413,428,430,444,454,607,614,626,627,639,649,657,668,673,679,691,698,706,717,728,731,740,747,759,770,776,787,793,797,806,817,831,834,846,852,861,867,877,884,895,901,909,920,925,939,949,953,960,973,984,989,996,1009,1011,1027,1028,1044,1047,1060,1065,1074,1081,1090,1098,1111,1119,1125,1131,1139,1147,1158,1168	1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,17,19,32,42,44,56,66,76,83,93,101,110,113,124,134,142,149,160,165,174,318,320,327,337,349,359,364,369,381,392,395,409,414,423,431,446,597,607,614,622,633,635,651,656,661,677,683,694,700,707,712,726,731,739,749,755,768,776,788,796,803,812,819,824,839,844,851,865,873,878,888,893,906,911,918,930,942,950,951,964,974,979,991,998,1002,1011,1020,1028,1041,1047,1054,1068,1076,1086,1092,1101,1110,1113,1127,1137,1139,1147,1161,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,23,33,37,49,52,62,75,78,90,101,104,113,122,133,141,150,161,170,174,315,319,329,341,349,358,363,372,382,387,399,406,418,427,436,440,447,606,612,624,633,637,651,659,666,673,685,691,703,711,713,725,732,745,751,758,769,778,784,790,797,809,818,828,833,840,849,863,871,874,890,895,902,912,922,930,934,946,959,966,970,980,986,1000,1006,1017,1022,1030,1044,1049,1057,1070,1077,1084,1094,1098,1110,1119,1126,1134,1145,1150,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,25,30,41,43,52,65,73,76,92,97,108,114,127,134,144,149,157,167,174,316,325,332,342,347,354,365,376,380,395,397,410,418,423,436,439,455,604,617,620,631,635,650,655,662,669,678,689,699,708,712,721,734,740,750,755,765,774,780,791,801,808,817,828,831,848,850,859,870,877,887,892,906,909,922,931,938,942,951,962,970,980,993,1000,1010,1013,1021,1034,1044,1047,1055,1065,1072,1081,1091,1103,1110,1116,1129,1135,1141,1147,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,31,35,46,53,65,74,84,88,97,108,113,127,136,143,146,160,163,170,313,322,328,337,345,353,368,370,378,390,401,403,417,421,435,439,460,609,615,619,630,643,646,659,661,676,686,691,701,703,714,726,736,741,750,758,763,778,784,794,804,807,820,828,832,847,848,864,868,876,888,892,907,909,924,927,937,948,954,961,970,983,989,1000,1004,1014,1023,1030,1039,1049,1060,1063,1078,1086,1092,1099,1106,1118,1125,1136,1142,1155,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,23,27,39,44,54,59,71,83,92,94,105,116,126,129,141,151,159,162,172,314,326,329,339,348,358,361,378,386,393,396,406,416,421,436,442,448,608,610,620,628,638,646,660,668,671,683,688,699,707,715,728,736,740,748,758,770,779,786,792,799,810,814,830,832,846,849,865,871,876,883,895,908,914,917,927,942,944,953,960,973,978,992,999,1009,1014,1025,1032,1043,1045,1059,1063,1078,1081,1095,1099,1108,1119,1129,1133,1140,1152,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,28,40,48,56,62,69,77,93,96,106,112,127,134,142,145,155,168,173,317,319,331,341,344,356,365,377,379,392,395,403,417,424,434,438,462,602,611,619,631,637,648,658,662,675,679,689,698,709,719,728,736,741,751,755,769,777,785,792,802,813,822,823,837,843,852,861,869,875,885,899,907,911,917,927,939,943,954,965,969,978,990,998,1005,1015,1024,1035,1040,1049,1054,1065,1077,1083,1091,1097,1109,1118,1129,1135,1146,1147,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,23,31,40,49,59,65,72,79,88,99,105,117,125,136,141,152,160,166,172,313,325,330,339,344,353,366,376,383,392,401,410,418,427,429,437,596,608,617,618,634,640,644,658,662,673,683,687,697,704,713,720,736,742,746,759,765,778,786,791,803,811,818,828,834,841,851,863,868,878,886,898,902,916,918,927,934,947,958,961,968,978,988,998,1005,1013,1022,1031,1040,1050,1062,1063,1076,1083,1094,1098,1106,1116,1129,1131,1142,1148,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,28,41,49,54,67,69,83,93,94,105,116,122,132,137,145,155,170,172,317,322,330,343,345,359,363,375,386,393,397,407,415,423,433,444,466,603,616,622,630,638,644,655,668,677,678,691,700,708,717,725,734,745,749,759,768,779,788,791,804,812,815,825,838,841,854,862,866,880,891,896,902,911,919,932,937,950,955,963,971,978,993,998,1007,1013,1023,1034,1041,1048,1059,1065,1075,1087,1090,1101,1110,1118,1123,1135,1139,1153,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,23,31,35,46,55,66,69,81,86,96,102,111,124,134,140,147,155,165,173,314,323,329,342,346,354,367,377,380,389,398,405,414,424,437,446,596,602,609,625,633,638,648,653,664,671,679,693,699,709,715,728,733,739,752,754,763,774,786,793,800,806,821,826,834,848,857,858,869,882,889,898,900,911,922,926,937,944,951,963,969,984,992,999,1006,1017,1025,1034,1039,1048,1061,1063,1076,1081,1092,1101,1105,1116,1127,1135,1144,1147,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,33,35,46,52,64,71,80,86,99,106,118,119,129,139,150,158,167,171,182,325,330,342,348,356,369,375,380,394,401,406,413,426,434,439,600,605,612,622,634,636,648,654,668,676,678,690,701,703,715,728,729,744,754,755,765,776,781,792,805,807,821,827,839,844,852,859,870,875,884,898,903,915,919,933,937,950,952,961,974,979,992,998,1007,1011,1022,1030,1041,1053,1059,1069,1075,1084,1088,1096,1112,1121,1124,1137,1142,1153,1161,1164,1173	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,25,28,36,45,53,63,74,78,86,98,109,115,125,134,138,150,159,163,174,314,326,328,343,349,358,361,371,378,393,400,406,417,424,432,441,459,605,614,625,634,643,645,654,668,675,678,687,702,705,712,722,737,738,747,759,769,777,784,789,801,811,816,824,836,843,849,863,869,879,888,894,906,915,922,929,934,946,956,966,969,979,992,998,1004,1018,1025,1029,1044,1047,1056,1070,1078,1079,1088,1104,1107,1114,1125,1132,1147,1155,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,21,28,40,43,54,67,75,84,85,102,108,115,126,129,137,146,154,163,175,317,318,334,339,348,357,366,370,381,388,399,404,414,428,431,440,453,606,609,622,630,642,644,656,666,673,678,694,696,709,714,728,732,739,748,755,771,775,788,796,803,812,818,829,835,844,856,861,872,879,885,896,902,916,920,925,938,947,955,964,971,980,987,995,1010,1013,1026,1034,1043,1051,1057,1067,1073,1085,1091,1098,1106,1117,1129,1137,1140,1153,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,21,29,40,45,59,67,73,83,90,100,103,117,124,129,139,147,157,166,175,314,318,332,336,346,359,366,369,385,389,397,406,419,423,431,440,452,603,612,622,632,635,648,657,662,670,683,692,699,707,719,722,730,744,746,762,767,775,782,794,798,811,817,829,835,844,857,859,866,882,885,898,903,914,922,932,939,944,956,962,972,982,988,994,1003,1012,1026,1032,1040,1046,1059,1070,1076,1079,1095,1102,1110,1118,1123,1137,1145,1155,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,19,25,35,45,59,63,75,84,91,95,104,119,121,134,141,149,155,165,173,317,323,328,341,350,358,369,374,379,388,400,408,412,425,430,443,596,601,615,624,631,639,645,659,661,670,682,692,700,709,720,725,729,742,746,759,765,777,788,794,797,808,821,823,836,845,853,861,868,878,891,895,903,915,919,931,934,949,956,963,974,982,989,993,1006,1012,1019,1029,1039,1050,1061,1065,1075,1086,1089,1103,1108,1115,1126,1137,1145,1149,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,27,37,48,55,59,68,79,93,94,105,119,124,132,138,151,158,166,170,181,319,327,336,344,352,366,375,378,392,403,405,414,429,432,438,598,603,617,622,627,643,646,657,668,676,683,688,702,706,714,726,729,743,747,756,767,772,788,790,803,812,819,830,831,845,851,863,867,874,888,895,907,916,924,929,935,946,951,961,970,982,985,999,1004,1016,1023,1031,1038,1051,1055,1063,1073,1081,1094,1099,1110,1119,1122,1130,1144,1153,1162,1167	1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
7,8,23,28,42,43,59,61,69,78,90,97,106,115,124,130,142,153,158,164,176,315,325,330,336,351,356,367,369,380,387,398,408,417,421,432,444,600,606,610,622,633,643,650,655,664,671,680,694,700,707,717,726,734,739,750,754,771,772,782,793,799,808,818,829,838,840,856,864,867,875,883,897,903,908,921,930,937,945,955,965,970,983,991,998,1008,1013,1025,1029,1038,1048,1056,1065,1072,1083,1088,1097,1110,1117,1122,1138,1145,1153,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,29,40,47,56,61,74,79,87,98,110,118,124,134,143,148,161,169,176,314,324,328,341,349,358,364,377,386,389,400,404,413,424,434,442,600,607,615,621,629,639,647,652,669,671,686,693,700,710,716,727,732,743,752,762,770,778,788,789,799,805,821,828,831,845,856,857,874,878,885,898,905,911,920,930,936,948,956,965,975,979,985,1001,1010,1018,1027,1035,1038,1051,1061,1063,1077,1082,1093,1097,1108,1113,1129,1137,1142,1151,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,31,35,46,57,64,69,80,93,95,110,117,125,130,140,152,155,163,172,317,324,333,335,348,352,367,374,379,391,400,406,420,424,434,444,450,603,609,625,634,636,644,660,668,675,683,689,702,706,715,728,729,738,748,757,765,771,786,795,800,809,821,826,838,847,852,865,873,875,889,893,900,909,919,929,941,943,957,966,969,978,987,1000,1003,1012,1025,1034,1040,1053,1061,1067,1072,1084,1095,1098,1108,1114,1123,1134,1141,1153,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,31,36,45,56,67,72,83,92,95,105,114,121,128,141,149,156,162,176,313,318,328,342,347,353,368,369,379,388,400,409,414,426,434,438,599,604,614,626,628,643,645,658,664,671,680,692,700,707,712,724,734,745,753,761,768,777,785,790,799,811,820,825,833,842,854,858,871,881,887,895,907,910,924,927,939,944,953,959,970,978,989,1001,1008,1018,1023,1028,1037,1052,1058,1067,1075,1084,1094,1103,1111,1116,1127,1131,1142,1153,1160,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,31,36,43,55,66,73,79,87,101,106,118,123,133,143,147,156,167,171,314,323,332,341,347,355,362,373,379,391,395,409,416,426,431,439,597,606,615,620,627,641,646,654,666,677,683,687,699,707,715,720,736,739,746,755,769,771,784,790,801,806,816,823,835,845,853,865,866,879,885,898,901,914,922,933,942,944,958,964,970,981,987,999,1005,1018,1025,1029,1042,1045,1060,1069,1077,1082,1095,1096,1108,1115,1123,1133,1143,1150,1160,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,27,42,46,57,61,75,78,87,96,103,118,119,129,138,146,156,166,176,317,322,334,343,346,356,365,374,379,393,402,406,417,422,436,442,452,602,615,624,627,639,651,658,667,670,681,692,699,707,714,726,737,738,749,757,765,772,788,793,797,807,817,830,832,845,852,860,867,881,890,897,901,914,924,933,938,943,955,960,971,978,989,996,1003,1012,1025,1029,1041,1053,1054,1062,1072,1080,1093,1099,1111,1119,1127,1130,1139,1153,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,32,34,44,51,63,70,84,89,94,103,115,122,135,138,151,158,167,178,314,323,334,338,349,354,366,374,379,388,397,408,413,422,429,443,597,601,615,618,628,639,645,658,662,672,679,687,698,709,714,721,734,740,752,762,766,777,786,791,800,811,821,831,835,847,853,861,873,876,885,898,900,910,920,925,937,947,953,961,970,979,992,998,1002,1013,1027,1034,1042,1050,1058,1062,1075,1082,1088,1099,1112,1113,1129,1136,1139,1151,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,32,35,45,52,62,72,81,86,98,105,113,124,128,137,147,161,166,176,316,324,327,336,344,354,364,369,378,389,397,406,414,427,433,439,598,601,613,620,626,637,646,654,668,672,683,686,697,710,715,725,730,739,747,755,769,778,784,795,803,807,820,831,834,843,849,861,871,874,887,895,904,912,923,928,936,949,953,967,975,980,987,1001,1004,1013,1019,1035,1042,1052,1058,1063,1078,1086,1093,1098,1111,1114,1124,1132,1140,1148,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,28,42,50,55,61,76,81,85,97,102,114,124,130,138,146,155,162,174,313,326,328,343,352,360,368,375,380,392,401,409,420,425,436,445,599,604,609,623,633,643,650,655,666,670,682,694,696,707,718,726,737,743,751,758,766,777,788,793,804,812,817,828,836,846,848,865,873,879,882,899,906,912,921,930,937,947,951,967,975,979,988,996,1009,1013,1022,1030,1041,1052,1055,1062,1076,1079,1088,1101,1112,1120,1123,1133,1141,1151,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,30,41,48,58,64,75,83,89,102,105,118,126,129,144,153,154,170,171,315,321,332,340,346,355,365,371,383,392,402,412,413,427,433,444,597,607,610,625,631,643,646,658,661,670,685,692,696,708,718,723,734,737,748,760,768,773,786,790,804,808,817,829,831,840,851,862,867,876,886,891,899,913,919,925,935,945,952,962,970,980,985,996,1005,1015,1019,1033,1037,1049,1053,1063,1073,1086,1092,1096,1112,1115,1125,1135,1143,1149,1156,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,30,36,45,53,62,70,82,86,97,107,118,126,134,145,150,158,163,172,314,324,327,337,352,358,367,375,381,392,398,407,414,421,435,444,596,603,613,626,632,635,648,659,665,673,679,690,695,710,714,725,731,740,751,757,767,780,786,790,799,812,820,825,839,840,856,858,866,878,889,898,904,913,920,926,939,942,954,964,970,978,985,994,1009,1011,1024,1034,1040,1052,1053,1063,1073,1082,1089,1104,1110,1113,1127,1131,1142,1149,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,28,41,48,58,65,74,84,86,96,103,115,120,135,137,153,157,163,178,317,318,329,340,348,359,369,370,379,392,401,406,416,420,433,442,466,606,613,624,630,642,646,654,661,669,681,691,700,704,716,726,732,737,753,761,767,776,783,795,804,811,815,825,837,847,855,860,874,881,887,892,902,913,922,930,939,947,956,963,975,981,990,999,1007,1016,1026,1032,1044,1051,1057,1062,1077,1081,1090,1102,1111,1119,1129,1135,1141,1153,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,17,27,41,44,59,67,75,79,85,98,104,111,123,128,144,148,155,166,174,182,319,329,335,347,357,365,371,385,391,398,405,415,426,434,439,600,602,614,622,635,643,646,657,661,674,683,691,699,709,718,721,732,740,753,761,771,772,784,788,797,808,820,829,837,841,851,861,868,882,884,892,903,914,921,925,940,949,956,963,973,976,985,997,1005,1019,1026,1035,1042,1051,1060,1066,1073,1083,1092,1104,1105,1115,1128,1132,1139,1152,1164,1171,1173	0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,18,31,36,44,57,61,72,79,88,94,107,118,122,130,139,147,155,165,170,183,324,331,336,350,355,367,369,385,389,398,409,417,425,433,440,596,608,613,625,629,638,645,657,661,670,682,693,696,711,715,724,733,744,753,760,771,776,788,791,799,813,820,826,834,842,856,863,868,877,883,891,903,909,920,926,939,946,955,960,972,981,987,1001,1003,1015,1026,1030,1043,1049,1059,1065,1078,1087,1091,1099,1111,1116,1127,1135,1143,1153,1162,1171,1178	0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
2,15,24,26,40,47,57,62,68,83,89,100,108,117,128,130,140,150,158,168,177,185,323,334,340,344,360,368,377,382,388,395,410,418,423,436,438,451,602,616,623,631,640,644,652,662,673,681,694,697,711,713,727,733,746,747,761,765,776,784,789,804,806,815,824,838,846,856,862,873,881,884,895,902,911,917,928,935,948,952,961,972,984,990,999,1005,1010,1023,1033,1044,1053,1055,1068,1075,1079,1091,1096,1106,1118,1123,1135,1146,1155,1163,1169,1177	1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,12,19,29,35,47,53,64,68,78,85,97,105,117,125,129,137,150,161,164,179,181,323,334,336,348,353,365,371,383,391,399,409,419,422,432,440,457,608,609,623,634,640,646,654,664,675,679,690,695,706,719,725,731,743,751,759,765,773,785,794,800,810,817,826,837,845,853,859,871,875,883,897,899,914,924,933,934,948,957,967,968,981,993,999,1004,1015,1019,1028,1038,1050,1055,1068,1078,1083,1088,1098,1110,1116,1128,1135,1143,1150,1160,1171,1174	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,16,22,27,34,44,54,65,72,83,88,98,108,111,126,133,141,146,156,162,175,184,322,327,339,349,353,368,377,379,388,397,404,419,425,430,439,451,608,613,623,631,642,650,657,665,676,679,689,702,710,718,726,735,739,751,756,763,772,788,796,799,807,822,823,838,848,852,861,869,881,890,891,903,914,922,927,940,942,954,962,976,978,986,994,1003,1015,1024,1035,1041,1052,1055,1063,1077,1079,1094,1101,1109,1118,1122,1134,1144,1149,1163,1167	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,20,33,41,47,57,67,68,85,92,99,105,114,127,130,142,148,154,164,175,185,318,334,343,351,356,368,373,382,393,397,410,418,427,433,443,454,604,617,619,627,641,647,658,669,672,684,694,702,703,715,723,737,744,751,758,766,778,785,790,801,810,821,829,831,846,854,865,872,879,883,895,905,912,921,927,936,947,954,964,974,978,991,997,1009,1017,1021,1035,1039,1045,1054,1067,1074,1080,1091,1098,1110,1114,1122,1137,1147,1148,1159,1171	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,19,31,36,48,59,64,73,80,91,95,104,111,121,135,143,145,161,166,173,182,320,330,338,344,358,368,377,382,389,395,404,420,424,432,439,458,601,614,626,632,639,650,655,663,671,679,689,695,710,719,727,732,742,746,755,764,779,783,789,800,810,822,824,835,841,855,865,867,879,883,896,902,913,923,931,938,948,953,966,976,985,991,1001,1007,1014,1022,1035,1043,1049,1058,1062,1077,1082,1094,1097,1111,1118,1122,1136,1139,1148,1159,1165,1178	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,23,33,38,46,51,65,70,76,93,97,109,115,121,129,137,148,160,170,172,183,322,328,342,345,360,363,375,379,392,401,409,412,425,429,439,598,605,613,620,632,643,646,657,666,670,678,686,696,710,717,725,732,742,752,756,771,777,783,794,805,810,819,826,840,841,850,864,866,874,884,894,900,909,919,927,937,942,953,966,968,978,989,998,1010,1019,1021,1028,1044,1049,1060,1062,1072,1079,1091,1102,1112,1116,1128,1130,1145,1153,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
8,14,22,26,40,50,59,66,76,79,88,95,108,119,121,134,136,149,156,170,179,316,323,327,339,344,359,366,372,385,391,403,409,413,427,435,442,599,603,617,622,634,635,649,654,664,670,684,689,694,706,718,724,737,738,748,758,765,772,786,797,801,807,814,828,836,842,855,864,871,877,887,891,908,914,920,927,934,948,956,967,976,978,992,994,1005,1015,1020,1035,1037,1050,1059,1067,1072,1079,1093,1098,1106,1117,1128,1131,1145,1151,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,26,34,48,52,67,72,84,85,96,106,111,126,133,145,147,156,166,174,185,326,331,343,346,360,366,377,381,387,395,403,415,427,433,439,458,604,616,624,629,638,651,655,666,671,685,688,698,710,713,728,733,738,747,756,765,775,782,790,804,813,822,831,832,843,856,858,865,879,889,894,906,908,924,930,935,950,955,967,969,978,990,1002,1009,1011,1021,1029,1041,1051,1060,1066,1077,1085,1090,1100,1105,1115,1130,1137,1142,1154,1157,1168	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,14,23,34,39,45,56,63,70,82,93,98,110,116,119,135,142,146,156,166,179,181,321,334,337,348,352,361,375,382,393,399,404,413,427,437,438,596,601,617,623,629,640,645,657,662,670,681,691,698,706,720,727,733,745,749,759,764,773,786,790,802,808,818,824,835,843,853,859,871,877,887,896,902,910,922,926,939,946,954,965,973,982,987,994,1004,1011,1019,1029,1041,1046,1058,1070,1075,1083,1088,1103,1107,1116,1123,1134,1145,1153,1156,1171	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,19,33,42,44,53,64,73,83,87,97,102,111,123,135,143,151,160,169,172,186,318,332,342,351,357,369,377,380,391,400,406,413,422,437,445,470,609,616,621,630,641,647,658,661,677,678,693,696,706,714,721,729,740,753,758,764,780,785,791,797,813,817,823,832,845,855,864,867,874,887,894,905,913,918,930,941,949,958,961,974,977,992,1001,1007,1015,1020,1030,1040,1045,1057,1066,1077,1082,1095,1102,1109,1118,1123,1136,1146,1151,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,21,29,39,43,59,62,75,79,91,95,107,111,122,134,141,145,161,169,172,185,320,333,340,352,356,368,371,378,387,400,411,416,426,429,443,466,603,612,618,629,638,646,657,668,675,685,688,699,710,718,726,733,741,750,758,770,776,781,795,798,806,818,826,835,845,851,864,867,880,882,892,901,910,920,932,934,944,954,960,972,981,992,994,1010,1015,1026,1029,1042,1051,1057,1069,1070,1079,1095,1102,1105,1117,1123,1133,1142,1155,1162,1171	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
2,16,18,31,41,42,53,62,76,78,90,96,104,111,126,130,143,153,156,163,173,179,324,334,342,352,356,362,376,380,387,402,411,418,427,429,444,600,604,615,624,629,639,647,659,665,676,678,688,701,705,718,721,729,744,751,759,770,778,788,795,802,810,816,824,836,840,854,860,869,879,887,894,905,916,924,933,934,951,958,960,972,980,985,997,1005,1016,1022,1034,1038,1051,1060,1068,1073,1086,1088,1096,1110,1116,1125,1135,1144,1149,1156,1164,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,11,19,27,42,45,54,64,74,82,92,100,103,117,123,128,139,153,154,162,173,317,323,334,341,346,355,361,371,385,393,398,404,419,424,431,441,597,607,612,619,632,642,646,654,668,670,678,688,696,709,715,720,730,745,749,758,768,777,781,791,797,808,815,830,836,845,853,862,870,881,883,899,900,908,919,932,935,948,957,965,972,983,989,999,1009,1016,1023,1032,1038,1052,1058,1064,1075,1087,1089,1097,1112,1118,1124,1135,1145,1154,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,19,29,42,48,56,62,74,82,90,96,107,119,120,130,143,145,156,168,178,313,323,332,337,350,353,367,373,381,392,397,410,420,428,430,438,457,603,617,620,630,636,649,656,666,672,682,690,697,706,718,724,733,743,749,762,770,777,781,789,801,808,818,826,835,843,854,862,872,880,884,898,899,909,921,932,934,946,952,964,975,985,992,998,1010,1014,1019,1034,1039,1047,1060,1066,1077,1087,1093,1103,1106,1118,1122,1133,1139,1153,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,28,42,49,52,63,75,77,85,98,107,113,125,132,138,145,160,168,178,313,320,328,341,350,353,364,375,385,392,399,406,414,426,436,445,598,609,610,626,630,637,649,659,663,674,682,688,700,706,717,721,735,740,748,762,771,776,787,796,802,812,818,826,835,840,851,865,870,882,888,891,901,912,920,926,935,943,954,960,969,981,990,996,1010,1015,1027,1030,1037,1053,1061,1066,1071,1087,1093,1099,1106,1121,1127,1136,1139,1148,1160,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,26,39,44,53,66,72,79,93,101,108,119,126,130,142,149,155,170,174,313,319,329,335,352,353,364,374,383,387,402,409,414,421,435,444,469,601,615,622,628,637,648,658,667,672,678,690,702,706,719,723,729,743,753,757,771,779,781,791,803,811,821,827,839,843,850,858,869,876,891,897,900,910,920,932,942,945,956,961,972,977,990,998,1009,1018,1020,1035,1041,1046,1056,1062,1076,1083,1093,1100,1110,1120,1122,1132,1145,1149,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,32,42,48,57,60,71,84,85,97,103,117,124,128,145,153,160,168,177,316,326,331,342,349,359,362,375,385,388,401,405,417,422,435,445,448,601,617,620,626,638,647,653,661,676,678,687,701,708,718,728,736,739,750,761,770,773,788,789,801,814,822,828,837,842,849,860,865,875,884,891,900,914,925,930,935,945,956,967,971,980,990,1001,1007,1018,1025,1032,1038,1045,1057,1063,1074,1083,1087,1097,1112,1118,1121,1135,1144,1152,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,24,29,37,50,57,60,74,80,91,98,107,113,124,131,141,151,158,164,174,317,325,333,342,346,356,367,371,380,391,400,411,416,423,430,438,458,603,617,623,633,643,646,658,668,669,685,687,699,706,719,727,730,741,746,757,765,780,784,791,799,807,821,829,837,846,850,858,873,880,890,892,904,914,920,929,939,943,955,963,974,976,989,1000,1010,1012,1021,1028,1040,1047,1059,1065,1077,1081,1095,1098,1109,1118,1124,1131,1140,1152,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,27,36,47,59,62,76,82,91,102,105,113,122,129,144,145,153,166,176,314,322,328,336,351,355,366,371,383,393,398,409,414,426,429,439,449,607,612,618,631,636,650,658,667,674,678,691,697,710,712,726,729,739,752,755,763,774,788,796,802,810,814,824,835,845,855,861,869,876,883,899,904,912,919,928,936,942,957,961,973,979,993,1000,1010,1012,1023,1031,1040,1051,1055,1068,1077,1082,1092,1104,1105,1120,1129,1130,1143,1150,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,27,42,44,58,65,69,81,89,98,105,118,122,133,142,146,159,167,174,314,320,332,343,346,357,368,369,379,387,396,405,417,422,430,444,448,602,615,619,634,637,645,653,667,671,683,691,695,711,719,720,735,739,746,761,768,775,782,796,797,808,819,830,835,840,849,861,865,878,890,892,900,913,919,925,935,944,957,961,970,979,988,1001,1009,1012,1020,1030,1039,1051,1059,1066,1076,1087,1095,1102,1107,1114,1122,1138,1146,1151,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,31,38,46,51,63,70,82,85,100,104,112,127,134,142,149,161,165,175,313,319,333,335,351,357,361,374,378,388,400,406,420,428,436,441,600,608,615,618,626,636,644,656,661,676,685,689,702,708,713,721,733,744,751,762,765,776,784,796,800,808,819,825,836,840,852,864,870,874,886,897,901,910,920,928,939,946,955,960,974,983,985,997,1010,1011,1024,1031,1037,1051,1057,1065,1072,1085,1095,1098,1108,1115,1125,1131,1140,1150,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,18,28,40,42,55,60,71,81,86,98,109,115,120,128,138,150,157,162,174,182,318,330,339,345,360,361,375,381,387,401,407,416,425,432,441,447,605,611,620,633,638,644,652,662,669,683,688,698,706,718,727,736,743,747,761,769,778,787,795,805,807,822,827,839,842,850,861,867,879,888,898,907,912,923,927,934,946,955,965,969,977,989,1000,1003,1014,1023,1027,1036,1049,1061,1063,1077,1086,1089,1096,1112,1115,1127,1135,1146,1151,1164,1172,1174	1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,18,32,35,43,56,64,73,82,89,98,108,114,120,129,143,151,161,162,174,318,323,333,336,352,354,362,373,381,393,401,411,412,426,435,443,458,602,612,626,633,635,644,657,664,672,680,691,700,711,720,728,735,740,750,758,768,775,781,793,798,814,820,828,838,842,851,860,867,879,886,894,901,911,921,926,941,947,956,962,975,978,988,1000,1009,1011,1022,1032,1036,1049,1058,1064,1071,1081,1095,1097,1111,1115,1125,1131,1146,1153,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,24,32,35,44,56,59,70,78,93,97,105,116,121,130,138,146,160,163,172,313,325,331,340,348,359,363,374,384,392,402,404,420,427,430,438,598,608,617,625,633,643,646,659,669,673,685,692,698,710,713,723,729,743,751,758,769,773,784,794,803,811,816,823,839,843,856,864,867,875,889,893,903,916,925,929,936,947,957,964,971,982,992,996,1007,1012,1021,1036,1042,1047,1061,1068,1071,1087,1095,1097,1107,1118,1128,1131,1147,1151,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,28,40,44,55,67,73,77,89,97,110,117,124,130,137,150,160,166,176,317,326,330,338,347,352,369,370,378,392,395,403,418,425,434,443,468,602,613,622,633,640,647,653,666,670,681,688,695,711,714,723,731,739,751,758,769,775,781,794,799,811,819,826,837,841,855,864,866,878,887,899,901,916,920,925,940,944,959,961,971,979,987,993,1003,1019,1023,1032,1038,1051,1055,1066,1071,1079,1094,1096,1105,1119,1123,1137,1139,1152,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,31,35,49,53,67,74,76,87,99,104,111,121,135,138,147,156,164,179,316,319,330,341,345,352,361,376,379,386,399,411,414,425,433,445,598,607,612,622,632,639,646,653,667,674,683,692,696,708,714,728,734,738,753,756,768,776,787,793,801,811,822,829,838,846,850,858,865,879,890,895,905,913,921,926,940,945,956,962,969,976,990,995,1005,1019,1024,1028,1038,1052,1061,1064,1077,1080,1089,1102,1109,1116,1129,1132,1139,1152,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,25,28,36,49,54,59,70,82,87,97,110,111,127,136,145,151,159,169,177,184,320,332,340,352,358,364,370,380,395,399,406,418,426,433,442,597,604,609,624,632,640,645,656,664,669,677,690,700,705,716,725,736,740,751,762,769,772,784,789,799,813,819,825,836,840,855,857,872,876,883,897,900,916,918,927,935,947,958,963,971,984,987,994,1004,1019,1026,1034,1040,1050,1055,1067,1074,1085,1090,1102,1106,1119,1122,1130,1147,1154,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,21,29,39,47,52,63,68,83,90,96,107,111,122,136,144,153,158,166,177,314,325,335,336,348,358,364,377,379,390,396,405,416,421,431,443,599,601,613,622,633,641,651,658,664,672,678,694,699,709,719,725,732,744,748,762,764,777,785,791,797,811,820,829,836,847,849,862,868,878,890,893,906,912,918,927,938,942,959,965,974,979,992,995,1006,1011,1021,1033,1040,1049,1057,1063,1073,1080,1088,1101,1107,1121,1123,1133,1143,1155,1160,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,28,40,48,51,63,72,77,86,102,109,115,124,135,140,146,160,167,171,313,325,327,339,348,360,364,376,378,388,400,405,412,428,435,441,456,601,614,621,633,637,649,655,667,672,678,687,699,709,715,725,731,738,748,761,763,777,783,793,803,814,821,830,832,842,852,865,871,876,887,896,905,911,921,927,937,948,954,962,970,982,991,998,1002,1012,1022,1029,1038,1047,1053,1065,1076,1081,1091,1101,1109,1121,1127,1137,1145,1152,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,26,34,50,57,67,76,78,86,96,110,116,121,135,144,147,156,167,178,315,320,327,337,349,358,367,370,385,388,398,404,414,423,431,439,459,608,610,619,629,639,647,660,667,677,680,694,696,704,718,723,732,743,748,754,767,778,785,796,802,814,820,831,838,840,851,861,869,877,886,892,902,914,917,933,941,944,955,968,976,982,985,1001,1006,1016,1020,1028,1041,1052,1061,1070,1071,1080,1095,1096,1108,1118,1122,1133,1141,1150,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,27,40,48,53,63,76,77,86,94,110,111,124,132,139,145,161,168,175,313,320,335,336,350,355,364,373,386,389,396,410,420,427,434,438,597,605,612,622,631,636,648,660,662,676,685,694,700,704,720,721,736,743,751,757,767,779,782,794,801,806,816,831,838,842,850,864,866,878,882,892,902,915,917,931,939,944,955,960,971,977,990,996,1004,1016,1022,1030,1042,1050,1056,1069,1077,1085,1089,1101,1109,1115,1126,1137,1139,1151,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,26,36,42,55,64,70,77,90,97,110,117,127,135,142,149,157,169,173,315,326,330,337,346,358,367,375,383,387,395,407,416,423,431,444,596,601,611,622,632,642,651,653,661,670,679,689,695,704,719,725,736,741,746,755,767,773,780,791,804,809,815,828,836,847,850,857,874,880,887,894,903,913,920,927,939,950,956,967,975,978,986,998,1009,1015,1019,1031,1043,1051,1056,1068,1071,1081,1088,1102,1109,1118,1128,1131,1145,1153,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,21,25,38,46,58,62,74,80,91,96,110,117,120,131,136,148,154,170,174,315,322,334,340,348,360,362,370,383,391,395,410,418,427,431,438,597,605,611,620,627,639,650,658,668,674,685,689,699,703,719,728,733,738,753,755,766,776,787,790,802,809,817,827,838,846,851,859,871,879,890,895,902,909,919,927,938,946,959,965,968,984,993,1001,1006,1017,1024,1032,1036,1046,1056,1064,1076,1085,1088,1102,1106,1120,1129,1132,1144,1151,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,33,34,45,56,62,73,78,91,98,106,118,123,132,144,148,157,162,177,313,323,329,339,344,353,365,374,385,393,396,403,414,420,436,438,596,609,611,618,635,642,644,654,661,670,686,687,695,708,719,722,732,743,749,755,763,775,786,791,804,812,819,823,836,842,853,859,873,878,887,892,904,916,922,933,934,949,951,967,972,979,987,995,1008,1014,1024,1030,1038,1048,1061,1068,1076,1079,1089,1103,1109,1116,1128,1138,1141,1155,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,31,39,47,53,66,72,79,90,97,107,114,122,135,138,147,154,167,176,314,319,333,342,352,355,361,375,381,387,400,410,420,423,432,446,599,606,615,618,630,642,649,659,663,674,679,687,696,711,718,725,734,738,747,761,768,775,782,788,804,812,819,824,836,844,852,863,871,877,883,896,908,913,920,928,936,945,958,964,972,978,989,998,1008,1018,1027,1035,1038,1048,1055,1063,1074,1083,1093,1102,1108,1114,1126,1137,1144,1151,1164,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,25,33,35,42,59,66,74,78,90,100,110,117,124,134,138,148,154,166,178,315,322,327,336,349,356,366,372,385,393,400,406,417,428,435,447,597,607,613,625,631,635,644,657,668,669,684,687,703,704,717,726,732,745,747,760,765,775,780,790,799,814,815,826,836,841,851,859,866,881,889,891,904,915,919,929,938,949,956,961,975,979,986,996,1006,1011,1019,1030,1044,1048,1057,1068,1078,1082,1090,1101,1106,1118,1127,1130,1146,1154,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,26,34,50,59,61,73,83,85,94,105,113,126,135,141,150,157,168,178,315,321,327,336,345,356,366,376,383,392,397,408,413,428,436,440,451,606,615,622,630,637,648,656,666,677,679,690,698,710,715,727,735,740,747,758,764,774,786,791,804,813,820,825,837,842,854,860,869,879,889,892,906,910,920,931,939,944,954,963,971,982,986,998,1006,1015,1021,1029,1038,1051,1053,1066,1073,1081,1092,1099,1110,1121,1127,1137,1147,1155,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,25,31,41,46,51,65,71,82,90,95,108,119,125,129,144,146,158,170,175,316,324,330,341,347,359,366,377,384,390,401,406,417,427,430,440,466,607,616,626,633,638,647,657,667,674,677,690,702,708,719,725,734,744,753,760,766,777,784,794,797,806,819,824,834,847,851,860,867,874,884,895,908,913,924,933,941,943,952,964,974,977,986,994,1003,1017,1026,1031,1036,1048,1054,1062,1074,1079,1092,1104,1107,1120,1123,1138,1139,1148,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,32,41,43,55,61,71,77,91,94,110,113,123,132,136,151,159,163,178,313,325,328,341,344,358,368,375,382,392,400,406,418,428,436,439,447,603,613,626,633,636,651,658,662,672,683,688,699,704,717,726,735,742,746,758,767,776,787,792,798,811,819,828,839,844,850,858,867,882,885,893,902,910,918,933,935,946,955,960,974,978,985,995,1008,1016,1021,1036,1044,1047,1061,1066,1073,1083,1091,1102,1106,1121,1124,1133,1142,1152,1160,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,32,35,47,57,60,69,84,93,100,106,119,121,134,138,146,154,168,178,181,326,327,338,350,352,361,377,380,392,398,404,417,423,433,440,460,607,615,625,631,641,649,657,663,673,679,691,695,711,715,720,730,745,750,759,763,774,784,796,801,813,820,825,834,843,850,858,872,880,886,897,904,911,920,928,940,948,956,967,973,983,988,1001,1007,1011,1024,1031,1039,1047,1058,1065,1073,1080,1092,1100,1105,1117,1122,1131,1141,1154,1156,1171,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,22,31,34,49,56,65,71,81,92,98,103,112,120,133,144,152,158,168,174,187,322,328,335,348,355,364,370,381,387,395,412,417,421,433,441,471,604,610,624,626,640,647,654,667,670,681,687,698,704,719,721,733,744,752,760,769,777,782,794,800,806,814,830,838,845,854,858,868,874,886,897,900,909,922,932,934,950,953,963,971,977,990,998,1010,1014,1020,1029,1043,1053,1054,1064,1078,1086,1095,1099,1108,1115,1127,1138,1144,1148,1162,1172,1174	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,14,18,31,37,44,59,65,69,80,86,94,110,114,121,133,136,146,154,166,174,183,323,330,337,344,353,365,371,381,387,396,411,413,423,432,446,600,602,613,625,627,636,650,653,667,670,680,687,696,705,714,725,730,744,752,762,764,775,782,794,804,812,817,831,834,843,849,863,873,876,889,897,907,914,923,932,940,944,952,963,970,980,986,997,1003,1014,1021,1033,1041,1052,1060,1066,1076,1083,1094,1098,1113,1115,1127,1137,1147,1148,1159,1167	1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,12,17,30,42,50,52,66,70,78,93,100,102,113,120,132,141,152,161,162,174,193,319,330,343,346,357,365,376,385,388,400,406,418,424,434,442,596,606,617,626,632,635,644,657,663,669,679,690,702,709,714,723,736,743,754,762,764,775,788,791,799,807,822,823,831,845,854,861,868,876,884,898,905,913,918,926,936,949,957,961,970,984,991,999,1003,1017,1027,1028,1038,1052,1055,1066,1074,1079,1091,1104,1106,1114,1127,1133,1147,1148,1159,1164,1177	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,22,25,42,44,52,67,73,77,90,99,109,112,121,134,139,152,157,168,176,198,325,329,341,351,359,366,374,383,392,398,405,417,427,433,441,468,607,611,624,630,638,650,659,663,674,682,690,697,709,713,726,730,745,749,754,764,771,786,790,799,813,818,826,836,846,853,858,872,876,883,895,905,913,920,930,936,944,951,968,970,983,985,995,1002,1018,1021,1030,1041,1046,1055,1070,1077,1083,1088,1097,1107,1118,1127,1138,1142,1155,1156,1170,1176	1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,18,26,41,48,51,63,74,81,93,100,109,118,126,131,140,150,157,162,175,179,318,328,338,347,353,361,374,381,390,400,406,420,428,435,438,471,605,611,622,631,640,645,658,661,673,686,691,695,706,712,722,731,745,748,759,770,775,786,789,798,810,821,826,833,844,850,862,869,875,889,893,904,915,918,932,940,948,954,962,975,977,990,997,1006,1017,1022,1028,1044,1050,1061,1065,1078,1083,1088,1103,1110,1113,1123,1137,1140,1149,1159,1166,1177	1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,15,24,29,35,44,53,61,72,83,86,97,103,114,126,131,140,151,159,167,179,182,322,331,337,345,360,363,375,378,391,400,405,420,423,433,441,599,602,609,620,627,643,646,652,661,672,678,689,701,709,718,723,734,741,753,759,766,777,782,795,805,813,814,823,837,844,855,861,869,880,886,897,906,916,923,932,937,950,959,964,973,984,986,995,1004,1015,1022,1031,1044,1049,1061,1069,1071,1085,1093,1099,1110,1117,1129,1136,1140,1149,1159,1172,1178	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,33,40,42,57,64,75,85,90,102,104,111,123,129,139,146,157,167,174,181,326,327,339,346,354,368,373,384,391,399,412,419,425,431,445,598,608,611,620,630,640,651,658,668,669,681,692,694,709,712,725,737,738,753,758,765,776,784,792,804,807,819,826,831,841,851,859,868,875,883,897,900,909,919,925,936,949,953,966,974,980,987,1000,1009,1012,1026,1032,1041,1051,1059,1065,1078,1081,1089,1098,1107,1119,1127,1137,1145,1148,1159,1169,1177	1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,18,26,38,50,57,62,73,80,88,102,110,118,125,136,140,152,154,164,173,315,320,333,341,351,359,363,373,379,394,395,405,413,428,433,444,468,608,612,622,627,638,645,652,665,674,684,686,702,705,713,728,736,740,747,760,770,776,787,790,805,811,816,830,839,843,849,861,869,879,889,899,902,913,922,928,937,944,959,966,968,981,991,995,1009,1012,1023,1033,1042,1045,1053,1067,1076,1083,1094,1103,1106,1113,1129,1130,1145,1150,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,19,29,38,46,52,63,72,85,93,97,108,118,121,135,140,150,155,163,178,200,325,327,338,344,358,361,376,382,387,400,407,418,427,433,445,599,601,609,623,627,638,643,656,669,676,682,690,698,711,713,727,730,741,747,759,770,773,782,794,803,811,820,827,833,841,854,858,872,881,887,896,901,915,917,930,939,950,955,962,971,981,991,995,1005,1014,1027,1031,1041,1045,1058,1064,1072,1085,1088,1103,1107,1120,1127,1132,1145,1150,1164,1171	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,13,20,29,42,48,59,64,72,84,90,94,103,116,125,128,144,152,158,163,175,179,323,333,341,344,355,369,377,383,390,396,409,416,427,430,444,456,608,614,620,631,642,651,654,663,675,678,687,703,704,716,725,736,741,751,754,770,771,784,794,800,809,817,826,832,843,850,861,866,874,883,895,900,912,923,925,941,948,958,966,972,983,985,998,1005,1015,1027,1031,1041,1051,1061,1070,1072,1083,1090,1100,1109,1114,1123,1138,1143,1151,1162,1171,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,21,26,38,49,51,59,70,82,93,97,107,116,123,128,136,152,159,164,178,181,323,332,338,349,357,365,373,381,392,396,406,418,420,433,440,600,602,614,621,630,641,646,657,665,675,678,686,695,704,717,728,731,738,747,761,768,772,782,795,800,808,821,827,835,841,855,859,866,874,885,897,902,912,919,930,940,944,953,965,971,983,987,997,1004,1011,1022,1034,1043,1052,1055,1068,1074,1082,1089,1103,1109,1120,1129,1131,1146,1151,1163,1167,1174	0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,19,30,36,44,59,60,70,85,90,98,109,115,125,130,141,151,159,169,171,190,318,329,343,347,355,361,370,378,389,402,409,413,428,437,441,599,602,611,624,630,637,651,658,664,672,681,693,699,705,714,726,733,741,750,756,768,777,783,795,797,813,822,828,832,842,849,864,866,876,889,897,906,916,918,926,941,950,954,961,975,980,991,1000,1003,1015,1025,1028,1036,1047,1057,1070,1075,1084,1095,1097,1107,1120,1128,1131,1141,1155,1161,1169,1178	0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,31,37,45,54,62,68,78,88,101,103,113,125,132,143,149,156,167,176,190,323,327,339,345,360,361,373,381,390,403,404,419,424,433,446,599,605,615,626,628,642,648,658,666,675,683,687,698,704,713,724,737,739,752,762,767,774,783,795,802,812,819,825,834,844,849,862,867,878,884,894,904,913,917,928,937,948,958,965,975,978,991,995,1005,1011,1020,1034,1042,1053,1057,1067,1074,1086,1090,1100,1105,1115,1128,1134,1140,1154,1157,1167,1173	1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,10,18,32,38,50,58,67,74,84,88,97,107,118,121,130,139,147,155,166,177,184,320,328,338,348,355,361,373,382,390,395,411,416,424,436,443,450,607,611,624,627,640,644,659,660,670,685,690,697,710,712,723,732,741,750,755,768,779,781,792,800,807,822,826,834,845,856,860,870,876,883,898,902,908,917,927,934,949,952,961,974,978,986,997,1006,1018,1022,1032,1043,1049,1053,1068,1078,1085,1089,1104,1110,1120,1127,1131,1140,1150,1160,1165,1177	1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,8,21,29,41,43,54,64,72,82,86,102,106,119,127,134,137,151,156,169,174,317,323,330,337,347,358,364,375,379,392,401,409,412,424,433,445,470,603,616,621,632,635,647,657,665,674,678,691,702,704,717,724,737,740,752,759,763,772,783,790,802,813,814,829,838,844,849,864,867,874,890,898,902,912,922,929,934,949,955,960,974,981,992,998,1010,1018,1020,1028,1038,1050,1054,1070,1076,1085,1096,1103,1111,1113,1126,1135,1145,1148,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,30,37,47,54,62,76,82,89,94,108,118,120,128,143,146,154,164,172,316,318,333,342,344,353,364,369,386,392,396,403,417,420,434,444,597,602,609,622,630,641,644,660,667,676,684,691,695,705,718,726,736,739,750,762,768,771,784,796,797,807,820,823,836,840,851,861,870,876,886,899,901,912,917,927,937,942,952,965,969,984,992,1002,1008,1019,1020,1029,1040,1050,1055,1065,1073,1085,1095,1097,1108,1116,1123,1132,1139,1149,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,30,38,50,54,60,75,81,90,97,108,113,122,134,143,150,155,169,176,316,321,331,335,346,355,365,371,385,392,396,410,417,425,431,440,456,607,613,618,629,640,648,656,667,677,685,693,699,704,713,725,734,737,747,760,769,772,782,793,800,808,821,829,837,847,852,864,871,879,888,897,906,913,916,926,937,946,952,959,975,981,993,1001,1002,1019,1026,1031,1044,1045,1056,1065,1074,1079,1089,1103,1110,1117,1127,1132,1142,1149,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,23,30,35,48,59,60,68,82,89,97,105,112,124,133,139,147,158,164,177,317,318,333,339,344,354,369,373,381,394,398,411,420,426,436,440,599,607,615,623,627,640,649,660,666,672,683,694,695,710,714,721,735,743,751,757,771,779,782,792,797,812,822,826,837,848,855,858,869,881,885,895,900,916,921,925,942,946,953,965,975,982,991,994,1009,1012,1027,1034,1037,1049,1058,1063,1074,1080,1088,1104,1112,1118,1124,1132,1146,1154,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,26,37,45,55,60,73,79,93,94,105,117,126,135,142,145,156,170,172,313,324,328,340,345,360,369,372,378,389,401,406,415,424,431,439,596,604,617,621,628,640,643,655,663,674,683,690,697,708,715,724,733,743,748,759,763,779,786,791,798,806,819,824,839,847,849,858,866,874,883,892,903,911,924,926,939,947,956,965,973,980,989,1000,1007,1017,1026,1031,1044,1049,1058,1063,1075,1082,1093,1099,1105,1117,1129,1133,1143,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,24,33,36,42,57,60,75,85,92,102,107,111,124,131,137,152,157,165,170,314,318,335,339,347,352,369,372,380,390,396,405,416,423,433,444,463,607,615,626,629,635,645,656,667,676,682,689,699,705,718,724,736,745,748,761,764,775,783,796,804,808,819,827,837,845,855,863,867,881,884,894,904,912,919,932,940,948,953,961,969,981,989,1001,1010,1017,1026,1030,1044,1052,1056,1063,1074,1085,1088,1103,1107,1120,1127,1137,1141,1152,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,20,33,38,44,56,60,74,82,86,99,104,117,121,130,142,146,156,170,176,314,318,327,340,350,353,368,371,383,390,396,405,416,423,433,438,453,606,614,619,630,642,650,656,661,672,681,691,702,709,717,727,734,744,746,757,765,779,785,790,803,810,817,823,833,843,851,864,869,880,889,891,904,909,920,932,938,944,955,959,968,980,989,997,1008,1015,1024,1035,1042,1051,1058,1062,1075,1084,1092,1102,1108,1121,1127,1138,1145,1151,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,31,39,47,53,63,73,77,91,96,106,114,127,131,141,149,155,168,171,313,325,335,336,344,359,368,375,386,390,402,410,419,420,433,441,597,609,611,620,630,635,650,660,668,674,682,691,694,705,717,722,734,744,749,759,764,777,782,795,804,811,814,831,838,841,855,865,869,881,884,896,908,909,924,931,941,950,954,963,969,981,987,1001,1005,1018,1022,1035,1044,1045,1060,1068,1074,1080,1090,1104,1107,1118,1130,1135,1139,1155,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,27,35,43,51,64,74,83,89,100,108,113,126,134,144,146,156,169,172,185,320,326,340,350,359,362,372,383,388,402,411,413,421,432,446,599,609,614,619,628,640,649,657,666,671,679,691,699,710,712,726,731,740,748,756,767,779,781,792,798,813,818,830,832,843,852,860,866,882,890,897,902,913,924,928,939,946,959,964,974,980,989,996,1005,1013,1023,1032,1044,1049,1059,1064,1074,1083,1092,1097,1104,1118,1126,1138,1142,1148,1160,1172,1176	0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,16,18,30,39,48,57,66,74,80,93,101,107,114,126,132,143,148,158,164,172,316,318,335,340,345,359,365,369,379,388,397,407,417,429,434,441,598,606,609,626,633,636,646,652,666,671,680,692,696,711,718,725,735,744,754,759,766,775,783,793,805,811,818,829,832,842,850,860,869,881,890,899,903,912,923,930,938,945,954,964,969,981,991,994,1003,1015,1021,1032,1039,1053,1060,1063,1076,1079,1091,1100,1107,1113,1124,1137,1143,1150,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,18,30,42,45,56,63,70,84,89,95,109,118,119,136,144,152,158,166,171,315,325,327,341,352,354,362,376,383,392,397,404,416,427,432,444,451,601,614,618,631,635,650,653,660,676,680,690,696,707,719,723,734,740,747,756,767,775,784,789,799,811,815,825,835,846,853,862,867,880,883,899,903,916,921,927,937,945,953,963,969,983,985,999,1008,1011,1019,1028,1042,1046,1053,1069,1075,1083,1094,1098,1106,1115,1122,1137,1145,1150,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,27,39,44,59,67,76,82,88,94,105,118,123,136,139,152,156,164,176,315,319,329,337,344,353,362,373,383,394,397,403,417,423,437,443,448,602,611,622,629,639,647,659,668,672,677,694,700,709,713,727,737,742,753,755,768,776,786,792,803,812,815,828,834,843,851,857,871,874,886,893,908,913,917,933,939,948,957,964,973,980,987,997,1004,1011,1020,1034,1040,1047,1059,1067,1075,1081,1094,1096,1112,1114,1129,1134,1142,1149,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,26,35,43,54,60,73,79,92,98,103,118,124,132,141,152,155,165,176,315,324,327,338,345,358,367,376,380,387,401,409,413,423,431,444,600,603,615,622,632,643,644,652,666,670,677,690,699,705,715,722,730,741,748,758,770,772,785,791,804,806,816,823,835,847,849,865,870,882,888,893,900,908,925,933,937,949,954,962,972,982,993,995,1003,1011,1026,1030,1043,1046,1061,1069,1070,1085,1094,1103,1110,1118,1125,1135,1141,1147,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,25,37,50,51,63,69,83,89,95,105,113,126,131,141,150,159,166,174,316,324,327,338,348,359,361,375,384,390,399,409,417,421,437,444,468,604,614,623,632,643,649,655,668,673,680,687,699,709,716,725,729,742,754,762,767,775,788,793,804,812,820,828,838,848,850,865,871,876,887,893,907,912,922,930,940,951,959,964,976,978,991,998,1007,1013,1025,1035,1043,1052,1060,1062,1078,1083,1090,1100,1104,1121,1124,1131,1142,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,23,26,37,45,55,67,68,79,91,100,106,116,125,132,137,153,156,165,173,315,320,329,343,352,354,363,375,379,394,403,405,415,422,434,443,465,603,617,625,630,635,644,657,663,674,677,694,698,710,714,727,734,742,753,762,765,772,782,790,804,811,819,825,834,845,848,858,866,878,884,892,906,915,920,927,942,947,954,964,968,976,990,1001,1004,1011,1022,1033,1037,1051,1056,1062,1070,1086,1088,1100,1105,1120,1126,1132,1143,1155,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,25,36,48,53,62,68,80,87,102,104,111,119,129,141,151,157,168,177,317,321,327,339,344,354,363,376,381,389,399,411,412,423,436,445,599,606,615,618,633,641,645,656,664,676,680,689,700,708,717,722,736,743,751,759,771,780,785,797,802,813,818,828,839,845,855,857,869,875,883,896,904,909,917,932,936,947,955,960,968,983,986,996,1009,1012,1024,1036,1038,1047,1053,1069,1078,1080,1090,1101,1110,1120,1128,1136,1139,1148,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,30,39,42,56,66,72,83,86,94,105,111,127,135,136,147,158,169,179,316,318,331,339,344,353,361,371,386,387,397,408,418,421,434,438,597,606,612,618,634,639,650,659,663,670,683,691,700,711,715,728,730,738,751,757,764,777,781,791,798,811,815,828,838,842,851,861,867,877,887,892,905,908,923,932,934,948,952,967,971,981,987,996,1004,1015,1025,1027,1042,1047,1055,1069,1077,1083,1093,1101,1112,1113,1128,1132,1141,1153,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,32,36,43,59,67,69,83,90,99,102,111,126,133,144,153,155,169,171,313,319,334,335,345,354,367,377,384,394,399,407,412,426,430,440,453,605,615,624,630,635,647,654,669,674,679,687,695,709,719,721,736,741,750,761,766,775,788,795,805,812,818,825,834,840,852,857,868,879,889,892,900,914,917,926,940,945,955,961,969,983,989,997,1009,1018,1027,1036,1040,1051,1054,1063,1074,1086,1089,1099,1105,1117,1126,1134,1142,1148,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,20,27,35,50,58,65,74,79,85,98,105,118,121,133,138,151,155,165,172,314,323,332,341,346,356,369,377,385,392,398,405,416,427,432,437,599,608,616,625,631,643,651,655,661,677,685,689,696,711,716,721,736,737,746,758,764,774,788,796,803,808,814,831,837,844,850,859,869,875,883,897,900,915,921,929,934,944,952,961,969,985,991,999,1006,1011,1026,1028,1041,1052,1058,1062,1072,1084,1095,1099,1110,1118,1127,1131,1146,1155,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,19,25,39,45,51,65,72,82,89,100,109,113,127,128,143,145,153,166,172,317,319,329,336,346,355,363,374,386,393,395,406,420,421,435,444,463,608,615,626,634,639,647,656,666,670,684,686,698,708,718,721,732,738,748,756,770,775,785,793,798,807,821,825,838,847,854,857,872,875,888,898,901,914,917,930,939,948,954,959,974,981,987,994,1004,1013,1023,1032,1042,1049,1056,1069,1073,1080,1087,1098,1108,1113,1124,1132,1142,1150,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,29,37,48,51,65,76,82,91,100,103,114,125,135,139,152,160,166,175,313,320,332,340,349,352,365,373,384,388,400,407,419,425,431,439,596,606,614,626,627,640,651,653,662,672,682,694,701,705,716,728,733,738,751,755,767,778,782,792,804,813,821,829,839,844,853,863,866,882,886,895,902,915,921,926,934,949,954,965,972,978,990,996,1005,1016,1027,1029,1041,1050,1053,1069,1071,1086,1093,1103,1111,1120,1122,1130,1139,1147,1159,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,30,35,48,54,60,72,79,87,101,103,116,123,133,143,147,157,167,174,315,319,331,340,344,358,366,370,384,394,403,408,413,428,437,440,600,602,609,620,633,642,644,660,662,673,683,694,697,706,715,727,729,745,749,757,769,773,785,791,804,806,818,825,833,846,849,858,867,881,890,899,907,913,920,929,935,947,953,967,969,978,991,994,1003,1017,1024,1035,1038,1051,1058,1070,1071,1080,1092,1104,1106,1119,1124,1134,1142,1148,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,30,39,45,55,68,75,78,92,96,109,111,127,128,144,150,161,164,171,315,323,332,340,352,356,368,371,385,395,400,403,420,428,435,438,598,603,614,621,627,635,650,657,661,676,684,694,700,705,714,725,736,738,753,759,767,776,780,792,801,807,818,824,835,844,853,861,868,878,889,897,900,914,921,933,935,947,952,966,972,977,989,999,1003,1016,1024,1035,1042,1051,1056,1068,1071,1080,1092,1096,1108,1120,1122,1136,1138,1148,1160,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,25,29,40,46,57,62,69,85,88,102,109,116,122,134,139,147,154,166,178,314,320,331,337,344,359,361,373,385,392,400,411,414,423,429,441,598,607,616,619,630,636,645,656,660,669,685,686,697,710,715,723,730,741,751,761,765,776,787,790,798,810,817,826,837,844,850,864,870,875,891,895,907,910,917,925,935,942,951,966,972,982,987,1000,1007,1014,1019,1029,1037,1051,1057,1062,1077,1080,1093,1096,1109,1119,1126,1134,1145,1155,1161,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,31,41,43,59,62,68,78,93,98,105,116,127,136,144,152,160,168,174,317,323,328,337,344,354,368,376,378,392,399,409,419,427,430,442,598,604,611,618,630,641,651,655,663,674,680,686,701,711,717,722,734,740,752,755,769,772,786,797,802,811,815,826,838,846,851,857,872,875,888,898,905,916,917,928,937,942,956,963,970,985,993,999,1007,1018,1022,1034,1041,1045,1061,1067,1070,1081,1090,1103,1105,1121,1122,1130,1145,1149,1161,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,23,30,34,43,51,60,74,81,88,97,110,114,124,130,140,148,160,167,176,314,318,327,338,347,352,362,370,380,389,400,412,418,425,437,441,454,607,611,624,634,636,651,656,663,673,685,692,697,707,717,722,732,739,746,760,766,772,786,796,798,814,822,823,836,846,855,862,870,874,890,895,907,910,919,928,936,948,959,960,969,981,989,1000,1006,1013,1022,1035,1040,1045,1059,1068,1072,1081,1089,1100,1112,1117,1123,1135,1143,1152,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,30,40,47,51,62,70,85,88,101,104,118,121,133,144,153,160,166,171,179,324,332,343,344,360,364,372,381,393,401,407,414,428,432,443,452,601,610,623,632,640,648,654,661,670,679,693,700,711,716,728,731,741,749,759,771,774,784,793,800,813,818,826,838,840,853,865,870,879,889,892,903,913,919,932,941,947,952,961,969,978,988,999,1002,1016,1021,1036,1040,1047,1059,1069,1077,1082,1091,1100,1111,1114,1127,1132,1141,1155,1160,1168,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,15,24,32,34,44,57,65,72,84,85,101,108,114,122,131,143,153,155,167,177,181,322,326,338,349,357,364,369,379,393,396,410,412,421,431,439,459,604,616,620,629,642,644,656,662,677,685,694,696,710,715,721,735,739,753,754,769,779,787,791,798,807,815,823,838,848,856,863,869,874,888,894,905,908,919,928,936,950,954,966,970,976,985,996,1004,1011,1027,1033,1039,1052,1059,1065,1073,1084,1091,1102,1112,1118,1126,1138,1140,1152,1163,1166	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,9,17,32,38,47,59,61,75,81,92,99,106,117,125,133,141,151,155,167,171,183,325,330,339,350,354,362,377,383,394,395,405,414,424,434,438,599,601,610,625,628,639,644,659,663,669,684,690,699,707,712,720,732,740,750,756,766,774,782,797,804,811,820,827,835,847,856,860,870,880,884,895,907,916,922,931,935,943,959,963,969,980,989,997,1006,1013,1026,1035,1037,1046,1058,1062,1076,1081,1087,1099,1108,1115,1123,1134,1145,1154,1159,1165,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,14,17,29,36,51,53,64,74,81,90,100,108,112,120,128,137,146,158,170,177,182,322,333,341,344,357,368,377,381,389,397,407,415,424,429,444,600,605,612,622,627,636,648,659,664,669,678,694,703,705,714,728,735,739,746,756,769,776,783,792,801,813,816,826,839,840,854,864,869,881,884,893,903,911,919,930,935,944,958,959,968,984,989,1002,1006,1018,1025,1035,1038,1051,1055,1066,1075,1086,1090,1096,1107,1121,1126,1134,1146,1151,1157,1171	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
7,14,17,33,38,44,57,64,72,77,86,95,108,117,120,133,143,146,154,167,176,199,323,333,342,350,353,361,371,386,389,403,409,413,423,435,441,458,605,615,618,630,636,647,657,662,674,684,686,698,708,713,728,735,737,748,757,765,777,787,791,801,810,815,830,839,845,848,864,868,881,884,898,904,912,921,931,940,948,959,964,974,980,986,998,1005,1012,1026,1030,1041,1049,1057,1062,1072,1081,1096,1099,1106,1117,1128,1135,1144,1151,1162,1173	1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,24,26,41,43,54,61,74,78,93,98,105,114,123,132,138,150,157,164,176,184,326,333,338,351,354,361,369,382,393,402,408,413,422,429,445,453,604,617,618,632,642,648,658,666,672,680,687,695,708,713,727,734,738,746,758,766,775,788,794,798,808,814,825,838,843,857,858,873,881,884,897,900,912,919,930,935,947,958,961,968,984,993,995,1004,1019,1020,1029,1042,1047,1058,1065,1070,1079,1095,1099,1106,1114,1127,1132,1142,1148,1156,1171	1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,14,22,27,38,43,57,66,71,80,91,97,110,118,124,128,143,147,158,168,174,188,318,333,339,345,359,364,371,385,388,397,407,418,421,431,439,596,608,614,621,629,637,645,657,662,671,680,688,698,708,716,727,734,744,748,754,769,776,780,795,800,811,816,829,833,843,850,865,871,877,883,893,904,915,921,926,938,944,954,964,970,979,992,999,1004,1016,1025,1034,1040,1048,1054,1068,1073,1084,1089,1101,1110,1117,1126,1138,1141,1151,1163,1169	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,8,18,34,37,47,57,65,74,81,91,99,102,116,120,134,141,151,158,167,178,181,321,334,343,351,354,362,376,378,390,398,404,416,424,437,444,598,609,613,621,633,638,647,653,664,677,684,693,702,705,714,727,736,745,747,761,767,779,784,795,799,813,821,824,834,846,856,859,871,879,887,894,908,913,917,931,934,950,958,959,971,983,988,1002,1010,1018,1025,1030,1041,1050,1061,1064,1078,1081,1091,1099,1112,1113,1129,1134,1145,1155,1162,1166	0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,20,28,41,50,55,63,74,82,89,99,105,118,119,129,137,147,156,167,179,315,326,329,339,350,356,365,371,384,387,403,410,414,425,430,439,467,601,610,618,629,639,651,654,665,670,684,689,701,709,714,724,734,738,749,761,769,779,785,789,804,810,821,831,834,848,853,858,872,878,886,895,904,912,918,929,940,945,959,962,975,981,993,995,1005,1014,1025,1032,1038,1053,1054,1069,1073,1085,1089,1102,1110,1113,1122,1132,1144,1152,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,29,37,43,54,67,70,78,89,99,107,111,120,134,137,148,158,165,173,192,318,333,342,350,356,367,371,382,393,395,406,418,426,436,446,468,604,611,623,627,637,644,659,667,673,684,693,702,707,718,725,734,739,752,756,767,780,787,789,804,809,819,825,833,843,854,862,866,876,889,897,904,911,922,932,938,948,959,967,974,984,986,998,1004,1016,1027,1029,1043,1051,1060,1069,1077,1086,1089,1102,1107,1120,1121,1136,1146,1148,1158,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,12,18,31,42,46,57,61,76,84,90,102,110,112,126,130,140,151,154,168,174,179,320,329,337,347,353,361,372,378,386,400,409,417,423,429,445,458,604,610,623,631,638,644,655,665,675,682,687,700,710,716,725,731,739,747,760,770,775,783,795,802,811,817,828,832,842,849,858,868,874,890,893,904,911,922,931,937,946,953,963,974,981,990,995,1003,1018,1025,1034,1040,1047,1056,1063,1075,1080,1092,1102,1111,1116,1123,1133,1140,1149,1161,1165,1174	1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,17,25,36,50,51,60,74,78,87,101,108,116,126,134,138,152,159,166,176,206,319,328,337,351,354,361,374,381,393,395,407,419,428,430,441,597,602,612,618,629,635,650,658,665,675,683,693,702,709,717,724,736,744,751,756,766,777,781,792,804,806,819,826,831,840,856,862,866,874,887,899,904,915,918,926,939,946,952,960,970,984,991,1000,1005,1013,1024,1028,1036,1045,1058,1063,1075,1087,1094,1096,1112,1117,1126,1133,1143,1155,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,10,20,26,37,46,57,61,70,80,91,98,110,116,127,132,141,146,154,169,171,189,319,329,336,345,352,366,376,386,390,396,409,417,422,435,438,447,607,611,626,632,637,648,658,668,675,685,691,703,707,719,722,734,745,746,755,766,772,788,791,798,808,816,827,837,846,849,858,872,877,889,898,905,910,919,929,940,945,955,965,969,981,985,994,1006,1013,1025,1028,1039,1049,1061,1068,1073,1085,1089,1097,1106,1113,1122,1132,1146,1149,1157,1169,1174	1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,21,31,38,49,56,68,75,83,87,98,107,112,123,130,138,146,161,164,171,180,322,332,338,349,360,368,377,379,394,397,411,419,426,431,446,454,608,610,619,630,642,648,659,665,674,680,689,700,703,719,724,734,742,749,756,765,773,788,794,804,807,821,825,835,847,856,861,867,879,885,895,904,912,918,926,938,943,953,960,974,977,986,994,1004,1018,1022,1029,1043,1046,1056,1066,1074,1086,1087,1098,1112,1116,1123,1135,1140,1155,1160,1168,1177	1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,17,26,35,49,52,62,68,79,87,98,102,116,123,133,144,150,161,168,177,180,318,326,336,347,358,363,373,382,391,398,409,413,429,431,445,600,603,613,625,634,643,646,656,662,675,683,689,695,709,716,722,735,741,749,756,769,775,781,790,802,810,815,831,836,841,854,863,873,882,889,892,905,914,922,933,936,947,956,963,973,981,986,1000,1006,1013,1026,1034,1036,1049,1058,1065,1073,1079,1093,1098,1107,1113,1130,1137,1142,1151,1164,1167,1176	1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,12,18,32,40,42,56,65,74,79,90,100,107,116,125,129,140,148,160,169,174,313,323,332,336,347,356,368,377,385,391,397,410,416,422,429,439,466,602,615,624,632,638,650,656,668,675,679,688,699,704,716,721,735,743,752,754,770,779,784,794,798,808,817,824,838,843,856,857,871,879,886,892,900,911,922,930,936,943,954,959,968,977,988,998,1009,1011,1024,1029,1042,1048,1053,1064,1077,1080,1095,1098,1105,1113,1122,1133,1147,1150,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,24,29,36,47,51,65,76,77,92,97,110,112,124,133,141,152,159,165,179,313,319,333,341,350,360,362,376,385,392,399,408,416,423,433,441,596,602,613,620,631,637,648,659,666,671,680,688,695,711,719,726,736,738,747,758,771,774,786,793,802,812,817,828,836,841,851,859,873,880,883,899,900,912,917,929,940,948,956,962,972,978,990,998,1007,1011,1026,1031,1042,1047,1059,1067,1079,1081,1089,1100,1110,1117,1129,1132,1143,1150,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,32,35,45,53,62,71,80,87,100,105,117,121,130,144,150,158,162,171,316,323,327,337,349,355,366,372,378,393,399,411,418,424,434,443,599,607,614,620,631,635,651,653,661,675,685,688,697,709,715,723,734,737,747,760,770,774,782,790,802,807,817,825,831,843,849,865,871,880,887,891,900,913,921,928,941,950,954,960,969,977,987,993,1003,1016,1026,1031,1042,1045,1058,1062,1075,1082,1091,1100,1108,1119,1126,1136,1141,1150,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,31,35,48,55,61,69,84,93,97,105,114,121,134,138,151,160,169,175,313,325,330,343,344,358,363,374,381,391,401,404,420,421,431,443,451,607,612,624,632,643,648,653,661,670,679,687,702,706,714,721,729,741,746,756,767,772,781,793,800,806,814,828,839,845,852,859,865,875,885,899,904,908,922,930,935,943,957,963,973,977,990,995,1007,1016,1025,1031,1037,1052,1059,1069,1073,1080,1090,1102,1110,1121,1123,1138,1139,1152,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,17,31,41,43,57,66,71,83,85,98,106,117,122,133,138,147,155,166,172,317,320,332,339,346,356,362,376,385,390,396,404,416,421,431,438,597,603,616,623,632,637,646,657,666,673,679,688,701,705,714,727,734,743,750,754,766,772,788,793,799,809,819,825,831,848,852,858,868,878,886,891,905,908,917,928,942,944,959,961,970,984,990,994,1009,1013,1026,1033,1044,1047,1053,1062,1071,1081,1088,1103,1106,1117,1130,1131,1145,1154,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,18,30,39,48,58,68,74,78,90,101,108,117,126,132,142,145,154,170,176,313,322,327,342,346,358,366,373,384,389,398,404,413,428,435,439,598,602,617,622,628,642,650,656,663,674,677,693,699,710,716,720,729,737,746,756,764,775,784,794,800,811,818,829,832,844,852,858,870,881,884,894,901,914,922,926,934,945,951,961,970,980,988,1001,1005,1012,1027,1033,1044,1046,1055,1069,1073,1081,1096,1099,1112,1120,1122,1137,1141,1150,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,20,32,37,43,53,67,75,85,89,95,110,116,119,131,137,149,156,168,172,313,320,328,340,350,360,368,369,383,388,397,405,420,423,434,442,452,601,616,622,630,639,644,653,662,673,684,690,700,705,712,728,730,741,749,756,770,774,784,789,798,806,814,828,834,840,856,857,870,876,889,895,900,916,922,926,940,946,955,966,970,977,989,995,1002,1016,1027,1028,1041,1051,1059,1066,1075,1081,1094,1102,1112,1114,1127,1134,1142,1148,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,25,33,41,48,57,67,72,83,92,101,103,118,125,134,139,146,156,165,175,315,324,331,343,352,357,363,374,385,387,401,410,417,428,435,441,461,605,614,624,633,642,646,660,667,675,680,689,698,710,719,726,731,743,748,760,769,771,784,793,803,806,822,824,834,846,850,860,873,879,884,897,900,908,919,931,936,946,953,961,973,984,992,999,1007,1015,1023,1034,1044,1052,1057,1068,1076,1081,1091,1098,1109,1116,1127,1133,1147,1148,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,31,42,49,55,67,73,79,87,101,102,115,124,128,144,145,155,166,173,189,323,328,340,346,357,367,374,384,394,401,407,417,428,437,445,598,602,614,618,632,639,645,656,662,672,677,694,699,709,712,722,734,741,751,761,763,772,785,791,799,809,819,829,834,847,849,862,865,875,887,896,905,909,919,931,939,943,954,965,976,984,986,999,1006,1011,1027,1035,1044,1052,1055,1070,1072,1081,1092,1098,1107,1118,1129,1132,1145,1152,1157,1170,1178	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,11,23,30,35,44,56,67,71,84,91,97,110,116,121,129,145,147,155,168,178,316,320,332,338,344,358,362,373,382,389,400,406,417,424,429,445,450,602,615,625,633,643,648,652,664,672,680,689,698,709,719,724,730,739,747,762,764,775,781,797,804,809,817,823,837,846,852,863,871,875,887,894,900,913,922,927,938,943,954,962,974,984,993,1001,1010,1011,1025,1032,1040,1047,1058,1065,1072,1084,1095,1100,1108,1119,1128,1138,1143,1150,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,28,40,45,55,68,69,77,88,100,103,112,127,135,139,146,161,166,171,313,321,327,336,344,356,366,376,378,388,398,407,412,424,430,444,597,604,610,624,627,635,649,657,664,673,679,688,697,706,717,724,731,742,751,758,765,778,783,792,805,813,821,823,839,843,856,857,873,880,885,896,902,909,922,930,938,946,951,962,976,978,987,1000,1002,1011,1025,1029,1042,1049,1056,1066,1071,1086,1092,1101,1110,1120,1126,1138,1145,1148,1158,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,30,41,48,55,61,72,78,93,97,103,115,124,132,137,153,158,168,177,315,320,329,338,346,357,368,372,382,393,400,405,420,421,435,442,600,608,615,621,632,639,649,653,661,677,679,694,698,707,714,723,736,741,752,762,770,774,783,789,803,813,816,823,834,848,849,859,872,880,885,892,904,910,923,931,939,947,958,963,975,983,985,994,1003,1014,1027,1034,1040,1050,1055,1063,1071,1083,1088,1101,1111,1114,1127,1133,1139,1153,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,31,38,51,56,61,75,79,86,96,110,114,119,130,142,146,155,169,172,313,323,329,343,347,357,368,373,382,387,398,405,412,424,431,439,449,602,615,619,634,636,647,657,667,669,678,686,699,710,714,723,733,741,751,761,770,774,788,790,803,809,818,827,832,842,856,863,872,881,889,898,900,915,924,932,940,950,956,967,971,977,988,996,1003,1015,1026,1033,1039,1046,1058,1062,1071,1086,1092,1097,1111,1114,1127,1130,1144,1149,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,32,36,45,54,63,73,80,86,100,102,111,125,131,145,149,156,168,177,182,322,328,340,350,355,361,377,383,394,396,408,418,428,429,445,596,602,613,619,633,636,647,657,662,672,682,692,703,708,717,727,729,741,748,758,766,776,785,796,803,806,819,830,835,843,856,860,870,874,883,898,906,914,917,932,942,947,952,959,970,976,987,996,1005,1013,1025,1034,1039,1052,1053,1065,1072,1085,1094,1098,1110,1120,1122,1133,1144,1151,1156,1169,1178	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,14,20,29,36,48,51,65,71,81,87,96,110,116,126,133,138,146,154,166,176,316,321,330,337,345,353,367,376,380,394,399,405,420,428,433,440,600,603,617,624,627,637,649,658,667,672,681,694,698,703,719,727,733,740,749,758,767,777,787,796,804,811,820,826,835,840,853,864,866,877,886,897,901,915,918,931,935,949,954,967,970,983,988,999,1008,1017,1025,1028,1043,1045,1054,1068,1074,1079,1094,1103,1107,1116,1130,1136,1140,1154,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,32,41,47,52,68,75,82,89,101,109,118,124,130,136,151,154,165,171,317,319,331,338,350,359,367,373,383,393,401,405,417,425,434,444,450,603,609,621,629,640,643,659,661,670,680,689,697,703,719,725,736,742,753,760,765,774,784,790,805,809,818,823,839,845,850,864,872,881,883,893,905,915,925,927,937,947,954,963,975,983,990,1000,1009,1019,1023,1030,1038,1048,1054,1069,1076,1079,1089,1102,1110,1114,1123,1132,1143,1148,1161,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,31,36,43,55,65,69,78,90,94,109,112,120,131,139,150,159,163,174,313,321,327,342,348,353,366,374,379,392,398,411,415,428,434,445,600,604,612,624,628,638,651,655,665,676,681,692,701,704,716,728,737,743,748,761,767,779,780,789,799,812,815,826,832,843,857,865,866,875,883,897,904,915,925,931,938,946,953,967,975,983,992,998,1005,1013,1025,1033,1040,1052,1056,1064,1072,1086,1093,1097,1107,1116,1124,1135,1142,1154,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,27,41,46,53,65,68,82,91,97,109,117,124,129,142,152,158,168,177,314,323,334,338,349,355,368,374,378,390,397,407,415,425,436,441,448,606,613,621,630,638,650,657,664,676,683,692,696,704,712,726,737,739,750,759,764,779,783,795,803,808,818,827,833,843,855,860,872,878,890,895,902,912,925,931,935,942,956,962,974,984,985,995,1010,1018,1025,1028,1038,1048,1060,1067,1074,1082,1093,1096,1104,1118,1127,1137,1147,1151,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,27,35,44,58,60,76,79,91,97,108,117,124,128,142,152,160,164,178,314,322,327,342,350,354,361,370,381,392,397,409,414,421,429,441,600,602,610,624,634,643,645,655,666,677,684,688,694,709,715,726,732,741,753,756,770,772,781,789,797,809,817,830,833,842,853,861,870,879,888,899,907,913,918,932,941,948,951,963,968,977,986,994,1005,1018,1023,1033,1038,1051,1053,1064,1074,1082,1091,1096,1106,1116,1127,1138,1139,1148,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,31,42,43,57,62,72,85,89,94,108,113,125,134,142,145,159,163,176,317,322,330,338,350,356,367,377,385,391,399,409,415,427,429,442,597,601,613,625,634,643,646,657,661,671,683,692,699,711,717,728,733,744,750,754,769,775,788,796,797,807,818,823,838,847,850,859,868,880,884,894,906,914,920,928,941,950,959,961,974,983,992,994,1009,1015,1020,1028,1044,1052,1054,1067,1073,1087,1094,1102,1107,1121,1123,1135,1144,1148,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,23,29,39,50,54,64,71,79,86,98,109,114,127,132,136,150,154,165,175,314,319,333,341,345,360,365,374,384,391,397,405,413,421,437,442,600,603,613,623,630,642,649,656,664,675,681,691,697,707,719,725,736,741,752,759,768,775,783,794,801,813,815,826,836,845,850,857,869,880,882,892,905,912,919,932,936,944,955,963,972,980,988,998,1008,1018,1022,1028,1042,1049,1059,1065,1075,1083,1088,1096,1110,1114,1123,1131,1144,1155,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,27,41,44,58,60,69,81,86,96,110,111,124,130,140,151,155,170,172,315,321,327,340,348,353,363,373,378,391,396,409,420,426,437,438,468,603,613,621,631,635,644,656,664,676,683,694,696,706,716,722,731,739,747,758,768,774,786,791,802,810,821,827,838,840,852,860,874,876,885,894,906,912,917,931,934,944,952,961,973,984,990,994,1008,1017,1024,1031,1044,1053,1055,1066,1078,1085,1093,1099,1112,1119,1128,1135,1144,1149,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,31,38,50,55,64,73,77,86,102,109,118,125,134,141,151,155,166,171,315,319,333,336,349,353,364,375,381,390,398,406,419,424,430,445,597,603,617,623,627,638,646,659,663,669,679,690,697,705,716,723,735,741,747,761,764,779,783,789,799,810,815,824,839,843,850,864,873,880,885,894,901,910,921,927,939,945,954,961,974,980,986,1001,1008,1017,1025,1032,1039,1049,1060,1067,1074,1085,1094,1103,1110,1115,1126,1134,1139,1148,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,26,41,46,51,61,72,77,86,102,109,118,123,135,139,150,155,166,175,317,318,329,343,348,353,369,371,379,386,403,410,419,425,431,445,466,603,615,623,634,637,646,657,664,669,679,691,697,709,714,721,732,740,747,762,769,775,783,793,798,812,818,823,835,848,852,860,873,879,888,894,900,913,918,932,942,943,951,968,969,985,989,1000,1006,1018,1019,1030,1041,1050,1057,1068,1079,1086,1090,1104,1109,1116,1126,1132,1140,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,23,26,38,47,58,67,68,76,91,98,106,112,126,129,136,149,160,166,173,313,322,327,336,351,355,366,371,382,392,398,406,419,422,435,442,599,605,617,626,627,637,649,654,664,673,684,689,702,708,717,726,730,742,752,757,764,775,782,795,797,813,819,826,832,842,856,862,866,874,886,895,904,910,922,927,941,943,953,961,968,976,987,995,1005,1012,1020,1035,1037,1047,1054,1063,1075,1080,1094,1102,1113,1121,1127,1137,1139,1155,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,29,40,42,54,65,69,82,92,100,106,112,123,131,141,149,154,169,171,315,322,328,342,351,354,366,372,385,386,400,408,420,422,435,441,471,601,614,619,634,639,649,655,667,675,678,689,701,707,715,728,733,745,753,755,764,779,783,797,799,809,822,824,833,847,850,863,867,880,886,897,899,912,924,927,939,948,954,962,975,984,988,1000,1004,1015,1019,1031,1040,1049,1060,1068,1073,1082,1095,1096,1109,1116,1128,1132,1144,1154,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,17,31,39,49,57,66,76,84,89,95,103,115,125,136,142,153,155,165,176,182,318,334,343,349,356,367,375,384,389,400,410,418,424,431,437,468,607,610,621,627,642,648,654,667,673,683,687,699,704,719,726,735,740,746,760,769,777,784,795,797,813,817,829,831,843,854,859,872,880,885,898,902,913,924,930,939,944,954,966,969,978,987,1000,1003,1016,1025,1032,1044,1048,1055,1063,1079,1081,1095,1103,1110,1115,1129,1133,1143,1151,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,17,22,30,37,44,51,60,75,79,88,102,105,117,127,136,142,153,155,169,176,185,321,326,337,350,355,366,377,381,392,397,405,412,424,430,446,596,609,614,623,628,636,643,653,661,674,679,694,702,709,716,722,733,738,747,756,768,778,782,788,800,813,820,824,835,840,854,859,867,879,884,898,902,915,923,933,934,946,957,961,969,981,991,998,1007,1016,1024,1034,1040,1045,1054,1067,1074,1084,1090,1100,1112,1115,1124,1134,1142,1149,1164,1172,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,26,42,45,54,65,75,81,90,100,102,116,126,133,140,153,156,170,174,182,321,331,338,348,360,365,369,378,393,397,409,420,422,434,438,597,608,616,622,630,638,650,655,665,669,682,693,702,708,715,726,730,742,752,762,767,772,786,792,801,811,814,828,832,841,852,862,870,874,883,896,906,908,919,931,940,950,955,964,975,983,985,995,1007,1011,1019,1035,1036,1045,1053,1069,1078,1082,1089,1097,1104,1117,1130,1138,1139,1150,1158,1170,1177	0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,9,20,25,35,46,51,61,74,79,92,95,105,114,120,134,143,147,159,167,176,180,325,332,340,345,358,361,375,379,391,396,409,412,427,430,442,471,605,610,621,632,640,647,654,664,674,681,688,697,710,715,728,736,738,748,759,765,773,787,793,799,809,818,828,833,840,856,857,868,876,885,897,905,909,920,931,934,947,958,967,972,983,988,996,1009,1012,1021,1032,1039,1045,1056,1062,1078,1081,1089,1099,1108,1119,1122,1138,1140,1150,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,23,29,41,44,58,62,75,85,89,95,106,116,126,128,142,152,160,163,174,188,321,331,340,350,354,369,376,378,393,399,411,420,423,433,443,599,606,611,619,630,640,647,658,666,669,678,688,700,706,715,721,735,743,751,755,770,773,786,791,803,810,821,830,838,846,848,865,874,877,889,897,905,908,918,928,940,948,952,964,974,976,988,996,1007,1011,1021,1032,1042,1045,1056,1067,1073,1084,1091,1102,1104,1121,1128,1133,1147,1155,1160,1166	1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,18,27,39,48,53,63,75,79,90,95,104,116,125,132,144,146,153,163,173,180,324,328,343,348,359,369,373,382,393,401,408,417,427,433,438,597,601,615,618,626,638,644,659,667,673,681,688,698,705,713,725,736,740,752,757,763,775,788,797,799,809,820,831,835,847,853,860,873,875,883,895,902,915,925,929,936,946,951,960,973,977,986,999,1002,1011,1020,1031,1037,1045,1054,1069,1075,1080,1091,1102,1106,1119,1125,1134,1139,1149,1159,1166	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
6,13,21,30,36,44,53,60,76,81,88,97,107,117,123,134,139,147,160,168,176,179,319,334,339,344,356,366,370,381,394,397,411,418,424,436,438,452,608,616,623,630,638,646,656,661,670,680,688,702,709,716,726,731,745,746,755,768,777,786,795,798,808,817,825,836,844,851,862,870,881,884,896,908,915,919,932,938,948,956,965,975,984,987,993,1008,1015,1023,1035,1040,1045,1061,1068,1072,1083,1095,1101,1105,1121,1124,1135,1140,1153,1161,1171,1175	1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1
6,14,18,27,37,43,56,66,75,79,93,95,107,112,124,130,142,149,158,170,173,190,319,333,338,351,358,362,376,380,391,395,412,417,425,434,438,460,607,610,624,633,643,649,658,667,669,686,691,696,710,713,722,729,744,750,761,765,780,786,795,800,810,819,829,831,840,854,861,871,878,891,895,905,915,922,932,937,945,957,968,973,982,992,996,1009,1010,1025,1029,1038,1048,1054,1069,1072,1080,1092,1099,1112,1116,1123,1133,1141,1152,1160,1167	1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,21,31,40,44,55,61,71,78,87,96,102,113,120,130,142,150,158,164,171,315,322,332,341,351,352,368,376,385,394,397,408,416,426,433,445,598,607,610,618,631,643,651,660,666,672,682,694,701,708,713,724,733,741,752,760,769,776,785,791,805,809,817,831,832,845,854,862,867,882,886,893,902,914,924,927,939,942,955,964,974,979,993,994,1009,1011,1022,1028,1042,1053,1062,1066,1073,1081,1093,1101,1110,1121,1122,1133,1145,1149,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,27,42,45,51,63,71,80,92,95,109,119,120,130,144,148,158,162,178,182,322,333,338,347,357,363,374,379,388,402,405,417,423,429,445,596,608,611,623,627,639,651,658,667,671,678,693,700,707,713,726,733,740,753,759,769,778,787,796,804,813,815,829,833,844,850,860,873,882,890,896,900,912,923,933,941,943,954,962,969,980,991,1000,1006,1014,1023,1031,1041,1048,1053,1070,1075,1079,1092,1100,1106,1118,1130,1137,1141,1149,1161,1168,1174	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,13,19,28,41,46,58,62,75,79,86,96,106,119,121,131,144,150,156,166,173,182,325,332,340,350,360,363,373,379,389,397,407,415,420,430,439,596,604,610,623,630,636,645,658,662,677,684,687,700,703,714,725,731,740,753,760,766,779,786,789,800,813,820,823,835,843,855,861,873,881,889,898,902,908,924,926,935,943,958,967,968,984,987,995,1010,1017,1025,1034,1043,1046,1055,1068,1076,1079,1094,1096,1110,1121,1127,1133,1140,1153,1157,1165	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,12,24,33,38,48,58,60,72,81,88,99,102,118,121,132,144,147,161,166,176,186,325,332,342,347,357,368,377,386,388,396,405,414,421,433,444,598,608,615,621,630,637,651,659,662,676,679,694,700,711,716,723,730,741,751,755,769,775,782,793,803,810,815,828,833,846,848,861,873,878,886,893,901,910,922,927,938,947,956,960,975,982,987,1000,1004,1018,1020,1028,1040,1045,1059,1065,1072,1083,1090,1104,1107,1115,1129,1131,1143,1149,1159,1166	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
3,13,24,26,37,46,55,66,72,77,93,97,107,115,123,131,137,148,155,169,171,180,325,334,338,346,353,368,376,383,392,398,408,418,421,436,444,600,602,616,619,632,636,646,655,669,677,679,694,702,704,717,722,733,740,749,762,768,775,780,789,805,813,821,829,839,841,851,857,869,875,891,894,901,915,920,929,936,950,952,967,973,977,985,994,1010,1017,1023,1028,1040,1048,1058,1063,1074,1084,1094,1104,1105,1119,1124,1137,1145,1148,1157,1168,1176	1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,18,26,35,50,51,61,73,80,86,100,104,115,122,132,140,147,161,164,174,180,319,330,342,352,355,367,372,381,394,401,405,412,426,430,441,596,607,613,625,628,639,645,656,665,674,681,687,696,710,718,726,732,739,746,758,769,773,787,795,798,807,820,830,832,845,849,860,869,877,888,897,904,910,918,930,935,946,958,967,969,979,992,995,1003,1014,1024,1028,1043,1049,1054,1069,1075,1082,1096,1103,1111,1114,1128,1131,1141,1152,1163,1166,1177	1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,20,32,35,47,53,65,74,79,89,101,109,119,127,128,142,149,161,167,171,184,323,332,336,350,357,368,373,382,392,397,408,420,421,437,440,599,609,610,625,630,643,649,660,661,669,680,693,697,707,718,721,733,743,750,755,767,772,783,789,803,807,822,828,836,844,856,860,868,879,882,893,907,908,922,931,937,947,959,966,972,985,992,994,1005,1013,1021,1034,1042,1049,1061,1070,1079,1083,1093,1098,1104,1115,1122,1137,1144,1147,1162,1165,1174	0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
7,15,19,31,37,43,56,62,72,79,91,96,103,111,122,133,141,152,160,169,173,313,320,326,339,346,357,362,376,384,390,401,411,417,425,435,441,598,606,614,622,629,642,648,659,662,675,683,691,694,710,712,720,730,743,750,756,765,776,784,790,801,807,818,829,834,848,853,864,868,876,883,896,907,912,925,930,937,943,959,960,969,983,991,1002,1004,1019,1027,1031,1044,1047,1059,1066,1071,1086,1095,1104,1105,1119,1127,1135,1141,1154,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,25,41,45,56,66,71,76,89,96,109,111,123,132,143,150,153,170,173,314,319,331,341,351,355,367,375,384,392,400,405,413,426,434,443,453,609,616,623,633,638,645,660,662,669,682,694,696,708,717,725,734,742,754,761,765,773,781,792,798,811,814,824,833,840,853,864,867,874,883,898,900,913,921,928,940,946,955,960,970,979,985,999,1007,1012,1023,1035,1038,1052,1061,1066,1078,1085,1089,1101,1105,1121,1126,1134,1140,1154,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,27,42,45,55,60,71,83,89,101,108,115,127,135,138,149,157,164,179,313,323,335,339,345,358,362,377,384,394,402,408,414,429,436,445,598,601,612,622,628,642,646,657,665,670,680,690,696,710,715,726,736,742,749,757,763,779,780,790,805,811,822,826,838,841,857,858,868,878,883,896,904,915,917,930,936,946,958,960,973,984,992,996,1009,1012,1021,1030,1038,1051,1056,1065,1074,1079,1095,1096,1105,1116,1128,1133,1142,1153,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,19,27,37,46,52,62,71,84,88,100,107,113,125,128,140,149,155,162,177,314,321,331,337,351,356,368,377,383,391,401,407,419,426,435,442,449,608,614,624,627,643,651,657,666,673,677,686,699,711,718,724,733,744,748,763,765,779,787,794,799,808,818,824,839,845,852,863,871,876,886,898,900,915,918,929,939,947,956,960,971,978,991,999,1008,1013,1027,1034,1036,1049,1057,1067,1075,1081,1090,1100,1106,1117,1127,1138,1144,1154,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,24,29,39,46,53,63,76,85,86,101,105,113,124,129,141,145,156,168,176,317,319,334,339,348,356,364,371,380,388,399,404,419,422,435,444,453,605,615,619,630,636,645,652,665,673,685,688,697,708,720,728,731,738,749,759,771,773,787,796,804,814,821,830,834,846,855,862,867,877,887,893,905,910,923,926,936,948,955,962,971,977,990,997,1009,1011,1023,1033,1043,1045,1060,1069,1076,1082,1091,1097,1106,1113,1123,1137,1141,1150,1162,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,19,29,40,46,57,63,71,83,89,97,109,115,126,134,141,152,154,166,176,313,320,326,339,347,359,363,373,380,395,402,409,416,424,434,438,596,606,612,625,631,640,644,653,662,675,685,690,700,707,720,726,731,742,753,761,771,777,782,790,804,807,822,826,834,844,850,861,866,880,890,898,901,916,918,931,936,943,956,962,970,977,990,998,1010,1018,1019,1032,1043,1052,1057,1064,1071,1080,1092,1096,1107,1119,1122,1133,1145,1155,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,26,38,44,52,67,74,79,93,97,107,114,123,136,143,146,156,169,174,314,323,328,342,347,358,365,375,381,391,395,407,420,427,437,441,596,601,615,621,633,640,650,659,661,671,681,690,702,709,714,728,736,739,752,760,769,772,784,794,805,813,814,826,839,845,855,861,869,882,888,898,907,915,920,928,937,948,951,960,976,979,988,994,1008,1018,1026,1028,1038,1051,1060,1063,1076,1086,1095,1098,1108,1118,1122,1133,1145,1149,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,33,36,50,58,59,75,83,87,94,106,115,127,130,139,148,155,165,176,318,322,330,337,350,357,364,374,380,387,399,410,419,420,434,442,458,602,616,618,633,641,649,656,667,675,683,693,699,703,714,728,730,741,746,757,763,776,781,792,799,809,817,828,832,840,854,860,874,875,887,898,908,911,917,932,939,948,951,961,973,979,985,1002,1005,1016,1022,1029,1043,1052,1059,1064,1076,1079,1091,1104,1110,1115,1129,1134,1140,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,33,40,46,52,61,75,80,88,97,104,116,125,131,144,151,154,167,174,183,324,333,341,349,354,362,372,379,389,402,408,415,423,429,442,463,609,613,623,632,642,651,656,665,675,682,690,703,710,716,720,735,743,750,756,767,774,785,797,804,812,816,824,839,846,849,859,868,881,884,894,902,912,916,933,935,944,952,967,974,981,986,998,1003,1017,1020,1035,1040,1045,1056,1064,1078,1086,1094,1098,1112,1120,1127,1134,1143,1148,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
7,11,23,32,39,45,59,63,71,77,89,94,102,115,120,135,139,147,154,162,172,314,320,328,337,346,359,363,376,378,388,399,405,418,421,434,438,596,604,614,621,630,640,650,657,668,670,682,687,695,705,718,727,730,738,747,763,767,775,785,790,800,812,821,829,834,844,851,858,873,874,886,894,901,916,917,926,935,949,953,959,973,978,987,998,1003,1012,1021,1031,1043,1046,1061,1068,1071,1081,1093,1099,1107,1114,1126,1133,1143,1150,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,27,39,50,53,61,72,82,86,102,103,116,124,132,138,150,159,164,171,315,323,332,341,352,355,366,369,382,391,401,411,418,425,435,445,599,608,613,621,628,638,650,660,668,677,678,689,701,708,713,723,729,744,751,761,768,774,786,791,803,810,817,827,832,843,851,860,873,878,887,896,904,910,917,928,937,946,955,965,973,982,991,998,1007,1014,1022,1030,1042,1051,1059,1063,1077,1084,1090,1098,1105,1118,1125,1134,1141,1149,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,28,35,46,51,61,75,79,85,102,106,113,119,132,138,147,155,162,174,314,323,334,336,350,353,361,371,383,387,396,411,413,427,429,445,600,604,611,620,632,642,649,652,661,670,681,689,695,703,714,725,734,737,746,758,771,779,781,792,804,807,819,827,831,840,848,861,872,880,884,893,906,909,922,927,936,950,951,960,972,980,988,997,1009,1016,1020,1029,1041,1053,1059,1067,1075,1087,1090,1104,1105,1114,1127,1138,1145,1149,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,28,38,50,58,62,72,81,91,94,107,112,124,131,140,151,155,163,171,315,324,332,339,350,357,366,377,386,388,402,403,414,425,429,439,600,607,616,620,632,639,650,655,661,670,681,694,700,703,712,723,732,744,750,757,766,777,785,791,801,811,815,830,837,841,855,864,865,881,888,897,901,916,920,932,935,943,954,963,975,977,989,996,1010,1012,1024,1035,1037,1049,1054,1062,1076,1085,1092,1101,1112,1118,1122,1132,1142,1154,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,31,40,44,53,60,70,81,89,95,106,119,121,136,141,148,160,164,173,182,323,329,337,344,357,368,370,385,390,400,404,418,425,432,446,598,602,611,619,629,638,652,653,663,670,684,690,694,706,714,724,737,740,748,758,766,772,785,792,804,806,821,826,834,846,852,862,873,877,882,897,905,915,923,932,942,945,956,961,973,978,988,997,1009,1014,1026,1033,1038,1048,1058,1067,1078,1082,1088,1100,1109,1118,1126,1136,1143,1149,1159,1167,1173	0,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,16,24,28,37,42,58,61,72,78,87,95,104,117,126,134,137,147,154,166,174,318,320,332,340,344,353,363,373,379,387,399,405,418,424,433,442,598,601,610,624,628,642,645,659,665,676,684,694,698,706,719,722,737,742,750,760,768,775,786,793,798,813,818,828,832,840,856,861,873,875,887,896,906,914,918,929,940,942,957,961,968,982,986,998,1007,1011,1022,1029,1039,1050,1054,1069,1074,1082,1088,1100,1112,1116,1129,1132,1144,1154,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,18,29,35,47,57,63,70,83,86,98,110,113,124,135,143,151,155,163,173,317,322,331,339,349,356,369,371,385,394,396,408,416,428,432,444,447,607,611,625,634,642,648,659,665,675,684,686,701,711,716,728,730,741,752,761,770,779,785,791,802,807,818,825,839,842,854,863,869,879,887,896,903,914,917,930,940,944,957,967,976,979,989,998,1002,1014,1027,1036,1044,1052,1057,1067,1078,1083,1089,1103,1108,1117,1126,1132,1142,1155,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,22,32,37,45,57,62,70,81,89,98,107,118,120,128,143,146,158,163,174,315,321,330,339,351,357,366,373,379,388,399,410,413,423,430,445,450,603,610,622,633,640,650,658,667,672,685,693,702,704,713,725,734,744,749,758,768,774,787,795,799,810,821,829,832,841,856,862,872,876,886,899,904,914,918,929,934,948,951,967,976,977,986,994,1003,1017,1020,1035,1038,1052,1055,1063,1071,1082,1088,1099,1104,1121,1122,1134,1140,1148,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,29,35,43,55,65,74,84,90,98,103,113,126,129,144,151,153,164,171,317,325,333,336,352,357,369,376,381,387,398,404,420,428,436,438,470,607,615,622,629,640,647,656,661,672,684,687,702,710,713,725,729,744,753,759,768,779,786,792,802,811,814,828,834,845,854,862,873,876,890,897,908,912,921,931,938,942,955,959,969,979,991,997,1009,1011,1022,1030,1038,1052,1060,1063,1072,1087,1088,1101,1109,1115,1128,1133,1145,1152,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,32,37,46,59,67,68,79,93,97,103,114,127,133,141,149,158,165,172,315,318,330,336,352,360,361,376,382,391,402,409,413,428,431,439,596,607,609,621,631,641,648,652,668,674,681,690,695,707,719,721,734,745,751,761,766,777,783,792,799,809,822,827,831,843,853,864,868,874,883,898,902,911,918,925,940,942,959,965,969,980,989,999,1004,1012,1022,1028,1038,1049,1059,1065,1077,1081,1093,1097,1111,1119,1125,1132,1143,1155,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,29,35,50,56,61,69,79,93,97,104,113,126,133,143,149,159,164,179,317,321,327,341,350,359,365,373,381,390,400,404,412,423,437,441,468,606,616,623,630,636,648,654,665,675,680,686,699,711,713,724,733,743,747,759,769,779,785,792,799,813,818,830,839,846,851,865,867,879,883,894,904,909,925,929,942,948,958,965,976,979,990,995,1004,1017,1021,1030,1043,1050,1058,1069,1075,1087,1092,1104,1105,1117,1127,1136,1143,1152,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,33,37,50,57,62,74,84,85,100,104,115,119,131,144,151,157,163,171,313,325,327,342,350,360,369,374,386,387,397,407,418,429,431,445,598,607,610,626,627,638,649,654,668,670,677,692,695,706,719,722,733,745,754,760,770,775,782,791,802,807,817,823,839,843,851,863,870,876,883,895,900,915,923,931,941,948,957,963,968,980,986,993,1010,1012,1019,1033,1042,1046,1057,1067,1070,1081,1088,1098,1109,1118,1129,1135,1141,1154,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,31,38,49,51,60,76,84,89,94,109,119,121,129,138,149,156,169,178,316,323,334,343,346,353,362,371,379,392,402,408,419,423,433,445,466,601,611,618,634,638,651,660,661,672,680,687,698,708,716,724,733,740,752,758,765,776,784,797,802,808,817,827,831,840,856,861,867,880,886,895,901,913,923,933,937,946,959,963,972,978,991,1001,1009,1017,1022,1033,1044,1052,1055,1066,1070,1084,1089,1099,1106,1120,1122,1133,1142,1147,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,31,38,47,59,67,72,84,86,95,109,118,119,133,137,150,162,164,172,316,319,331,342,347,359,367,376,382,392,402,406,419,425,429,439,599,608,612,620,632,641,651,654,664,674,682,689,697,709,716,723,731,743,749,761,763,776,783,796,801,812,818,830,835,847,853,859,871,878,889,898,904,916,922,932,934,947,955,962,973,981,991,996,1008,1018,1021,1031,1041,1046,1056,1064,1076,1085,1088,1104,1105,1115,1129,1136,1140,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,29,40,47,54,60,73,81,92,99,110,111,125,130,137,147,155,168,175,313,323,327,339,351,353,361,376,378,391,399,411,418,423,430,446,468,608,615,620,631,635,647,660,667,676,680,693,699,706,713,721,731,737,750,758,766,778,784,792,805,808,820,825,835,848,850,860,868,874,889,895,904,914,919,933,935,944,955,963,971,978,989,1002,1008,1012,1025,1034,1042,1046,1060,1064,1077,1080,1092,1100,1109,1116,1124,1136,1139,1152,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,23,33,37,49,58,63,71,78,92,100,109,113,126,133,136,146,159,164,173,314,318,331,341,350,353,367,371,381,387,396,409,415,424,434,440,597,608,613,620,628,636,649,653,665,675,679,693,696,707,716,728,729,745,751,762,771,772,785,792,803,810,814,827,837,843,851,865,866,880,883,894,906,913,924,928,934,944,954,960,972,983,986,999,1010,1016,1022,1030,1042,1049,1057,1062,1074,1081,1095,1097,1104,1117,1129,1137,1146,1152,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,26,41,48,59,68,73,80,93,99,110,113,127,130,143,153,159,170,175,313,322,332,339,348,358,368,373,384,393,401,408,414,422,430,444,449,604,612,619,633,637,647,652,667,673,680,692,696,709,713,720,732,742,746,758,768,779,785,795,803,812,816,826,832,848,851,865,873,879,890,897,903,911,921,931,934,950,953,964,976,978,988,994,1007,1015,1023,1032,1041,1045,1055,1063,1078,1087,1089,1104,1109,1115,1124,1131,1143,1150,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,28,40,51,59,61,75,79,90,95,107,113,122,133,142,146,159,163,176,182,319,331,340,347,357,368,372,386,388,400,405,413,429,431,445,448,606,615,622,627,640,648,660,665,675,681,694,702,704,714,727,732,743,750,754,763,779,781,795,799,807,819,824,832,844,850,861,871,879,891,899,904,915,919,931,940,945,958,967,968,977,990,997,1002,1014,1023,1035,1042,1049,1057,1066,1071,1086,1095,1104,1111,1115,1124,1134,1146,1155,1164,1167,1177	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
1,11,24,32,35,49,53,63,72,83,88,97,109,117,123,134,139,145,161,165,175,180,324,327,342,350,355,364,371,380,393,395,411,418,429,436,446,600,603,615,624,633,642,649,659,668,672,678,686,699,708,713,723,733,744,752,757,766,774,782,794,804,813,816,830,831,847,849,860,874,875,883,892,903,909,922,930,935,950,953,966,969,979,990,1000,1002,1013,1027,1035,1039,1050,1059,1068,1071,1079,1088,1099,1107,1116,1129,1136,1140,1153,1159,1165,1177	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,8,19,31,42,49,59,63,72,78,90,98,106,118,120,129,143,148,159,162,174,198,324,332,336,346,356,368,374,384,386,400,406,412,421,434,438,599,605,613,618,629,641,648,658,662,672,680,694,697,704,718,720,730,740,753,760,765,778,786,796,799,807,821,828,838,846,856,862,872,878,889,898,907,914,922,932,941,943,956,965,973,983,990,996,1009,1019,1023,1034,1041,1048,1058,1066,1078,1085,1094,1102,1109,1121,1123,1135,1145,1149,1163,1170,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
7,9,17,33,41,43,56,67,75,84,85,98,103,115,122,135,140,147,156,170,178,185,320,335,339,346,358,365,377,384,390,395,411,413,426,437,441,452,606,609,620,627,642,646,655,666,670,683,688,702,703,715,726,736,737,751,757,768,773,782,794,805,810,819,827,836,842,852,858,872,876,887,897,902,912,922,929,941,944,959,964,972,984,990,1000,1010,1015,1024,1031,1039,1047,1060,1065,1076,1087,1092,1103,1108,1121,1128,1138,1146,1151,1162,1166	1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
8,10,20,26,35,48,54,63,72,82,92,101,107,111,121,135,141,147,156,164,172,184,320,332,340,350,358,362,373,381,394,402,405,418,428,435,440,596,605,611,623,632,636,651,652,662,674,680,693,700,704,713,721,733,739,753,756,765,778,785,792,798,809,817,823,834,846,849,865,868,879,883,898,905,916,920,925,934,947,955,962,976,982,988,1000,1008,1016,1022,1032,1042,1050,1060,1064,1077,1084,1095,1100,1107,1117,1122,1138,1144,1155,1156,1169,1177	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,20,33,36,50,57,67,70,79,89,99,104,116,125,130,136,146,157,162,177,183,322,329,342,345,353,364,371,383,389,401,405,416,427,435,441,599,602,617,619,629,635,647,655,667,677,684,689,702,710,712,726,731,738,747,757,767,775,782,795,798,809,816,826,838,844,853,864,868,876,883,894,900,914,919,933,939,944,951,961,969,982,991,995,1007,1019,1020,1029,1044,1052,1060,1068,1072,1085,1095,1096,1112,1114,1126,1137,1139,1153,1161,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,12,19,33,38,51,57,60,76,82,91,96,105,112,124,135,142,152,155,167,177,180,321,331,340,346,354,363,373,381,393,402,411,418,428,435,444,597,603,613,622,628,642,649,652,662,676,681,692,698,706,719,728,735,745,751,758,763,774,786,789,798,810,817,824,833,845,856,860,865,882,885,892,907,910,925,926,939,948,952,963,976,982,993,998,1002,1011,1020,1029,1041,1049,1056,1065,1073,1087,1093,1101,1112,1116,1124,1133,1145,1147,1159,1168	0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,18,29,37,48,52,62,76,82,92,100,111,114,122,132,140,146,155,165,174,183,324,333,341,347,359,364,372,378,392,400,409,415,427,435,443,455,605,616,618,631,639,650,660,666,672,686,691,698,707,716,723,737,739,752,756,768,777,788,792,803,813,820,824,832,843,856,861,871,874,888,895,907,912,920,931,934,942,954,967,975,979,990,994,1009,1016,1027,1032,1042,1047,1053,1065,1073,1081,1090,1099,1110,1113,1126,1136,1140,1149,1159,1170	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,13,19,33,41,44,54,66,72,77,86,97,108,117,126,128,140,152,157,166,172,314,326,335,338,349,357,362,370,383,388,396,404,413,422,435,440,461,600,616,622,629,642,651,653,667,677,683,688,697,705,718,727,730,738,746,762,766,773,786,796,804,807,820,822,839,843,850,862,870,877,889,893,904,912,922,926,941,946,954,966,975,977,990,998,1004,1011,1025,1033,1044,1047,1056,1064,1077,1087,1090,1103,1105,1115,1129,1135,1139,1153,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,31,40,50,56,64,68,80,85,98,102,118,122,133,140,149,154,167,175,186,325,328,338,345,354,363,370,378,389,400,408,412,423,435,441,459,605,614,622,631,639,645,653,666,669,682,687,700,711,720,725,729,742,750,761,767,777,782,792,802,812,822,829,838,846,853,857,865,881,888,899,901,912,919,929,934,943,957,965,973,984,993,1002,1007,1016,1022,1028,1042,1048,1058,1068,1075,1080,1092,1096,1111,1119,1124,1136,1143,1153,1160,1167,1173	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,22,31,42,49,52,61,70,84,90,99,102,116,125,133,138,145,158,165,175,179,320,330,337,347,360,367,376,383,392,403,411,419,423,435,443,465,600,611,624,632,643,650,652,663,671,682,690,698,703,716,722,732,737,746,758,765,778,787,792,799,812,815,824,836,842,854,864,868,878,890,892,908,916,917,926,941,946,952,962,973,979,988,997,1003,1017,1022,1028,1044,1047,1055,1069,1075,1081,1088,1098,1109,1119,1126,1134,1145,1154,1160,1168,1176	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,24,26,40,46,59,64,70,81,92,94,108,117,124,135,144,150,157,168,179,180,318,332,342,351,360,364,370,379,389,401,408,416,425,431,441,597,602,617,622,629,637,650,657,669,673,678,689,702,710,717,724,735,744,747,755,766,772,786,793,803,807,821,827,833,841,851,858,869,879,886,898,900,913,925,926,934,950,958,967,972,981,988,998,1005,1011,1026,1035,1042,1051,1056,1067,1071,1086,1089,1103,1109,1120,1126,1134,1141,1154,1161,1167,1177	0,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,13,18,27,34,45,59,64,73,79,87,98,104,115,120,132,140,153,156,167,171,202,322,332,340,351,357,367,376,380,387,401,409,417,426,431,445,470,607,617,618,630,643,650,657,662,676,683,692,698,710,717,720,729,741,750,758,765,772,787,791,805,811,821,827,838,847,853,864,873,881,889,892,904,916,922,925,937,943,951,967,970,980,987,994,1008,1015,1023,1029,1040,1047,1057,1069,1071,1079,1089,1103,1106,1121,1123,1137,1145,1155,1157,1169	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,21,28,34,46,53,60,74,78,87,94,102,118,125,130,139,149,154,165,175,185,322,330,340,349,357,366,376,383,389,397,408,414,428,437,439,455,602,617,620,628,641,650,660,662,675,677,689,695,709,720,721,737,738,754,755,769,776,786,790,805,811,821,826,834,842,851,858,866,877,885,893,905,909,921,926,941,944,956,967,971,978,991,994,1006,1016,1020,1031,1040,1049,1053,1068,1075,1082,1088,1096,1111,1121,1123,1138,1140,1150,1162,1169,1177	1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,21,25,37,42,59,63,74,84,86,97,110,117,119,133,145,146,161,166,174,183,319,330,337,348,358,362,369,379,393,403,409,420,425,434,439,453,605,611,625,633,635,649,652,667,672,683,687,695,705,714,726,734,740,752,761,771,774,781,795,797,813,816,823,833,843,854,864,867,879,883,893,901,915,920,929,939,946,954,966,969,977,991,998,1010,1015,1020,1035,1039,1046,1059,1066,1071,1083,1094,1096,1109,1120,1123,1136,1143,1154,1159,1168,1174	1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,9,22,29,39,46,53,67,73,79,87,101,104,112,126,133,140,152,159,167,175,316,326,330,342,344,355,365,371,378,394,400,407,413,425,433,440,468,603,616,626,628,639,650,660,667,677,683,693,695,709,713,724,735,739,748,761,768,774,784,793,800,814,820,826,839,845,852,864,869,879,889,896,901,908,920,927,934,944,955,964,970,981,991,1000,1002,1014,1024,1034,1038,1051,1059,1064,1075,1079,1095,1099,1108,1113,1122,1137,1146,1152,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,25,33,40,43,57,65,74,77,92,96,107,118,121,132,144,147,155,163,176,313,326,328,339,344,355,361,376,384,392,402,409,420,429,434,441,449,606,617,621,629,637,644,659,663,669,679,692,694,709,715,727,735,740,754,757,770,778,780,791,805,812,820,824,836,842,854,857,870,874,882,896,906,911,923,932,937,944,951,964,976,978,985,996,1007,1019,1025,1036,1039,1046,1056,1062,1076,1084,1087,1096,1109,1118,1126,1133,1144,1150,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,33,37,46,51,65,72,76,93,98,106,119,123,136,140,149,159,166,177,317,321,333,341,350,353,366,375,380,389,395,405,418,424,436,442,599,608,609,618,631,635,646,658,668,669,681,689,703,707,715,727,731,741,746,756,770,773,784,791,800,814,818,825,831,845,855,860,871,882,883,893,906,912,924,931,938,948,952,960,976,983,986,998,1010,1019,1023,1029,1042,1048,1060,1063,1074,1085,1092,1101,1107,1114,1125,1137,1142,1148,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,18,31,38,43,52,66,69,77,88,99,106,114,120,128,141,147,154,168,175,315,320,328,340,349,357,369,371,382,387,398,406,413,425,431,445,471,602,612,621,628,641,648,655,661,669,685,690,699,710,713,726,736,738,753,762,770,777,782,789,803,811,819,829,833,847,849,865,870,877,886,893,907,916,921,932,935,950,959,961,975,979,986,1001,1010,1017,1022,1033,1042,1045,1057,1062,1073,1086,1092,1103,1112,1114,1127,1138,1144,1150,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,24,33,40,48,51,68,74,79,93,102,104,113,125,129,142,146,154,169,173,314,323,334,337,344,356,365,377,379,391,395,405,420,424,435,438,599,604,614,625,626,636,647,657,663,674,684,689,700,709,717,722,730,745,750,757,763,776,785,792,803,811,815,826,838,843,855,862,867,879,883,894,901,914,917,931,942,948,952,963,973,980,990,996,1006,1011,1025,1031,1040,1048,1053,1070,1073,1085,1094,1100,1104,1113,1128,1138,1140,1152,1160,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,29,40,43,57,68,72,78,86,102,110,113,120,133,141,147,160,166,175,314,318,329,338,349,355,365,370,382,388,398,410,416,423,437,439,599,607,611,619,632,636,644,653,666,669,684,691,702,706,718,724,729,739,750,757,767,773,788,790,801,810,818,823,836,847,850,865,870,879,889,892,906,914,925,931,940,946,952,959,970,983,987,999,1003,1012,1020,1033,1040,1045,1057,1066,1074,1082,1090,1103,1105,1120,1125,1135,1139,1153,1163,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,30,41,43,51,61,70,76,89,100,107,117,122,129,141,148,161,163,171,317,323,330,341,350,355,367,375,379,388,398,406,418,424,429,445,470,606,611,620,628,636,644,654,669,673,680,694,701,704,715,728,732,737,746,758,765,773,787,796,799,808,819,827,836,843,851,861,872,881,889,896,907,910,917,929,934,945,954,965,971,984,992,999,1007,1015,1027,1028,1044,1053,1055,1064,1074,1085,1092,1103,1105,1116,1128,1135,1145,1149,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,25,29,34,46,53,67,71,80,89,95,105,112,127,132,140,146,159,167,176,318,319,334,337,352,358,368,376,382,394,397,411,418,422,436,443,597,607,616,621,634,635,648,654,668,674,680,691,702,706,716,721,729,742,753,756,766,779,787,793,804,810,816,823,834,847,853,865,872,878,883,896,903,915,918,926,934,950,952,965,972,984,989,1000,1004,1012,1026,1035,1037,1049,1059,1070,1074,1080,1091,1100,1108,1118,1122,1136,1139,1152,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,33,34,46,58,64,71,79,85,97,106,115,123,136,145,151,160,164,172,199,320,330,335,346,360,362,370,380,390,395,407,415,428,437,443,455,607,614,625,633,635,644,660,664,674,686,690,694,709,718,729,730,742,751,759,765,774,786,791,805,806,819,828,835,844,856,858,868,876,883,896,901,915,919,933,940,949,959,965,973,980,993,997,1003,1017,1026,1029,1041,1048,1059,1070,1078,1081,1088,1099,1109,1119,1129,1135,1146,1153,1162,1167,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,16,24,28,37,43,51,65,68,83,90,102,108,113,124,129,137,146,156,164,176,317,319,334,338,349,354,361,371,381,390,395,411,414,428,429,439,450,603,617,620,627,640,645,657,668,669,682,688,697,705,716,728,734,740,750,755,763,777,780,792,799,807,821,827,833,841,853,863,870,877,889,891,904,912,920,927,941,947,958,962,972,979,993,998,1002,1017,1024,1032,1040,1045,1057,1070,1075,1079,1090,1099,1109,1118,1125,1130,1142,1149,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,26,39,48,52,67,73,85,87,99,107,118,120,135,136,149,160,164,173,317,325,327,339,350,360,364,376,382,389,398,412,417,423,432,443,600,603,613,621,626,642,650,656,663,670,679,693,701,711,717,724,733,742,752,758,764,772,787,797,802,810,814,829,839,842,850,864,871,877,886,896,903,909,918,927,935,942,954,967,971,980,991,997,1008,1015,1026,1033,1043,1053,1060,1069,1071,1083,1096,1097,1109,1121,1125,1134,1145,1151,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,24,32,36,47,59,65,68,77,92,95,109,118,122,135,140,147,155,169,172,317,319,329,339,348,359,368,375,382,386,400,403,415,425,434,443,599,608,614,618,633,635,651,653,666,669,683,688,700,708,718,720,735,740,747,756,764,773,788,791,798,810,820,831,837,841,855,859,866,874,889,896,900,911,918,927,937,948,959,966,974,979,992,996,1005,1016,1025,1035,1037,1045,1061,1062,1071,1085,1092,1099,1104,1114,1127,1135,1139,1151,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,33,41,47,59,67,68,80,88,99,108,117,120,134,142,148,161,166,174,314,318,330,341,351,356,364,372,384,387,398,409,419,423,430,445,600,606,610,625,627,641,650,658,664,676,678,688,700,705,714,726,733,737,746,755,767,774,784,795,799,814,820,830,833,841,855,863,866,875,884,892,900,909,923,932,940,943,952,964,975,980,985,998,1004,1016,1022,1029,1037,1049,1060,1064,1074,1085,1087,1103,1107,1117,1129,1130,1146,1148,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,18,33,42,48,51,68,76,83,93,99,103,115,123,130,139,145,157,170,173,201,321,330,338,351,355,362,371,384,387,401,411,412,426,437,440,596,603,617,624,631,642,648,653,663,673,685,690,699,710,718,723,733,738,748,756,766,777,788,793,798,813,818,828,834,848,853,862,870,882,890,895,906,916,919,927,942,950,953,959,976,978,990,1001,1008,1013,1023,1031,1037,1046,1061,1069,1074,1086,1091,1100,1105,1113,1126,1137,1141,1152,1163,1169,1176	0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,14,17,32,37,45,56,68,76,79,87,100,109,114,123,133,139,148,160,163,174,316,324,332,342,352,354,365,373,384,387,398,412,414,423,434,443,452,603,611,626,628,635,649,653,665,675,685,688,699,708,715,727,729,744,753,756,771,777,787,789,804,809,822,830,839,847,855,857,868,874,886,896,903,909,924,929,941,945,951,966,973,977,989,997,1005,1015,1020,1034,1037,1046,1053,1067,1078,1085,1090,1103,1106,1116,1128,1131,1146,1147,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,27,39,46,53,62,68,79,90,98,105,116,124,128,140,146,160,166,171,317,318,333,337,349,358,362,377,380,391,395,411,419,422,430,443,453,607,613,624,628,636,650,659,661,669,682,694,699,706,714,727,732,745,751,755,768,779,784,792,800,813,816,827,836,843,851,858,873,874,885,898,901,908,918,929,935,946,952,964,972,984,988,1001,1010,1015,1022,1035,1040,1052,1056,1067,1077,1079,1090,1101,1110,1121,1129,1130,1146,1153,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,17,25,27,35,50,53,65,74,78,90,96,105,111,123,132,138,149,158,169,179,316,326,328,338,350,360,365,376,384,392,396,403,414,428,433,444,457,601,613,618,629,640,650,658,661,676,680,691,701,706,715,726,730,743,752,758,766,772,781,791,804,807,822,825,837,841,848,860,867,879,887,895,904,911,918,933,938,944,957,960,973,977,990,996,1005,1012,1026,1028,1042,1047,1055,1062,1073,1083,1091,1102,1105,1114,1130,1138,1141,1151,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,26,38,44,51,60,73,83,90,102,106,113,121,132,139,146,156,167,177,313,321,326,337,351,358,369,376,381,386,400,407,418,425,437,445,598,601,609,625,634,642,650,657,665,672,683,690,701,706,713,723,733,742,752,757,768,777,786,792,799,812,814,829,837,843,849,862,873,878,885,899,903,915,923,927,936,949,953,966,976,979,990,996,1003,1019,1021,1032,1041,1045,1059,1066,1079,1083,1091,1096,1106,1120,1122,1133,1142,1148,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,18,27,41,44,58,64,71,79,88,98,105,114,125,136,140,149,161,162,178,314,323,330,339,344,357,367,371,382,391,401,410,420,425,430,443,597,601,613,623,627,635,647,657,664,670,678,693,696,710,712,726,730,741,750,761,764,777,784,795,799,813,821,825,839,841,850,864,870,881,889,898,903,910,923,933,936,950,956,963,970,984,990,999,1005,1018,1022,1032,1043,1045,1055,1068,1070,1084,1091,1098,1110,1118,1128,1134,1145,1154,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,21,33,42,44,51,64,68,78,89,97,107,115,127,135,137,149,154,165,179,315,320,328,336,349,357,363,376,382,388,400,411,420,425,437,440,596,602,610,624,630,640,650,656,660,673,684,689,695,705,719,726,736,745,747,760,770,773,783,792,804,807,822,823,833,847,850,858,866,874,882,899,900,908,924,927,938,948,955,961,968,985,990,996,1002,1016,1020,1028,1042,1049,1061,1063,1078,1084,1094,1100,1111,1115,1122,1133,1141,1154,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,28,42,44,58,60,68,84,85,99,104,118,121,130,144,151,155,165,173,313,320,328,335,351,360,365,377,385,388,396,410,417,424,429,444,596,605,616,625,631,635,648,657,662,674,686,688,698,705,713,724,730,738,747,758,770,779,787,793,803,807,817,823,834,843,853,860,873,874,889,897,899,909,925,930,941,943,951,965,971,981,991,996,1004,1018,1020,1035,1036,1045,1059,1062,1078,1079,1093,1100,1105,1120,1127,1131,1143,1149,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,25,30,42,45,56,60,76,80,89,98,106,112,127,135,144,149,159,167,179,313,318,333,338,350,358,365,375,379,392,403,404,417,425,437,439,466,603,611,623,628,640,649,653,662,669,681,693,697,710,712,722,730,745,750,757,768,772,781,797,799,809,822,823,834,847,853,861,869,876,887,892,906,913,922,931,937,948,953,960,971,982,992,999,1004,1019,1020,1034,1039,1047,1056,1067,1078,1079,1093,1104,1109,1120,1123,1130,1147,1149,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,17,26,36,49,58,62,69,82,88,99,110,111,124,130,143,151,157,162,176,314,321,327,342,345,354,369,376,385,393,403,412,418,422,435,439,599,605,616,618,630,643,646,655,663,673,682,694,699,703,712,726,737,745,749,757,770,777,786,791,799,806,816,829,838,846,855,859,872,880,887,893,900,915,923,927,941,950,953,966,973,979,987,999,1002,1011,1019,1031,1041,1050,1056,1067,1071,1079,1091,1101,1107,1115,1128,1136,1142,1151,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,27,38,48,58,64,75,78,89,95,107,119,120,131,143,149,158,168,175,315,324,331,341,346,358,364,371,385,393,399,406,418,424,435,445,468,607,615,621,632,637,652,657,668,676,685,688,696,709,717,723,730,740,753,756,768,779,784,790,802,809,817,824,839,840,849,857,865,882,886,895,906,916,924,925,942,943,959,967,968,980,989,993,1009,1016,1027,1034,1038,1045,1059,1065,1076,1087,1093,1099,1106,1116,1128,1130,1140,1152,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,33,40,49,54,64,68,83,90,96,110,114,127,131,140,152,158,166,170,315,319,328,335,350,355,365,376,384,394,402,409,418,423,434,442,470,609,617,624,628,637,647,654,666,675,681,688,694,709,719,726,732,745,750,756,765,776,783,792,798,807,822,829,834,845,855,858,871,875,886,896,908,913,923,933,936,950,951,963,970,983,989,994,1006,1016,1025,1032,1038,1051,1057,1062,1070,1080,1092,1101,1107,1119,1129,1133,1144,1154,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,29,34,42,55,65,73,81,86,101,106,112,121,135,144,150,153,164,172,316,326,331,337,352,355,366,370,380,393,398,404,415,423,431,445,451,607,616,626,628,643,646,658,664,670,684,694,696,710,713,721,734,742,753,755,770,779,784,793,805,808,821,825,835,846,856,864,866,878,883,894,907,914,921,933,937,944,958,962,969,976,987,1001,1008,1015,1020,1029,1040,1047,1057,1064,1074,1082,1092,1101,1105,1120,1122,1135,1142,1150,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,27,38,50,53,63,72,77,90,97,103,112,120,133,141,147,156,167,175,182,322,327,338,344,352,367,376,381,394,400,406,417,423,431,441,449,605,616,623,633,638,645,653,663,677,683,691,702,705,714,722,732,743,751,757,765,773,787,788,805,813,816,830,839,843,850,864,874,875,885,894,904,911,921,931,935,946,959,965,973,980,990,995,1002,1013,1024,1031,1043,1050,1057,1069,1073,1085,1089,1104,1108,1117,1126,1132,1142,1151,1159,1168,1174	1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,23,28,38,45,57,65,71,79,91,98,103,116,126,130,138,148,158,163,172,181,321,335,341,352,358,364,373,379,393,400,409,412,429,431,445,452,609,611,625,627,636,647,657,668,672,677,687,702,704,713,727,731,740,752,761,771,779,785,791,801,805,821,829,836,845,852,860,866,882,891,898,906,908,917,933,939,947,955,967,968,983,991,999,1007,1011,1027,1031,1044,1045,1059,1066,1071,1087,1094,1103,1111,1116,1127,1130,1139,1152,1160,1169,1176	1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,25,27,39,48,52,61,71,83,93,98,108,118,123,133,140,150,159,165,171,187,318,327,340,344,358,366,375,384,387,396,406,413,425,434,439,449,602,611,619,632,642,646,657,668,672,683,686,701,706,716,723,730,744,747,755,763,776,787,793,797,813,822,829,838,841,857,864,867,879,890,899,907,911,922,927,942,946,953,966,973,982,990,998,1007,1017,1023,1031,1036,1053,1057,1062,1074,1080,1094,1102,1113,1115,1129,1135,1143,1155,1164,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,22,31,41,43,58,63,70,78,87,95,110,113,125,131,140,146,154,162,171,180,319,328,342,346,352,366,375,380,387,402,407,415,428,430,442,597,609,610,626,630,636,647,652,667,671,684,693,700,711,718,728,731,744,752,758,770,775,787,789,805,810,819,823,839,845,850,863,871,876,891,894,907,913,919,926,936,944,957,968,976,977,989,997,1010,1012,1024,1028,1043,1051,1054,1066,1078,1086,1091,1098,1107,1116,1129,1132,1147,1153,1160,1166	0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,25,31,36,48,53,60,72,80,92,96,109,117,124,130,139,151,158,165,172,181,325,331,337,345,354,368,376,383,386,400,408,416,423,435,441,598,605,614,618,634,643,648,654,661,675,680,690,697,705,712,723,729,741,747,757,766,777,787,797,804,809,815,830,832,840,851,861,870,878,885,891,902,909,919,926,942,949,956,960,972,982,993,996,1004,1016,1019,1032,1041,1053,1055,1064,1076,1082,1088,1099,1111,1120,1129,1134,1143,1152,1156,1171,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,9,24,32,39,48,54,62,72,76,93,94,104,116,121,136,141,148,162,165,174,194,326,333,340,344,354,368,373,379,387,399,404,420,428,434,439,447,606,610,620,630,637,647,652,663,676,684,686,701,709,716,723,735,743,753,759,766,779,783,792,802,813,815,825,835,840,856,859,869,881,890,891,904,909,921,925,935,944,953,964,975,983,993,1001,1009,1017,1020,1029,1040,1050,1057,1065,1075,1082,1095,1097,1112,1113,1128,1134,1145,1152,1161,1164,1175	1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,23,25,42,43,52,62,69,80,91,100,110,115,122,136,137,151,153,162,174,181,319,329,343,345,357,366,378,383,392,396,404,412,429,434,438,450,606,615,621,626,638,648,657,665,670,681,694,700,704,712,722,731,743,747,760,767,775,782,796,799,811,814,825,839,845,855,863,869,874,883,899,906,911,917,932,940,945,955,962,974,977,990,1000,1004,1014,1026,1030,1037,1048,1059,1062,1074,1082,1089,1099,1110,1115,1124,1137,1141,1152,1157,1171,1174	1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,24,25,40,47,51,65,70,83,87,94,110,114,125,135,137,153,154,167,178,187,319,327,336,351,360,363,376,382,387,399,404,416,428,432,443,599,605,609,621,635,640,648,656,664,673,685,688,700,707,712,727,732,738,753,760,770,778,787,788,802,813,817,823,835,841,851,858,867,875,888,895,903,911,921,930,940,949,955,962,973,978,988,996,1010,1017,1024,1031,1038,1045,1058,1062,1075,1081,1093,1096,1108,1121,1122,1130,1145,1151,1162,1172,1178	1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,9,21,29,38,45,56,61,72,77,86,95,109,113,124,135,137,147,161,162,171,315,319,327,341,348,357,366,370,385,392,401,404,415,426,436,437,598,606,612,621,634,636,648,659,668,672,685,689,700,707,714,722,734,742,747,755,765,776,780,795,799,809,817,823,839,843,853,861,866,880,889,892,905,912,919,929,941,946,958,964,973,984,989,1002,1004,1015,1023,1033,1043,1048,1056,1069,1074,1080,1093,1101,1107,1121,1123,1134,1145,1150,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,31,39,50,59,60,75,80,91,100,109,116,127,132,137,151,156,166,176,182,318,332,340,347,358,363,376,384,393,398,406,414,421,429,443,599,607,617,618,626,639,646,655,666,675,679,694,701,708,716,728,737,743,748,758,769,772,784,793,800,809,818,827,834,840,850,860,871,881,889,898,905,912,919,931,941,946,957,967,969,978,990,1002,1010,1014,1022,1032,1040,1047,1058,1066,1075,1087,1088,1103,1107,1121,1127,1130,1139,1152,1156,1167	1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
8,13,24,33,40,47,54,66,71,84,93,98,105,112,120,128,144,145,158,169,171,181,321,328,337,345,357,369,374,382,386,402,407,415,422,434,442,454,601,610,618,628,635,651,656,667,675,682,688,698,703,713,726,737,741,748,758,764,777,781,795,799,806,819,828,838,840,849,864,873,878,890,898,902,910,924,928,936,942,958,962,975,980,988,997,1005,1012,1025,1033,1038,1052,1060,1066,1076,1085,1087,1100,1106,1118,1123,1138,1143,1152,1156,1169,1177	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,19,31,41,44,59,65,75,79,88,97,109,119,126,134,139,147,156,167,172,179,322,330,340,349,359,367,373,379,387,397,411,418,421,432,444,597,607,617,622,629,638,651,654,666,675,683,690,697,705,720,722,729,738,749,757,767,778,786,792,805,811,815,830,836,846,855,857,867,875,890,893,902,914,924,928,942,948,953,967,973,977,987,999,1009,1013,1024,1034,1041,1047,1057,1068,1078,1084,1093,1101,1112,1118,1127,1134,1139,1151,1163,1169,1176	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,14,18,33,36,44,55,66,69,80,87,96,108,118,122,133,142,150,155,167,173,188,325,328,338,347,360,362,371,385,394,403,404,418,422,429,441,598,609,610,621,628,641,645,660,665,671,684,690,695,710,712,723,733,738,752,762,771,775,784,796,799,811,820,829,831,843,855,864,869,880,890,895,900,910,917,925,934,950,955,961,969,981,987,998,1010,1018,1021,1032,1038,1053,1059,1064,1073,1082,1088,1104,1105,1120,1125,1132,1143,1155,1157,1171,1174	0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
4,10,19,27,36,46,55,67,72,81,86,94,108,115,126,133,142,149,161,163,178,185,318,331,342,346,353,365,372,379,390,397,408,413,420,433,442,598,601,610,621,631,637,649,656,660,674,681,694,703,704,720,724,736,745,747,757,767,777,782,795,804,812,816,823,838,842,856,864,872,875,887,893,906,915,917,930,939,948,958,964,970,983,991,999,1004,1013,1025,1031,1043,1050,1061,1062,1072,1085,1091,1101,1110,1114,1130,1131,1141,1149,1163,1168,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,21,29,37,44,54,62,70,77,88,102,103,112,122,135,140,145,153,164,178,179,318,327,336,347,358,364,371,383,389,395,409,420,428,429,440,596,603,614,620,635,636,646,657,667,674,682,691,698,710,716,728,732,743,750,755,765,779,787,794,802,807,819,827,835,845,853,861,873,881,888,895,906,908,918,927,940,948,957,963,971,984,987,994,1003,1017,1026,1033,1043,1051,1054,1068,1071,1082,1091,1102,1106,1118,1126,1138,1145,1152,1157,1172,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,19,29,35,42,52,66,73,85,92,94,108,116,126,129,141,151,157,168,178,314,319,332,335,347,357,369,372,382,394,403,405,418,428,437,439,451,603,610,622,628,639,649,655,663,675,683,686,694,707,713,724,729,738,753,760,765,774,785,795,799,807,819,830,832,847,852,859,866,878,887,895,904,909,921,932,936,945,959,963,975,978,991,997,1009,1016,1023,1036,1043,1050,1055,1066,1076,1083,1095,1098,1105,1117,1122,1136,1142,1147,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,27,39,47,56,62,75,80,85,99,103,116,120,131,140,153,157,166,178,313,323,328,340,349,358,366,377,384,391,403,405,420,423,431,443,456,605,612,621,632,640,645,657,666,677,682,694,697,707,720,721,734,743,752,756,769,778,785,790,800,806,818,831,833,842,855,859,867,874,887,895,904,911,919,926,938,948,957,962,968,981,989,999,1009,1015,1021,1029,1040,1052,1060,1070,1073,1086,1093,1101,1112,1117,1124,1134,1145,1148,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,31,41,46,54,67,72,79,92,98,108,112,123,134,142,150,157,164,176,314,323,330,337,346,354,365,374,379,387,398,404,419,421,437,445,599,608,617,622,634,642,647,655,667,676,685,694,695,706,713,726,736,741,747,756,763,773,783,790,800,806,820,830,834,842,849,860,873,878,890,897,901,913,918,928,938,943,954,966,973,977,989,997,1005,1015,1027,1035,1043,1046,1058,1067,1079,1080,1094,1099,1105,1114,1125,1134,1146,1154,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,25,32,37,49,51,66,69,82,93,101,107,113,125,132,137,145,156,170,174,316,326,330,342,350,353,362,375,384,394,398,405,419,421,436,443,599,602,616,621,627,637,647,657,667,670,680,686,695,706,718,726,732,743,748,759,770,775,786,794,799,811,816,824,837,841,852,860,870,878,890,895,906,912,921,933,934,946,958,960,969,977,991,996,1004,1017,1022,1028,1037,1046,1054,1067,1071,1085,1090,1097,1111,1115,1125,1131,1142,1149,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,22,31,36,46,51,62,69,79,91,97,108,114,127,130,141,151,153,169,173,314,326,328,339,350,357,361,377,384,389,396,406,413,427,437,439,599,609,617,623,634,635,643,658,662,676,678,693,700,711,714,726,733,741,752,761,770,772,780,792,798,806,819,825,835,846,854,863,874,877,889,899,904,913,919,931,941,951,958,967,976,982,986,996,1009,1019,1023,1031,1037,1046,1061,1062,1075,1081,1090,1101,1106,1120,1129,1135,1147,1151,1156,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,24,26,35,46,56,67,75,85,87,94,106,117,126,134,144,146,154,167,177,317,325,332,336,345,354,368,375,384,393,397,404,418,423,435,444,471,600,610,622,632,640,647,660,664,677,683,694,695,708,713,723,730,744,753,759,771,772,785,791,797,808,821,827,832,841,850,860,869,882,890,895,906,916,921,932,939,946,953,963,972,980,989,997,1008,1018,1025,1030,1042,1048,1058,1069,1071,1082,1096,1103,1111,1115,1129,1132,1147,1152,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,25,41,43,52,63,70,84,88,99,108,113,123,135,141,151,158,163,176,317,322,327,335,352,356,364,372,385,391,401,405,417,421,430,443,459,608,612,626,627,641,649,656,666,677,684,691,698,711,720,725,730,741,752,760,764,780,781,795,798,810,819,831,839,841,854,864,871,876,888,898,907,911,921,933,941,950,957,961,976,982,989,995,1010,1013,1019,1035,1041,1049,1055,1062,1070,1081,1094,1099,1112,1119,1124,1137,1145,1151,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,28,34,45,53,66,68,78,87,97,107,111,125,134,136,151,159,165,178,314,321,333,338,347,353,365,372,379,395,397,408,420,424,434,439,600,601,617,624,633,638,643,659,668,669,685,692,695,711,714,722,735,740,751,757,769,775,782,793,802,809,821,829,832,847,851,857,871,880,890,893,904,909,918,933,935,944,954,967,974,983,985,996,1005,1016,1025,1028,1041,1046,1056,1064,1074,1086,1095,1100,1113,1116,1129,1131,1143,1151,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,32,35,50,54,61,71,84,89,101,106,116,123,135,140,146,156,167,177,179,318,331,341,344,352,364,370,383,393,396,405,417,429,430,439,598,606,615,619,628,640,649,658,668,675,678,687,701,711,718,725,730,739,747,755,771,776,785,795,799,806,822,826,832,840,852,857,868,879,887,892,906,916,921,932,934,944,957,964,975,979,989,996,1009,1013,1020,1032,1037,1052,1055,1069,1072,1086,1090,1102,1110,1119,1130,1137,1143,1150,1157,1169,1174	1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
4,8,17,34,41,49,56,66,75,78,85,96,109,119,121,131,140,146,160,166,179,317,319,328,340,343,354,367,369,378,386,400,403,420,426,430,439,452,607,614,620,627,642,651,652,669,670,682,693,698,708,719,723,734,737,753,757,768,774,783,794,797,808,817,823,831,847,853,858,866,875,885,898,902,911,920,930,937,943,957,965,975,980,986,994,1008,1012,1022,1034,1039,1049,1060,1062,1076,1082,1089,1097,1106,1117,1128,1134,1139,1154,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,29,39,43,54,61,70,77,91,99,107,117,126,135,142,147,159,168,172,317,323,334,341,344,354,367,374,381,388,398,409,420,422,430,442,457,601,616,624,634,641,648,656,663,675,679,689,701,706,719,727,736,739,753,762,769,777,785,797,801,813,816,830,835,847,849,858,873,876,890,895,902,911,921,925,939,944,953,963,973,980,987,994,1002,1019,1023,1036,1044,1050,1061,1068,1073,1084,1095,1099,1105,1121,1128,1137,1143,1152,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,32,40,48,53,65,70,81,86,101,107,114,122,132,142,149,156,166,176,314,323,333,342,346,355,369,374,386,392,399,411,419,421,437,446,448,605,613,621,628,642,650,657,661,671,679,691,701,704,718,723,732,739,748,757,766,772,784,791,805,807,814,826,831,841,853,863,867,878,889,892,903,914,918,928,936,946,953,959,970,979,993,995,1007,1017,1025,1029,1044,1052,1057,1064,1071,1081,1093,1103,1105,1119,1123,1135,1141,1155,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,29,41,43,55,64,71,83,88,98,110,112,124,135,141,151,154,164,176,313,320,328,338,347,353,367,373,380,391,398,410,417,428,434,443,600,605,615,620,629,635,651,653,663,676,680,688,701,708,711,720,732,745,746,759,764,775,788,791,801,807,815,831,837,848,854,863,870,875,889,893,902,912,917,931,934,948,954,966,971,981,986,1001,1005,1016,1026,1034,1036,1050,1054,1067,1074,1080,1088,1098,1106,1119,1123,1136,1140,1150,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,21,33,40,45,56,67,73,84,88,100,108,117,127,132,142,145,156,162,176,189,318,330,340,351,354,367,370,383,393,396,408,412,423,437,443,468,602,609,623,632,638,645,657,668,674,684,688,696,710,718,726,735,744,749,759,771,776,784,796,797,811,818,829,834,847,849,863,868,878,888,895,900,915,924,932,942,949,957,961,971,983,988,999,1006,1011,1024,1035,1039,1050,1058,1065,1076,1085,1092,1098,1112,1116,1124,1133,1143,1152,1162,1165,1174	0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,9,25,27,37,48,55,63,74,79,86,100,106,118,125,134,144,148,155,166,173,315,319,328,335,349,360,365,372,379,393,396,407,413,426,435,439,600,608,615,618,633,635,647,657,664,670,683,689,696,710,718,721,736,746,751,758,765,776,780,797,803,812,816,829,838,843,850,861,865,879,888,892,901,910,919,933,937,950,952,966,969,981,989,994,1010,1016,1023,1031,1039,1045,1057,1062,1076,1083,1087,1098,1105,1116,1127,1130,1147,1155,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,21,31,36,48,53,63,76,78,90,102,108,117,119,128,141,152,159,169,171,317,319,329,339,346,358,361,372,385,392,397,408,418,421,432,442,454,601,614,625,628,640,647,657,664,672,684,689,701,703,712,721,729,740,752,756,767,772,784,792,799,812,819,830,835,843,852,862,873,874,886,893,902,911,919,928,940,949,958,966,972,981,987,998,1003,1012,1020,1035,1039,1045,1053,1064,1078,1087,1090,1103,1113,1117,1126,1136,1147,1151,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,32,38,47,57,64,69,77,87,94,106,118,123,128,139,148,161,163,178,316,326,332,341,350,358,366,371,381,390,401,408,419,429,431,444,598,607,609,618,627,639,648,653,661,670,678,687,700,707,714,723,736,743,748,754,764,779,782,789,804,809,819,829,835,848,854,858,873,881,887,895,904,909,923,932,934,944,954,967,973,981,989,994,1010,1018,1023,1033,1037,1047,1055,1065,1076,1085,1094,1099,1105,1113,1122,1134,1145,1155,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,24,32,41,50,54,61,75,77,86,101,110,116,121,135,144,145,161,166,176,317,321,327,335,346,352,367,374,378,392,402,404,419,420,433,441,599,608,614,625,633,638,650,659,661,669,686,692,702,704,717,724,729,740,748,760,765,774,783,791,805,806,820,826,836,845,851,861,867,880,884,899,905,914,922,931,942,947,952,967,969,981,987,994,1003,1012,1022,1028,1039,1047,1054,1070,1077,1080,1092,1104,1109,1114,1129,1137,1147,1152,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,33,40,46,54,66,71,83,85,96,110,116,127,131,138,148,157,167,173,315,321,331,343,344,355,361,372,379,389,400,405,419,421,437,439,599,607,609,624,634,642,644,660,661,674,681,691,697,709,717,726,737,738,752,761,770,773,783,790,799,813,818,828,837,848,850,857,866,879,888,894,901,910,925,926,940,948,956,962,973,979,989,997,1002,1014,1025,1028,1042,1052,1056,1068,1078,1079,1088,1103,1105,1116,1123,1137,1140,1147,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,33,42,47,55,62,73,78,88,100,103,117,123,129,140,149,159,165,173,314,325,334,343,351,359,364,377,382,389,396,409,419,427,433,440,461,604,609,622,634,637,652,658,663,669,681,690,695,705,718,725,730,738,750,757,768,771,788,794,805,806,821,827,836,845,853,860,867,878,887,898,900,916,923,929,937,950,952,961,970,985,987,995,1006,1014,1022,1036,1043,1051,1061,1067,1078,1080,1091,1098,1106,1117,1127,1133,1146,1154,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,29,42,50,55,63,70,84,92,93,105,116,126,128,137,147,156,162,176,314,324,334,343,346,352,363,377,385,390,396,403,414,428,432,445,447,606,611,624,626,637,650,652,661,677,678,686,696,706,713,726,733,744,753,756,766,772,783,795,799,812,817,825,832,843,848,861,871,875,888,897,907,915,918,927,939,948,955,962,968,979,992,999,1005,1013,1027,1035,1044,1052,1055,1065,1078,1087,1091,1099,1106,1114,1126,1131,1139,1148,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,26,34,47,53,64,76,84,85,99,107,112,124,133,144,150,161,165,172,315,318,334,337,346,357,368,376,380,392,395,406,417,425,429,439,458,605,615,622,633,640,643,657,662,675,684,688,698,706,716,724,734,737,746,759,771,779,781,794,799,808,819,830,839,848,853,860,872,881,883,891,901,914,918,929,935,950,958,963,975,982,985,994,1009,1011,1023,1034,1043,1049,1061,1063,1078,1083,1091,1102,1106,1114,1130,1137,1139,1149,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,31,39,50,51,67,76,82,93,97,110,114,124,133,139,147,161,167,171,313,325,333,337,349,359,362,371,382,387,403,404,416,421,435,445,600,609,615,625,632,642,651,656,666,676,683,689,696,704,712,728,730,738,752,759,771,774,786,788,799,814,819,824,833,844,856,857,866,882,887,891,906,912,921,929,939,943,955,964,975,982,988,999,1003,1013,1023,1030,1042,1045,1057,1069,1072,1082,1092,1103,1110,1120,1126,1134,1143,1148,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,18,28,36,43,53,64,70,82,89,99,109,116,122,134,137,145,155,167,173,314,321,332,338,347,354,368,377,382,393,400,409,417,423,436,442,468,609,616,618,631,635,651,659,665,671,683,693,701,710,720,723,731,745,750,758,770,778,785,792,802,807,816,829,833,840,853,864,871,878,887,892,900,915,919,927,938,942,957,963,970,984,986,998,1006,1017,1021,1033,1039,1050,1055,1062,1072,1085,1094,1098,1109,1120,1124,1132,1140,1154,1164,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,21,26,38,46,55,61,74,84,88,97,109,114,127,131,141,148,159,165,172,316,321,335,338,346,354,364,371,380,392,396,406,418,428,429,445,596,604,611,619,635,640,647,660,667,677,682,687,700,710,714,725,729,744,752,756,771,778,782,792,797,808,817,827,832,846,853,862,871,882,887,895,903,912,924,931,939,943,953,967,968,983,986,998,1009,1017,1019,1033,1039,1053,1054,1063,1077,1085,1095,1096,1106,1119,1126,1134,1143,1153,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,30,36,46,58,66,73,80,86,96,108,113,121,130,137,149,158,162,174,313,324,334,339,344,357,365,374,381,393,400,404,412,424,430,439,596,606,609,624,629,643,644,658,662,672,679,687,701,706,716,723,733,737,753,756,764,777,783,794,799,814,816,823,835,841,854,857,868,878,890,898,907,912,918,929,934,948,954,961,969,979,988,1001,1006,1012,1025,1032,1044,1046,1055,1063,1078,1081,1092,1103,1106,1119,1128,1135,1146,1147,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,17,32,41,48,58,64,68,79,86,95,108,114,121,132,136,146,161,167,171,186,320,328,338,351,357,366,377,384,392,399,406,412,421,430,441,599,609,615,621,632,639,644,655,666,673,684,691,699,707,720,725,734,739,750,755,767,775,783,795,797,809,815,824,832,841,849,861,874,878,884,891,904,908,921,926,940,950,956,963,971,980,988,994,1008,1018,1026,1030,1042,1053,1056,1063,1073,1082,1094,1098,1105,1116,1125,1132,1140,1155,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,16,24,33,38,42,57,67,73,82,85,95,107,113,120,130,142,149,159,162,176,316,320,331,337,348,359,363,374,378,395,403,408,420,422,431,442,451,603,612,619,632,643,648,655,664,676,678,689,696,706,716,726,733,739,747,757,771,772,781,796,803,814,822,823,831,846,852,862,871,878,888,898,904,913,917,932,935,946,951,962,972,979,991,997,1006,1019,1026,1032,1042,1046,1054,1064,1078,1087,1088,1104,1111,1117,1127,1137,1140,1151,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,22,29,36,48,52,65,76,80,93,101,105,113,119,135,140,152,159,165,176,183,324,329,341,347,360,364,370,383,389,396,407,412,425,430,442,598,605,616,620,629,642,645,658,666,677,684,687,702,706,712,726,731,739,751,755,769,777,781,793,805,808,822,829,839,842,852,859,872,879,884,893,903,909,921,931,937,949,952,967,973,979,986,1002,1010,1016,1020,1031,1038,1050,1057,1064,1075,1086,1089,1097,1106,1121,1129,1135,1141,1149,1160,1171,1176	1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,24,30,38,49,56,63,71,80,86,98,102,115,123,129,137,152,155,162,176,187,318,331,338,349,354,366,377,386,393,398,405,416,421,430,439,599,605,609,620,634,637,650,660,663,673,681,689,698,707,720,721,729,737,746,757,768,774,780,792,799,808,821,830,838,845,856,857,869,881,888,895,907,915,916,930,937,944,952,960,971,983,988,994,1003,1015,1025,1029,1037,1051,1056,1063,1074,1081,1089,1099,1106,1120,1125,1134,1145,1148,1159,1166,1175	1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,18,32,38,48,54,68,70,77,90,100,103,114,124,131,139,147,155,166,176,183,320,335,338,349,355,365,371,382,394,396,406,415,428,436,438,598,604,615,624,631,642,648,660,666,674,684,688,698,711,719,726,737,741,747,762,771,778,783,791,801,811,817,825,834,847,853,858,865,875,888,892,905,916,917,932,941,948,953,967,969,978,985,1001,1006,1016,1025,1034,1041,1045,1054,1064,1076,1080,1091,1101,1110,1119,1122,1133,1146,1152,1163,1169	1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,22,26,36,42,54,67,68,80,89,101,102,114,121,132,139,148,155,168,178,181,323,328,340,343,355,363,377,379,388,399,408,417,426,437,440,598,608,617,621,630,642,644,653,667,674,680,689,698,711,714,723,735,742,752,759,765,775,788,790,805,814,821,823,836,840,852,864,865,876,883,892,907,913,917,926,938,950,953,963,975,977,987,993,1008,1012,1027,1028,1039,1051,1060,1065,1078,1084,1090,1100,1113,1116,1122,1137,1143,1149,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,23,27,39,50,51,66,73,78,87,96,105,119,120,128,137,147,161,167,178,186,325,333,339,349,353,364,377,384,394,399,405,415,424,430,437,598,605,616,625,628,638,645,660,667,675,679,688,696,710,711,723,735,738,750,757,769,779,786,789,801,807,819,823,834,840,849,861,868,875,890,895,904,909,923,933,935,945,952,961,970,979,993,994,1010,1013,1021,1035,1039,1049,1054,1065,1073,1084,1091,1104,1111,1116,1123,1137,1141,1153,1163,1172,1174	1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,22,26,39,46,59,63,71,79,89,98,102,113,120,129,138,153,162,164,177,187,318,327,339,347,356,365,375,383,389,401,403,417,422,435,441,597,607,611,621,634,637,651,656,663,669,681,687,698,711,718,723,731,741,752,756,771,773,782,790,798,805,817,830,838,845,849,857,868,882,884,898,903,915,922,926,937,946,957,966,975,981,990,999,1007,1011,1025,1035,1044,1052,1053,1068,1073,1087,1089,1098,1112,1119,1123,1137,1146,1151,1161,1166,1176	0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,13,18,29,37,50,58,67,71,81,93,101,104,117,122,130,144,150,154,164,170,317,318,330,343,351,353,369,370,381,388,397,409,419,425,437,444,600,605,617,619,632,639,647,655,664,669,679,691,695,707,717,724,734,742,747,760,771,774,787,794,799,812,816,828,837,842,850,863,865,882,883,899,904,908,925,933,936,945,954,961,968,977,985,995,1008,1011,1022,1033,1039,1048,1058,1069,1074,1081,1095,1100,1105,1115,1129,1138,1142,1150,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,21,32,39,51,54,61,74,77,88,95,109,119,121,128,143,151,155,169,175,185,324,332,339,351,357,361,369,383,395,398,412,414,427,431,443,460,605,612,623,632,640,649,658,664,672,685,688,697,708,712,728,729,741,746,755,763,774,787,788,804,812,816,825,834,847,851,863,869,876,889,895,903,915,918,933,939,948,952,966,968,981,991,999,1004,1019,1022,1030,1037,1052,1062,1064,1078,1082,1094,1096,1111,1120,1122,1136,1146,1152,1157,1168	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,20,32,36,49,52,62,74,84,90,95,109,119,121,128,139,147,156,167,170,192,322,333,342,349,352,368,377,379,392,398,404,417,423,437,447,457,602,615,620,632,637,645,657,667,670,685,693,696,706,719,728,737,741,749,760,771,773,784,797,800,806,819,825,839,846,856,859,867,876,883,899,905,912,925,926,941,948,955,964,975,981,985,997,1003,1018,1027,1031,1044,1048,1060,1068,1074,1079,1093,1096,1112,1120,1125,1137,1138,1155,1163,1170,1176	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,25,29,36,49,59,64,70,78,89,96,106,114,121,128,141,149,156,164,174,192,322,333,338,351,359,363,372,383,389,395,407,413,422,436,442,468,607,617,623,634,636,647,653,669,672,681,687,697,706,713,722,736,741,753,761,766,779,786,790,801,813,816,823,835,844,851,861,867,876,886,894,903,916,922,928,935,948,952,964,975,980,989,995,1008,1016,1027,1029,1041,1048,1060,1067,1072,1082,1089,1103,1108,1116,1126,1134,1139,1150,1163,1172,1173	1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,23,29,37,45,54,60,74,81,91,95,108,112,122,136,143,151,157,165,175,182,324,330,338,346,360,369,370,384,391,400,410,418,426,430,445,596,607,615,625,632,637,649,658,663,670,684,692,697,710,716,724,736,745,753,759,767,778,787,795,801,809,815,831,837,840,852,865,866,882,888,899,902,910,917,932,935,948,954,966,974,978,988,1001,1010,1017,1023,1029,1042,1046,1056,1062,1072,1082,1090,1098,1111,1119,1122,1133,1146,1151,1162,1169,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,21,26,41,51,58,64,72,78,87,96,108,117,125,133,141,153,157,168,171,192,320,330,335,346,360,367,369,382,391,401,411,416,425,431,440,598,601,613,622,630,640,651,657,668,670,680,689,696,704,714,723,733,741,749,756,769,775,784,793,804,808,818,831,832,845,848,859,866,882,891,895,900,909,922,926,942,950,953,961,974,981,988,1000,1010,1014,1023,1035,1039,1048,1055,1069,1073,1079,1091,1099,1109,1119,1130,1135,1146,1153,1161,1172	0,1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,18,30,37,49,56,65,69,77,91,98,110,111,124,131,142,148,158,162,172,187,326,327,337,347,353,363,375,380,387,400,409,417,426,429,438,596,601,617,618,632,642,651,655,665,672,683,692,696,708,718,723,733,743,749,761,765,776,784,790,800,810,816,828,837,846,856,863,868,882,890,893,903,911,924,933,937,949,951,961,970,980,992,994,1009,1012,1025,1034,1043,1050,1061,1064,1072,1081,1094,1103,1106,1118,1122,1133,1139,1147,1162,1169,1177	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,23,30,36,50,57,68,72,81,91,95,105,114,126,130,141,150,156,165,174,314,319,334,342,347,356,368,378,386,394,403,405,412,428,434,445,600,606,612,622,633,641,650,659,665,673,678,686,701,705,715,723,737,743,753,754,768,775,786,790,804,807,816,827,835,846,856,861,867,878,884,892,901,912,917,933,940,947,957,966,976,980,986,995,1004,1016,1025,1032,1041,1049,1055,1063,1076,1083,1093,1104,1105,1113,1127,1133,1141,1148,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,28,38,43,54,62,70,77,86,95,107,111,120,132,139,145,154,167,175,317,325,332,336,351,354,367,375,382,389,403,407,417,429,432,439,596,603,612,618,629,641,647,658,662,669,678,694,701,711,715,724,734,742,754,757,764,777,788,790,797,812,815,825,836,846,851,858,873,878,890,895,907,913,922,932,934,945,952,965,973,984,985,998,1007,1012,1026,1034,1042,1048,1057,1065,1077,1080,1089,1103,1108,1115,1121,1131,1145,1154,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,28,35,44,54,60,74,83,92,98,104,115,122,128,141,150,156,163,172,318,324,335,341,348,355,365,372,383,390,397,409,414,428,436,443,461,609,612,624,633,638,649,657,665,671,680,693,699,705,715,720,735,742,748,757,767,776,788,796,803,807,822,826,837,840,852,863,866,879,889,894,904,910,922,929,938,945,951,959,968,977,988,999,1005,1011,1023,1029,1038,1048,1057,1070,1076,1083,1092,1099,1112,1120,1129,1130,1142,1148,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,32,41,50,52,65,71,83,88,102,106,119,125,130,139,152,159,162,176,314,320,333,337,348,357,361,375,386,389,403,410,416,424,437,446,465,602,617,621,630,643,651,652,666,673,681,690,699,708,720,726,729,745,748,756,768,773,784,791,799,806,815,824,837,845,853,859,873,874,884,894,900,915,922,930,942,948,956,965,976,977,991,997,1005,1017,1022,1033,1045,1046,1055,1064,1072,1081,1093,1100,1107,1119,1123,1136,1142,1151,1160,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,26,40,47,58,65,68,78,86,100,109,113,123,132,138,145,160,170,175,315,319,326,339,346,353,369,370,384,393,399,404,417,421,429,438,599,601,617,626,631,639,649,657,663,670,685,691,702,707,714,727,736,740,751,758,766,772,783,793,803,807,815,827,837,847,853,862,873,874,887,897,903,908,923,930,941,942,953,964,976,979,987,994,1006,1017,1023,1034,1037,1045,1056,1063,1074,1083,1089,1101,1104,1114,1128,1136,1145,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,28,37,49,51,60,69,85,91,94,103,117,122,132,138,150,158,165,178,315,324,334,340,347,359,369,373,382,391,396,412,419,424,431,444,448,607,610,619,630,640,649,659,660,673,684,693,697,705,720,723,734,740,746,761,764,777,786,789,797,811,820,825,836,847,855,858,865,875,882,891,901,909,917,926,940,945,957,968,971,980,986,1000,1005,1012,1020,1035,1041,1049,1054,1063,1078,1083,1093,1103,1113,1120,1124,1130,1142,1149,1164,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,28,39,42,57,66,71,79,90,95,110,115,124,129,144,150,160,164,173,316,320,327,342,350,352,368,375,384,387,398,408,420,424,431,442,600,608,610,625,627,642,649,656,665,675,684,693,698,711,715,723,733,739,748,759,767,773,780,793,804,813,819,827,836,841,857,859,870,877,887,897,904,913,920,932,941,944,954,965,972,985,992,995,1006,1018,1025,1035,1040,1045,1058,1066,1072,1084,1094,1096,1111,1113,1128,1131,1141,1148,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,30,35,43,56,64,68,84,93,94,103,115,124,131,138,152,157,166,173,316,325,327,339,350,360,368,369,381,387,403,408,413,422,437,445,466,607,617,620,631,635,649,659,666,675,681,692,698,708,718,728,730,739,753,760,771,779,780,791,803,813,820,831,834,843,852,864,866,881,883,899,904,911,918,930,934,946,951,960,976,981,990,1002,1009,1013,1023,1028,1037,1053,1058,1066,1079,1083,1094,1101,1112,1115,1128,1132,1140,1149,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,21,29,38,43,55,61,68,83,89,100,104,118,127,136,140,150,160,167,170,184,320,332,341,349,356,367,371,386,391,396,406,417,426,436,443,599,604,612,623,628,640,649,654,662,677,684,687,700,703,715,723,734,740,750,757,771,775,787,791,798,813,819,830,834,842,855,857,867,881,889,892,905,908,921,929,934,947,952,960,970,984,991,994,1010,1011,1025,1035,1041,1045,1060,1069,1070,1081,1089,1103,1111,1118,1122,1135,1144,1151,1162,1170,1178	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,19,32,39,45,57,66,68,80,93,94,109,117,123,133,140,147,156,168,173,317,320,333,342,349,354,366,372,378,389,400,407,420,428,436,444,598,608,614,622,629,640,652,657,662,671,680,692,695,708,715,721,736,746,753,759,768,778,784,790,802,812,820,829,839,842,855,860,871,879,888,892,905,913,917,926,935,950,954,963,975,977,991,997,1003,1012,1019,1031,1039,1048,1059,1062,1070,1081,1092,1096,1106,1118,1122,1131,1146,1151,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,24,27,38,48,52,65,72,80,92,100,107,117,123,135,139,146,156,163,179,313,321,326,337,348,358,366,374,383,392,397,407,416,426,434,437,598,605,610,626,628,635,650,654,663,669,683,686,695,708,713,724,734,740,749,756,767,775,783,795,803,812,818,823,836,840,848,862,867,882,886,896,905,910,921,928,938,947,955,961,975,979,987,995,1007,1013,1024,1034,1040,1052,1057,1065,1078,1087,1092,1098,1105,1116,1128,1135,1143,1152,1162,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,29,37,47,59,64,71,84,89,94,102,117,120,132,137,149,158,165,178,315,319,334,338,349,358,367,370,381,386,403,406,418,425,435,438,597,607,616,620,632,639,648,654,664,669,680,690,701,708,718,721,736,743,749,763,770,777,786,789,804,813,822,829,832,844,853,864,867,876,887,898,900,911,920,926,942,944,958,960,972,977,991,999,1003,1013,1019,1035,1042,1052,1061,1063,1072,1084,1094,1104,1106,1121,1127,1130,1143,1152,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,26,39,42,52,62,70,82,88,95,103,115,119,128,142,146,159,164,178,315,323,331,342,344,358,367,375,379,393,396,409,418,425,433,439,596,608,613,621,634,641,645,655,665,669,685,687,702,710,713,725,732,740,746,760,763,776,781,793,805,811,818,828,838,844,852,865,869,874,888,899,904,914,923,929,937,944,956,965,974,978,986,996,1004,1016,1022,1031,1043,1049,1059,1066,1077,1086,1096,1102,1110,1114,1128,1131,1145,1149,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,23,33,39,48,53,65,75,82,87,95,106,119,121,135,140,150,161,165,172,179,324,333,342,350,360,364,370,382,390,396,411,415,420,432,440,598,601,614,623,629,640,647,657,667,677,678,689,701,705,712,722,732,742,750,754,763,773,782,789,801,812,815,824,833,846,851,858,867,878,890,896,901,910,918,927,940,948,956,967,973,982,986,999,1006,1016,1024,1033,1036,1050,1059,1067,1071,1082,1091,1102,1109,1114,1123,1132,1141,1150,1158,1164,1173	1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,10,18,33,38,49,56,65,69,78,88,96,103,114,127,130,137,146,155,163,177,317,324,330,341,351,352,363,375,386,390,401,409,418,421,432,438,599,603,611,624,629,640,651,655,664,672,681,692,697,704,717,728,736,740,749,762,766,779,780,796,801,810,819,828,839,847,850,864,870,879,885,896,903,913,924,933,938,947,953,960,975,980,992,999,1003,1015,1026,1030,1040,1049,1055,1068,1074,1081,1092,1097,1105,1113,1124,1135,1140,1153,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,27,42,51,52,61,75,80,91,99,106,113,127,134,141,145,156,164,174,313,326,328,339,345,357,362,373,380,388,395,407,417,425,433,441,600,605,615,619,631,635,646,656,663,671,680,694,697,704,718,724,736,745,754,761,770,777,788,795,799,814,820,825,836,848,850,862,872,879,890,899,902,912,917,926,934,948,953,963,968,985,991,997,1008,1014,1024,1029,1038,1047,1054,1064,1074,1080,1092,1096,1105,1117,1127,1137,1143,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,19,33,37,42,55,60,74,83,91,101,105,117,123,132,141,149,156,165,179,314,322,330,343,346,355,368,375,384,391,401,411,417,424,432,445,600,605,615,618,627,642,651,653,666,670,683,688,701,705,714,724,736,740,753,760,770,774,785,794,802,807,821,828,832,840,848,864,868,877,886,899,903,909,917,929,939,946,956,963,971,982,992,995,1009,1013,1020,1035,1040,1047,1056,1064,1072,1083,1087,1098,1112,1114,1125,1132,1147,1153,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,30,41,48,52,64,70,80,91,96,107,115,125,129,137,147,161,164,173,315,326,331,337,346,352,363,377,379,391,403,411,419,423,436,438,598,602,614,619,633,636,650,656,667,672,685,690,700,710,718,724,731,741,749,758,763,772,783,794,804,806,819,825,839,844,851,862,868,880,889,894,905,913,924,926,935,949,952,960,968,979,987,1002,1007,1017,1023,1034,1041,1046,1055,1066,1070,1085,1093,1100,1107,1117,1125,1135,1145,1151,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,19,29,35,45,54,62,69,82,86,100,104,112,122,132,139,150,162,167,178,314,325,330,336,350,357,364,374,383,387,396,407,413,427,429,442,448,601,614,624,632,638,650,655,665,669,682,691,696,707,713,720,734,743,752,759,766,779,783,790,798,809,817,825,835,845,853,862,869,878,888,893,900,914,919,931,938,943,959,962,976,981,986,996,1002,1015,1022,1034,1036,1046,1056,1070,1072,1082,1091,1104,1110,1119,1127,1131,1143,1154,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,31,36,46,51,62,73,77,93,100,104,113,122,131,143,151,156,165,177,315,324,329,338,351,356,366,373,381,393,396,408,413,424,436,445,457,607,611,622,633,640,651,655,667,676,678,688,695,708,716,724,736,745,748,760,764,774,784,789,803,811,815,828,832,842,855,863,869,878,883,895,905,915,924,927,940,943,952,965,974,981,992,997,1007,1015,1023,1035,1042,1046,1056,1065,1071,1084,1087,1097,1107,1119,1124,1130,1139,1150,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,27,34,44,51,60,71,77,89,98,104,114,121,130,139,145,157,162,175,317,322,329,341,350,360,368,370,382,387,398,403,412,424,432,444,463,605,617,620,626,637,649,653,668,677,685,689,696,709,715,728,731,745,751,762,770,777,784,794,798,811,815,828,832,844,850,861,870,878,888,892,903,914,923,931,941,947,954,961,968,982,987,1000,1005,1013,1020,1035,1037,1045,1057,1069,1075,1083,1089,1104,1112,1118,1123,1130,1139,1150,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,26,41,43,52,67,75,81,87,99,103,117,126,131,142,150,154,170,173,315,321,333,340,346,357,367,371,383,391,397,411,420,422,434,441,597,608,609,618,631,643,649,652,668,670,683,687,695,705,714,728,735,738,750,759,769,772,781,789,803,814,815,825,839,841,853,864,874,878,884,892,908,910,921,930,942,944,957,960,970,977,993,1001,1007,1014,1022,1030,1042,1052,1056,1069,1070,1085,1092,1100,1112,1119,1124,1137,1142,1151,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,22,28,38,45,56,63,74,81,88,98,109,115,121,135,141,149,160,164,178,316,325,333,343,349,358,361,373,382,388,395,411,419,424,436,438,448,609,611,619,630,636,644,654,662,673,685,689,700,709,717,724,729,742,747,756,766,772,785,794,797,808,814,826,834,848,855,861,865,882,890,896,907,914,919,932,936,947,959,964,969,979,993,998,1003,1019,1023,1032,1036,1049,1060,1063,1074,1086,1095,1099,1109,1116,1125,1134,1144,1147,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,19,27,40,46,54,60,74,84,86,94,108,118,123,131,144,153,159,167,171,317,318,333,339,346,358,367,377,380,388,397,404,414,428,433,439,600,603,613,625,630,636,651,656,666,670,681,688,697,708,712,721,734,741,746,762,765,772,787,792,804,808,821,830,839,840,855,861,872,881,886,895,900,913,922,932,934,945,958,963,970,978,986,1001,1005,1015,1024,1030,1038,1051,1058,1065,1072,1081,1091,1097,1109,1119,1122,1132,1147,1151,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,28,41,49,56,61,70,79,92,98,108,116,126,130,143,148,155,165,178,318,322,329,341,344,354,365,369,385,386,396,409,420,421,432,442,598,605,612,623,631,638,649,659,668,673,682,691,700,707,720,728,735,742,753,758,764,772,784,793,799,806,822,830,834,840,852,857,873,875,883,899,907,909,917,933,934,943,955,966,974,984,989,995,1004,1010,1023,1031,1042,1049,1059,1063,1074,1082,1088,1104,1108,1116,1125,1132,1140,1148,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,30,34,45,58,67,70,80,89,99,109,114,127,133,138,153,156,167,174,315,318,328,339,350,359,362,372,383,394,399,411,417,423,432,444,597,604,615,624,628,639,645,658,663,677,684,694,701,710,717,721,735,741,750,761,764,777,781,790,799,813,817,829,832,841,855,864,866,875,887,894,902,910,920,931,937,945,955,962,976,982,992,1001,1004,1011,1026,1032,1036,1050,1057,1066,1078,1086,1094,1097,1112,1121,1129,1137,1140,1153,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,20,25,38,46,57,64,72,81,89,96,110,113,119,134,143,152,160,167,174,296,320,330,337,344,354,361,370,386,387,396,407,413,422,437,442,599,601,616,624,631,637,646,654,669,672,681,686,695,706,717,721,737,741,748,761,764,772,788,792,802,808,816,827,837,842,849,861,867,876,889,891,900,912,921,926,939,945,955,963,972,984,989,994,1009,1018,1027,1036,1037,1049,1058,1069,1078,1084,1091,1100,1112,1113,1126,1137,1139,1148,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,20,31,39,45,54,67,69,83,92,102,105,119,124,132,141,147,156,165,177,185,320,334,343,345,357,367,370,380,393,402,405,413,427,433,443,463,601,609,623,632,641,646,659,661,674,680,693,699,704,712,722,737,739,749,759,765,773,782,794,805,811,820,828,834,842,856,860,872,879,890,898,907,909,921,931,937,947,954,960,972,984,989,997,1004,1016,1025,1034,1038,1045,1057,1063,1075,1080,1091,1097,1112,1114,1129,1131,1142,1154,1156,1168	1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,18,32,34,49,59,60,74,81,89,99,102,116,127,132,139,153,160,166,175,191,323,330,339,349,358,361,372,383,394,401,411,417,426,431,443,599,601,615,618,634,635,644,655,667,676,683,691,703,705,713,720,735,741,750,755,770,775,781,795,803,812,820,826,832,841,857,864,868,882,886,891,903,911,920,932,942,947,951,965,975,983,986,1000,1002,1017,1020,1035,1043,1048,1055,1063,1072,1083,1092,1098,1111,1118,1124,1137,1141,1155,1163,1167,1176	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,19,27,38,50,51,62,70,80,92,95,103,115,120,128,138,151,161,168,178,185,324,330,336,348,358,366,374,385,387,402,407,413,424,433,445,455,601,614,622,633,640,651,658,668,671,679,692,697,708,719,726,731,744,750,759,766,774,783,790,798,810,817,824,839,842,849,858,865,880,885,894,905,911,921,925,941,949,959,960,974,984,985,997,1003,1012,1027,1035,1042,1046,1056,1065,1073,1085,1094,1098,1110,1120,1125,1130,1147,1151,1159,1167	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,20,28,37,46,51,65,72,79,85,100,103,113,125,128,143,145,156,163,176,182,321,334,338,351,355,367,371,380,387,397,405,415,429,432,441,456,605,615,626,628,640,646,656,665,672,677,691,697,705,716,724,732,745,748,754,766,772,782,790,799,810,815,828,837,844,854,858,871,878,888,899,901,913,919,932,935,948,959,963,971,981,990,994,1009,1011,1020,1030,1041,1049,1057,1064,1076,1082,1096,1099,1106,1120,1123,1132,1142,1149,1159,1167,1176	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
3,16,21,28,36,49,54,68,72,84,89,101,106,115,123,133,142,153,154,165,173,181,325,331,336,350,357,364,373,382,394,398,406,414,427,432,439,596,603,615,626,634,635,651,654,666,670,681,689,697,705,720,727,732,741,751,759,767,774,787,789,805,810,822,826,837,842,848,863,868,876,886,894,905,911,918,927,936,948,957,962,970,980,992,998,1008,1018,1026,1033,1038,1048,1060,1067,1072,1082,1091,1101,1108,1121,1126,1136,1138,1153,1157,1165,1177	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,19,29,37,48,57,61,76,82,93,101,109,118,125,128,139,152,155,167,177,185,324,329,340,350,358,364,370,380,387,397,406,412,423,431,443,457,602,611,618,630,643,645,655,667,676,685,688,703,705,712,723,735,740,747,761,771,778,785,794,802,813,821,829,834,847,855,860,869,877,890,899,908,914,923,929,941,945,956,963,973,983,985,997,1004,1011,1020,1028,1038,1045,1054,1068,1078,1084,1092,1099,1105,1113,1125,1134,1144,1152,1157,1171	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,23,29,41,51,58,62,69,78,89,97,107,111,119,136,137,148,160,167,175,183,319,335,343,350,352,365,376,386,394,395,406,414,424,433,441,456,607,609,619,634,641,646,655,664,676,683,690,699,704,716,726,733,738,750,759,765,772,788,795,802,813,821,823,837,841,851,863,871,878,889,892,904,911,917,930,938,950,956,965,968,983,990,995,1008,1011,1022,1029,1036,1045,1057,1062,1078,1083,1092,1099,1105,1113,1123,1131,1141,1153,1161,1167,1176	1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,21,29,39,46,54,64,73,84,90,96,104,117,126,128,139,147,157,163,178,316,320,333,336,346,355,363,370,383,392,395,405,412,429,432,439,468,602,612,624,631,636,651,654,665,677,685,688,701,710,716,725,735,742,751,760,766,778,785,791,798,811,816,830,837,840,854,860,869,875,887,897,908,915,921,930,934,950,954,966,971,980,987,994,1004,1013,1024,1034,1042,1051,1060,1065,1074,1081,1095,1102,1106,1113,1129,1130,1139,1154,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,26,40,46,53,66,71,83,88,94,104,119,125,128,142,146,160,163,175,180,319,331,340,348,352,361,373,385,387,398,407,413,427,431,442,458,605,615,623,631,635,650,653,663,671,683,687,699,710,719,724,731,739,746,755,770,777,781,796,800,810,817,823,837,843,855,863,871,877,889,897,900,915,923,933,940,948,951,964,973,978,988,995,1007,1014,1020,1029,1041,1048,1061,1069,1070,1082,1092,1101,1107,1120,1128,1135,1143,1151,1164,1170	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,21,29,36,50,57,64,71,77,89,95,109,112,120,135,144,152,154,163,174,316,318,327,337,345,353,368,377,379,392,398,408,413,427,437,438,462,601,609,623,633,638,647,657,666,674,681,693,697,707,713,725,731,740,752,756,769,779,788,795,798,813,814,828,837,845,850,857,866,877,889,892,901,915,922,931,941,943,955,962,972,980,989,995,1002,1012,1025,1029,1041,1051,1054,1064,1071,1082,1092,1101,1108,1114,1129,1130,1142,1147,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,24,27,41,43,55,66,76,83,91,99,107,117,119,132,138,152,158,165,178,180,319,335,340,346,360,362,370,379,387,401,407,420,424,434,442,599,605,615,624,630,642,652,658,661,677,680,689,702,710,718,720,733,744,754,758,765,773,784,789,801,811,817,823,835,846,857,860,872,874,887,897,903,914,917,928,936,942,954,965,975,983,988,997,1006,1016,1020,1030,1044,1053,1055,1063,1079,1082,1095,1099,1110,1118,1127,1135,1140,1154,1160,1172	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,9,19,31,37,48,55,60,69,82,90,100,107,115,120,131,137,149,158,169,171,181,325,327,343,348,359,367,374,379,388,403,408,420,425,431,440,452,605,616,624,632,636,647,652,662,676,683,693,695,704,715,725,735,742,749,758,769,774,781,792,800,809,822,829,832,846,850,857,868,880,890,891,900,914,920,932,937,943,957,960,974,983,989,994,1008,1010,1021,1031,1041,1046,1059,1064,1074,1082,1090,1098,1105,1113,1123,1134,1145,1155,1156,1165,1173	0,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,13,20,31,41,44,52,63,75,78,90,100,106,118,121,133,139,148,159,162,179,180,326,332,343,348,360,364,371,385,388,399,405,415,424,431,445,466,607,609,621,626,643,649,655,662,676,682,692,695,706,714,721,729,739,749,758,764,775,786,792,801,810,817,823,833,848,849,861,869,878,886,892,906,909,919,933,938,945,952,960,976,982,985,995,1002,1018,1021,1031,1039,1049,1057,1065,1073,1087,1095,1104,1109,1113,1125,1135,1146,1152,1160,1165,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,13,21,29,38,44,54,61,69,77,86,100,104,117,127,130,145,147,154,167,177,182,320,329,337,349,352,366,376,383,393,401,409,414,421,430,445,449,608,609,618,630,643,648,658,668,673,681,691,701,705,712,725,729,744,750,762,765,772,787,792,797,809,822,826,838,840,852,858,871,879,887,891,906,912,922,927,941,942,958,965,969,979,993,995,1002,1015,1023,1030,1042,1048,1054,1068,1071,1084,1088,1100,1106,1115,1127,1130,1145,1149,1157,1165,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
3,12,18,31,40,44,51,63,73,85,89,95,103,116,120,135,142,150,158,166,175,313,322,330,336,347,358,362,375,381,388,401,407,416,422,437,444,468,601,612,622,633,639,648,656,668,672,680,687,699,704,719,722,735,740,750,758,764,772,784,797,803,812,819,828,834,848,850,863,872,882,886,891,904,911,924,931,938,945,957,967,969,981,986,996,1005,1019,1026,1035,1044,1048,1058,1067,1075,1079,1094,1102,1107,1120,1126,1135,1143,1155,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,24,26,41,50,58,64,74,80,89,95,108,118,119,132,142,149,154,168,177,314,321,335,338,346,357,362,370,379,388,399,405,419,421,437,440,599,605,610,624,628,636,650,654,665,674,680,691,702,706,719,722,731,741,754,762,769,776,783,789,800,810,816,830,834,841,852,859,871,877,886,892,903,911,921,931,940,948,958,967,969,983,991,996,1005,1018,1026,1031,1040,1049,1054,1067,1073,1082,1091,1097,1104,1121,1127,1134,1142,1149,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,20,30,41,48,57,65,72,81,89,99,108,116,124,135,137,145,161,168,172,313,320,327,337,348,359,362,370,385,389,398,410,420,426,430,443,599,605,611,625,628,640,647,656,663,672,685,688,699,706,715,722,736,739,746,760,765,777,786,793,801,813,818,830,834,840,854,857,873,878,884,899,900,914,919,932,937,950,951,964,969,984,986,993,1003,1014,1020,1033,1036,1045,1054,1068,1070,1087,1089,1101,1105,1120,1127,1131,1143,1155,1156,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,27,40,47,54,67,68,80,92,96,108,119,126,133,145,151,153,170,177,318,320,328,335,346,356,366,370,382,392,399,406,418,427,430,445,466,603,617,619,632,641,644,657,668,674,679,693,697,709,714,721,734,741,749,760,763,779,786,791,801,812,817,825,838,841,855,860,869,882,889,891,899,914,923,927,935,945,954,967,970,983,985,996,1003,1016,1023,1035,1036,1045,1058,1065,1074,1081,1088,1099,1109,1120,1129,1130,1145,1154,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,31,37,49,58,67,72,83,85,100,107,118,127,134,141,146,160,167,178,315,323,330,339,347,355,365,374,378,392,400,411,417,424,429,437,448,601,613,622,628,640,648,654,668,670,684,690,698,704,713,727,731,741,752,760,763,772,784,793,799,807,818,830,838,845,849,863,868,876,884,895,907,916,921,930,941,942,956,961,975,979,990,994,1004,1018,1025,1030,1041,1048,1061,1069,1071,1082,1090,1102,1108,1116,1125,1134,1144,1149,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,32,39,48,54,62,75,81,86,97,103,115,123,133,142,149,162,164,178,315,321,329,343,346,360,363,377,383,394,403,406,416,424,437,440,600,609,611,622,628,639,647,655,667,676,684,690,702,709,716,727,733,740,747,760,767,772,785,795,804,807,817,825,837,840,848,858,868,880,885,893,907,908,920,926,934,949,955,964,970,983,990,998,1008,1016,1023,1034,1043,1049,1054,1064,1072,1080,1087,1098,1111,1118,1125,1138,1141,1154,1157,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,22,31,37,45,56,66,71,78,92,100,104,116,127,132,139,152,159,170,178,314,325,326,339,347,353,368,376,386,394,403,407,412,427,435,443,596,605,615,624,630,637,650,659,663,676,685,692,699,709,714,725,736,740,754,757,768,775,780,796,804,806,816,826,836,846,850,857,867,876,883,895,902,916,920,926,934,944,959,965,969,983,988,999,1005,1015,1026,1028,1038,1050,1056,1067,1072,1082,1089,1096,1110,1120,1124,1135,1146,1154,1160,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,32,39,45,52,64,72,84,86,102,110,118,125,128,140,152,161,168,174,313,321,334,340,352,353,367,371,380,392,403,405,420,423,430,439,463,602,614,619,626,638,647,655,664,672,685,688,697,706,712,723,736,742,751,762,764,775,785,797,800,809,816,823,838,842,855,859,872,880,885,898,907,916,919,927,938,944,959,962,968,981,986,994,1003,1017,1023,1031,1041,1047,1060,1065,1075,1085,1091,1104,1106,1119,1126,1136,1143,1152,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,27,41,47,53,64,76,80,91,96,107,119,124,129,143,153,154,166,171,180,324,330,343,345,358,366,375,378,395,402,407,420,428,429,444,596,605,612,621,627,640,649,654,667,676,682,688,701,704,713,728,735,741,750,761,763,775,788,789,801,812,815,825,834,845,853,864,870,875,889,899,901,909,921,926,940,944,953,966,971,984,992,1001,1009,1015,1025,1033,1043,1051,1055,1066,1078,1087,1088,1098,1111,1115,1127,1136,1147,1150,1162,1167,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,16,25,26,37,46,51,64,69,77,88,95,102,117,126,131,136,149,158,162,171,315,319,329,340,349,358,366,375,380,387,400,409,413,421,435,440,598,604,615,618,631,643,649,660,667,671,680,690,695,703,718,725,730,742,746,754,770,773,781,790,800,813,815,825,839,844,851,860,866,877,884,894,901,911,920,932,942,943,958,960,969,976,987,1000,1003,1017,1023,1032,1037,1049,1058,1062,1072,1085,1093,1100,1105,1117,1129,1130,1139,1147,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,33,36,48,57,65,72,77,89,100,103,114,122,132,141,146,161,170,175,315,321,330,336,351,352,364,375,383,389,398,405,419,425,431,445,459,602,616,626,633,636,648,656,667,669,680,692,695,705,714,725,735,745,750,756,763,772,786,789,800,808,821,826,833,846,848,861,872,877,883,894,907,909,923,933,942,945,955,961,971,979,990,999,1007,1017,1027,1030,1037,1052,1054,1066,1072,1081,1093,1097,1106,1114,1126,1134,1143,1152,1164,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,25,34,43,54,65,69,78,89,101,108,112,124,131,138,146,158,162,177,315,323,331,340,348,357,361,375,379,393,399,410,416,427,435,437,600,603,612,622,627,641,645,654,661,676,681,687,702,704,713,720,733,744,752,758,764,775,781,795,798,805,820,826,838,844,849,864,870,875,889,893,902,915,923,925,938,951,956,963,969,984,988,999,1009,1019,1021,1036,1042,1053,1060,1067,1072,1079,1095,1102,1112,1114,1124,1135,1146,1147,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,21,32,39,49,53,66,76,84,86,96,108,119,126,135,140,146,159,162,171,317,324,328,340,347,356,369,377,380,391,398,405,416,428,432,440,598,608,612,619,632,636,644,654,666,673,681,687,695,703,719,725,733,739,749,762,768,777,784,789,798,809,819,827,834,843,854,863,867,879,887,894,907,913,924,926,936,946,951,966,973,982,991,996,1003,1019,1022,1033,1039,1047,1062,1069,1078,1085,1095,1096,1111,1119,1130,1134,1141,1147,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,28,38,47,56,63,75,83,92,98,106,117,120,130,140,148,161,167,174,185,320,332,339,344,357,362,370,380,387,402,405,412,421,432,438,596,607,612,626,632,638,650,659,667,674,682,694,702,707,712,727,730,742,747,761,767,779,781,796,802,808,822,826,836,848,855,863,873,880,885,898,900,915,921,927,937,944,957,959,975,982,991,995,1007,1014,1026,1028,1042,1052,1061,1069,1076,1083,1094,1101,1104,1116,1127,1132,1142,1150,1158,1166,1178	1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,24,29,36,50,57,64,73,83,90,97,108,115,125,128,136,148,153,167,172,315,323,332,338,350,360,367,373,384,390,401,408,416,421,432,438,596,606,612,624,627,640,650,656,662,676,685,687,702,711,719,727,736,744,750,760,767,772,786,792,797,810,820,831,833,841,853,858,866,881,887,893,904,908,920,931,940,949,952,963,973,982,993,998,1002,1015,1020,1028,1044,1051,1060,1068,1075,1084,1092,1103,1109,1117,1122,1134,1145,1148,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,20,26,42,50,54,59,74,83,88,96,104,114,119,129,140,151,157,165,172,317,320,333,336,344,358,364,377,382,387,401,408,414,422,430,444,467,602,609,626,628,640,647,657,661,675,681,691,695,706,717,726,732,740,748,756,770,776,782,790,800,809,821,830,834,840,853,861,871,877,885,893,905,915,922,931,940,948,956,967,973,982,987,1002,1007,1013,1022,1029,1037,1045,1059,1066,1075,1079,1090,1099,1107,1119,1130,1138,1139,1150,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,25,36,42,51,61,75,81,91,101,108,118,123,133,143,147,161,170,171,315,326,328,336,348,360,363,371,384,392,401,409,412,425,430,444,460,609,615,621,631,637,645,656,666,676,684,693,699,705,713,723,730,740,753,755,768,779,781,795,802,808,818,827,837,841,856,861,867,874,883,895,901,915,917,928,936,942,951,960,969,979,988,994,1004,1012,1020,1032,1042,1053,1058,1065,1076,1086,1089,1101,1108,1116,1124,1135,1139,1153,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,32,35,47,54,65,71,83,90,96,110,117,127,136,139,151,160,164,176,314,326,331,339,345,357,364,376,384,390,402,403,416,422,430,438,598,606,613,624,630,640,647,657,665,671,685,692,699,710,719,725,732,742,753,757,769,776,783,789,797,813,819,823,835,847,848,859,873,882,885,895,901,915,925,927,938,949,956,962,975,984,988,995,1009,1016,1024,1035,1038,1051,1054,1063,1074,1086,1093,1098,1108,1114,1122,1132,1146,1149,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,27,34,47,59,60,74,80,90,99,109,116,123,134,143,152,155,162,176,317,322,328,335,345,360,364,370,384,391,402,404,412,428,437,446,463,604,610,619,629,639,645,653,668,673,678,687,702,710,717,720,734,737,749,758,770,773,788,793,798,811,816,826,839,840,850,857,871,874,890,899,900,916,920,933,940,947,953,961,976,980,990,994,1008,1018,1021,1033,1042,1047,1060,1069,1077,1083,1089,1101,1108,1114,1128,1135,1144,1154,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,26,36,44,53,62,72,83,92,94,104,112,125,131,140,146,155,170,177,316,321,335,336,350,353,368,371,384,386,400,410,417,420,430,442,599,607,612,623,631,638,645,658,667,673,682,694,695,707,717,721,734,746,748,758,765,772,781,796,800,811,821,826,836,846,850,865,873,876,883,891,905,911,924,926,938,944,956,961,971,981,987,994,1005,1012,1025,1034,1044,1052,1058,1064,1074,1080,1088,1097,1107,1121,1124,1135,1146,1150,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,28,41,49,51,63,70,80,85,98,110,112,123,128,137,149,154,163,170,317,319,331,337,349,355,362,370,379,386,397,406,415,427,433,441,599,608,616,623,629,637,646,652,661,671,683,691,696,708,717,725,733,740,747,758,770,774,784,789,800,810,815,824,837,844,850,865,873,875,884,894,904,915,921,930,942,946,956,964,968,981,985,1002,1005,1012,1019,1028,1036,1048,1061,1065,1072,1087,1093,1099,1111,1113,1124,1135,1142,1150,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,23,31,38,48,54,64,68,84,85,97,106,112,122,135,142,153,160,162,173,318,319,333,337,350,356,365,377,383,393,395,409,415,425,433,437,471,602,610,621,627,638,645,658,664,671,680,687,702,707,715,725,731,743,750,762,764,773,780,794,799,809,814,829,836,844,849,862,868,874,889,892,903,914,920,932,940,944,956,961,975,978,988,997,1008,1011,1022,1028,1040,1045,1055,1064,1070,1082,1095,1104,1111,1116,1128,1131,1139,1148,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,23,26,34,43,52,59,70,79,87,95,105,111,126,136,140,152,154,167,177,317,321,334,338,351,352,361,374,378,392,397,412,419,426,432,440,596,606,612,621,630,641,646,660,667,672,677,693,701,705,713,727,730,739,751,755,771,773,781,791,798,813,817,827,838,843,856,861,873,877,890,898,900,914,922,926,935,949,952,964,974,977,992,995,1005,1011,1021,1031,1039,1052,1054,1062,1072,1086,1095,1097,1110,1115,1122,1135,1145,1153,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,32,34,50,56,67,72,80,86,100,107,113,123,132,142,147,156,164,173,313,326,334,340,346,355,367,375,382,392,400,411,412,426,433,443,465,604,611,618,629,639,651,656,665,676,678,692,696,710,716,724,730,745,754,762,766,780,782,792,800,812,816,829,832,841,849,864,867,878,885,893,902,916,918,926,935,950,958,961,968,982,991,1002,1010,1013,1027,1031,1039,1048,1062,1067,1077,1082,1088,1102,1112,1114,1128,1136,1145,1147,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,25,31,39,48,52,68,76,83,87,95,108,115,126,128,138,151,157,164,178,313,320,327,336,349,358,365,377,386,389,402,409,419,422,436,442,451,605,612,626,628,640,645,653,666,673,684,687,700,705,719,721,736,744,750,757,771,773,781,795,804,813,816,823,837,844,854,862,869,878,886,895,906,910,924,931,936,942,956,961,976,978,986,1000,1007,1016,1025,1030,1040,1052,1061,1068,1075,1084,1092,1098,1111,1113,1124,1133,1141,1152,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,33,35,51,59,61,76,77,86,94,104,111,121,134,141,153,154,166,173,316,319,327,336,349,353,369,373,382,394,397,411,417,427,432,442,457,607,616,625,627,643,646,659,666,674,678,693,699,707,713,722,735,743,748,757,771,772,785,793,803,807,817,827,835,841,850,858,865,879,883,898,901,914,922,926,938,943,951,967,974,978,990,999,1009,1012,1027,1034,1040,1047,1061,1063,1077,1083,1094,1096,1106,1116,1125,1137,1147,1149,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,32,35,48,55,65,70,83,87,97,103,113,124,129,140,152,160,166,172,183,319,332,336,346,355,363,376,378,387,402,405,413,421,433,446,598,603,609,619,626,642,651,656,661,673,680,692,696,705,718,727,734,740,753,758,764,777,785,796,797,807,818,831,839,845,853,857,869,876,885,899,902,910,924,927,935,944,958,961,973,976,988,1001,1005,1011,1021,1034,1041,1049,1057,1063,1077,1080,1095,1103,1105,1120,1124,1132,1139,1148,1160,1168	1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,25,30,39,43,56,64,76,79,92,100,103,114,124,134,144,148,156,163,176,182,321,330,337,347,354,369,377,380,393,400,403,420,422,432,446,597,607,614,620,626,636,646,659,660,676,677,687,702,710,720,725,730,738,753,759,763,772,786,790,798,811,820,823,835,847,856,858,870,880,887,897,907,909,924,931,937,950,956,966,973,980,985,1000,1009,1014,1026,1027,1041,1046,1055,1065,1075,1083,1094,1101,1110,1119,1126,1137,1142,1148,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,9,22,25,37,45,55,65,75,83,85,99,106,116,126,130,138,150,157,164,176,186,320,327,338,349,354,362,371,379,390,400,408,418,423,436,440,450,608,615,625,634,642,650,652,661,675,681,694,700,705,715,727,729,741,747,756,770,774,788,790,803,811,817,824,837,841,850,862,870,874,883,896,905,909,918,926,940,949,954,967,969,977,988,995,1006,1014,1027,1032,1039,1047,1056,1068,1071,1083,1089,1099,1109,1118,1125,1137,1144,1152,1163,1169,1174	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,22,29,39,44,57,67,71,84,90,96,105,118,125,136,137,153,160,164,170,181,322,329,343,347,358,366,371,386,387,397,408,412,425,434,443,456,603,610,625,633,639,648,659,662,672,680,690,701,708,719,724,734,738,748,757,769,780,787,795,797,812,818,828,835,844,853,863,870,876,883,895,901,909,923,925,936,945,956,965,969,977,990,997,1007,1017,1021,1035,1036,1046,1056,1069,1072,1082,1095,1099,1110,1113,1126,1136,1142,1152,1159,1164,1173	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,14,18,31,38,44,57,64,68,84,87,100,110,116,127,133,142,153,157,168,176,192,324,328,338,346,357,366,377,384,389,400,404,420,422,431,439,450,605,613,623,633,643,651,655,669,673,682,694,696,704,717,722,736,743,752,759,765,777,783,793,799,808,816,824,834,841,855,861,867,874,885,896,906,913,920,927,939,946,953,964,976,984,989,998,1010,1011,1026,1031,1036,1048,1055,1066,1072,1082,1091,1104,1105,1119,1125,1131,1142,1154,1156,1168,1177	1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,22,26,42,44,55,60,74,79,92,99,107,118,120,136,138,150,154,168,176,183,322,330,341,350,355,368,374,384,391,400,410,419,421,436,446,465,608,613,625,626,637,648,659,661,671,683,690,695,709,719,721,732,741,751,761,766,780,782,790,805,813,818,830,836,848,855,860,873,877,890,895,900,915,921,930,941,945,959,967,973,979,988,995,1004,1012,1020,1030,1041,1052,1053,1063,1076,1086,1092,1096,1106,1121,1130,1136,1142,1149,1156,1167,1176	1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,24,26,36,43,55,64,75,78,87,98,107,116,125,132,138,146,159,170,173,180,324,334,337,350,355,368,372,379,389,395,411,416,424,437,439,600,602,617,623,635,636,645,658,669,670,678,694,702,711,712,720,733,745,747,758,767,775,787,790,800,806,821,825,835,846,850,864,869,875,887,898,902,912,921,926,935,948,959,960,972,984,992,1000,1002,1015,1022,1033,1044,1047,1056,1070,1075,1085,1089,1102,1112,1119,1124,1134,1141,1151,1161,1173,1177	1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,15,24,30,34,42,52,63,73,83,89,95,103,114,127,133,139,153,156,166,176,180,326,334,338,347,356,363,377,383,392,401,405,419,429,430,437,449,607,613,622,634,635,651,656,666,676,681,689,698,704,719,728,732,742,752,757,769,773,787,794,805,811,816,830,834,845,853,858,873,875,883,896,903,912,918,932,937,950,958,967,974,978,987,993,1010,1014,1022,1030,1041,1045,1054,1068,1076,1084,1095,1099,1113,1121,1129,1131,1141,1153,1162,1166,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,17,33,39,44,59,67,72,82,90,97,108,113,121,128,141,150,160,165,177,315,321,333,339,344,353,369,374,382,390,403,405,418,421,431,440,470,606,609,624,633,643,649,657,661,671,680,691,696,709,712,727,730,738,747,755,766,772,783,791,801,807,817,823,832,843,853,863,870,882,886,899,908,909,921,926,934,949,958,964,971,978,990,994,1007,1012,1025,1034,1038,1046,1061,1064,1074,1080,1092,1100,1111,1115,1123,1132,1147,1155,1156,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,24,26,37,44,55,63,72,81,89,101,103,113,122,136,141,145,158,163,178,192,322,328,342,349,355,366,376,385,393,399,411,418,427,436,440,462,601,612,624,631,643,644,652,664,675,683,693,696,706,719,721,736,738,752,760,769,778,788,794,805,806,816,825,834,847,856,859,865,879,889,898,907,913,921,927,939,945,959,962,968,983,985,1001,1010,1019,1021,1031,1037,1047,1057,1067,1070,1087,1089,1097,1111,1117,1128,1131,1141,1153,1156,1168	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,20,27,38,50,54,64,75,85,92,99,106,112,123,136,137,151,156,170,178,187,322,327,342,350,360,364,375,380,387,402,408,420,427,429,441,458,601,616,621,631,640,646,652,662,670,682,689,701,706,713,724,737,743,752,762,765,774,784,793,797,808,817,824,832,845,849,858,867,881,886,892,902,910,924,927,942,944,956,966,972,982,985,997,1010,1017,1027,1029,1037,1046,1059,1065,1075,1084,1088,1096,1108,1120,1124,1133,1145,1153,1161,1171,1178	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,22,31,39,45,56,60,73,80,87,98,104,119,126,133,143,149,160,166,178,191,326,327,341,344,357,365,375,386,391,401,409,413,426,433,444,466,607,615,619,628,642,645,657,661,677,684,688,701,709,718,724,729,744,752,760,765,772,783,791,805,806,822,826,837,845,853,859,870,876,890,898,901,916,919,926,938,946,958,965,969,978,988,999,1007,1016,1020,1033,1042,1046,1060,1069,1078,1079,1095,1100,1106,1116,1126,1134,1147,1150,1162,1169,1174	0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,24,28,37,48,54,63,69,84,86,101,110,118,124,135,140,146,159,167,177,187,320,329,342,348,360,366,370,382,390,401,404,418,424,436,441,599,608,616,622,634,635,643,655,661,676,679,694,695,706,713,727,736,743,747,757,767,779,781,793,802,807,818,830,838,845,856,860,871,876,883,896,902,909,922,930,940,943,952,961,971,978,992,998,1008,1013,1024,1034,1044,1045,1056,1064,1074,1084,1091,1103,1106,1121,1128,1132,1141,1151,1160,1167,1176	1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,10,18,30,41,47,54,63,72,77,91,94,110,118,126,128,139,150,157,166,171,179,321,334,337,351,359,368,369,384,392,398,408,420,426,434,443,468,606,611,618,627,636,650,654,667,673,678,693,696,703,714,722,734,738,749,762,769,779,782,796,805,810,817,823,833,847,849,858,868,881,887,893,904,913,917,931,939,944,951,963,971,982,989,1000,1006,1016,1023,1032,1037,1045,1059,1066,1071,1086,1093,1102,1110,1116,1126,1130,1141,1154,1159,1170	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,23,30,36,50,56,65,68,77,93,99,107,114,121,129,141,146,155,164,174,185,324,329,343,350,359,367,373,382,392,398,406,414,426,435,440,600,604,615,625,632,643,649,658,664,677,686,694,696,704,716,724,735,742,750,762,764,773,780,790,805,813,814,829,836,846,849,863,872,876,885,892,903,915,918,932,937,951,954,966,970,981,993,1000,1002,1015,1026,1034,1043,1050,1060,1066,1072,1083,1087,1100,1110,1114,1126,1133,1139,1154,1162,1169,1173	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,19,27,35,42,56,59,74,80,93,99,107,112,122,136,137,153,154,166,172,316,324,332,342,349,355,369,371,385,386,399,403,416,421,433,442,597,602,617,626,627,636,649,657,666,670,677,691,695,707,714,723,731,744,754,759,765,775,780,791,804,810,815,823,833,841,855,860,867,881,889,896,903,909,923,929,934,949,957,967,971,978,985,997,1005,1016,1027,1033,1042,1048,1060,1069,1072,1082,1093,1103,1106,1120,1127,1134,1143,1147,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,33,39,46,56,62,75,82,87,101,109,114,119,134,144,149,160,166,175,314,321,331,339,351,355,364,374,381,394,398,405,415,429,434,442,461,603,610,620,632,640,644,658,660,673,684,693,703,707,720,722,729,739,746,757,771,775,784,789,800,808,822,828,832,848,852,860,866,874,883,896,908,912,924,930,942,947,956,961,976,981,987,999,1009,1017,1023,1034,1044,1049,1055,1066,1072,1083,1089,1101,1111,1121,1122,1138,1145,1149,1162,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,28,41,49,57,61,72,84,89,97,109,118,126,132,143,152,155,167,178,315,323,335,343,350,358,367,373,386,393,402,409,418,428,433,445,600,608,609,621,630,637,645,657,668,672,682,689,699,709,714,726,730,737,752,755,764,779,785,789,799,806,816,823,838,845,853,862,870,882,890,892,906,911,924,933,938,947,953,960,975,978,991,997,1005,1017,1022,1029,1037,1050,1061,1062,1078,1079,1093,1099,1111,1121,1123,1130,1140,1151,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,19,29,34,42,53,64,72,84,85,99,109,111,124,131,140,147,159,167,173,317,324,330,337,347,358,361,369,381,387,401,406,420,424,436,439,597,609,616,619,627,635,647,654,664,674,678,690,702,706,718,727,731,745,746,760,766,778,782,790,798,810,818,828,838,842,854,863,867,879,883,896,903,909,921,929,940,949,958,963,971,984,990,994,1005,1011,1027,1028,1040,1048,1058,1065,1075,1081,1090,1100,1110,1119,1129,1132,1143,1150,1156,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,31,41,44,55,62,72,85,87,94,110,115,126,129,144,151,154,169,172,317,323,330,343,351,353,364,376,386,389,403,409,415,421,434,442,596,602,610,618,630,637,651,653,664,670,679,688,697,704,713,728,731,745,752,757,768,771,783,797,800,810,820,830,832,840,851,860,867,878,886,892,904,910,923,925,941,946,959,967,974,983,993,1000,1002,1018,1026,1033,1037,1052,1053,1066,1070,1083,1088,1101,1112,1114,1124,1138,1146,1151,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,25,26,37,47,58,61,76,82,93,100,107,115,123,131,144,152,161,167,174,313,325,327,340,347,357,366,377,386,389,403,407,420,428,433,445,448,601,609,625,628,642,648,656,667,674,685,687,697,711,717,720,733,738,751,760,765,775,782,793,799,814,821,831,833,844,850,859,873,878,887,894,906,912,923,933,935,944,953,961,970,977,985,997,1005,1016,1026,1030,1037,1046,1059,1069,1072,1086,1089,1097,1110,1113,1123,1132,1146,1155,1156,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,26,36,50,59,67,73,83,88,102,106,119,126,136,137,152,159,164,174,313,324,332,343,347,360,365,375,381,387,397,411,412,426,430,447,466,607,616,623,632,639,644,652,662,676,678,692,700,705,714,724,732,744,752,755,765,776,787,790,802,807,816,823,836,844,848,864,870,874,890,894,905,910,921,930,938,948,956,962,969,978,992,996,1006,1014,1020,1031,1040,1048,1059,1067,1074,1081,1092,1100,1112,1114,1126,1135,1147,1149,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,31,40,42,54,60,68,78,93,95,107,113,122,132,144,148,159,162,177,315,318,330,338,350,357,364,376,385,393,396,411,415,421,432,444,600,604,616,624,631,638,649,654,666,676,682,687,699,709,714,720,731,744,748,754,767,778,781,794,802,813,822,829,838,841,851,864,872,874,889,894,902,915,920,925,938,950,951,960,974,984,993,995,1009,1012,1021,1032,1037,1046,1059,1069,1078,1082,1093,1096,1108,1117,1125,1133,1143,1152,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,28,36,48,53,61,74,77,93,95,108,118,126,129,137,149,157,168,172,199,319,333,342,344,352,361,373,386,388,398,411,419,424,431,444,468,607,613,625,627,640,647,659,664,669,681,690,697,709,715,723,730,743,752,756,765,777,782,788,804,811,822,823,836,843,853,864,873,874,883,895,905,913,924,933,938,947,955,962,970,979,988,994,1004,1016,1027,1029,1043,1050,1056,1068,1078,1084,1094,1103,1107,1114,1123,1131,1141,1151,1157,1169	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,8,19,27,42,50,51,62,70,84,93,96,108,117,124,130,144,145,153,169,171,317,321,334,337,350,353,367,372,384,390,400,410,419,426,429,441,598,601,611,621,633,635,651,659,667,675,682,691,703,710,717,728,730,738,746,761,765,775,786,792,803,806,814,830,832,840,850,864,873,881,884,895,901,916,919,925,936,950,957,967,969,981,990,994,1008,1012,1024,1031,1038,1047,1054,1070,1073,1083,1088,1099,1109,1115,1125,1133,1139,1154,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,34,39,47,52,62,70,84,90,98,107,113,123,131,143,148,155,163,178,315,322,330,336,350,355,365,378,385,392,401,405,420,423,435,438,470,607,612,621,634,639,649,653,665,671,681,691,700,709,712,723,730,744,754,758,766,773,787,794,797,812,820,825,836,841,856,862,869,876,884,893,905,916,924,925,935,943,958,965,975,981,986,996,1004,1011,1022,1031,1036,1046,1061,1067,1078,1080,1089,1104,1109,1115,1129,1130,1142,1153,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,30,41,44,55,62,70,82,88,95,106,112,124,128,143,146,154,170,174,316,322,330,338,349,356,366,371,384,393,397,404,420,425,435,440,597,605,613,619,627,641,644,654,667,674,682,693,701,711,712,722,731,743,749,758,769,776,782,791,805,813,821,823,835,843,856,860,873,877,884,891,902,916,922,933,934,950,952,961,975,984,990,995,1005,1018,1024,1032,1040,1051,1059,1066,1073,1087,1088,1102,1108,1119,1125,1137,1144,1152,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,23,28,40,47,58,63,71,77,86,101,108,112,127,129,136,149,158,165,172,315,326,332,340,349,354,364,375,378,393,403,404,418,422,432,444,457,609,615,624,630,636,643,653,664,669,680,687,700,711,719,724,730,741,747,755,765,779,786,791,804,809,820,827,838,841,856,858,869,877,887,898,902,916,923,927,942,944,957,964,968,980,988,1000,1010,1014,1020,1028,1038,1052,1054,1064,1074,1084,1091,1103,1106,1120,1127,1138,1142,1154,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,26,34,49,59,61,73,80,93,102,105,119,121,128,141,147,156,169,176,315,323,326,339,350,359,367,376,379,394,398,408,416,420,433,440,459,605,614,620,628,641,645,656,668,675,682,688,702,709,713,723,733,738,751,758,768,774,786,795,802,806,820,829,839,846,849,858,871,879,884,898,908,914,917,927,938,945,953,964,970,980,992,998,1008,1011,1026,1036,1043,1052,1058,1063,1075,1082,1094,1103,1109,1121,1129,1130,1147,1154,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,24,33,35,47,52,63,75,78,89,97,102,116,126,129,143,148,159,165,178,314,323,328,336,346,354,361,371,381,388,397,411,416,427,429,438,469,603,610,625,631,635,647,656,661,677,683,689,696,710,714,725,734,740,752,761,763,775,784,791,799,808,822,825,839,846,854,857,872,880,890,899,902,915,923,932,936,948,951,967,971,981,990,994,1007,1015,1020,1031,1043,1050,1055,1070,1072,1085,1090,1100,1109,1117,1128,1136,1147,1153,1158,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,25,34,44,52,60,73,78,88,97,105,116,123,135,137,146,157,167,177,313,323,330,337,348,357,363,370,383,394,399,409,416,422,434,446,455,605,611,618,628,635,646,658,661,675,681,686,702,711,713,722,737,744,753,760,766,777,788,794,803,807,821,829,837,841,850,859,867,881,885,894,907,913,917,931,934,948,955,963,974,979,993,1002,1003,1018,1021,1033,1038,1049,1059,1063,1072,1083,1091,1096,1108,1116,1127,1138,1139,1151,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,32,38,44,56,64,74,78,92,98,109,115,127,134,144,151,157,168,172,313,323,333,338,344,360,361,373,383,387,403,409,417,421,430,442,598,601,613,623,627,636,651,658,664,669,679,688,698,705,716,728,730,742,747,759,767,775,782,796,802,808,819,829,836,841,850,859,867,874,885,894,900,913,925,931,941,948,954,964,968,983,987,994,1010,1017,1025,1029,1042,1046,1056,1064,1071,1086,1095,1097,1110,1117,1128,1138,1147,1148,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,31,39,44,54,61,69,77,85,97,106,115,120,128,141,152,153,164,175,316,325,332,343,349,358,364,370,386,390,396,404,412,421,431,438,597,606,613,626,632,642,646,654,666,675,679,686,699,710,719,728,733,744,750,759,770,774,786,795,803,811,818,827,834,847,852,860,867,876,890,899,902,913,921,926,939,947,953,960,972,983,992,998,1002,1013,1025,1031,1039,1045,1054,1064,1074,1079,1088,1103,1107,1115,1128,1132,1145,1154,1157,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,29,38,48,53,62,75,80,87,97,107,114,124,131,139,146,161,167,175,317,322,328,337,344,354,363,377,379,389,397,411,418,425,434,444,600,606,616,626,631,643,651,653,666,674,681,692,698,708,720,724,731,744,749,756,765,776,782,789,805,809,815,828,833,840,854,862,869,874,890,892,900,915,920,932,934,950,957,964,968,980,989,998,1006,1011,1026,1030,1036,1052,1060,1065,1073,1083,1090,1100,1111,1115,1124,1135,1145,1147,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,17,27,37,48,57,64,75,78,85,94,107,112,120,128,143,153,156,170,173,318,324,333,336,350,353,368,370,385,395,398,412,419,422,429,439,457,605,612,620,631,642,648,658,662,672,686,693,696,703,719,724,733,743,754,757,766,776,783,792,801,811,819,827,839,848,854,861,867,881,888,893,907,913,922,929,937,944,955,965,969,985,991,996,1008,1015,1026,1036,1040,1051,1056,1068,1076,1087,1096,1102,1111,1118,1128,1137,1144,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,32,34,46,59,66,70,83,91,97,109,116,128,132,144,145,154,168,177,316,323,331,335,344,357,368,370,381,392,403,408,417,425,437,438,596,609,614,622,631,637,644,659,662,676,679,692,701,709,720,727,735,745,748,762,766,773,780,790,797,808,818,827,835,843,852,859,871,878,886,894,906,908,922,925,937,942,953,961,975,984,993,997,1002,1016,1020,1034,1041,1050,1058,1063,1074,1086,1089,1102,1110,1117,1123,1138,1144,1155,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,24,30,37,44,57,64,70,84,90,99,105,119,124,130,143,148,160,165,170,313,324,332,337,350,353,365,369,386,391,397,410,419,428,431,444,457,604,616,620,634,641,645,653,665,676,685,689,703,711,716,722,731,741,747,760,763,777,785,792,803,811,817,831,839,844,856,860,869,875,887,897,907,915,921,932,938,945,951,961,968,981,992,993,1007,1011,1019,1031,1041,1053,1058,1070,1075,1084,1088,1099,1108,1118,1122,1138,1139,1153,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,32,36,44,54,65,74,81,91,94,110,112,127,130,140,146,154,164,171,315,319,330,337,346,354,368,374,381,393,400,406,417,429,433,438,596,607,615,619,632,639,646,658,662,673,677,692,695,704,718,723,730,741,753,760,763,779,782,796,798,811,822,826,832,844,852,861,871,874,890,894,899,913,924,931,936,944,953,966,974,983,992,1000,1007,1014,1025,1034,1041,1045,1060,1066,1075,1086,1089,1099,1112,1115,1122,1133,1139,1148,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,33,39,46,51,68,74,85,88,101,107,116,125,129,139,147,154,166,172,314,321,333,335,349,355,362,373,385,392,398,412,417,427,433,439,462,606,617,621,634,639,643,659,664,674,679,688,696,705,717,720,736,738,749,757,765,778,782,792,798,807,817,823,835,844,856,858,865,875,887,896,907,909,922,930,942,950,953,967,974,982,988,999,1002,1012,1024,1031,1042,1051,1059,1070,1078,1079,1094,1097,1111,1114,1129,1138,1139,1153,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,23,27,39,46,56,64,76,78,90,95,105,111,126,133,140,150,156,165,171,318,326,332,336,344,355,368,370,384,391,401,408,418,429,431,441,463,603,610,623,629,642,647,655,666,676,681,690,699,705,717,727,735,740,748,761,765,776,788,792,803,810,821,827,839,843,854,857,865,875,890,895,902,911,922,926,941,949,954,961,973,982,992,994,1008,1012,1026,1033,1044,1047,1059,1064,1072,1082,1087,1098,1112,1120,1126,1133,1139,1148,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,29,39,49,58,60,73,85,87,101,110,115,124,135,137,149,161,166,173,316,318,333,340,344,357,365,370,386,390,403,406,413,426,433,441,462,606,615,621,627,635,650,655,664,677,680,693,703,706,718,727,733,742,750,761,770,773,780,791,799,811,821,828,834,842,850,865,866,876,888,895,905,913,917,927,939,944,957,966,971,982,990,1002,1008,1018,1019,1029,1040,1052,1056,1063,1076,1083,1088,1102,1105,1117,1123,1135,1146,1154,1162,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,29,36,47,54,62,71,81,92,96,107,113,121,131,137,151,161,166,176,314,320,329,343,344,355,368,372,381,393,399,409,413,425,434,445,600,609,612,622,631,643,648,658,668,670,678,690,699,706,716,725,731,740,751,759,770,777,782,790,799,806,821,825,832,844,855,860,870,876,884,899,905,911,923,926,937,947,951,966,972,983,986,999,1010,1014,1020,1035,1038,1051,1058,1067,1074,1084,1090,1100,1111,1119,1122,1133,1145,1147,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,27,36,45,57,60,74,82,93,95,105,114,126,130,139,153,158,167,178,198,320,332,336,347,359,366,376,382,390,395,406,413,428,431,442,448,607,610,623,628,635,649,653,668,673,684,687,700,711,715,727,732,745,751,755,766,771,784,792,802,814,817,830,832,841,852,858,867,881,889,896,901,916,918,926,936,948,951,965,968,977,987,996,1010,1016,1020,1029,1044,1045,1061,1066,1073,1084,1091,1102,1111,1117,1130,1131,1144,1147,1160,1165,1177	0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,11,25,29,40,46,52,66,68,81,90,98,106,115,125,133,137,152,159,162,178,179,320,327,336,348,355,364,369,379,388,397,410,416,426,431,445,463,609,611,625,628,641,644,659,662,673,685,694,701,704,712,724,729,741,752,761,769,775,782,797,800,809,822,825,832,841,852,858,867,879,887,892,901,908,921,933,941,946,951,966,972,980,985,1000,1007,1017,1027,1030,1037,1050,1056,1065,1077,1080,1095,1100,1107,1113,1123,1134,1146,1151,1163,1169	1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,12,17,28,41,47,51,64,75,80,93,100,109,114,126,130,138,146,158,165,172,184,320,330,341,351,356,366,376,385,390,400,405,412,422,436,440,598,607,613,620,630,638,644,657,663,675,682,692,697,704,717,724,732,744,746,755,769,776,780,795,804,814,822,830,836,843,851,858,867,877,885,898,904,908,917,931,935,948,951,960,970,981,990,1001,1003,1013,1021,1030,1044,1051,1058,1065,1072,1082,1092,1102,1108,1116,1122,1134,1139,1149,1162,1168	1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
5,15,21,29,34,45,58,65,75,79,87,102,108,114,122,130,142,151,159,164,171,193,326,329,339,348,354,369,370,380,394,396,407,416,422,431,437,597,607,617,619,634,639,644,658,668,675,684,686,700,709,718,726,732,743,748,759,764,774,788,794,799,813,818,830,831,842,848,862,867,877,883,899,908,910,925,933,938,949,951,966,973,982,985,997,1005,1013,1022,1034,1042,1047,1054,1063,1073,1080,1091,1101,1106,1115,1130,1136,1146,1153,1161,1170,1178	0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,11,20,26,42,44,53,65,74,79,91,101,108,117,126,131,137,150,156,166,174,186,325,327,336,344,357,366,373,380,388,399,410,413,426,436,443,599,606,614,620,633,636,648,660,661,672,680,690,702,707,716,728,735,739,753,758,767,774,788,795,800,806,817,826,834,841,849,865,867,875,883,898,904,911,925,931,936,946,951,964,969,980,986,998,1009,1013,1024,1031,1043,1050,1054,1068,1078,1085,1088,1098,1108,1117,1123,1133,1145,1148,1157,1170	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,18,30,39,45,58,64,72,82,93,96,105,114,124,131,139,149,154,165,177,180,321,329,338,346,360,361,370,380,387,395,409,412,425,437,442,599,607,613,622,634,635,651,656,665,669,682,690,699,711,716,722,733,740,748,755,771,774,786,789,797,810,822,825,839,845,852,865,871,881,886,891,907,913,924,927,938,946,952,965,971,982,989,1000,1003,1014,1027,1032,1039,1048,1055,1070,1073,1080,1093,1097,1112,1114,1129,1131,1140,1152,1160,1169,1175	1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,21,30,37,47,52,61,69,79,91,101,104,115,120,132,139,148,158,167,176,179,320,331,342,352,353,363,377,382,391,400,406,413,423,430,445,598,603,617,621,627,638,648,660,661,673,681,687,695,711,719,727,730,741,753,755,763,775,785,791,802,809,815,828,832,845,850,864,871,877,889,892,907,916,919,932,936,943,958,966,974,985,989,998,1009,1018,1025,1028,1040,1048,1058,1067,1073,1087,1096,1100,1108,1118,1128,1134,1144,1148,1156,1169	1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,12,24,27,34,46,53,63,73,84,90,102,108,113,124,135,141,150,158,166,174,317,323,327,342,349,360,366,375,386,392,402,408,417,428,431,442,466,601,612,618,627,641,650,656,664,670,682,694,695,705,714,728,730,739,746,762,764,772,784,790,804,812,819,830,839,845,851,857,869,879,889,895,904,915,924,928,935,946,958,963,974,978,986,997,1002,1013,1027,1028,1043,1050,1053,1066,1071,1084,1093,1099,1108,1116,1126,1134,1143,1148,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,23,29,39,43,57,65,75,77,93,94,107,111,122,131,139,149,161,164,178,195,320,330,337,351,356,367,372,383,395,402,408,415,427,431,442,596,608,617,626,633,641,647,657,664,675,682,690,696,710,716,723,734,744,748,761,768,778,785,791,797,807,817,829,833,843,849,864,873,877,886,898,900,914,917,931,940,943,952,966,976,981,987,994,1009,1013,1020,1033,1040,1049,1059,1065,1072,1086,1088,1097,1105,1117,1126,1130,1146,1153,1162,1168	1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,12,20,27,40,46,53,65,72,84,91,97,109,111,124,132,138,148,154,170,173,180,322,331,343,352,357,362,370,385,394,395,407,413,426,432,445,600,606,611,622,627,639,645,655,666,674,679,691,702,704,712,720,732,740,749,762,767,774,788,791,802,812,817,830,833,847,849,861,865,876,887,895,907,914,918,932,941,948,954,963,975,983,989,996,1005,1012,1025,1032,1037,1051,1057,1068,1077,1085,1092,1100,1105,1116,1126,1136,1145,1149,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,9,23,26,35,49,58,66,68,84,91,101,110,113,122,133,144,150,158,169,171,182,323,327,341,349,360,362,370,384,390,402,407,415,423,437,443,596,607,611,623,628,638,650,655,664,674,686,694,696,711,712,722,729,744,750,759,767,779,783,791,802,814,822,826,837,840,848,860,868,882,889,896,906,908,920,931,936,949,957,961,974,983,990,1000,1007,1018,1025,1028,1038,1045,1054,1070,1073,1084,1089,1099,1109,1116,1122,1136,1144,1152,1163,1171,1175	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,23,31,40,46,57,63,76,80,91,102,103,116,120,129,144,152,156,166,178,185,318,331,339,349,356,367,374,386,392,398,407,417,425,433,443,597,604,614,619,629,643,649,658,662,673,680,687,699,709,719,721,734,743,746,755,763,778,782,796,805,810,815,824,832,840,856,861,871,879,883,892,901,914,924,933,935,948,955,961,969,983,986,999,1008,1011,1024,1027,1043,1046,1059,1064,1076,1080,1095,1104,1110,1117,1125,1138,1145,1153,1156,1166	1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,21,27,42,49,58,62,69,78,91,94,107,116,126,134,137,145,156,164,175,182,321,335,338,349,353,367,375,383,391,402,405,417,424,429,439,596,604,609,619,631,642,644,657,668,673,679,689,696,705,713,725,736,737,747,762,763,779,783,794,797,811,815,830,839,844,852,862,865,875,887,892,907,911,919,932,940,948,953,967,968,979,987,1000,1003,1017,1026,1033,1036,1049,1061,1065,1077,1085,1092,1096,1110,1120,1126,1132,1145,1148,1156,1171,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1
4,13,25,32,37,49,58,66,75,78,88,99,103,114,120,134,137,149,158,164,179,189,325,333,342,350,357,367,369,380,390,400,405,416,421,432,445,448,606,610,625,631,641,645,654,667,673,681,690,701,710,713,724,737,739,754,756,765,776,787,789,803,811,820,825,836,841,850,865,870,881,884,895,906,916,917,926,938,947,958,964,975,979,987,1001,1004,1011,1026,1035,1041,1050,1058,1063,1075,1081,1092,1097,1110,1117,1126,1138,1146,1151,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,20,26,38,44,51,65,74,83,89,96,105,114,121,133,136,145,157,167,178,318,324,334,339,346,354,366,376,386,390,400,407,420,424,435,444,597,605,616,623,633,640,651,655,661,672,678,693,700,710,718,722,732,739,753,757,770,774,782,788,804,811,819,823,834,846,849,864,873,880,886,896,900,913,917,931,934,943,957,967,975,976,991,1001,1010,1016,1023,1028,1043,1048,1058,1069,1075,1083,1090,1101,1105,1121,1122,1132,1141,1155,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,30,37,46,55,62,70,81,93,99,110,113,120,135,140,146,160,164,170,316,320,326,337,347,360,367,373,383,393,401,411,419,428,433,446,448,607,612,623,627,636,647,658,665,672,685,688,696,708,715,724,735,737,748,757,766,774,784,792,802,813,819,825,836,840,856,864,873,876,890,897,907,909,917,926,937,943,953,967,975,980,992,998,1002,1016,1022,1031,1040,1046,1059,1064,1077,1080,1095,1099,1110,1114,1123,1138,1145,1150,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,25,39,46,59,62,73,83,92,98,104,115,121,134,142,147,157,168,175,317,321,332,343,346,360,361,374,378,387,395,404,412,421,435,443,599,601,611,620,628,641,647,659,668,673,679,686,701,703,719,724,729,741,747,763,770,780,788,792,803,809,814,824,832,840,849,860,871,881,891,896,900,909,924,931,936,950,953,961,975,984,989,999,1006,1013,1024,1029,1039,1046,1061,1066,1076,1087,1091,1100,1108,1117,1123,1131,1143,1148,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,25,26,37,45,53,65,74,83,87,94,107,119,124,132,142,147,161,170,176,315,324,328,343,350,355,367,371,382,388,397,409,420,421,432,440,600,601,614,626,632,639,647,660,667,677,685,691,698,706,719,728,730,740,751,761,771,779,786,791,797,808,816,825,834,845,849,863,867,881,882,892,904,913,919,928,940,947,958,967,968,981,993,996,1007,1019,1027,1032,1043,1045,1053,1070,1077,1081,1095,1101,1106,1116,1126,1138,1145,1151,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,31,37,49,52,67,75,78,92,98,102,115,119,136,141,150,160,168,174,316,321,329,342,347,355,367,372,386,388,396,405,417,425,437,441,599,608,617,626,632,641,650,654,667,675,682,693,699,710,713,727,737,739,751,760,763,773,780,792,802,806,819,823,834,844,853,861,871,877,889,897,905,915,917,929,940,943,952,967,968,982,989,995,1003,1015,1026,1031,1042,1048,1059,1065,1072,1086,1094,1097,1107,1114,1124,1137,1140,1151,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,28,39,49,54,62,68,78,92,96,107,117,123,136,141,149,156,165,174,317,319,326,343,351,357,364,377,384,391,400,410,416,425,432,442,596,601,615,625,634,643,651,655,664,671,681,687,699,708,719,725,730,745,748,757,766,776,781,791,798,809,819,823,836,846,852,862,865,881,887,893,901,916,924,931,941,950,952,964,968,982,990,996,1002,1013,1024,1035,1042,1051,1058,1067,1071,1082,1088,1102,1111,1116,1130,1138,1144,1151,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,32,42,50,52,60,70,77,92,102,109,112,126,136,145,148,155,163,172,314,318,327,336,348,359,367,373,381,393,400,407,418,424,432,443,597,605,613,620,627,642,651,656,667,674,683,688,702,711,719,725,731,746,748,760,763,778,783,788,804,813,815,828,838,843,852,859,869,876,887,898,900,909,916,929,937,947,951,966,974,979,992,998,1006,1015,1023,1032,1037,1050,1055,1063,1071,1081,1088,1098,1105,1117,1128,1132,1139,1147,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,31,35,42,56,60,69,81,93,96,103,113,126,133,144,149,155,163,177,317,321,330,342,344,359,361,373,381,391,403,410,418,425,434,442,598,601,613,622,629,636,649,658,660,675,681,694,695,705,713,725,734,739,747,762,769,776,782,792,800,808,816,827,834,846,851,863,872,880,882,898,901,911,919,931,934,946,953,963,974,983,986,999,1002,1015,1024,1032,1040,1050,1058,1069,1074,1086,1090,1102,1112,1116,1128,1131,1143,1152,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,33,38,50,58,65,76,84,91,94,108,116,123,133,142,153,159,167,178,180,326,333,340,349,356,363,376,382,394,398,407,416,420,430,440,596,603,614,618,631,637,650,654,664,677,685,691,699,710,712,724,729,738,752,755,765,776,781,791,800,813,822,827,835,846,854,862,873,875,888,897,901,911,917,932,935,948,956,964,972,982,990,1000,1010,1013,1024,1035,1043,1048,1056,1070,1071,1085,1092,1104,1110,1114,1122,1138,1140,1154,1160,1166,1175	0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,11,18,30,37,47,55,60,73,79,91,96,105,111,124,136,137,148,156,168,178,317,323,334,337,344,358,368,374,386,392,395,407,414,428,434,446,599,607,617,621,630,638,645,660,667,677,680,690,695,704,719,728,732,737,748,760,768,775,786,795,798,808,815,827,833,845,856,860,869,878,883,898,904,913,925,932,936,949,959,960,969,981,992,1000,1008,1017,1023,1035,1041,1052,1054,1068,1074,1085,1087,1099,1105,1114,1121,1138,1143,1153,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,26,36,44,53,65,70,81,90,100,107,114,125,134,144,151,156,167,173,316,319,327,339,350,355,365,375,384,394,399,404,416,424,435,444,596,607,610,622,629,636,651,653,663,671,677,688,697,706,718,727,733,745,750,760,767,778,786,795,801,813,816,823,836,841,850,862,868,880,883,892,908,909,922,925,938,947,953,960,971,981,988,995,1006,1014,1024,1030,1041,1045,1055,1064,1076,1087,1095,1103,1112,1118,1124,1131,1146,1150,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,24,32,41,51,55,68,71,78,87,102,109,116,124,129,143,145,154,162,173,316,318,327,338,346,360,363,372,384,388,403,411,412,423,433,438,468,604,613,618,627,635,645,654,664,676,678,692,702,708,718,721,732,738,748,760,765,778,780,793,802,806,819,830,835,843,852,863,873,874,887,896,906,915,922,930,938,946,957,965,973,982,990,997,1006,1016,1027,1033,1044,1047,1059,1067,1077,1084,1088,1100,1108,1121,1127,1134,1141,1154,1162,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,26,40,51,58,59,68,81,92,99,107,113,122,131,140,150,160,170,172,317,321,331,343,348,358,365,373,378,393,395,409,419,426,436,437,596,604,612,626,633,639,647,659,663,670,682,688,702,710,717,722,730,739,752,755,770,778,788,793,799,808,814,824,833,846,853,865,870,880,883,894,901,915,921,928,935,945,957,967,971,982,993,1000,1007,1019,1026,1030,1037,1049,1058,1070,1073,1082,1094,1098,1104,1119,1126,1133,1143,1147,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,33,40,45,52,64,75,80,86,100,110,114,123,135,143,148,155,163,172,185,318,331,341,346,359,365,377,381,388,403,410,412,425,436,443,600,601,611,618,629,636,644,660,661,674,682,689,703,704,714,721,734,742,746,758,763,778,788,794,798,807,817,826,836,845,853,863,873,882,888,895,904,912,919,930,934,945,953,961,971,982,991,994,1004,1017,1023,1032,1038,1048,1056,1066,1079,1087,1088,1104,1109,1121,1126,1132,1139,1150,1162,1169,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,14,17,33,42,45,51,63,68,84,86,98,104,116,121,131,142,151,159,169,171,317,318,327,336,346,356,366,373,384,391,401,411,414,426,434,438,455,605,616,620,633,641,644,652,665,674,680,687,701,709,719,720,732,744,752,755,771,778,784,791,804,813,814,828,834,840,852,862,872,875,885,892,901,913,923,926,940,949,951,968,971,980,987,998,1002,1012,1027,1029,1044,1049,1056,1064,1076,1086,1094,1097,1107,1116,1128,1131,1147,1150,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,28,42,48,55,66,73,84,88,101,104,115,122,132,144,151,161,168,177,316,320,331,337,350,360,361,375,382,394,402,412,417,420,433,446,462,604,616,622,634,639,652,654,663,671,679,686,696,709,716,724,735,744,750,760,763,779,782,792,800,814,815,830,839,842,855,863,867,882,885,897,901,912,921,929,938,946,953,964,972,980,986,996,1008,1011,1024,1034,1037,1053,1060,1063,1070,1081,1095,1104,1107,1114,1129,1131,1146,1150,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,19,31,41,45,54,62,72,77,91,96,104,114,121,129,144,148,161,167,178,313,318,329,341,345,360,365,377,379,393,401,408,418,428,432,442,596,604,611,618,633,637,651,659,664,675,684,688,695,709,719,721,733,738,747,761,768,778,786,791,805,806,819,823,838,841,852,857,871,876,882,896,905,912,921,930,938,945,954,965,971,977,991,994,1010,1017,1019,1033,1038,1045,1058,1067,1076,1081,1087,1103,1110,1114,1123,1132,1140,1147,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,33,41,43,53,63,72,81,92,95,104,113,124,131,144,145,157,164,177,313,324,334,340,347,352,369,374,380,387,397,407,416,421,435,444,597,600,613,626,631,642,645,657,668,673,683,687,703,706,717,728,729,742,750,761,764,772,783,795,804,812,821,831,838,845,854,862,871,879,890,892,908,912,923,927,936,946,959,967,970,981,990,998,1008,1016,1023,1034,1038,1050,1054,1068,1072,1082,1093,1103,1111,1115,1122,1135,1141,1149,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,32,36,46,59,63,74,80,92,100,103,114,120,133,136,150,153,164,175,317,318,332,337,345,355,364,375,384,389,397,408,417,426,429,443,597,602,613,622,629,636,643,657,667,677,680,687,696,706,715,720,730,741,746,754,765,776,788,792,797,809,822,823,837,844,852,861,873,877,888,893,904,915,917,930,937,943,952,963,973,979,988,1001,1006,1016,1022,1032,1037,1048,1057,1070,1072,1084,1089,1099,1104,1115,1123,1138,1140,1151,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,34,40,45,51,63,70,78,93,98,104,117,126,135,142,149,159,166,172,316,325,331,336,348,356,369,376,383,388,403,408,417,423,435,440,599,604,615,622,629,643,645,654,668,672,682,692,695,707,713,727,730,743,749,756,771,776,783,792,802,811,816,824,839,843,854,862,869,880,886,898,902,911,922,928,934,944,957,967,973,981,990,995,1007,1018,1023,1031,1040,1048,1053,1065,1073,1081,1091,1097,1113,1120,1124,1135,1141,1149,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,18,25,40,43,51,68,75,84,86,99,106,117,121,129,137,149,159,162,174,316,322,331,337,350,354,366,378,386,394,403,410,414,420,432,445,599,609,610,619,627,637,645,657,666,670,679,692,696,709,718,723,731,740,754,757,765,777,786,789,799,809,819,825,837,846,850,865,868,875,883,893,901,909,920,928,938,948,953,963,973,978,993,996,1005,1016,1026,1033,1040,1046,1056,1066,1072,1079,1089,1099,1113,1117,1127,1138,1147,1150,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,22,28,36,46,56,65,73,84,89,94,103,114,122,132,139,146,160,168,177,316,322,330,336,351,360,361,375,383,390,398,411,420,425,433,444,597,603,617,620,629,637,651,660,663,671,684,693,696,705,712,728,734,740,749,761,766,776,783,791,801,814,820,828,835,847,850,861,866,878,884,893,906,910,922,929,939,943,957,962,969,978,988,997,1010,1016,1027,1035,1043,1046,1059,1070,1076,1084,1088,1100,1109,1117,1122,1130,1146,1148,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,33,36,49,59,64,72,77,87,101,108,111,126,131,144,148,160,169,171,316,320,331,337,351,353,367,372,381,387,402,411,417,422,433,444,449,604,612,618,629,638,650,657,665,671,684,690,702,711,713,724,732,743,747,757,770,775,780,789,801,812,821,830,834,841,849,859,873,874,883,893,903,916,921,930,936,944,954,963,968,982,992,1001,1004,1013,1023,1029,1036,1049,1053,1064,1070,1087,1090,1100,1107,1113,1130,1135,1145,1155,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,33,37,44,59,64,72,78,87,100,108,115,120,130,137,146,156,168,172,314,325,329,337,352,354,367,373,383,390,395,409,413,427,432,440,448,609,610,626,635,639,650,656,663,671,685,688,694,707,719,726,734,740,752,755,767,777,787,795,800,809,819,831,833,848,856,862,872,875,891,898,900,909,917,930,938,948,958,965,969,985,986,996,1009,1016,1025,1034,1042,1051,1059,1062,1078,1087,1091,1101,1112,1120,1125,1133,1142,1148,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,18,30,42,49,56,66,69,79,86,101,105,118,120,128,139,145,161,167,178,313,323,331,341,352,359,362,372,381,387,398,406,415,424,437,442,596,609,613,618,633,637,651,656,662,675,683,693,700,710,717,726,734,738,752,757,765,778,788,795,800,810,821,830,832,842,850,862,867,876,884,892,901,912,919,929,938,945,953,963,971,981,985,1000,1009,1012,1024,1030,1039,1051,1054,1063,1077,1081,1091,1103,1111,1115,1125,1133,1143,1149,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,17,33,42,47,53,60,72,81,86,96,104,116,123,136,139,151,158,164,177,317,323,329,337,346,358,367,374,378,392,402,409,413,427,432,438,600,603,612,621,626,638,646,653,661,671,683,686,697,704,718,724,734,741,747,760,771,780,787,790,802,810,822,823,838,842,849,864,867,877,889,897,900,911,921,930,935,942,954,966,972,976,991,994,1008,1019,1027,1032,1037,1052,1055,1062,1074,1086,1088,1098,1109,1118,1128,1136,1144,1148,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,20,27,39,49,53,62,76,85,91,94,103,119,121,134,137,146,157,167,173,185,320,328,341,345,354,366,375,382,391,399,405,417,426,435,441,600,602,609,621,627,641,649,652,666,671,680,687,696,705,712,724,735,742,752,758,764,771,786,790,805,808,819,830,838,846,855,860,866,880,884,898,903,915,923,925,941,945,955,965,974,980,991,997,1002,1019,1021,1032,1036,1053,1054,1069,1075,1083,1088,1099,1107,1119,1122,1133,1144,1148,1159,1171,1177	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,9,24,27,37,49,53,62,71,81,92,100,103,117,125,133,142,150,154,165,176,182,319,328,337,348,352,363,376,379,394,402,407,416,425,430,439,600,601,609,623,632,642,644,653,662,672,681,688,702,711,712,728,733,740,753,761,766,778,788,793,805,813,817,829,837,847,856,865,873,875,886,895,902,914,920,927,934,949,959,964,968,977,990,996,1009,1019,1025,1034,1039,1051,1053,1069,1071,1082,1092,1096,1111,1121,1127,1130,1140,1151,1164,1166	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0
4,15,17,33,41,44,53,65,73,79,88,95,104,113,122,129,142,147,157,163,174,313,319,329,338,352,356,368,374,379,389,395,411,413,423,430,445,599,608,609,621,634,635,645,660,661,673,681,694,695,709,720,727,731,737,754,762,771,775,785,795,804,808,816,829,839,847,856,857,870,879,883,891,905,909,925,927,938,950,955,960,970,981,989,997,1006,1013,1025,1029,1044,1052,1057,1065,1074,1082,1091,1103,1111,1118,1130,1138,1139,1147,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
4,13,23,33,38,43,59,62,71,80,92,93,105,117,124,132,137,148,158,167,175,184,319,334,338,347,352,368,375,380,392,401,411,419,425,437,443,462,608,616,620,630,639,646,657,667,669,678,694,699,710,719,724,730,742,750,761,768,777,784,790,800,808,820,823,835,840,852,861,872,878,889,898,904,916,924,929,934,945,954,963,969,981,993,1002,1004,1012,1027,1028,1041,1048,1058,1066,1076,1087,1093,1102,1110,1113,1122,1135,1143,1155,1158,1172,1174	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,19,31,38,47,52,64,73,77,92,101,107,116,126,131,142,145,157,170,174,180,326,333,343,352,355,363,370,382,392,401,409,420,423,433,446,465,607,610,618,633,638,650,656,664,674,685,687,702,709,717,722,733,744,747,762,765,776,787,793,800,812,816,825,837,845,853,857,872,877,889,894,905,914,924,929,940,946,959,960,971,984,992,1001,1009,1017,1022,1029,1039,1049,1061,1065,1077,1087,1089,1103,1107,1113,1129,1131,1138,1152,1162,1167,1174	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,17,31,36,46,52,63,76,84,92,93,108,112,120,131,142,148,154,169,177,184,325,328,335,347,359,366,373,383,387,399,406,414,422,433,445,469,601,614,622,634,640,651,652,664,674,679,691,696,711,719,728,736,742,750,755,763,778,784,790,802,807,820,831,834,848,851,859,870,882,887,896,907,916,917,930,934,944,953,967,973,983,988,997,1007,1018,1019,1030,1037,1052,1053,1064,1072,1083,1094,1102,1110,1113,1129,1133,1141,1153,1161,1165,1174	1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0
0,11,23,30,38,51,52,61,73,78,89,102,103,113,123,135,142,150,161,163,175,182,321,329,337,348,356,364,376,381,394,402,407,417,426,437,444,456,608,613,621,628,641,647,655,666,673,681,688,695,704,716,726,734,744,749,756,766,778,781,788,800,809,819,823,838,843,849,861,866,874,889,892,902,909,924,928,937,948,952,967,970,984,992,994,1007,1011,1022,1035,1041,1046,1059,1069,1071,1085,1092,1101,1105,1113,1129,1134,1140,1149,1157,1170	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,24,27,34,46,52,63,76,85,93,95,102,113,124,131,139,151,161,166,172,192,322,330,337,348,353,361,375,383,395,397,405,415,428,432,438,447,605,611,624,633,636,651,660,664,674,680,692,696,706,719,726,731,744,748,757,771,776,788,795,799,809,821,823,834,847,855,860,869,877,885,897,902,915,919,928,936,944,959,966,971,977,993,994,1010,1012,1024,1033,1044,1046,1055,1065,1074,1080,1095,1100,1109,1119,1128,1135,1145,1151,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,14,21,29,35,43,59,61,75,81,87,95,110,112,123,128,142,148,156,164,177,313,319,328,338,349,359,364,377,384,392,399,404,416,423,435,443,599,605,610,622,633,636,647,652,668,674,681,689,695,705,712,726,734,739,748,763,771,774,780,794,801,809,821,826,835,840,849,864,872,879,883,896,904,912,923,929,936,944,952,967,970,983,991,1001,1010,1016,1024,1030,1042,1045,1061,1066,1077,1086,1089,1096,1107,1115,1126,1131,1140,1150,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,25,30,34,45,54,63,72,77,91,96,109,114,123,131,140,153,156,163,176,183,320,333,340,352,353,369,376,384,394,397,405,415,425,430,442,462,606,610,623,632,639,650,655,666,670,686,694,699,711,716,728,730,746,750,762,764,778,786,789,802,808,821,827,839,847,855,864,868,875,883,893,905,912,925,929,942,947,953,968,974,979,985,997,1008,1017,1023,1036,1041,1045,1058,1067,1073,1086,1093,1098,1112,1119,1123,1132,1139,1148,1163,1171,1174	0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,18,31,37,46,51,66,71,78,90,99,110,113,119,129,143,147,158,166,174,184,320,335,343,347,360,366,372,385,389,396,409,416,424,429,447,600,601,616,618,630,641,651,656,664,669,682,691,703,704,715,722,733,744,746,760,766,778,785,792,799,810,817,825,831,848,856,859,870,881,885,895,902,914,919,928,939,948,953,962,970,977,989,994,1003,1018,1021,1036,1044,1048,1056,1069,1077,1082,1092,1100,1106,1117,1129,1131,1147,1153,1163,1170,1178	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,18,25,40,50,55,61,70,83,91,98,104,119,122,133,144,145,155,164,175,186,322,329,335,345,354,362,370,380,392,403,412,413,422,433,438,598,602,609,621,630,635,645,656,666,669,685,686,701,703,713,721,729,742,753,758,768,775,784,794,805,806,817,825,838,845,852,858,867,878,884,896,907,912,917,933,939,946,955,960,969,985,992,1001,1006,1012,1022,1029,1042,1051,1056,1068,1073,1079,1094,1100,1105,1117,1123,1132,1141,1151,1159,1165,1173	1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,15,19,29,36,48,55,63,75,83,88,95,105,112,122,128,140,153,154,165,171,181,321,331,340,347,359,365,371,380,387,402,411,412,424,432,443,599,607,614,625,634,638,644,655,665,675,685,690,701,708,720,722,735,739,751,754,767,775,780,788,799,806,822,830,835,840,851,859,872,881,887,897,907,913,923,927,935,946,958,966,968,982,986,993,1009,1011,1023,1030,1040,1049,1054,1067,1070,1082,1093,1096,1110,1118,1128,1132,1147,1150,1160,1165,1175	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,10,23,31,39,46,53,65,70,84,91,102,104,114,125,128,138,153,159,166,178,186,322,334,342,348,360,365,370,380,387,397,409,417,424,429,444,598,606,616,621,634,639,645,654,665,675,685,691,696,709,718,727,731,746,748,756,766,777,788,792,797,806,820,828,839,846,851,858,872,875,888,897,902,912,921,931,936,943,958,960,973,984,989,997,1004,1018,1020,1033,1042,1049,1054,1065,1072,1087,1092,1099,1108,1113,1125,1138,1140,1148,1156,1166,1178	1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,24,28,40,49,57,64,74,80,86,97,106,111,125,132,138,147,156,167,174,184,319,329,339,347,358,362,373,385,391,395,404,414,425,430,444,596,602,616,618,633,640,651,653,665,673,685,688,700,706,717,729,735,745,748,757,769,779,787,789,802,807,818,823,834,847,855,863,868,875,885,897,901,908,921,932,942,948,956,963,969,980,992,1000,1006,1016,1025,1036,1037,1049,1053,1063,1074,1086,1087,1103,1107,1116,1128,1131,1140,1148,1157,1166,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,8,21,30,36,47,55,68,69,79,92,97,106,113,120,130,144,145,159,166,175,317,326,329,343,350,355,361,371,384,392,403,412,414,422,436,444,599,604,614,620,633,638,644,659,663,670,680,690,702,705,712,723,736,741,747,761,769,773,784,794,804,812,822,823,838,843,851,862,867,882,885,899,901,909,917,932,936,947,957,961,970,978,991,999,1003,1012,1022,1032,1039,1049,1056,1070,1075,1086,1089,1101,1108,1113,1123,1132,1146,1149,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,29,41,49,54,65,74,80,90,96,105,111,122,130,138,147,161,167,178,316,323,329,339,345,354,364,377,382,391,401,404,415,425,429,446,597,602,612,620,633,642,647,660,667,673,685,687,700,709,716,725,737,738,753,759,766,772,780,793,797,813,817,830,832,848,849,864,869,880,883,891,906,914,920,930,940,943,953,966,975,983,990,997,1009,1011,1020,1035,1043,1051,1054,1070,1075,1081,1094,1097,1107,1113,1130,1137,1139,1153,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,26,36,42,58,62,71,79,86,99,109,113,122,132,143,147,154,163,175,317,322,326,337,350,356,367,377,383,390,403,410,413,425,436,444,599,604,615,623,629,637,652,659,664,677,678,690,697,709,717,728,734,744,752,761,770,772,785,794,798,812,815,830,835,845,848,864,873,874,885,896,906,910,918,933,940,945,952,960,970,980,991,1000,1009,1017,1023,1035,1044,1048,1061,1070,1073,1082,1087,1098,1108,1115,1125,1131,1146,1152,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,18,27,39,42,57,68,69,82,90,100,107,111,120,132,136,152,159,165,171,316,319,331,342,344,358,367,374,381,389,397,409,420,422,430,446,597,608,613,623,631,636,649,658,666,670,684,688,695,706,719,727,734,740,750,757,770,777,783,791,798,812,818,824,835,840,851,865,870,881,886,893,903,912,925,929,935,946,954,967,974,977,992,998,1005,1019,1025,1033,1042,1046,1056,1064,1078,1081,1094,1098,1108,1120,1130,1138,1141,1154,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,31,34,49,52,65,72,80,87,96,105,115,125,130,136,152,161,163,176,315,322,329,338,347,353,369,377,382,386,400,407,416,421,429,445,600,601,616,619,633,641,648,653,662,672,682,688,695,709,716,724,736,744,749,760,766,774,785,790,804,805,819,830,838,841,849,864,873,875,885,895,906,912,919,928,935,949,957,962,974,981,991,996,1005,1012,1023,1033,1044,1047,1058,1069,1075,1086,1088,1101,1107,1119,1122,1132,1145,1153,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,32,41,50,53,64,69,81,90,94,103,112,121,131,143,153,154,164,174,313,321,329,341,344,356,367,373,380,393,400,407,418,421,435,438,598,608,613,622,626,635,646,653,661,674,682,687,699,710,713,724,734,739,751,757,770,775,786,794,797,807,814,826,832,841,852,862,865,874,888,897,901,910,920,929,939,944,952,961,972,980,989,994,1003,1018,1022,1031,1038,1052,1060,1069,1077,1082,1095,1098,1107,1121,1129,1133,1141,1150,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,21,30,35,50,51,65,69,82,93,97,106,115,126,129,139,152,158,169,174,314,320,326,341,351,359,361,370,385,389,395,411,420,424,429,442,460,607,612,619,630,635,650,655,667,675,679,687,699,709,714,722,736,739,752,755,763,777,786,791,802,807,818,826,835,841,848,858,871,880,884,897,904,909,921,928,940,948,953,961,975,980,988,996,1005,1014,1027,1035,1038,1052,1058,1062,1070,1084,1095,1104,1111,1120,1129,1130,1144,1148,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,25,37,49,52,65,73,85,92,100,106,117,125,130,141,150,159,168,170,315,318,329,337,350,353,369,377,382,391,401,404,418,423,429,446,450,607,610,619,633,643,647,654,666,671,683,690,702,711,720,723,734,742,753,756,763,775,781,792,805,807,819,828,831,846,849,858,873,874,885,896,906,910,919,932,938,945,955,966,971,980,992,997,1003,1011,1027,1030,1039,1048,1058,1066,1076,1080,1094,1097,1106,1117,1122,1137,1141,1151,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,29,36,50,52,65,75,80,93,95,110,113,120,129,137,147,157,169,179,182,320,329,342,346,357,368,374,382,392,395,408,414,425,429,441,447,607,612,619,633,641,650,652,668,673,680,692,702,704,716,726,731,737,747,756,767,779,784,794,801,809,819,826,837,847,855,864,871,874,887,899,907,911,923,933,942,943,954,963,974,980,989,1001,1007,1018,1023,1029,1044,1046,1054,1062,1070,1083,1093,1104,1110,1119,1124,1138,1142,1155,1163,1171,1174	0,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,24,27,39,46,53,67,73,78,85,96,104,114,124,133,139,148,156,163,179,315,321,333,336,348,353,366,371,381,391,395,409,413,426,436,445,452,605,609,618,633,636,644,660,666,674,684,689,699,710,716,727,730,744,751,757,769,774,781,793,803,813,815,825,834,840,850,865,872,875,888,894,902,916,917,930,936,948,953,965,974,979,987,996,1008,1012,1021,1035,1043,1045,1054,1064,1075,1082,1092,1104,1106,1121,1122,1131,1146,1155,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,26,41,48,53,64,72,77,91,96,107,111,123,133,142,149,161,167,172,318,319,330,343,352,354,362,376,379,390,396,409,419,421,431,441,453,604,615,621,626,642,646,656,669,676,679,691,702,706,718,726,735,738,751,762,771,777,782,795,803,813,817,828,831,846,855,857,865,882,888,892,907,915,917,930,934,944,958,967,971,978,989,1001,1004,1017,1022,1028,1043,1047,1061,1066,1076,1082,1092,1104,1111,1113,1124,1136,1145,1149,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,29,36,43,54,66,75,79,89,98,108,111,125,129,142,146,157,169,175,314,325,334,336,345,358,364,377,381,393,396,409,412,428,432,441,457,604,614,622,629,642,647,658,664,673,681,690,701,709,716,726,733,739,753,762,768,773,785,790,800,811,815,825,835,844,854,860,867,880,883,899,904,913,925,933,936,950,957,961,974,978,991,998,1004,1015,1022,1032,1044,1050,1055,1064,1071,1081,1095,1097,1106,1115,1129,1134,1139,1150,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,26,42,45,56,64,76,81,90,99,108,113,122,129,141,146,157,163,172,313,319,330,341,347,358,363,369,386,387,401,407,412,423,429,443,468,607,612,619,627,642,645,660,666,669,684,693,703,708,719,723,730,738,753,756,764,775,782,796,801,810,820,830,836,844,855,864,866,876,888,891,906,911,920,930,934,944,951,959,968,985,989,997,1006,1018,1022,1033,1038,1049,1056,1063,1078,1081,1095,1103,1108,1114,1126,1133,1140,1149,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,30,38,51,54,65,75,81,93,96,108,116,126,128,139,149,153,169,175,186,323,333,337,348,352,367,373,379,389,402,408,419,425,430,439,451,608,613,625,626,637,645,655,662,676,679,687,698,709,718,722,730,740,748,759,764,777,782,792,804,809,818,823,832,847,854,864,870,879,884,894,903,909,923,931,942,948,955,960,971,982,993,1001,1007,1012,1024,1036,1040,1049,1061,1065,1073,1087,1094,1100,1105,1119,1129,1130,1145,1155,1157,1168,1177	1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,22,30,41,44,52,63,75,80,90,97,110,112,124,129,143,146,156,166,175,318,324,329,343,348,354,361,370,381,393,401,404,416,426,437,442,598,604,610,624,632,635,649,658,661,674,684,688,702,708,712,726,734,743,749,762,770,778,781,793,802,812,817,825,834,842,851,857,872,875,889,895,902,914,918,927,935,944,955,967,975,980,992,997,1002,1014,1025,1031,1041,1048,1058,1063,1072,1082,1091,1100,1110,1119,1125,1137,1142,1151,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,31,37,42,59,65,73,77,91,95,107,114,125,131,139,148,156,168,172,315,322,331,341,349,352,364,374,380,388,396,409,417,427,436,443,462,605,612,625,633,639,645,659,665,675,683,692,701,703,715,727,731,742,749,757,764,776,782,790,805,806,816,825,839,842,854,859,873,879,887,897,907,914,920,931,940,943,954,966,969,983,989,995,1008,1018,1026,1035,1038,1049,1059,1067,1075,1086,1089,1100,1110,1121,1130,1135,1140,1151,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,21,32,35,44,52,67,71,84,89,100,109,119,123,129,138,147,159,163,178,314,322,328,338,349,359,367,372,383,390,398,408,419,424,429,441,448,606,610,625,634,639,647,652,666,674,678,689,695,706,714,722,735,743,753,761,763,773,786,791,798,807,816,826,836,845,848,860,870,877,886,897,900,909,918,926,941,945,954,966,972,984,991,994,1006,1014,1022,1033,1044,1048,1054,1066,1071,1080,1090,1104,1108,1115,1126,1137,1142,1154,1156,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,27,41,47,55,63,73,83,86,96,107,113,119,133,140,151,157,162,178,315,324,328,339,352,359,366,371,384,394,398,403,412,421,434,442,599,608,610,622,627,636,650,652,666,677,685,689,701,706,714,727,731,744,750,760,770,776,782,795,805,810,819,827,835,840,851,857,865,879,882,893,903,910,921,929,934,950,959,967,972,983,993,994,1005,1015,1027,1032,1042,1046,1058,1065,1076,1085,1089,1097,1106,1118,1126,1135,1143,1149,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,26,36,50,54,62,70,83,90,102,106,112,123,131,138,145,156,167,178,317,323,334,339,350,352,362,373,378,392,397,404,415,426,434,441,463,608,617,623,628,639,651,657,662,676,677,689,698,711,712,723,732,738,753,762,771,774,786,795,800,807,817,828,834,848,855,859,873,880,882,899,908,912,921,928,936,943,952,962,972,984,987,1000,1009,1015,1027,1029,1036,1046,1060,1069,1072,1084,1093,1096,1106,1113,1123,1131,1147,1151,1163,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,27,41,49,53,67,70,83,93,97,104,114,122,135,138,149,157,170,178,317,321,327,340,345,360,364,371,386,391,400,408,415,424,432,438,465,607,611,623,631,637,644,652,669,677,678,691,701,704,718,724,730,740,751,759,768,778,783,796,798,812,816,829,832,844,852,863,870,877,887,892,903,911,917,928,937,947,952,963,971,984,985,995,1006,1014,1020,1028,1038,1049,1057,1068,1077,1082,1094,1097,1108,1118,1125,1133,1145,1151,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,17,33,35,43,52,60,69,77,85,101,105,118,122,129,143,145,155,165,175,316,325,329,336,344,353,368,370,385,391,396,404,413,425,429,442,597,606,609,620,627,639,648,654,667,671,685,689,696,710,716,722,734,740,752,754,766,780,787,789,804,809,820,823,838,847,849,863,870,879,884,895,902,908,921,932,935,944,955,959,973,984,988,1000,1003,1011,1027,1031,1043,1049,1060,1063,1075,1080,1090,1097,1109,1115,1125,1136,1144,1152,1156,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,31,39,45,54,63,70,84,86,96,104,118,119,133,140,152,160,165,171,317,321,329,336,350,360,366,375,386,395,398,408,420,424,430,438,447,605,610,620,626,643,645,654,664,676,679,694,701,705,714,723,736,740,753,760,771,775,786,791,805,808,820,826,833,840,853,861,873,880,888,899,908,911,921,931,936,947,955,960,972,979,987,1001,1007,1017,1024,1029,1044,1048,1054,1065,1077,1081,1094,1101,1112,1119,1127,1134,1143,1150,1160,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,31,36,47,58,65,69,81,88,96,103,118,119,128,142,147,157,163,174,314,321,335,336,346,356,364,373,385,389,398,404,418,426,430,440,467,604,617,626,631,639,644,660,667,672,680,693,695,705,712,720,734,738,754,762,767,777,782,790,804,811,819,827,834,843,849,862,867,878,888,897,906,915,916,929,937,946,951,964,973,979,990,996,1003,1018,1026,1034,1038,1048,1055,1062,1071,1085,1092,1101,1111,1116,1129,1136,1140,1155,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,29,41,48,57,65,75,77,88,99,103,112,120,134,138,146,155,169,171,316,323,330,339,345,359,364,376,385,388,398,406,416,425,434,439,599,608,611,622,634,638,645,655,663,674,685,690,696,704,718,726,735,739,753,755,767,774,783,789,803,810,820,826,833,841,850,864,867,881,884,892,900,913,919,928,939,945,958,961,976,979,988,997,1004,1015,1024,1034,1038,1052,1055,1062,1073,1083,1093,1102,1110,1115,1128,1137,1144,1149,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,28,35,44,53,67,70,79,88,100,103,113,126,130,144,151,158,163,177,314,318,335,336,348,354,361,371,384,392,400,409,420,425,432,440,597,603,614,623,629,643,647,652,669,674,682,691,701,708,716,721,732,738,746,762,769,777,788,793,804,809,817,824,837,843,849,857,865,878,883,899,901,912,916,925,936,944,958,962,974,981,987,997,1006,1013,1023,1032,1039,1048,1056,1067,1075,1083,1088,1104,1113,1118,1126,1138,1139,1152,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,25,40,47,58,68,70,84,87,101,105,114,125,131,142,150,158,170,173,317,322,328,340,352,357,367,370,378,388,396,412,413,422,435,445,469,606,616,619,634,638,645,658,663,673,680,689,697,709,718,724,737,745,750,755,764,778,786,794,804,812,821,831,836,841,852,859,872,882,886,896,899,914,924,931,936,944,959,968,971,980,985,999,1005,1017,1021,1028,1036,1049,1056,1070,1076,1087,1088,1098,1107,1118,1128,1134,1143,1154,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,26,37,42,55,67,68,79,91,98,107,113,119,131,144,150,159,162,175,198,322,329,337,345,353,364,373,385,393,399,404,413,427,436,438,448,601,612,618,631,638,648,657,663,671,678,687,699,711,720,722,729,739,751,757,767,771,788,793,798,812,822,829,832,846,853,860,865,876,884,894,905,915,920,925,941,944,951,967,971,978,992,997,1010,1014,1019,1035,1043,1045,1057,1066,1076,1083,1090,1104,1108,1115,1126,1133,1140,1154,1163,1167,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,10,20,26,37,44,55,65,74,77,89,95,110,114,123,132,141,150,155,168,177,181,319,334,338,347,360,367,376,386,391,400,411,420,427,430,443,456,605,611,624,626,637,647,653,661,672,684,690,696,710,719,723,730,743,746,763,768,773,783,792,800,808,820,831,835,845,850,857,873,877,887,899,906,914,923,931,937,951,954,967,972,978,990,999,1003,1019,1021,1028,1037,1046,1057,1067,1077,1086,1095,1103,1109,1120,1124,1138,1141,1149,1158,1170,1173	1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,15,18,29,37,48,56,60,76,79,85,95,109,117,126,135,140,147,160,169,178,185,326,329,337,348,359,368,377,380,389,396,403,413,429,436,439,596,607,615,621,633,643,648,656,662,674,680,688,701,704,716,728,734,739,749,762,763,773,788,794,798,809,815,824,832,840,851,859,873,881,890,895,907,912,924,926,942,946,951,960,974,982,990,998,1007,1011,1020,1030,1040,1047,1060,1068,1076,1083,1088,1097,1107,1114,1122,1130,1144,1151,1159,1164	1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
3,12,23,26,41,45,53,60,72,84,91,96,104,113,124,133,138,146,159,168,176,190,318,333,341,344,360,362,371,381,388,395,411,416,425,433,442,598,607,611,624,626,639,645,654,662,677,682,691,700,711,715,727,731,741,752,762,770,771,786,792,805,808,822,823,838,840,853,863,873,877,884,896,902,911,920,929,936,950,954,961,975,977,990,1001,1008,1015,1021,1029,1039,1048,1060,1067,1073,1082,1091,1097,1110,1115,1124,1132,1147,1153,1163,1167,1174	1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,19,33,42,51,57,64,74,81,89,94,109,115,121,134,139,151,154,167,174,186,318,331,343,349,355,364,374,380,392,401,412,419,421,432,440,600,603,613,625,634,642,648,654,662,671,679,692,697,710,717,721,731,738,746,759,764,775,783,796,797,807,816,831,836,840,854,862,867,882,887,898,907,914,921,931,941,945,958,959,973,984,985,996,1008,1011,1021,1029,1037,1052,1056,1063,1071,1081,1096,1103,1108,1120,1123,1138,1145,1149,1161,1166,1177	1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,25,31,39,42,57,61,74,77,86,101,104,117,122,134,137,150,158,165,172,186,318,330,340,350,358,365,374,383,391,396,406,419,429,432,444,598,604,612,621,632,642,651,654,664,671,685,693,700,706,720,728,736,742,746,755,768,777,785,795,805,807,819,824,839,845,849,858,871,878,889,896,901,915,918,933,937,947,957,960,968,983,992,998,1007,1018,1023,1033,1041,1052,1061,1065,1078,1083,1090,1102,1105,1120,1124,1133,1145,1147,1162,1169,1178	1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,16,25,30,39,43,55,62,69,77,93,101,106,117,125,131,142,147,160,162,178,191,321,333,338,351,354,363,372,383,393,398,406,420,424,435,439,447,602,613,621,632,643,646,657,667,671,684,693,700,711,718,725,729,739,754,760,763,773,782,794,800,812,821,824,836,847,853,863,868,878,889,893,900,908,922,933,934,943,958,966,971,984,987,995,1005,1013,1021,1030,1039,1051,1054,1065,1070,1082,1094,1098,1106,1118,1129,1131,1143,1148,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
3,9,17,29,34,49,57,62,73,84,89,94,104,116,121,133,142,152,160,165,176,183,324,334,343,350,355,368,374,378,392,399,405,413,424,432,443,596,604,612,624,627,642,646,657,662,669,683,691,701,709,720,723,729,744,753,755,770,777,788,795,797,806,815,831,832,842,855,858,869,880,887,895,905,911,922,928,938,949,951,967,972,979,989,1001,1006,1016,1025,1029,1039,1045,1056,1064,1079,1080,1095,1098,1107,1116,1124,1136,1141,1147,1158,1172,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,18,27,35,45,51,65,68,85,88,98,104,119,123,128,144,151,156,167,172,315,323,328,336,352,357,364,371,385,388,399,408,420,423,432,445,599,601,612,622,633,636,645,654,664,672,680,687,699,708,713,722,730,737,746,758,770,776,785,795,803,806,821,823,836,840,851,857,870,882,884,893,901,911,921,933,935,950,956,963,974,977,989,994,1002,1016,1021,1032,1040,1047,1054,1064,1075,1087,1088,1096,1107,1117,1127,1131,1145,1149,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,30,36,43,57,61,68,79,85,98,103,114,126,133,140,151,154,164,173,180,325,327,342,345,354,368,375,382,391,403,404,419,422,431,444,468,609,614,625,629,643,651,658,663,673,683,689,702,707,713,723,735,745,752,758,763,772,785,790,800,806,817,827,832,847,849,860,872,877,884,892,905,914,922,932,940,944,955,962,975,977,993,994,1004,1015,1022,1032,1042,1049,1056,1064,1073,1086,1089,1098,1109,1117,1121,1130,1146,1147,1162,1170	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,12,23,27,34,51,57,62,73,80,91,100,102,112,120,134,138,146,162,169,173,188,324,329,339,347,354,368,370,386,393,397,410,417,427,431,439,455,608,615,625,629,641,651,656,668,670,679,688,698,710,714,721,730,741,752,760,768,774,780,794,797,814,815,824,837,842,850,862,870,880,890,895,905,911,919,930,934,947,956,965,976,982,986,997,1007,1013,1023,1031,1036,1051,1055,1069,1073,1081,1095,1104,1106,1116,1123,1136,1141,1152,1161,1171	0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,18,29,40,43,52,67,71,78,91,98,105,114,119,130,145,152,155,169,177,181,320,327,339,345,352,368,377,380,391,401,410,418,423,435,446,452,601,611,621,630,641,648,657,665,675,679,694,703,711,713,724,730,740,753,755,771,778,786,796,802,806,815,824,838,847,850,863,871,874,890,895,904,915,919,933,934,947,957,961,969,979,987,1001,1003,1013,1024,1036,1041,1052,1056,1067,1077,1085,1095,1101,1109,1119,1128,1132,1144,1148,1159,1172,1173	0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,20,31,41,46,57,66,75,82,87,95,109,114,123,128,141,149,157,164,179,185,324,334,341,350,353,365,374,385,394,401,411,416,427,432,438,600,609,617,620,628,640,645,657,664,673,686,692,699,708,715,728,736,740,747,756,765,776,782,790,803,810,817,831,835,842,852,862,872,876,882,899,902,910,918,930,934,947,958,966,973,983,986,994,1003,1017,1027,1031,1038,1047,1058,1067,1074,1082,1091,1098,1112,1114,1127,1137,1143,1149,1159,1169	0,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,22,31,34,42,53,62,74,81,92,99,108,115,120,132,138,147,154,166,177,187,326,332,337,350,359,367,370,383,395,400,409,414,421,429,443,596,609,612,624,631,642,645,658,667,676,684,688,699,707,719,726,734,739,747,757,768,772,786,791,802,813,821,828,832,844,854,857,872,875,887,899,906,915,923,929,940,949,951,967,973,982,987,997,1009,1015,1026,1034,1039,1047,1055,1070,1072,1080,1092,1098,1112,1121,1124,1138,1143,1147,1162,1172	1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
6,9,23,33,36,46,55,63,70,84,91,98,110,114,123,136,141,152,159,163,178,189,322,329,336,347,354,365,375,384,389,402,410,415,421,433,440,596,608,614,625,633,642,648,653,660,672,679,689,696,708,716,720,731,737,752,761,771,778,781,797,805,808,822,825,836,841,848,862,867,875,889,897,903,916,921,925,934,949,956,964,973,978,989,999,1010,1017,1022,1035,1044,1049,1055,1069,1077,1085,1091,1099,1108,1116,1127,1132,1139,1148,1161,1167,1173	0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,17,22,31,36,42,58,65,75,80,85,101,105,113,121,135,140,153,159,164,178,316,321,329,336,350,359,363,371,383,390,401,405,413,422,432,444,599,608,613,626,630,637,652,653,661,673,683,691,697,704,712,724,733,740,754,760,764,771,780,795,801,809,814,823,831,840,850,859,866,880,884,898,899,911,924,926,934,943,957,965,969,977,989,994,1003,1018,1019,1030,1036,1045,1058,1063,1072,1084,1088,1101,1105,1113,1130,1131,1141,1151,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,25,35,46,56,66,74,79,92,99,103,118,121,131,144,145,153,167,176,317,318,331,341,345,358,367,376,381,393,401,411,418,425,432,445,468,603,612,621,630,639,648,658,661,670,678,692,702,703,715,725,734,744,753,760,768,772,780,792,803,810,815,829,835,841,849,857,866,875,888,896,904,915,922,933,937,943,951,964,968,977,989,997,1005,1012,1021,1032,1042,1053,1054,1062,1071,1082,1095,1104,1105,1117,1127,1134,1145,1152,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,32,42,47,54,64,69,84,88,99,103,115,122,130,137,145,159,162,172,317,318,333,337,349,354,368,377,378,388,401,410,413,421,437,443,598,603,615,620,627,641,651,656,661,674,685,690,698,706,715,728,732,741,752,759,766,775,788,797,803,807,818,828,832,841,853,860,871,877,884,891,905,910,920,926,935,945,959,963,976,979,992,1001,1005,1013,1023,1028,1041,1046,1054,1068,1070,1080,1090,1101,1105,1120,1128,1138,1146,1154,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,19,33,41,45,59,68,70,78,87,94,103,119,123,134,136,151,159,164,175,313,326,334,339,352,360,366,372,386,393,396,404,418,421,434,443,467,608,618,623,629,635,643,658,662,675,678,687,698,704,719,724,732,738,749,756,766,775,780,796,803,810,814,823,831,844,856,862,873,880,884,898,903,914,917,930,936,947,955,959,975,978,986,1000,1003,1017,1022,1029,1038,1048,1054,1069,1072,1083,1089,1102,1109,1115,1125,1135,1147,1149,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,25,33,36,50,54,64,70,78,92,99,102,118,127,136,143,146,162,167,172,315,320,333,342,349,357,365,370,378,394,401,405,420,428,432,440,597,603,613,626,634,637,646,654,661,674,683,692,697,703,718,728,730,739,751,760,770,773,780,791,799,812,821,830,834,847,854,865,872,874,884,892,906,916,921,930,934,946,956,966,970,984,987,997,1005,1018,1022,1029,1041,1048,1057,1063,1071,1080,1089,1097,1108,1119,1127,1138,1142,1155,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,30,40,44,53,64,74,78,90,97,108,114,120,133,137,147,159,165,178,313,322,333,336,347,352,362,369,382,388,401,408,414,421,434,443,598,601,616,625,629,643,644,656,668,669,682,687,698,707,715,727,736,741,752,760,766,778,783,791,804,811,820,828,833,845,850,860,868,877,883,895,904,913,922,932,941,946,953,966,970,980,988,999,1006,1011,1020,1030,1040,1052,1054,1068,1072,1079,1087,1103,1108,1115,1126,1133,1143,1154,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,32,38,50,59,64,70,77,87,99,105,116,126,129,136,153,154,166,173,314,320,327,339,350,359,364,370,381,392,403,406,414,424,434,444,466,603,613,618,630,635,651,653,668,672,677,686,700,708,715,724,733,740,749,759,763,777,783,791,800,810,820,823,838,846,856,857,867,878,884,891,900,913,919,925,940,950,958,963,969,977,985,993,1009,1014,1019,1036,1042,1049,1056,1067,1072,1081,1089,1103,1109,1115,1128,1131,1144,1150,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,32,38,48,54,63,75,81,93,100,103,114,127,128,140,148,157,166,172,315,319,327,341,349,357,366,372,383,389,395,412,419,427,432,441,599,605,615,622,628,638,646,657,667,675,678,692,696,711,715,720,731,743,748,761,763,775,781,792,801,810,817,826,832,847,852,858,873,875,884,897,907,916,917,926,935,947,956,964,968,980,986,1000,1005,1013,1027,1029,1039,1048,1059,1067,1076,1079,1089,1100,1109,1113,1128,1132,1142,1148,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,32,36,45,55,63,74,84,91,98,105,113,120,134,140,145,160,163,179,180,325,332,339,348,352,361,375,382,386,403,411,412,421,434,445,465,607,611,622,627,642,651,655,662,675,685,691,699,709,717,727,737,738,749,757,770,773,781,796,805,808,815,828,839,843,848,864,867,881,889,893,905,909,919,929,940,947,955,963,971,985,988,996,1003,1010,1024,1035,1042,1050,1057,1066,1071,1079,1093,1098,1109,1114,1128,1134,1145,1149,1163,1168	1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,17,30,35,43,55,67,71,79,87,95,109,118,120,131,142,152,160,167,175,314,323,327,338,347,358,364,375,381,390,401,411,413,428,436,443,457,606,617,623,628,640,648,653,663,670,683,690,701,708,720,726,735,740,751,759,771,777,783,788,799,812,819,831,834,848,855,862,867,875,884,892,906,910,918,926,940,943,954,965,975,977,991,997,1009,1018,1022,1035,1044,1048,1061,1065,1078,1085,1087,1098,1112,1117,1124,1135,1145,1152,1156,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,26,36,50,58,61,76,82,90,100,104,119,126,132,143,152,154,166,177,317,323,330,338,346,356,361,370,385,394,402,406,415,421,434,443,471,603,615,620,628,641,652,660,663,673,685,694,695,710,712,720,734,739,754,762,763,774,785,790,798,810,818,827,834,841,852,860,870,882,889,898,903,910,919,928,937,949,953,961,968,982,991,994,1004,1018,1024,1031,1036,1050,1056,1069,1073,1083,1092,1097,1106,1114,1125,1133,1141,1154,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,29,37,44,57,60,76,78,91,97,105,116,126,135,140,148,156,167,173,317,326,331,340,351,358,368,373,382,390,401,404,419,423,437,439,600,602,610,618,631,635,645,658,667,677,685,686,702,711,720,726,730,742,751,754,768,775,783,796,803,805,815,824,833,842,854,863,872,882,886,895,907,908,922,933,936,945,956,963,973,980,992,997,1004,1011,1019,1030,1043,1053,1055,1068,1078,1079,1095,1098,1110,1118,1123,1136,1143,1149,1163,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,22,34,36,49,52,64,71,80,86,95,103,118,120,134,139,148,156,166,178,315,320,329,338,344,356,361,369,382,388,395,406,417,426,431,440,597,606,615,625,630,641,645,660,664,676,683,690,701,703,718,727,729,744,754,756,767,772,786,795,802,806,822,823,835,848,854,864,870,881,882,897,903,915,922,931,934,949,951,963,973,981,987,996,1003,1013,1026,1027,1044,1045,1060,1067,1073,1086,1094,1098,1110,1117,1124,1131,1143,1147,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,30,41,48,51,61,75,85,90,99,107,116,120,130,143,146,157,162,172,180,325,333,340,349,356,366,376,380,387,400,407,413,427,436,446,600,608,614,625,628,643,648,660,668,677,683,688,697,711,717,724,737,745,752,754,767,772,783,789,800,811,818,825,831,846,851,862,870,879,889,892,905,911,918,928,937,946,955,960,974,977,985,997,1003,1015,1021,1033,1039,1047,1058,1062,1077,1086,1093,1102,1105,1121,1127,1137,1146,1149,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,21,33,41,50,54,65,76,82,93,99,103,114,120,133,139,151,160,163,179,313,318,335,343,352,356,367,377,379,388,397,404,412,425,434,438,598,609,616,620,630,641,651,654,667,675,683,694,697,710,718,721,732,739,750,758,770,778,784,791,803,811,817,828,834,844,855,864,873,874,885,896,906,911,919,929,941,945,955,963,970,979,990,999,1006,1018,1022,1033,1044,1046,1058,1067,1073,1083,1090,1103,1112,1113,1127,1138,1139,1153,1164,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,24,33,34,46,55,65,69,76,87,102,105,113,120,133,137,150,161,162,179,317,325,332,337,346,356,365,371,379,392,403,409,419,421,430,445,599,607,614,619,628,643,644,655,667,675,678,691,697,705,719,724,735,741,753,761,770,778,786,795,801,811,815,831,835,842,851,863,866,875,883,893,906,909,922,931,935,946,952,962,975,984,991,999,1005,1019,1024,1033,1038,1052,1060,1067,1072,1081,1088,1097,1107,1114,1126,1133,1142,1150,1163,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,23,26,39,49,52,63,71,82,92,98,105,118,127,134,141,153,161,163,177,315,322,329,342,348,355,363,375,381,389,403,410,417,426,435,442,600,602,616,622,627,642,646,659,666,670,679,686,702,708,718,721,732,742,749,758,765,776,785,789,797,809,815,824,839,847,856,861,868,877,887,896,904,913,924,926,940,942,952,960,970,983,987,994,1010,1012,1021,1031,1040,1046,1060,1067,1072,1085,1090,1097,1110,1114,1123,1133,1144,1151,1158,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,34,41,50,54,66,69,78,88,100,107,115,124,128,142,147,156,167,173,314,326,331,338,345,356,367,370,385,387,398,409,415,422,434,439,598,608,616,621,630,638,649,658,661,677,679,686,696,706,713,727,734,744,748,754,767,771,787,794,805,807,817,823,839,841,856,865,866,879,890,892,900,916,924,929,938,950,953,961,973,979,986,997,1010,1015,1022,1035,1037,1052,1055,1063,1072,1085,1094,1100,1109,1114,1129,1138,1145,1148,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,28,37,49,53,59,76,77,87,102,108,117,125,130,143,152,154,165,171,316,320,331,340,349,352,361,370,385,390,395,407,420,421,437,442,456,603,612,622,626,638,651,656,665,677,684,694,700,708,712,721,735,744,753,756,766,774,787,789,798,809,817,824,835,840,850,860,872,877,887,898,904,914,919,925,938,946,956,962,969,977,992,1001,1006,1015,1023,1028,1039,1052,1054,1062,1071,1080,1090,1101,1105,1117,1127,1138,1141,1152,1158,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,28,36,49,58,60,76,80,88,101,110,112,124,133,141,153,156,165,177,314,322,331,343,349,354,363,376,379,392,395,411,418,427,429,438,596,607,615,624,627,636,644,654,662,674,682,691,697,711,715,724,733,740,746,754,769,779,788,790,804,813,817,830,838,842,855,864,871,878,889,899,905,908,923,932,934,949,955,963,969,980,987,997,1006,1012,1021,1035,1044,1047,1059,1065,1074,1082,1087,1102,1111,1115,1122,1131,1143,1154,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,32,34,42,51,60,71,82,87,95,108,115,120,133,141,148,161,169,175,313,326,332,342,344,356,367,371,382,388,399,406,413,423,432,445,598,608,613,623,628,638,647,657,667,671,682,687,695,703,714,722,731,744,753,762,769,778,784,789,804,810,819,828,834,846,852,864,872,879,884,891,902,916,919,931,935,946,958,965,969,978,989,996,1002,1015,1022,1034,1044,1049,1056,1064,1077,1084,1093,1103,1109,1118,1125,1137,1140,1152,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,28,34,49,56,62,68,79,90,98,110,117,120,131,144,146,160,166,175,313,324,327,337,344,353,368,371,386,387,398,405,418,424,434,437,461,606,616,618,628,637,646,653,662,672,682,694,697,706,717,726,733,739,749,759,767,772,787,792,805,809,820,830,836,842,854,858,873,878,886,894,901,913,924,931,942,943,957,965,975,982,985,995,1004,1016,1020,1034,1042,1046,1060,1062,1078,1083,1091,1104,1107,1118,1122,1136,1146,1155,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,31,35,47,55,62,73,79,89,94,102,119,120,133,143,145,156,164,172,316,325,329,343,346,353,362,376,379,387,399,410,420,426,435,442,467,607,613,624,627,636,643,653,662,673,685,688,701,708,715,722,730,737,749,759,763,772,780,791,799,811,821,824,836,845,850,863,874,879,884,893,902,912,923,927,939,948,952,967,968,977,989,997,1004,1012,1023,1035,1042,1048,1060,1068,1074,1087,1089,1097,1108,1121,1129,1137,1145,1153,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,32,35,43,53,64,73,80,86,99,108,115,122,133,145,146,157,169,172,313,324,331,337,351,359,362,376,378,388,397,406,414,420,437,443,458,608,610,626,628,637,649,660,664,677,685,688,698,711,718,724,732,739,753,756,764,774,786,796,801,811,820,830,835,843,852,863,866,877,889,897,906,909,924,930,941,949,951,966,975,977,989,1000,1007,1012,1022,1029,1037,1052,1056,1063,1074,1084,1089,1102,1110,1116,1130,1133,1140,1151,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,24,29,37,46,57,60,72,82,86,98,106,115,124,130,144,153,161,169,175,317,321,331,336,347,359,363,373,380,388,402,409,413,423,437,446,448,605,612,626,634,639,651,656,663,676,679,691,697,706,715,727,736,744,746,762,763,775,787,793,803,810,817,824,831,846,854,859,869,878,886,893,900,914,917,925,934,943,953,962,969,983,985,1000,1008,1019,1026,1029,1039,1051,1059,1070,1079,1082,1095,1101,1106,1116,1127,1133,1144,1151,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,28,34,47,51,66,70,82,88,101,108,114,120,134,139,147,158,162,173,315,322,328,338,350,355,368,373,382,394,400,409,418,423,435,440,468,606,614,624,627,640,643,659,661,677,680,694,702,706,716,724,735,743,749,758,765,776,784,791,804,806,818,831,832,840,850,865,866,880,887,898,907,911,924,926,940,946,956,966,972,978,985,998,1004,1013,1024,1036,1039,1049,1056,1069,1078,1084,1093,1100,1104,1120,1125,1136,1143,1150,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,27,34,46,58,66,72,77,91,97,109,118,125,132,140,149,157,166,172,179,323,328,335,349,360,366,372,384,387,396,411,412,427,434,443,600,606,611,620,629,636,646,657,663,670,681,686,697,711,715,721,732,742,754,758,764,776,786,789,802,810,815,828,833,840,852,857,866,881,887,899,902,916,924,930,938,943,952,960,972,979,987,998,1009,1018,1023,1033,1038,1050,1054,1067,1072,1084,1094,1096,1108,1115,1125,1136,1139,1152,1161,1172,1176	1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,24,31,38,48,51,63,70,80,92,98,106,112,126,131,137,151,154,170,177,179,319,328,336,349,354,365,375,380,391,401,410,416,422,437,438,466,606,617,622,628,637,643,652,663,674,678,692,699,706,720,722,734,740,751,754,769,772,787,790,799,813,814,825,839,844,851,864,868,879,885,892,901,912,925,927,941,944,953,967,972,981,991,1000,1002,1011,1020,1028,1042,1051,1060,1068,1074,1087,1092,1096,1105,1120,1122,1132,1140,1149,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,20,33,38,43,55,67,76,82,89,101,104,116,123,130,139,150,155,169,174,184,320,326,339,351,354,369,370,382,389,399,410,416,426,433,440,457,606,611,624,633,636,645,655,664,676,680,692,695,707,713,721,737,740,748,763,765,774,787,789,802,811,822,824,834,847,848,864,868,877,883,898,903,908,919,930,940,949,952,967,975,977,991,996,1006,1012,1025,1033,1038,1051,1058,1065,1078,1086,1094,1096,1106,1117,1121,1130,1145,1154,1161,1172	1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,23,30,42,46,52,65,73,83,92,101,109,114,125,128,138,147,158,169,173,184,320,333,340,349,354,368,374,384,391,400,406,414,428,437,438,470,609,610,625,632,639,644,655,665,676,680,687,701,709,715,727,729,738,751,757,763,779,783,792,799,814,816,830,834,844,850,860,868,876,885,892,907,909,919,928,935,950,955,960,968,981,992,996,1003,1013,1024,1035,1042,1052,1058,1067,1072,1083,1087,1100,1107,1114,1128,1131,1145,1149,1162,1167,1176	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,10,18,31,40,50,53,67,71,81,89,94,106,115,127,134,139,151,154,169,175,181,320,330,338,351,353,368,373,381,394,399,406,419,428,436,445,449,602,612,619,630,637,647,659,660,670,678,690,699,709,713,727,733,741,751,762,771,774,788,791,801,805,816,830,838,841,849,861,867,875,885,895,904,914,920,926,935,945,959,961,972,979,985,996,1006,1017,1020,1029,1037,1050,1055,1068,1078,1085,1095,1101,1109,1116,1128,1135,1139,1155,1164,1172,1173	1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,15,20,30,37,49,53,65,68,82,88,95,108,112,121,129,144,145,159,168,177,186,322,329,340,344,356,361,371,383,387,403,405,414,424,432,438,450,602,610,622,632,635,649,656,663,670,684,689,700,708,717,728,734,743,746,761,764,779,781,790,798,808,816,824,836,840,848,862,873,876,886,895,902,913,923,929,938,945,951,967,971,978,986,994,1008,1011,1021,1033,1039,1050,1059,1070,1076,1084,1089,1098,1112,1117,1130,1131,1144,1150,1162,1168	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
7,9,20,27,34,43,53,62,71,79,86,100,108,113,124,130,139,151,160,163,174,180,325,332,343,350,353,367,371,383,388,401,407,418,421,432,439,457,602,610,624,627,635,648,655,663,671,685,686,699,703,719,721,730,739,753,761,764,777,786,792,803,812,822,830,832,846,851,857,869,882,886,898,904,909,921,932,939,949,952,964,974,980,991,997,1005,1012,1027,1032,1037,1048,1056,1064,1071,1081,1091,1096,1109,1120,1121,1132,1147,1150,1160,1164,1177	1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,24,30,38,47,56,64,72,81,90,94,107,114,121,132,144,150,155,166,176,197,318,334,338,344,353,364,374,384,389,402,406,414,424,430,438,458,602,611,626,629,637,645,655,662,671,679,690,700,710,712,721,735,740,751,756,770,775,780,792,801,812,817,828,838,842,853,861,867,875,887,897,906,909,918,926,939,944,955,959,976,983,992,995,1003,1012,1025,1028,1040,1052,1057,1063,1075,1084,1090,1103,1107,1114,1124,1136,1144,1148,1159,1167,1175	0,1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,18,27,37,45,53,59,72,80,93,94,104,115,122,128,141,151,154,164,176,313,324,335,337,346,358,364,373,379,387,396,405,420,426,435,444,597,604,610,622,628,640,646,652,662,670,683,690,700,703,712,724,730,738,750,762,766,779,783,791,805,808,814,824,834,844,854,857,871,880,886,899,900,908,919,926,939,945,953,964,968,983,988,997,1002,1013,1022,1030,1040,1053,1061,1064,1075,1087,1088,1098,1106,1116,1127,1137,1142,1152,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,28,36,49,54,62,74,81,91,101,110,114,124,134,141,148,158,163,170,187,323,327,336,345,356,362,374,384,393,403,410,417,426,434,439,599,600,616,623,628,641,648,658,669,674,683,689,703,708,719,722,732,742,751,760,768,773,784,795,800,811,814,828,833,842,850,859,873,881,886,897,901,912,918,930,937,948,958,961,968,982,991,1001,1008,1014,1023,1031,1041,1050,1057,1063,1071,1082,1095,1100,1112,1114,1124,1134,1145,1150,1160,1167,1178	0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,17,31,34,43,57,62,71,82,86,95,106,113,125,132,142,147,160,169,176,183,320,333,341,351,355,362,376,378,392,399,410,412,424,437,442,456,609,617,622,631,636,649,658,668,671,680,687,702,711,716,724,730,740,746,756,765,778,785,790,800,813,817,830,834,846,856,859,873,880,889,895,907,911,924,930,935,944,951,960,970,979,993,994,1003,1012,1024,1030,1041,1046,1053,1065,1078,1082,1088,1097,1106,1118,1127,1132,1146,1151,1163,1164,1174	1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
5,16,25,33,37,51,54,67,68,76,85,97,110,115,127,135,137,152,159,169,171,189,322,332,339,350,355,363,370,383,389,395,409,416,421,434,446,597,608,613,618,632,639,651,657,661,673,682,694,700,707,714,727,735,739,751,755,766,774,787,792,803,809,820,827,834,840,849,860,868,881,885,897,901,909,917,926,939,948,951,963,970,978,986,996,1002,1018,1024,1029,1042,1050,1061,1064,1074,1084,1095,1098,1111,1116,1122,1138,1143,1152,1161,1164,1177	0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,21,26,34,45,53,67,69,78,88,101,108,117,122,128,141,148,154,164,175,185,322,329,339,344,357,361,375,379,392,401,410,419,420,436,444,463,602,612,626,627,640,652,657,666,674,685,689,700,711,716,726,734,743,747,762,771,777,783,792,802,811,817,826,834,846,851,865,870,880,883,893,906,908,922,925,940,949,957,967,975,983,990,996,1009,1011,1025,1029,1043,1053,1054,1068,1075,1082,1088,1099,1110,1121,1122,1136,1142,1147,1163,1170,1177	1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,15,21,31,40,49,52,67,73,84,85,101,106,114,119,131,143,146,154,167,173,181,322,330,341,346,358,367,375,378,392,402,403,420,422,436,441,596,603,614,626,632,642,645,658,666,677,678,686,700,706,715,722,734,745,749,755,763,776,787,796,803,813,820,824,834,847,851,859,872,875,883,893,903,909,922,925,939,947,956,962,968,980,993,1000,1008,1015,1024,1029,1038,1053,1057,1062,1072,1081,1092,1101,1110,1113,1121,1134,1142,1154,1161,1165	1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,11,20,29,37,48,56,62,68,79,91,95,107,113,123,128,137,151,153,165,176,188,319,332,340,352,360,363,373,382,391,398,406,412,428,430,443,596,609,610,623,631,635,646,655,663,673,683,691,695,705,717,721,732,744,752,758,765,773,786,789,802,809,822,827,836,841,853,862,866,874,888,899,906,914,923,928,938,942,958,965,972,977,989,998,1006,1018,1025,1028,1039,1045,1058,1062,1072,1081,1090,1100,1110,1115,1123,1134,1139,1155,1164,1171,1173	0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,16,19,32,34,44,54,63,74,82,91,99,109,112,119,132,142,151,160,164,179,316,325,328,339,349,356,369,371,381,391,403,409,420,426,433,439,597,601,617,621,629,635,650,655,663,677,685,694,697,709,718,728,729,741,749,754,768,779,784,793,798,809,814,826,837,844,849,863,869,882,884,893,906,911,918,931,942,948,959,964,969,977,988,1001,1008,1018,1027,1036,1040,1053,1056,1067,1071,1080,1094,1103,1112,1118,1122,1136,1144,1153,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,33,38,43,54,60,71,82,88,101,105,115,123,128,142,150,153,164,173,316,320,334,338,351,356,368,372,383,392,397,410,418,427,431,445,458,604,613,622,630,635,649,656,667,676,681,687,701,707,718,721,731,745,746,756,766,779,782,795,800,812,815,828,837,840,852,858,872,879,886,891,907,915,922,932,934,946,955,962,974,980,993,1001,1005,1014,1021,1031,1037,1052,1055,1062,1075,1079,1093,1103,1109,1116,1125,1138,1143,1148,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,26,34,45,57,67,70,83,91,94,102,116,126,134,138,150,160,163,177,314,326,328,336,352,359,362,369,383,390,397,404,413,422,435,443,469,606,611,622,628,637,645,656,665,675,678,692,694,708,715,728,733,741,749,762,771,774,787,789,802,807,814,829,832,840,848,864,869,878,883,895,907,908,919,927,937,948,953,964,970,979,991,1000,1010,1015,1020,1030,1041,1048,1059,1062,1077,1083,1093,1104,1113,1114,1123,1130,1142,1150,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,25,40,44,54,66,72,83,89,100,110,114,120,134,140,147,159,169,176,317,323,332,337,351,357,367,371,383,388,400,405,412,421,430,443,598,604,617,626,632,643,648,658,668,675,683,687,696,705,715,722,735,738,753,757,764,774,783,796,797,813,818,826,836,844,850,865,872,877,890,899,904,908,923,933,941,949,952,960,975,977,989,998,1003,1012,1027,1030,1043,1045,1058,1063,1073,1079,1090,1097,1111,1119,1127,1132,1143,1149,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,24,30,42,46,56,67,71,85,92,94,106,117,122,129,139,149,156,163,174,317,326,330,335,351,359,362,372,379,388,401,406,416,424,434,444,600,607,615,626,629,637,649,658,666,672,677,690,696,708,718,721,733,738,751,757,767,776,786,791,799,813,822,825,833,843,849,859,874,877,890,895,906,909,919,931,942,947,958,961,970,978,988,1001,1010,1018,1023,1036,1043,1048,1061,1063,1076,1085,1087,1101,1108,1120,1128,1135,1141,1149,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,32,39,45,53,65,75,78,85,102,108,118,122,136,144,153,157,163,174,316,319,327,338,349,360,362,369,385,389,403,411,412,422,430,444,465,608,610,625,634,635,651,657,668,676,680,687,701,706,715,723,729,744,749,758,768,777,784,791,799,809,822,829,839,847,852,864,872,879,890,892,901,909,920,925,935,943,952,962,975,984,988,999,1005,1014,1020,1032,1039,1048,1055,1062,1075,1083,1089,1098,1110,1119,1123,1137,1146,1152,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,26,39,42,56,59,71,82,91,98,103,116,121,131,140,145,161,167,172,313,322,332,339,351,355,362,375,384,391,403,411,412,423,434,438,463,601,613,618,631,643,646,653,663,669,685,694,696,711,717,722,730,744,751,757,766,774,783,794,805,812,819,824,838,844,851,859,872,880,887,898,907,912,917,933,934,948,958,965,974,979,991,996,1007,1015,1025,1031,1039,1047,1059,1064,1078,1085,1096,1100,1105,1120,1127,1132,1139,1149,1159,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,25,33,34,46,52,61,72,77,92,97,107,116,127,128,136,150,158,167,171,317,320,333,337,346,355,363,376,384,393,397,411,413,423,433,439,596,607,616,618,627,643,646,656,661,670,685,694,696,711,712,725,729,739,749,755,765,773,781,795,802,813,819,830,833,845,853,864,866,875,885,897,903,910,920,929,935,942,958,962,969,981,988,1000,1010,1011,1023,1035,1042,1050,1058,1068,1075,1084,1087,1102,1110,1114,1123,1135,1143,1154,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,27,35,49,57,67,72,79,87,95,105,112,127,133,138,146,158,167,176,185,320,329,339,346,359,363,377,379,391,395,403,416,422,434,440,468,602,613,622,626,639,651,652,668,676,681,688,698,705,716,724,731,742,749,758,765,779,787,794,799,809,816,829,838,842,849,857,871,878,885,899,900,915,921,933,935,948,955,961,975,985,989,1001,1006,1015,1024,1033,1042,1052,1056,1070,1078,1081,1091,1096,1110,1118,1123,1135,1142,1148,1164,1167,1177	1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,22,32,36,45,51,62,72,79,92,96,104,118,122,132,144,149,159,163,174,317,318,331,343,352,359,364,370,378,388,400,410,413,425,430,438,596,604,617,626,629,643,650,652,665,669,685,691,698,706,716,723,734,744,750,761,766,775,780,793,804,812,822,827,836,843,852,862,867,880,883,896,906,916,925,930,940,944,954,963,968,977,991,999,1006,1018,1026,1030,1041,1050,1058,1063,1073,1081,1096,1099,1106,1119,1127,1134,1141,1155,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,32,36,48,54,61,75,79,85,100,109,113,124,133,142,148,156,167,175,314,326,330,336,350,360,361,377,381,391,402,411,414,424,435,438,600,602,610,618,628,638,650,659,666,669,677,686,699,704,718,722,733,745,746,756,770,777,786,791,798,807,822,828,836,848,850,858,873,874,885,895,906,912,918,927,940,942,958,963,970,978,987,999,1004,1012,1026,1028,1042,1045,1061,1065,1078,1081,1090,1100,1106,1120,1127,1134,1140,1148,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,28,34,46,52,67,69,79,90,99,104,118,125,136,138,146,155,162,176,317,326,332,343,348,356,363,375,378,394,403,408,415,423,434,443,597,603,617,622,630,639,649,660,668,677,680,689,697,707,716,722,732,739,748,759,769,774,786,797,805,809,818,827,837,841,855,862,873,874,888,895,903,916,921,925,937,943,953,961,973,980,989,1000,1004,1016,1023,1032,1040,1045,1054,1068,1072,1082,1096,1103,1105,1121,1125,1136,1144,1152,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,26,35,46,54,61,74,78,88,100,104,113,123,128,137,149,160,164,174,314,323,334,336,350,354,363,373,386,390,401,403,417,426,436,443,452,601,610,625,633,639,650,657,667,673,677,690,697,703,711,726,729,743,747,760,771,779,785,792,803,812,818,831,832,847,849,858,866,877,886,898,901,911,921,928,940,949,952,963,973,977,991,997,1003,1018,1023,1031,1042,1052,1057,1066,1077,1082,1092,1100,1108,1118,1129,1133,1139,1149,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,26,40,44,59,64,70,78,92,101,105,116,126,132,143,152,154,170,171,184,320,333,341,347,359,363,375,381,387,397,411,420,426,432,439,598,601,615,618,633,635,650,659,661,671,680,686,699,704,716,727,733,742,752,756,768,776,780,796,799,813,817,831,835,840,850,859,866,879,890,894,901,914,917,926,939,945,957,968,974,981,989,1001,1002,1016,1022,1034,1040,1048,1060,1066,1073,1079,1092,1103,1105,1116,1122,1138,1146,1155,1161,1171,1177	0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
7,13,25,31,37,49,55,61,74,80,85,99,109,116,122,132,139,145,161,169,177,317,320,333,341,351,356,367,377,383,387,398,410,418,422,433,442,451,602,610,624,628,642,645,654,669,675,681,689,699,709,713,728,732,745,749,761,770,775,780,793,797,809,816,827,838,842,855,858,868,882,888,895,906,916,925,932,935,944,952,959,968,983,987,999,1003,1017,1026,1031,1044,1052,1058,1063,1074,1085,1090,1101,1110,1113,1125,1131,1147,1150,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,33,39,44,51,66,71,85,88,99,106,119,120,133,141,152,156,170,177,315,320,335,339,351,357,363,371,382,390,400,404,415,426,430,441,598,606,609,620,630,639,644,654,661,675,685,688,700,709,720,726,736,738,749,755,767,776,783,792,798,809,815,828,831,845,855,860,867,874,888,893,903,908,925,932,941,947,952,964,971,981,989,996,1009,1018,1023,1033,1039,1052,1059,1066,1077,1086,1091,1101,1110,1120,1128,1134,1146,1149,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,27,34,43,55,63,73,77,93,100,108,116,122,135,138,150,160,165,173,315,322,333,341,351,356,362,373,383,395,401,411,413,421,431,445,599,604,617,619,631,641,644,652,664,670,684,690,701,710,716,721,736,744,747,762,769,777,781,789,799,806,820,827,837,842,854,861,873,874,885,899,905,916,918,931,935,950,958,964,969,979,991,1001,1004,1011,1023,1035,1037,1049,1061,1069,1076,1084,1089,1098,1105,1114,1126,1131,1139,1148,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,30,41,46,56,63,70,79,87,101,105,114,123,135,140,152,156,165,176,314,323,328,338,346,356,364,371,384,392,398,408,419,427,430,440,468,609,612,623,627,638,649,660,666,673,684,686,698,708,712,727,733,741,746,760,766,773,780,790,803,813,814,823,835,843,849,858,866,874,885,893,903,912,924,928,937,945,953,961,972,979,991,993,1009,1015,1027,1030,1039,1050,1058,1062,1071,1082,1089,1103,1106,1121,1125,1133,1140,1151,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,17,20,30,38,43,55,64,73,79,90,96,104,115,122,128,137,151,156,169,178,313,318,329,341,344,353,364,375,381,390,395,407,419,421,433,441,599,600,614,626,632,637,651,658,662,670,681,692,699,710,714,724,733,739,748,760,766,776,784,789,801,807,817,830,836,847,850,858,871,880,890,899,906,910,922,930,934,945,959,964,975,979,988,999,1008,1015,1024,1036,1040,1050,1056,1068,1075,1087,1092,1103,1112,1114,1122,1132,1140,1148,1164,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,23,33,39,48,57,63,76,80,86,101,102,117,119,130,141,152,153,165,174,317,322,327,338,349,359,366,371,381,394,401,410,414,427,429,444,596,602,616,619,627,643,650,656,664,674,680,693,702,703,716,726,735,745,749,761,771,778,785,790,798,808,817,829,839,844,851,861,868,875,885,896,907,911,921,932,938,947,954,960,972,982,986,997,1002,1013,1022,1031,1044,1049,1056,1066,1076,1087,1095,1101,1112,1116,1129,1135,1140,1155,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,30,40,48,56,64,75,78,89,94,107,118,123,134,139,153,154,167,175,313,321,334,338,351,357,366,377,386,394,396,411,419,426,435,443,455,601,615,621,629,643,649,652,664,672,681,692,700,708,714,721,732,741,752,757,768,772,784,795,801,810,820,829,839,840,855,863,867,882,888,897,908,909,921,925,938,946,956,965,973,979,992,997,1009,1011,1019,1036,1038,1045,1056,1063,1073,1085,1095,1101,1110,1115,1128,1132,1146,1153,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,26,35,49,54,66,68,84,88,101,108,117,122,133,138,147,156,164,172,317,319,333,338,349,358,369,373,379,391,398,412,418,426,434,443,468,603,614,622,634,638,648,655,665,670,685,694,698,708,715,726,733,743,750,762,770,774,783,796,802,808,815,827,834,842,851,865,871,881,890,895,903,914,919,927,937,949,955,964,968,979,988,999,1002,1013,1022,1030,1042,1045,1057,1070,1076,1082,1095,1101,1109,1114,1127,1136,1146,1147,1161,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,20,34,40,49,56,67,70,82,89,96,106,118,126,132,142,149,162,163,175,315,318,327,340,351,356,367,371,379,387,395,410,417,427,431,443,600,601,617,625,633,641,650,655,664,676,683,686,695,710,714,721,730,745,751,759,767,775,785,792,804,811,818,829,833,841,856,862,873,874,887,895,904,909,919,933,934,944,951,967,976,979,993,996,1005,1018,1022,1028,1040,1052,1061,1063,1076,1081,1090,1101,1105,1117,1125,1134,1147,1153,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,31,37,50,56,64,72,84,86,102,107,114,123,128,141,146,160,169,176,314,321,330,339,349,355,362,372,380,393,402,407,419,425,436,444,596,608,617,618,629,639,643,654,664,669,678,687,698,703,713,720,736,738,747,760,763,776,788,792,802,807,815,825,835,847,853,861,868,881,884,895,907,910,921,929,934,942,952,966,970,978,986,1001,1005,1010,1019,1035,1037,1049,1054,1062,1078,1082,1095,1097,1106,1115,1123,1134,1145,1148,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,20,30,38,50,58,63,71,85,89,95,108,112,125,128,142,147,154,168,171,316,321,332,343,351,352,366,373,384,394,400,411,418,422,430,443,596,601,617,622,629,637,644,652,668,670,680,694,700,710,716,725,737,741,751,762,771,773,780,797,805,806,818,827,837,841,851,861,872,881,888,898,906,913,921,928,937,944,957,960,973,981,989,1001,1005,1012,1021,1034,1041,1048,1056,1070,1078,1086,1090,1101,1107,1120,1129,1135,1143,1153,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,20,27,40,42,56,61,70,77,92,99,104,112,127,128,139,153,160,170,171,314,321,334,340,346,354,366,371,381,388,399,411,412,423,430,445,462,601,614,626,631,638,648,654,661,674,684,692,696,710,718,728,730,741,752,760,763,776,782,789,801,807,817,826,838,841,850,861,865,875,884,898,908,911,924,927,938,948,953,963,968,984,993,998,1002,1016,1023,1035,1043,1048,1055,1067,1073,1085,1091,1097,1106,1114,1123,1132,1142,1148,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,28,38,45,56,60,70,78,87,98,105,113,126,133,144,149,160,168,173,192,318,333,342,347,353,369,371,379,388,401,403,414,423,429,445,597,601,616,623,634,641,647,653,666,676,682,690,699,707,712,725,731,740,747,756,763,776,781,789,798,807,821,828,831,842,855,865,872,882,886,894,907,914,922,933,941,950,953,963,975,981,990,997,1002,1012,1020,1034,1041,1046,1054,1066,1074,1079,1089,1098,1104,1115,1125,1131,1140,1147,1158,1165,1178	1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
8,9,25,29,42,47,51,62,72,82,89,98,103,112,127,130,142,150,157,162,176,187,321,331,336,351,353,367,376,378,392,399,407,416,424,435,445,599,601,609,624,634,643,646,660,667,672,683,691,695,704,717,723,737,739,746,761,769,778,786,789,800,809,817,831,832,843,854,862,871,875,887,899,907,916,921,930,939,946,952,964,970,981,987,999,1006,1011,1019,1029,1041,1048,1061,1066,1072,1079,1094,1101,1108,1115,1124,1136,1144,1154,1163,1164,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,21,30,42,46,54,60,76,84,89,102,108,112,120,134,137,150,159,167,176,179,321,327,339,346,358,362,370,380,394,398,411,414,427,437,444,598,605,615,622,635,639,650,652,662,675,679,686,696,707,718,726,733,745,751,756,765,777,780,788,799,813,822,829,833,841,855,857,870,879,888,896,908,914,921,928,938,942,955,967,972,983,991,999,1003,1018,1027,1032,1038,1047,1061,1064,1073,1081,1093,1101,1112,1113,1128,1138,1142,1150,1160,1170,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,25,31,34,47,54,63,75,77,90,101,102,116,125,130,139,147,158,169,173,180,326,328,336,349,354,367,369,385,387,399,406,415,428,433,437,468,602,613,619,627,637,644,657,660,674,678,687,699,707,718,721,730,743,753,756,766,778,786,793,799,807,817,829,836,844,852,858,871,876,885,893,904,911,917,925,935,945,957,961,971,983,991,1001,1005,1013,1019,1034,1038,1047,1058,1064,1074,1081,1093,1101,1108,1118,1125,1135,1140,1148,1163,1164,1174	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,16,22,31,39,46,52,67,75,83,91,99,104,114,125,130,140,151,160,163,176,181,320,327,338,351,353,366,376,386,389,402,410,420,422,430,438,599,604,610,618,628,641,650,653,664,671,677,691,701,706,712,723,732,743,750,756,765,772,787,792,803,813,815,826,839,847,856,863,866,882,891,892,900,914,923,929,934,945,958,959,971,980,988,997,1007,1017,1025,1030,1043,1050,1059,1064,1076,1082,1092,1101,1109,1114,1129,1130,1145,1155,1164,1166,1175	0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,17,30,36,49,55,67,74,80,92,94,107,111,124,135,144,149,155,163,173,179,320,326,336,346,358,366,375,383,388,396,410,414,427,430,444,468,603,614,625,633,637,650,656,663,672,683,694,703,711,714,722,735,737,748,755,770,773,784,789,800,806,817,823,836,842,853,861,866,881,887,896,901,914,920,926,937,950,951,960,969,979,986,1001,1005,1019,1020,1031,1041,1053,1059,1069,1079,1083,1094,1099,1111,1115,1122,1137,1144,1151,1164,1165,1174	1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,12,19,28,36,47,52,63,68,80,87,94,106,114,124,133,144,152,156,163,177,180,321,334,336,349,358,362,376,381,393,396,405,419,426,430,446,599,609,612,622,628,641,644,653,662,676,683,693,698,710,719,724,736,740,751,756,769,773,787,795,803,806,814,825,836,848,849,861,874,881,886,892,905,913,921,929,938,947,955,965,974,984,993,1001,1009,1016,1025,1030,1044,1045,1057,1070,1075,1087,1095,1101,1108,1116,1125,1135,1142,1151,1164,1167,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,18,26,38,47,54,60,71,79,85,101,102,113,124,134,138,151,161,168,171,185,325,330,341,351,352,363,370,381,390,401,411,420,428,430,440,600,602,617,622,633,640,650,653,661,677,678,687,702,711,712,724,731,746,752,756,769,776,780,792,801,809,821,828,833,840,850,857,871,875,890,896,906,914,923,933,934,950,959,966,974,981,992,999,1008,1018,1027,1029,1036,1045,1060,1069,1074,1083,1091,1100,1105,1119,1128,1131,1146,1153,1160,1171,1173	0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,17,18,25,40,48,52,61,76,77,86,101,103,119,120,135,144,153,155,170,171,317,319,327,336,344,356,364,377,380,393,398,404,415,427,434,438,597,605,610,621,632,642,650,658,667,673,685,692,695,706,718,725,734,741,752,755,770,774,783,788,804,807,817,824,836,845,848,857,869,881,888,896,899,909,924,930,934,947,951,962,970,979,985,994,1010,1013,1025,1031,1044,1047,1054,1070,1079,1084,1089,1097,1113,1119,1127,1136,1138,1149,1159,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,29,40,48,56,65,68,82,92,101,105,119,124,131,138,146,161,170,175,197,320,333,335,350,355,367,376,383,394,401,409,420,421,430,440,467,602,617,622,628,637,645,656,664,675,680,694,696,703,719,724,736,739,750,762,767,776,786,791,798,811,822,830,836,841,854,863,873,874,890,894,906,913,918,933,938,944,957,967,971,980,987,996,1003,1015,1024,1033,1039,1045,1061,1064,1077,1087,1093,1099,1107,1117,1125,1132,1146,1150,1161,1168,1178	0,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0
2,9,24,26,38,42,55,60,68,79,88,97,102,112,122,129,142,150,155,163,179,188,325,335,338,350,358,367,377,385,388,395,405,418,422,436,444,597,604,615,620,633,642,650,656,666,672,685,691,699,708,719,724,737,740,753,755,764,773,781,795,801,806,818,825,838,847,854,862,868,876,888,899,905,910,923,926,937,949,957,964,975,980,993,998,1010,1016,1027,1028,1037,1048,1060,1062,1078,1082,1089,1100,1111,1119,1128,1134,1146,1148,1158,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,23,29,41,49,57,65,75,78,90,98,107,115,121,135,138,145,158,169,175,181,323,329,339,344,359,362,376,385,394,399,403,417,422,431,439,598,609,610,621,632,641,645,654,667,671,678,688,701,710,715,728,732,738,748,755,769,780,782,795,801,812,819,827,832,840,853,861,866,877,884,894,904,915,917,929,941,949,954,962,973,980,989,994,1006,1013,1027,1030,1039,1052,1053,1062,1076,1082,1095,1096,1108,1116,1129,1136,1140,1151,1163,1170,1178	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,23,26,34,43,51,65,76,84,92,97,107,115,126,136,142,152,158,166,172,183,322,333,343,350,359,367,376,383,387,400,407,420,421,432,444,598,605,610,620,629,642,648,660,663,673,678,693,696,711,719,720,736,741,750,755,767,776,782,789,798,808,820,824,834,846,849,865,870,881,887,891,906,911,921,927,934,945,956,964,975,981,985,996,1007,1011,1025,1028,1042,1049,1057,1068,1074,1084,1095,1102,1110,1119,1126,1138,1146,1155,1159,1171	1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,17,32,34,45,57,67,73,83,86,94,108,115,123,133,144,152,161,170,172,182,322,330,335,344,357,366,372,378,391,398,408,417,428,433,438,597,601,612,619,627,642,651,652,662,677,684,689,697,709,717,728,736,745,752,755,766,774,785,794,798,811,817,826,835,842,851,860,869,875,888,898,904,909,918,929,942,948,956,968,974,983,993,997,1009,1015,1023,1031,1036,1051,1060,1066,1077,1082,1096,1099,1107,1120,1121,1132,1138,1148,1162,1170,1176	0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,18,28,37,50,54,62,75,82,86,99,102,117,122,133,142,146,157,165,173,183,322,331,336,344,354,364,376,383,391,402,412,416,427,433,444,599,602,617,625,633,640,651,654,663,675,683,690,700,706,716,724,730,744,752,762,766,778,787,795,798,812,822,828,832,848,854,860,868,877,889,894,900,909,919,930,934,943,955,964,975,984,992,995,1006,1014,1019,1034,1040,1049,1055,1068,1078,1086,1090,1100,1110,1120,1122,1132,1147,1149,1163,1171	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,20,32,35,47,57,61,75,85,91,94,109,115,121,135,142,148,157,164,179,314,322,334,338,346,358,365,372,386,391,397,407,413,428,429,438,462,601,617,626,630,640,651,653,666,676,685,688,697,710,718,727,729,738,754,761,765,777,784,796,799,808,818,823,837,845,853,858,872,874,888,898,905,913,922,928,934,942,953,964,974,983,992,994,1005,1018,1021,1027,1043,1048,1058,1069,1073,1086,1090,1100,1105,1117,1126,1137,1145,1154,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,31,37,44,57,65,76,78,93,101,102,116,122,130,140,153,156,167,174,317,322,326,341,349,353,365,377,384,386,396,410,419,421,435,441,462,604,611,621,628,642,650,658,666,670,682,687,695,706,716,720,734,742,749,757,770,777,786,790,800,808,820,829,831,842,849,859,873,880,886,894,904,910,920,931,938,951,959,963,974,982,992,999,1010,1011,1023,1028,1040,1052,1060,1063,1077,1085,1093,1100,1105,1121,1125,1134,1141,1153,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,32,35,44,55,61,71,77,92,101,103,115,127,129,142,146,157,167,174,315,320,327,336,345,352,365,377,386,392,402,405,418,428,431,442,455,600,616,619,632,636,650,656,665,671,680,686,702,705,717,723,730,741,751,755,768,778,788,794,804,808,815,824,839,842,851,863,873,882,888,899,907,912,922,931,935,949,956,962,976,984,990,1001,1004,1019,1026,1035,1043,1052,1057,1062,1071,1087,1091,1099,1112,1120,1128,1132,1142,1152,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,30,38,46,57,62,70,84,91,94,109,112,127,135,144,149,159,163,176,313,319,329,341,346,360,365,371,381,395,396,408,413,429,431,440,596,607,614,619,634,640,645,657,663,669,683,687,695,703,712,724,734,739,754,760,765,779,787,795,802,810,821,829,833,846,852,864,872,876,886,894,901,913,923,930,938,943,952,964,973,979,989,1000,1003,1017,1019,1032,1038,1047,1061,1069,1071,1081,1092,1098,1105,1113,1124,1132,1142,1152,1162,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,30,40,43,52,63,73,78,92,98,106,114,119,130,138,148,159,166,173,316,325,329,338,344,355,363,370,380,391,397,406,416,422,435,445,596,608,614,624,633,635,645,652,665,672,683,686,698,708,717,724,734,739,748,760,771,773,787,793,804,808,818,830,834,843,852,857,872,874,888,897,908,909,918,927,934,942,958,961,974,982,987,994,1003,1011,1020,1029,1037,1052,1058,1062,1071,1083,1095,1101,1107,1115,1129,1137,1140,1148,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,25,37,50,51,66,76,77,87,96,109,115,124,133,141,150,159,165,172,315,319,327,337,348,354,361,377,379,387,403,407,415,421,430,439,600,606,609,623,634,638,650,655,662,677,678,688,695,706,716,726,730,742,747,757,769,772,784,795,797,811,814,824,833,841,856,861,870,880,883,897,904,908,922,927,937,948,956,966,969,980,990,999,1005,1016,1021,1033,1038,1050,1061,1067,1072,1086,1095,1097,1107,1115,1123,1134,1140,1152,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,27,41,49,55,65,76,78,92,101,109,114,119,130,138,150,160,164,176,317,322,330,338,347,359,367,369,382,390,396,405,414,426,430,442,596,608,612,621,629,637,650,657,668,677,683,690,702,705,712,728,735,737,750,763,771,774,784,797,799,811,820,830,834,845,854,864,868,881,884,897,903,908,921,932,934,950,955,960,972,978,991,994,1007,1017,1027,1032,1036,1051,1055,1069,1078,1083,1091,1100,1109,1117,1125,1131,1142,1149,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,27,42,49,55,62,68,79,86,97,103,117,123,129,143,146,159,170,176,315,322,326,338,351,360,365,376,380,386,400,410,418,422,434,444,449,608,613,622,627,641,650,655,666,676,684,688,700,706,715,727,735,740,747,755,763,772,784,794,805,809,822,826,838,841,854,864,870,878,886,893,900,912,924,926,936,944,951,964,973,978,988,998,1003,1013,1022,1028,1039,1049,1054,1069,1077,1079,1093,1096,1108,1119,1124,1131,1140,1149,1162,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,32,36,46,57,66,76,77,91,95,108,111,122,132,138,147,153,162,171,186,326,327,336,347,357,361,375,378,391,396,405,418,428,432,445,452,601,616,618,628,642,649,660,661,676,681,688,703,704,717,725,730,739,749,754,771,778,786,795,804,810,822,824,833,848,855,857,869,874,891,896,899,908,917,933,941,946,955,963,974,978,988,1001,1002,1012,1023,1031,1040,1050,1055,1069,1071,1084,1092,1100,1112,1118,1126,1132,1143,1151,1163,1167,1174	0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,22,27,35,43,58,66,71,77,92,95,107,117,127,133,142,145,156,166,172,315,320,332,337,345,360,361,376,380,393,401,407,415,424,433,443,597,601,617,625,629,636,649,660,665,669,684,694,701,703,712,722,731,743,751,755,766,779,782,792,798,812,817,829,834,847,850,862,872,880,890,895,906,908,924,925,937,946,952,961,972,978,989,996,1003,1017,1022,1030,1038,1051,1054,1064,1075,1085,1095,1100,1111,1121,1124,1136,1140,1149,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,28,40,50,59,60,72,81,90,101,106,115,127,136,140,150,159,167,177,317,324,330,339,345,354,366,374,384,391,395,406,414,428,433,439,597,601,615,623,632,642,646,655,668,669,684,689,701,708,717,720,736,740,747,761,769,772,780,791,799,811,815,823,837,847,855,859,866,878,884,896,908,913,918,931,938,943,951,965,968,977,986,1001,1006,1014,1019,1029,1044,1046,1056,1066,1073,1085,1094,1101,1104,1116,1124,1131,1142,1147,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,29,40,45,56,63,69,78,93,95,106,111,124,132,140,148,158,165,171,314,323,327,343,346,352,363,377,379,393,395,405,415,422,437,445,597,608,610,625,634,637,648,657,667,672,686,691,696,705,718,725,731,745,750,759,768,776,786,794,801,811,821,831,832,847,853,860,872,875,889,897,906,916,924,931,942,947,957,960,973,984,993,999,1010,1011,1020,1028,1040,1047,1059,1062,1071,1084,1090,1096,1106,1118,1122,1138,1145,1155,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,32,38,42,53,60,68,84,92,95,110,116,124,133,138,146,154,166,173,315,322,330,342,348,353,369,376,385,392,397,407,415,429,437,441,452,607,610,620,632,638,649,660,668,675,679,690,695,710,715,721,736,743,751,755,765,772,782,794,805,808,815,825,839,846,856,857,868,876,889,895,906,910,920,927,935,950,954,967,969,977,992,995,1004,1014,1023,1032,1039,1047,1055,1062,1072,1082,1091,1101,1109,1121,1129,1136,1140,1148,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,31,35,43,55,65,69,83,88,96,109,117,125,129,141,149,158,167,179,180,323,334,335,346,356,369,377,382,387,403,411,420,427,435,442,467,603,610,626,627,641,645,655,665,672,683,693,700,710,717,724,729,740,750,756,769,774,781,796,800,811,817,825,832,841,852,861,868,880,890,898,901,916,917,932,939,949,955,967,976,984,987,1002,1009,1016,1023,1030,1039,1052,1054,1068,1074,1083,1089,1101,1106,1119,1126,1138,1146,1149,1163,1164,1177	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,19,28,40,49,55,65,68,78,85,100,104,111,123,132,140,147,154,163,171,317,319,331,340,344,357,369,373,384,392,397,411,414,425,435,446,460,609,610,619,628,643,648,659,666,677,678,691,698,704,720,727,732,737,753,758,768,774,785,794,805,812,817,824,831,844,854,864,872,874,887,896,903,914,918,929,939,949,952,963,976,979,985,996,1006,1016,1020,1028,1043,1053,1060,1069,1078,1087,1092,1098,1105,1117,1124,1135,1144,1153,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,32,38,43,55,64,75,82,88,98,106,116,125,128,140,151,153,165,173,315,321,331,340,344,356,366,372,384,394,398,407,417,424,434,446,600,606,617,619,635,639,645,652,662,669,685,687,700,704,719,727,731,742,747,758,770,777,786,792,805,814,818,826,837,845,853,857,865,876,889,897,904,913,921,927,940,948,952,967,974,983,988,998,1004,1014,1025,1028,1039,1046,1056,1063,1072,1082,1089,1097,1107,1116,1128,1134,1142,1154,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,28,41,50,56,66,71,83,91,96,108,112,122,128,142,147,154,169,170,316,319,333,338,351,353,369,375,380,387,399,409,415,425,437,443,597,606,617,619,632,639,646,653,662,675,678,690,701,704,719,721,737,738,749,755,764,775,782,790,805,813,817,825,835,846,852,857,867,882,890,898,902,916,920,929,941,944,954,962,970,979,986,997,1007,1011,1022,1036,1043,1047,1060,1067,1078,1083,1095,1099,1107,1119,1123,1130,1142,1151,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,26,37,45,56,61,68,83,87,98,108,113,124,131,142,147,161,162,171,315,323,327,343,344,353,367,370,383,392,395,412,414,428,430,440,470,604,611,618,634,639,645,653,662,670,684,692,702,709,716,728,732,742,748,759,771,778,787,797,801,809,821,827,839,842,850,861,871,877,884,894,907,909,916,933,938,945,958,967,975,983,992,996,1010,1014,1024,1030,1043,1051,1054,1064,1074,1087,1091,1100,1104,1114,1122,1132,1144,1153,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,26,35,48,56,64,76,85,88,101,108,112,123,129,139,149,155,162,172,314,326,333,341,344,359,363,372,378,393,402,406,412,421,436,438,469,602,611,619,630,640,649,659,660,677,681,689,697,705,714,725,734,742,751,755,768,774,782,790,797,814,817,826,832,840,856,859,868,876,885,893,906,913,923,927,937,944,957,961,972,981,989,1001,1002,1019,1023,1035,1044,1047,1054,1067,1071,1082,1096,1097,1105,1114,1125,1134,1146,1152,1156,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,27,35,50,55,62,73,81,89,101,105,116,124,136,139,151,161,169,178,314,321,328,343,351,353,364,373,384,390,395,409,420,425,434,444,600,606,612,620,628,641,651,652,665,675,678,690,697,710,714,723,731,738,749,763,770,771,784,795,803,814,820,827,838,846,852,864,867,879,887,891,903,913,918,933,940,946,956,964,968,984,986,999,1007,1015,1019,1034,1044,1050,1057,1069,1071,1083,1095,1098,1113,1121,1123,1134,1140,1148,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,33,34,48,55,65,68,80,87,95,110,116,127,134,138,151,158,170,173,317,321,328,336,351,359,361,370,386,388,398,404,412,424,434,444,597,608,611,620,628,639,651,659,662,674,679,687,697,706,718,727,729,740,747,756,766,778,782,793,797,810,819,826,837,847,851,864,874,875,890,898,901,916,921,926,935,943,956,960,975,979,986,995,1007,1012,1027,1035,1039,1051,1056,1069,1074,1085,1095,1101,1110,1119,1127,1137,1144,1156,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,17,33,38,49,52,65,70,77,89,96,106,119,120,129,140,145,156,165,172,314,322,330,335,346,356,361,369,379,392,398,410,412,422,432,446,458,604,613,625,631,641,647,656,664,675,685,691,695,710,719,726,735,738,754,758,764,774,782,791,804,809,820,830,837,843,854,861,867,879,883,895,906,908,921,927,935,947,958,966,970,977,991,997,1009,1013,1021,1035,1044,1051,1057,1070,1073,1079,1088,1099,1105,1117,1125,1130,1145,1155,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,21,26,38,42,58,61,70,81,93,102,108,119,120,129,143,149,159,164,176,314,319,332,338,349,353,364,370,381,387,399,403,417,422,434,444,598,605,617,623,628,638,648,657,668,673,680,687,694,706,712,721,729,741,746,755,769,777,785,795,801,813,815,829,837,840,850,865,870,878,886,897,903,911,920,930,940,949,956,963,973,980,992,997,1003,1019,1026,1032,1043,1045,1061,1063,1075,1083,1096,1101,1111,1116,1128,1131,1141,1153,1163,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,25,31,36,45,54,64,75,82,87,94,106,114,126,130,138,147,158,168,176,315,325,328,341,351,354,366,375,386,389,402,405,419,426,436,446,466,608,614,619,633,638,651,660,667,673,677,688,697,708,719,725,732,742,748,755,768,778,781,789,802,813,822,829,839,844,856,859,870,880,883,898,908,916,921,930,937,949,951,961,973,980,990,998,1009,1015,1020,1032,1038,1049,1058,1063,1078,1084,1095,1096,1113,1114,1130,1132,1145,1152,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,24,33,34,45,53,66,73,85,86,94,102,115,120,136,142,152,158,166,174,314,321,330,341,350,353,363,371,385,387,395,404,417,424,429,445,597,605,615,618,630,635,649,655,665,676,678,694,699,709,712,723,735,745,749,755,769,773,787,788,801,810,819,830,835,844,856,858,866,875,887,894,905,911,923,927,939,943,955,962,968,983,985,999,1005,1015,1025,1028,1044,1049,1060,1067,1077,1085,1088,1104,1112,1116,1123,1137,1143,1148,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,32,38,47,52,61,74,79,92,102,109,116,121,132,141,149,161,167,176,316,318,329,342,351,357,362,370,386,389,401,409,412,428,431,440,600,602,614,624,626,640,646,652,667,670,680,694,703,708,715,728,734,744,754,760,766,773,781,795,803,812,815,825,835,844,849,857,871,882,883,894,903,910,921,930,935,946,958,964,968,979,985,999,1007,1014,1022,1028,1037,1051,1059,1067,1078,1082,1093,1102,1110,1117,1128,1134,1145,1153,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,17,33,40,49,51,66,73,79,91,99,104,117,122,131,139,149,154,167,175,182,322,328,336,348,354,367,371,384,391,403,408,420,423,434,444,458,606,612,619,634,641,647,654,668,675,682,689,701,711,717,724,737,738,751,758,763,774,780,796,797,808,817,826,832,841,848,857,869,880,887,896,901,916,920,928,939,949,953,967,969,979,991,995,1006,1011,1019,1032,1037,1050,1057,1069,1072,1086,1088,1104,1106,1118,1124,1133,1147,1152,1164,1172,1178	0,1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
2,16,20,28,34,45,51,60,73,79,86,102,110,116,123,132,144,147,154,168,176,182,319,334,340,348,358,368,371,380,394,398,411,416,422,436,445,448,607,616,619,634,640,647,657,668,672,685,691,703,707,714,722,736,737,747,762,763,773,785,791,799,810,817,825,833,842,854,864,873,880,885,892,905,911,925,930,936,950,953,963,974,977,993,999,1008,1015,1022,1033,1041,1046,1058,1063,1071,1085,1093,1099,1111,1114,1129,1131,1143,1152,1163,1172,1173	1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,9,22,32,35,43,51,60,76,83,92,102,105,118,125,129,142,153,156,166,172,186,319,331,342,352,353,365,375,381,391,398,403,412,423,434,440,600,607,616,625,634,640,646,654,662,673,683,688,696,705,712,723,735,744,748,762,771,780,782,796,798,806,820,827,835,841,857,861,868,880,889,893,902,916,919,929,941,944,952,959,969,978,992,998,1008,1012,1021,1028,1040,1051,1053,1067,1073,1086,1088,1098,1109,1120,1130,1137,1141,1147,1156,1170,1173	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,23,33,41,47,59,62,72,83,91,102,107,116,119,133,140,149,160,164,171,187,324,326,343,351,357,363,374,379,391,403,404,413,428,434,439,596,603,613,618,629,641,650,654,663,677,686,689,700,710,716,725,729,741,747,763,768,775,784,793,802,812,817,831,840,845,856,865,871,879,886,891,907,910,921,933,940,946,959,961,970,982,990,996,1004,1016,1023,1035,1042,1052,1055,1063,1071,1084,1095,1101,1109,1119,1126,1136,1140,1153,1157,1165	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,11,24,28,36,45,54,66,70,81,93,98,109,116,125,134,141,147,157,168,170,191,322,332,337,349,356,368,371,382,392,399,411,417,425,431,445,600,602,610,618,628,641,646,653,667,673,683,689,699,709,719,720,735,745,746,762,770,778,788,792,802,808,821,823,839,843,854,860,865,875,886,895,906,913,920,928,937,950,957,960,973,981,985,994,1004,1013,1022,1028,1044,1046,1054,1067,1075,1081,1092,1102,1109,1114,1127,1134,1145,1153,1157,1166,1173	1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
2,10,25,33,37,47,53,62,69,76,87,101,109,111,125,133,139,149,156,168,176,181,321,329,343,347,360,364,373,383,394,399,403,419,422,435,444,469,603,613,624,627,642,651,652,662,675,678,688,695,707,714,722,730,739,751,758,767,772,780,788,800,813,814,828,839,847,849,858,866,881,887,892,906,914,917,929,934,944,959,960,971,980,989,1000,1004,1015,1022,1032,1040,1051,1056,1063,1075,1082,1089,1098,1105,1120,1124,1132,1141,1152,1162,1171	1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,8,20,28,38,48,58,61,69,83,89,101,105,112,123,134,142,149,161,163,171,181,320,334,342,347,355,365,375,385,393,397,412,415,422,433,446,598,602,611,622,627,643,651,654,662,676,683,693,701,703,713,725,737,739,752,759,768,777,784,793,805,812,817,831,836,845,852,862,867,876,888,898,903,912,918,933,935,949,954,965,976,984,991,998,1003,1013,1025,1030,1036,1051,1056,1067,1078,1080,1091,1100,1112,1116,1124,1130,1142,1151,1159,1165	1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,16,18,28,42,47,52,61,72,83,92,95,107,111,124,133,140,146,154,164,170,180,325,334,341,345,353,363,372,379,393,398,408,420,428,435,445,600,604,616,620,627,641,650,655,664,674,679,694,702,705,718,728,734,744,752,755,770,774,780,796,802,812,815,825,831,842,854,862,873,880,883,892,903,911,924,931,939,946,957,963,974,979,992,995,1005,1014,1026,1034,1044,1051,1060,1065,1074,1086,1093,1103,1109,1119,1122,1138,1143,1150,1163,1171	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,15,18,30,38,44,57,67,70,84,92,101,108,112,124,130,141,153,159,170,174,315,324,334,340,345,355,365,371,384,393,401,406,415,421,432,440,597,603,611,625,632,639,644,659,666,669,684,693,701,711,719,725,735,741,751,760,771,776,783,789,801,808,819,831,838,845,853,861,867,882,883,892,905,912,918,930,939,950,952,965,971,976,987,996,1003,1011,1021,1035,1037,1049,1054,1069,1076,1079,1095,1103,1110,1116,1130,1137,1145,1153,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,29,35,43,56,62,75,85,88,94,107,111,127,129,137,147,160,164,170,181,321,330,336,351,355,368,375,384,387,397,410,415,421,431,444,600,601,612,620,630,640,644,656,663,674,679,691,696,705,712,722,731,741,749,761,770,778,782,794,800,811,817,828,833,846,855,864,869,877,882,896,904,915,920,930,941,945,955,963,976,983,991,1000,1007,1016,1024,1033,1042,1052,1059,1069,1076,1079,1090,1101,1106,1117,1123,1135,1139,1155,1156,1166,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,9,18,32,41,43,58,64,74,81,91,96,108,112,124,131,143,152,155,169,178,202,323,334,343,351,357,365,376,379,391,398,408,413,423,433,439,598,608,610,620,634,642,645,657,665,676,678,690,702,711,712,728,729,738,749,757,764,772,782,794,800,807,814,829,831,847,849,865,871,875,888,894,906,910,924,931,940,949,959,964,971,981,990,995,1002,1012,1026,1034,1040,1048,1055,1064,1079,1085,1089,1102,1110,1121,1125,1138,1139,1150,1159,1170,1177	1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
3,10,22,26,40,47,56,64,70,82,86,97,110,113,126,129,143,147,154,168,173,181,323,330,338,345,356,363,372,386,387,399,407,412,423,430,440,596,605,609,624,634,640,652,658,664,671,686,689,698,709,717,726,733,741,753,761,768,772,784,789,799,808,817,831,835,846,852,864,867,876,886,892,905,914,919,930,938,947,958,964,968,983,987,995,1004,1012,1027,1028,1042,1045,1059,1062,1074,1083,1089,1099,1110,1120,1127,1135,1144,1148,1161,1167,1173	0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,13,17,25,36,46,55,62,69,79,88,95,106,115,121,134,139,147,157,168,174,186,319,329,339,343,357,361,376,382,389,403,408,418,428,436,443,457,601,616,620,632,639,643,654,663,674,681,689,696,708,718,725,730,740,752,759,764,779,785,789,801,808,818,824,833,848,852,863,870,879,885,897,904,916,917,926,939,947,952,962,970,978,985,995,1005,1013,1027,1030,1042,1049,1060,1064,1070,1084,1092,1103,1111,1118,1125,1138,1145,1152,1164,1170,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
5,16,18,29,40,51,55,67,75,81,91,98,103,113,123,136,140,145,159,163,172,186,321,331,343,348,357,366,371,380,394,401,406,416,423,434,439,462,603,617,620,629,639,644,655,661,672,679,693,700,704,714,721,729,741,753,757,765,773,786,792,799,808,822,825,834,846,852,858,866,877,884,894,905,913,919,926,939,949,956,965,975,983,986,996,1005,1017,1026,1035,1039,1046,1055,1070,1071,1084,1092,1096,1107,1121,1128,1131,1142,1153,1157,1171,1177	1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,11,20,25,34,44,54,68,74,78,91,97,109,114,121,130,144,147,156,163,177,182,323,329,336,349,353,363,374,383,389,398,408,415,427,437,439,458,603,610,621,629,643,645,652,668,674,685,688,696,710,720,722,733,740,751,755,767,777,781,794,802,809,820,827,834,841,855,860,866,881,889,891,907,911,917,928,937,945,956,967,970,979,987,995,1007,1012,1019,1033,1040,1049,1053,1066,1078,1080,1094,1096,1109,1113,1126,1136,1142,1154,1160,1167,1173	1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,16,19,28,41,43,55,60,69,78,86,96,102,115,123,131,139,152,162,169,173,316,319,333,339,348,353,365,371,386,393,403,409,414,423,433,440,465,605,609,623,626,639,645,652,668,672,680,693,703,709,717,721,731,743,750,758,763,773,786,789,805,810,817,827,838,845,854,864,873,878,889,894,902,915,918,929,934,949,955,960,974,981,986,996,1004,1011,1026,1036,1039,1053,1056,1064,1072,1084,1091,1102,1105,1121,1125,1137,1140,1147,1156,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,28,38,43,57,62,71,80,92,101,108,111,127,131,137,149,154,164,172,314,326,328,337,351,357,361,377,386,391,395,406,413,422,437,438,466,606,612,618,628,639,650,657,665,672,679,692,702,711,717,723,730,743,746,754,770,779,787,796,797,811,814,823,834,841,853,858,871,876,885,893,900,911,923,926,937,947,954,966,969,977,990,1000,1009,1012,1025,1029,1041,1050,1054,1070,1076,1087,1089,1102,1104,1119,1127,1130,1139,1148,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,30,40,49,55,60,70,81,87,99,110,118,126,129,139,145,159,167,177,314,322,332,340,345,352,368,370,383,391,402,409,420,429,433,439,596,603,615,623,632,643,650,656,665,677,683,691,700,705,713,728,729,743,750,756,763,772,783,790,799,814,816,824,834,843,853,862,874,880,889,898,903,908,918,925,938,949,957,964,971,979,991,997,1002,1017,1027,1032,1036,1052,1060,1069,1071,1081,1092,1101,1105,1116,1129,1134,1143,1154,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,27,36,50,54,63,76,83,91,96,102,116,126,129,139,148,158,169,171,314,319,327,336,349,354,367,372,383,393,400,409,415,421,433,441,459,607,613,626,627,638,649,656,664,674,679,686,700,709,718,726,736,742,746,759,764,778,787,796,798,810,820,831,837,847,853,862,873,880,888,896,907,911,924,931,935,949,953,962,975,978,993,996,1009,1011,1024,1034,1038,1047,1059,1068,1075,1081,1093,1099,1107,1119,1122,1131,1144,1153,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,29,41,43,56,67,69,82,93,94,103,117,120,132,137,150,159,169,171,315,321,334,335,344,360,364,370,378,389,403,410,418,429,432,441,459,604,613,623,629,637,646,653,663,676,681,688,697,709,716,724,733,743,749,761,768,773,782,790,801,808,814,830,832,845,851,859,872,874,890,892,901,911,921,927,934,947,952,960,968,984,990,995,1009,1012,1019,1029,1040,1051,1061,1068,1076,1086,1088,1101,1108,1118,1123,1138,1143,1154,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,27,37,46,56,60,73,77,86,100,110,113,122,132,139,148,160,166,171,313,326,333,337,348,353,369,372,380,392,400,405,415,422,433,438,599,600,611,621,632,641,648,654,664,673,681,691,698,704,715,725,732,740,754,757,766,779,786,794,798,809,819,826,839,845,851,861,870,881,882,894,901,916,922,930,934,943,959,960,971,978,990,996,1004,1018,1025,1033,1043,1051,1060,1066,1078,1084,1095,1102,1109,1118,1128,1136,1141,1155,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,27,42,44,55,65,76,84,89,97,106,116,121,132,139,151,159,163,176,317,326,332,338,352,357,362,376,383,391,400,406,419,424,436,441,466,608,612,621,628,641,645,658,666,670,678,686,699,707,715,720,735,745,747,761,768,774,782,794,799,809,816,829,838,841,852,862,868,879,891,896,906,913,920,929,938,942,956,960,971,980,986,995,1010,1013,1025,1032,1040,1050,1058,1069,1077,1084,1095,1097,1106,1115,1128,1136,1141,1152,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,29,35,47,57,65,76,81,86,94,104,116,125,132,143,146,161,166,178,314,320,334,336,349,354,367,372,383,388,397,403,420,423,430,440,596,607,611,621,627,635,643,658,662,671,685,687,701,706,713,725,731,745,751,756,766,775,785,791,803,811,816,829,833,848,852,857,868,874,883,897,902,913,919,928,935,948,951,959,976,977,992,997,1004,1018,1023,1030,1044,1051,1058,1065,1071,1083,1095,1101,1110,1116,1125,1137,1147,1154,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,29,37,43,58,63,71,77,90,94,106,112,122,128,144,152,156,162,172,184,325,330,337,347,357,365,370,378,394,399,408,418,422,431,440,598,607,615,622,629,641,643,652,664,674,684,686,702,709,718,720,729,738,754,763,764,779,785,794,800,808,818,828,831,847,856,863,868,875,886,891,900,912,918,930,942,945,951,960,975,980,986,1000,1005,1011,1022,1027,1041,1046,1057,1070,1075,1086,1090,1097,1106,1115,1126,1137,1143,1152,1164,1172,1178	1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,25,31,41,43,53,60,73,77,93,98,107,115,122,132,142,148,159,164,176,317,325,330,339,347,357,366,371,378,386,400,409,419,421,431,441,596,607,612,622,632,639,649,652,663,675,680,689,695,707,712,725,732,741,754,761,765,779,785,794,797,807,814,828,831,848,854,861,872,876,883,891,902,911,916,927,941,950,954,965,973,979,989,993,1002,1015,1026,1030,1044,1045,1057,1068,1076,1087,1090,1100,1106,1115,1126,1132,1140,1149,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,22,29,41,42,57,65,72,83,90,99,109,117,119,129,137,151,156,162,174,316,321,328,343,346,354,361,372,385,395,399,404,416,428,432,445,449,609,613,622,633,636,644,659,666,676,679,690,700,708,719,726,733,744,747,754,771,777,783,794,803,813,822,823,839,840,855,858,872,878,890,894,901,912,919,929,935,944,959,964,968,978,985,999,1010,1016,1024,1029,1040,1048,1054,1065,1071,1080,1090,1104,1112,1116,1125,1132,1143,1149,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,31,37,46,51,60,69,82,86,99,103,117,126,136,137,149,161,163,175,313,318,333,341,351,357,364,376,383,393,402,410,415,428,434,444,597,601,614,621,629,641,651,655,666,671,679,690,699,705,713,723,735,743,754,758,767,776,781,795,805,809,814,825,833,840,856,858,872,875,889,891,904,915,920,925,940,943,952,961,975,978,989,999,1006,1013,1025,1032,1036,1045,1057,1068,1072,1080,1089,1099,1105,1115,1126,1135,1143,1151,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,33,34,50,54,64,76,78,88,100,102,115,121,132,137,149,157,165,175,316,322,328,335,347,359,366,374,379,389,397,408,415,424,432,444,597,603,612,619,633,641,644,653,664,671,683,688,697,703,719,724,729,742,749,759,764,773,780,790,805,813,815,829,833,848,852,858,871,878,886,896,907,916,920,933,941,944,956,966,975,978,987,997,1002,1017,1027,1033,1040,1048,1055,1062,1076,1079,1090,1102,1108,1119,1129,1137,1142,1151,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,28,37,49,59,62,74,84,85,95,108,117,119,128,137,147,157,165,176,181,323,329,340,348,359,363,378,382,389,401,406,414,422,436,445,457,601,611,625,628,640,651,655,662,671,678,692,700,705,715,728,734,740,752,759,768,778,783,793,798,807,817,830,836,841,851,862,872,876,888,895,904,914,923,929,937,949,952,962,974,985,991,994,1010,1012,1025,1028,1044,1047,1057,1067,1071,1084,1092,1104,1111,1113,1126,1131,1145,1148,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
8,15,18,31,36,47,52,63,73,80,87,101,105,114,123,130,139,150,154,163,171,317,318,333,340,344,354,367,375,386,391,396,408,414,422,435,438,596,608,617,622,627,642,644,660,663,677,682,691,695,707,716,721,731,743,751,758,765,775,786,789,797,809,819,823,837,840,856,865,872,882,889,898,906,916,923,926,937,945,951,963,970,976,993,999,1010,1014,1019,1036,1038,1046,1057,1066,1079,1083,1095,1101,1110,1115,1123,1132,1146,1155,1163,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,24,32,39,47,59,63,75,77,88,94,104,112,122,134,141,148,156,168,171,317,321,333,341,349,359,365,373,385,391,398,409,414,424,430,443,461,605,612,621,628,640,651,659,661,669,684,692,697,710,718,724,737,740,751,762,767,779,786,796,797,812,816,823,839,844,855,864,866,874,888,892,906,909,923,926,940,946,959,960,974,981,986,996,1006,1016,1019,1036,1037,1051,1054,1068,1078,1085,1090,1101,1110,1119,1123,1138,1146,1151,1162,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,33,41,49,58,63,71,83,85,101,105,111,120,135,142,152,154,169,171,317,321,328,343,347,360,368,375,383,388,399,406,415,422,431,439,597,607,612,619,631,639,648,658,663,670,681,693,702,710,717,726,729,739,749,759,769,776,786,796,804,813,821,830,835,845,848,864,868,882,884,897,905,912,922,932,941,945,953,967,976,982,992,997,1006,1014,1019,1034,1040,1048,1054,1068,1073,1084,1094,1096,1109,1121,1125,1134,1147,1153,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,27,39,43,55,64,68,82,86,94,103,114,127,128,138,149,157,163,171,314,323,331,342,347,361,362,377,383,393,395,412,415,423,431,440,598,608,612,622,632,635,651,660,662,675,683,688,702,709,715,726,734,746,752,760,763,773,782,790,804,813,815,826,833,843,850,860,872,874,883,897,900,914,918,933,937,950,953,962,971,977,990,1002,1007,1017,1019,1036,1043,1045,1054,1067,1078,1081,1090,1102,1111,1116,1124,1137,1142,1151,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,30,40,44,54,65,75,77,92,95,102,115,121,133,141,147,156,165,175,314,322,327,342,351,357,363,376,384,387,396,404,415,421,433,441,451,602,614,619,630,636,644,657,668,676,680,692,697,707,716,725,732,746,747,760,769,772,780,794,801,807,819,829,836,841,850,859,868,874,883,895,905,912,920,927,934,946,956,961,975,984,987,996,1004,1012,1021,1034,1042,1053,1054,1063,1077,1080,1088,1101,1106,1119,1126,1137,1144,1152,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,33,37,47,58,64,75,77,89,101,104,116,125,135,145,152,157,168,175,317,322,330,342,350,354,368,377,382,389,402,411,413,427,435,440,447,605,611,623,631,637,648,656,663,675,678,692,703,707,714,721,735,741,752,759,769,776,788,792,802,807,822,830,836,847,851,860,871,879,885,891,901,911,919,932,941,948,954,965,976,979,992,995,1010,1014,1026,1036,1040,1049,1056,1064,1073,1080,1092,1101,1105,1120,1127,1135,1145,1147,1164,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,28,37,50,53,61,70,77,91,95,110,114,122,132,138,152,154,165,171,316,322,333,341,347,353,368,377,381,387,400,407,415,427,433,442,600,607,610,622,626,642,651,659,663,670,685,690,698,708,716,727,730,739,751,754,768,777,787,792,799,807,816,826,839,842,855,857,866,882,890,896,903,909,920,931,938,950,956,960,970,979,993,995,1010,1018,1023,1034,1041,1051,1054,1068,1072,1080,1089,1102,1107,1119,1123,1130,1147,1148,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,17,29,42,45,56,61,71,78,86,100,107,113,125,135,142,151,156,162,171,314,320,329,338,348,356,365,374,384,394,395,405,417,428,431,438,457,604,610,619,633,635,650,656,667,672,685,687,701,709,719,722,732,739,748,757,763,779,781,794,802,813,822,825,834,848,849,860,868,877,885,893,904,911,916,932,937,950,951,967,974,981,993,998,1007,1016,1020,1033,1036,1049,1059,1068,1075,1079,1093,1101,1108,1120,1125,1132,1144,1149,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,33,41,49,59,67,74,80,85,102,111,115,125,128,143,152,160,168,171,317,326,334,338,347,354,366,370,386,392,395,410,419,422,430,444,459,609,614,623,629,643,646,652,662,675,684,693,701,703,715,720,730,744,751,762,768,779,783,795,805,809,819,825,832,848,850,860,871,877,887,898,900,913,920,933,934,948,957,966,974,978,990,998,1002,1013,1027,1028,1044,1046,1054,1068,1074,1079,1095,1103,1105,1114,1125,1135,1146,1148,1161,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,29,42,48,57,61,72,79,91,98,108,111,122,135,137,145,160,167,172,315,321,335,342,349,357,367,370,381,391,400,409,416,424,435,442,598,603,617,625,627,639,649,659,661,673,684,692,697,705,719,725,731,742,754,761,768,776,787,796,802,810,815,829,832,845,855,858,867,876,888,897,901,910,919,933,940,947,956,967,969,982,985,998,1004,1013,1023,1034,1038,1045,1061,1063,1077,1087,1095,1104,1106,1121,1124,1137,1139,1150,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,19,30,35,49,59,67,71,81,91,102,104,119,122,131,144,152,157,165,172,314,325,328,336,349,357,362,376,383,394,402,405,415,422,435,442,596,604,611,623,626,637,647,652,663,672,685,689,699,705,713,722,735,737,753,756,766,771,781,796,799,807,815,827,838,847,856,862,872,879,884,892,906,912,917,928,942,943,954,962,976,980,991,996,1003,1015,1027,1033,1043,1052,1059,1067,1076,1083,1093,1101,1105,1117,1126,1135,1146,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,29,39,49,59,60,75,80,92,97,107,119,120,135,137,151,156,168,173,313,321,331,339,346,355,367,376,385,386,398,407,416,425,436,443,597,603,617,619,632,642,644,652,667,671,686,691,700,705,714,726,734,741,748,763,767,779,784,790,803,812,819,830,836,847,856,858,868,878,888,895,905,910,919,926,937,950,953,961,974,984,986,1001,1005,1012,1021,1031,1037,1048,1058,1063,1075,1079,1090,1103,1113,1120,1122,1131,1147,1151,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,30,39,44,56,63,68,77,89,100,104,115,123,136,140,148,160,164,173,185,322,328,337,348,353,363,374,379,394,399,408,419,422,436,441,599,604,610,625,628,637,646,655,667,669,680,690,700,708,715,725,731,742,750,762,768,778,788,789,805,812,821,827,834,847,851,861,872,881,884,891,901,910,924,928,938,947,952,962,969,978,989,993,1006,1011,1023,1030,1040,1046,1061,1065,1076,1085,1091,1101,1106,1116,1129,1138,1141,1148,1162,1172,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,22,29,35,49,54,62,73,81,93,101,103,115,127,129,138,148,161,165,171,183,326,335,341,345,358,361,371,385,393,398,408,417,428,435,439,462,604,615,620,634,640,650,656,664,669,685,686,701,710,719,723,733,739,749,761,767,773,781,796,798,812,816,826,839,845,850,857,869,877,890,894,903,909,925,933,937,943,959,964,973,979,993,996,1009,1014,1026,1031,1043,1053,1055,1063,1076,1080,1094,1103,1108,1118,1122,1135,1139,1154,1156,1169	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,23,31,40,46,56,65,69,85,91,100,104,112,126,132,143,147,161,163,174,183,323,330,338,350,358,367,373,384,391,402,404,416,423,435,442,455,603,613,624,631,640,651,656,666,669,684,694,703,709,715,724,731,739,750,762,767,772,786,793,800,808,822,828,833,844,855,857,873,880,886,899,901,910,919,928,940,945,952,968,973,983,991,1001,1007,1018,1026,1035,1037,1045,1053,1066,1071,1085,1093,1102,1111,1116,1127,1131,1143,1151,1161,1170	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,16,23,33,36,44,55,67,70,77,91,95,106,119,126,130,142,150,161,166,177,188,323,330,343,347,355,362,376,381,391,397,408,417,424,432,440,453,604,610,621,634,643,648,656,668,669,678,689,700,708,717,726,733,741,752,756,767,771,786,790,798,808,815,823,831,844,850,858,868,874,884,893,903,913,917,929,934,942,957,963,971,976,992,999,1002,1017,1025,1035,1043,1045,1060,1062,1077,1083,1092,1104,1112,1114,1127,1130,1140,1152,1157,1166,1173	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,24,32,36,43,55,64,71,81,92,100,102,112,121,130,140,148,162,169,175,190,326,328,337,347,358,365,374,384,391,402,411,418,421,432,443,456,607,610,621,633,640,643,655,663,669,682,691,701,707,713,721,735,744,749,759,767,778,785,793,799,806,818,823,835,847,854,863,873,878,890,897,905,912,918,933,934,946,958,966,975,981,985,1000,1002,1011,1024,1032,1039,1050,1060,1068,1073,1086,1088,1103,1107,1115,1128,1130,1146,1150,1163,1171,1177	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,27,36,47,53,61,72,83,91,95,107,115,125,129,143,150,160,167,178,186,318,329,342,348,352,368,375,380,387,397,404,414,425,433,439,599,608,611,619,629,641,649,660,662,669,682,692,701,711,717,725,731,741,754,762,769,771,783,794,800,813,816,829,837,846,856,863,871,878,888,891,906,909,921,926,936,947,955,963,975,981,988,996,1009,1012,1027,1032,1036,1046,1061,1063,1073,1087,1091,1098,1111,1116,1127,1132,1143,1155,1157,1169,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,17,27,41,48,56,67,72,85,87,97,105,114,125,129,140,147,157,170,175,186,322,334,341,350,358,368,372,379,391,399,404,414,425,434,440,599,604,610,625,631,640,647,657,669,675,679,687,697,707,715,724,730,743,748,757,764,772,788,789,801,811,819,826,835,847,850,857,871,876,889,891,907,911,921,930,941,942,956,967,972,982,989,1001,1009,1013,1025,1033,1040,1045,1060,1067,1070,1086,1095,1097,1108,1114,1123,1130,1143,1149,1161,1170,1178	0,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,17,31,40,48,55,64,69,79,91,100,107,116,123,132,137,146,159,164,177,188,325,334,342,349,360,366,374,385,386,401,411,419,420,436,443,468,607,611,623,628,636,650,656,668,672,678,690,698,704,713,725,732,740,746,756,770,773,785,795,801,810,820,830,839,847,853,860,865,876,888,892,904,909,922,931,941,949,951,959,970,984,991,999,1007,1016,1020,1031,1044,1048,1054,1065,1074,1082,1089,1096,1110,1115,1130,1137,1142,1154,1163,1167	1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,18,31,36,50,58,65,70,84,85,101,110,114,126,133,143,150,156,163,175,314,322,334,336,350,355,363,377,378,386,398,405,417,427,437,444,596,607,612,618,629,636,650,656,663,674,682,690,702,704,717,726,734,737,752,761,766,775,783,797,805,809,817,829,838,846,851,862,866,882,887,892,904,914,924,926,940,948,958,962,972,977,993,1000,1008,1017,1027,1030,1044,1050,1055,1068,1076,1080,1092,1098,1111,1117,1126,1131,1140,1150,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,30,39,49,52,66,76,84,85,100,108,117,126,134,137,146,161,166,177,182,320,327,343,350,353,369,377,382,389,397,403,420,422,433,440,598,605,613,624,634,643,646,655,663,676,681,687,695,710,716,725,730,744,752,755,767,778,788,790,802,811,821,828,833,842,853,861,869,875,886,892,906,916,918,933,938,950,955,964,969,978,988,1000,1002,1016,1027,1034,1044,1049,1059,1068,1078,1079,1091,1100,1109,1114,1125,1135,1146,1153,1158,1169,1173	0,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,18,26,37,42,58,65,69,77,87,97,110,112,126,134,136,152,153,167,175,186,318,334,337,349,355,367,373,385,388,399,405,420,422,431,440,597,606,611,621,633,641,650,655,661,669,680,693,695,711,714,726,730,741,751,762,763,772,786,795,802,807,822,824,833,847,849,860,868,879,887,899,904,911,923,928,937,942,959,961,973,978,986,999,1005,1019,1027,1035,1037,1053,1059,1063,1077,1079,1094,1101,1109,1120,1127,1133,1145,1150,1162,1168	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,12,18,29,39,44,59,63,72,80,87,94,105,111,120,128,139,148,154,168,172,190,319,331,342,344,357,365,376,380,386,397,412,418,428,433,440,599,606,615,623,626,638,643,656,665,671,680,691,699,706,715,724,734,742,749,758,770,776,782,788,797,808,817,824,838,845,854,861,873,875,890,892,902,916,918,926,941,946,955,965,969,982,986,998,1006,1015,1027,1034,1042,1053,1059,1066,1074,1081,1089,1098,1110,1119,1129,1136,1142,1155,1161,1169	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,20,33,40,45,54,62,72,85,93,101,109,111,120,133,144,152,156,168,174,183,324,329,342,350,358,364,373,378,388,402,411,419,427,435,445,597,601,610,623,634,636,648,652,660,671,678,693,698,711,717,721,731,738,748,763,765,775,788,796,803,811,821,823,835,842,852,862,868,881,890,895,905,913,925,931,938,944,957,961,968,984,993,996,1007,1014,1024,1032,1037,1053,1056,1066,1074,1084,1091,1098,1105,1119,1124,1133,1141,1152,1158,1165,1177	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,10,17,26,38,44,54,67,71,83,93,98,108,112,126,129,139,149,159,163,170,185,321,330,336,346,354,369,375,385,388,397,410,416,427,432,438,598,605,613,622,627,641,646,657,663,674,685,692,696,706,718,728,736,742,751,761,766,779,788,794,798,810,818,828,832,844,849,859,865,880,884,898,901,914,923,928,934,942,958,959,969,984,985,1000,1004,1014,1023,1030,1038,1046,1057,1070,1074,1081,1094,1099,1109,1115,1125,1133,1142,1152,1158,1167,1176	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,12,18,31,34,46,52,64,72,80,87,99,103,118,119,128,137,147,154,170,172,187,322,329,341,345,356,362,377,379,391,395,411,420,427,432,444,466,605,613,624,629,643,648,657,663,676,678,694,698,707,712,726,736,737,754,755,764,775,783,795,802,807,816,831,837,840,857,861,869,879,888,892,907,908,919,927,935,946,957,966,970,981,989,994,1003,1018,1025,1032,1039,1052,1056,1067,1075,1084,1094,1098,1108,1121,1129,1138,1143,1148,1164,1167,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,9,25,32,38,43,58,64,69,77,89,98,106,113,124,136,143,150,155,169,177,317,321,331,336,351,353,363,373,386,393,399,412,418,427,431,443,598,607,612,623,631,635,644,656,665,673,681,686,702,703,716,720,730,739,752,758,763,777,781,789,803,809,820,826,833,847,853,859,868,876,883,895,901,916,920,928,936,945,952,959,973,983,986,995,1007,1018,1022,1030,1043,1053,1054,1070,1073,1081,1094,1098,1110,1121,1126,1131,1141,1154,1161,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,26,41,45,53,66,69,78,85,101,105,113,125,132,137,150,156,164,175,315,318,332,337,347,359,366,374,379,391,398,407,413,428,435,446,598,607,613,625,634,638,651,653,662,670,678,690,701,706,714,724,733,738,747,756,771,779,783,792,798,807,818,830,839,843,849,865,872,878,884,894,900,911,918,932,939,949,954,966,971,978,989,1001,1002,1013,1027,1032,1041,1046,1061,1068,1075,1086,1094,1102,1112,1115,1126,1134,1142,1151,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,20,31,39,43,58,60,76,82,88,95,105,114,121,135,139,150,156,167,171,315,326,328,343,346,359,362,374,385,394,401,409,413,421,432,441,451,609,610,621,628,639,651,653,666,673,678,688,703,708,713,728,737,745,747,762,764,777,787,790,800,806,818,825,835,842,852,864,874,879,884,896,908,909,917,926,936,948,954,959,970,985,987,993,1007,1013,1022,1030,1037,1052,1056,1068,1075,1084,1095,1103,1108,1120,1125,1132,1147,1149,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,33,40,49,53,65,71,79,85,97,102,112,127,135,142,148,154,169,172,315,324,330,343,344,358,364,370,381,388,401,407,420,421,435,445,599,603,615,625,632,636,649,653,661,676,679,694,696,706,715,723,729,746,748,756,765,775,784,793,804,812,817,825,832,842,850,858,870,875,883,898,906,913,919,932,942,948,953,961,970,983,991,999,1006,1013,1023,1030,1042,1049,1060,1062,1071,1085,1088,1098,1109,1117,1130,1133,1141,1148,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,20,31,38,47,56,67,71,79,92,98,108,111,120,132,143,145,160,169,171,314,321,335,342,349,354,366,377,378,393,395,411,413,428,433,440,597,603,617,621,631,638,649,653,663,672,685,691,695,708,712,722,731,743,747,761,766,778,787,793,798,813,818,828,833,840,855,861,871,874,883,891,907,914,924,929,942,947,957,963,974,983,985,997,1009,1018,1024,1029,1039,1048,1062,1066,1073,1080,1091,1101,1107,1116,1124,1135,1140,1152,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,17,28,37,45,52,61,74,77,88,95,104,115,121,128,139,146,155,169,177,315,319,330,337,347,355,363,370,385,388,397,409,419,421,436,440,448,602,612,625,633,637,644,654,666,676,685,687,699,705,712,727,737,742,752,762,768,776,788,791,797,808,819,827,835,842,849,861,869,881,890,896,907,916,920,931,941,942,951,965,969,982,985,999,1008,1016,1022,1033,1041,1046,1056,1065,1074,1079,1091,1104,1109,1114,1125,1132,1145,1147,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,28,34,50,51,61,68,78,85,99,110,118,122,133,139,151,155,166,174,314,323,332,336,346,358,366,373,379,389,401,406,415,428,434,443,598,608,616,624,634,635,646,660,661,672,685,693,701,708,716,723,737,741,750,760,766,778,783,790,799,814,818,827,832,844,856,857,873,874,883,897,901,913,922,932,938,944,957,967,973,983,989,1001,1007,1015,1027,1030,1039,1047,1060,1068,1072,1083,1091,1099,1110,1121,1128,1134,1142,1149,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,26,39,45,58,61,68,84,90,95,110,119,125,133,140,148,161,163,176,315,319,329,336,350,360,366,373,380,394,401,410,417,425,434,443,469,607,613,622,629,636,651,657,665,671,678,688,699,706,712,720,732,741,746,762,766,775,784,796,798,813,821,829,835,845,852,858,867,879,884,897,901,914,919,931,939,947,957,961,969,983,989,996,1005,1013,1021,1033,1041,1052,1055,1065,1078,1083,1095,1101,1107,1116,1121,1138,1143,1153,1157,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,33,37,44,57,63,68,81,85,95,104,114,126,133,137,149,155,167,174,180,325,331,339,345,352,368,372,384,390,402,411,420,423,432,444,600,607,611,625,632,641,645,654,665,669,686,688,699,706,714,728,729,742,748,758,767,780,782,791,803,810,815,829,834,843,855,859,872,877,882,898,905,916,922,930,936,947,955,968,974,978,988,995,1005,1015,1020,1033,1043,1049,1054,1069,1076,1086,1089,1104,1108,1118,1125,1134,1146,1149,1162,1169	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
0,11,19,32,41,49,53,66,74,78,87,94,105,117,120,129,138,150,154,163,174,316,321,330,337,350,360,368,374,385,393,396,403,417,422,430,442,453,608,615,618,633,639,647,658,664,669,682,691,701,708,714,722,729,741,746,759,771,775,782,791,805,813,818,827,838,848,851,858,868,881,890,899,900,911,923,931,936,943,957,966,973,980,993,996,1006,1017,1023,1032,1040,1053,1060,1066,1076,1087,1093,1099,1105,1120,1122,1134,1141,1148,1161,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,27,34,43,58,60,75,82,93,95,109,119,126,128,136,146,153,162,173,313,321,331,338,344,360,369,373,382,393,398,406,414,424,430,444,596,606,617,619,627,643,645,658,663,669,685,688,701,704,712,721,735,742,746,756,764,776,788,795,803,806,816,828,836,845,851,862,873,876,885,895,901,916,917,926,936,942,956,960,973,977,986,1002,1008,1017,1025,1028,1044,1047,1057,1065,1076,1083,1087,1096,1106,1114,1122,1135,1143,1147,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,25,27,35,45,55,64,72,77,86,94,105,119,121,135,142,151,155,168,177,313,321,329,335,347,352,364,375,381,386,399,410,414,427,436,438,597,601,616,622,628,641,651,654,665,670,679,693,695,704,717,728,732,745,749,757,770,775,782,794,799,807,817,830,838,844,849,864,872,882,890,892,903,915,924,931,939,947,956,964,968,984,990,1001,1007,1014,1026,1033,1043,1051,1058,1066,1075,1086,1092,1103,1111,1117,1126,1134,1145,1152,1160,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,26,34,51,59,66,76,83,87,95,108,114,120,134,144,149,161,164,172,318,320,331,337,349,358,363,370,380,392,401,410,412,425,435,439,598,603,614,621,633,637,644,659,667,670,686,688,696,708,712,724,734,737,750,755,769,775,784,790,799,808,821,825,835,846,854,860,872,876,890,898,906,915,923,933,940,946,954,963,971,984,986,1001,1010,1012,1024,1028,1044,1052,1055,1066,1074,1087,1089,1103,1107,1119,1124,1133,1147,1155,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,28,39,46,52,67,74,80,92,93,105,116,126,135,143,151,161,164,174,185,321,329,340,351,360,364,371,385,389,403,407,413,428,434,440,600,605,615,626,629,638,647,655,667,672,681,693,702,705,712,724,729,740,750,758,771,774,781,794,801,809,820,825,835,847,856,859,873,877,882,895,901,911,921,931,938,944,952,960,973,977,992,998,1004,1018,1025,1033,1040,1050,1060,1067,1077,1080,1088,1102,1107,1116,1122,1138,1146,1154,1158,1167	1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,14,19,26,34,45,52,60,70,81,89,102,104,117,122,131,144,148,156,166,176,317,324,328,341,349,359,368,373,378,389,403,405,420,427,435,443,599,604,612,625,630,637,650,653,665,672,682,689,697,706,715,722,730,738,747,756,771,776,781,790,798,806,820,829,839,842,856,863,868,881,890,894,905,915,922,931,941,949,958,964,973,977,991,994,1009,1016,1020,1033,1042,1048,1053,1069,1078,1085,1088,1101,1109,1119,1124,1131,1144,1155,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,23,33,34,43,56,62,69,81,89,98,102,118,126,136,142,150,160,165,179,317,324,329,338,345,358,365,374,378,394,402,407,416,425,433,440,459,603,612,620,631,641,651,653,665,671,685,693,702,708,712,726,735,745,753,754,763,778,780,792,801,812,818,827,834,845,853,860,871,875,887,893,905,914,917,933,937,946,958,964,971,984,993,999,1009,1011,1023,1028,1044,1050,1061,1069,1076,1083,1093,1098,1109,1119,1128,1135,1143,1148,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,33,38,48,56,64,74,83,90,94,108,111,127,133,140,149,157,162,175,315,321,331,343,349,355,367,373,384,394,398,409,416,422,432,443,469,602,613,622,632,639,645,652,666,676,682,692,702,705,713,727,737,740,750,762,767,775,782,795,805,806,821,824,832,844,854,862,874,881,890,897,900,911,923,933,936,946,955,963,968,981,989,1000,1003,1015,1022,1029,1039,1051,1053,1067,1075,1080,1092,1097,1105,1120,1126,1132,1142,1152,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,32,34,46,53,60,71,78,86,98,109,115,122,130,136,147,156,162,179,315,325,331,337,347,358,368,373,385,387,398,409,417,426,434,443,599,607,617,620,630,638,644,653,667,669,684,690,695,706,719,721,736,738,749,757,764,772,784,795,799,812,814,831,834,844,855,863,867,878,889,897,903,909,922,928,941,943,952,964,976,981,991,997,1007,1011,1026,1036,1037,1052,1059,1063,1075,1079,1091,1101,1106,1117,1127,1131,1146,1154,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,31,40,46,51,66,75,83,91,98,110,114,127,135,136,152,154,163,179,317,318,328,342,350,353,363,372,383,389,401,405,414,427,435,444,599,603,609,621,628,641,645,659,665,672,682,694,695,705,717,728,731,740,753,756,771,774,782,792,801,812,821,826,834,843,854,859,866,881,888,897,905,914,924,928,938,950,956,960,972,978,992,998,1006,1018,1020,1033,1043,1048,1060,1064,1077,1087,1091,1099,1110,1113,1130,1133,1139,1152,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,29,41,49,55,64,70,83,89,98,102,111,123,132,141,153,158,163,176,313,326,327,339,349,358,367,373,381,387,402,412,418,428,434,445,598,601,612,626,634,640,649,660,661,675,679,686,697,709,714,721,736,737,748,760,764,778,786,792,801,806,815,823,837,841,857,864,867,878,884,895,903,909,923,928,937,947,958,964,970,977,987,996,1010,1011,1024,1034,1040,1045,1055,1065,1076,1080,1090,1102,1108,1118,1124,1138,1141,1147,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,33,42,44,55,60,72,81,92,102,107,113,122,136,139,148,158,166,174,316,326,333,343,351,360,361,373,385,388,401,410,415,424,437,444,463,602,612,620,628,637,645,657,661,670,680,691,698,709,719,728,730,742,746,757,769,775,784,791,801,812,818,827,833,842,855,860,868,875,889,899,905,914,918,932,935,944,952,965,970,980,985,993,1010,1016,1026,1028,1040,1050,1053,1068,1075,1080,1087,1104,1112,1118,1128,1135,1144,1152,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,33,41,45,52,62,69,77,91,99,106,115,125,132,145,147,156,164,179,316,326,332,339,345,360,362,373,379,394,402,412,420,421,431,439,454,604,609,618,627,636,648,659,665,669,678,694,701,707,712,725,734,737,752,759,769,776,781,789,800,812,822,826,837,842,855,861,867,880,885,893,900,916,917,925,941,944,959,962,975,983,990,998,1007,1013,1027,1028,1036,1048,1060,1064,1077,1083,1091,1101,1112,1121,1127,1130,1139,1151,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,18,28,38,45,58,61,74,79,92,94,106,112,128,134,137,147,154,165,176,314,319,332,341,351,354,364,375,386,391,396,404,420,425,437,445,471,606,610,623,632,638,650,657,661,677,681,686,700,708,713,727,736,740,754,758,763,776,784,793,799,811,817,830,834,844,856,861,873,874,886,895,901,916,918,931,934,950,957,967,973,976,988,1001,1003,1015,1024,1031,1039,1046,1055,1063,1076,1081,1093,1099,1108,1115,1129,1137,1139,1148,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,27,36,45,59,67,74,79,87,95,108,115,121,134,142,152,154,165,176,316,326,331,340,344,352,361,373,385,391,399,406,415,424,435,443,452,602,613,618,630,643,647,658,660,676,682,690,701,703,717,727,733,739,746,757,765,776,787,795,797,811,816,828,839,845,852,857,869,878,886,894,902,908,924,932,939,944,956,962,971,978,990,999,1006,1011,1023,1031,1037,1052,1055,1068,1073,1082,1093,1103,1112,1116,1122,1134,1147,1152,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,29,40,49,51,62,69,78,93,97,110,117,127,133,142,153,157,163,173,317,322,328,341,351,355,364,374,380,386,399,412,416,425,435,442,597,604,616,623,629,640,647,654,664,674,681,693,700,704,716,727,735,740,748,757,768,776,782,791,802,806,814,828,833,847,856,858,873,874,888,895,907,911,922,928,939,950,956,961,969,983,989,996,1009,1014,1025,1033,1038,1046,1055,1068,1075,1083,1089,1099,1111,1115,1122,1131,1140,1155,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,31,37,50,57,64,76,80,90,95,103,119,125,128,138,153,158,163,171,313,318,332,339,351,356,369,375,383,394,397,411,412,424,434,438,598,605,610,619,628,635,650,657,669,676,684,694,695,706,720,726,735,743,752,756,766,772,781,793,802,813,814,827,832,848,856,863,866,878,885,895,905,910,921,928,936,944,953,961,976,978,985,999,1010,1019,1026,1028,1037,1048,1055,1069,1077,1081,1087,1100,1106,1116,1126,1137,1144,1152,1163,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,26,42,43,53,59,74,80,86,95,107,112,120,134,143,145,158,167,175,182,323,334,343,351,354,367,376,382,394,397,409,415,428,432,439,598,601,614,625,627,639,650,656,666,670,681,689,695,707,717,724,735,739,753,755,767,773,786,790,805,808,818,829,836,848,850,860,872,874,888,899,900,912,917,931,941,950,952,964,974,981,990,1001,1006,1018,1020,1029,1043,1047,1060,1065,1070,1082,1090,1098,1106,1118,1130,1133,1145,1147,1162,1169,1176	1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
5,12,18,31,40,44,55,67,68,84,93,97,103,115,124,135,143,149,161,167,173,188,324,330,342,351,359,361,376,382,391,395,405,413,426,437,442,452,602,616,623,628,636,650,652,665,670,682,689,695,703,718,722,730,745,748,759,764,774,781,788,802,806,821,827,839,846,851,858,872,882,889,891,902,916,924,933,935,948,953,967,972,979,992,994,1003,1017,1025,1028,1042,1049,1058,1070,1078,1079,1090,1103,1108,1117,1126,1134,1143,1150,1163,1164,1175	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,11,19,29,42,44,55,66,71,84,89,95,110,114,125,133,139,153,162,164,172,181,321,327,340,349,355,367,372,386,390,399,410,418,422,430,440,598,606,613,622,634,642,647,656,660,669,685,686,696,707,719,725,733,745,754,760,769,776,784,791,800,809,818,827,831,848,853,862,869,879,887,894,902,913,924,933,936,942,955,961,974,984,992,1002,1005,1016,1027,1030,1038,1045,1056,1064,1077,1079,1092,1100,1112,1114,1122,1137,1140,1149,1160,1172,1178	0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,11,17,33,38,48,58,60,74,83,93,95,109,119,123,132,144,150,158,168,176,199,323,331,340,350,359,364,372,384,390,402,407,413,422,434,443,600,608,615,621,632,635,649,653,666,674,683,690,696,705,719,722,731,745,754,762,770,779,786,796,800,808,821,824,836,842,850,859,872,875,889,898,905,911,917,928,937,946,959,967,968,977,993,998,1004,1016,1026,1030,1043,1052,1059,1069,1077,1079,1091,1104,1110,1114,1124,1131,1146,1149,1162,1165	0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,17,26,38,48,57,65,71,82,92,100,105,118,120,134,144,146,160,169,178,196,319,331,337,345,360,365,377,378,389,402,408,420,424,429,441,451,608,610,624,630,635,644,653,661,676,679,689,696,708,718,728,730,738,750,756,763,774,785,794,798,813,815,827,836,847,851,861,868,875,890,896,903,911,923,930,938,948,958,965,973,983,987,999,1003,1012,1024,1034,1036,1045,1061,1063,1077,1081,1092,1099,1110,1113,1129,1131,1140,1152,1157,1172,1174	1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,14,24,28,35,46,52,65,71,83,85,100,103,118,124,133,141,149,155,169,177,182,324,333,341,349,353,369,370,380,394,402,405,419,427,429,439,466,609,613,624,631,642,647,652,664,671,685,689,700,711,715,722,731,742,748,756,768,774,788,795,802,813,822,825,834,840,848,860,867,881,888,892,906,908,924,933,940,945,953,963,976,980,993,1001,1007,1016,1020,1035,1043,1050,1055,1069,1076,1080,1088,1100,1104,1121,1129,1135,1143,1152,1161,1168,1178	1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,10,23,32,39,48,54,61,73,82,92,98,109,113,125,136,138,146,158,163,176,179,325,332,341,351,355,368,372,382,391,401,410,416,426,434,442,598,606,617,625,629,642,645,657,664,669,678,688,697,703,713,724,737,739,753,762,768,778,782,794,800,806,819,830,839,845,851,857,865,874,888,896,901,911,917,929,938,947,958,961,971,980,989,995,1002,1012,1027,1031,1038,1053,1059,1063,1073,1085,1093,1096,1108,1116,1127,1134,1144,1148,1164,1165	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,14,21,25,42,47,53,67,71,83,93,99,102,117,123,131,139,147,156,164,178,179,319,326,343,350,357,367,376,378,388,401,406,412,427,431,442,600,603,610,623,632,640,644,657,665,671,682,690,696,705,713,727,730,740,746,757,766,775,781,793,798,807,821,829,834,840,852,860,866,877,883,896,903,916,922,930,940,944,956,968,976,981,988,996,1002,1015,1023,1030,1041,1050,1056,1065,1076,1086,1089,1097,1112,1117,1124,1135,1145,1154,1164,1168,1177	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,25,29,34,49,57,61,70,81,89,98,106,115,125,135,139,146,155,169,173,315,319,335,340,349,355,362,373,379,389,398,411,419,423,434,442,597,603,611,621,627,641,644,658,662,675,684,692,695,709,715,723,731,739,751,762,770,772,784,789,799,808,821,826,834,846,850,865,873,881,883,898,905,912,917,933,936,947,953,963,969,981,985,1000,1005,1013,1025,1030,1040,1049,1057,1067,1078,1080,1096,1097,1106,1121,1125,1138,1141,1153,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,27,41,50,53,62,70,80,88,94,104,114,125,130,140,145,161,167,176,195,320,335,336,352,356,364,373,383,391,398,406,417,420,433,445,598,603,617,618,630,639,649,655,663,675,679,691,700,705,713,723,737,743,750,758,766,777,787,790,804,808,820,825,833,845,854,863,868,878,889,895,904,912,919,929,938,949,955,961,974,978,989,999,1004,1013,1022,1029,1037,1051,1061,1069,1077,1087,1091,1097,1111,1116,1123,1130,1145,1151,1156,1165,1173	1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,16,18,27,34,47,56,63,76,84,86,100,102,117,126,132,137,149,162,169,176,186,324,335,342,352,354,364,369,384,393,398,405,416,424,430,442,596,607,613,623,629,636,646,659,665,671,681,690,701,707,717,723,732,740,749,760,765,777,785,795,800,810,818,826,833,846,851,858,868,877,888,895,906,914,919,928,938,948,954,964,976,983,991,999,1004,1017,1023,1030,1044,1053,1055,1065,1076,1080,1093,1100,1106,1119,1126,1131,1142,1152,1157,1173,1176	1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
7,13,22,28,38,44,59,61,70,80,86,96,110,113,123,129,143,146,158,165,179,180,324,327,343,348,353,369,377,381,390,399,411,412,424,434,438,600,606,615,622,630,641,649,656,663,670,682,691,698,710,719,723,735,744,752,755,764,774,781,796,800,813,821,824,831,846,854,862,869,882,884,893,900,915,921,926,937,948,955,963,968,977,992,999,1005,1013,1020,1029,1041,1048,1060,1066,1078,1079,1093,1099,1107,1116,1125,1134,1145,1150,1162,1172	1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
8,11,19,25,40,50,52,62,68,83,86,96,104,115,120,135,141,150,160,162,173,183,322,331,338,348,355,363,374,383,390,398,405,416,421,434,440,598,607,611,619,631,641,650,653,668,671,685,692,697,710,717,721,729,745,749,757,766,774,785,788,804,807,816,828,835,847,854,857,869,880,887,894,900,912,922,933,938,947,953,964,976,980,987,996,1006,1015,1027,1030,1041,1050,1061,1067,1075,1082,1094,1097,1112,1116,1124,1137,1143,1151,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,17,31,36,46,58,61,72,84,91,98,106,117,121,133,141,152,158,168,175,192,321,329,339,348,360,366,374,383,386,401,406,417,422,437,441,598,603,616,626,633,641,646,660,668,675,679,687,700,704,711,720,737,744,751,756,764,774,781,790,804,807,820,825,835,848,849,860,870,881,882,896,901,911,922,932,935,945,953,960,975,983,990,999,1005,1015,1020,1033,1042,1046,1058,1069,1078,1084,1090,1096,1112,1113,1123,1134,1140,1149,1161,1171,1175	0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,11,17,33,41,49,58,66,69,80,86,96,108,116,124,128,140,146,155,165,178,188,325,335,343,346,358,363,369,384,389,402,406,412,425,429,439,598,608,616,623,633,635,649,659,661,670,681,693,702,704,717,724,731,740,752,756,764,778,783,790,800,810,822,826,834,847,852,859,871,877,884,894,904,911,922,931,937,945,959,963,969,984,987,995,1005,1016,1024,1028,1039,1048,1054,1064,1076,1087,1093,1099,1106,1117,1124,1136,1141,1148,1158,1172	0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
2,11,23,25,34,50,51,64,74,78,86,97,106,114,127,136,143,145,159,168,173,317,324,328,338,344,356,363,373,380,391,402,406,416,423,436,443,596,602,610,621,630,636,644,655,664,677,685,688,701,707,713,728,734,744,753,758,768,778,782,797,804,809,817,829,836,845,851,859,870,874,887,896,902,909,925,927,938,949,956,962,969,984,985,994,1010,1012,1024,1031,1039,1051,1055,1064,1076,1084,1092,1097,1106,1114,1129,1130,1145,1150,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,33,41,49,59,61,68,79,87,97,108,112,127,132,141,153,156,163,177,317,318,330,341,350,353,362,372,381,388,402,411,417,428,435,440,459,603,612,626,633,640,646,659,667,671,684,688,701,705,714,724,735,745,750,760,766,774,784,794,801,807,818,828,835,840,851,862,873,878,890,894,906,911,922,926,937,944,956,967,969,977,987,999,1004,1017,1024,1031,1038,1047,1057,1062,1076,1085,1090,1096,1105,1115,1126,1136,1145,1147,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,28,37,47,51,66,68,81,93,94,107,115,121,131,145,147,156,164,170,317,320,332,336,345,357,367,372,378,392,400,412,419,420,436,439,454,606,615,622,628,640,646,657,667,673,681,694,697,706,718,727,735,738,753,757,765,772,785,789,802,809,818,823,838,843,856,859,865,875,890,896,905,912,924,929,941,942,959,965,976,982,986,1001,1006,1018,1026,1031,1044,1045,1056,1067,1071,1080,1094,1104,1107,1119,1129,1137,1146,1154,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,31,39,44,56,62,70,83,89,101,110,118,119,132,144,151,154,163,174,313,323,329,342,345,360,366,374,381,391,398,409,416,427,432,440,599,608,616,619,633,640,650,657,666,672,678,690,697,705,719,724,731,739,754,755,767,779,783,791,800,814,818,825,839,842,855,861,867,879,886,898,904,911,921,926,939,950,955,964,973,978,987,995,1007,1013,1026,1031,1038,1047,1053,1064,1071,1085,1096,1103,1108,1120,1124,1135,1147,1151,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,29,35,45,52,62,69,80,87,102,105,117,121,133,143,151,161,167,174,315,318,331,337,349,359,364,373,385,394,400,412,419,426,429,438,466,608,611,618,631,637,643,657,667,671,683,689,702,709,712,724,737,742,751,762,766,775,788,793,800,810,815,828,837,843,854,864,870,880,891,895,903,913,916,929,935,946,954,965,973,984,991,1000,1003,1013,1026,1029,1039,1051,1058,1062,1077,1080,1090,1099,1105,1120,1126,1138,1146,1150,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,33,35,49,58,64,75,83,89,97,104,112,120,135,139,151,160,164,175,314,323,332,336,345,353,367,372,381,387,401,407,413,424,431,439,470,605,610,618,631,636,643,660,666,672,683,688,696,703,712,723,734,740,752,757,770,774,785,796,804,812,817,829,837,847,854,864,869,880,885,892,906,913,917,933,941,947,957,966,971,983,992,994,1002,1014,1021,1033,1044,1051,1060,1064,1070,1079,1094,1102,1112,1116,1129,1136,1142,1155,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,31,36,45,56,63,73,79,90,99,102,118,125,129,144,149,157,166,171,317,321,333,341,347,355,365,376,378,392,396,408,420,427,435,445,454,601,612,618,628,638,645,652,666,671,682,694,703,709,716,728,733,738,748,757,763,779,788,792,804,812,816,827,833,842,855,860,868,880,883,899,907,910,924,933,939,944,956,960,976,978,986,994,1008,1014,1020,1032,1039,1053,1054,1067,1078,1085,1089,1104,1109,1115,1125,1130,1144,1150,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,20,29,35,50,53,61,71,78,85,99,105,115,121,130,138,151,156,163,171,313,319,331,338,347,359,364,377,381,388,399,404,419,421,432,440,597,602,612,618,631,640,651,655,668,675,679,686,701,706,718,720,732,743,752,758,768,778,783,793,798,814,819,824,833,842,855,859,871,880,890,892,907,914,923,930,936,946,957,961,974,983,988,996,1003,1018,1024,1035,1040,1048,1054,1065,1075,1086,1094,1100,1111,1117,1122,1133,1143,1150,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,18,27,40,45,55,62,71,82,89,94,109,116,126,129,142,153,155,168,174,181,322,334,341,347,357,366,370,384,392,401,410,416,422,433,439,456,608,610,618,633,638,649,652,664,671,682,691,695,710,718,726,736,739,748,758,768,778,787,791,801,811,822,823,831,845,855,864,869,875,888,896,901,908,924,932,942,949,954,959,974,983,992,1000,1009,1016,1022,1034,1042,1049,1058,1067,1075,1086,1093,1102,1113,1115,1124,1131,1146,1152,1162,1171,1174	1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,24,29,35,49,55,61,75,83,87,99,103,114,127,136,143,147,155,168,172,314,322,331,342,349,358,366,373,378,392,402,408,419,422,430,442,465,603,611,618,630,642,643,652,661,672,684,691,695,703,712,725,729,744,753,759,771,773,785,790,802,807,820,830,836,846,852,862,871,877,889,892,905,911,924,932,935,946,951,965,969,980,985,1000,1008,1019,1022,1036,1038,1046,1061,1064,1076,1082,1093,1103,1113,1120,1125,1137,1140,1148,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,25,37,43,51,67,69,85,90,100,103,118,120,129,137,148,162,168,174,318,321,331,342,351,357,366,370,378,389,395,411,417,421,435,444,599,602,614,618,634,639,646,659,666,674,677,688,702,706,718,721,735,739,753,762,769,780,788,791,801,811,814,830,836,841,856,863,872,875,888,891,901,909,918,927,936,944,955,961,971,984,993,1000,1004,1012,1026,1029,1041,1051,1059,1070,1072,1083,1096,1101,1111,1120,1129,1133,1145,1153,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,32,37,51,56,66,69,83,92,95,105,117,126,132,141,146,153,168,174,313,323,329,342,350,354,369,376,381,391,397,410,420,424,430,440,599,604,615,619,633,638,646,655,667,672,678,692,698,708,716,720,730,742,752,760,764,773,786,791,803,809,821,823,838,843,849,865,869,878,885,894,907,911,924,931,934,949,951,965,976,984,987,1001,1002,1016,1023,1028,1037,1046,1054,1069,1073,1087,1095,1101,1108,1118,1126,1133,1145,1149,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,32,37,50,59,67,69,80,91,94,105,115,120,133,142,147,160,170,173,313,320,329,338,349,354,367,370,384,389,400,407,415,421,431,441,455,602,616,624,634,642,646,656,665,674,678,693,696,708,717,725,733,741,746,760,767,773,787,790,799,806,814,825,837,846,852,861,869,877,883,892,902,909,922,929,937,947,956,961,973,982,990,1001,1005,1016,1022,1035,1042,1052,1061,1069,1076,1083,1089,1097,1109,1121,1129,1136,1147,1152,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,25,38,44,53,62,73,81,87,102,104,118,124,128,138,145,161,164,175,181,319,335,339,352,354,366,374,379,388,399,403,416,421,432,438,598,604,610,623,632,640,646,657,669,675,683,686,698,711,715,726,730,740,752,760,771,775,780,794,801,810,822,826,835,843,849,858,865,878,883,895,905,914,920,928,937,948,955,960,973,978,987,994,1005,1016,1026,1029,1042,1045,1060,1069,1074,1082,1095,1097,1105,1115,1125,1132,1146,1149,1158,1169,1177	0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,17,25,36,46,56,68,72,79,90,96,107,111,121,135,140,152,154,167,174,313,325,330,342,344,360,361,375,381,392,396,407,419,427,431,446,599,604,613,620,626,635,644,654,666,675,680,692,698,708,717,721,734,745,748,758,766,771,781,792,803,807,822,825,838,842,854,860,868,881,889,894,900,910,918,932,941,950,958,963,975,977,988,994,1005,1016,1026,1036,1042,1047,1056,1067,1070,1081,1096,1102,1109,1117,1129,1133,1139,1150,1164,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,27,37,49,56,60,76,82,92,97,107,118,120,135,140,146,155,162,171,315,323,334,342,351,353,362,376,383,394,402,407,414,424,430,444,458,604,617,620,630,642,644,654,665,672,680,688,699,709,714,720,730,740,749,758,769,776,781,792,804,810,820,824,834,843,854,861,868,880,883,891,901,916,918,927,937,945,958,960,970,984,993,994,1004,1016,1023,1036,1038,1046,1061,1067,1074,1085,1090,1101,1112,1119,1123,1135,1142,1152,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,25,26,36,50,55,63,75,82,85,97,106,114,119,131,141,150,161,162,173,317,319,330,338,346,356,363,372,380,392,396,410,418,424,433,445,598,608,612,621,631,638,649,652,662,675,680,687,698,703,714,723,734,742,749,758,770,775,780,792,803,805,820,828,834,844,853,862,868,879,884,893,903,909,923,931,939,947,953,960,969,980,985,996,1004,1014,1027,1030,1042,1048,1054,1069,1070,1081,1092,1103,1106,1121,1122,1138,1146,1153,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,29,36,51,53,66,76,79,88,95,105,115,125,128,144,146,161,164,173,318,325,328,341,347,357,361,374,378,389,402,406,419,420,429,445,596,604,612,622,628,639,645,652,665,674,678,692,699,708,715,727,736,741,750,757,763,775,785,793,801,808,817,826,835,844,850,863,871,879,888,899,902,915,920,927,934,949,959,960,970,980,987,997,1008,1019,1021,1028,1044,1046,1059,1063,1074,1083,1092,1098,1112,1115,1129,1131,1147,1149,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,19,26,36,45,57,64,73,77,89,101,107,119,124,129,141,150,162,167,172,315,319,335,338,350,360,367,369,379,392,401,408,419,428,434,439,463,607,615,623,627,640,651,657,668,670,678,688,700,705,718,722,734,746,752,763,764,779,784,796,801,807,816,828,838,840,855,863,871,874,884,897,906,916,919,926,935,942,956,965,976,981,992,995,1009,1015,1021,1029,1042,1047,1057,1066,1070,1087,1091,1103,1105,1121,1127,1136,1144,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,27,39,51,52,61,72,84,92,101,107,115,120,134,144,151,158,168,177,315,323,334,336,349,352,364,371,383,391,403,409,414,426,431,446,596,606,616,620,628,639,649,653,663,674,685,687,701,708,715,727,731,738,754,757,766,777,782,791,802,806,819,823,836,846,849,859,873,881,884,894,903,912,918,925,935,949,952,966,968,983,986,994,1009,1013,1025,1029,1041,1046,1055,1066,1071,1084,1090,1103,1107,1115,1130,1131,1143,1153,1162,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,19,25,34,44,53,65,70,79,87,94,104,114,122,133,139,150,158,165,171,317,322,327,339,345,353,361,375,386,389,398,406,417,425,437,440,465,608,614,623,628,642,648,655,660,674,685,687,702,706,712,725,731,739,746,759,766,777,781,796,799,814,818,828,839,844,853,862,873,877,886,892,905,908,923,928,941,947,952,965,970,984,987,997,1009,1017,1021,1028,1040,1049,1053,1064,1074,1084,1089,1102,1111,1116,1122,1133,1145,1151,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,27,41,46,58,64,72,85,93,97,107,111,126,135,142,152,154,168,177,316,322,332,343,350,352,363,375,386,389,402,408,416,425,436,443,600,608,615,620,627,642,646,658,667,672,684,688,701,703,712,720,730,742,751,761,768,775,780,792,799,809,817,825,833,846,851,862,871,877,885,898,906,914,919,930,936,948,959,962,969,979,986,999,1002,1015,1025,1033,1039,1052,1060,1067,1077,1079,1087,1096,1105,1116,1122,1134,1138,1150,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,34,42,49,59,66,74,81,87,96,105,118,126,132,136,152,156,170,174,316,326,330,340,347,355,362,372,386,388,401,406,413,425,436,442,597,601,609,623,627,639,646,657,666,676,686,689,698,704,720,721,733,739,753,762,766,775,783,791,801,808,821,824,838,846,854,857,873,876,890,894,902,914,917,932,939,949,951,967,974,978,986,996,1003,1012,1021,1035,1038,1051,1060,1062,1071,1084,1090,1104,1105,1114,1126,1136,1140,1149,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,25,41,46,52,68,72,77,91,96,106,114,123,136,138,146,159,163,177,314,321,331,336,351,359,368,373,379,392,397,411,419,427,429,441,596,608,609,622,629,638,647,657,661,673,685,688,695,704,720,722,732,739,752,756,764,776,783,789,798,813,815,824,833,843,854,858,866,882,889,892,902,911,923,931,934,950,951,968,969,981,989,996,1009,1011,1027,1028,1042,1050,1056,1068,1070,1079,1091,1100,1111,1121,1125,1130,1141,1154,1157,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,25,42,48,58,67,72,81,92,96,110,114,120,135,140,148,160,169,176,316,323,329,343,352,360,367,375,384,391,397,403,412,428,431,444,598,607,611,619,632,640,646,656,664,672,681,691,695,710,716,725,737,739,748,761,765,777,781,788,799,810,821,824,833,848,856,863,872,878,890,892,904,912,922,927,934,947,952,967,968,984,992,997,1003,1017,1022,1032,1040,1049,1056,1065,1070,1081,1096,1100,1110,1118,1124,1131,1141,1150,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,28,35,43,53,63,73,85,89,99,104,116,127,131,144,148,160,165,176,318,324,327,339,348,358,364,377,384,394,403,405,414,425,433,445,598,604,616,618,632,635,648,656,663,677,678,691,700,708,714,728,733,741,748,754,767,776,781,791,800,812,820,827,834,842,851,860,870,874,890,898,901,909,922,931,935,949,952,967,968,976,991,995,1007,1019,1023,1031,1044,1051,1059,1065,1072,1086,1095,1100,1104,1114,1123,1136,1140,1148,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,22,31,34,42,53,61,73,79,92,101,105,114,124,134,143,149,160,168,174,248,325,332,338,347,356,366,373,386,392,401,405,416,422,435,444,448,608,611,619,627,637,650,657,665,675,680,689,701,707,719,726,735,743,748,762,767,774,785,795,801,808,820,823,834,840,852,864,868,877,890,897,905,910,918,927,937,949,959,960,972,977,987,1001,1006,1011,1023,1034,1043,1052,1059,1065,1072,1082,1088,1102,1108,1113,1126,1135,1143,1154,1157,1170	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,22,32,41,43,53,64,74,77,92,97,106,111,121,133,141,151,155,168,175,182,319,331,335,352,359,364,374,382,392,395,409,414,427,434,438,457,604,613,621,628,635,650,660,668,674,677,693,696,708,713,728,737,743,746,761,763,775,785,794,803,806,816,830,833,841,854,860,872,875,888,891,902,911,918,928,935,946,954,967,969,979,989,1001,1010,1011,1022,1030,1039,1049,1054,1069,1071,1079,1088,1104,1108,1120,1130,1135,1144,1154,1158,1169,1174	0,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,13,20,33,38,49,53,61,72,79,87,100,106,111,120,130,143,153,158,162,174,317,318,332,342,344,352,366,370,379,387,396,406,413,423,430,438,463,607,611,618,627,639,646,653,663,670,684,691,695,704,712,726,731,741,753,762,763,777,786,791,804,813,816,828,835,841,854,865,870,875,885,897,905,909,919,929,934,950,951,964,974,981,985,998,1005,1018,1022,1036,1040,1052,1059,1068,1076,1087,1095,1104,1105,1115,1124,1131,1141,1152,1164,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,12,17,32,41,43,54,66,72,81,92,100,106,111,120,133,138,150,161,163,174,181,326,331,343,351,358,364,372,379,391,398,412,416,425,434,438,451,602,617,620,628,642,650,655,660,676,684,688,703,707,717,722,731,744,746,754,768,777,780,790,798,808,815,824,838,841,856,861,870,879,891,892,900,908,919,927,937,944,951,966,974,977,990,994,1009,1017,1026,1029,1039,1048,1055,1068,1070,1086,1090,1102,1109,1116,1122,1131,1142,1153,1157,1172	1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,12,18,30,41,45,59,60,71,83,90,99,109,114,121,136,138,145,158,162,178,183,322,330,340,351,353,368,369,384,391,400,405,414,421,434,445,600,603,611,621,627,636,647,659,664,670,683,690,702,709,720,723,730,739,748,758,769,775,785,790,797,806,819,830,838,846,849,859,872,876,886,895,907,908,918,927,941,946,951,967,976,981,991,996,1009,1016,1025,1029,1042,1053,1062,1065,1078,1080,1092,1102,1107,1119,1124,1136,1147,1148,1163,1171,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,13,23,26,37,45,54,62,73,82,89,101,105,112,126,130,143,146,160,170,171,184,319,329,338,348,354,362,371,383,387,398,404,412,427,431,440,460,606,617,622,627,640,651,653,665,675,680,688,702,711,714,721,732,737,754,755,768,774,781,788,802,808,820,831,836,843,850,863,871,878,889,895,904,913,919,931,937,943,951,960,969,983,987,997,1009,1017,1022,1027,1041,1046,1057,1070,1071,1083,1092,1096,1111,1118,1129,1131,1146,1151,1160,1165	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,20,30,36,46,54,62,76,81,85,96,107,112,125,135,137,148,157,167,178,180,319,334,336,350,359,366,377,383,394,401,410,412,425,437,445,598,606,611,622,626,642,650,655,667,674,682,692,694,711,714,725,735,744,751,761,771,779,781,795,798,807,814,828,836,845,851,860,866,874,890,898,902,909,921,927,940,944,952,961,970,981,985,998,1006,1016,1020,1031,1043,1050,1061,1066,1074,1083,1091,1104,1107,1114,1125,1133,1145,1155,1157,1166	1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
4,13,21,27,40,45,52,60,68,80,93,94,106,113,124,135,142,151,161,165,176,197,321,329,341,344,356,368,370,378,387,396,405,415,423,433,444,467,600,612,624,632,640,647,653,665,669,678,686,699,709,713,723,737,742,751,757,764,780,783,793,800,808,821,824,839,840,850,863,871,875,886,894,901,910,920,926,937,949,951,960,972,984,988,1000,1002,1019,1024,1030,1044,1047,1058,1067,1074,1086,1089,1102,1110,1121,1129,1137,1143,1153,1157,1166,1176	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,15,19,29,39,45,56,62,71,84,91,101,104,115,124,130,140,148,155,167,175,317,322,335,336,349,356,363,370,386,387,400,408,413,422,433,438,597,606,616,620,630,636,649,656,663,676,683,694,695,704,717,727,732,739,749,757,766,772,780,795,802,805,820,825,838,842,854,859,866,876,891,898,907,911,925,926,934,943,959,967,971,980,993,995,1004,1018,1025,1032,1038,1049,1057,1064,1071,1079,1089,1101,1111,1118,1129,1134,1139,1149,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,30,39,49,55,59,71,76,90,99,102,111,126,131,136,145,159,166,175,181,324,329,337,348,357,366,375,379,394,403,405,418,421,436,444,600,608,609,619,634,639,647,660,664,674,684,693,696,704,719,721,735,745,747,755,764,771,786,792,804,807,819,826,832,846,856,857,869,878,887,891,908,911,921,933,941,943,954,964,969,979,989,1001,1008,1013,1022,1030,1036,1045,1060,1063,1075,1081,1092,1099,1111,1118,1127,1137,1143,1153,1162,1166,1176	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
7,9,18,27,42,46,57,61,74,76,93,96,103,114,125,128,138,152,160,169,179,188,321,333,336,347,355,363,376,382,390,398,404,420,428,432,439,599,601,616,620,631,643,650,655,662,673,679,693,694,703,713,722,730,746,749,758,769,778,788,792,798,808,814,828,834,847,855,865,872,878,883,899,906,916,920,933,934,949,954,966,972,981,991,1001,1007,1019,1026,1031,1043,1048,1053,1066,1073,1085,1092,1097,1112,1118,1127,1134,1146,1148,1161,1167	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,25,31,40,48,58,63,71,78,92,94,107,114,127,131,137,149,157,166,178,189,318,329,337,345,358,362,377,380,393,402,406,413,422,436,444,597,605,617,622,631,641,648,652,667,676,678,691,695,704,719,724,733,740,749,762,768,778,788,790,797,808,814,830,834,841,854,863,869,875,883,893,899,912,918,929,939,943,956,961,976,984,991,1001,1004,1014,1027,1028,1043,1048,1060,1063,1075,1079,1093,1102,1107,1117,1128,1130,1143,1152,1162,1167	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,26,35,46,52,63,71,80,91,95,102,115,123,131,141,149,154,169,175,186,324,335,338,351,359,362,371,378,395,399,410,419,426,430,439,598,601,616,626,632,637,650,657,661,671,680,692,698,710,717,727,734,740,746,761,769,779,788,789,798,812,821,830,837,845,856,860,871,875,887,893,903,911,918,926,934,946,957,964,971,979,993,998,1007,1011,1027,1033,1036,1047,1057,1066,1074,1081,1092,1102,1107,1120,1124,1138,1146,1153,1159,1168,1173	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,19,33,35,48,56,66,75,80,88,102,107,117,126,136,139,153,155,162,178,179,320,334,341,344,357,363,374,381,387,395,408,413,426,430,442,597,601,610,618,634,640,648,653,667,672,679,688,701,705,714,726,735,737,749,755,765,780,781,795,802,806,819,825,831,844,853,857,866,874,885,899,904,911,923,927,942,945,955,967,974,977,992,1001,1002,1018,1026,1035,1041,1050,1059,1065,1071,1079,1095,1098,1108,1120,1128,1137,1143,1154,1156,1168,1178	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,9,19,33,41,43,59,63,75,78,87,97,106,117,124,135,141,153,159,167,174,189,323,333,342,351,360,365,370,381,394,398,403,418,423,435,441,462,607,617,618,635,641,649,656,664,674,679,688,700,709,718,726,736,742,749,759,766,773,782,793,802,809,817,826,832,840,856,860,867,881,886,894,906,912,918,930,938,947,957,963,971,979,990,996,1003,1013,1024,1035,1036,1046,1060,1066,1072,1080,1094,1103,1111,1116,1122,1136,1146,1154,1163,1165,1175	0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,15,22,32,41,46,58,65,71,78,86,98,104,116,127,132,138,153,159,162,175,317,323,333,337,349,354,367,371,383,392,401,407,415,422,432,442,453,607,611,618,628,641,647,655,667,670,683,693,697,705,719,726,735,744,749,761,764,776,781,792,805,808,819,823,832,843,851,858,870,877,889,895,901,915,919,927,934,948,952,959,971,982,987,994,1005,1017,1021,1030,1043,1050,1061,1070,1076,1085,1093,1104,1112,1117,1123,1135,1146,1153,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,29,36,46,57,64,74,81,88,96,104,116,127,130,138,152,155,163,176,313,319,329,336,349,360,369,374,379,389,401,404,415,422,437,446,451,606,613,619,634,635,650,653,663,677,681,687,699,707,715,723,733,737,754,756,770,772,784,797,801,811,818,830,832,845,855,860,868,879,890,898,900,914,921,927,939,949,952,960,976,978,989,998,1002,1011,1026,1033,1036,1047,1055,1064,1075,1080,1089,1098,1105,1116,1126,1131,1144,1151,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,29,34,46,59,61,74,80,91,101,107,111,124,133,142,152,154,166,172,317,320,329,339,352,359,363,371,384,391,402,405,416,422,436,438,456,604,616,624,634,641,650,658,664,673,677,691,697,709,712,724,729,741,746,758,767,771,787,796,799,805,815,824,836,843,852,859,873,882,888,899,902,911,923,930,939,946,954,968,969,978,990,998,1006,1017,1022,1031,1041,1048,1053,1067,1071,1084,1095,1097,1109,1118,1124,1131,1144,1147,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,33,41,50,54,62,72,84,88,100,108,112,123,128,136,150,158,164,176,313,319,335,340,350,359,366,375,382,392,399,410,419,426,430,440,598,606,611,620,634,642,648,656,662,675,685,694,701,708,715,724,736,746,749,762,769,772,783,795,801,813,819,828,839,842,850,863,867,876,882,894,902,915,924,928,936,944,951,961,968,980,990,994,1007,1010,1024,1029,1044,1051,1061,1063,1074,1083,1092,1098,1108,1118,1126,1138,1146,1154,1156,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,24,25,34,43,55,60,70,78,86,95,107,112,119,135,144,148,161,170,172,317,324,333,337,344,356,367,374,379,388,403,405,412,425,435,445,452,608,613,623,628,643,651,659,660,672,682,691,702,709,715,722,732,742,748,761,764,774,784,792,802,807,817,827,834,847,852,865,868,881,888,897,906,908,922,930,938,946,954,967,968,983,992,1001,1006,1011,1026,1036,1040,1045,1059,1065,1071,1082,1092,1102,1110,1114,1122,1134,1142,1153,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,28,42,50,57,65,73,78,85,99,103,115,120,129,142,146,157,167,173,316,322,333,335,346,355,362,376,381,394,402,408,420,427,436,440,600,608,610,622,630,640,649,659,664,676,684,686,695,708,712,728,732,738,747,762,769,778,782,791,803,813,816,831,833,847,849,860,869,882,885,892,905,909,919,933,934,946,956,967,973,978,993,1000,1008,1012,1020,1036,1037,1050,1054,1069,1071,1079,1089,1103,1111,1117,1126,1134,1141,1147,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,27,38,46,53,60,73,77,86,98,104,113,128,134,142,152,157,163,176,316,319,328,340,346,360,363,376,382,392,395,405,414,423,433,441,458,605,612,622,634,640,650,653,661,670,685,686,702,704,713,721,734,745,749,762,767,775,780,796,804,810,822,827,832,840,851,859,865,874,887,892,907,913,921,933,937,947,957,963,974,979,992,1000,1008,1018,1024,1028,1043,1051,1056,1062,1072,1087,1088,1098,1104,1113,1127,1132,1144,1147,1160,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,30,37,45,52,64,73,82,93,102,109,119,125,132,143,152,155,163,175,314,323,329,342,346,360,367,375,384,387,399,409,415,420,436,444,459,602,612,619,632,635,649,652,667,672,678,686,699,703,716,728,736,739,753,757,763,776,788,795,802,812,817,825,833,840,850,857,870,875,884,891,903,915,921,927,940,945,951,967,968,985,987,1001,1003,1018,1026,1035,1040,1047,1056,1066,1071,1082,1092,1096,1108,1118,1129,1133,1144,1151,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,19,28,41,45,58,66,68,78,91,97,106,111,123,128,140,153,159,164,177,193,319,332,335,350,360,361,375,379,395,400,405,418,421,437,441,466,608,615,622,630,636,649,655,663,673,682,693,702,709,718,728,729,745,748,756,764,775,785,790,804,810,816,827,832,841,850,860,872,878,883,894,905,912,918,927,936,943,956,963,975,980,988,997,1006,1019,1027,1031,1044,1051,1061,1070,1073,1084,1094,1100,1104,1117,1124,1138,1145,1154,1157,1167	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
0,8,18,26,39,45,53,65,73,78,89,94,110,117,119,128,141,145,161,166,173,317,325,333,343,351,360,361,375,382,394,397,411,412,424,437,442,597,604,616,620,627,635,651,655,668,674,678,691,695,708,719,724,734,744,749,758,771,779,788,794,799,808,819,826,837,848,856,857,873,882,885,893,899,910,921,933,939,946,953,961,969,980,990,1001,1007,1012,1022,1035,1044,1045,1055,1069,1071,1083,1095,1104,1105,1120,1124,1132,1144,1148,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,31,35,44,55,64,74,81,91,99,107,116,120,136,137,150,157,164,171,314,319,334,340,345,354,364,375,378,390,401,404,412,424,435,443,597,606,616,621,626,635,645,654,662,671,679,693,700,707,715,727,735,743,746,756,766,777,780,790,799,810,819,823,836,846,856,857,866,878,885,897,904,910,919,927,936,944,953,965,972,980,990,1001,1002,1018,1027,1032,1044,1045,1055,1067,1077,1080,1090,1101,1107,1115,1124,1130,1141,1148,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,17,32,35,47,56,64,75,81,87,97,104,118,120,135,143,145,154,165,179,317,321,333,342,351,352,361,374,385,389,395,406,413,420,430,443,466,603,614,625,634,639,644,653,668,677,683,692,697,706,714,723,736,745,747,758,767,773,784,791,802,814,821,829,837,847,855,863,868,874,886,896,908,916,920,929,938,946,952,960,975,982,987,1000,1003,1012,1025,1034,1041,1051,1054,1062,1071,1086,1089,1104,1108,1118,1130,1132,1145,1150,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,30,41,48,53,62,68,79,92,95,104,118,122,133,143,152,157,162,173,315,324,331,343,345,359,365,374,381,393,400,407,418,428,436,446,598,607,617,620,633,643,650,657,661,676,678,689,698,709,719,726,730,740,749,762,767,772,782,792,803,809,816,827,835,843,850,865,871,878,887,898,907,911,923,933,934,949,956,959,975,983,992,1001,1006,1018,1023,1030,1044,1053,1056,1065,1077,1079,1093,1097,1111,1118,1126,1134,1141,1153,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,30,35,44,51,65,71,81,93,95,105,111,122,135,141,152,161,165,178,181,319,329,340,344,354,368,377,380,387,398,406,412,423,434,438,597,603,611,623,627,638,646,654,662,674,682,690,697,709,719,725,731,742,747,762,770,779,786,796,803,808,818,828,834,843,850,864,873,880,884,894,905,915,920,929,941,945,954,964,970,981,992,997,1009,1018,1027,1031,1038,1052,1060,1067,1076,1083,1094,1104,1111,1114,1128,1134,1144,1149,1158,1171,1178	1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,17,30,41,43,55,67,76,85,93,98,104,116,125,132,137,148,154,169,175,315,322,328,343,344,360,367,375,381,393,401,409,415,421,431,438,599,603,609,625,634,641,648,656,669,675,682,689,694,703,719,723,733,744,747,757,769,773,787,790,799,811,817,824,832,843,854,864,865,877,890,891,908,911,924,933,939,949,958,962,972,984,990,994,1003,1013,1023,1033,1039,1051,1056,1064,1071,1087,1093,1101,1109,1120,1124,1135,1143,1152,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,26,38,42,58,60,69,78,87,99,109,114,122,131,145,151,156,168,176,317,324,326,338,346,356,363,370,379,388,403,410,415,428,436,439,598,604,615,623,627,636,650,653,668,675,683,692,701,710,713,724,737,743,749,757,763,778,782,789,803,813,818,823,838,844,856,858,871,875,889,898,900,916,924,929,937,944,956,964,970,984,987,1002,1007,1011,1019,1032,1036,1050,1054,1064,1071,1083,1091,1103,1109,1115,1126,1138,1146,1149,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,29,34,48,59,62,72,84,88,99,103,112,120,131,142,153,160,169,178,314,322,335,337,343,353,363,370,384,388,403,409,413,424,431,443,598,604,613,624,632,639,651,653,662,677,684,688,699,709,712,722,731,743,747,762,764,777,782,792,800,810,821,827,831,842,854,859,869,877,885,897,900,912,921,926,942,949,954,962,973,982,993,996,1007,1014,1027,1031,1044,1053,1059,1064,1075,1085,1088,1102,1111,1120,1126,1137,1144,1154,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,31,34,43,56,63,76,81,92,95,110,111,126,134,138,147,156,163,173,317,321,332,341,349,359,361,372,380,393,396,408,414,425,433,441,599,603,612,619,631,639,646,656,663,676,684,687,696,705,714,720,737,744,748,756,765,773,784,789,803,807,821,828,839,840,853,859,869,879,890,899,905,912,923,929,942,949,957,967,971,978,986,1001,1008,1016,1022,1028,1038,1045,1055,1066,1075,1079,1093,1101,1105,1117,1124,1137,1143,1155,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,18,30,37,47,53,63,70,84,86,97,103,116,120,135,140,148,157,162,173,315,323,334,335,351,354,365,372,386,389,403,408,413,423,435,438,596,608,611,619,635,639,645,652,664,673,678,691,700,709,712,728,733,738,754,759,768,771,784,795,797,807,815,825,835,842,849,859,865,879,890,894,902,911,920,928,934,950,951,964,970,980,990,995,1009,1014,1022,1028,1042,1052,1057,1066,1071,1081,1090,1102,1108,1121,1127,1132,1142,1149,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,27,36,43,54,63,68,77,88,99,105,118,124,131,139,152,154,166,172,313,324,330,336,345,355,364,377,384,387,399,407,413,422,437,439,600,605,615,619,626,636,646,652,668,673,683,691,695,711,715,721,730,745,748,756,765,779,785,791,804,808,819,827,832,841,854,859,868,880,888,894,901,909,922,930,937,948,954,960,972,983,987,999,1004,1013,1026,1030,1043,1053,1056,1066,1070,1082,1095,1100,1106,1114,1125,1135,1141,1155,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,31,39,42,53,64,75,80,87,94,105,112,121,131,141,148,160,170,172,316,325,332,339,346,352,363,372,382,392,398,409,419,425,430,444,596,601,614,619,634,637,647,654,665,676,682,690,700,704,714,721,729,737,750,760,769,774,783,796,797,806,822,826,833,844,852,859,866,880,888,898,902,911,920,933,934,943,954,966,973,979,987,1000,1006,1017,1021,1035,1037,1046,1056,1066,1072,1085,1094,1104,1109,1119,1126,1135,1147,1149,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,25,28,36,47,57,59,74,77,86,97,106,119,126,129,141,145,160,169,172,316,323,331,336,347,359,367,373,386,394,403,409,413,426,431,438,596,607,614,624,630,640,645,659,662,672,679,689,702,708,718,727,732,745,749,761,767,772,787,792,801,808,821,830,832,842,850,858,867,879,884,892,904,915,922,933,939,947,951,960,970,981,992,1002,1004,1018,1022,1030,1041,1045,1061,1065,1072,1087,1094,1100,1112,1114,1122,1136,1141,1152,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,33,36,45,56,63,75,84,92,94,110,114,124,133,138,149,156,166,177,313,323,332,343,349,357,367,372,386,387,402,407,417,424,430,443,447,602,614,621,634,639,647,657,665,674,683,687,696,705,719,722,735,740,750,758,769,771,788,793,802,811,814,831,834,844,852,863,867,876,884,891,901,914,919,932,936,946,953,964,972,980,992,994,1007,1017,1026,1032,1041,1052,1061,1069,1076,1083,1089,1097,1110,1121,1127,1135,1143,1147,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,33,42,44,59,68,73,82,89,100,110,111,124,132,140,145,162,165,177,314,326,329,341,348,353,367,374,378,388,403,408,415,425,437,443,600,608,609,619,629,635,643,657,662,670,681,691,700,703,718,723,737,745,747,756,763,777,785,789,799,812,817,827,836,846,855,858,870,877,891,899,900,912,921,928,939,943,952,959,973,983,989,994,1006,1011,1025,1030,1037,1050,1059,1065,1075,1079,1090,1102,1107,1118,1129,1135,1143,1148,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,25,40,44,53,61,72,79,90,97,106,118,121,134,140,150,158,166,175,313,322,331,338,347,353,368,370,378,390,401,404,413,420,437,445,459,607,616,620,632,641,643,654,662,673,683,692,697,708,715,723,736,744,752,762,765,779,787,793,802,807,818,823,833,843,850,863,869,877,883,894,903,912,918,930,936,943,952,962,971,981,987,1001,1003,1015,1026,1030,1041,1047,1057,1069,1078,1084,1088,1102,1105,1117,1123,1138,1145,1152,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,26,37,45,51,67,74,79,92,97,106,115,122,131,143,151,162,169,173,318,321,332,338,351,355,362,370,378,388,397,409,415,425,434,444,452,604,612,618,628,639,651,659,666,673,683,688,701,704,716,721,733,737,753,755,769,776,787,792,798,809,815,824,838,844,853,862,872,874,887,896,903,915,920,929,938,944,953,965,976,977,989,1001,1008,1011,1019,1035,1040,1052,1059,1066,1076,1086,1096,1100,1111,1116,1122,1136,1139,1152,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,18,28,41,44,52,62,73,82,92,101,110,117,121,131,142,145,160,169,177,180,324,327,338,348,358,361,375,382,393,397,405,414,424,433,437,466,602,616,625,631,639,646,659,667,677,683,689,699,709,715,727,735,744,749,756,764,777,786,788,804,812,818,826,839,847,854,865,868,878,887,895,901,913,924,928,939,943,958,965,974,985,993,1000,1005,1016,1021,1035,1040,1052,1061,1066,1070,1082,1088,1098,1105,1113,1128,1136,1139,1151,1162,1165,1176	1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,16,25,31,39,44,51,61,68,83,92,95,105,112,120,131,142,145,158,164,177,184,323,328,338,347,359,364,373,385,390,401,408,418,427,429,443,597,606,614,623,632,637,646,653,664,674,680,689,697,703,713,728,733,738,750,762,770,779,781,793,801,809,820,826,833,840,853,864,874,879,883,893,903,912,921,930,937,950,955,963,971,977,990,997,1006,1017,1019,1034,1040,1047,1060,1068,1077,1082,1088,1099,1109,1114,1129,1136,1144,1153,1162,1170	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
3,14,19,32,34,48,56,64,72,78,85,95,108,114,127,131,136,145,161,170,178,190,322,331,339,349,359,365,373,378,387,395,409,416,422,436,438,599,606,617,621,631,635,645,657,667,673,683,692,702,703,718,725,733,744,749,756,764,773,785,793,798,806,822,830,839,841,855,858,867,881,891,899,900,911,919,931,934,947,954,962,970,979,991,999,1003,1011,1025,1028,1043,1050,1058,1062,1074,1080,1095,1104,1112,1117,1122,1137,1141,1153,1158,1164	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
4,10,18,26,37,48,57,66,75,78,88,94,106,116,127,135,142,150,158,167,172,187,323,334,335,351,353,363,371,379,391,399,411,414,422,433,439,599,608,612,619,634,637,646,654,662,673,684,687,699,708,717,723,736,745,752,757,763,777,786,795,805,810,820,823,831,842,856,864,870,881,888,896,903,908,923,927,936,942,954,960,970,977,988,995,1005,1014,1027,1033,1041,1047,1057,1066,1074,1086,1091,1104,1106,1113,1129,1131,1143,1148,1158,1166	1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
7,15,23,31,38,48,53,62,73,80,90,95,105,118,119,131,144,151,155,166,179,185,318,329,340,350,357,361,371,385,391,401,407,419,426,432,438,469,604,616,625,627,640,646,656,660,673,679,694,701,709,716,726,732,743,752,755,766,774,787,792,799,808,820,826,837,845,851,865,867,877,884,899,902,909,921,931,936,946,959,961,972,978,990,997,1007,1018,1019,1032,1040,1046,1056,1068,1073,1086,1093,1096,1107,1113,1124,1136,1143,1150,1161,1169	1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
7,10,22,27,42,45,53,66,73,79,92,98,106,117,120,132,144,147,156,164,175,181,324,330,340,352,354,361,374,386,392,395,408,420,422,437,440,466,604,617,621,626,639,649,656,668,671,681,693,695,707,716,721,729,743,749,759,769,776,788,789,799,810,820,828,836,848,855,861,869,874,884,895,902,909,924,929,941,946,954,963,971,977,985,1000,1005,1015,1026,1028,1037,1049,1059,1063,1076,1083,1088,1101,1105,1118,1123,1131,1144,1151,1158,1169	1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,19,28,38,51,59,65,68,83,91,97,107,118,124,131,144,151,153,166,176,180,324,331,339,348,358,363,371,383,387,399,408,416,422,432,438,596,607,615,619,631,640,644,660,668,677,679,690,702,705,719,720,733,744,750,760,768,773,787,789,799,811,822,825,832,841,853,865,868,875,886,896,908,909,921,932,937,944,957,962,969,982,991,1000,1008,1011,1020,1034,1036,1053,1057,1063,1078,1081,1093,1097,1105,1121,1122,1130,1146,1147,1164,1170,1173	1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,11,20,27,40,51,54,63,73,82,89,97,109,114,126,132,142,148,155,170,178,190,326,330,339,346,360,367,370,378,394,403,408,416,424,429,439,599,608,611,624,632,641,651,654,664,673,679,689,698,708,714,721,729,742,752,754,768,778,787,794,798,811,819,824,835,843,851,860,866,875,883,892,906,914,922,933,936,946,954,961,971,977,991,998,1003,1010,1023,1033,1038,1049,1056,1063,1073,1080,1091,1103,1111,1116,1122,1132,1142,1155,1161,1170,1173	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,16,24,29,37,44,55,65,73,81,93,96,104,115,126,131,138,146,160,170,171,318,324,332,342,347,358,365,374,384,391,398,410,417,422,431,437,453,606,614,619,630,642,650,652,661,673,683,690,694,704,715,728,731,742,754,762,765,774,782,795,799,814,820,826,835,842,852,861,867,876,890,892,904,916,917,925,934,944,951,966,971,979,990,1000,1002,1015,1025,1030,1040,1051,1056,1067,1075,1084,1088,1103,1112,1113,1125,1131,1139,1154,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,32,35,43,56,66,69,79,89,96,106,117,125,128,138,152,160,168,172,185,320,331,339,347,358,368,377,385,390,399,411,413,427,431,444,447,603,610,625,633,639,651,660,661,675,678,689,698,705,717,725,735,739,754,760,770,773,784,795,798,806,820,828,839,845,854,859,872,879,886,894,900,915,921,928,935,949,956,960,969,979,991,998,1003,1016,1027,1031,1044,1046,1060,1069,1070,1081,1090,1098,1112,1118,1124,1138,1144,1150,1159,1167,1176	1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,21,27,42,47,53,61,71,78,89,101,102,117,125,131,141,148,157,164,174,196,318,329,341,349,359,363,376,382,394,395,409,419,429,430,438,599,602,610,618,627,641,650,656,661,674,685,691,698,709,713,725,734,738,754,762,770,777,788,797,801,809,821,831,838,845,850,861,870,879,887,897,906,916,921,928,939,946,958,963,974,983,992,994,1008,1012,1026,1035,1040,1052,1055,1067,1073,1087,1094,1101,1109,1119,1127,1138,1145,1154,1160,1165	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,19,28,36,45,52,67,76,80,90,98,106,111,122,136,143,150,155,170,173,182,319,332,335,344,355,364,374,379,389,396,412,415,427,436,440,470,605,613,622,628,643,644,659,663,673,684,690,696,711,715,722,729,742,750,755,769,772,782,789,804,810,817,827,835,845,851,864,868,875,885,892,901,914,920,927,941,949,955,962,976,983,985,998,1004,1011,1021,1031,1044,1049,1057,1068,1077,1079,1093,1104,1106,1114,1130,1135,1140,1149,1157,1171,1173	0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,19,28,39,43,56,66,76,84,87,94,104,115,123,133,140,145,160,167,172,180,320,332,336,351,352,362,377,381,388,397,405,420,428,437,444,599,604,615,623,627,642,647,660,668,672,678,691,695,710,716,727,735,744,752,755,769,778,786,793,801,810,814,823,831,846,855,864,868,881,887,894,907,911,918,933,939,948,958,965,971,982,988,994,1003,1013,1024,1032,1041,1045,1058,1062,1078,1086,1094,1101,1108,1115,1125,1131,1139,1147,1156,1167	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
0,9,20,27,38,46,51,67,72,83,90,100,103,115,120,135,144,146,155,170,178,186,318,327,340,346,357,369,377,380,388,396,405,414,425,430,443,468,602,616,624,629,635,647,658,664,671,678,689,700,711,715,726,729,743,746,759,763,772,788,789,801,809,820,827,834,844,856,857,867,878,889,893,902,916,922,931,940,943,951,961,976,977,985,997,1002,1011,1027,1034,1043,1052,1059,1063,1074,1085,1090,1097,1111,1121,1129,1138,1141,1150,1157,1166,1178	0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,22,31,36,45,54,67,71,82,89,100,106,112,126,132,137,145,160,170,176,181,322,332,343,351,359,361,371,384,395,399,404,415,422,431,437,466,602,616,623,628,642,643,652,663,670,682,687,700,706,715,726,737,742,753,760,770,774,788,793,804,807,819,827,833,842,856,859,871,879,887,894,900,909,921,933,941,947,956,962,972,977,988,1000,1008,1015,1021,1036,1039,1052,1060,1067,1074,1087,1092,1101,1107,1118,1126,1137,1143,1147,1159,1172	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,21,29,41,42,55,60,76,83,85,98,107,116,121,130,145,149,162,163,177,313,321,327,335,344,359,364,374,380,395,400,408,415,420,429,441,447,601,616,620,629,643,649,659,667,674,685,687,696,704,716,721,733,742,747,757,767,774,783,796,799,813,817,825,839,842,852,861,871,876,887,896,905,915,921,933,936,947,956,966,969,980,989,999,1004,1018,1025,1029,1037,1049,1055,1070,1073,1083,1089,1102,1105,1116,1121,1137,1146,1149,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,25,37,44,54,66,73,85,91,100,106,111,124,129,137,152,154,167,174,317,323,329,342,344,354,364,375,379,395,399,410,419,428,436,441,596,605,612,622,630,637,645,659,667,670,678,691,702,707,719,721,732,744,748,762,764,773,784,796,798,810,821,830,838,847,853,857,867,875,889,899,907,914,918,926,934,946,952,959,972,978,992,998,1010,1012,1021,1034,1039,1050,1061,1069,1075,1086,1089,1104,1107,1120,1123,1133,1139,1148,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,27,39,46,53,62,72,76,93,94,107,117,127,129,140,153,155,167,176,317,321,329,335,349,355,364,370,382,386,399,405,412,425,431,445,596,606,615,621,630,640,648,658,669,677,682,693,700,704,717,722,734,742,747,757,765,778,781,796,803,807,822,827,836,844,851,864,869,876,884,899,905,913,917,928,936,949,959,967,968,984,986,998,1007,1015,1022,1033,1041,1051,1057,1063,1073,1081,1089,1103,1105,1119,1123,1136,1147,1151,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,31,35,50,54,61,74,81,92,99,110,113,124,134,142,145,162,165,176,313,320,330,340,347,353,364,374,381,394,403,404,420,423,436,441,468,601,613,624,627,635,646,652,662,673,681,691,702,704,716,726,736,742,751,760,767,773,784,795,797,810,819,826,835,841,848,857,870,881,888,891,903,913,919,932,942,949,957,966,972,977,991,1001,1009,1015,1022,1028,1038,1045,1059,1065,1074,1085,1089,1097,1108,1120,1123,1131,1139,1150,1158,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,33,42,47,55,61,69,77,88,97,105,119,126,135,144,152,160,166,173,315,325,332,336,345,357,363,371,379,394,398,411,418,421,433,443,599,601,617,621,628,637,651,658,660,674,682,691,701,707,713,721,735,739,746,757,764,773,783,791,801,808,821,824,836,840,849,863,871,880,884,894,905,909,917,929,938,949,955,962,971,982,986,999,1007,1018,1025,1033,1038,1046,1054,1062,1078,1082,1095,1096,1111,1116,1128,1137,1140,1153,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,32,35,46,58,65,76,79,92,101,104,112,122,129,142,150,154,168,175,315,323,329,342,345,353,364,374,380,394,397,411,412,425,431,442,599,600,611,621,633,640,648,654,667,676,681,687,700,704,718,721,733,737,752,761,763,776,786,794,800,806,816,823,832,847,852,859,873,876,890,896,902,909,918,933,934,943,956,961,972,978,988,1001,1005,1012,1023,1029,1041,1051,1054,1062,1072,1083,1092,1097,1112,1114,1122,1138,1142,1149,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,17,32,36,45,58,66,71,77,92,97,104,114,125,128,138,149,153,170,178,316,326,329,343,352,355,365,370,382,392,403,408,415,426,432,440,599,607,616,626,628,635,648,655,668,672,684,693,696,711,716,723,735,744,754,755,764,777,781,789,801,806,820,828,833,841,852,864,869,874,890,891,900,916,922,930,942,945,958,964,971,977,986,1000,1004,1018,1026,1030,1044,1049,1058,1067,1073,1084,1090,1096,1111,1117,1122,1138,1144,1153,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,20,25,38,48,54,64,75,78,93,95,103,114,122,131,140,146,162,164,173,317,320,333,340,347,353,365,370,381,390,399,409,417,422,437,441,600,605,614,618,628,639,647,657,664,671,680,686,703,708,714,728,737,745,749,762,766,772,786,795,804,813,820,831,834,847,853,860,865,877,889,899,907,915,917,926,935,949,956,961,973,978,987,996,1003,1019,1025,1030,1038,1052,1055,1066,1078,1086,1089,1103,1107,1114,1127,1133,1145,1155,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,26,42,51,57,67,71,84,87,98,108,114,121,136,139,149,161,170,172,179,326,327,342,345,355,361,371,385,388,401,411,416,426,433,446,597,604,615,625,634,643,644,654,665,670,685,690,698,710,716,726,732,742,750,757,764,774,785,789,800,812,817,826,834,842,853,862,872,877,891,892,906,910,920,925,936,943,953,959,972,977,993,997,1007,1013,1026,1032,1041,1046,1054,1069,1074,1080,1095,1099,1111,1116,1129,1133,1143,1153,1157,1171,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
5,12,19,28,36,50,58,63,76,84,93,101,103,114,126,135,143,149,154,165,176,313,321,330,335,347,360,368,370,379,392,396,410,414,424,431,445,599,601,613,624,628,641,647,658,662,674,678,687,696,709,713,724,736,740,751,762,767,779,788,794,805,808,820,824,836,840,850,864,872,878,889,898,900,913,924,927,934,947,954,961,970,983,990,994,1003,1011,1023,1030,1043,1052,1055,1067,1070,1079,1092,1097,1113,1114,1129,1135,1139,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,30,36,49,54,61,69,77,88,100,109,113,121,131,137,151,153,168,175,314,318,327,342,348,352,364,374,383,388,396,404,413,425,431,442,598,608,613,624,634,643,651,655,666,671,679,686,702,706,718,723,736,738,748,760,765,772,783,794,805,806,819,826,837,843,853,864,871,878,885,897,904,915,922,930,936,945,958,960,971,984,989,995,1004,1012,1019,1035,1038,1050,1055,1067,1075,1080,1089,1096,1107,1115,1121,1130,1140,1156,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,19,33,38,45,52,62,75,83,90,96,102,116,121,130,140,145,155,170,177,314,324,332,337,347,354,361,373,380,394,400,407,412,426,434,438,462,608,611,619,632,639,645,660,664,675,683,690,695,709,712,723,730,742,752,758,766,772,787,792,801,812,814,829,837,841,853,857,870,875,889,892,906,911,917,932,940,948,956,964,975,984,992,999,1009,1019,1027,1033,1038,1045,1059,1068,1076,1080,1093,1097,1108,1121,1123,1134,1139,1152,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,22,29,41,42,52,65,75,80,93,100,107,115,127,132,141,151,158,164,177,317,319,328,339,344,356,361,377,380,390,396,410,416,423,432,443,597,609,611,618,626,637,643,656,661,671,682,693,695,705,719,725,733,740,752,762,765,772,784,794,803,811,814,825,833,848,851,862,873,882,890,896,903,913,919,926,940,943,957,964,969,982,991,994,1009,1012,1024,1035,1037,1048,1053,1069,1078,1087,1089,1103,1108,1118,1127,1136,1140,1153,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,17,33,35,50,51,61,71,77,85,93,110,113,121,130,142,147,162,167,171,180,320,333,342,346,352,365,377,383,388,398,407,413,425,437,443,596,608,613,618,630,637,645,652,667,676,684,694,698,705,720,724,729,741,754,760,769,772,780,790,804,813,818,827,839,843,849,859,866,879,886,898,902,916,919,925,938,947,953,964,968,977,993,1000,1008,1015,1020,1033,1044,1047,1054,1063,1077,1086,1091,1101,1112,1121,1124,1138,1141,1149,1159,1167	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,23,27,39,50,54,63,74,80,91,98,107,113,120,130,143,152,158,165,174,315,318,334,336,349,357,362,376,386,390,396,410,413,424,436,442,599,605,614,621,630,640,649,658,662,677,684,692,698,703,712,721,733,737,748,757,767,779,786,795,798,811,821,830,834,841,850,864,868,882,887,892,901,910,917,927,941,949,957,961,972,983,992,994,1005,1012,1020,1034,1042,1051,1059,1065,1076,1087,1092,1102,1110,1115,1126,1136,1139,1150,1158,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,31,36,49,56,62,75,82,91,95,104,115,124,128,144,149,156,163,175,315,322,329,343,344,355,363,372,378,387,401,408,412,427,430,445,469,605,617,618,630,638,644,657,666,673,685,689,697,708,715,726,735,739,747,757,767,773,782,796,805,806,821,828,833,847,852,859,873,876,884,893,907,909,922,927,941,943,954,967,973,984,987,999,1010,1014,1026,1029,1044,1050,1053,1062,1077,1081,1089,1099,1112,1118,1125,1131,1139,1152,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,31,41,49,56,60,76,79,88,97,102,116,126,128,143,149,160,165,174,317,324,330,336,351,359,367,376,382,392,395,410,415,426,433,443,447,604,617,624,628,642,645,658,667,671,684,691,701,711,714,726,736,741,749,762,764,772,782,791,805,809,822,823,833,843,850,864,872,875,890,896,906,909,917,932,937,945,952,965,969,979,985,994,1007,1012,1024,1035,1036,1052,1059,1066,1073,1085,1089,1098,1105,1115,1129,1130,1146,1150,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,30,41,47,53,67,70,84,92,95,104,118,120,131,140,150,159,169,176,315,320,333,340,349,352,368,374,383,388,403,404,419,427,434,444,449,601,615,625,629,635,650,654,665,669,683,694,698,707,716,726,731,738,751,762,771,780,785,796,800,812,815,825,837,845,856,864,869,877,886,895,906,909,923,931,937,945,951,959,969,982,987,1000,1005,1018,1024,1032,1041,1049,1060,1064,1075,1081,1095,1097,1111,1117,1127,1131,1146,1150,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,25,38,45,53,66,69,81,93,101,106,115,123,135,144,149,160,163,178,316,325,327,341,346,358,363,370,385,387,396,406,417,427,431,440,599,605,610,621,632,639,650,653,665,674,682,688,703,707,719,727,732,740,752,757,764,779,783,795,805,808,819,830,833,841,849,863,869,876,888,896,906,913,922,930,934,947,952,962,969,977,987,1001,1005,1010,1021,1036,1042,1050,1060,1066,1071,1081,1093,1098,1107,1119,1128,1131,1140,1149,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,18,32,34,43,52,62,68,83,93,101,109,117,124,133,140,152,160,163,171,316,326,330,337,351,353,361,373,385,395,396,406,414,424,433,444,598,602,615,621,634,635,650,656,663,677,678,694,699,704,712,722,736,744,754,756,766,777,785,794,798,811,821,827,832,841,851,857,866,882,886,892,901,911,917,930,940,947,952,967,975,980,989,1000,1005,1016,1022,1032,1043,1053,1057,1063,1076,1083,1089,1101,1108,1119,1122,1136,1143,1151,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,31,36,50,53,63,68,81,93,98,104,115,119,130,143,147,156,170,176,313,322,333,341,345,359,364,375,382,390,395,410,416,421,436,445,469,602,613,623,626,638,648,656,663,677,684,687,695,710,715,721,734,742,751,759,771,778,780,791,804,809,815,828,838,844,856,865,873,878,883,896,901,914,924,931,934,948,956,965,969,982,987,996,1008,1017,1023,1031,1041,1047,1055,1068,1074,1080,1094,1101,1106,1116,1124,1136,1140,1154,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,33,40,43,59,64,71,80,87,99,104,119,122,129,137,145,156,165,177,316,319,334,342,345,354,369,372,379,390,396,408,413,421,430,445,596,607,614,619,626,643,647,653,667,669,678,688,700,703,713,726,731,738,754,756,770,772,786,789,799,812,819,824,836,844,852,862,870,878,890,895,903,911,922,931,940,950,955,965,973,978,987,994,1010,1012,1021,1033,1043,1047,1056,1065,1072,1084,1094,1102,1109,1113,1122,1138,1146,1147,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,31,40,51,52,60,72,78,92,97,102,119,125,131,138,148,157,170,173,313,319,334,337,350,358,364,373,380,386,398,408,419,421,436,442,599,608,616,622,628,639,644,659,667,672,678,691,695,711,720,725,732,739,747,757,769,774,785,793,797,813,818,827,832,846,854,862,870,882,883,894,903,910,920,931,938,948,953,962,976,985,987,995,1005,1015,1024,1032,1038,1049,1062,1066,1072,1080,1095,1097,1106,1116,1128,1138,1143,1149,1159,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,32,37,42,52,61,70,78,91,95,102,116,123,129,143,153,162,163,175,314,321,330,342,351,353,369,371,383,392,398,406,417,429,434,440,600,606,611,622,633,639,651,656,661,671,684,687,699,709,720,726,735,739,750,762,765,778,783,795,803,813,818,828,835,844,849,864,873,878,887,893,905,909,923,933,935,943,953,967,972,982,991,993,1010,1012,1027,1028,1041,1047,1054,1063,1077,1082,1094,1100,1112,1117,1124,1134,1141,1152,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,23,29,39,42,58,61,74,77,91,101,107,118,122,134,139,149,160,170,175,317,322,332,343,346,360,368,373,379,390,395,404,414,421,430,442,597,605,617,625,628,641,645,656,668,675,678,692,701,705,715,724,736,744,753,755,764,773,784,791,801,806,820,826,838,845,851,862,868,878,885,894,905,916,923,927,938,949,954,965,971,983,986,996,1008,1014,1025,1032,1038,1051,1061,1065,1077,1079,1089,1097,1108,1121,1126,1130,1140,1147,1160,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,30,35,45,53,62,71,78,89,96,109,118,121,131,143,145,156,170,176,317,325,331,337,349,353,362,377,385,386,398,404,418,421,432,438,597,607,610,623,628,635,648,658,660,673,680,686,695,705,716,723,733,745,752,759,768,776,782,794,804,809,816,824,834,845,856,865,871,881,887,892,902,914,923,930,934,949,957,962,971,984,988,997,1006,1014,1025,1030,1037,1046,1054,1069,1073,1086,1093,1104,1107,1118,1129,1137,1145,1152,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,22,28,36,46,58,62,70,77,91,94,103,112,128,132,143,146,160,169,179,194,319,327,336,345,356,362,369,378,392,399,408,417,428,429,445,598,603,617,618,626,640,645,655,664,673,686,687,700,707,716,726,729,739,750,755,770,772,780,790,800,811,818,827,836,842,855,861,866,880,887,894,900,914,918,931,937,949,957,964,970,979,993,998,1002,1011,1023,1033,1038,1048,1058,1062,1078,1086,1093,1097,1110,1119,1123,1138,1145,1154,1162,1170,1175	1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,23,30,41,44,53,61,71,77,85,98,107,113,122,132,137,145,156,165,175,188,318,328,341,345,359,365,371,378,390,398,409,413,423,435,445,462,601,615,623,628,641,646,655,666,673,683,688,701,705,711,725,733,741,751,760,765,780,781,795,804,810,817,823,832,847,850,864,873,877,888,896,902,909,922,925,935,945,956,966,970,984,991,1001,1005,1011,1024,1036,1043,1048,1060,1069,1072,1082,1093,1104,1110,1113,1129,1133,1142,1155,1159,1166,1176	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,13,24,28,35,44,53,65,74,77,92,99,107,114,122,133,140,148,153,170,177,186,320,334,337,347,353,365,373,380,390,395,403,419,422,437,446,468,608,613,623,627,639,647,660,664,673,684,689,702,709,719,724,733,745,748,754,767,777,782,789,798,811,814,824,831,840,850,862,873,878,890,895,901,911,917,926,934,948,958,964,969,980,993,994,1008,1012,1026,1031,1036,1051,1061,1063,1075,1082,1090,1100,1109,1121,1124,1134,1140,1153,1158,1169,1178	1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1
2,11,23,26,41,49,53,66,68,78,89,98,102,117,124,133,137,152,156,167,171,181,320,329,338,349,357,365,372,382,393,401,406,412,427,430,438,598,607,613,620,634,637,651,654,663,669,682,687,697,703,714,724,736,741,747,757,770,774,784,792,805,809,815,830,835,845,856,860,866,878,885,895,903,915,923,926,939,950,952,962,968,983,991,996,1006,1014,1019,1031,1036,1048,1061,1067,1072,1085,1092,1102,1111,1118,1124,1133,1140,1151,1158,1168,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
3,10,17,34,37,44,59,66,74,78,86,101,109,118,127,128,136,153,158,170,171,184,318,332,341,351,354,363,370,379,390,402,411,418,422,437,444,468,601,614,622,633,642,648,658,664,671,684,686,702,704,714,727,733,739,754,760,765,779,785,794,800,813,816,830,839,847,851,862,871,881,883,896,908,916,917,927,934,949,956,967,972,983,988,1000,1008,1015,1025,1035,1037,1051,1056,1067,1078,1080,1095,1102,1107,1114,1128,1133,1143,1151,1158,1164,1173	1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,20,26,39,46,51,61,71,81,89,94,104,116,125,134,138,149,159,169,174,186,320,330,340,351,358,366,373,378,389,398,409,416,420,429,440,599,608,614,626,633,637,645,656,661,674,684,689,700,710,716,722,736,743,753,757,764,776,784,793,804,810,816,823,837,842,853,865,869,881,889,895,900,911,923,932,941,949,957,960,975,982,991,997,1009,1013,1020,1034,1037,1048,1060,1068,1077,1086,1092,1099,1107,1116,1125,1136,1143,1147,1156,1167	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,10,25,30,35,46,52,67,70,84,88,101,107,117,124,136,144,145,159,163,170,187,319,329,341,346,355,367,372,382,394,395,407,420,422,435,445,456,606,610,626,627,639,644,652,661,671,680,694,701,709,715,722,729,741,749,759,771,775,784,794,805,808,818,825,839,841,856,857,870,875,884,893,906,910,923,926,937,945,957,964,974,980,991,999,1005,1017,1024,1031,1036,1050,1061,1069,1073,1085,1094,1103,1111,1117,1129,1133,1145,1153,1162,1171,1173	1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,16,18,30,38,50,57,65,76,80,89,99,105,114,121,131,141,149,157,170,176,184,324,331,336,347,354,368,371,378,393,397,404,419,425,430,443,468,609,610,623,626,639,648,656,668,672,682,692,701,704,714,727,736,745,750,763,769,772,786,788,802,807,818,826,837,846,853,858,873,879,883,896,901,909,920,926,940,946,952,967,969,983,985,996,1005,1019,1022,1028,1036,1046,1061,1064,1072,1081,1091,1096,1105,1116,1123,1131,1140,1153,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
4,15,17,28,38,49,55,60,73,77,86,100,105,112,121,136,143,149,160,168,171,314,325,334,342,349,354,365,370,382,394,401,407,413,424,436,438,596,607,612,625,628,639,649,656,666,669,679,689,697,708,714,725,729,741,746,760,765,775,780,793,798,811,814,827,832,841,851,858,868,877,884,897,907,912,920,927,940,949,951,962,974,982,986,1001,1008,1011,1023,1032,1043,1045,1062,1063,1078,1080,1096,1102,1109,1121,1125,1136,1144,1154,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,31,39,43,58,66,74,77,87,93,110,112,126,130,142,147,159,162,175,317,320,333,341,347,353,363,373,380,393,399,409,418,422,433,444,447,607,614,624,627,641,650,653,668,677,678,687,698,709,719,725,733,741,746,758,768,777,786,791,802,805,816,824,839,845,850,861,870,882,886,898,907,916,919,933,940,947,959,964,969,982,992,999,1010,1015,1021,1032,1036,1050,1056,1066,1075,1082,1095,1096,1112,1113,1125,1132,1146,1150,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
4,12,21,31,36,46,57,68,69,84,93,94,102,117,125,135,139,151,157,169,171,197,325,332,337,351,356,368,374,382,390,401,412,418,425,429,439,449,605,617,625,633,642,646,658,662,672,685,689,696,711,719,726,729,745,752,759,765,775,780,792,805,811,822,828,839,847,849,864,871,875,889,893,902,912,922,931,934,946,955,967,969,982,990,998,1003,1016,1024,1035,1038,1050,1059,1063,1071,1079,1093,1099,1111,1117,1128,1131,1146,1155,1161,1165,1175	1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
7,14,18,29,37,49,54,66,74,77,87,97,109,112,127,128,143,151,154,169,173,183,323,329,338,345,353,362,369,386,395,398,411,414,425,436,441,600,605,609,624,630,642,644,660,662,677,681,688,694,709,717,723,730,738,748,762,767,772,785,790,802,810,816,829,837,840,848,864,866,878,887,895,903,913,924,929,934,945,951,962,970,981,986,997,1004,1015,1019,1033,1039,1048,1058,1063,1078,1087,1089,1104,1107,1115,1128,1131,1140,1151,1161,1166,1177	1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,10,21,29,42,46,54,65,75,81,90,98,103,116,120,133,137,152,159,167,172,187,324,327,341,344,355,361,371,379,387,401,405,415,429,430,438,599,605,614,620,634,640,649,654,661,674,685,693,698,705,712,727,734,745,748,754,768,774,784,793,798,808,816,826,836,848,851,864,872,875,888,899,901,913,919,926,937,948,958,961,972,976,987,1000,1005,1016,1021,1028,1042,1047,1055,1062,1071,1085,1091,1104,1108,1115,1128,1134,1139,1148,1157,1167	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,18,33,35,45,53,63,76,77,91,95,102,114,125,131,141,148,157,166,171,181,323,328,336,348,355,368,375,382,391,402,405,420,427,432,443,465,604,611,620,633,639,649,653,669,672,681,691,698,707,720,727,730,741,751,756,771,778,787,794,803,806,818,825,837,847,849,862,869,877,884,891,900,908,920,926,941,945,959,967,976,984,992,996,1005,1014,1022,1034,1036,1047,1060,1068,1072,1080,1095,1104,1107,1118,1128,1131,1145,1153,1157,1170,1178	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,17,33,38,48,56,62,72,85,88,94,109,113,127,132,137,150,154,168,171,188,319,332,342,344,357,369,377,384,392,402,410,418,424,436,443,599,608,616,623,630,639,645,652,668,670,680,692,702,704,718,725,730,745,748,761,766,773,787,792,798,810,819,827,835,846,851,864,872,882,885,895,901,912,920,925,938,947,958,962,969,977,991,994,1004,1015,1021,1035,1039,1050,1058,1070,1077,1085,1095,1101,1104,1118,1122,1136,1142,1154,1161,1170,1177	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,10,21,29,42,43,56,62,72,77,89,99,110,115,126,130,137,152,158,165,173,313,320,326,335,349,357,367,370,381,394,400,411,419,422,429,439,598,609,610,624,632,635,646,656,664,669,681,689,702,704,712,725,737,740,747,756,768,772,786,788,802,809,814,826,835,846,854,864,872,878,884,893,907,915,918,926,940,948,953,960,973,982,991,1001,1010,1017,1021,1029,1037,1049,1055,1067,1074,1080,1091,1098,1106,1116,1125,1135,1141,1153,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,26,41,46,53,67,75,78,90,100,109,113,126,132,138,152,161,170,173,316,318,335,340,344,354,362,372,385,392,399,410,419,423,434,444,597,605,609,619,632,640,644,652,667,673,678,690,695,706,715,723,735,740,753,761,769,779,781,792,802,812,817,830,839,847,855,860,873,881,883,896,901,915,919,933,935,946,954,965,968,983,989,1001,1007,1016,1025,1033,1044,1045,1054,1062,1078,1086,1093,1097,1113,1114,1128,1130,1143,1153,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,33,39,49,52,66,69,78,91,97,109,114,123,136,137,145,159,163,171,313,318,334,338,352,360,363,371,378,389,403,406,420,424,434,442,596,606,616,625,626,640,647,656,664,670,679,694,696,708,714,723,733,741,746,762,768,778,785,792,802,813,819,823,833,848,854,862,872,881,882,898,904,911,922,925,939,949,953,967,971,984,991,995,1005,1011,1023,1029,1040,1045,1058,1062,1072,1086,1087,1097,1113,1121,1128,1134,1142,1155,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,21,28,40,45,56,65,70,77,91,100,102,115,124,130,144,148,155,167,172,315,323,333,342,351,358,365,377,379,388,399,411,417,424,434,446,600,602,613,623,631,640,643,652,668,674,679,689,697,708,717,726,734,739,749,754,763,776,786,795,798,813,819,829,833,845,851,865,874,878,889,892,907,914,921,929,936,948,956,965,972,983,987,995,1008,1013,1024,1033,1036,1052,1061,1062,1073,1080,1095,1100,1105,1114,1129,1137,1145,1148,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,24,26,37,46,55,67,72,77,88,95,103,115,121,132,143,148,154,169,176,317,325,332,335,346,359,365,370,386,391,401,410,418,425,430,440,466,608,611,624,626,638,648,654,662,674,681,687,699,703,715,728,732,743,751,760,763,772,783,793,802,805,822,825,833,842,853,861,867,878,888,894,904,909,920,926,935,943,951,963,970,978,991,1000,1009,1013,1024,1034,1039,1052,1058,1062,1078,1081,1090,1102,1112,1118,1124,1135,1138,1147,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,33,34,42,52,65,74,79,86,99,108,118,120,133,142,145,157,164,174,314,325,328,338,346,360,361,371,384,392,398,405,419,424,433,443,447,603,613,619,632,640,647,654,665,672,680,693,700,705,713,724,734,742,749,756,770,773,784,795,797,806,819,828,836,840,849,862,872,881,888,894,903,914,923,925,935,946,956,962,975,980,990,1000,1005,1012,1022,1031,1043,1052,1054,1066,1074,1087,1090,1102,1113,1121,1124,1133,1144,1152,1156,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,19,28,39,44,52,60,71,79,88,102,107,115,123,136,142,149,155,165,174,313,324,331,340,348,358,366,372,379,389,398,406,420,423,434,445,471,609,613,618,629,635,649,656,660,674,683,693,699,705,719,722,731,744,748,760,766,774,784,789,803,807,814,824,834,843,851,857,872,879,886,898,904,916,921,930,935,943,954,960,971,976,993,999,1004,1016,1021,1029,1037,1053,1054,1065,1075,1085,1093,1098,1107,1115,1123,1131,1144,1151,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,25,33,37,47,54,60,74,77,92,100,102,117,124,131,145,149,156,163,177,313,319,331,338,346,360,364,374,383,390,400,409,413,421,434,443,596,602,611,621,633,642,647,655,668,673,683,692,698,709,718,723,734,740,749,759,764,777,785,789,802,811,821,829,836,848,851,863,865,879,884,893,905,909,917,926,936,943,956,966,969,983,990,1000,1009,1014,1021,1032,1041,1047,1060,1067,1077,1086,1091,1100,1105,1114,1122,1135,1146,1155,1161,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,32,39,49,51,64,74,78,89,98,107,119,123,129,142,150,160,166,171,318,325,330,339,349,354,363,377,383,389,402,412,413,423,430,443,600,604,615,623,632,637,644,654,665,674,685,690,697,705,713,720,736,739,747,759,763,777,783,794,805,806,816,824,838,845,850,865,867,874,890,894,904,909,922,927,941,947,957,966,969,979,991,997,1010,1014,1025,1029,1039,1046,1061,1065,1071,1079,1092,1096,1105,1115,1128,1135,1139,1148,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,19,31,39,43,53,66,72,81,90,93,103,112,122,134,139,149,157,166,175,315,319,334,342,348,360,368,374,380,394,403,407,412,425,432,445,596,603,610,619,628,640,648,655,666,670,682,689,697,710,718,724,731,744,750,760,770,775,780,790,805,807,817,824,831,846,849,860,868,876,890,896,902,914,923,930,937,947,952,960,968,979,989,995,1009,1016,1025,1035,1042,1047,1057,1069,1074,1082,1093,1098,1110,1120,1130,1136,1143,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,18,30,35,44,59,65,71,78,90,95,109,113,120,136,139,148,154,170,177,315,325,334,337,348,360,367,374,378,391,403,408,420,426,435,438,599,604,615,626,630,638,645,655,661,674,679,692,702,708,714,723,729,741,747,761,769,774,781,791,802,811,822,827,833,847,855,858,873,878,885,895,903,912,922,926,939,944,953,966,969,982,988,995,1008,1013,1025,1028,1036,1045,1061,1062,1075,1087,1088,1100,1112,1121,1122,1133,1140,1155,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,28,35,45,51,65,74,82,91,94,102,114,123,130,140,152,157,164,177,317,324,335,336,349,352,368,375,384,388,400,404,414,426,433,442,596,605,612,620,634,641,650,656,666,671,678,691,697,704,712,724,737,740,748,758,766,775,782,794,799,807,819,823,836,845,851,865,874,881,885,897,902,911,919,925,939,946,956,960,972,981,992,995,1008,1015,1022,1028,1037,1050,1059,1066,1078,1081,1089,1100,1105,1119,1130,1133,1143,1154,1164,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,25,32,38,45,57,65,72,83,91,101,104,118,126,135,144,150,160,165,173,316,326,331,342,345,354,361,377,382,388,402,405,413,425,429,439,596,605,614,622,629,642,645,653,667,677,686,694,702,704,716,723,733,745,749,760,763,777,782,795,798,808,816,828,837,841,849,857,871,874,886,896,903,910,920,928,942,948,959,961,973,979,988,997,1005,1010,1021,1035,1038,1052,1056,1067,1075,1079,1088,1102,1110,1114,1124,1131,1143,1154,1156,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,33,35,46,54,63,74,80,93,101,104,118,122,131,141,146,159,166,172,179,321,332,335,346,358,362,370,385,387,399,411,420,422,429,442,461,601,611,622,627,642,649,652,661,671,682,688,695,704,713,722,736,742,748,762,764,778,788,795,799,811,816,827,832,841,852,861,869,879,891,895,906,909,918,926,937,946,952,967,970,978,988,997,1003,1012,1020,1033,1043,1050,1058,1068,1077,1082,1094,1102,1106,1121,1127,1132,1143,1148,1159,1164	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
5,11,23,27,38,43,58,61,68,81,86,95,110,117,120,134,141,149,161,170,178,316,322,332,342,347,358,366,377,385,391,400,403,412,427,433,445,468,608,610,624,633,636,647,655,665,671,685,686,702,711,718,721,734,744,749,756,763,774,782,795,799,811,815,829,834,846,849,865,872,876,885,898,900,910,924,926,940,950,954,963,975,979,985,998,1002,1017,1023,1031,1040,1048,1056,1066,1078,1086,1087,1097,1106,1115,1124,1132,1142,1151,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,29,38,48,53,62,72,80,92,95,108,111,123,135,139,145,161,167,176,317,322,331,337,351,357,365,376,382,394,400,411,417,422,437,440,455,609,617,624,628,637,649,654,664,669,679,688,699,708,717,728,735,738,752,762,764,772,784,794,800,809,814,824,837,842,852,859,868,876,890,893,899,908,919,931,940,944,954,964,969,980,989,1000,1006,1015,1021,1029,1039,1048,1055,1062,1072,1086,1088,1096,1112,1115,1124,1132,1144,1150,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,25,33,34,45,57,65,70,79,86,96,103,116,127,134,139,148,155,165,175,316,325,332,341,344,353,366,369,380,395,397,406,417,427,430,442,600,609,616,620,630,637,648,660,667,677,686,691,699,706,714,722,729,740,753,762,766,778,788,789,803,812,821,823,838,843,850,861,874,876,885,892,907,910,918,929,934,949,953,966,970,981,987,995,1002,1011,1024,1032,1044,1049,1056,1064,1070,1080,1089,1103,1104,1117,1125,1137,1142,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,27,41,44,59,66,72,83,92,101,109,117,124,133,139,149,160,166,177,313,323,330,336,350,360,364,373,382,390,401,411,415,424,435,443,462,607,614,623,633,639,646,655,668,671,683,690,696,703,713,728,735,744,746,761,769,772,785,796,805,808,815,827,835,844,851,859,870,880,887,897,908,915,925,926,940,946,953,959,969,983,990,994,1009,1016,1021,1035,1040,1051,1053,1065,1078,1081,1087,1097,1108,1115,1123,1137,1140,1150,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,27,42,48,58,66,68,77,92,96,110,115,125,128,144,145,156,169,172,314,324,329,339,348,353,363,372,385,388,395,405,418,421,437,444,599,604,616,620,630,639,650,657,668,670,680,690,695,709,715,725,730,742,753,760,765,780,784,794,802,806,818,830,835,844,854,863,873,880,886,895,906,911,921,932,938,949,953,962,968,984,990,995,1005,1019,1026,1031,1040,1048,1055,1064,1076,1085,1089,1102,1106,1118,1128,1133,1146,1152,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,26,37,43,57,62,68,80,90,100,106,119,123,132,141,147,161,163,178,317,323,331,343,346,359,361,374,380,391,399,406,418,426,435,443,600,601,610,624,630,640,648,659,664,672,681,692,700,704,717,722,730,740,751,756,769,776,784,790,803,808,822,831,834,841,849,860,869,874,882,891,901,914,920,927,941,948,951,964,971,983,988,1000,1010,1013,1026,1035,1043,1047,1059,1069,1072,1085,1092,1103,1111,1115,1121,1138,1142,1150,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,18,26,39,48,54,67,76,80,89,94,105,115,126,132,142,151,160,165,172,315,326,333,335,345,356,366,371,382,387,398,408,418,424,436,438,599,601,609,623,629,638,650,654,664,676,681,690,701,710,713,724,732,741,753,760,765,773,784,790,800,809,817,827,832,847,851,857,867,877,884,899,907,914,917,930,935,945,953,960,975,984,993,995,1002,1014,1024,1034,1041,1048,1060,1062,1076,1082,1088,1097,1112,1118,1122,1131,1141,1155,1162,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,17,22,28,36,43,52,65,75,76,85,98,102,113,119,131,141,145,157,167,171,316,319,331,341,346,352,361,374,381,394,400,408,416,422,429,441,599,605,610,623,632,642,644,659,663,671,678,691,698,705,719,726,733,739,750,762,763,780,782,790,803,813,818,830,838,846,853,865,873,876,882,891,907,915,919,929,940,947,957,961,973,979,990,995,1010,1018,1020,1036,1042,1049,1054,1063,1074,1083,1094,1102,1110,1120,1126,1135,1142,1151,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,28,42,50,52,60,75,79,90,101,103,113,126,133,144,148,157,162,177,315,321,328,337,345,356,365,376,381,391,401,406,419,424,437,440,447,604,609,626,629,636,648,657,665,675,682,691,697,707,719,723,731,745,751,762,771,776,784,797,799,806,820,831,839,842,854,865,866,877,887,897,904,910,922,930,940,950,957,964,975,978,986,998,1006,1015,1021,1031,1042,1052,1058,1066,1074,1087,1092,1099,1108,1120,1123,1136,1143,1148,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,18,33,37,43,56,64,73,77,87,94,105,119,127,128,144,150,155,164,174,315,319,330,341,344,358,367,371,386,390,398,405,416,427,431,440,596,604,610,624,629,643,650,652,667,676,680,688,695,703,717,722,734,744,751,760,765,776,788,793,802,814,822,828,835,845,854,862,866,878,887,894,901,913,917,932,936,943,957,961,976,982,989,996,1009,1016,1026,1029,1039,1048,1056,1064,1073,1083,1093,1103,1105,1115,1127,1135,1141,1149,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,29,34,49,54,64,72,84,86,97,110,114,120,136,143,147,155,166,173,317,322,329,341,345,353,366,375,382,393,398,410,413,422,436,438,447,608,611,618,628,638,643,657,662,670,684,694,695,705,715,722,735,744,751,761,769,779,783,795,804,811,815,829,831,847,849,858,872,878,890,898,900,916,918,930,935,945,957,960,975,978,987,1000,1002,1012,1024,1031,1042,1053,1057,1069,1073,1083,1092,1100,1109,1114,1122,1137,1140,1154,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,26,40,49,56,62,69,83,92,99,102,114,127,131,137,149,159,163,174,314,322,333,340,345,353,365,374,379,388,395,406,418,427,435,440,463,605,616,618,634,643,651,656,662,669,685,694,699,708,719,727,732,740,754,762,764,778,788,795,800,808,818,830,833,845,856,861,868,882,885,893,902,912,921,925,942,948,954,962,968,978,988,998,1010,1013,1021,1029,1037,1049,1054,1069,1074,1087,1092,1101,1109,1119,1127,1135,1140,1150,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,30,39,50,58,65,76,79,87,94,109,116,120,136,142,147,154,170,173,190,320,334,339,347,356,365,370,380,393,401,409,418,428,430,438,458,604,613,621,629,640,644,659,665,673,679,689,702,708,719,723,734,741,753,755,766,773,781,797,801,809,817,827,838,847,854,859,865,875,882,897,907,914,925,931,938,944,954,965,975,984,988,994,1010,1013,1024,1029,1039,1046,1059,1069,1074,1081,1093,1099,1111,1115,1129,1135,1144,1151,1160,1169	1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
5,11,21,31,37,44,56,60,68,80,92,101,104,112,125,130,142,148,160,165,177,179,320,334,341,345,354,368,370,384,392,397,406,416,423,432,441,468,602,613,626,632,641,646,654,661,674,677,692,698,709,718,728,735,739,747,762,767,773,782,793,803,809,816,825,835,841,848,862,869,879,882,897,901,915,917,929,941,943,955,962,975,983,990,994,1010,1014,1027,1033,1043,1050,1061,1064,1078,1086,1092,1099,1113,1119,1129,1136,1142,1152,1157,1168,1176	1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,10,21,28,36,47,58,67,73,80,90,96,110,112,123,135,137,149,159,164,171,187,320,329,339,344,358,364,373,384,388,402,408,412,423,431,442,597,606,617,622,630,635,647,653,669,677,685,687,701,708,714,725,730,745,749,760,765,777,782,795,801,810,818,831,833,843,850,863,866,876,887,898,901,916,922,929,938,949,952,967,973,981,985,1001,1009,1015,1023,1029,1042,1050,1056,1062,1077,1081,1088,1097,1112,1121,1126,1133,1141,1154,1161,1170,1177	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,9,18,29,42,43,57,66,69,80,90,93,104,119,124,128,143,145,158,165,178,187,324,332,337,347,352,363,370,378,394,397,407,418,421,434,442,457,606,612,620,628,641,650,655,668,676,684,689,703,706,717,723,737,742,754,761,767,778,788,789,798,810,820,830,837,844,850,862,870,878,888,896,901,916,924,931,937,950,955,965,974,980,989,1002,1007,1018,1022,1031,1038,1047,1057,1070,1078,1079,1093,1098,1104,1119,1124,1130,1146,1149,1160,1165,1173	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
7,15,20,29,35,50,53,67,75,78,89,99,102,112,125,135,138,148,158,163,176,185,323,328,340,346,356,361,372,383,393,397,404,420,427,435,440,450,608,614,626,627,639,644,658,665,669,681,689,703,706,712,724,735,737,746,755,766,779,782,794,800,807,814,829,838,841,850,858,871,878,887,895,907,913,918,928,934,946,951,963,971,982,991,993,1004,1018,1022,1031,1041,1046,1056,1068,1072,1080,1090,1097,1113,1121,1124,1136,1143,1150,1164,1166	0,1,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,25,26,35,47,54,67,69,80,93,102,105,113,123,128,138,148,162,168,170,185,325,329,338,351,360,369,375,385,393,396,407,415,429,432,439,457,608,612,623,632,637,645,652,668,673,677,686,699,711,716,722,735,744,747,760,769,771,784,789,798,810,821,824,838,848,850,862,868,876,887,894,905,910,925,929,934,944,955,964,970,979,991,1000,1005,1018,1022,1032,1044,1051,1056,1064,1078,1079,1088,1103,1113,1117,1124,1132,1142,1154,1162,1171	0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,18,27,34,46,59,67,72,84,87,96,104,114,123,135,141,147,161,167,171,184,323,327,343,350,352,368,370,381,386,403,408,414,425,431,442,597,603,614,622,626,638,651,658,662,672,685,686,696,711,713,726,734,739,749,763,767,778,780,792,804,813,822,827,839,848,850,857,870,875,882,893,899,912,918,932,942,946,953,967,974,982,993,999,1005,1012,1022,1029,1037,1045,1059,1070,1072,1084,1093,1096,1106,1115,1125,1135,1142,1149,1158,1168,1177	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,22,28,40,42,51,61,74,83,88,97,110,113,124,131,138,152,156,166,172,183,323,331,337,345,354,368,371,378,392,396,407,420,429,432,438,466,603,610,622,630,638,646,654,661,675,686,690,699,709,714,725,731,743,750,760,766,778,786,790,805,808,816,828,839,842,849,863,867,874,882,894,903,916,917,930,938,948,953,966,975,982,991,1000,1005,1014,1021,1033,1043,1051,1054,1067,1075,1087,1095,1100,1107,1114,1127,1132,1141,1147,1158,1168,1174	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,15,22,28,38,42,56,62,72,81,90,95,104,113,122,130,144,150,159,162,171,316,323,330,340,346,359,364,373,378,389,402,405,417,426,437,444,600,606,613,619,632,637,649,653,666,675,683,694,700,710,716,722,735,743,752,762,770,775,785,794,803,808,822,826,834,846,855,858,872,880,888,897,905,912,925,929,941,947,953,964,968,982,989,994,1002,1018,1020,1029,1042,1045,1060,1064,1079,1087,1094,1097,1105,1117,1124,1135,1144,1150,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,25,32,38,49,55,61,74,77,93,98,103,111,126,133,142,150,155,167,172,180,322,328,343,352,354,361,374,383,391,395,407,416,426,430,439,453,605,613,618,634,638,643,660,666,670,679,687,697,709,717,722,731,739,750,755,766,772,788,796,800,813,817,829,834,848,849,858,871,882,891,897,908,909,917,928,939,946,953,963,973,977,989,997,1003,1016,1020,1029,1037,1049,1062,1067,1076,1083,1090,1096,1105,1120,1124,1131,1146,1152,1160,1165,1177	0,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,13,17,25,35,47,58,64,74,78,93,101,109,119,120,136,138,146,156,164,178,179,320,327,342,346,358,364,370,380,388,396,404,414,425,429,442,599,609,617,626,628,637,649,657,663,677,684,686,702,710,719,728,733,745,749,760,771,772,782,794,804,808,822,831,836,848,853,861,871,874,883,897,901,910,922,930,937,950,956,962,971,977,991,995,1010,1011,1025,1031,1044,1052,1060,1065,1073,1081,1094,1097,1113,1114,1123,1137,1142,1154,1157,1169	1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,12,17,27,41,44,56,67,74,82,90,94,107,112,127,129,137,146,158,167,176,181,321,328,338,346,354,367,370,385,389,397,406,420,422,436,441,460,608,611,625,633,641,645,654,668,672,679,687,699,708,716,728,730,740,746,758,769,780,786,795,797,810,820,825,838,844,855,862,869,876,885,896,901,915,920,930,934,942,956,963,970,984,992,1001,1002,1013,1022,1035,1044,1046,1056,1062,1071,1081,1091,1103,1112,1117,1128,1135,1146,1151,1161,1167,1176	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,22,29,36,45,59,60,71,79,92,99,109,118,127,129,141,147,156,163,172,186,318,331,341,346,358,368,371,379,387,401,404,420,426,433,444,598,605,609,623,633,638,649,654,665,673,681,694,698,706,715,727,736,740,751,762,768,776,782,796,799,812,821,826,833,845,855,862,868,881,885,893,905,915,922,928,939,944,959,966,971,984,988,995,1007,1017,1019,1028,1044,1049,1057,1068,1071,1079,1092,1096,1108,1115,1126,1135,1145,1155,1160,1167,1176	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,12,17,30,37,44,52,62,68,83,87,101,107,111,126,129,142,153,160,170,177,179,325,333,335,349,359,367,371,385,393,400,411,414,428,431,443,596,607,616,620,630,642,644,659,662,676,679,694,700,708,714,721,733,741,748,759,770,772,784,789,803,813,814,830,831,847,854,864,869,880,889,896,907,913,925,927,941,948,952,967,970,981,986,998,1008,1011,1022,1030,1040,1047,1059,1065,1075,1087,1089,1101,1112,1113,1126,1133,1143,1155,1156,1172,1178	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,24,31,41,43,52,64,73,82,88,101,108,116,123,136,141,151,157,166,172,179,321,330,337,346,355,361,376,384,390,399,410,412,427,434,440,467,606,614,619,633,636,647,653,662,669,682,692,694,705,716,724,730,740,747,760,765,779,786,793,805,813,819,826,836,840,852,865,870,878,891,899,901,916,924,931,937,947,956,966,975,982,990,998,1003,1011,1020,1036,1041,1048,1061,1063,1073,1080,1093,1096,1107,1119,1127,1137,1147,1152,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,10,21,32,40,45,59,60,69,79,92,96,105,111,120,128,138,151,155,170,174,317,320,329,340,345,352,369,371,386,390,401,406,416,424,435,442,468,602,613,623,627,639,644,654,666,670,678,691,699,707,712,723,732,740,753,761,763,779,782,790,804,809,817,824,836,848,849,861,870,881,886,896,904,911,921,933,938,946,953,965,969,981,987,998,1008,1012,1026,1033,1043,1051,1061,1068,1072,1082,1091,1099,1107,1115,1122,1136,1139,1150,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,23,28,37,43,58,63,68,85,93,100,106,117,125,129,141,145,161,167,172,315,322,332,336,348,357,365,374,382,390,402,408,420,425,434,442,596,607,615,620,626,638,645,654,664,675,678,693,694,708,718,728,735,738,749,755,763,772,784,794,800,808,821,825,837,848,856,858,866,878,886,896,907,911,923,932,940,949,951,967,968,984,985,996,1002,1011,1023,1034,1041,1050,1055,1069,1078,1079,1088,1098,1109,1120,1123,1135,1147,1155,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,33,39,47,53,61,73,81,91,94,110,118,125,131,140,148,160,166,170,314,323,330,343,347,358,366,371,381,392,397,405,414,421,435,446,458,607,610,620,626,635,648,654,661,670,681,687,701,706,717,726,735,742,748,756,763,771,783,790,805,811,814,826,836,848,854,864,868,874,883,894,900,913,921,932,942,950,954,961,969,983,988,998,1010,1012,1019,1034,1042,1045,1054,1063,1075,1086,1091,1101,1112,1117,1124,1130,1146,1154,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,33,37,50,58,65,76,78,88,95,103,113,122,134,142,148,160,162,172,316,324,331,335,347,354,362,377,385,393,401,404,420,422,436,438,600,606,614,618,632,636,650,659,661,671,680,693,698,705,718,722,735,745,750,761,769,773,784,796,801,807,816,824,835,841,855,857,871,880,888,895,902,911,924,933,934,946,955,962,972,985,991,995,1009,1011,1022,1035,1038,1046,1055,1068,1074,1087,1091,1103,1106,1114,1127,1131,1140,1147,1161,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,27,41,50,55,65,74,82,91,97,106,115,125,132,138,152,161,166,177,315,319,331,340,345,355,368,372,386,388,403,405,417,427,430,440,600,603,617,618,630,640,644,659,664,669,677,687,700,707,712,728,731,743,749,758,769,779,784,796,798,811,818,824,838,844,854,862,867,881,889,899,900,913,924,931,935,949,952,964,975,981,991,995,1007,1013,1020,1029,1041,1050,1059,1069,1076,1084,1087,1099,1110,1114,1129,1134,1144,1152,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,32,34,43,54,63,74,80,92,97,105,118,127,135,138,145,154,167,174,315,318,329,343,346,354,366,372,383,394,401,408,418,428,436,445,596,608,611,619,632,643,644,654,661,673,679,691,700,705,714,724,731,739,751,761,763,776,787,794,805,807,816,824,832,840,854,860,873,875,887,895,902,911,919,927,938,946,951,966,975,978,991,994,1004,1018,1024,1030,1041,1051,1056,1066,1078,1084,1090,1103,1107,1116,1128,1136,1144,1151,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,31,34,46,51,67,70,80,89,98,109,116,120,129,137,148,159,165,177,316,324,331,338,346,358,362,374,379,393,399,408,412,425,431,437,456,605,613,621,634,642,645,658,668,672,681,686,698,705,714,726,730,737,747,762,768,775,785,791,800,806,821,824,837,842,855,861,873,877,891,898,902,915,918,927,937,945,954,961,975,980,989,996,1006,1016,1023,1034,1037,1049,1059,1065,1078,1082,1094,1100,1108,1115,1125,1135,1141,1150,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,26,34,48,51,59,70,81,89,96,104,119,122,130,141,149,157,170,171,317,320,331,338,344,360,366,376,381,394,400,411,420,427,435,444,465,606,609,623,631,638,646,660,668,670,682,693,700,710,715,723,731,738,754,756,764,777,784,792,803,808,821,827,834,842,850,864,869,879,890,898,902,910,923,928,938,945,952,959,972,984,992,1000,1006,1018,1027,1028,1041,1050,1057,1068,1075,1080,1091,1098,1111,1121,1125,1134,1139,1147,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,31,34,46,56,60,70,83,90,101,110,113,122,130,144,150,156,165,176,182,320,330,339,349,352,364,373,382,392,402,406,414,429,430,441,597,601,616,623,632,639,648,655,667,677,684,688,702,705,712,728,734,742,752,758,769,772,781,790,799,806,817,824,834,845,851,857,867,880,885,899,904,911,916,932,939,950,958,960,969,980,991,997,1009,1016,1022,1027,1041,1051,1062,1068,1075,1080,1095,1102,1105,1118,1126,1136,1140,1152,1164,1169,1176	0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,9,18,26,36,44,53,63,74,77,89,101,108,111,127,135,140,151,155,162,175,313,323,333,336,350,360,366,377,380,394,402,406,413,421,435,440,597,605,615,622,629,635,646,655,668,672,680,694,701,708,718,722,736,744,752,761,767,775,783,792,797,807,814,829,833,842,852,861,871,878,888,894,903,915,923,933,937,943,953,965,970,979,988,996,1004,1011,1025,1033,1036,1046,1057,1065,1076,1082,1094,1104,1107,1121,1127,1138,1143,1154,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,18,31,39,44,57,64,70,82,92,97,107,115,123,134,142,153,154,162,173,317,325,331,337,352,357,361,372,384,392,398,409,412,422,434,439,466,602,609,622,631,642,648,658,663,674,679,688,694,709,713,724,737,741,751,758,766,773,788,789,802,814,815,828,832,843,854,861,872,881,887,895,908,916,918,932,934,943,951,964,969,978,991,994,1007,1011,1020,1034,1040,1051,1057,1070,1079,1085,1088,1102,1107,1118,1129,1137,1142,1148,1164,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,25,40,50,51,62,76,80,92,94,110,114,126,135,144,145,154,164,172,317,322,331,340,351,358,361,369,381,393,402,406,418,425,435,441,600,603,613,622,629,635,649,652,666,676,683,689,702,705,716,720,734,743,747,758,769,777,781,797,801,807,815,830,834,840,853,863,870,879,886,898,903,914,919,930,938,949,959,961,971,980,988,1000,1005,1017,1020,1030,1043,1046,1054,1065,1074,1085,1089,1101,1110,1118,1128,1138,1145,1150,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,31,37,46,52,60,74,80,87,101,108,118,127,130,144,149,158,166,176,317,319,331,338,347,356,365,375,385,391,401,409,412,426,437,440,599,608,615,622,627,642,647,654,666,673,682,690,696,711,713,724,731,745,748,758,763,777,783,792,804,810,817,829,831,848,851,858,867,879,883,891,903,913,924,933,938,944,951,966,972,984,985,996,1006,1016,1027,1033,1044,1052,1061,1064,1075,1087,1090,1097,1110,1115,1125,1130,1144,1153,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,28,40,43,54,67,73,77,88,100,103,116,120,129,137,150,160,167,178,180,325,328,339,352,354,364,375,384,391,402,409,414,427,433,443,448,602,613,623,634,639,652,653,666,671,678,689,698,704,712,722,736,745,750,761,768,774,786,792,799,809,820,829,831,845,849,860,866,880,888,893,906,916,920,928,937,948,956,968,969,976,986,999,1005,1017,1027,1030,1040,1048,1053,1063,1070,1083,1088,1097,1109,1115,1127,1138,1141,1153,1157,1170,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,11,17,31,36,44,52,63,71,81,88,100,106,117,124,131,145,152,154,166,175,316,319,331,343,348,359,367,369,385,389,398,409,418,423,430,444,599,609,612,623,629,640,645,657,664,676,685,687,700,704,716,725,734,739,754,759,766,778,785,797,802,811,821,827,833,841,851,861,869,875,882,898,902,909,919,932,939,945,952,964,970,982,987,997,1010,1013,1024,1030,1044,1049,1057,1062,1072,1081,1092,1100,1113,1118,1125,1137,1146,1151,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,32,38,44,51,66,72,83,87,100,108,112,124,136,143,148,160,165,173,315,323,331,342,344,353,369,375,386,393,400,409,417,427,431,440,462,608,610,624,633,638,645,652,661,676,681,688,701,705,713,722,734,742,748,761,770,776,786,795,803,812,819,825,836,842,850,860,872,882,887,892,903,914,920,927,940,950,951,962,968,982,989,1000,1009,1015,1024,1031,1042,1050,1057,1067,1077,1079,1091,1100,1111,1120,1127,1132,1142,1148,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,19,32,42,45,58,66,72,83,87,102,110,115,123,133,144,146,162,166,177,314,326,330,338,349,360,367,372,383,394,399,407,413,427,435,441,597,606,610,622,633,639,649,655,665,675,680,694,700,706,715,722,737,738,753,758,769,778,781,791,800,809,817,831,839,843,849,857,872,878,883,892,901,915,919,930,941,947,953,966,969,980,989,996,1009,1012,1022,1034,1043,1051,1058,1065,1078,1084,1092,1098,1106,1115,1122,1133,1142,1150,1159,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,21,29,38,48,54,62,70,79,88,101,106,111,123,128,137,150,161,165,175,313,320,328,338,349,354,365,372,384,393,399,408,414,424,432,441,597,604,614,619,634,639,650,658,669,671,681,686,696,709,716,722,732,745,746,761,769,779,783,789,798,813,816,828,837,843,855,861,872,878,886,899,903,915,923,932,938,943,953,966,975,977,991,996,1006,1013,1026,1031,1041,1048,1061,1068,1078,1081,1088,1097,1109,1117,1126,1136,1140,1147,1162,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,27,35,48,57,64,72,79,90,100,110,118,123,135,139,150,156,170,177,313,323,329,341,345,358,365,375,385,393,396,409,415,421,436,442,600,603,610,623,634,637,644,658,667,673,683,688,698,705,719,723,729,743,751,762,769,779,780,795,797,811,817,825,837,844,849,861,873,880,885,896,905,911,923,930,936,948,953,965,968,981,990,996,1009,1011,1022,1031,1038,1050,1055,1064,1075,1086,1094,1096,1111,1116,1126,1132,1145,1149,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,30,40,51,55,61,74,83,88,101,109,111,126,129,138,150,154,165,178,317,319,332,337,348,357,368,378,385,393,399,407,418,424,430,444,598,603,611,618,631,636,650,658,664,673,678,691,695,708,715,721,734,744,751,757,767,777,784,788,799,813,821,828,837,840,854,857,872,882,885,892,901,912,924,930,936,943,953,963,970,980,991,995,1005,1011,1020,1031,1044,1045,1060,1063,1073,1086,1092,1098,1105,1114,1128,1136,1144,1150,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,32,36,44,53,63,73,77,86,98,103,118,125,131,141,151,157,168,176,314,323,334,342,351,357,362,377,379,394,403,410,416,422,432,438,598,603,610,623,633,642,650,656,665,669,682,693,695,711,717,726,735,745,752,760,768,774,781,790,805,812,818,825,832,847,850,857,874,875,891,898,904,910,917,932,939,944,957,965,970,980,987,1002,1010,1017,1026,1030,1042,1052,1054,1069,1075,1087,1088,1098,1111,1116,1127,1137,1145,1154,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,27,37,50,54,63,76,78,91,97,110,118,125,134,139,152,154,170,173,317,321,330,340,351,358,361,372,384,394,402,411,412,421,435,437,596,602,611,618,630,641,646,652,667,671,680,687,697,705,717,725,736,739,750,755,765,774,780,793,799,812,814,825,831,845,852,863,870,881,890,893,905,915,917,929,940,944,957,960,975,979,992,993,1005,1011,1020,1035,1041,1051,1053,1064,1074,1086,1095,1100,1109,1118,1126,1131,1139,1152,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,30,35,49,52,61,69,84,87,98,107,117,125,133,139,149,154,167,172,314,326,327,340,344,353,365,374,378,389,398,405,413,425,434,444,457,604,610,623,633,642,648,659,665,669,684,689,696,709,715,722,735,743,746,758,770,776,783,795,803,807,817,831,832,844,851,858,868,880,883,894,901,913,920,932,937,947,954,964,976,979,988,997,1003,1018,1024,1028,1036,1045,1055,1066,1072,1083,1096,1102,1105,1120,1128,1134,1144,1150,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,33,42,46,54,59,70,81,86,102,107,119,120,128,137,146,154,167,173,314,326,327,335,351,360,367,371,384,386,400,406,416,421,436,443,599,606,614,622,628,638,651,659,661,669,681,690,699,709,712,721,731,738,749,760,764,778,781,792,800,813,816,827,839,841,850,863,873,882,887,897,901,915,919,932,939,950,957,968,976,980,988,1001,1005,1016,1026,1035,1037,1050,1058,1069,1072,1085,1090,1097,1112,1118,1127,1131,1141,1149,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,31,36,46,58,65,70,78,91,101,107,115,122,133,143,151,158,167,175,314,322,329,336,349,360,361,370,379,387,395,411,414,422,430,443,597,609,617,620,628,642,649,656,668,675,678,688,699,704,712,726,737,739,748,762,769,773,787,796,799,806,821,829,838,842,851,859,872,875,885,894,902,916,922,927,936,949,953,959,968,981,992,994,1007,1016,1024,1031,1039,1049,1060,1065,1076,1082,1096,1103,1107,1117,1122,1131,1146,1148,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,29,34,48,57,67,72,81,92,98,106,115,125,136,141,146,161,169,176,317,322,327,338,352,355,365,371,382,390,397,411,412,425,429,444,600,609,613,626,627,636,644,657,664,674,682,687,700,707,714,723,730,744,751,754,765,775,786,796,803,806,821,828,839,844,856,860,870,878,887,899,904,915,917,925,941,946,959,964,971,984,985,1001,1004,1016,1020,1030,1041,1049,1059,1062,1079,1085,1092,1102,1108,1114,1128,1130,1145,1148,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,27,42,43,56,60,68,83,87,100,107,116,124,131,141,150,157,165,175,191,321,330,337,348,354,365,374,381,392,397,408,413,428,431,441,455,608,610,626,627,638,644,658,665,674,677,694,698,706,715,724,733,744,749,760,768,776,787,793,799,809,820,828,832,845,850,863,873,874,890,895,901,912,925,929,939,947,955,966,970,983,989,999,1008,1011,1020,1036,1040,1049,1055,1067,1074,1083,1091,1099,1110,1115,1127,1138,1140,1147,1157,1167	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,21,27,41,49,54,63,73,85,89,98,110,114,126,129,138,151,160,164,172,198,322,333,339,348,355,368,375,384,390,400,407,413,424,430,443,451,609,610,623,626,635,651,656,665,670,685,690,695,704,713,723,734,745,748,756,767,774,786,795,803,814,818,828,833,840,848,862,871,881,888,899,903,910,922,932,941,947,958,965,974,977,987,993,1002,1016,1022,1035,1040,1050,1060,1062,1071,1081,1092,1099,1110,1114,1126,1131,1141,1151,1158,1168,1176	1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
3,8,24,30,39,49,55,68,70,85,88,98,102,118,121,131,144,150,157,163,175,184,321,332,336,349,360,365,374,384,392,397,412,419,426,435,443,462,608,616,624,632,643,646,652,667,669,683,687,700,710,720,728,736,742,747,756,765,779,780,796,798,809,817,830,839,841,852,859,869,876,885,895,902,916,917,928,938,945,956,961,974,984,985,999,1006,1017,1019,1032,1036,1045,1057,1064,1075,1083,1095,1102,1112,1117,1130,1135,1141,1151,1158,1171,1176	1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,19,27,34,49,54,66,72,78,92,95,109,114,121,134,145,150,156,169,171,183,318,332,336,350,354,362,372,379,393,401,412,415,422,434,443,596,601,612,625,629,637,651,654,663,672,681,694,698,705,719,724,736,742,753,759,770,771,781,789,802,813,817,823,839,845,850,862,873,882,884,895,905,913,919,932,937,946,953,960,974,983,985,997,1006,1012,1019,1035,1044,1047,1056,1062,1079,1085,1094,1104,1106,1121,1126,1131,1146,1150,1157,1167	1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0
3,14,22,29,38,45,55,62,74,83,85,97,110,115,121,133,142,146,158,165,175,182,319,327,335,344,355,363,377,385,392,398,411,418,421,435,439,597,603,610,626,630,641,651,652,663,673,684,690,702,705,712,726,731,742,750,757,769,776,785,796,798,808,815,830,831,841,849,864,869,874,890,897,905,916,919,933,940,946,953,959,969,977,991,999,1006,1016,1020,1028,1036,1050,1054,1067,1077,1081,1090,1101,1110,1115,1124,1132,1140,1149,1161,1173,1175	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,18,28,41,48,57,64,68,80,87,95,109,116,121,133,138,145,158,168,170,182,322,334,338,351,356,361,377,382,389,401,404,419,426,435,440,600,602,610,619,629,638,644,654,661,677,680,686,699,704,713,724,730,740,750,758,764,772,785,791,799,809,818,828,836,844,856,862,867,876,886,897,907,915,917,929,936,945,956,967,976,984,993,1000,1006,1017,1023,1030,1038,1046,1059,1069,1076,1087,1093,1098,1106,1118,1128,1136,1140,1150,1163,1167,1177	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,15,20,25,37,45,57,61,71,77,91,99,109,116,120,133,142,145,157,162,175,182,326,329,339,347,353,363,370,380,388,398,407,419,428,430,444,600,609,615,621,629,637,648,654,664,676,684,690,698,706,717,726,733,741,751,758,767,775,788,794,804,813,814,825,839,847,855,859,867,881,888,896,908,914,921,925,935,947,952,966,975,979,987,998,1009,1011,1025,1028,1043,1052,1060,1067,1072,1080,1088,1100,1105,1113,1126,1136,1139,1155,1158,1165,1175	1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,9,19,31,35,44,53,66,71,78,89,98,108,115,125,132,141,148,155,168,176,179,322,328,340,348,360,363,375,382,387,396,407,413,425,433,441,596,601,615,619,626,639,646,657,668,669,679,687,699,705,712,725,730,743,753,758,768,771,786,794,805,810,816,827,835,842,854,858,869,874,887,893,902,915,921,930,941,948,954,967,973,977,988,996,1003,1015,1023,1036,1044,1048,1057,1068,1076,1082,1093,1098,1108,1119,1130,1135,1141,1151,1160,1168,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,14,24,26,37,49,55,64,75,84,91,96,110,115,120,129,144,151,156,167,179,316,324,329,340,351,357,367,377,381,389,397,405,417,421,435,444,596,605,614,619,627,635,646,655,661,670,679,686,697,708,714,724,732,745,748,762,770,774,785,792,798,813,819,830,838,846,853,863,865,881,887,897,908,912,925,931,939,947,958,965,976,977,992,995,1010,1016,1026,1033,1043,1048,1053,1065,1075,1087,1090,1104,1110,1114,1122,1135,1144,1154,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,28,42,43,57,67,72,81,92,97,103,116,125,134,140,150,154,169,179,180,321,333,335,349,360,367,375,382,391,396,410,417,426,431,444,466,603,609,618,630,641,644,654,667,677,684,693,701,709,715,725,729,741,746,759,769,777,780,791,797,811,815,830,833,847,853,862,870,879,890,896,903,914,924,926,938,947,954,963,973,977,987,994,1003,1015,1027,1032,1040,1048,1054,1062,1074,1083,1095,1099,1108,1121,1126,1132,1141,1152,1156,1165,1173	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,20,25,42,45,56,66,70,84,87,101,104,118,123,130,136,147,154,169,178,197,322,332,337,349,360,365,370,378,388,402,406,413,423,431,441,465,601,612,620,628,637,646,659,665,671,684,692,700,709,715,724,730,742,752,762,770,773,785,789,804,805,816,826,834,845,856,858,868,880,888,897,902,915,921,927,934,944,953,963,971,983,986,998,1003,1013,1024,1029,1040,1053,1056,1066,1073,1080,1095,1098,1105,1118,1129,1132,1143,1156,1163,1164,1174	1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
7,14,22,27,40,43,51,63,69,83,89,101,107,119,127,134,139,153,159,166,175,185,324,329,337,343,352,361,371,379,391,399,410,416,424,431,442,597,606,612,618,629,640,648,652,661,672,680,690,702,708,717,725,729,742,746,755,769,776,786,790,800,811,821,827,838,845,849,858,868,875,883,896,903,914,921,928,939,946,956,963,974,978,992,997,1007,1014,1021,1032,1043,1052,1053,1067,1073,1084,1093,1102,1111,1115,1127,1130,1144,1153,1162,1169	1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,18,31,40,48,55,62,75,81,92,99,104,118,127,135,144,151,158,170,173,186,324,329,337,346,352,362,372,386,393,396,405,413,423,431,438,600,606,615,623,631,637,649,655,665,673,685,686,702,705,717,722,731,745,752,754,771,776,786,796,802,809,816,825,838,847,849,860,866,878,888,893,904,909,919,930,942,949,956,963,968,980,989,998,1004,1019,1025,1032,1037,1053,1059,1063,1071,1081,1088,1099,1104,1117,1127,1131,1140,1155,1157,1170	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
3,13,21,32,41,44,58,63,70,82,87,97,104,112,122,131,137,148,159,166,176,188,322,330,338,350,357,365,375,382,389,399,411,415,421,430,441,597,608,610,625,633,641,647,659,669,676,682,688,698,704,714,727,732,743,754,758,764,778,787,794,805,806,815,826,834,841,849,858,870,874,885,895,905,916,920,932,942,943,954,964,969,982,987,997,1004,1014,1024,1031,1040,1052,1058,1062,1071,1087,1091,1100,1105,1115,1125,1135,1146,1151,1159,1170	1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,11,17,29,39,47,54,66,69,79,88,98,106,111,122,130,138,153,158,164,171,184,326,328,342,344,352,366,376,381,392,396,407,419,426,430,442,596,603,611,623,630,636,651,658,668,674,679,692,700,704,716,728,736,744,749,762,764,773,782,788,805,808,816,828,831,840,849,864,867,876,888,893,905,913,921,930,936,944,955,964,973,980,989,996,1010,1013,1021,1031,1038,1048,1053,1068,1072,1080,1093,1100,1108,1121,1124,1135,1143,1149,1157,1168,1173	1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
7,8,18,31,42,49,57,61,75,78,85,100,108,117,123,132,141,150,160,168,177,314,324,329,337,351,356,364,373,384,392,398,404,416,424,430,444,599,607,613,620,627,642,644,656,664,670,684,690,699,709,713,723,732,741,751,760,764,778,786,796,799,808,816,827,839,847,849,861,867,877,886,898,905,914,918,933,939,947,957,961,968,980,987,995,1003,1016,1023,1029,1040,1049,1055,1062,1073,1084,1095,1098,1110,1114,1122,1134,1139,1147,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,30,35,48,51,61,75,77,87,97,110,117,123,133,141,150,158,163,173,317,326,334,343,347,359,361,370,383,387,397,404,420,426,435,446,596,604,610,624,632,642,648,658,667,670,679,692,700,705,715,728,734,744,752,760,765,777,782,791,803,812,816,825,834,845,851,861,867,878,888,893,903,908,924,926,934,946,955,965,971,982,989,995,1002,1016,1021,1034,1041,1052,1056,1068,1076,1080,1093,1097,1113,1120,1126,1132,1140,1154,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,27,35,50,57,61,76,84,91,98,108,114,120,133,141,152,159,167,178,314,319,330,342,347,355,368,373,380,392,400,409,418,426,432,443,599,601,617,619,634,635,644,656,661,673,685,690,699,710,714,723,733,741,752,762,766,778,781,791,801,812,814,828,839,840,856,858,868,878,890,892,901,913,922,933,941,947,955,966,972,977,991,997,1003,1018,1022,1032,1041,1047,1057,1063,1076,1080,1095,1103,1112,1115,1124,1131,1139,1149,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,27,36,47,51,65,72,78,87,94,106,117,127,135,138,149,154,164,171,314,323,332,336,345,353,368,377,379,389,403,407,419,426,430,443,458,605,616,618,629,635,644,655,668,672,680,687,703,705,717,727,735,742,749,762,771,777,785,795,801,811,816,829,839,842,857,865,868,874,882,891,902,913,921,925,941,942,953,966,973,982,988,1001,1009,1014,1027,1028,1044,1052,1059,1066,1073,1087,1088,1100,1104,1117,1122,1137,1142,1148,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,25,27,38,48,58,65,72,79,88,99,102,113,120,130,138,145,155,168,171,313,322,329,343,349,355,362,371,385,392,395,407,419,426,435,446,597,602,611,624,627,641,650,653,666,677,681,694,701,704,714,728,734,742,747,760,766,779,787,792,801,812,815,826,835,847,852,859,872,881,886,898,902,911,920,930,941,944,955,961,975,985,992,1001,1008,1013,1025,1031,1037,1045,1060,1062,1077,1084,1095,1102,1107,1113,1129,1133,1140,1149,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,17,28,41,48,58,62,68,79,86,94,109,114,121,128,142,153,161,163,171,316,323,331,342,352,357,368,375,379,393,402,407,416,427,436,442,597,603,609,619,629,641,648,657,663,677,680,690,698,709,717,725,729,737,749,760,766,775,780,797,799,810,814,825,838,841,853,861,872,881,890,891,905,913,918,933,937,946,951,966,968,976,990,999,1008,1011,1021,1035,1038,1046,1055,1065,1078,1079,1091,1096,1107,1115,1128,1134,1144,1147,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,27,37,49,57,62,72,84,86,101,108,112,125,135,141,153,154,170,171,314,319,329,336,345,355,367,375,380,393,397,410,419,429,431,445,453,609,615,623,630,636,644,657,668,675,681,694,696,707,716,721,736,743,748,758,766,773,786,793,803,810,822,826,839,845,855,859,871,877,888,897,901,916,921,930,941,950,958,966,969,977,991,997,1006,1018,1024,1029,1037,1047,1057,1065,1075,1081,1092,1103,1109,1116,1126,1133,1143,1148,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,29,41,43,57,65,71,78,86,95,110,117,123,130,138,146,157,166,174,315,325,328,337,346,357,365,371,383,388,399,410,416,425,436,445,600,607,616,618,632,639,649,652,663,671,684,688,700,703,713,724,736,737,746,759,766,771,788,790,797,812,820,826,834,845,850,865,873,875,889,895,904,913,917,928,936,945,953,963,970,983,986,1001,1006,1012,1020,1032,1043,1049,1060,1066,1074,1079,1088,1099,1106,1119,1128,1132,1145,1151,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,17,29,36,46,51,65,74,79,86,101,110,114,121,131,139,148,161,162,171,192,323,332,340,346,355,362,372,379,390,403,410,418,427,434,442,600,608,614,626,629,641,648,657,663,669,685,692,697,704,714,723,734,739,749,757,767,776,785,789,798,811,820,828,837,848,851,861,867,875,886,893,903,908,917,930,936,943,955,967,970,977,991,1001,1004,1013,1021,1029,1037,1049,1054,1070,1077,1087,1090,1101,1112,1121,1125,1138,1145,1149,1163,1165	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
2,9,23,29,35,45,54,61,71,83,88,99,109,115,125,129,144,145,159,168,177,315,320,332,341,351,357,363,375,383,395,398,405,412,421,432,445,596,608,616,622,628,637,647,652,663,669,681,693,702,708,718,727,732,745,749,757,764,774,787,795,804,810,820,824,833,842,852,859,868,882,883,892,901,915,921,926,940,946,952,964,968,977,989,998,1010,1018,1026,1029,1036,1052,1059,1070,1071,1080,1095,1104,1106,1115,1123,1131,1142,1154,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,33,39,49,56,62,75,80,89,101,103,113,121,130,144,152,160,164,178,313,326,334,341,352,358,368,377,385,389,398,410,420,423,433,438,596,601,610,618,628,636,643,658,668,673,677,691,702,710,713,723,736,742,751,762,769,779,787,793,799,809,817,824,831,846,857,863,865,879,886,898,902,910,922,928,938,942,957,961,972,979,990,993,1005,1011,1027,1031,1037,1049,1057,1067,1077,1080,1089,1102,1107,1115,1124,1133,1143,1150,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,24,32,36,45,57,65,76,79,85,101,109,115,128,133,141,147,153,166,179,315,324,328,341,345,355,365,370,385,389,402,405,415,421,436,441,597,605,617,625,633,641,651,660,665,674,683,690,701,707,716,728,736,741,753,756,770,774,782,790,805,812,822,823,832,848,853,860,866,881,889,898,900,914,917,929,940,950,951,961,969,977,990,998,1008,1018,1024,1029,1037,1045,1055,1070,1071,1086,1094,1103,1106,1120,1122,1137,1141,1148,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,24,29,36,51,58,63,73,78,93,97,105,116,124,129,140,153,157,166,176,317,324,329,339,351,357,368,373,384,388,401,410,414,421,433,441,452,609,617,626,627,638,647,660,666,670,683,690,697,705,716,727,729,743,752,756,768,777,784,789,800,812,821,825,835,841,850,860,872,877,883,899,901,909,918,931,935,944,952,961,975,980,992,995,1006,1010,1026,1031,1040,1045,1059,1063,1071,1079,1091,1101,1107,1113,1125,1132,1144,1154,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,20,30,34,44,56,61,69,77,89,99,105,116,121,130,141,152,157,164,178,185,324,331,340,348,356,363,375,380,394,399,410,413,425,434,440,462,603,614,620,628,635,646,659,662,675,682,693,695,708,713,725,731,738,749,762,764,778,783,795,798,809,814,828,833,847,856,861,868,877,886,892,906,912,917,927,937,949,951,961,974,977,988,1000,1002,1016,1021,1030,1043,1046,1055,1070,1071,1082,1095,1104,1112,1118,1128,1138,1140,1153,1160,1171	0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,24,34,35,45,51,65,68,84,92,96,108,113,126,130,139,148,156,165,175,313,323,332,340,348,360,368,378,383,390,396,407,416,420,430,445,468,602,610,619,628,642,651,652,669,673,678,690,701,706,713,722,735,745,746,756,766,776,783,796,801,813,814,823,839,841,849,861,872,882,889,897,903,911,923,929,942,947,957,967,974,978,992,999,1008,1015,1027,1030,1037,1048,1056,1067,1071,1081,1092,1102,1111,1120,1125,1131,1144,1147,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,25,31,40,48,57,60,75,80,90,99,105,118,124,131,138,149,159,170,172,313,320,328,341,345,359,368,376,379,392,399,408,413,423,435,441,596,602,615,626,634,639,644,658,667,672,684,691,696,706,719,722,735,745,747,759,765,776,780,795,805,808,817,830,836,843,853,864,868,879,886,899,902,909,917,932,941,943,952,962,969,984,989,998,1002,1015,1025,1030,1041,1049,1060,1066,1075,1081,1093,1102,1112,1113,1126,1136,1146,1149,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,26,37,48,53,63,69,80,86,100,109,116,124,130,138,150,159,163,176,315,318,327,340,346,352,368,370,381,394,397,409,420,427,429,441,468,606,615,624,633,642,644,657,663,673,680,689,695,704,712,727,730,745,752,755,763,779,787,791,804,812,818,829,836,845,850,861,870,881,888,895,906,909,924,927,934,944,956,966,974,984,989,996,1006,1016,1020,1031,1041,1048,1056,1068,1071,1083,1089,1097,1105,1115,1121,1135,1142,1148,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,22,32,41,49,52,68,73,77,91,97,105,117,127,134,138,151,157,168,176,315,321,333,339,350,356,367,376,379,395,401,408,418,428,434,438,463,608,614,624,633,635,652,657,669,673,678,692,695,708,713,724,731,742,749,760,763,774,785,795,803,809,819,822,839,848,850,865,869,878,890,891,901,914,921,931,940,943,956,963,972,978,985,995,1005,1011,1023,1032,1042,1048,1055,1070,1077,1079,1092,1103,1107,1121,1124,1131,1142,1152,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,33,37,45,53,66,74,82,90,99,106,117,122,135,144,149,155,165,179,315,323,330,338,346,356,367,373,382,390,402,409,415,421,430,443,450,603,614,618,630,635,649,653,660,675,680,688,703,709,716,724,737,741,749,757,768,776,783,795,800,811,820,826,839,845,853,859,867,880,883,894,903,913,919,931,938,945,952,966,975,982,987,998,1002,1018,1022,1028,1043,1048,1061,1066,1071,1080,1090,1099,1111,1120,1128,1135,1139,1149,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,25,33,39,43,51,63,75,80,86,100,105,112,127,134,142,148,158,166,176,314,325,332,342,350,360,361,375,385,389,398,405,415,428,433,443,463,605,613,620,629,635,649,654,661,675,681,691,699,706,714,726,736,740,753,755,768,775,788,789,805,808,822,824,833,841,850,859,873,876,889,894,907,916,923,932,941,945,951,968,974,984,990,999,1004,1015,1021,1035,1039,1051,1057,1064,1079,1084,1092,1103,1108,1120,1125,1134,1145,1152,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,23,30,40,42,58,60,75,80,89,94,107,111,127,136,137,151,153,162,178,315,325,332,338,348,360,368,376,383,392,396,405,420,425,435,443,455,606,611,625,628,640,649,659,660,675,684,694,699,711,719,722,732,742,752,758,770,775,781,792,801,810,822,829,833,846,852,863,872,878,885,893,902,913,919,926,934,949,954,965,971,981,991,1001,1008,1012,1023,1029,1039,1048,1058,1067,1077,1081,1093,1096,1105,1121,1127,1133,1140,1147,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,29,42,44,55,62,72,81,86,101,108,119,126,129,142,146,156,169,174,316,324,332,338,350,360,367,373,380,392,400,412,415,427,431,445,457,606,611,618,634,638,648,657,664,675,683,690,696,709,718,726,735,738,749,756,765,774,781,792,799,811,822,825,839,846,848,859,872,878,888,899,903,908,918,928,940,945,957,966,970,979,993,1000,1006,1017,1025,1035,1038,1051,1061,1064,1071,1086,1093,1102,1109,1119,1128,1130,1146,1153,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,26,35,49,55,66,73,76,86,94,104,115,120,135,142,145,156,163,179,315,323,328,341,347,355,364,371,382,395,399,411,415,424,431,438,597,606,612,618,631,637,646,657,666,673,678,694,702,708,717,723,733,744,753,762,764,774,782,792,803,813,819,824,833,840,850,865,867,874,886,891,901,914,918,933,941,946,955,962,973,981,993,1000,1003,1016,1025,1034,1044,1047,1057,1064,1075,1084,1091,1099,1109,1116,1122,1133,1143,1149,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,30,34,43,54,61,69,84,90,102,108,115,121,136,141,153,154,166,172,315,320,331,339,351,356,368,370,384,388,399,408,414,428,434,441,454,602,610,625,631,639,643,658,662,675,677,692,696,706,720,721,737,740,752,762,770,772,781,793,801,811,820,822,836,844,852,859,871,881,883,891,905,909,917,929,938,944,959,966,971,982,988,997,1003,1014,1026,1032,1041,1052,1054,1066,1074,1087,1088,1102,1110,1121,1125,1137,1145,1149,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,31,38,50,55,67,69,79,88,101,110,114,126,134,141,152,157,167,176,315,325,330,340,350,360,366,376,382,393,401,410,416,428,433,441,598,606,612,624,634,635,645,657,662,672,679,687,702,705,716,728,737,739,752,761,764,780,782,793,805,812,817,824,833,845,856,864,870,876,888,891,905,914,918,928,936,950,951,961,974,981,989,997,1004,1016,1025,1029,1039,1046,1058,1066,1073,1084,1091,1101,1110,1117,1122,1134,1146,1150,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,26,38,42,58,64,74,78,88,94,104,115,126,129,145,149,162,165,171,316,318,334,343,345,360,369,377,379,388,398,411,414,428,433,444,452,605,616,622,630,640,644,655,661,675,679,688,700,707,712,727,729,741,748,755,765,777,782,791,799,807,820,830,837,841,857,860,869,881,885,894,907,916,923,931,936,945,955,962,968,984,986,999,1005,1014,1021,1033,1041,1049,1058,1063,1076,1082,1092,1104,1107,1117,1125,1138,1140,1150,1158,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,30,36,47,55,64,71,81,87,96,108,112,119,128,145,146,154,166,177,197,319,328,343,349,357,362,376,386,389,400,408,415,420,429,440,597,606,615,619,627,640,645,655,660,670,684,690,696,704,714,723,736,737,750,755,767,777,784,789,804,809,820,824,832,845,855,862,867,874,888,892,900,909,918,925,935,943,952,967,970,979,986,997,1003,1016,1020,1031,1039,1045,1055,1068,1078,1084,1092,1102,1110,1117,1123,1135,1147,1154,1163,1172,1175	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,13,19,28,38,47,56,60,72,82,87,102,107,116,120,133,136,152,158,166,173,184,322,331,338,351,354,366,373,382,388,400,406,413,425,432,440,599,601,612,622,628,635,645,652,665,673,686,687,697,704,713,723,736,744,750,758,767,779,788,792,802,813,815,826,836,847,855,862,870,877,884,895,902,910,918,931,939,947,953,967,972,977,989,1001,1006,1013,1027,1032,1036,1049,1061,1063,1075,1086,1087,1100,1111,1118,1129,1136,1141,1149,1156,1166,1177	0,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,20,32,35,45,59,63,69,84,91,95,110,118,122,135,138,152,160,169,173,187,318,331,338,350,358,368,370,384,389,403,406,416,423,433,442,471,609,610,622,628,639,646,655,664,670,685,686,696,707,712,727,729,745,750,758,765,773,785,792,803,812,818,830,835,846,852,864,871,875,885,894,905,913,922,929,936,942,955,963,969,980,992,1001,1008,1018,1024,1034,1036,1046,1061,1066,1073,1084,1095,1098,1111,1114,1125,1134,1143,1150,1161,1164	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
4,16,25,32,41,44,55,64,76,78,85,97,102,111,124,129,143,145,158,167,178,182,321,330,336,345,353,361,371,380,393,395,410,414,423,436,443,597,608,611,618,628,641,650,655,661,671,681,689,700,708,714,721,737,739,754,761,770,773,786,790,798,807,819,828,839,840,856,859,868,874,887,893,906,911,917,932,935,947,957,965,970,978,987,999,1007,1019,1022,1032,1039,1051,1058,1065,1073,1085,1093,1103,1111,1116,1124,1134,1144,1148,1158,1166,1174	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
8,15,22,28,38,50,52,63,76,82,88,95,105,117,124,135,144,148,158,163,173,180,325,332,338,349,358,365,373,383,388,397,411,416,422,430,440,460,606,611,625,629,637,643,655,667,677,679,693,695,706,717,721,736,742,753,756,765,775,781,793,799,812,818,830,836,847,852,860,871,880,887,898,903,913,923,930,938,947,953,963,969,983,990,995,1003,1011,1021,1033,1043,1053,1060,1066,1078,1079,1091,1096,1110,1120,1123,1135,1140,1153,1156,1171,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,16,20,31,40,48,56,61,72,82,91,96,106,114,120,128,138,152,156,167,179,198,321,334,340,349,359,363,375,381,393,395,404,419,426,431,442,598,603,610,622,627,641,644,656,664,676,677,689,700,707,719,724,733,740,750,759,771,777,786,792,804,807,816,826,833,843,855,862,873,880,886,898,906,915,918,930,940,943,952,967,970,984,989,1001,1008,1013,1023,1031,1039,1051,1053,1067,1075,1086,1094,1102,1111,1120,1122,1131,1141,1151,1158,1164,1175	1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
2,11,18,33,37,49,58,60,70,77,91,100,109,118,124,135,139,147,158,168,174,186,326,330,337,344,357,368,374,382,389,398,406,420,424,433,440,468,606,616,618,635,636,644,654,669,672,679,693,702,705,717,723,736,745,752,756,765,779,783,789,804,810,819,831,838,841,849,858,872,881,886,896,905,910,923,926,941,944,953,962,971,983,985,999,1004,1015,1023,1030,1038,1049,1061,1063,1073,1085,1089,1100,1109,1120,1122,1133,1144,1154,1161,1171,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,12,20,28,38,46,55,66,73,80,92,94,108,116,126,132,144,153,154,166,172,180,319,334,343,344,360,367,372,380,388,398,411,420,423,432,443,598,605,617,623,631,643,649,652,661,669,678,689,701,709,714,720,734,744,752,761,769,779,780,789,800,806,814,825,831,846,854,865,873,881,886,898,900,914,919,926,935,946,956,963,972,983,988,993,1004,1013,1024,1034,1044,1051,1056,1065,1071,1079,1088,1099,1109,1120,1123,1131,1140,1151,1157,1164	1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,17,28,37,42,58,67,71,78,85,95,103,114,122,129,140,150,161,168,176,316,320,331,341,348,358,364,373,378,390,399,407,416,421,432,439,465,602,616,625,632,636,652,653,665,670,683,689,695,708,719,725,731,740,752,760,764,779,788,792,804,810,816,827,834,841,855,859,866,881,889,899,903,913,920,929,937,948,958,964,968,980,992,997,1003,1015,1020,1035,1038,1048,1053,1063,1074,1079,1091,1103,1110,1115,1122,1136,1140,1147,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,26,35,46,51,61,72,80,85,99,102,118,125,128,138,150,160,167,172,188,319,328,340,347,354,369,374,378,391,399,409,416,423,434,439,596,605,610,618,628,642,646,652,665,676,680,689,701,707,714,723,732,739,749,762,769,773,782,792,803,813,819,826,839,846,854,861,868,876,885,894,904,910,918,926,940,950,954,962,976,980,992,994,1008,1016,1021,1032,1037,1051,1060,1068,1073,1082,1093,1099,1110,1119,1129,1137,1140,1152,1162,1165,1175	0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,12,25,27,38,44,55,65,70,80,93,97,107,113,124,129,138,153,159,165,172,188,322,328,338,348,359,364,370,382,390,395,406,416,426,435,445,452,607,616,624,632,642,650,657,661,677,682,691,700,711,713,725,731,743,749,758,768,776,785,794,802,806,820,823,840,848,855,865,873,881,886,897,899,911,920,926,936,948,959,965,976,977,986,994,1007,1019,1022,1031,1043,1046,1054,1065,1077,1080,1092,1096,1110,1114,1129,1136,1140,1148,1158,1170,1178	1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,15,18,33,39,45,53,65,72,83,88,98,103,118,124,131,137,145,156,164,176,179,325,333,337,345,359,364,372,386,392,397,410,413,424,435,443,597,602,617,623,634,641,643,657,663,669,678,689,697,709,719,724,737,746,747,758,765,774,785,793,804,813,814,831,839,841,849,865,866,879,886,898,903,915,922,932,940,948,952,968,974,982,991,1002,1008,1011,1023,1029,1042,1053,1055,1064,1071,1079,1090,1102,1105,1118,1129,1137,1140,1150,1162,1171,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,21,28,37,47,52,65,72,82,90,96,104,117,121,132,139,152,157,170,176,183,326,331,335,346,359,364,370,386,392,401,412,413,424,437,443,597,609,610,624,628,637,648,658,661,672,682,687,701,707,717,720,736,743,753,760,764,779,787,794,798,807,817,825,836,848,855,864,867,878,887,899,902,909,923,930,936,945,959,965,971,983,987,998,1006,1011,1026,1033,1044,1048,1058,1062,1078,1083,1092,1096,1106,1117,1127,1131,1139,1152,1156,1165,1177	1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,18,28,35,46,59,62,72,82,93,101,108,119,126,134,139,153,158,168,174,186,320,330,339,346,357,365,374,379,393,401,406,420,428,436,439,596,608,610,625,632,638,650,655,668,669,679,691,703,704,714,722,734,745,753,762,766,774,782,790,798,813,817,823,835,848,855,864,873,877,883,899,907,910,921,929,936,949,955,962,972,977,989,997,1006,1018,1021,1034,1040,1052,1060,1067,1073,1086,1091,1097,1111,1114,1123,1134,1146,1149,1159,1169	0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,9,20,31,39,44,56,62,76,83,90,101,103,113,119,130,139,145,158,166,172,187,326,329,338,351,357,364,375,379,390,403,405,418,424,430,441,470,605,617,623,633,643,647,652,666,675,685,690,700,708,714,724,730,743,750,757,766,777,786,789,799,812,816,827,832,847,856,857,872,877,885,896,901,909,922,930,940,942,954,962,971,979,991,996,1004,1014,1022,1033,1038,1046,1060,1069,1074,1079,1093,1099,1104,1117,1124,1138,1139,1148,1156,1169	1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,15,24,27,40,48,54,60,73,82,93,94,110,117,123,131,144,145,154,167,173,317,323,333,337,348,353,362,375,381,390,402,405,418,423,436,442,460,608,617,619,630,636,648,654,662,674,679,692,699,710,714,728,733,743,750,754,770,774,785,796,800,811,814,825,831,845,850,862,872,882,887,892,902,910,924,927,934,944,951,961,976,980,992,996,1007,1017,1023,1034,1039,1047,1057,1069,1075,1087,1090,1098,1105,1119,1127,1138,1143,1155,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,27,35,48,55,68,71,81,85,98,103,117,121,134,136,150,156,168,170,317,321,328,338,347,354,366,378,383,394,403,404,417,424,434,437,599,602,617,621,631,641,651,656,666,669,680,686,700,708,718,721,733,738,750,756,770,777,781,797,802,812,822,826,833,847,854,865,870,878,883,894,901,908,924,926,937,947,951,962,971,979,991,996,1008,1014,1023,1030,1039,1050,1060,1066,1077,1082,1094,1100,1106,1115,1127,1136,1145,1151,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,25,31,35,44,53,64,69,80,91,101,108,118,124,136,139,151,160,164,178,315,319,327,342,351,359,362,371,382,390,402,411,413,427,435,438,599,601,612,622,634,642,651,656,668,672,684,692,700,707,718,728,729,744,748,754,763,775,782,796,804,806,819,824,837,840,849,865,869,874,885,897,903,916,921,933,939,945,951,966,970,981,986,996,1009,1018,1019,1028,1038,1045,1054,1069,1077,1079,1094,1099,1112,1117,1126,1137,1142,1153,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,29,34,50,54,59,71,78,92,101,107,116,126,132,144,150,157,166,176,316,318,331,340,348,356,361,374,380,388,401,411,418,428,429,445,600,605,614,625,633,643,645,656,662,674,686,692,701,705,714,727,736,739,754,758,764,774,785,797,802,808,817,830,832,842,849,863,871,880,889,895,900,916,923,927,936,949,956,967,969,983,989,997,1008,1016,1022,1031,1039,1046,1054,1062,1077,1083,1090,1103,1106,1119,1126,1137,1144,1154,1160,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,25,32,41,48,51,62,69,78,93,97,110,117,123,136,143,149,155,166,176,314,325,328,337,346,359,365,374,386,391,396,411,413,425,431,444,597,607,617,619,626,641,647,658,665,672,679,689,697,711,712,724,737,738,753,760,771,779,786,794,803,806,819,825,834,844,848,857,865,874,887,896,904,908,921,930,938,945,952,968,969,979,987,995,1005,1012,1023,1033,1041,1049,1061,1069,1074,1080,1089,1098,1105,1120,1122,1136,1141,1153,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,33,39,48,54,67,73,81,88,95,103,114,119,131,144,149,156,162,177,313,323,332,342,344,352,362,376,384,392,397,404,415,427,434,437,463,601,617,619,632,639,644,654,665,672,678,693,700,711,719,720,731,745,747,760,768,776,786,795,804,811,817,823,837,844,856,860,870,878,885,894,903,910,923,928,939,949,954,960,970,977,990,1002,1005,1013,1021,1035,1040,1046,1057,1063,1075,1081,1091,1097,1113,1114,1129,1137,1146,1148,1157,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,32,36,46,57,60,75,79,93,100,107,113,127,128,136,149,155,167,173,313,326,331,336,344,355,366,375,379,386,402,404,416,424,436,445,449,605,614,618,633,641,645,660,664,675,683,686,697,705,718,721,735,744,748,762,766,772,788,789,803,814,817,826,839,840,850,862,873,874,882,893,902,911,918,927,941,946,953,967,974,982,992,996,1009,1012,1024,1032,1037,1045,1055,1065,1075,1082,1091,1103,1106,1113,1126,1135,1145,1152,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,18,28,34,48,54,61,71,81,91,101,106,117,121,134,139,147,161,169,174,314,326,331,337,350,355,365,377,384,390,396,409,420,426,431,439,597,601,616,620,629,640,643,652,661,675,685,693,699,707,712,720,733,741,747,760,765,777,786,793,798,809,821,824,837,846,857,862,870,879,890,899,908,916,923,928,935,947,952,967,972,982,988,1000,1002,1012,1027,1029,1036,1050,1054,1064,1075,1082,1094,1104,1108,1114,1122,1138,1141,1155,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,17,33,34,49,52,66,73,82,91,97,107,114,123,132,140,147,154,162,171,180,321,332,341,351,358,361,373,378,390,396,410,412,427,434,445,597,605,613,621,627,643,645,658,666,672,680,689,699,711,718,720,729,742,750,762,763,778,784,789,804,813,818,825,837,847,848,860,869,874,886,894,904,912,918,928,938,946,953,964,971,984,992,1000,1010,1011,1020,1034,1039,1051,1058,1066,1074,1079,1094,1096,1105,1118,1124,1130,1145,1155,1156,1172,1175	0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,23,30,41,45,56,63,72,80,92,95,104,117,126,129,137,145,158,164,172,314,325,334,335,345,352,368,376,384,394,395,406,419,421,436,441,456,605,613,624,628,637,648,659,666,672,686,692,701,704,716,721,736,743,751,762,763,773,784,796,800,812,822,828,833,843,850,863,872,876,890,899,905,911,917,929,941,946,959,960,974,978,992,998,1005,1014,1025,1035,1042,1050,1055,1065,1071,1085,1089,1099,1111,1115,1123,1136,1143,1151,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,17,30,41,46,57,67,68,79,93,96,106,113,125,135,140,149,161,169,177,317,323,329,342,347,356,361,370,386,387,399,405,413,422,434,443,598,606,612,626,634,640,648,659,661,669,678,694,699,706,715,724,735,743,746,758,768,776,783,789,798,814,817,823,833,845,852,858,866,878,884,896,907,909,924,931,939,942,958,964,969,982,985,1001,1008,1014,1025,1031,1043,1046,1055,1062,1078,1086,1091,1103,1109,1115,1128,1130,1139,1151,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,19,27,38,44,56,60,73,79,85,99,103,111,124,131,141,153,155,170,174,315,322,328,340,345,360,367,372,383,392,403,412,413,423,433,443,466,606,614,624,631,643,647,659,664,673,682,693,695,711,716,722,735,741,751,761,769,776,782,794,798,810,816,828,836,844,851,859,873,877,886,899,906,914,925,929,941,944,956,964,976,983,988,1001,1009,1014,1021,1035,1044,1051,1058,1066,1072,1080,1091,1098,1109,1119,1122,1130,1143,1155,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,23,28,39,46,58,64,73,77,86,100,104,114,124,129,142,151,158,164,173,313,325,326,341,345,355,365,373,383,388,403,404,417,426,430,445,451,601,615,623,629,640,652,655,663,675,685,686,697,708,717,727,733,742,753,763,767,776,787,789,798,814,820,830,839,844,849,859,869,879,883,895,900,913,923,928,934,946,958,963,973,984,989,993,1007,1013,1023,1030,1042,1051,1054,1066,1073,1083,1087,1102,1111,1116,1124,1131,1145,1155,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,25,41,47,58,65,76,80,87,99,105,118,124,131,144,146,157,164,171,188,321,328,342,349,356,362,372,384,389,395,409,418,421,436,442,447,605,611,621,635,642,650,652,666,677,686,688,694,711,712,724,730,742,746,755,763,777,787,793,803,808,820,827,836,845,851,865,868,877,890,898,905,909,918,933,940,942,955,968,975,980,986,994,1008,1013,1023,1031,1039,1052,1058,1069,1076,1081,1091,1099,1107,1121,1129,1134,1146,1148,1158,1172,1178	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,21,29,41,47,55,63,74,77,89,101,103,116,122,136,137,152,160,164,177,314,319,331,343,344,359,368,373,383,387,397,409,417,427,433,441,598,603,614,621,630,641,646,659,668,674,678,689,695,709,719,728,733,744,751,761,766,775,787,792,805,809,820,824,833,843,848,860,869,875,890,898,899,916,921,932,939,947,957,967,971,977,992,993,1009,1019,1023,1030,1042,1046,1057,1062,1078,1081,1092,1100,1112,1119,1124,1137,1146,1155,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,30,39,44,52,62,71,84,91,99,103,119,122,132,144,148,157,167,171,317,322,328,343,350,356,367,377,381,389,396,408,414,424,431,439,453,608,615,624,629,642,647,656,668,675,678,689,699,703,719,728,730,743,753,758,768,776,781,792,801,806,815,829,836,848,851,863,871,878,885,892,903,912,921,933,938,947,951,967,975,977,988,999,1007,1015,1019,1033,1041,1050,1061,1064,1073,1083,1095,1098,1104,1119,1129,1135,1146,1149,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,25,32,41,47,51,62,71,77,89,95,104,118,121,131,138,147,160,163,171,317,319,329,337,351,356,366,376,384,393,399,407,415,426,429,440,600,608,616,618,628,637,646,652,665,675,683,688,697,706,718,727,729,739,753,756,765,773,788,790,798,814,815,824,832,845,852,865,872,878,890,896,901,912,923,933,939,946,952,960,975,983,989,995,1007,1017,1021,1028,1040,1051,1059,1068,1073,1083,1089,1097,1111,1118,1127,1138,1143,1153,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,20,26,35,45,51,66,75,78,85,99,109,112,125,133,144,149,160,164,176,316,322,331,338,350,352,366,375,380,391,396,407,419,426,429,443,468,605,610,618,632,640,649,655,665,669,680,687,697,704,717,725,730,743,749,758,769,775,780,791,801,810,814,828,836,845,852,859,868,882,883,895,907,910,920,929,934,945,958,965,970,979,987,995,1005,1013,1027,1036,1042,1047,1054,1062,1072,1082,1093,1097,1104,1119,1122,1131,1146,1148,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,25,37,50,55,61,70,81,92,101,104,111,119,129,142,150,159,167,173,315,325,328,342,349,353,365,373,379,388,402,407,417,421,437,441,598,605,615,619,629,642,649,652,663,672,682,687,702,707,716,721,730,738,752,754,766,774,786,790,805,807,819,826,835,845,853,864,869,878,885,891,901,911,924,929,934,951,957,960,970,978,990,994,1007,1018,1027,1033,1042,1050,1055,1063,1073,1079,1092,1096,1110,1118,1123,1134,1142,1149,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,31,38,44,56,66,69,81,89,96,107,118,126,130,145,146,158,167,176,318,325,333,338,345,353,365,374,386,395,396,406,417,423,432,444,598,609,612,618,634,637,648,659,661,675,681,694,699,708,716,728,732,742,750,757,768,777,780,794,801,812,815,827,832,847,850,859,866,880,890,893,904,915,923,926,938,949,954,966,976,982,989,994,1010,1019,1024,1028,1038,1051,1056,1063,1071,1081,1091,1104,1105,1114,1128,1134,1143,1155,1160,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,29,41,50,52,66,69,79,90,94,103,112,125,132,140,152,156,163,179,313,321,331,339,344,358,361,371,385,391,401,410,420,423,430,441,599,607,616,624,633,640,645,656,668,677,680,690,702,703,719,721,732,737,747,762,763,779,786,794,801,810,818,831,832,840,848,864,873,877,887,891,907,909,923,928,938,942,955,964,969,977,990,999,1009,1014,1025,1028,1042,1049,1055,1065,1076,1085,1093,1103,1105,1113,1129,1138,1145,1155,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,25,26,37,47,52,66,68,81,90,97,102,114,126,128,143,149,153,166,178,315,321,327,338,351,360,367,372,383,390,403,411,419,421,434,442,462,606,617,626,630,640,649,653,662,670,678,689,699,705,712,725,732,739,752,759,764,772,785,793,801,807,821,824,839,843,857,860,870,877,888,891,901,909,920,930,938,944,956,967,970,982,991,996,1005,1013,1027,1031,1043,1052,1056,1062,1078,1082,1095,1101,1112,1119,1129,1137,1144,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,30,36,43,58,61,68,82,91,99,106,112,125,135,137,151,158,162,171,315,319,330,336,346,355,363,372,382,391,400,406,415,428,436,444,600,606,616,618,629,638,650,658,666,674,686,689,700,703,716,728,734,744,750,762,767,774,783,789,803,809,817,827,833,841,851,862,868,875,884,894,901,912,922,926,937,947,952,960,974,978,987,1001,1008,1015,1026,1029,1042,1048,1058,1065,1071,1081,1092,1103,1107,1114,1125,1131,1144,1153,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,33,42,50,57,62,68,80,92,94,106,115,124,134,139,148,160,168,178,314,324,330,337,344,358,364,371,379,389,401,410,414,423,434,442,599,602,616,621,633,641,647,655,666,676,682,688,702,706,713,727,734,739,751,757,763,771,785,789,801,807,820,831,839,843,849,862,871,878,884,893,905,909,917,927,941,947,953,967,969,976,991,998,1002,1016,1024,1030,1043,1051,1061,1064,1078,1085,1094,1096,1107,1118,1124,1132,1143,1152,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,22,31,39,50,58,63,75,78,88,93,103,119,126,134,138,150,161,170,175,313,324,327,340,352,353,367,369,381,387,401,410,420,425,433,439,599,605,617,621,627,638,643,659,662,673,678,686,700,708,716,721,735,741,754,755,768,777,788,792,802,811,814,828,833,846,850,864,871,880,885,897,904,915,920,932,934,943,955,966,971,982,991,994,1003,1018,1020,1028,1043,1053,1059,1069,1075,1087,1091,1103,1108,1120,1128,1138,1142,1155,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,28,34,45,51,61,75,78,90,99,110,118,126,129,143,146,159,168,177,314,321,329,341,349,356,364,370,381,387,402,410,413,426,431,438,600,604,612,618,628,640,644,659,668,677,686,694,703,706,720,728,732,743,748,755,768,773,786,790,797,812,815,823,836,845,855,860,871,880,889,898,900,912,917,926,934,945,953,961,976,982,990,996,1007,1011,1022,1035,1042,1046,1060,1066,1072,1081,1092,1096,1105,1117,1125,1135,1146,1153,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,29,42,47,54,64,72,83,89,97,105,119,120,136,140,153,158,169,173,182,320,330,335,344,355,361,375,378,389,395,407,413,421,429,438,597,608,612,625,629,642,647,656,666,675,681,690,696,703,720,725,729,737,748,759,769,773,786,791,801,807,815,831,835,845,851,858,866,874,883,894,908,916,918,926,941,950,952,966,969,978,991,998,1004,1016,1021,1031,1044,1052,1061,1067,1074,1083,1094,1104,1110,1115,1123,1132,1146,1149,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,9,19,34,42,43,51,67,70,78,86,95,108,113,124,129,141,149,156,167,177,184,320,327,342,347,354,365,374,378,391,395,410,413,425,437,438,600,603,616,619,629,641,648,657,662,675,680,688,701,710,714,727,732,743,748,754,767,771,782,789,803,807,816,825,835,842,849,865,866,880,887,893,903,910,918,929,938,949,952,964,968,984,990,996,1010,1014,1026,1033,1040,1047,1054,1064,1073,1083,1091,1102,1112,1119,1122,1134,1139,1152,1162,1171,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,27,34,47,53,67,75,83,90,98,103,111,123,135,137,151,162,165,175,187,322,329,336,346,359,362,377,382,388,397,407,416,427,433,440,598,608,611,626,628,640,651,655,664,673,684,688,696,704,718,727,729,743,754,757,768,777,783,793,801,812,815,827,833,847,852,857,865,877,890,894,907,912,918,926,937,949,954,966,976,982,987,996,1004,1011,1027,1031,1036,1046,1056,1069,1075,1082,1087,1102,1106,1120,1128,1138,1141,1147,1156,1170	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,22,32,38,48,53,64,76,82,88,99,103,117,122,131,138,146,155,169,171,179,323,329,339,346,358,365,374,381,387,396,408,416,426,436,446,470,601,610,618,627,637,648,656,667,676,677,690,700,705,718,726,733,743,746,760,771,772,782,797,799,813,822,831,834,845,854,864,871,880,883,897,901,911,918,928,937,950,951,963,974,979,993,1000,1010,1015,1027,1036,1038,1045,1060,1066,1075,1079,1094,1100,1106,1115,1122,1134,1145,1153,1163,1172,1174	0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,23,28,38,48,59,60,73,84,85,95,103,114,123,129,144,147,160,168,175,208,326,334,343,346,353,362,373,386,392,402,411,418,421,437,444,596,603,614,624,634,643,648,657,664,675,681,691,701,710,712,727,732,744,750,762,766,777,787,795,800,813,820,823,838,847,851,864,865,879,887,892,901,908,921,926,942,947,958,966,974,978,993,994,1004,1011,1019,1035,1040,1047,1060,1068,1073,1080,1092,1097,1106,1114,1126,1136,1143,1152,1162,1166,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,24,27,35,50,56,63,75,84,85,100,102,112,122,134,143,152,156,166,178,186,321,329,341,349,355,364,372,380,387,403,406,415,423,431,440,450,603,617,622,630,640,643,659,662,669,683,686,696,705,716,726,735,744,751,759,763,772,788,796,805,807,820,829,832,848,850,862,868,878,890,892,900,909,923,927,941,943,953,962,972,976,991,996,1002,1013,1026,1032,1038,1049,1061,1067,1072,1080,1089,1099,1110,1115,1129,1134,1140,1150,1159,1166,1176	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,12,24,31,36,43,54,62,76,78,91,95,110,118,126,132,142,152,155,168,174,180,324,328,340,348,358,367,376,385,394,398,407,419,421,429,442,465,607,617,626,631,639,648,660,664,676,683,689,700,705,714,726,733,740,754,756,771,776,782,791,800,810,819,825,832,847,854,864,869,882,888,892,907,908,919,927,934,944,953,966,972,979,992,996,1005,1010,1024,1030,1044,1048,1061,1066,1072,1084,1089,1099,1110,1115,1124,1131,1140,1151,1160,1166,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,23,33,34,50,53,67,76,83,92,101,104,111,124,134,144,153,156,162,178,181,325,330,339,346,359,363,374,385,388,402,404,412,421,429,442,599,606,609,618,629,636,647,652,661,677,681,693,696,711,720,726,731,744,746,754,769,772,781,791,799,810,815,830,834,842,848,859,870,879,888,897,904,910,924,927,939,945,953,967,973,977,985,997,1009,1010,1022,1031,1040,1050,1054,1066,1071,1083,1093,1101,1106,1115,1125,1136,1139,1149,1159,1165	0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,18,25,38,43,56,63,76,84,86,100,110,115,125,134,140,145,160,170,171,316,320,335,339,344,359,365,373,380,390,396,409,419,425,435,446,460,602,610,619,630,637,649,658,666,676,684,693,696,705,720,726,735,739,746,759,763,779,781,795,797,810,817,825,839,840,856,859,865,879,889,899,904,910,917,933,936,950,957,967,975,979,986,995,1010,1014,1020,1035,1043,1046,1057,1066,1071,1083,1090,1097,1112,1115,1122,1136,1139,1153,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,26,39,49,51,68,75,85,87,96,106,113,126,132,140,151,153,169,178,193,318,329,340,345,353,369,376,380,390,396,412,419,421,435,444,467,605,613,619,632,641,645,659,664,675,679,691,700,704,712,721,736,744,746,755,766,773,783,794,799,813,819,823,839,842,857,862,870,882,884,896,907,913,920,926,938,943,958,960,972,982,989,999,1003,1014,1027,1034,1041,1053,1060,1066,1074,1079,1091,1103,1109,1115,1127,1132,1146,1153,1163,1169,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,18,30,40,50,55,65,76,77,90,98,106,118,124,131,143,146,158,165,173,181,318,331,336,349,357,363,374,378,392,397,410,419,423,434,443,458,602,615,618,634,636,645,652,665,671,680,692,695,709,715,725,730,741,753,758,770,772,786,791,801,807,815,827,838,847,856,860,869,881,889,896,905,909,921,930,940,945,951,961,973,983,988,1000,1007,1017,1021,1032,1036,1052,1058,1066,1075,1081,1095,1099,1106,1117,1123,1131,1143,1149,1160,1166,1177	1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,10,22,29,38,46,55,62,68,77,92,94,107,115,120,128,140,145,154,163,173,182,319,328,340,348,355,363,377,378,392,402,406,412,422,432,444,453,602,614,624,626,642,648,657,662,675,678,688,698,705,719,722,729,744,750,758,770,779,785,790,801,813,814,825,836,845,854,858,869,881,886,896,899,910,924,930,940,950,953,965,975,984,993,994,1009,1016,1025,1033,1039,1052,1059,1064,1071,1079,1094,1096,1110,1114,1126,1133,1138,1153,1162,1169,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0
6,10,17,32,41,49,59,65,70,76,88,95,105,115,119,129,140,148,160,170,171,194,318,329,336,352,360,362,369,385,388,397,409,415,421,436,443,460,605,612,618,633,637,645,658,662,669,682,686,702,703,716,720,735,743,751,761,763,773,783,796,798,807,820,825,838,842,849,863,874,878,889,895,907,909,918,925,941,949,959,962,972,983,993,999,1005,1011,1020,1035,1043,1050,1061,1067,1072,1087,1095,1100,1113,1119,1129,1137,1143,1151,1161,1167,1176	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,17,31,41,48,53,61,71,83,92,101,108,112,125,132,140,151,158,169,173,187,322,327,336,352,360,366,372,385,388,397,405,418,429,434,445,598,603,611,623,633,637,650,652,662,676,684,692,698,704,714,726,733,741,746,755,764,775,788,794,798,806,814,826,839,846,855,859,874,877,889,892,902,909,923,929,940,949,952,961,970,982,988,997,1007,1017,1023,1031,1041,1047,1055,1068,1073,1081,1094,1102,1109,1118,1123,1138,1141,1151,1157,1164	0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,16,18,26,34,47,52,64,70,81,87,99,105,114,120,130,142,146,156,163,171,194,323,333,341,344,352,367,375,382,392,402,407,418,422,437,445,596,605,613,620,626,641,648,659,661,672,683,689,700,705,712,721,730,741,750,754,765,773,785,789,805,814,819,830,833,840,849,863,865,874,885,899,905,915,917,926,936,950,951,959,969,981,993,997,1009,1013,1025,1032,1037,1046,1059,1070,1075,1085,1089,1098,1110,1116,1129,1134,1139,1154,1163,1171	1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,24,34,38,44,59,64,76,85,86,95,105,112,121,134,143,148,157,166,175,313,321,332,341,347,352,365,372,386,394,395,403,417,423,431,446,598,607,612,625,633,638,650,658,665,675,679,687,700,708,715,725,736,739,748,762,770,777,787,791,797,807,815,825,831,847,849,859,871,878,886,892,905,909,919,931,935,946,957,962,968,978,991,1000,1004,1015,1021,1029,1039,1046,1059,1067,1075,1085,1092,1098,1109,1114,1129,1131,1144,1151,1156,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,26,41,43,59,63,75,78,88,95,109,112,124,131,138,150,156,166,170,315,320,330,339,347,356,366,372,385,393,396,403,417,425,429,438,598,601,616,619,629,637,644,656,668,669,678,694,699,710,719,723,731,741,749,758,764,778,780,794,804,813,821,825,834,846,852,865,873,876,889,899,907,914,919,925,942,949,952,964,971,977,985,994,1003,1013,1023,1027,1037,1053,1055,1069,1071,1083,1092,1103,1111,1115,1125,1136,1146,1150,1158,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,30,41,43,53,65,75,80,89,95,107,113,122,129,141,151,155,164,172,314,321,330,336,345,358,365,376,379,391,398,403,418,428,431,439,596,607,614,618,633,640,644,655,661,677,680,686,694,710,713,723,736,739,747,759,766,777,786,794,802,808,822,825,831,840,849,863,867,881,890,896,903,914,921,926,939,946,956,959,975,980,987,994,1008,1011,1023,1032,1042,1046,1055,1066,1070,1086,1094,1097,1105,1115,1128,1138,1142,1155,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,21,31,42,49,53,63,69,81,88,101,107,112,122,129,142,153,158,170,177,315,323,330,336,349,353,363,372,382,392,403,404,418,422,435,440,597,606,614,621,634,642,647,659,668,674,681,692,695,704,715,727,731,742,750,755,770,778,783,789,800,807,819,823,838,845,851,862,867,877,890,894,905,912,920,928,934,949,951,962,970,984,990,997,1010,1011,1023,1035,1039,1045,1059,1064,1074,1080,1091,1098,1108,1114,1123,1132,1145,1155,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,34,36,48,57,68,72,84,85,96,103,116,124,132,143,150,160,169,173,317,324,327,340,344,360,366,371,384,387,398,406,418,424,437,442,447,601,616,620,632,641,647,659,661,676,683,687,700,711,716,721,737,744,746,759,770,772,784,789,797,814,821,827,835,844,854,860,866,876,888,898,902,911,919,929,941,944,958,966,968,984,989,997,1004,1015,1027,1034,1039,1051,1057,1063,1076,1084,1090,1103,1109,1118,1122,1138,1140,1147,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,24,26,39,42,51,60,74,77,91,100,110,118,125,128,138,150,159,163,174,317,323,329,336,346,359,366,370,380,394,395,409,413,425,435,439,599,605,617,622,628,640,644,654,665,674,681,691,694,706,713,725,733,741,751,762,768,775,782,796,800,807,819,824,838,841,852,857,869,881,885,895,900,911,920,926,940,946,958,960,975,981,986,994,1006,1018,1024,1036,1038,1051,1061,1063,1071,1084,1088,1098,1107,1121,1128,1135,1145,1149,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,18,29,38,50,54,62,74,81,91,100,104,117,127,130,137,153,159,162,177,314,322,327,337,347,360,361,377,380,387,397,409,420,428,432,437,448,608,615,621,632,636,650,654,663,669,682,691,696,707,720,725,732,739,749,757,767,776,785,795,798,811,819,831,836,846,852,858,866,878,885,893,905,908,920,931,934,949,956,965,975,984,985,998,1004,1012,1022,1030,1041,1052,1057,1062,1075,1080,1089,1104,1106,1118,1126,1138,1147,1150,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,17,28,41,48,51,63,75,80,91,101,102,117,127,133,144,149,161,168,171,316,325,332,336,348,357,362,376,383,391,395,404,419,424,433,439,596,602,614,619,632,640,646,655,665,672,683,689,697,706,716,726,730,742,753,755,769,772,787,794,803,809,822,828,837,842,856,864,866,880,886,899,901,908,922,925,938,950,952,962,971,977,990,994,1009,1012,1026,1034,1037,1048,1056,1068,1077,1085,1094,1099,1107,1117,1125,1137,1147,1149,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,30,38,44,58,65,76,82,91,99,103,111,123,131,142,148,160,169,173,191,321,327,343,348,359,368,376,382,394,398,409,417,422,433,442,467,601,614,618,629,641,649,652,662,676,685,689,702,707,717,727,732,745,751,758,763,779,781,791,797,813,820,829,833,845,850,861,873,879,887,899,906,915,919,932,941,947,957,967,971,980,989,993,1002,1018,1026,1030,1039,1045,1060,1064,1077,1081,1089,1102,1109,1115,1123,1137,1146,1149,1156,1169,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,11,18,28,41,46,53,63,71,85,93,102,110,118,120,134,137,145,160,165,178,313,321,332,337,344,355,362,372,383,391,400,408,416,424,437,441,456,607,614,619,633,641,646,652,668,672,681,693,703,709,715,727,732,738,748,755,767,778,786,796,805,806,821,826,834,847,856,862,867,879,883,898,905,913,919,930,939,942,958,964,972,980,992,997,1004,1013,1025,1032,1038,1053,1057,1066,1078,1079,1094,1097,1108,1118,1125,1136,1146,1154,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,33,38,50,57,65,68,82,88,95,106,115,120,130,144,149,154,167,177,317,318,332,338,345,360,369,370,379,390,395,406,419,428,435,446,598,607,612,620,627,635,643,658,669,672,683,690,696,706,718,727,733,742,748,761,770,771,783,789,798,809,820,825,839,845,855,857,870,875,886,898,902,913,919,926,938,946,952,964,974,979,989,1002,1004,1010,1027,1035,1042,1047,1056,1069,1077,1081,1095,1103,1106,1120,1127,1131,1144,1152,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,31,38,46,52,64,73,78,93,100,104,115,121,135,137,151,161,169,175,317,323,334,335,350,358,365,370,386,394,402,410,413,422,429,441,597,608,614,618,631,637,650,655,662,675,684,693,694,704,719,724,732,744,746,755,763,778,784,789,800,808,817,824,835,846,855,865,872,874,888,898,903,916,923,929,934,949,959,961,975,984,985,1000,1002,1012,1022,1033,1044,1050,1055,1067,1074,1083,1095,1098,1109,1119,1124,1134,1146,1151,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,31,35,45,51,67,69,79,91,97,110,115,120,135,144,146,160,170,175,316,323,332,336,344,356,363,377,386,387,395,405,415,425,432,444,449,601,617,622,626,643,649,656,665,676,682,694,695,705,712,721,730,738,746,760,771,776,784,789,797,814,820,828,833,845,857,861,872,879,890,898,903,910,924,928,936,950,952,961,970,984,990,997,1010,1014,1020,1028,1040,1046,1058,1068,1074,1087,1090,1101,1109,1119,1127,1137,1144,1151,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,29,35,48,57,60,68,81,91,101,108,116,127,135,141,152,154,168,173,179,320,330,338,352,353,367,372,382,388,400,407,415,425,432,438,451,607,611,618,632,639,649,660,667,669,681,686,702,706,716,723,729,740,746,762,768,779,785,793,803,813,814,830,831,844,851,857,866,879,886,896,900,916,924,926,934,942,958,966,973,981,989,994,1008,1012,1025,1031,1044,1048,1058,1069,1078,1085,1093,1101,1105,1113,1126,1130,1139,1150,1161,1166,1174	0,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,21,30,38,46,57,67,73,77,87,96,108,116,124,131,143,150,156,167,176,314,321,328,342,345,358,366,377,381,390,399,409,414,421,434,442,450,602,615,624,628,638,652,656,666,673,684,692,697,707,714,726,729,738,746,760,769,772,782,793,805,808,817,828,832,840,850,859,871,874,886,898,900,913,920,931,942,945,957,960,976,981,993,995,1005,1011,1025,1028,1039,1051,1057,1069,1072,1080,1090,1099,1110,1114,1123,1137,1147,1153,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,32,39,44,58,63,72,77,92,97,109,118,125,134,136,151,154,169,176,316,323,329,341,346,359,362,373,385,393,399,406,418,427,435,443,599,603,617,626,633,640,646,659,660,675,681,688,700,711,718,726,737,738,749,760,770,771,783,794,797,814,817,826,836,842,854,859,873,881,887,892,902,914,919,928,936,949,954,965,974,976,993,994,1009,1014,1025,1028,1043,1050,1061,1064,1078,1083,1093,1103,1112,1116,1128,1138,1146,1152,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,26,38,43,58,66,75,84,93,94,102,118,125,132,137,146,161,170,174,316,326,332,339,350,353,364,370,378,394,398,405,418,427,435,442,460,608,614,623,633,642,648,653,663,669,681,689,702,707,713,728,729,743,748,759,766,774,787,794,797,811,819,827,832,844,850,860,868,874,885,892,907,908,917,927,937,943,957,961,975,977,991,995,1009,1015,1022,1028,1042,1052,1055,1064,1072,1084,1088,1096,1111,1115,1123,1131,1140,1148,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,17,28,35,48,56,62,69,82,92,99,106,111,127,132,141,145,154,163,178,315,320,330,336,351,352,366,374,378,389,398,405,420,426,429,439,600,607,614,623,631,641,643,659,662,670,685,689,695,710,719,728,729,745,754,758,765,778,784,789,805,806,818,831,835,843,851,861,871,878,888,893,906,911,923,932,936,948,955,964,976,982,989,996,1005,1011,1026,1035,1042,1047,1057,1063,1074,1082,1091,1099,1110,1113,1121,1138,1143,1149,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,27,36,50,59,60,70,84,91,95,109,118,120,134,143,147,162,168,174,316,322,334,335,349,359,366,372,386,394,396,408,418,425,433,438,596,602,617,618,633,636,643,656,668,674,682,694,697,708,712,720,733,745,749,758,766,774,782,794,801,809,814,826,836,848,852,858,868,875,884,897,903,913,922,931,940,945,953,966,974,978,986,1001,1008,1015,1025,1034,1040,1051,1054,1068,1077,1080,1088,1101,1108,1121,1123,1137,1145,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,20,29,36,47,57,66,75,81,85,101,108,116,125,128,140,145,154,162,171,315,320,334,336,348,360,362,370,384,392,400,405,419,428,430,443,597,602,614,623,635,641,646,654,667,676,680,690,702,705,712,728,737,740,746,757,767,779,787,789,798,808,816,823,838,846,849,860,874,879,882,895,905,915,921,926,941,945,952,963,973,977,987,993,1005,1015,1023,1034,1037,1052,1055,1064,1072,1084,1089,1099,1112,1115,1128,1132,1139,1148,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,28,40,44,54,67,69,84,90,98,107,114,120,130,144,146,161,162,175,316,325,334,343,345,356,362,372,382,392,401,403,419,426,433,438,598,603,614,619,629,637,651,654,664,677,685,689,698,707,719,725,734,743,751,758,765,779,780,796,805,810,821,825,834,840,851,859,873,882,887,897,904,916,918,933,937,947,953,960,973,978,988,1001,1008,1013,1020,1033,1043,1045,1059,1062,1072,1082,1093,1102,1107,1120,1125,1138,1143,1149,1164,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,33,39,45,54,66,73,82,87,100,106,118,123,131,139,147,159,164,175,314,322,330,338,352,355,362,375,379,386,396,410,416,425,429,445,596,602,614,619,628,635,649,653,668,670,682,694,697,709,713,723,729,741,753,759,763,777,784,793,804,806,816,828,833,844,853,860,872,875,886,894,907,913,919,933,935,948,955,966,968,981,992,995,1006,1015,1026,1036,1041,1047,1057,1067,1074,1083,1095,1104,1107,1121,1128,1132,1144,1151,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,33,37,44,54,65,76,80,87,100,106,112,123,130,140,151,160,170,176,313,326,329,335,348,352,366,373,378,389,397,404,414,426,432,446,600,601,615,625,626,638,649,658,664,672,679,693,702,704,720,721,730,741,751,755,767,774,781,790,800,809,818,830,837,843,853,860,868,878,887,896,905,909,920,928,940,949,957,966,973,984,992,1001,1004,1014,1020,1035,1039,1049,1059,1066,1076,1086,1093,1097,1105,1114,1125,1134,1142,1153,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,26,36,43,59,60,70,79,86,99,104,116,126,129,137,146,158,163,179,317,320,329,337,348,354,361,376,383,389,396,405,414,423,436,439,596,603,610,618,630,642,651,654,668,670,681,694,696,710,720,724,730,740,750,758,766,779,785,791,801,808,815,830,836,848,855,864,868,875,884,895,901,911,924,932,937,947,958,961,976,982,991,998,1004,1011,1027,1031,1040,1052,1060,1068,1077,1082,1088,1098,1113,1121,1130,1135,1142,1149,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,32,37,43,58,66,76,80,85,100,105,112,124,130,140,150,154,164,178,316,319,332,337,350,354,361,370,386,387,397,410,414,422,433,440,463,602,615,618,627,637,644,653,665,674,682,691,702,710,716,726,731,737,748,756,769,775,781,789,804,810,819,826,838,845,854,864,867,879,884,896,902,911,922,926,936,943,957,962,969,984,985,994,1007,1016,1021,1031,1038,1052,1058,1069,1071,1087,1092,1103,1108,1115,1128,1132,1144,1152,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,28,37,44,56,66,68,84,90,94,103,112,122,135,139,150,158,168,171,313,323,332,336,349,357,364,370,380,392,395,410,413,423,429,442,598,604,610,620,627,637,647,656,667,675,684,689,699,707,714,720,736,742,747,754,764,776,787,795,804,810,815,830,831,846,851,863,873,880,887,896,906,914,917,927,940,945,957,962,971,985,986,999,1004,1017,1019,1035,1038,1051,1058,1063,1078,1086,1089,1096,1113,1115,1126,1131,1139,1147,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,24,33,39,46,54,63,72,83,86,100,102,113,121,133,137,149,156,169,177,184,318,327,338,347,356,366,370,381,390,399,408,414,428,430,439,467,605,613,619,631,642,649,654,662,677,685,686,697,705,717,721,731,745,750,757,768,775,786,792,798,809,817,825,832,841,849,857,869,882,885,892,906,912,924,931,936,944,956,960,968,984,985,995,1007,1015,1019,1031,1044,1052,1061,1063,1072,1085,1094,1103,1108,1118,1124,1137,1142,1154,1158,1164	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,23,28,40,43,58,66,72,80,93,94,106,119,120,136,144,150,157,168,173,184,318,329,335,350,358,362,375,385,388,403,407,416,423,430,438,598,608,612,624,634,640,643,657,660,675,679,692,696,704,719,727,734,740,750,759,766,776,785,792,802,811,817,824,836,841,856,861,867,875,883,895,903,916,924,926,936,945,957,965,971,982,987,1002,1010,1013,1025,1034,1037,1051,1060,1063,1077,1083,1088,1098,1108,1117,1125,1133,1146,1150,1158,1169,1178	1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
7,15,23,26,34,47,53,66,72,85,89,100,107,114,121,128,141,152,159,165,176,191,326,330,341,345,356,362,377,380,393,396,406,420,427,430,441,596,603,616,618,635,636,650,655,663,675,683,686,703,707,716,724,733,744,751,756,770,773,784,792,797,809,816,829,831,846,852,865,872,878,885,893,907,913,920,932,938,944,958,964,971,982,990,998,1002,1018,1023,1029,1040,1047,1054,1065,1073,1081,1095,1097,1112,1120,1126,1137,1145,1151,1161,1172,1177	0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,25,27,34,47,57,67,75,82,90,97,109,111,126,135,139,145,159,167,175,186,320,333,337,347,355,363,375,381,387,403,408,413,428,430,444,449,603,613,620,633,639,651,659,664,675,682,693,695,711,718,727,732,741,751,758,763,777,787,790,801,812,820,825,838,846,851,864,872,877,883,898,906,914,922,926,942,946,956,967,969,977,993,1000,1007,1016,1020,1031,1040,1045,1057,1062,1070,1083,1087,1101,1111,1114,1122,1138,1147,1149,1162,1172	1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,22,33,34,45,56,65,68,80,87,99,106,118,121,130,143,151,154,166,171,186,320,332,342,347,358,367,376,384,394,399,408,418,426,437,438,597,603,613,621,631,637,645,657,668,673,681,691,699,705,720,726,731,742,748,760,767,773,782,791,800,811,815,825,839,845,854,862,870,879,885,891,907,916,924,926,942,947,952,965,972,979,987,995,1007,1012,1024,1028,1038,1047,1056,1065,1071,1079,1088,1102,1110,1114,1129,1138,1146,1152,1160,1164,1178	1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,13,25,26,41,51,53,65,70,83,87,97,109,111,125,132,145,153,161,163,178,187,321,327,343,345,359,363,377,379,389,401,404,418,425,429,441,597,605,616,626,632,636,648,656,663,670,682,694,700,710,718,724,729,741,750,758,770,775,784,793,800,808,818,825,836,845,849,865,872,878,884,892,902,910,919,927,935,950,956,966,968,981,992,1000,1003,1014,1024,1032,1042,1050,1061,1065,1077,1086,1089,1103,1107,1118,1123,1134,1144,1148,1158,1170	1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,12,20,29,35,48,52,59,72,78,92,100,109,114,127,130,139,147,153,162,171,183,326,334,336,349,354,361,376,379,389,403,408,417,422,429,441,455,601,617,620,631,637,647,652,662,672,683,691,700,704,720,728,729,739,747,760,764,775,784,797,804,808,819,829,832,846,854,863,869,878,889,895,907,911,922,931,938,947,955,960,975,977,992,995,1010,1014,1020,1030,1041,1048,1060,1065,1074,1081,1090,1104,1107,1121,1125,1137,1146,1154,1164,1169	1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
3,16,20,32,36,46,56,67,68,82,89,97,105,111,126,134,140,149,156,166,170,190,325,333,340,348,359,367,372,380,393,403,409,416,426,433,438,599,606,611,624,634,643,645,657,660,670,684,686,699,704,714,722,735,744,748,758,764,779,784,794,799,810,821,823,831,841,852,859,873,876,883,892,905,909,921,932,936,948,955,964,970,981,993,1001,1005,1011,1021,1036,1041,1047,1057,1068,1071,1079,1092,1098,1105,1120,1127,1136,1146,1150,1163,1172	0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,18,32,36,43,58,62,69,85,88,94,106,117,120,129,140,149,161,164,175,316,321,333,337,351,358,363,372,380,389,398,406,417,425,431,438,598,609,614,618,629,636,645,653,664,674,681,691,695,705,717,726,731,744,750,757,767,775,784,793,804,811,817,830,834,847,850,865,871,879,890,895,907,915,920,933,938,948,958,966,971,983,987,995,1007,1011,1027,1035,1037,1046,1056,1066,1077,1085,1089,1096,1113,1118,1122,1133,1139,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,33,37,47,52,66,72,80,90,95,102,111,120,129,142,149,156,165,173,188,323,333,336,347,358,365,372,385,386,400,406,413,422,435,444,600,604,613,625,627,637,643,656,663,676,684,687,701,704,719,723,731,737,754,760,763,775,783,791,799,809,818,825,838,845,851,863,870,879,887,896,901,914,918,930,941,948,952,967,971,981,985,997,1009,1017,1019,1032,1039,1049,1060,1066,1076,1082,1090,1101,1110,1117,1127,1131,1146,1148,1162,1166,1174	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,10,18,30,35,49,53,66,71,83,92,97,108,112,122,135,143,146,160,167,175,190,318,327,337,351,353,365,369,380,389,401,409,420,426,435,446,461,604,612,620,629,640,645,659,663,671,681,686,696,711,719,726,735,739,751,756,766,774,782,794,802,807,820,830,838,844,855,863,866,879,884,892,907,911,921,932,938,947,958,967,976,981,991,1002,1010,1015,1025,1029,1037,1049,1055,1066,1078,1080,1089,1098,1111,1120,1122,1138,1145,1151,1157,1169,1175	1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
6,13,19,29,40,43,53,68,72,84,91,95,110,118,126,136,140,149,161,170,172,188,326,333,340,346,354,363,375,385,392,397,411,419,423,433,441,459,602,617,626,627,642,650,659,665,675,677,688,701,708,719,722,733,742,747,759,771,779,780,789,798,808,819,828,836,847,849,865,866,880,887,893,906,916,925,928,941,944,956,960,975,979,989,996,1009,1014,1026,1028,1041,1048,1053,1069,1072,1080,1091,1096,1108,1114,1122,1135,1143,1150,1160,1165	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
5,9,23,30,38,49,57,63,76,81,90,97,105,113,125,131,137,152,158,167,171,182,319,330,335,344,353,363,374,381,391,399,408,415,423,432,440,598,601,609,623,631,643,645,655,665,675,681,689,695,706,717,727,731,739,752,756,764,774,783,793,799,811,815,823,833,846,850,858,866,882,889,899,907,914,925,931,934,947,951,964,976,983,988,1002,1005,1016,1027,1031,1040,1046,1058,1062,1075,1079,1096,1098,1109,1120,1126,1134,1139,1147,1156,1170	1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
4,9,18,27,41,45,59,67,71,79,86,95,108,117,125,132,138,145,158,167,176,180,321,329,340,347,352,366,371,380,387,395,406,419,425,432,446,468,602,613,618,633,640,645,657,665,671,680,689,698,706,715,721,731,742,751,761,767,776,780,796,799,807,821,831,835,841,852,857,867,878,890,896,907,911,917,933,941,950,951,959,976,981,992,997,1006,1014,1027,1034,1036,1045,1054,1069,1077,1085,1095,1102,1105,1115,1124,1131,1146,1147,1157,1165,1178	0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,19,33,35,46,55,60,75,81,87,102,105,116,121,135,140,148,154,164,172,180,322,334,340,352,360,363,370,378,391,402,411,418,428,432,440,463,606,609,621,627,635,650,653,666,672,682,691,697,707,712,727,736,739,754,758,768,777,784,793,799,809,818,827,831,842,849,860,866,874,883,895,908,914,921,929,938,945,952,960,973,979,990,1000,1007,1019,1024,1036,1039,1047,1059,1067,1071,1086,1087,1104,1109,1115,1129,1133,1145,1155,1162,1165	0,0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,20,27,42,50,51,67,76,82,92,96,104,119,127,133,137,147,160,164,174,313,325,335,342,346,356,366,377,383,387,395,408,413,425,430,442,468,608,613,619,627,637,645,654,662,673,681,690,697,709,718,727,732,742,749,760,769,776,786,790,799,806,818,830,832,845,857,859,870,877,887,895,899,909,920,931,937,946,957,961,969,981,993,998,1005,1010,1020,1030,1043,1050,1057,1064,1071,1081,1093,1097,1107,1116,1123,1135,1141,1153,1161,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,34,35,49,56,59,73,83,89,96,104,115,125,128,145,150,161,166,178,316,325,327,341,349,358,369,373,386,392,400,411,418,423,432,445,466,606,617,622,631,639,645,655,661,676,684,689,700,711,715,726,736,742,752,761,767,779,781,794,798,807,816,827,839,846,856,861,873,878,887,897,905,912,922,933,934,946,956,965,970,978,985,999,1010,1017,1025,1034,1039,1048,1057,1067,1072,1084,1095,1102,1110,1117,1123,1132,1145,1148,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,33,39,49,57,63,71,83,89,95,110,112,127,136,137,152,155,166,176,315,323,331,339,344,357,362,370,380,393,402,411,418,424,432,441,463,606,616,626,634,638,650,657,665,676,685,689,698,708,713,722,729,745,746,759,769,772,787,792,801,812,822,826,835,847,853,860,872,875,884,898,900,911,923,929,941,947,954,962,970,984,990,994,1007,1016,1023,1033,1044,1048,1059,1064,1071,1081,1094,1104,1112,1116,1124,1131,1139,1154,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,19,28,34,49,51,64,75,83,88,95,104,111,123,133,139,153,159,169,173,317,326,334,342,345,355,366,375,378,393,399,407,416,428,432,443,597,607,615,622,629,641,651,659,667,669,680,692,700,710,716,727,731,742,748,762,769,779,782,788,802,806,818,823,836,840,849,858,866,877,887,894,907,912,918,931,940,943,954,961,974,977,991,1000,1003,1013,1021,1034,1036,1051,1058,1065,1075,1081,1094,1103,1112,1114,1121,1133,1146,1148,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,26,42,47,57,65,73,77,91,96,110,116,127,132,140,151,156,168,178,316,321,332,342,344,352,368,375,379,389,397,407,414,421,430,441,598,605,610,625,630,637,643,658,663,673,683,689,702,705,720,722,733,742,748,755,766,777,783,794,801,807,819,829,835,846,849,863,867,881,891,892,908,913,920,931,941,943,959,963,973,978,986,1002,1009,1015,1027,1032,1043,1050,1060,1070,1078,1086,1089,1099,1112,1113,1128,1131,1145,1150,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,28,41,47,56,67,72,83,89,95,103,117,127,128,143,150,160,167,179,317,319,331,340,346,360,365,369,386,388,396,408,414,427,434,440,469,602,617,623,629,635,647,657,663,671,679,688,697,704,718,728,729,745,751,755,766,779,782,795,801,810,814,828,838,840,848,859,872,879,888,898,904,908,920,928,941,945,953,965,976,980,985,994,1002,1012,1026,1030,1038,1051,1057,1067,1072,1084,1092,1098,1105,1118,1124,1135,1143,1151,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,33,38,43,51,67,68,83,92,101,108,113,128,130,138,146,154,164,175,314,319,330,338,345,353,363,372,383,391,397,404,418,423,431,444,596,601,614,623,634,641,645,656,666,676,683,692,703,708,716,726,732,745,749,761,768,780,785,796,802,808,815,824,839,844,849,857,874,882,886,892,905,916,919,930,938,945,951,966,975,980,987,998,1005,1018,1027,1034,1037,1047,1060,1064,1078,1085,1091,1099,1108,1116,1128,1132,1141,1154,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,28,36,43,56,61,72,81,88,102,103,117,124,135,142,151,161,164,175,313,323,334,341,344,353,364,372,384,392,401,410,414,427,431,445,596,607,614,621,629,638,650,658,667,673,685,692,696,710,713,727,731,739,750,759,765,776,781,796,805,813,820,826,837,848,856,861,867,879,890,896,907,916,920,928,941,942,958,967,974,984,992,1001,1010,1017,1021,1031,1041,1052,1056,1065,1074,1082,1089,1100,1107,1115,1127,1133,1146,1149,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,28,34,48,58,64,73,78,93,99,107,111,123,132,138,151,155,163,175,185,319,331,335,350,352,368,369,379,389,401,407,417,422,436,446,596,607,612,624,632,643,647,654,667,670,685,693,696,703,715,723,733,743,750,759,767,778,787,790,803,814,822,824,836,842,856,864,869,882,886,897,901,910,918,926,935,945,955,964,974,984,989,997,1010,1013,1022,1029,1039,1047,1054,1063,1078,1080,1094,1099,1111,1116,1129,1137,1145,1149,1160,1166,1176	0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0
7,13,25,26,35,44,56,62,70,84,92,101,110,117,121,130,143,147,158,168,174,318,320,327,336,345,356,368,377,382,390,397,406,418,424,433,440,600,606,610,625,630,638,646,654,665,672,681,689,698,703,719,725,735,739,754,762,767,779,782,791,799,812,822,824,839,841,849,858,868,876,886,897,904,913,923,928,939,950,957,967,976,984,988,1000,1005,1014,1026,1028,1040,1046,1060,1062,1077,1082,1094,1099,1108,1117,1129,1133,1142,1154,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,20,32,40,47,58,62,73,79,92,100,108,113,123,131,137,146,157,165,174,313,325,326,337,349,355,362,374,381,386,402,408,414,421,434,441,457,609,612,625,630,636,643,654,661,675,683,688,695,708,719,725,737,739,746,756,770,779,781,789,798,811,819,831,836,841,851,858,867,876,884,891,904,910,918,933,935,943,958,967,975,979,992,996,1010,1017,1022,1030,1039,1052,1055,1068,1073,1085,1089,1096,1111,1118,1126,1131,1143,1154,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,30,34,45,51,64,69,80,93,98,109,111,123,130,138,149,159,164,176,315,322,332,342,349,354,366,376,378,390,396,407,412,426,435,444,599,604,611,626,628,641,648,659,667,673,683,689,696,704,716,725,730,742,749,758,764,778,787,795,805,813,814,828,831,840,855,858,873,881,885,898,902,911,921,927,936,945,957,963,970,979,991,997,1006,1012,1024,1034,1041,1051,1059,1068,1075,1087,1091,1099,1105,1119,1127,1134,1142,1152,1162,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,29,35,47,51,65,68,84,90,99,107,114,127,129,138,152,158,168,177,317,320,329,341,348,357,365,372,386,394,402,411,417,428,437,441,460,606,610,623,631,641,651,657,665,674,681,690,697,711,716,726,735,740,749,756,771,776,785,790,804,808,818,826,832,843,854,859,869,882,888,893,902,909,922,931,937,946,953,965,968,982,986,1001,1005,1018,1021,1032,1036,1050,1060,1067,1072,1080,1087,1097,1109,1121,1123,1138,1143,1148,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,27,36,44,58,64,68,84,88,94,106,112,125,128,143,148,159,162,171,186,321,335,338,346,357,365,374,379,386,402,403,415,428,430,440,597,603,610,624,628,635,644,660,665,671,686,693,695,703,716,722,731,744,750,757,763,772,783,793,801,810,814,824,838,848,851,865,868,877,886,892,903,915,921,925,934,945,957,964,970,977,991,997,1009,1013,1026,1028,1042,1046,1058,1068,1071,1083,1088,1104,1106,1120,1122,1131,1142,1151,1157,1166	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,9,23,32,37,48,53,65,73,83,91,94,105,113,120,134,144,153,155,165,173,314,318,334,343,351,353,368,377,382,391,395,405,418,427,436,442,455,608,614,623,630,642,643,653,664,671,684,693,698,706,714,725,734,740,746,758,764,773,781,790,805,812,817,829,836,847,854,858,865,875,884,892,902,914,925,929,938,944,953,962,975,977,986,1000,1002,1018,1023,1031,1044,1045,1059,1064,1075,1080,1094,1101,1111,1120,1128,1134,1142,1152,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,31,38,50,56,60,73,84,91,102,106,116,125,133,144,150,154,170,173,316,326,328,336,348,360,366,371,384,391,399,409,416,424,435,440,596,608,616,618,631,637,644,660,661,676,682,691,698,707,714,726,735,744,752,758,767,774,783,794,801,810,819,827,839,843,849,859,874,875,889,898,903,913,920,925,942,948,953,960,975,978,992,996,1004,1019,1026,1028,1037,1050,1061,1064,1074,1084,1090,1097,1106,1116,1125,1130,1139,1148,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,34,41,49,58,67,68,83,85,99,107,111,127,129,140,151,157,166,171,316,320,332,339,347,359,366,377,384,391,402,405,415,429,434,444,600,601,613,625,628,639,645,653,668,676,684,687,701,705,718,723,732,742,753,756,771,779,784,797,799,810,818,828,836,846,850,862,872,876,884,897,900,913,921,925,937,950,957,963,970,983,992,994,1009,1016,1026,1028,1038,1050,1056,1068,1071,1084,1093,1104,1106,1120,1123,1136,1147,1154,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,31,38,47,55,67,75,81,87,96,105,113,123,130,143,151,157,163,173,315,323,334,341,348,355,363,370,384,388,398,411,412,422,435,439,598,601,616,622,634,642,644,658,660,676,683,687,702,704,714,727,730,745,751,757,764,778,781,794,803,809,819,829,832,844,849,862,866,875,889,898,904,909,916,931,935,945,951,960,976,979,987,994,1004,1016,1026,1030,1040,1048,1057,1065,1071,1084,1093,1101,1108,1121,1126,1133,1141,1151,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,33,40,44,52,61,70,84,89,98,102,117,124,132,141,151,161,164,174,316,325,331,338,351,355,365,371,381,388,400,410,412,421,435,441,598,604,615,619,627,637,649,659,665,673,681,686,696,710,713,725,729,742,752,761,767,775,787,793,804,808,817,826,833,846,850,859,873,875,887,899,904,913,921,932,941,947,954,965,972,979,991,998,1004,1017,1021,1034,1043,1051,1053,1062,1070,1085,1091,1101,1106,1120,1127,1137,1142,1151,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,31,40,48,51,63,74,82,91,99,103,112,123,129,144,147,159,167,171,313,319,332,335,346,358,363,371,382,392,403,410,417,422,437,440,598,607,615,621,632,635,650,653,665,671,683,688,703,710,719,724,730,739,750,758,763,773,785,789,802,810,822,827,837,845,851,859,874,880,891,896,905,909,916,930,937,946,953,964,974,978,988,996,1009,1013,1021,1029,1040,1050,1057,1067,1076,1085,1091,1103,1109,1118,1130,1132,1140,1152,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,26,35,45,57,60,70,81,92,102,110,113,122,128,143,151,159,162,172,316,318,332,340,349,358,369,377,384,389,397,408,419,420,434,442,469,606,611,621,627,639,646,652,661,669,685,688,697,705,717,721,733,740,751,757,766,771,787,791,804,811,820,829,835,843,853,857,866,876,883,894,900,915,922,929,940,950,953,963,974,982,992,996,1003,1012,1021,1033,1041,1047,1054,1064,1076,1083,1094,1100,1110,1120,1126,1138,1144,1151,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,19,29,40,45,55,60,76,77,93,99,106,112,121,131,144,150,157,168,171,313,322,327,336,344,357,369,375,385,391,402,409,417,422,435,445,597,608,614,625,629,639,645,657,666,669,681,691,696,711,716,727,731,741,750,760,769,775,780,789,803,809,818,824,836,841,849,860,866,876,885,896,902,910,923,930,935,947,954,962,974,983,989,997,1009,1017,1023,1029,1040,1053,1061,1065,1078,1086,1089,1103,1111,1118,1127,1138,1146,1148,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,29,40,49,55,67,72,77,93,95,106,113,122,133,142,147,154,170,178,313,319,335,341,344,357,368,373,382,391,399,410,412,429,431,437,600,608,610,624,630,636,651,654,667,676,683,693,695,705,713,720,733,742,751,761,769,776,787,794,798,810,815,823,838,847,856,860,872,881,885,893,908,910,920,927,941,950,953,967,972,982,992,995,1002,1014,1027,1028,1041,1045,1055,1070,1071,1080,1090,1101,1111,1121,1130,1137,1142,1152,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,26,36,50,53,61,71,83,85,97,102,118,124,132,144,145,157,166,176,315,319,327,336,348,355,363,377,386,387,402,406,418,425,432,440,600,608,610,621,630,639,646,654,664,676,678,687,695,711,714,725,729,740,747,758,766,773,784,796,804,814,817,828,837,843,852,859,869,881,885,899,904,909,924,927,939,948,951,965,969,982,990,1001,1003,1013,1023,1028,1039,1045,1053,1065,1077,1079,1091,1103,1107,1114,1124,1133,1139,1150,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,20,26,34,48,57,61,68,78,89,96,107,119,128,129,140,145,154,165,178,314,326,330,336,345,356,369,374,378,389,396,406,414,426,434,446,452,606,614,625,629,640,645,654,663,675,684,694,699,710,720,724,736,741,753,756,767,773,786,790,803,811,817,830,835,841,852,860,871,879,889,894,900,909,923,932,940,943,958,965,975,981,988,1000,1002,1013,1025,1033,1044,1052,1060,1067,1076,1081,1090,1101,1107,1113,1126,1134,1143,1153,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,31,41,46,57,65,75,82,90,94,103,119,124,130,139,151,155,163,174,316,319,329,343,344,358,364,377,382,389,402,408,413,427,435,444,456,604,614,623,633,636,650,655,666,675,682,687,695,708,712,725,735,738,749,757,768,773,784,794,802,813,816,827,837,844,856,862,870,882,886,896,906,913,921,932,937,945,955,963,975,979,988,999,1008,1018,1021,1031,1037,1045,1060,1063,1071,1079,1090,1101,1110,1114,1126,1135,1140,1154,1163,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,33,39,42,53,63,70,81,92,99,102,119,125,131,141,150,158,168,176,205,325,327,341,350,356,366,372,382,391,401,411,414,429,435,446,596,606,615,622,629,638,651,659,663,674,684,690,703,710,715,722,731,744,750,760,771,775,783,797,804,807,821,830,835,842,855,861,869,875,891,897,903,914,923,931,934,945,959,961,972,984,985,998,1003,1015,1027,1030,1042,1049,1059,1067,1073,1081,1093,1097,1111,1113,1121,1134,1143,1147,1163,1167,1178	1,0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
2,10,23,28,40,47,57,67,73,81,86,101,107,119,122,131,142,147,161,169,177,189,318,334,342,349,359,368,371,383,391,402,411,416,427,437,442,597,607,612,619,632,637,643,656,664,674,681,688,697,704,715,725,729,745,751,760,763,777,787,791,801,809,821,830,839,842,854,864,869,882,890,897,908,909,919,926,939,946,958,960,976,980,991,996,1003,1018,1019,1032,1038,1052,1060,1066,1076,1085,1095,1100,1113,1121,1122,1131,1139,1155,1159,1171,1173	1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,20,33,35,48,56,62,75,78,93,96,110,112,126,129,138,151,160,169,176,183,325,331,342,350,360,362,376,380,392,401,412,416,424,435,442,600,608,611,626,628,637,650,659,667,675,685,689,701,703,714,728,737,746,749,758,767,777,786,792,802,806,815,825,835,841,856,862,873,880,887,899,903,916,922,930,940,946,953,959,972,979,986,999,1002,1014,1025,1030,1042,1050,1059,1068,1073,1081,1091,1096,1112,1120,1122,1130,1139,1148,1161,1172,1178	0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,9,21,28,38,49,56,63,75,81,87,102,106,114,127,133,144,149,154,163,177,185,325,330,342,347,355,362,370,380,393,398,409,420,422,436,443,451,604,609,620,634,638,646,654,666,676,685,690,697,711,712,724,736,739,747,757,770,772,785,794,797,814,816,829,833,841,849,862,868,880,889,894,904,915,918,927,938,945,958,963,972,983,990,996,1002,1011,1020,1032,1042,1047,1061,1062,1071,1083,1093,1100,1106,1117,1130,1136,1139,1150,1160,1166,1178	0,0,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,22,33,41,44,55,63,73,79,88,95,106,115,121,135,136,148,154,170,171,186,321,334,343,345,353,367,377,380,386,398,406,419,424,431,444,600,601,612,619,633,643,651,657,668,676,684,690,696,708,713,722,734,744,749,754,765,773,780,792,799,809,815,826,837,841,848,864,873,879,885,898,904,915,922,925,935,945,955,961,974,979,990,1001,1007,1015,1020,1032,1039,1049,1061,1067,1073,1079,1087,1104,1108,1114,1128,1131,1140,1152,1163,1164,1174	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,10,18,27,39,47,52,61,70,83,93,97,105,119,121,133,140,149,158,162,178,179,318,328,341,344,358,363,375,378,389,396,408,415,428,434,438,465,607,612,622,631,637,644,652,665,676,677,693,699,705,717,725,733,745,747,762,770,778,783,793,799,807,814,827,837,846,854,859,872,880,883,899,903,910,924,929,938,945,951,960,971,979,988,996,1006,1018,1026,1032,1036,1049,1060,1068,1078,1081,1093,1101,1107,1121,1126,1132,1144,1149,1158,1168	1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
4,11,17,28,39,46,58,60,72,79,90,99,110,116,127,133,140,145,159,162,178,188,318,330,342,348,353,365,377,381,392,400,409,419,420,434,442,596,604,617,626,633,642,648,659,668,673,682,691,699,711,716,722,729,744,754,756,764,778,783,796,800,813,819,826,837,845,850,859,871,874,885,893,903,915,917,927,939,944,956,962,968,982,992,994,1010,1011,1021,1029,1038,1045,1058,1070,1071,1085,1088,1100,1106,1121,1128,1133,1144,1150,1156,1170,1176	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
6,11,20,27,36,47,55,64,72,78,90,99,106,112,121,128,138,152,156,169,178,180,324,335,343,351,353,362,374,385,392,399,409,413,424,433,438,470,605,614,624,633,635,651,652,661,671,679,688,696,707,719,722,730,744,750,760,769,778,783,796,803,811,817,830,838,840,851,865,872,878,886,893,906,910,922,926,935,944,952,966,975,981,990,1001,1008,1014,1024,1028,1041,1052,1060,1062,1074,1079,1095,1099,1104,1117,1129,1136,1139,1149,1161,1165	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,11,23,30,39,45,57,66,72,84,92,95,110,116,127,134,144,146,161,170,176,315,323,332,335,350,353,365,370,383,390,403,405,418,424,435,439,598,608,614,622,630,638,644,658,661,672,681,693,695,704,715,726,733,745,748,755,770,772,780,794,801,807,817,826,834,846,856,864,867,878,885,896,904,911,924,929,941,946,952,965,971,979,985,1000,1008,1013,1023,1027,1039,1048,1053,1063,1079,1080,1087,1101,1112,1117,1122,1137,1139,1149,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,22,27,36,43,59,66,73,82,93,95,109,118,124,135,138,149,156,170,178,201,321,332,341,347,353,367,373,385,389,403,407,412,427,430,441,597,601,616,625,627,635,650,656,665,676,679,687,699,705,713,728,732,740,751,757,763,773,787,796,801,808,822,824,839,846,852,863,865,878,885,893,906,915,917,927,937,947,952,961,969,978,986,999,1008,1016,1020,1030,1040,1050,1055,1065,1076,1087,1092,1100,1109,1116,1128,1134,1139,1151,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,20,32,40,45,58,61,71,79,91,95,110,117,122,129,141,146,157,164,174,179,319,329,336,350,359,366,371,381,391,403,409,415,421,437,439,598,602,613,624,630,640,650,656,664,675,683,693,701,707,720,723,735,738,748,755,766,779,782,795,799,813,822,828,832,842,848,860,867,882,889,899,900,913,924,928,939,942,951,960,970,977,993,996,1002,1012,1022,1034,1038,1052,1057,1065,1079,1085,1091,1097,1108,1115,1128,1131,1144,1151,1156,1171,1178	1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,16,17,31,36,48,59,67,74,84,86,96,109,111,126,134,140,146,161,169,174,182,318,328,341,344,356,362,377,385,393,397,406,418,428,430,443,460,605,611,624,630,639,647,658,661,672,686,689,702,706,716,724,732,738,751,754,764,778,786,791,804,813,819,829,831,843,853,857,866,874,888,892,904,910,921,933,936,947,952,960,972,978,986,1001,1002,1011,1023,1031,1041,1047,1054,1068,1073,1080,1091,1098,1108,1113,1123,1137,1144,1148,1163,1166	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,24,34,38,46,58,60,68,82,87,100,106,119,126,130,136,147,156,170,175,180,320,331,342,350,356,368,374,378,389,398,406,412,421,430,443,597,604,610,623,628,640,645,658,669,670,678,693,699,708,714,728,735,744,747,761,770,778,785,793,799,813,815,830,836,844,850,864,867,879,889,897,907,916,919,932,941,949,953,959,972,982,991,997,1005,1019,1023,1033,1043,1052,1058,1065,1073,1087,1091,1096,1109,1119,1124,1137,1143,1152,1159,1173,1176	0,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,9,23,33,34,47,59,61,70,84,91,100,106,114,123,129,142,145,161,169,178,183,325,327,335,351,358,361,371,384,389,398,405,417,428,437,445,599,606,614,622,630,635,648,655,666,677,683,688,696,704,718,725,730,745,748,759,769,778,780,789,800,811,815,831,835,843,849,857,867,881,888,899,901,914,920,928,935,950,956,967,968,979,989,1000,1008,1011,1020,1034,1044,1047,1054,1067,1076,1087,1090,1102,1111,1117,1126,1134,1139,1149,1160,1170,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
4,8,24,26,40,44,55,63,69,82,89,101,106,116,125,130,140,152,158,165,172,186,325,330,342,344,359,362,371,378,393,403,410,419,422,430,439,600,602,613,619,627,642,645,659,666,675,683,690,703,707,717,728,736,745,752,755,764,772,785,791,804,813,819,828,833,842,848,861,870,875,882,891,904,911,922,926,937,943,951,963,970,982,987,1002,1007,1011,1022,1033,1039,1045,1060,1064,1071,1084,1090,1103,1111,1115,1124,1134,1146,1155,1163,1167,1178	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,23,32,40,47,56,63,68,81,86,98,104,118,124,129,139,145,153,162,176,313,318,329,340,346,354,363,373,382,387,397,409,415,429,432,440,598,606,611,619,634,641,651,655,664,669,679,688,700,705,717,728,736,737,750,759,770,773,787,791,802,812,820,825,838,846,849,859,867,877,883,893,901,912,920,932,936,943,952,959,971,983,985,997,1003,1018,1019,1034,1041,1049,1056,1065,1076,1087,1093,1101,1107,1117,1122,1136,1144,1149,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,30,38,43,57,60,74,80,87,96,110,116,123,133,144,146,158,168,174,316,324,327,335,347,357,365,376,385,392,401,405,417,422,435,442,461,603,616,625,629,642,647,652,666,671,684,691,698,710,720,724,732,744,748,761,766,773,786,792,798,811,814,830,838,847,848,864,868,875,884,897,902,909,924,931,940,947,959,962,968,980,989,995,1007,1014,1020,1028,1042,1049,1061,1069,1078,1084,1090,1099,1113,1121,1123,1136,1145,1151,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,26,41,48,57,61,76,78,92,101,106,112,125,135,136,153,156,163,175,317,323,330,339,347,357,362,371,378,388,401,404,414,426,435,445,597,603,615,624,633,640,651,653,667,670,682,694,700,709,712,724,729,741,754,756,765,776,786,793,805,806,817,827,836,848,853,859,868,878,884,893,905,908,919,933,935,948,955,961,973,983,990,995,1006,1012,1020,1034,1038,1051,1058,1065,1072,1081,1091,1104,1110,1117,1126,1135,1145,1154,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,32,42,47,51,62,70,79,89,96,105,111,125,133,143,151,159,164,175,314,325,327,339,350,359,362,375,383,390,399,409,414,425,434,444,468,602,612,623,634,636,648,652,663,672,682,690,694,710,718,727,737,743,749,757,767,779,782,791,801,808,819,823,837,845,851,861,872,877,888,895,906,915,923,931,940,942,958,966,973,977,993,1001,1004,1015,1025,1029,1044,1047,1062,1068,1075,1084,1092,1101,1111,1116,1130,1134,1142,1150,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,33,35,49,53,66,69,81,86,97,105,118,123,135,143,152,154,168,175,315,323,331,343,351,359,363,376,381,392,401,410,412,423,432,445,596,608,614,618,627,639,645,655,663,671,679,692,700,711,714,727,732,741,748,762,764,777,781,794,800,808,817,825,834,843,850,857,866,882,887,891,901,913,920,928,936,946,954,962,971,978,987,997,1005,1014,1026,1030,1040,1051,1055,1066,1074,1087,1091,1097,1107,1114,1128,1135,1142,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,33,36,43,57,62,68,79,87,102,108,112,121,129,143,147,153,170,176,316,326,330,342,344,356,367,373,378,391,400,407,420,426,436,441,449,602,609,623,634,635,650,654,665,676,679,689,699,704,712,721,733,744,748,757,769,775,788,793,801,811,820,826,835,842,849,864,871,874,887,894,907,911,922,931,934,950,955,963,968,979,991,998,1004,1016,1021,1033,1039,1051,1057,1062,1072,1080,1088,1100,1106,1114,1127,1131,1139,1153,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,25,37,49,54,66,70,81,92,94,105,113,122,130,143,149,160,168,177,313,326,328,342,349,357,363,375,381,390,401,406,416,428,433,441,596,603,611,624,632,643,649,653,664,677,685,692,695,707,717,723,730,741,748,756,766,776,784,790,799,806,815,823,835,843,851,865,871,882,883,897,905,911,923,929,941,950,953,967,972,978,988,999,1004,1015,1021,1033,1042,1053,1058,1070,1076,1083,1092,1102,1105,1118,1123,1133,1140,1148,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,26,39,44,58,61,71,84,90,100,110,117,127,134,139,148,162,167,174,314,324,335,338,350,356,369,375,379,391,397,406,419,423,431,443,598,602,617,621,630,636,643,657,661,673,679,693,700,706,720,727,734,742,747,755,769,779,782,794,797,806,819,831,832,840,854,857,869,879,887,897,906,910,920,930,935,942,952,965,975,985,991,996,1008,1011,1026,1032,1038,1045,1059,1062,1073,1082,1093,1096,1111,1119,1126,1135,1144,1148,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,25,31,34,48,56,60,74,79,89,96,107,117,122,136,140,145,161,170,173,187,323,330,339,350,357,365,373,379,395,400,404,415,427,437,439,600,602,611,620,633,638,651,656,663,671,682,688,700,704,716,727,734,740,746,761,768,779,781,790,800,809,822,829,838,846,852,859,872,878,889,899,907,913,921,929,935,949,954,968,974,982,988,1000,1004,1013,1027,1032,1037,1049,1053,1063,1072,1083,1095,1104,1105,1116,1129,1131,1145,1149,1159,1168,1177	0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,12,25,31,38,43,59,60,74,81,86,101,102,113,122,130,143,152,157,165,170,317,323,328,341,350,358,361,372,378,389,400,410,412,422,435,437,461,605,612,619,630,640,645,660,665,674,684,688,699,705,715,725,732,742,746,755,771,772,787,790,798,807,819,826,834,842,854,861,873,875,887,892,907,908,920,929,941,947,951,961,972,978,989,998,1004,1017,1022,1032,1038,1047,1059,1065,1073,1084,1095,1100,1111,1117,1125,1137,1141,1154,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,28,38,49,55,64,70,78,85,96,108,116,121,136,142,145,158,166,175,313,319,327,343,352,356,363,375,379,394,400,410,412,425,434,444,598,604,617,624,627,635,648,655,664,672,680,688,702,708,713,726,733,745,747,761,767,775,785,792,804,811,819,825,833,841,850,863,873,878,888,898,906,914,924,926,940,947,953,962,968,976,992,997,1007,1013,1022,1030,1037,1051,1058,1064,1077,1086,1094,1104,1112,1121,1125,1131,1140,1154,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,30,41,47,59,61,70,82,85,102,107,111,124,129,138,150,158,167,175,316,323,332,336,351,357,364,377,379,391,398,412,414,426,429,444,462,602,616,621,628,636,649,656,668,669,683,690,695,706,715,723,729,741,749,762,768,777,787,793,797,810,820,827,832,846,855,858,869,880,890,899,906,915,923,930,934,945,951,961,968,979,986,1000,1002,1015,1022,1029,1038,1045,1058,1069,1077,1086,1088,1101,1110,1116,1125,1131,1142,1150,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,31,36,51,54,64,73,78,86,99,102,115,120,128,142,150,153,168,175,314,322,328,339,349,357,362,372,380,393,402,407,414,422,433,442,468,608,615,622,630,641,646,658,660,671,680,688,699,705,715,723,731,743,746,762,770,771,787,791,801,808,819,830,831,842,851,858,871,881,885,893,906,912,921,928,939,949,956,968,970,977,989,1001,1010,1016,1021,1031,1042,1051,1059,1066,1077,1083,1091,1100,1106,1121,1126,1133,1145,1149,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,31,41,47,56,61,74,84,93,96,110,117,127,134,143,151,155,168,174,184,319,334,343,347,354,366,375,386,391,399,404,414,424,430,442,450,603,616,621,630,643,648,658,665,675,680,687,699,707,716,728,735,738,753,763,766,779,781,792,803,814,822,824,833,845,852,860,869,881,884,899,903,909,921,932,940,943,957,965,975,980,993,996,1010,1013,1021,1033,1041,1048,1053,1065,1078,1080,1093,1098,1109,1116,1127,1131,1141,1154,1156,1172	0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,22,26,40,44,56,64,74,76,92,101,106,115,127,129,143,152,157,169,176,316,321,334,341,347,359,367,371,384,391,401,411,420,426,434,441,600,608,616,622,628,639,649,654,667,676,679,693,696,707,715,723,729,741,747,762,768,777,788,795,799,811,817,825,834,842,854,859,868,879,887,899,907,913,922,930,940,950,954,962,968,984,986,999,1005,1018,1024,1031,1044,1045,1054,1067,1075,1082,1089,1101,1108,1113,1127,1134,1142,1152,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,30,37,45,55,61,73,85,91,100,104,113,121,136,139,152,159,163,172,315,325,330,335,348,357,362,372,384,391,396,408,412,421,429,438,463,601,616,619,633,643,646,658,661,673,679,694,696,705,718,721,735,745,747,762,768,778,780,789,800,809,815,825,837,846,850,859,870,881,890,893,903,914,922,929,942,948,952,967,974,984,985,995,1004,1016,1025,1035,1041,1049,1055,1065,1072,1086,1091,1102,1109,1118,1127,1131,1142,1153,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,27,42,50,57,68,72,79,93,101,106,113,128,133,140,149,155,170,172,314,324,334,341,350,353,361,375,379,388,397,405,414,422,432,444,453,603,612,622,631,637,650,653,663,671,685,690,698,706,712,726,736,739,751,754,767,773,785,795,805,813,821,826,834,845,851,858,866,881,890,895,902,914,918,933,939,949,957,967,976,977,987,998,1006,1017,1025,1032,1040,1050,1059,1066,1075,1079,1087,1096,1106,1113,1125,1135,1143,1151,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,28,38,43,57,60,72,79,87,95,103,113,123,132,141,146,160,167,172,313,322,334,339,351,353,361,377,381,391,399,411,417,428,434,444,470,602,616,620,631,636,651,657,661,673,681,689,696,707,716,728,735,743,747,759,763,778,785,791,799,807,819,830,835,840,851,860,871,881,885,893,905,911,920,930,940,944,957,964,968,977,989,993,1004,1011,1027,1028,1043,1045,1061,1070,1076,1081,1089,1097,1109,1121,1128,1131,1145,1150,1159,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,25,35,46,56,67,70,84,88,96,106,116,126,135,144,149,159,166,175,315,319,328,338,345,356,366,377,385,389,402,406,415,426,434,442,597,605,615,618,628,635,645,653,663,674,680,687,702,704,719,722,734,740,748,761,764,775,788,793,797,808,821,827,831,844,856,860,867,882,887,896,905,908,924,931,939,944,957,962,970,980,993,995,1003,1014,1021,1033,1036,1047,1054,1070,1071,1087,1089,1096,1104,1117,1124,1136,1141,1150,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,26,40,47,53,63,74,77,93,97,107,115,121,129,144,146,155,166,178,316,326,331,335,349,355,366,369,379,393,402,405,412,429,434,445,458,607,616,622,627,639,648,656,666,672,679,691,696,707,718,721,733,742,748,755,766,772,785,790,804,808,818,829,836,842,850,857,866,882,887,898,900,910,917,932,941,949,953,966,969,979,989,999,1002,1012,1026,1030,1043,1045,1060,1063,1075,1083,1091,1104,1108,1121,1129,1130,1143,1150,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,29,36,48,51,60,75,83,87,99,103,118,121,135,139,152,156,164,179,313,326,327,337,345,353,364,376,381,390,400,411,413,422,433,439,597,607,612,626,630,639,647,652,662,675,680,688,695,706,712,723,732,742,747,754,768,778,785,791,799,809,818,831,838,841,853,860,869,882,888,893,905,910,920,933,935,943,956,964,970,981,986,995,1004,1011,1026,1028,1037,1049,1055,1068,1075,1079,1089,1098,1111,1113,1127,1130,1146,1151,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,29,37,43,59,62,71,83,88,100,106,111,120,135,140,151,156,169,175,317,325,330,340,344,360,361,371,383,391,400,411,414,429,433,444,469,605,617,625,629,639,651,657,661,670,686,692,703,707,715,729,732,738,750,758,763,777,783,790,803,810,820,823,831,847,850,865,869,878,890,897,906,911,917,933,940,945,958,964,970,984,987,995,1007,1012,1020,1033,1039,1046,1059,1066,1073,1083,1088,1104,1105,1121,1125,1132,1144,1150,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,26,41,50,59,64,68,81,91,95,108,112,121,132,139,146,157,169,174,317,323,331,337,347,353,362,376,385,392,402,409,417,426,434,437,598,606,610,624,627,637,650,656,664,669,684,694,696,707,717,720,733,741,748,760,767,773,781,790,804,810,817,830,831,841,852,858,871,876,888,899,901,911,920,930,934,946,959,964,973,979,987,1000,1009,1013,1021,1036,1039,1048,1056,1062,1077,1084,1089,1104,1112,1117,1122,1138,1143,1151,1161,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,34,40,49,58,63,75,82,90,97,106,116,124,133,138,152,159,164,175,317,319,330,338,351,356,365,371,386,389,396,405,417,428,434,445,598,604,609,622,631,642,646,652,661,677,680,691,701,704,718,725,731,740,754,755,764,779,780,791,800,811,815,831,834,844,850,858,869,877,885,897,905,915,917,929,940,944,954,968,971,983,985,998,1006,1011,1022,1034,1039,1051,1061,1063,1070,1080,1091,1098,1111,1118,1121,1130,1139,1154,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,28,39,45,58,66,75,84,88,96,107,111,126,129,139,151,157,163,176,315,322,330,343,344,353,366,371,386,388,402,408,415,428,436,445,599,604,610,625,631,638,649,654,663,674,685,688,696,704,717,724,729,742,747,756,764,774,786,794,800,808,821,823,838,846,849,857,866,880,890,897,899,913,917,929,937,945,957,960,976,983,993,998,1006,1012,1026,1028,1037,1047,1057,1065,1072,1079,1092,1099,1111,1116,1128,1135,1146,1149,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,28,42,49,51,66,74,80,85,95,102,112,121,128,138,153,160,169,172,316,319,335,339,348,357,367,374,380,387,396,411,419,421,432,439,459,606,612,625,631,637,645,656,663,673,685,693,698,703,718,724,731,744,752,759,763,774,785,789,798,809,821,828,839,844,856,862,870,877,883,899,900,909,922,925,939,949,955,964,972,978,989,1001,1006,1013,1027,1033,1042,1052,1057,1067,1072,1079,1090,1097,1108,1121,1127,1138,1141,1149,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,28,34,44,56,63,70,80,87,102,110,116,126,130,137,145,161,170,174,182,325,330,335,350,353,368,369,384,389,399,406,419,426,431,440,598,601,610,623,634,641,650,652,665,672,681,687,696,710,713,721,731,738,751,757,765,779,781,792,800,812,816,831,837,847,856,864,869,875,885,893,903,915,921,931,938,946,958,964,975,982,992,1001,1003,1014,1024,1035,1041,1048,1060,1065,1072,1086,1090,1099,1106,1113,1129,1130,1142,1152,1158,1168	1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,23,27,37,49,52,64,76,81,91,93,110,115,125,134,141,148,158,168,178,180,325,334,343,344,355,364,376,378,394,397,404,415,421,431,441,459,601,612,620,627,640,649,657,668,676,681,691,702,710,712,727,729,738,747,762,769,771,781,795,801,810,821,830,835,847,855,860,867,881,884,893,903,914,923,928,938,947,953,967,973,983,989,998,1006,1012,1024,1030,1038,1047,1058,1067,1071,1084,1095,1096,1113,1117,1122,1136,1142,1151,1162,1170,1177	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,23,28,36,45,59,60,71,78,89,97,103,118,124,132,140,151,155,168,172,183,320,326,336,344,357,362,371,382,393,397,409,420,426,430,441,600,603,617,621,630,641,646,659,664,670,685,692,696,708,712,721,733,742,753,757,765,775,780,795,802,806,815,828,838,848,849,860,872,882,890,899,901,908,925,928,938,946,953,962,974,981,985,1000,1004,1011,1023,1032,1044,1046,1061,1066,1074,1080,1088,1097,1111,1114,1125,1136,1145,1153,1159,1167,1178	1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,9,19,32,38,51,55,63,70,82,88,97,108,117,124,135,137,150,160,168,174,192,322,329,339,346,353,367,372,383,387,401,404,417,426,430,444,597,603,616,625,632,636,648,658,661,676,684,688,702,703,715,728,729,744,751,763,770,774,785,789,802,811,814,829,836,843,853,864,871,879,884,897,901,912,919,927,938,944,959,967,976,980,990,995,1004,1015,1025,1029,1042,1050,1061,1067,1073,1082,1093,1103,1108,1115,1126,1133,1140,1147,1160,1172,1175	1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,25,26,41,44,55,63,75,81,93,96,107,118,120,133,139,148,157,164,173,195,326,327,336,350,356,365,377,378,389,399,410,414,426,434,440,450,601,614,623,632,641,648,654,669,670,681,692,697,711,712,727,733,743,753,761,768,773,784,797,802,809,821,830,835,840,855,862,869,876,889,895,902,911,917,927,937,947,955,961,976,979,992,1001,1004,1014,1026,1030,1042,1049,1055,1064,1072,1081,1090,1096,1106,1116,1126,1132,1144,1150,1164,1167,1178	1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,20,27,35,44,56,66,74,76,90,97,104,118,126,132,142,148,161,162,172,187,323,330,342,347,355,365,372,379,393,400,405,419,425,435,439,452,608,612,621,627,642,650,660,667,670,684,692,700,711,717,724,729,742,747,757,766,774,784,789,797,810,817,826,833,843,852,860,872,878,889,891,902,908,923,932,936,948,952,960,972,983,991,1000,1009,1013,1026,1031,1044,1051,1061,1068,1074,1085,1094,1101,1104,1117,1126,1134,1141,1151,1156,1171	1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,10,21,29,37,43,56,60,72,79,91,96,106,114,128,131,140,153,157,169,173,181,325,328,340,349,355,369,376,383,392,401,406,412,427,433,445,599,601,615,624,632,635,650,653,665,670,685,687,694,711,714,724,730,745,753,759,770,772,783,788,800,813,816,825,836,846,850,864,870,878,888,891,901,909,924,931,934,946,957,965,970,978,989,999,1003,1016,1021,1033,1041,1052,1056,1064,1076,1079,1092,1102,1112,1120,1124,1137,1146,1148,1156,1168	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,17,29,40,49,56,62,72,83,92,99,104,115,122,134,140,151,153,165,174,180,319,330,335,350,358,366,374,378,387,398,404,416,429,436,446,597,604,616,620,633,641,647,652,668,672,684,688,699,711,712,725,732,743,751,760,763,774,782,794,799,810,817,829,835,843,848,862,866,882,884,898,905,914,917,928,938,944,958,963,973,982,990,1001,1009,1014,1019,1028,1044,1049,1058,1064,1073,1081,1092,1100,1112,1117,1126,1130,1146,1151,1157,1167,1174	0,1,1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,22,26,36,46,57,63,74,85,88,98,108,119,122,133,141,150,162,165,173,315,319,327,340,349,352,361,376,383,386,397,409,413,422,435,440,468,601,610,619,633,637,644,652,665,670,682,691,700,707,716,726,730,740,747,755,768,777,786,795,801,809,818,824,839,840,849,858,870,880,888,893,902,912,917,932,941,947,959,965,972,979,991,995,1003,1010,1026,1027,1041,1052,1053,1062,1074,1081,1093,1104,1105,1115,1125,1134,1139,1150,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,20,30,36,50,56,59,69,78,93,98,103,116,122,135,138,148,162,163,174,184,320,335,343,346,360,362,374,383,390,398,405,418,425,435,438,596,601,614,622,626,641,646,654,667,673,681,689,702,707,714,726,736,738,749,763,771,773,782,791,799,806,815,823,836,841,850,861,868,880,884,891,906,909,917,930,941,945,953,965,968,982,987,994,1007,1014,1026,1033,1041,1045,1053,1062,1077,1080,1090,1098,1110,1118,1125,1134,1146,1151,1161,1172	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,23,27,36,46,53,68,70,84,92,97,104,113,124,131,140,146,159,165,172,182,322,329,336,352,357,361,369,382,392,395,407,417,427,434,442,598,601,613,622,630,636,649,660,662,670,680,690,696,711,713,721,731,737,754,760,770,778,786,796,801,811,818,827,833,845,849,864,872,874,883,893,906,915,923,932,936,942,958,966,973,983,985,999,1004,1013,1019,1034,1038,1050,1061,1067,1070,1085,1092,1098,1106,1114,1123,1132,1139,1150,1162,1168,1175	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,15,17,28,39,47,59,63,72,84,87,99,102,118,120,129,143,145,157,166,178,183,326,332,342,351,356,366,376,380,393,400,404,413,425,435,443,468,604,612,621,630,637,646,653,663,674,680,692,699,709,718,725,733,739,752,760,763,778,785,789,802,814,820,828,834,847,848,859,870,876,888,897,902,913,918,927,934,948,951,962,970,978,991,996,1008,1016,1027,1031,1041,1049,1060,1065,1078,1080,1096,1099,1109,1119,1127,1135,1139,1147,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,20,30,41,49,53,66,75,84,87,99,105,112,119,129,138,146,154,163,173,193,320,331,342,345,359,362,376,383,388,397,411,412,421,434,439,599,602,615,620,628,643,646,659,663,677,685,690,696,703,717,727,731,743,747,759,770,774,785,794,801,809,815,823,835,847,854,865,873,878,890,899,902,909,922,926,939,945,951,966,969,982,987,996,1004,1019,1022,1029,1043,1048,1060,1062,1071,1080,1091,1100,1109,1117,1123,1135,1139,1152,1161,1171,1174	1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,10,22,26,38,47,58,66,72,77,93,100,108,116,127,136,144,148,160,169,178,182,319,329,335,345,358,364,369,380,391,397,407,419,422,431,438,596,603,611,623,634,638,648,660,668,677,680,693,701,708,715,725,731,741,751,762,765,774,788,792,797,813,822,825,833,847,856,858,873,882,884,895,905,914,917,932,936,943,951,967,971,984,985,996,1005,1018,1025,1032,1037,1051,1058,1064,1076,1080,1093,1103,1108,1113,1122,1133,1142,1148,1158,1169,1173	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,18,30,35,50,55,63,70,82,86,94,109,114,127,128,138,145,158,167,178,185,324,333,339,347,354,362,371,386,389,398,408,413,424,432,441,597,606,611,624,627,638,645,658,661,677,686,688,699,710,718,723,731,738,749,756,770,772,780,796,800,813,816,830,832,847,856,857,871,876,888,897,904,915,917,932,941,944,958,966,971,980,986,995,1009,1013,1027,1028,1037,1047,1056,1063,1071,1084,1087,1098,1108,1115,1123,1130,1144,1155,1156,1166,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,15,22,27,34,45,56,65,76,80,89,95,103,115,122,131,138,150,162,163,178,315,322,332,335,349,359,366,377,386,389,397,407,415,427,434,442,600,604,612,622,632,641,647,660,662,672,678,687,697,709,719,720,731,745,750,756,770,773,782,794,800,808,820,827,837,841,856,861,869,880,890,897,900,916,923,931,936,945,955,961,970,977,989,1001,1002,1016,1023,1036,1042,1051,1056,1067,1077,1082,1089,1103,1113,1120,1127,1134,1144,1149,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,25,37,48,59,67,75,77,93,97,110,116,121,129,143,145,161,164,178,317,319,328,337,351,353,368,374,383,392,403,405,415,425,432,445,457,608,610,618,630,643,649,654,663,672,684,694,702,709,719,728,737,744,751,760,766,773,785,796,804,810,821,830,834,846,850,859,867,879,883,893,901,911,922,931,938,946,954,966,972,978,986,1000,1007,1018,1021,1030,1040,1051,1057,1066,1073,1086,1092,1102,1111,1115,1129,1134,1143,1153,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,28,36,50,52,67,74,78,93,101,105,114,122,131,141,150,160,163,177,314,326,334,341,352,355,367,373,383,389,398,404,418,427,433,438,596,601,614,619,627,636,649,660,661,672,682,687,700,706,717,728,729,738,748,759,766,773,783,796,803,813,820,825,838,846,852,859,868,879,889,893,906,914,917,926,937,946,952,962,968,977,988,997,1005,1014,1021,1035,1043,1048,1061,1062,1077,1080,1093,1098,1108,1114,1123,1135,1146,1153,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,33,35,46,56,64,72,82,90,98,106,115,123,130,138,150,156,168,172,314,323,333,341,352,358,368,369,379,394,400,408,420,427,431,440,449,605,616,620,634,636,649,656,665,672,683,687,695,710,713,720,734,744,753,763,765,779,782,793,798,806,821,829,834,846,851,863,866,874,885,898,899,910,917,929,938,945,958,961,973,979,988,995,1008,1014,1026,1030,1037,1047,1060,1063,1072,1082,1092,1097,1111,1116,1121,1137,1139,1151,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,19,32,36,44,53,63,68,79,92,95,107,111,124,128,145,152,155,162,177,314,321,331,342,351,354,365,374,382,388,398,404,419,423,430,444,455,604,612,618,633,636,652,654,665,671,684,690,697,710,714,726,730,738,752,758,763,771,785,788,802,807,821,826,838,841,855,865,871,882,884,892,902,911,922,930,935,943,954,961,976,983,993,999,1006,1014,1019,1030,1043,1050,1057,1065,1078,1083,1088,1100,1105,1116,1126,1134,1139,1153,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,31,38,43,55,62,71,83,87,102,108,118,119,135,140,151,157,169,170,315,322,328,336,349,356,364,375,384,389,395,411,412,426,434,446,451,606,610,623,631,637,649,657,668,673,679,694,696,709,718,724,732,741,747,757,769,775,783,791,805,809,821,827,838,848,853,861,867,875,883,899,903,909,922,926,934,943,955,962,975,984,987,997,1008,1014,1027,1029,1040,1046,1059,1063,1074,1080,1093,1103,1112,1120,1130,1132,1141,1152,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,23,28,35,47,52,62,74,83,86,95,103,111,124,136,138,149,158,169,171,314,319,331,338,350,358,366,372,382,391,397,407,418,424,433,445,471,604,614,623,631,638,647,654,664,676,684,688,695,707,719,723,735,743,752,759,770,776,788,796,802,814,819,830,834,846,853,864,872,880,889,896,907,915,920,931,936,946,956,967,975,982,990,999,1002,1015,1023,1030,1038,1045,1056,1068,1078,1085,1095,1104,1111,1115,1127,1137,1141,1153,1157,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,19,27,35,48,52,65,72,77,90,99,108,111,124,135,144,151,156,168,176,318,323,334,336,351,357,361,372,380,387,396,408,417,423,429,444,598,605,609,624,633,635,650,652,664,675,684,694,703,708,718,721,729,742,749,759,768,774,782,789,799,807,815,828,838,847,848,864,871,876,890,895,907,914,920,930,938,942,955,963,971,977,987,994,1010,1015,1025,1030,1042,1049,1058,1070,1074,1085,1089,1098,1109,1116,1125,1135,1139,1155,1157,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,19,27,40,49,53,67,76,81,88,99,104,111,124,134,136,151,156,168,178,181,324,334,342,347,354,362,373,381,390,402,411,416,425,431,446,448,605,611,625,633,640,650,659,663,675,678,687,701,709,719,726,735,743,751,760,768,779,788,793,805,813,815,829,839,841,849,858,869,876,888,898,905,916,924,932,935,943,952,965,973,979,985,999,1008,1018,1027,1033,1038,1052,1054,1064,1079,1086,1095,1096,1105,1114,1123,1132,1141,1155,1157,1164,1176	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
8,14,23,33,34,43,58,65,71,85,87,97,106,115,121,131,142,151,160,165,172,318,325,328,339,346,355,362,371,385,388,398,411,419,428,435,443,599,601,615,625,629,639,649,657,664,672,685,686,701,709,714,725,733,746,749,760,767,779,784,796,801,813,818,825,836,846,850,860,866,876,888,898,905,913,922,927,937,944,958,961,968,976,990,998,1007,1016,1027,1035,1041,1048,1056,1063,1078,1087,1095,1101,1106,1117,1126,1137,1146,1152,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,26,38,48,55,66,75,82,93,100,106,114,121,133,138,147,158,165,176,316,323,328,342,352,359,365,377,380,390,401,405,415,425,434,440,457,606,615,619,628,635,644,660,661,675,683,693,700,705,717,725,730,738,750,757,771,779,781,796,799,809,816,823,831,845,855,859,869,880,886,899,906,915,919,929,936,948,952,965,974,977,986,998,1009,1016,1025,1032,1042,1046,1056,1068,1077,1086,1088,1096,1109,1120,1126,1136,1141,1151,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,28,41,49,54,64,73,80,93,96,104,118,128,136,137,146,158,169,176,314,318,330,336,345,359,361,375,385,394,398,409,412,425,434,440,470,601,613,618,630,643,651,652,668,677,682,689,701,709,715,721,735,744,749,757,767,780,781,793,805,807,816,823,839,840,856,859,868,876,890,894,906,912,919,927,935,942,957,963,974,983,988,996,1010,1011,1023,1028,1043,1045,1060,1065,1071,1084,1092,1104,1107,1119,1124,1138,1142,1149,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,25,28,34,47,51,64,70,84,89,102,103,114,124,130,141,146,154,164,176,313,324,332,340,344,358,363,371,382,390,396,406,414,428,432,445,599,603,614,619,631,636,649,655,668,671,681,687,699,710,717,725,734,745,752,762,770,773,785,796,802,810,817,829,838,844,849,864,870,879,888,899,905,914,924,931,935,946,957,959,972,980,989,997,1010,1012,1023,1029,1037,1046,1056,1069,1077,1083,1095,1100,1106,1115,1124,1135,1145,1148,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,24,28,36,49,55,67,73,84,89,99,109,118,119,134,140,153,161,168,175,186,322,334,338,347,358,367,373,385,392,401,411,417,425,435,445,451,603,616,620,626,635,649,652,660,673,684,694,695,711,714,728,733,739,753,762,765,772,786,796,805,806,816,825,837,847,852,858,871,874,884,898,901,910,924,931,940,943,954,962,974,984,991,1001,1007,1017,1025,1030,1038,1049,1056,1062,1070,1083,1087,1103,1106,1118,1123,1138,1146,1155,1163,1169,1174	0,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,19,33,40,49,58,66,75,77,86,93,105,115,125,129,142,151,156,163,175,317,322,332,338,344,356,367,374,379,388,399,407,413,428,434,440,453,605,613,626,627,638,649,657,666,676,682,686,701,706,714,726,735,739,749,759,763,777,787,789,802,813,815,828,837,841,852,864,867,879,886,893,901,914,920,927,935,945,951,962,976,977,990,994,1010,1016,1021,1034,1040,1047,1055,1069,1074,1082,1092,1103,1107,1116,1124,1134,1140,1155,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,28,36,48,51,61,75,79,88,99,107,112,125,135,144,150,159,164,173,313,324,328,343,345,354,368,374,385,388,403,408,415,426,434,441,597,606,617,620,631,643,648,652,667,673,685,692,696,709,719,722,729,745,748,761,764,776,783,792,799,807,820,827,837,842,852,861,870,877,886,898,906,912,923,926,934,948,951,963,975,984,988,1001,1009,1017,1025,1030,1042,1049,1053,1065,1075,1082,1088,1099,1112,1120,1128,1134,1146,1150,1156,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,28,36,44,57,63,71,78,93,99,109,112,127,135,143,147,158,163,174,313,326,332,336,346,360,362,374,380,391,401,405,420,426,430,445,457,609,615,622,633,637,646,659,661,677,679,693,698,703,718,728,733,744,748,758,765,779,788,794,805,810,815,828,836,842,850,859,868,878,890,893,904,910,919,933,939,945,955,968,970,981,990,996,1002,1011,1022,1036,1037,1047,1058,1062,1078,1087,1092,1102,1110,1117,1128,1130,1144,1150,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,19,33,42,45,56,65,70,79,90,100,105,112,120,135,142,149,155,163,177,318,326,328,335,346,359,365,375,382,394,402,404,417,426,437,438,448,601,616,621,626,638,650,654,662,670,684,693,701,706,712,725,732,740,752,755,771,777,786,797,800,808,821,823,837,847,856,865,871,878,891,897,900,913,918,930,937,942,952,962,973,977,992,1000,1003,1017,1025,1028,1039,1047,1055,1070,1074,1080,1090,1103,1107,1120,1123,1131,1139,1151,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,28,34,49,51,65,69,81,87,100,105,116,123,134,137,152,154,163,177,317,324,332,341,349,360,366,377,385,387,403,411,414,426,430,442,598,602,617,620,634,635,650,654,667,672,684,686,697,703,713,726,734,740,751,761,771,776,787,796,800,806,817,825,838,840,851,862,869,880,883,895,906,912,924,931,937,945,958,960,973,984,993,1001,1008,1016,1019,1031,1036,1050,1056,1070,1073,1082,1089,1096,1108,1116,1127,1131,1141,1155,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,19,33,38,43,51,65,71,81,89,97,109,117,126,133,142,150,153,163,174,316,323,327,336,352,353,363,374,384,387,399,407,412,421,437,442,599,604,613,621,634,636,651,655,660,677,685,687,701,709,719,728,732,737,748,756,765,779,785,796,798,813,821,829,834,840,850,862,869,875,890,891,902,909,920,928,936,948,954,965,969,977,990,1000,1007,1014,1022,1028,1037,1045,1057,1062,1075,1084,1094,1101,1104,1113,1125,1133,1139,1151,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,33,36,43,59,64,71,80,88,99,102,113,127,129,144,152,160,167,174,316,320,330,335,348,356,365,374,386,394,398,407,412,427,430,440,598,601,615,626,634,638,645,659,663,676,682,687,696,707,713,724,735,738,752,759,770,776,782,795,804,811,820,824,832,841,856,859,870,880,885,897,907,913,923,927,938,945,953,960,973,984,985,995,1010,1011,1027,1034,1041,1051,1061,1066,1075,1083,1094,1104,1112,1116,1122,1137,1140,1152,1162,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,21,32,42,51,53,65,71,77,93,97,110,114,120,136,145,146,156,162,178,314,318,327,342,347,356,364,375,378,391,400,410,420,424,433,443,454,606,614,618,632,639,648,658,662,674,684,691,702,711,714,721,734,739,753,759,770,775,780,795,805,814,815,831,837,842,849,863,866,879,885,896,901,911,924,931,934,943,951,963,970,977,991,998,1006,1016,1027,1034,1036,1050,1061,1064,1072,1082,1089,1098,1107,1119,1124,1131,1141,1149,1161,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,24,30,39,43,53,65,70,80,86,101,108,112,122,131,143,145,157,168,172,315,324,331,337,350,356,363,369,382,388,399,411,419,421,436,442,452,603,617,625,631,640,644,654,667,671,682,688,702,707,713,722,729,741,750,755,765,775,783,793,798,808,814,830,837,846,854,864,874,877,890,895,905,911,918,930,937,942,955,960,974,984,990,999,1007,1018,1023,1029,1041,1046,1059,1067,1071,1079,1089,1100,1107,1118,1127,1134,1144,1154,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,19,32,37,47,51,65,76,84,87,99,108,114,120,129,140,149,154,170,173,314,324,327,341,347,357,362,375,385,387,395,406,420,427,436,439,598,603,611,623,633,643,650,656,663,677,678,691,701,708,712,720,734,743,751,755,765,779,784,789,799,809,822,829,837,844,852,863,867,882,888,892,906,911,917,927,941,949,951,962,974,978,986,998,1002,1017,1025,1028,1042,1052,1055,1069,1071,1084,1093,1101,1106,1115,1123,1133,1140,1154,1164,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,30,36,45,53,62,73,77,88,96,110,112,127,131,144,145,158,163,172,314,321,329,339,345,356,364,374,384,390,400,409,418,425,429,441,468,603,616,619,627,640,651,656,663,676,679,692,701,705,717,725,736,744,749,757,766,776,785,793,801,807,819,829,838,845,849,863,872,876,885,891,908,910,919,933,935,950,955,962,974,982,990,995,1007,1014,1022,1029,1041,1051,1058,1065,1076,1085,1092,1103,1105,1120,1126,1130,1145,1147,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,25,28,37,45,59,66,73,77,90,100,105,113,127,130,141,148,161,163,171,314,324,333,340,346,359,364,373,379,389,400,406,420,428,430,443,462,607,616,620,626,639,649,659,661,674,682,690,696,709,715,720,735,737,754,761,766,778,787,793,802,806,818,827,833,845,850,863,869,880,883,896,906,911,918,930,935,948,955,964,971,980,992,996,1008,1014,1019,1035,1037,1047,1054,1068,1073,1082,1090,1102,1112,1119,1125,1135,1142,1153,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,26,34,49,54,60,75,81,93,95,104,111,127,132,142,150,155,170,175,186,321,327,343,349,355,363,377,385,387,399,408,419,422,430,442,600,605,617,620,629,643,645,657,663,675,684,692,695,708,720,722,731,744,750,758,771,779,787,792,797,812,816,827,838,842,853,857,872,880,889,894,907,916,920,926,938,948,954,962,971,979,988,997,1008,1018,1020,1033,1042,1052,1062,1065,1071,1086,1095,1103,1104,1121,1122,1132,1146,1150,1158,1168,1177	1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,18,28,39,42,56,63,73,84,88,97,103,118,123,135,144,145,161,164,172,182,319,332,340,345,355,368,370,381,390,402,410,419,421,433,443,453,604,615,625,633,640,647,656,661,669,678,691,700,703,714,727,730,740,753,757,771,779,785,793,797,814,815,823,834,841,854,861,867,880,887,896,905,913,918,929,940,948,955,967,975,980,993,996,1006,1012,1020,1032,1044,1050,1057,1063,1071,1079,1094,1103,1107,1116,1127,1136,1143,1154,1160,1167	1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,15,19,33,36,49,56,62,68,84,91,100,110,113,125,131,137,150,160,169,172,185,323,333,339,344,356,362,376,385,392,402,408,412,422,433,441,599,601,616,621,631,637,648,658,664,669,678,691,702,707,715,721,733,742,751,757,768,778,784,796,798,810,816,825,834,840,852,860,868,879,887,896,908,913,920,928,939,946,955,967,969,983,988,995,1005,1016,1027,1029,1041,1053,1057,1062,1078,1080,1093,1097,1105,1119,1126,1134,1142,1154,1162,1168	1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,13,25,26,39,43,54,64,73,77,92,97,106,114,126,132,138,151,158,167,175,199,326,333,336,344,353,369,373,380,388,400,411,412,424,434,442,470,607,614,621,629,640,648,656,661,669,685,688,697,711,717,723,733,743,754,758,770,775,780,790,805,811,820,827,832,842,855,861,869,879,886,897,903,913,917,933,936,945,954,962,968,978,992,1001,1006,1012,1023,1030,1040,1048,1059,1063,1075,1085,1094,1096,1110,1117,1127,1134,1141,1154,1158,1170,1177	1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,24,27,40,51,55,62,76,83,90,101,107,114,122,135,141,147,160,167,173,188,322,327,335,352,359,365,370,382,390,397,408,415,424,434,440,599,607,614,623,628,636,646,655,660,669,685,690,701,705,716,725,736,744,750,760,768,777,780,790,805,808,815,829,838,845,848,859,870,875,890,891,907,908,921,927,941,945,958,964,974,980,990,996,1003,1017,1022,1035,1041,1047,1053,1070,1072,1086,1096,1098,1110,1114,1123,1130,1140,1150,1156,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,17,27,34,51,59,64,75,80,93,102,108,116,125,136,137,145,157,170,174,182,320,331,335,352,354,369,377,382,390,401,404,420,426,430,438,457,607,609,619,632,643,648,653,669,671,683,693,694,706,714,722,731,741,753,760,765,776,780,789,800,810,815,823,831,847,850,861,871,879,890,899,905,916,922,933,940,944,959,964,972,977,991,996,1005,1016,1019,1035,1037,1050,1053,1063,1071,1082,1089,1103,1107,1116,1126,1137,1141,1148,1162,1171,1177	1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,10,18,27,35,44,57,62,70,80,86,97,110,113,120,134,139,149,160,162,176,184,321,331,335,347,358,363,374,383,390,395,407,416,424,430,442,467,602,610,620,632,640,644,652,665,675,683,694,698,710,712,727,733,745,748,762,766,779,780,792,801,807,821,826,835,846,853,857,868,879,888,895,902,910,924,929,936,944,958,963,973,977,991,998,1008,1018,1019,1034,1039,1053,1057,1062,1070,1079,1094,1102,1112,1119,1125,1134,1145,1151,1164,1168	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,17,32,38,47,51,66,73,80,89,97,108,115,125,132,137,152,159,169,174,195,326,330,342,345,354,369,377,384,392,403,405,416,429,431,444,600,602,611,621,634,639,649,656,664,670,682,688,695,704,713,721,735,739,749,755,769,778,786,794,800,809,815,831,833,841,853,858,868,876,889,896,899,912,923,933,941,947,951,959,973,984,987,1002,1004,1013,1026,1033,1036,1047,1058,1068,1076,1079,1092,1098,1111,1117,1123,1136,1145,1155,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,19,30,40,45,57,63,70,76,86,94,103,111,120,133,140,147,155,168,178,316,318,329,338,345,352,365,375,382,395,403,407,417,426,431,438,454,607,614,621,634,637,644,654,661,669,681,688,703,710,718,723,735,738,748,756,765,775,781,793,804,806,822,828,839,847,852,861,867,876,891,898,902,915,925,933,935,943,956,965,969,980,986,996,1004,1016,1027,1028,1038,1045,1058,1070,1071,1082,1094,1096,1107,1120,1128,1131,1146,1155,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,29,40,47,58,64,73,80,85,99,105,118,124,136,141,148,159,167,178,186,323,332,343,352,359,364,376,380,393,403,409,416,423,434,441,598,605,612,626,633,642,647,656,667,672,684,694,699,704,714,726,729,741,748,759,765,778,781,792,803,806,815,824,838,841,856,860,868,881,887,898,907,916,924,925,939,947,953,967,971,979,988,996,1006,1013,1027,1033,1043,1053,1055,1068,1075,1085,1096,1101,1112,1117,1128,1132,1145,1155,1163,1165	1,0,0,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,22,26,42,50,58,63,71,80,92,94,109,112,122,135,142,145,154,162,171,181,322,327,336,345,353,367,375,379,390,395,408,415,424,432,445,599,601,609,618,633,642,644,653,668,676,684,688,702,709,714,725,730,741,749,758,768,776,784,795,801,807,816,828,837,845,852,857,870,881,888,892,905,910,921,925,935,943,953,961,973,980,992,998,1002,1014,1021,1032,1042,1047,1054,1069,1073,1087,1094,1103,1106,1120,1123,1137,1139,1153,1157,1167,1174	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,24,27,39,50,57,66,72,84,93,100,102,111,127,129,136,145,154,166,171,191,322,332,343,348,359,367,376,380,395,400,404,418,424,431,443,466,604,611,623,627,642,644,655,667,675,678,693,703,711,715,727,734,738,753,756,767,773,781,795,805,814,820,829,831,846,852,858,868,876,883,899,902,909,922,927,935,948,956,961,970,984,985,995,1002,1011,1023,1033,1042,1047,1055,1069,1079,1086,1093,1099,1106,1115,1126,1135,1141,1150,1156,1171,1175	1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,9,23,32,34,47,55,61,69,81,86,99,107,117,121,130,142,152,156,170,173,190,321,334,343,347,353,367,376,379,389,401,407,413,427,437,438,600,608,613,626,634,635,650,658,661,674,680,687,702,710,714,727,729,744,750,758,768,773,787,790,801,808,814,830,835,844,850,861,868,878,885,895,900,908,918,926,935,949,957,965,971,977,989,996,1003,1019,1026,1033,1044,1050,1057,1069,1070,1081,1095,1099,1108,1117,1122,1137,1138,1149,1162,1171	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,12,17,27,39,46,55,65,69,79,91,97,103,113,124,129,142,150,153,169,171,204,323,329,337,344,355,365,371,384,386,395,407,416,427,436,445,597,607,611,621,633,639,647,652,662,671,680,692,701,708,717,724,729,739,747,756,767,776,784,796,805,807,815,824,838,846,853,864,868,878,884,894,902,916,917,929,936,943,959,961,976,977,985,998,1007,1011,1027,1033,1038,1049,1054,1069,1078,1079,1095,1102,1106,1118,1122,1133,1146,1155,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
7,13,18,33,36,46,58,63,73,81,88,95,108,113,120,135,138,147,160,162,172,183,325,332,337,349,354,365,373,385,391,402,410,413,426,430,438,448,601,612,618,634,639,646,657,665,674,685,691,698,708,713,727,736,743,754,761,768,773,787,789,797,810,817,830,833,841,849,858,868,881,886,899,907,914,924,929,941,949,952,965,976,977,986,998,1008,1016,1027,1033,1039,1051,1057,1068,1076,1084,1094,1102,1109,1114,1125,1134,1143,1149,1161,1168	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
7,14,24,31,41,45,54,62,71,85,90,96,102,115,126,130,141,147,158,163,173,316,325,334,342,350,352,362,372,382,394,396,405,416,421,433,439,597,603,614,626,634,636,648,655,665,677,680,693,702,709,713,728,731,742,752,758,767,774,780,792,805,812,821,830,832,846,850,865,867,878,884,899,907,914,923,927,942,945,959,960,970,983,993,1001,1002,1013,1025,1036,1041,1046,1055,1062,1077,1085,1095,1101,1106,1120,1127,1136,1146,1150,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,28,37,47,53,63,69,84,91,102,104,116,127,134,139,149,159,165,171,315,326,334,336,346,357,362,373,380,393,401,408,418,424,436,445,599,606,612,619,630,640,647,653,662,675,678,690,703,711,714,726,730,745,748,756,763,779,787,796,797,811,819,824,832,845,851,859,868,877,886,893,903,916,924,927,936,947,951,965,969,979,987,999,1005,1010,1025,1032,1036,1047,1058,1070,1073,1086,1088,1100,1108,1117,1122,1132,1140,1148,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,30,36,45,59,60,74,81,85,99,104,111,123,130,143,148,153,170,171,315,320,334,338,351,359,363,374,380,394,400,411,420,422,432,446,465,602,617,618,628,643,648,660,665,677,682,691,696,704,714,726,730,741,746,755,764,775,786,792,804,806,822,829,835,848,851,859,870,881,887,892,904,909,923,927,940,948,951,959,974,980,985,998,1006,1016,1019,1034,1042,1047,1057,1068,1076,1080,1091,1097,1109,1114,1129,1130,1140,1148,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,33,39,46,58,62,75,78,90,102,103,117,127,135,143,145,157,169,179,315,319,329,341,348,353,369,377,379,389,398,410,419,423,430,439,597,601,610,618,634,641,651,660,665,669,680,690,695,705,716,723,729,742,750,760,765,773,784,793,798,814,818,827,832,841,849,859,872,876,886,896,905,911,919,931,940,944,956,963,975,977,989,996,1009,1017,1027,1033,1042,1048,1056,1065,1072,1082,1090,1096,1105,1115,1126,1132,1144,1148,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,23,33,36,47,51,60,68,83,88,96,102,112,124,136,138,145,157,162,171,313,320,329,338,345,354,364,375,385,389,395,410,416,423,435,440,600,603,611,623,632,639,645,654,665,669,685,692,695,705,716,724,736,743,752,760,771,773,780,794,802,806,818,825,836,848,856,863,872,876,891,893,903,915,918,931,940,947,955,961,970,983,988,999,1006,1012,1021,1031,1042,1045,1054,1063,1078,1081,1090,1103,1106,1121,1129,1133,1145,1147,1164,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,32,34,47,59,65,72,81,86,97,107,112,119,134,143,145,156,168,172,314,320,329,335,348,354,366,374,381,392,398,410,416,423,430,441,598,607,614,621,629,642,648,657,667,674,685,690,700,709,716,720,729,738,749,762,770,775,783,794,805,813,818,824,835,844,851,860,871,876,890,895,903,914,920,928,935,942,957,960,974,980,988,995,1003,1015,1027,1029,1042,1048,1057,1069,1076,1087,1095,1103,1107,1121,1128,1132,1144,1152,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,22,30,39,45,52,65,75,79,87,98,103,116,126,133,138,149,162,163,171,316,322,334,336,350,356,364,373,386,389,396,411,413,426,435,444,598,604,614,618,627,636,650,653,664,673,679,692,698,703,718,725,735,742,750,757,766,772,788,792,801,806,822,823,835,845,851,860,868,878,890,898,907,916,917,928,934,946,953,963,969,977,986,998,1009,1014,1021,1030,1040,1045,1056,1063,1075,1087,1096,1097,1112,1114,1121,1137,1139,1152,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,23,27,42,46,59,63,75,78,92,94,107,114,127,135,144,149,159,167,172,313,324,331,343,347,359,361,376,385,391,397,407,417,422,433,442,597,605,613,622,634,640,649,659,662,677,681,691,700,704,713,726,736,744,753,757,763,777,786,790,799,811,817,830,838,840,849,861,867,878,885,896,907,915,919,930,937,945,957,962,971,980,992,997,1004,1018,1027,1033,1043,1045,1060,1066,1073,1082,1094,1099,1111,1116,1129,1136,1141,1149,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,19,30,41,49,57,63,72,77,91,95,105,117,127,130,143,149,159,162,171,184,318,331,340,346,359,362,377,383,390,402,403,412,425,430,440,454,605,609,619,627,642,647,653,667,670,680,693,700,707,715,728,734,741,753,761,764,779,781,796,805,810,816,827,833,844,850,858,868,874,890,898,904,912,921,926,935,948,959,964,975,980,992,997,1006,1012,1020,1033,1043,1049,1053,1063,1075,1084,1087,1100,1110,1121,1123,1137,1144,1147,1158,1167,1175	1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,25,28,36,51,54,60,70,78,92,98,107,113,128,130,137,145,155,162,173,316,321,331,342,347,359,363,371,378,388,395,408,420,422,430,444,458,606,612,618,632,639,645,654,666,674,682,691,697,707,720,724,733,742,746,756,770,778,783,792,797,811,814,823,836,840,856,860,873,878,883,892,900,914,917,925,937,943,951,964,976,979,991,999,1002,1016,1021,1030,1042,1045,1053,1063,1073,1084,1088,1099,1107,1116,1124,1136,1144,1151,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,29,39,45,59,63,73,81,85,100,106,116,125,131,136,151,156,166,177,316,324,327,335,348,356,369,372,379,393,396,405,412,422,430,446,598,608,614,624,632,636,650,653,666,671,682,689,699,706,720,726,731,739,751,755,765,772,781,794,799,811,822,828,832,846,856,861,869,880,884,892,907,909,925,933,934,946,952,962,975,981,993,1000,1003,1019,1024,1032,1037,1049,1061,1063,1072,1084,1088,1096,1112,1118,1125,1134,1147,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,33,34,43,58,63,69,84,86,97,103,117,125,132,140,146,158,162,176,316,320,327,337,346,357,368,371,380,393,401,406,414,428,432,437,598,608,612,621,634,637,646,655,664,674,682,693,700,709,715,723,730,737,753,760,769,777,781,794,798,811,821,824,833,842,851,858,873,877,888,897,903,911,924,932,940,945,953,965,969,981,992,1000,1003,1018,1026,1034,1042,1051,1053,1064,1076,1084,1087,1099,1110,1115,1122,1134,1140,1150,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,17,25,29,37,42,59,67,70,81,93,101,109,118,121,136,144,153,161,163,178,313,318,328,343,344,358,366,369,384,391,395,409,417,421,435,442,598,604,609,621,633,638,650,656,661,675,679,688,695,703,718,725,731,740,751,762,769,779,785,793,803,808,821,823,835,842,854,863,867,881,886,893,902,909,920,928,934,949,952,964,969,984,987,997,1005,1013,1024,1034,1037,1048,1059,1062,1074,1086,1088,1104,1112,1120,1128,1134,1142,1153,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,21,26,35,45,57,64,71,80,87,98,108,119,126,134,140,152,161,169,171,193,321,335,337,349,359,363,377,378,394,399,410,418,421,436,443,470,607,613,621,627,635,651,658,667,671,681,690,698,705,715,724,734,742,747,757,769,778,784,795,801,807,822,823,835,840,849,864,865,880,885,893,904,908,922,929,941,950,951,962,973,976,989,998,1003,1014,1022,1033,1043,1049,1061,1063,1076,1079,1089,1097,1112,1115,1126,1135,1143,1154,1164,1168,1177	1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,16,24,31,40,46,53,63,73,82,92,95,110,116,120,131,145,147,161,166,171,316,325,333,336,349,357,369,371,379,388,398,407,413,424,433,441,597,603,611,624,631,637,644,653,666,673,680,689,700,703,712,724,736,744,752,759,767,775,781,795,804,813,821,827,835,844,852,865,866,878,890,892,905,913,920,931,939,945,955,966,969,983,992,998,1004,1016,1021,1028,1041,1048,1055,1067,1076,1087,1090,1101,1104,1118,1127,1136,1146,1152,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,24,27,38,43,58,64,71,85,92,102,104,113,127,130,142,145,158,165,173,314,319,332,340,346,360,365,375,383,387,402,409,417,424,436,442,463,601,612,623,632,638,644,653,667,674,679,686,702,707,712,725,732,739,753,762,770,777,787,791,797,811,822,827,836,844,854,857,873,875,890,894,906,910,923,932,941,944,953,962,971,979,990,1001,1006,1016,1027,1032,1038,1053,1055,1063,1071,1083,1090,1100,1112,1118,1126,1136,1139,1155,1161,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,33,39,48,59,62,70,81,93,100,109,117,123,131,144,149,158,170,177,315,326,330,342,345,352,363,369,381,394,400,405,419,428,433,441,462,605,611,622,627,641,645,660,663,670,682,691,695,711,712,725,733,743,753,762,766,772,780,794,799,806,815,823,834,842,852,859,867,881,884,892,906,910,919,931,937,950,959,961,973,982,987,997,1010,1012,1024,1031,1037,1049,1058,1064,1077,1083,1095,1104,1108,1114,1122,1135,1144,1155,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,29,35,49,57,63,69,81,87,94,108,111,119,134,144,152,158,167,179,315,322,326,335,350,356,361,377,382,387,402,411,419,423,432,440,596,607,610,626,630,638,646,654,667,674,683,691,703,707,716,725,734,738,749,757,766,778,782,790,804,806,821,824,833,844,849,864,867,876,887,898,903,912,923,929,935,946,951,960,972,984,989,994,1006,1019,1024,1030,1043,1049,1054,1067,1074,1079,1093,1099,1112,1120,1126,1132,1146,1154,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,32,40,49,53,64,73,76,91,93,104,117,123,131,143,149,159,169,174,318,322,333,341,347,357,363,375,386,394,395,409,415,424,437,443,460,606,613,622,633,636,649,653,666,676,686,691,694,709,714,728,733,742,749,756,763,778,786,791,803,813,818,825,839,846,854,864,867,877,888,892,908,915,922,929,941,950,955,960,972,980,989,995,1008,1015,1027,1033,1043,1051,1061,1065,1074,1084,1088,1097,1111,1117,1126,1133,1147,1149,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,29,34,45,56,61,68,79,91,97,106,118,121,134,140,145,161,166,171,315,319,333,342,344,353,365,374,383,394,398,406,419,429,434,439,468,602,616,622,632,640,647,656,664,670,682,694,700,706,719,726,731,738,746,757,770,774,782,789,798,809,819,826,835,843,848,864,873,874,888,895,903,916,922,932,934,943,954,959,975,979,985,997,1007,1017,1020,1031,1037,1048,1060,1066,1071,1086,1088,1097,1112,1120,1128,1137,1139,1149,1163,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,30,38,46,51,67,74,85,92,96,102,114,126,128,137,149,155,164,171,317,324,334,342,348,357,365,374,385,388,399,405,413,426,437,439,596,604,617,626,632,639,651,656,663,671,685,687,703,704,718,722,733,738,751,757,771,775,784,792,797,810,821,830,837,844,851,862,872,874,886,897,899,916,921,932,937,948,953,965,972,984,985,994,1004,1011,1020,1030,1038,1047,1061,1067,1075,1086,1091,1101,1108,1118,1122,1134,1147,1149,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,27,35,49,58,64,69,84,93,100,104,116,119,128,141,148,160,166,174,317,325,334,337,346,353,364,376,382,392,398,405,420,426,437,444,597,605,610,626,629,642,646,654,669,672,681,691,699,705,715,724,731,739,749,758,766,779,787,788,799,805,814,827,838,841,851,860,872,877,882,892,908,913,922,928,939,943,957,964,970,984,990,996,1003,1015,1022,1032,1044,1052,1054,1068,1077,1087,1089,1099,1104,1113,1128,1134,1141,1150,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,29,34,45,52,62,69,79,93,101,102,112,127,133,141,151,160,170,173,313,318,331,337,347,359,366,370,380,392,403,404,420,423,431,438,451,601,617,623,628,642,647,657,663,673,680,686,695,705,720,721,736,741,753,757,771,778,783,796,797,810,817,829,835,842,849,860,866,876,885,898,900,910,920,929,934,947,953,961,976,978,990,996,1005,1019,1025,1035,1044,1051,1054,1064,1075,1080,1088,1096,1111,1114,1123,1132,1144,1147,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,25,33,40,50,59,67,74,81,89,100,110,114,120,130,142,147,155,163,170,317,319,329,338,350,356,362,373,379,390,399,404,419,424,434,444,448,609,614,623,634,637,645,655,663,673,680,692,696,708,719,721,736,743,750,761,765,775,782,790,805,806,817,826,835,847,851,864,872,875,883,895,906,908,923,928,935,945,953,967,968,984,990,1000,1002,1013,1025,1036,1037,1049,1060,1062,1074,1084,1089,1101,1105,1120,1125,1130,1141,1148,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,31,34,48,55,61,73,81,93,94,106,114,124,129,144,153,158,164,177,316,320,332,341,352,358,365,372,382,388,395,407,413,426,434,440,599,603,612,618,626,641,648,656,668,674,678,693,698,709,717,726,729,745,750,756,766,773,783,793,804,813,822,825,836,845,851,857,866,881,885,891,902,914,919,933,938,947,952,963,973,978,986,997,1004,1013,1024,1032,1041,1051,1055,1069,1070,1084,1094,1103,1107,1120,1129,1137,1139,1153,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,32,36,42,59,61,71,79,87,99,106,117,122,130,144,148,155,168,177,315,326,327,337,349,353,366,372,383,387,399,407,414,429,436,440,466,608,612,621,633,639,645,658,668,674,682,692,701,706,715,721,729,743,746,762,767,778,785,794,805,807,817,824,838,847,850,864,873,878,889,898,903,908,921,930,938,945,955,967,971,984,989,1001,1006,1018,1022,1035,1036,1046,1060,1070,1072,1080,1087,1103,1113,1117,1130,1135,1146,1154,1162,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,26,39,47,57,63,74,82,86,98,106,118,121,133,143,147,155,170,176,186,325,329,339,345,353,363,369,383,389,398,404,412,427,430,443,465,604,613,623,634,641,647,658,665,677,680,690,698,711,715,726,730,739,749,758,770,778,780,792,805,806,820,824,835,848,854,860,872,882,884,893,903,911,918,927,934,950,957,964,973,981,985,996,1004,1013,1023,1035,1044,1048,1058,1064,1078,1087,1088,1099,1108,1121,1125,1138,1146,1153,1162,1166,1173	0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,21,33,36,47,58,61,70,82,85,97,106,116,120,133,141,151,161,167,171,202,324,332,338,348,354,363,377,380,390,397,411,412,427,433,442,598,601,614,625,633,636,644,659,663,671,680,689,701,710,713,724,732,745,748,762,763,772,783,789,805,807,822,828,837,840,849,865,870,874,886,896,902,910,916,932,937,947,958,961,970,983,987,1000,1005,1017,1026,1029,1040,1047,1059,1062,1077,1080,1093,1099,1111,1113,1124,1130,1146,1150,1160,1170,1175	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
6,16,21,29,40,45,57,67,73,83,89,96,102,113,126,128,139,151,155,170,178,204,322,328,343,346,358,362,376,381,388,395,406,420,429,437,442,453,604,615,624,628,641,650,659,665,669,683,686,700,705,714,722,732,744,750,756,767,776,782,795,804,806,820,825,832,848,856,865,873,874,890,891,903,910,919,928,941,942,955,962,975,983,986,1000,1004,1016,1027,1034,1038,1053,1056,1068,1078,1082,1094,1097,1105,1115,1129,1137,1143,1147,1163,1172	0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0
5,12,24,32,36,48,58,66,73,78,90,101,106,114,119,135,143,149,158,162,173,190,324,333,338,345,360,369,372,380,395,397,405,418,428,433,446,599,605,614,625,629,639,650,659,662,677,683,694,698,704,718,723,730,744,746,760,765,778,780,791,799,806,822,828,837,847,852,857,871,877,885,894,907,914,924,931,935,946,951,962,975,983,985,995,1005,1017,1024,1029,1042,1052,1057,1067,1072,1079,1093,1097,1109,1114,1124,1132,1140,1154,1163,1166	1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,25,31,39,47,56,64,74,84,86,97,110,111,120,129,141,150,153,163,171,181,320,327,336,349,358,361,376,379,390,401,408,418,424,436,443,457,607,609,620,632,636,650,658,663,674,683,692,698,711,717,720,733,738,747,756,764,772,786,790,805,810,816,829,837,844,852,859,868,875,887,892,906,914,921,927,941,947,952,959,968,982,985,999,1006,1012,1020,1035,1037,1051,1055,1063,1072,1079,1091,1097,1109,1114,1129,1135,1143,1154,1163,1165,1173	1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,20,30,37,49,58,67,71,81,85,101,102,113,121,132,144,148,157,166,177,179,319,331,335,351,355,365,370,386,387,395,404,417,426,429,438,452,609,617,618,630,641,643,654,666,669,683,686,696,711,720,722,737,738,748,762,770,776,780,795,799,814,819,828,833,845,849,863,869,880,883,892,902,915,921,928,938,944,958,965,972,983,985,1000,1004,1013,1025,1031,1044,1046,1056,1068,1077,1079,1088,1102,1109,1117,1127,1130,1144,1153,1161,1170,1176	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,18,28,41,46,57,66,68,78,89,99,104,111,121,131,138,150,157,169,177,181,320,334,337,347,358,365,374,385,388,402,404,414,424,434,439,467,605,613,625,630,639,647,653,669,674,681,687,698,705,712,723,734,740,748,760,765,772,786,794,798,807,815,826,833,840,852,864,868,881,884,892,907,914,921,931,942,946,956,963,968,983,989,996,1008,1016,1023,1034,1045,1049,1053,1063,1071,1079,1088,1100,1112,1121,1127,1136,1147,1150,1162,1166,1176	1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0
4,15,19,31,40,43,59,66,76,83,91,98,107,112,120,130,142,153,158,164,178,184,323,333,336,346,359,363,373,386,388,399,406,417,422,435,439,458,606,615,623,632,638,650,656,666,676,685,692,697,704,718,723,730,742,754,760,767,776,782,793,800,808,820,828,835,841,849,862,868,875,887,895,901,915,919,927,936,948,958,966,969,983,993,998,1009,1017,1024,1029,1043,1050,1057,1069,1075,1082,1091,1101,1112,1114,1128,1132,1146,1149,1160,1169,1177	1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,15,22,27,39,44,56,66,74,82,89,97,105,117,122,130,140,149,157,165,171,316,319,328,338,349,358,363,371,381,394,397,404,417,424,431,443,451,600,610,625,628,637,648,655,662,676,683,688,697,710,714,724,729,744,748,756,767,773,780,795,798,811,822,828,831,842,849,858,873,879,890,897,903,914,924,930,939,950,955,966,969,978,993,999,1009,1013,1019,1032,1043,1051,1055,1063,1077,1083,1095,1096,1112,1114,1122,1133,1139,1151,1164,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,27,40,49,57,61,76,84,90,98,102,117,123,134,144,148,158,164,176,314,324,334,339,346,353,368,371,383,387,395,406,414,428,430,445,466,605,610,618,627,636,645,652,668,672,680,686,702,703,719,720,729,738,750,757,769,772,788,793,801,808,820,828,838,847,853,862,868,881,887,895,903,911,917,926,937,942,958,963,971,984,985,996,1010,1019,1026,1028,1038,1049,1060,1062,1077,1080,1091,1103,1112,1115,1127,1136,1145,1154,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
6,15,24,30,35,44,58,63,69,83,88,101,107,114,123,128,140,148,153,168,174,192,319,332,343,348,353,369,371,384,394,402,410,412,421,437,438,597,608,613,618,632,643,649,656,662,672,685,691,702,709,712,723,735,740,751,757,769,775,781,790,797,810,815,824,834,841,850,863,874,881,883,897,903,913,921,933,942,944,953,965,973,980,988,1000,1008,1012,1025,1033,1037,1047,1055,1069,1076,1083,1093,1097,1112,1119,1129,1137,1140,1153,1160,1168,1175	1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,22,27,36,46,53,65,70,78,93,99,103,113,127,128,143,151,157,170,173,317,319,333,341,344,353,367,374,381,387,398,406,417,423,429,440,597,605,612,626,629,641,652,654,661,670,685,690,700,708,717,726,729,742,752,760,764,777,788,791,800,806,815,824,832,841,850,859,873,882,884,895,900,913,924,931,935,948,955,959,971,984,988,1000,1002,1013,1022,1034,1039,1049,1057,1066,1074,1084,1093,1100,1111,1115,1122,1137,1144,1153,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,18,31,39,46,55,61,76,77,89,100,110,119,127,128,140,149,158,162,172,184,318,329,337,346,355,363,377,379,388,396,405,419,427,436,440,455,608,615,619,633,643,649,653,664,674,683,687,699,711,718,728,730,741,747,760,764,774,781,790,799,808,820,830,837,843,853,864,873,880,891,895,906,912,923,932,940,949,958,964,972,978,992,997,1007,1013,1026,1032,1042,1045,1057,1069,1071,1087,1090,1100,1108,1118,1129,1136,1142,1150,1161,1166,1175	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,15,24,32,35,51,56,63,68,84,89,99,104,111,126,130,140,152,155,163,172,179,323,328,339,346,357,362,376,382,388,398,406,418,427,431,437,597,606,615,618,634,638,644,654,665,674,680,688,695,704,718,724,729,742,749,760,769,777,788,795,798,808,820,830,832,842,850,857,868,876,888,895,908,913,919,930,942,946,955,961,969,978,986,996,1010,1016,1021,1029,1038,1045,1054,1065,1073,1085,1095,1098,1108,1117,1125,1130,1145,1148,1156,1166,1174	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,8,22,27,38,50,52,63,74,83,88,99,102,117,119,133,139,150,161,163,171,180,325,328,343,349,358,367,376,384,389,397,410,417,421,435,440,599,609,610,620,634,641,649,656,666,673,680,694,699,711,713,727,730,740,749,760,765,777,785,793,803,806,815,825,833,842,850,864,872,879,890,897,900,913,924,927,936,949,958,961,973,982,987,998,1004,1014,1025,1029,1039,1047,1057,1063,1073,1082,1091,1103,1111,1113,1123,1130,1144,1147,1157,1168,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,22,33,39,50,53,60,69,81,93,101,104,113,127,135,137,147,158,166,176,317,320,334,336,344,353,368,370,378,391,402,409,417,424,437,444,596,603,616,620,630,638,647,658,663,677,684,691,698,706,717,723,732,745,751,761,771,772,782,791,802,813,816,826,835,845,853,862,873,882,887,895,905,909,923,931,937,948,958,959,971,983,992,994,1008,1012,1025,1032,1036,1051,1059,1062,1077,1086,1090,1102,1110,1117,1125,1132,1144,1153,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,17,32,40,49,55,64,69,84,85,96,109,115,124,135,141,146,158,165,171,314,319,332,339,347,354,368,377,380,391,395,409,413,428,433,440,596,608,617,626,627,638,644,653,660,677,679,693,695,704,712,725,730,744,750,755,769,776,786,792,805,808,821,824,836,845,848,862,868,874,889,894,907,912,923,930,935,946,954,964,976,978,985,995,1003,1010,1019,1032,1038,1049,1059,1066,1071,1081,1087,1097,1105,1118,1128,1138,1139,1148,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,26,34,49,56,65,73,79,87,100,103,114,120,133,142,145,155,166,177,316,325,334,340,347,356,364,370,382,391,401,405,416,424,433,442,598,605,612,618,632,642,647,654,666,670,680,693,698,707,713,721,735,738,752,757,766,774,788,789,801,814,820,829,836,844,850,863,870,877,884,894,904,915,923,928,938,942,958,962,973,980,991,996,1006,1014,1027,1030,1041,1051,1061,1064,1073,1079,1090,1099,1107,1119,1126,1131,1139,1147,1160,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,27,39,44,56,63,72,84,86,101,103,114,122,135,137,151,154,170,171,316,319,333,343,344,360,365,371,380,392,402,408,412,423,434,445,600,606,615,619,627,636,650,659,667,670,679,694,702,705,717,727,730,742,746,758,770,773,787,788,804,811,820,827,835,842,852,860,872,876,882,891,905,912,919,930,939,947,953,962,976,981,991,997,1002,1011,1023,1032,1036,1045,1057,1067,1071,1081,1090,1100,1112,1119,1124,1132,1143,1151,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,32,35,47,54,66,70,83,90,94,106,111,125,130,142,149,156,169,174,313,323,334,339,347,353,363,370,383,394,399,411,415,425,429,439,460,607,611,624,630,641,649,652,665,675,686,689,702,708,714,725,736,745,752,755,770,779,781,793,801,811,818,827,831,842,850,858,866,880,885,893,907,909,921,926,934,949,952,968,976,983,986,996,1006,1014,1022,1034,1044,1046,1054,1070,1073,1086,1087,1101,1110,1114,1129,1130,1143,1155,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,31,39,45,52,62,73,84,92,100,107,117,121,135,142,146,160,168,171,313,325,334,337,346,352,369,371,380,388,397,412,413,425,432,439,470,603,613,623,634,642,646,657,667,677,680,691,697,705,718,721,734,739,747,756,770,775,782,791,802,813,815,830,835,843,853,862,868,876,885,899,905,908,923,928,939,947,954,961,975,976,989,999,1009,1017,1019,1031,1038,1051,1056,1065,1074,1079,1089,1097,1108,1119,1125,1135,1145,1151,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,28,37,44,54,65,73,79,87,96,104,111,123,129,140,150,160,165,174,313,318,329,335,344,355,363,376,381,387,397,411,418,426,430,445,456,604,617,624,627,642,649,652,663,674,682,690,697,710,711,724,734,739,748,755,768,774,784,789,800,808,820,829,835,847,851,861,873,881,883,898,902,915,920,925,936,947,952,967,975,984,989,997,1006,1017,1027,1033,1042,1047,1057,1063,1072,1083,1092,1099,1113,1117,1122,1134,1141,1155,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,34,37,45,52,66,76,80,88,94,102,113,122,134,139,152,159,167,175,313,326,327,343,352,360,367,377,383,394,400,404,415,422,435,443,598,601,610,625,628,637,650,657,660,673,685,688,695,704,712,727,735,742,748,759,768,773,787,794,798,809,822,830,835,847,849,864,866,876,887,895,907,910,922,928,941,950,959,961,975,977,987,1000,1010,1013,1021,1032,1044,1050,1056,1065,1071,1086,1095,1099,1111,1120,1126,1133,1144,1148,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,33,41,49,53,60,75,81,87,97,106,115,126,132,144,149,156,169,175,183,324,329,336,345,355,365,374,383,390,397,405,417,423,430,442,596,600,615,623,626,637,651,655,668,670,685,689,701,708,715,722,735,739,752,761,765,776,787,790,802,814,817,828,837,840,851,864,868,882,884,898,904,912,920,928,937,950,956,962,971,977,990,998,1009,1013,1025,1031,1038,1050,1054,1062,1072,1082,1094,1098,1108,1114,1128,1131,1145,1154,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,18,26,39,47,58,61,73,77,85,99,107,119,126,136,140,152,158,168,171,316,325,329,340,351,358,363,374,379,394,399,412,419,426,436,443,597,606,612,620,626,638,648,658,667,669,683,691,696,708,717,725,734,745,748,760,763,779,788,795,799,811,820,828,837,844,853,863,873,876,883,899,902,913,923,927,941,942,956,960,974,980,992,1001,1005,1019,1026,1031,1041,1049,1059,1066,1077,1079,1088,1100,1107,1116,1128,1135,1146,1149,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,30,37,48,55,61,74,82,86,101,108,114,127,131,137,146,155,164,173,314,320,334,341,349,354,361,375,382,389,399,410,415,422,433,438,456,608,615,626,628,642,650,657,666,673,682,688,698,709,719,726,733,745,751,761,770,776,782,789,804,808,816,825,834,844,856,859,873,875,888,891,903,916,923,930,940,943,953,966,975,981,989,994,1009,1017,1026,1035,1043,1047,1061,1062,1077,1083,1090,1100,1108,1117,1123,1130,1145,1148,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,27,34,45,59,63,74,83,92,95,107,112,124,129,138,147,156,166,174,313,322,328,343,347,357,365,377,379,388,400,411,412,423,433,443,596,604,612,622,627,636,645,655,666,669,678,689,698,705,715,720,735,740,751,757,769,779,783,793,797,806,822,830,837,843,848,859,870,876,885,898,903,913,923,931,935,948,958,961,972,978,991,995,1004,1014,1021,1028,1038,1046,1058,1069,1071,1086,1088,1101,1109,1115,1122,1134,1147,1148,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,25,26,37,50,51,62,74,85,89,97,103,114,120,131,138,152,160,166,178,316,321,332,337,345,359,365,374,380,391,397,410,418,425,437,446,455,604,610,619,630,639,649,653,665,671,684,689,698,704,713,722,733,741,754,760,766,777,787,791,800,807,814,829,839,847,853,859,870,876,887,897,904,914,923,931,937,944,958,963,976,977,987,999,1003,1016,1021,1033,1043,1050,1059,1064,1078,1082,1092,1103,1113,1114,1126,1136,1144,1147,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,27,38,48,52,64,68,84,91,100,106,118,120,134,137,146,155,167,174,180,319,328,341,347,357,365,374,386,391,395,406,414,422,437,444,461,604,615,623,629,635,651,658,666,673,682,688,701,705,719,725,736,739,752,755,769,779,788,790,803,810,819,823,834,844,854,858,866,880,883,894,902,911,920,929,940,945,956,962,969,982,988,995,1009,1014,1022,1033,1042,1048,1059,1070,1078,1080,1088,1101,1110,1115,1123,1137,1142,1149,1163,1172	0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,9,21,25,38,42,54,65,76,81,87,98,103,113,121,134,141,146,158,162,176,315,321,327,339,344,357,363,375,383,393,398,409,413,422,430,439,462,601,611,620,631,635,648,656,662,674,681,689,695,708,717,726,734,744,752,756,768,777,787,791,800,810,815,823,831,841,855,860,871,875,886,892,901,910,918,927,939,944,958,962,969,979,987,994,1003,1014,1021,1035,1041,1050,1061,1062,1071,1082,1092,1103,1105,1116,1126,1138,1147,1151,1164,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,32,38,47,59,60,72,78,86,97,103,112,120,132,144,146,159,163,174,316,321,327,341,348,359,367,374,378,390,403,404,417,424,437,444,451,607,615,625,634,643,651,654,660,672,683,691,701,703,716,726,732,738,752,758,769,773,786,792,801,807,815,825,834,845,849,864,871,875,889,892,901,911,920,931,938,949,958,961,972,982,988,994,1006,1011,1020,1033,1039,1052,1057,1068,1078,1085,1087,1104,1107,1119,1123,1137,1145,1149,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,23,25,39,47,51,62,71,81,92,94,103,114,121,132,143,145,161,170,173,317,325,327,335,352,354,368,376,379,387,398,410,414,422,437,446,452,602,613,620,633,635,647,653,668,674,681,688,700,709,719,722,729,739,752,758,767,775,788,795,800,811,821,824,838,841,850,862,866,879,886,892,903,915,922,933,940,948,954,960,972,984,992,995,1002,1013,1022,1031,1042,1046,1058,1066,1077,1080,1092,1096,1113,1116,1122,1137,1146,1153,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,32,34,45,56,62,73,76,89,94,104,119,126,128,144,149,161,169,171,314,323,328,339,346,358,362,375,383,388,403,407,412,426,431,441,596,608,610,625,629,639,644,658,661,669,684,687,696,711,716,724,732,744,751,758,768,774,780,791,801,812,817,827,837,840,854,864,866,874,884,898,905,913,924,928,941,946,955,967,972,977,988,994,1003,1012,1021,1028,1040,1047,1057,1064,1073,1084,1092,1102,1107,1117,1126,1132,1145,1149,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,29,35,45,58,66,73,78,91,95,108,115,121,136,140,151,157,169,178,314,322,333,338,348,353,363,369,381,393,400,404,418,426,434,445,596,606,616,620,634,642,646,654,663,673,684,693,699,709,717,723,732,738,754,759,767,773,782,789,798,813,821,823,834,846,854,865,872,881,889,897,907,911,918,929,935,942,958,960,968,980,991,994,1005,1014,1023,1035,1038,1046,1053,1063,1076,1082,1089,1099,1111,1114,1128,1131,1147,1153,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,27,39,45,59,61,75,77,93,97,104,115,126,130,137,153,156,168,176,314,326,333,336,347,354,367,372,382,389,395,407,412,421,431,438,460,606,610,625,632,643,647,654,665,676,678,689,695,704,715,725,729,745,754,761,771,775,781,795,801,808,819,828,837,842,854,864,868,877,890,893,905,908,921,928,938,947,958,961,972,983,987,997,1008,1012,1022,1035,1039,1049,1061,1066,1078,1079,1088,1099,1105,1113,1127,1134,1140,1153,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,27,40,49,55,65,68,78,86,98,108,119,123,135,139,149,158,167,176,315,318,330,335,347,353,367,372,385,387,402,406,414,426,437,445,599,603,612,621,629,641,644,655,666,675,680,692,695,711,717,728,729,744,750,762,763,774,783,796,798,807,818,827,838,846,850,863,872,874,888,892,903,915,924,929,940,945,955,964,975,980,992,1002,1009,1011,1026,1033,1041,1049,1058,1064,1077,1083,1089,1096,1106,1120,1129,1136,1146,1147,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,17,25,30,42,49,54,62,75,82,89,94,110,118,125,131,141,151,154,164,174,313,318,332,341,348,359,368,372,379,390,395,411,412,425,434,442,597,602,610,624,626,642,648,652,662,672,680,691,696,711,719,727,736,742,751,757,770,776,782,795,797,806,820,831,837,840,857,862,871,882,886,897,900,914,923,927,934,944,952,962,973,978,991,995,1004,1015,1020,1029,1042,1050,1057,1068,1072,1081,1088,1100,1109,1113,1128,1136,1139,1148,1157,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,21,33,39,45,56,66,68,81,86,96,104,115,127,135,141,146,155,165,173,316,319,332,342,345,352,367,372,378,391,402,408,416,423,432,443,598,603,614,626,628,641,645,658,661,673,679,688,700,708,717,721,736,741,746,759,766,778,783,794,800,806,819,831,833,841,852,859,866,874,884,897,901,913,921,928,937,950,952,961,973,977,990,1002,1010,1018,1022,1028,1038,1051,1054,1067,1071,1085,1096,1102,1108,1119,1130,1137,1147,1155,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,26,42,43,57,62,69,79,91,99,109,117,124,130,144,150,154,168,179,314,324,327,338,351,355,362,377,380,390,402,407,415,424,437,439,465,601,616,625,627,635,644,656,665,671,679,691,702,706,719,724,735,740,749,757,771,776,783,793,803,807,817,823,833,847,856,861,866,880,888,898,907,915,922,933,934,946,953,959,970,976,987,994,1004,1017,1022,1033,1043,1045,1058,1067,1074,1080,1090,1096,1110,1115,1130,1132,1141,1154,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,25,33,40,43,57,64,72,77,91,101,102,113,122,131,141,147,157,169,178,314,321,329,337,347,353,369,372,380,389,395,404,419,427,432,444,597,604,614,618,630,636,648,659,664,669,680,690,699,710,717,724,734,743,747,761,767,774,781,794,800,808,816,826,839,840,851,861,869,879,886,891,905,909,922,933,938,943,953,968,971,981,988,999,1006,1016,1019,1034,1040,1051,1053,1066,1075,1080,1092,1099,1110,1117,1127,1133,1145,1151,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,26,35,49,58,62,70,78,92,93,110,114,123,129,140,151,156,167,177,316,326,328,342,348,357,367,377,379,393,395,408,414,423,436,445,599,608,610,625,633,643,645,657,665,675,679,688,699,711,718,723,732,740,753,757,770,773,785,791,803,807,821,827,834,841,850,863,868,874,888,898,905,915,919,928,940,945,952,959,972,977,992,1000,1009,1015,1025,1034,1044,1045,1054,1068,1078,1080,1089,1102,1104,1115,1124,1137,1146,1148,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,19,28,37,49,57,67,70,79,90,100,108,114,128,136,144,150,160,164,176,180,326,333,338,345,357,365,375,379,391,396,411,415,428,435,440,598,606,609,618,627,635,643,658,665,672,683,687,698,710,718,728,730,738,751,761,763,772,784,795,801,814,820,825,835,844,852,862,871,880,885,899,904,916,921,930,936,950,959,966,973,984,992,1000,1004,1011,1019,1032,1042,1049,1053,1066,1075,1083,1091,1103,1104,1114,1122,1130,1147,1154,1160,1169,1173	1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,21,26,41,46,57,67,72,82,91,98,106,111,125,133,137,146,154,169,178,184,323,329,343,347,360,361,375,382,390,399,405,419,427,431,442,447,603,612,625,634,642,649,658,663,677,679,694,699,710,719,726,731,737,750,755,769,776,784,793,800,811,818,825,836,844,854,860,873,880,889,897,902,909,920,925,940,943,956,962,969,981,988,994,1009,1017,1021,1030,1043,1045,1055,1070,1075,1086,1095,1099,1108,1119,1130,1136,1143,1153,1160,1169,1177	1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,8,23,30,34,50,57,64,76,80,92,100,104,116,120,132,142,146,156,164,176,188,319,331,335,343,356,364,371,380,391,402,406,414,426,434,442,597,607,612,620,631,637,649,655,662,672,679,690,700,709,713,728,733,743,746,755,765,777,788,793,805,813,820,831,838,841,851,864,866,874,888,892,903,915,917,932,942,946,959,962,973,976,993,996,1003,1018,1022,1033,1042,1049,1061,1067,1079,1080,1093,1102,1108,1121,1128,1137,1142,1152,1158,1172	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,18,33,40,46,54,66,74,82,89,94,106,118,127,132,143,152,154,168,172,181,319,332,343,345,355,362,374,383,392,398,404,416,423,432,438,596,607,611,623,629,642,645,653,668,673,685,686,698,705,718,725,733,745,747,761,769,779,781,793,797,813,821,827,836,844,854,858,869,878,883,892,905,911,924,929,941,946,954,966,969,978,991,996,1005,1015,1026,1031,1043,1053,1057,1067,1073,1079,1091,1098,1110,1118,1128,1133,1141,1148,1162,1170	1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
2,12,21,26,41,50,53,61,76,78,86,99,105,116,126,131,138,150,157,165,175,194,325,333,336,349,354,364,374,378,393,402,404,415,429,435,444,597,608,614,620,630,643,648,654,666,669,684,694,701,708,717,725,730,743,751,756,771,776,782,789,801,813,821,830,838,840,852,864,873,878,889,898,906,911,923,926,941,949,958,960,973,977,989,1000,1006,1014,1026,1032,1039,1047,1058,1069,1075,1083,1095,1099,1108,1121,1127,1134,1143,1154,1158,1170	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,21,27,36,50,53,66,68,83,88,100,104,112,121,132,139,148,155,163,171,185,326,327,341,346,359,365,372,382,389,401,405,414,426,432,444,469,604,615,624,632,638,644,655,662,675,678,694,701,707,719,724,734,741,751,755,770,778,780,795,798,806,821,825,839,843,851,857,869,876,888,892,905,910,924,932,938,946,951,964,973,984,988,996,1003,1016,1020,1032,1037,1048,1062,1065,1070,1081,1093,1103,1110,1115,1125,1137,1142,1153,1162,1166,1175	0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,12,23,26,40,43,58,64,74,83,89,98,102,114,120,135,141,149,161,169,173,181,321,330,342,346,360,361,371,381,394,398,411,415,423,431,442,597,602,614,624,633,637,643,657,667,675,681,692,702,706,716,726,735,745,752,758,766,777,783,795,801,809,822,831,832,847,854,859,866,881,887,893,906,914,918,931,942,950,953,959,976,979,991,1000,1005,1015,1022,1031,1039,1047,1061,1070,1073,1085,1087,1103,1107,1120,1122,1133,1139,1148,1162,1165	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,15,24,33,35,44,53,61,76,85,91,95,109,116,128,135,139,150,156,167,177,183,318,330,340,350,356,364,373,379,392,397,410,412,422,430,439,600,608,614,624,630,638,648,658,667,674,683,689,702,703,716,727,735,741,751,756,770,773,783,791,804,808,822,829,832,846,848,858,867,877,884,899,905,912,919,931,940,944,955,966,971,979,992,998,1008,1017,1021,1028,1043,1052,1055,1062,1077,1082,1089,1100,1107,1119,1124,1134,1140,1148,1163,1171,1178	0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,20,31,41,49,54,59,74,82,88,101,107,114,124,135,137,150,160,170,176,318,321,329,343,348,356,367,375,379,394,396,410,414,421,436,438,599,606,616,623,627,638,644,652,661,675,682,686,701,707,717,723,736,740,749,761,770,780,784,790,803,810,818,825,835,841,856,859,871,880,883,893,903,914,922,929,934,949,953,962,971,981,992,999,1007,1011,1021,1029,1042,1045,1055,1066,1074,1082,1088,1097,1105,1115,1125,1138,1142,1147,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,30,41,49,57,66,70,84,87,97,105,112,121,133,144,150,155,166,173,183,322,334,340,352,353,367,372,385,394,402,405,419,425,434,446,598,602,613,625,626,642,646,655,661,674,678,689,697,710,717,727,732,739,750,762,766,773,786,797,800,807,820,824,836,844,856,859,870,881,889,895,906,910,922,932,942,949,955,961,976,980,990,997,1005,1019,1025,1030,1038,1046,1059,1063,1078,1086,1090,1099,1105,1115,1128,1134,1141,1148,1163,1168,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,17,32,36,44,56,65,69,83,86,99,109,116,119,135,138,153,160,162,173,191,324,334,336,349,359,362,369,385,391,400,410,419,423,430,442,463,603,610,619,633,638,645,657,662,671,684,690,698,707,716,723,736,744,751,761,764,773,788,796,802,811,821,828,837,841,850,860,870,874,884,895,900,909,923,930,940,944,953,962,975,982,986,999,1002,1018,1023,1031,1038,1051,1056,1069,1075,1082,1094,1096,1111,1118,1122,1131,1141,1152,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1
4,9,21,30,37,46,53,61,73,77,87,101,110,117,120,134,142,148,157,162,171,182,321,333,342,346,358,361,371,385,388,398,411,415,428,434,437,596,602,611,620,634,643,651,652,663,674,682,687,700,707,715,722,731,740,750,755,769,778,786,794,804,810,817,826,834,848,852,857,868,882,890,898,904,909,917,926,940,950,954,966,969,977,989,1002,1004,1016,1023,1035,1038,1052,1054,1066,1078,1080,1094,1100,1110,1116,1128,1137,1146,1155,1159,1171,1175	1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,20,29,42,51,52,62,72,81,90,102,108,118,120,130,140,147,154,165,178,180,320,328,340,349,357,368,378,379,392,403,404,412,428,436,442,458,606,609,626,634,639,648,659,667,675,681,688,697,709,717,726,737,741,752,755,770,774,784,794,802,813,817,831,837,843,855,861,870,874,889,897,900,908,924,925,937,948,958,967,970,984,988,1000,1006,1013,1020,1028,1042,1053,1060,1066,1073,1080,1088,1097,1106,1121,1127,1138,1139,1154,1158,1172	1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,21,33,34,50,56,63,75,84,92,100,109,116,120,134,140,148,154,164,172,194,325,327,337,345,358,365,374,383,389,400,405,418,426,432,441,599,605,611,618,634,635,646,654,662,674,679,689,697,705,713,722,731,745,750,761,765,771,781,794,802,807,821,823,837,845,855,865,868,877,887,894,904,909,918,932,936,948,951,965,970,980,987,993,1005,1012,1023,1035,1042,1051,1057,1062,1075,1084,1091,1099,1107,1119,1126,1133,1139,1149,1163,1169,1175	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
0,11,19,26,42,50,52,65,71,83,92,97,108,111,124,128,141,149,155,168,175,182,321,330,336,344,357,368,373,385,390,400,404,413,423,431,439,597,606,617,625,627,640,645,659,662,672,683,690,697,710,718,721,736,742,746,757,764,777,788,793,802,810,817,825,832,842,850,859,872,877,886,896,905,912,922,933,937,946,957,961,976,979,987,996,1005,1011,1022,1030,1041,1046,1059,1069,1078,1084,1094,1101,1107,1114,1129,1132,1142,1149,1156,1172,1175	0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,14,20,29,36,51,52,66,72,81,92,100,110,112,125,131,144,152,154,167,172,315,321,327,343,348,358,366,371,379,390,397,405,412,429,437,441,458,601,613,624,634,639,647,656,669,670,685,687,698,711,714,728,737,746,749,755,771,779,782,796,800,810,817,824,836,841,851,863,872,875,889,897,905,908,922,925,942,946,952,961,970,979,990,1000,1007,1013,1024,1036,1044,1046,1060,1063,1074,1083,1088,1102,1111,1121,1129,1137,1145,1150,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,27,39,47,56,59,73,81,87,94,103,119,126,129,141,148,158,163,174,316,326,328,343,344,353,363,376,379,386,397,409,417,428,433,439,449,603,614,623,632,642,649,653,664,669,677,693,696,706,713,721,730,744,754,760,766,777,786,791,803,808,819,824,838,845,848,858,873,877,888,891,904,910,918,927,940,947,957,959,975,980,992,998,1008,1018,1020,1029,1037,1046,1059,1066,1073,1083,1089,1098,1107,1115,1124,1136,1141,1152,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,24,25,38,45,53,64,70,84,91,98,109,112,125,128,144,151,160,167,177,314,326,327,340,350,359,361,370,379,387,399,408,414,421,432,446,600,601,617,621,631,642,651,657,664,676,680,689,696,705,713,727,729,738,751,756,763,778,782,796,802,807,815,825,832,841,855,858,869,879,884,893,907,910,920,932,941,945,951,966,974,978,986,1000,1010,1014,1024,1030,1037,1052,1061,1066,1078,1080,1094,1102,1110,1118,1124,1135,1145,1154,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,17,32,35,49,52,64,70,82,91,100,104,115,123,132,144,147,159,165,174,317,324,331,342,344,355,362,374,381,390,403,404,412,425,431,440,599,603,613,618,631,638,651,656,667,671,678,687,696,707,712,727,737,739,750,755,769,780,788,793,799,809,819,827,836,844,851,864,867,874,883,895,903,916,920,929,935,948,952,966,973,979,991,994,1003,1012,1024,1034,1039,1051,1060,1065,1073,1081,1088,1101,1105,1117,1122,1132,1141,1153,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,17,33,34,47,59,67,74,84,93,99,108,114,124,129,141,147,156,167,177,317,321,331,340,351,360,361,374,383,393,400,410,418,422,430,440,469,605,611,625,632,635,651,656,660,674,685,689,695,710,719,721,735,743,754,760,771,774,782,794,804,808,819,824,832,848,854,865,867,881,891,896,902,908,922,929,937,945,952,961,972,983,986,995,1010,1019,1023,1031,1044,1050,1061,1068,1075,1084,1091,1100,1105,1121,1124,1133,1139,1149,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,25,28,37,42,58,61,71,79,93,101,103,118,120,129,145,149,157,166,173,315,324,327,335,350,357,368,370,379,394,401,405,414,422,434,443,470,603,612,618,634,639,651,655,663,674,681,688,700,710,716,727,735,742,748,755,764,779,785,790,805,807,821,826,834,846,849,863,867,881,887,894,906,911,923,930,937,949,954,962,973,982,988,1000,1002,1015,1026,1028,1039,1053,1054,1067,1071,1079,1091,1099,1109,1119,1128,1134,1141,1152,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,20,28,36,43,58,60,74,80,87,97,106,115,127,128,139,148,158,165,177,315,324,335,338,352,353,361,377,380,394,397,406,418,424,437,444,599,601,614,619,632,640,647,652,661,674,684,689,699,707,719,727,734,741,748,757,767,774,783,794,799,814,820,823,835,843,853,858,873,875,887,893,903,913,919,933,937,947,958,960,975,982,986,995,1010,1012,1025,1034,1040,1045,1059,1065,1078,1082,1091,1099,1110,1117,1125,1130,1145,1155,1158,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,27,35,49,57,60,73,80,86,94,103,118,125,129,144,148,157,162,177,314,319,333,340,344,354,364,376,383,392,399,405,417,429,435,445,600,605,616,619,634,642,650,660,665,677,681,688,701,710,716,722,729,737,750,757,764,772,784,792,803,809,818,823,833,848,853,857,869,881,882,899,905,909,923,929,937,945,955,964,969,982,990,1001,1010,1018,1020,1036,1040,1046,1055,1062,1071,1084,1089,1098,1109,1115,1127,1131,1142,1153,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,31,35,43,52,60,71,83,88,94,106,117,123,132,140,150,156,162,174,189,324,327,338,344,352,364,377,384,393,403,410,413,422,431,443,466,605,615,623,634,638,648,655,662,676,683,692,699,707,717,722,730,745,747,754,771,776,787,789,797,810,815,830,834,845,856,859,872,879,888,894,902,912,920,929,938,950,958,959,976,980,988,1000,1005,1014,1020,1028,1043,1048,1058,1067,1076,1082,1090,1103,1108,1119,1122,1138,1143,1150,1157,1172	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
1,14,21,26,34,49,51,61,74,84,86,96,109,119,127,136,138,145,155,166,175,313,324,332,337,349,356,364,369,381,386,396,408,414,423,433,443,471,604,610,618,628,636,645,654,666,670,679,688,701,709,715,722,732,744,747,754,769,776,786,794,801,810,819,826,835,844,855,858,865,881,888,897,902,910,924,932,936,950,954,960,969,977,992,999,1007,1014,1023,1036,1044,1047,1055,1062,1078,1084,1088,1098,1105,1114,1130,1132,1144,1149,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,33,40,42,54,61,74,84,93,99,110,112,125,134,137,153,159,166,171,318,323,330,339,348,358,363,374,378,393,402,405,412,427,435,442,597,603,611,620,633,637,648,657,667,674,677,693,701,705,715,722,729,742,752,762,767,776,787,796,799,808,817,831,839,848,854,859,869,877,886,894,908,910,924,932,940,948,952,965,972,984,985,997,1003,1016,1021,1034,1037,1051,1061,1062,1078,1087,1091,1102,1110,1115,1122,1136,1142,1149,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,33,40,48,53,63,76,81,87,98,108,113,127,132,138,146,159,168,176,313,323,330,341,350,360,367,374,378,392,402,406,420,427,430,439,466,604,617,626,627,640,650,653,664,672,686,694,699,710,719,720,736,738,752,761,768,778,786,792,803,814,819,823,838,846,851,865,868,876,883,895,904,910,919,927,937,948,956,966,969,980,988,999,1003,1011,1026,1027,1043,1045,1057,1068,1072,1084,1093,1102,1108,1115,1128,1131,1139,1148,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,20,25,42,45,51,61,68,84,88,93,106,112,124,131,137,149,154,165,172,316,322,330,341,348,359,365,374,378,393,400,409,420,427,436,441,450,605,609,621,629,641,649,656,660,677,685,687,696,709,715,727,733,738,750,761,768,772,783,789,798,812,818,829,833,843,849,860,869,875,883,894,901,912,921,929,939,943,952,960,969,980,993,1000,1005,1014,1022,1031,1038,1046,1059,1062,1074,1081,1096,1101,1108,1116,1124,1137,1143,1147,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,29,42,47,52,62,73,84,88,98,108,113,127,130,143,150,161,166,175,185,323,332,337,347,355,369,374,379,386,399,410,415,427,435,438,597,608,614,624,627,636,646,654,664,675,678,690,696,709,714,723,733,738,751,759,771,779,788,793,800,812,820,830,837,841,855,858,873,876,882,895,906,909,925,927,942,943,951,963,970,979,987,993,1004,1017,1026,1029,1041,1049,1061,1062,1074,1086,1094,1097,1108,1117,1121,1134,1144,1153,1159,1166	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,9,18,31,36,45,53,63,74,83,91,94,106,116,124,133,138,151,161,168,178,313,323,328,343,349,357,363,374,380,389,400,407,419,427,436,440,598,604,613,623,626,637,646,660,667,674,682,687,697,706,714,727,731,739,749,759,768,779,787,793,801,813,818,826,838,842,853,858,868,877,887,898,908,913,924,931,940,945,956,964,971,984,992,996,1006,1014,1021,1033,1041,1045,1061,1062,1077,1079,1092,1099,1110,1113,1122,1130,1143,1150,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,28,36,42,59,63,75,80,91,101,108,115,124,128,141,146,162,165,177,315,321,333,339,349,356,367,374,382,391,398,405,418,426,432,438,598,603,616,621,628,639,646,654,665,670,680,688,695,710,717,725,735,741,751,761,763,772,787,790,800,812,815,830,838,848,849,859,871,881,885,891,905,910,918,927,938,950,954,967,971,978,990,999,1009,1011,1026,1028,1044,1047,1054,1070,1072,1083,1096,1102,1109,1113,1127,1137,1146,1149,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,33,36,50,55,68,73,82,91,95,105,118,127,135,139,152,159,164,175,315,321,326,342,350,358,362,372,385,394,402,407,420,427,429,440,467,602,614,625,634,640,648,653,661,670,682,691,702,710,713,728,734,740,753,758,770,772,786,794,803,810,815,827,833,842,850,862,867,877,882,897,902,915,919,926,940,943,958,967,975,984,990,996,1007,1016,1021,1032,1043,1052,1057,1069,1072,1080,1088,1096,1105,1121,1125,1134,1142,1153,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,29,38,45,51,65,75,83,87,100,105,114,121,134,139,145,158,166,176,317,320,327,341,349,355,368,372,380,387,398,404,418,427,431,441,466,608,617,618,631,640,651,655,666,673,685,694,695,707,719,723,731,743,751,758,764,773,780,797,798,813,816,824,839,842,849,857,870,878,891,896,907,909,924,929,942,945,951,959,968,976,990,997,1003,1017,1024,1032,1041,1045,1055,1067,1076,1083,1092,1104,1109,1119,1124,1133,1143,1155,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,29,36,45,54,65,72,82,90,101,110,116,127,130,141,146,153,169,173,316,322,327,343,350,353,366,376,386,387,402,411,417,421,432,444,461,603,616,619,629,642,647,655,666,673,684,693,694,707,714,720,730,743,751,756,765,772,787,791,804,808,815,828,839,840,855,858,866,877,885,893,907,908,917,933,937,949,954,962,972,979,991,995,1006,1018,1024,1034,1038,1048,1059,1065,1077,1083,1089,1099,1112,1117,1121,1138,1143,1150,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,29,38,44,57,60,73,82,92,101,110,118,124,128,140,149,158,168,172,314,322,329,341,350,353,368,377,385,390,402,403,419,421,432,437,600,607,615,622,632,637,645,659,663,676,682,689,695,704,716,725,732,739,746,759,770,777,784,796,799,809,819,824,838,841,852,864,869,877,883,897,904,909,922,932,942,944,956,967,968,981,991,1000,1008,1015,1027,1028,1042,1052,1057,1064,1073,1082,1092,1096,1111,1117,1127,1132,1145,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,21,29,36,46,58,62,70,85,91,99,104,119,121,134,140,151,161,168,171,314,320,330,338,348,354,364,371,386,393,398,408,415,424,432,440,600,603,615,626,628,640,644,658,666,675,681,691,698,708,718,724,734,742,753,757,764,777,781,796,800,806,819,829,835,845,851,859,872,878,889,893,903,915,921,927,940,947,954,960,969,978,986,996,1009,1012,1023,1031,1037,1052,1060,1065,1074,1081,1093,1101,1111,1119,1122,1131,1143,1156,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,31,39,50,55,61,73,82,87,97,109,115,127,132,138,151,156,167,178,314,319,335,342,348,354,364,374,378,387,400,403,420,427,435,444,469,602,613,623,634,640,647,659,664,672,679,694,697,705,715,720,736,745,750,754,769,776,780,796,803,808,822,828,839,843,856,860,871,881,884,895,900,916,919,933,939,950,954,967,976,979,993,995,1009,1014,1025,1031,1040,1046,1060,1067,1075,1084,1088,1098,1111,1113,1129,1132,1146,1150,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,27,40,45,52,67,70,84,90,100,106,115,127,134,137,152,157,166,177,313,325,330,338,352,355,368,371,383,389,399,404,414,426,437,439,470,607,616,618,634,638,646,654,663,672,686,691,702,711,714,726,735,741,753,758,769,776,783,792,804,813,815,825,838,840,849,858,866,876,887,899,906,916,920,928,936,946,953,960,971,984,989,997,1004,1010,1023,1030,1044,1052,1054,1068,1078,1079,1089,1100,1106,1114,1125,1138,1140,1149,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,27,38,43,59,67,74,79,92,99,104,113,127,129,138,152,159,169,178,315,319,329,338,350,358,365,371,382,389,400,406,420,425,435,441,598,603,614,624,630,636,651,658,666,669,684,691,696,711,716,725,729,740,747,760,771,776,784,796,799,814,822,825,832,845,854,860,866,874,886,895,900,910,920,932,941,950,958,960,974,979,986,995,1010,1011,1027,1032,1036,1045,1053,1065,1075,1084,1091,1099,1112,1120,1126,1135,1145,1147,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,17,18,26,38,51,54,60,70,76,90,95,107,115,127,136,143,147,154,166,175,313,321,328,341,350,355,368,376,379,386,398,406,417,421,429,442,596,605,613,621,629,641,651,657,666,670,686,690,699,711,718,726,732,743,747,758,770,777,781,797,799,813,821,831,835,844,850,860,872,877,882,895,903,908,924,930,940,944,958,964,974,981,992,996,1004,1015,1020,1034,1038,1047,1061,1066,1075,1084,1093,1104,1107,1116,1127,1137,1142,1153,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,21,33,38,48,54,64,71,84,92,100,107,114,121,134,140,147,155,163,178,315,319,333,341,351,360,366,374,380,388,399,406,413,425,429,439,597,605,615,621,632,635,648,652,661,670,686,689,703,704,712,720,729,742,751,755,769,777,786,796,800,810,821,830,833,843,854,863,866,882,891,898,900,909,922,929,939,947,958,966,975,979,991,997,1007,1011,1025,1032,1042,1050,1054,1070,1076,1081,1088,1100,1105,1118,1124,1134,1142,1151,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,29,39,45,56,63,75,80,87,99,108,112,126,133,142,150,156,163,172,181,318,328,343,346,358,365,375,378,386,395,404,417,425,433,440,461,605,616,618,631,637,649,659,663,670,685,690,700,709,712,722,735,739,753,762,771,775,784,796,802,811,822,826,833,845,852,863,872,880,886,898,906,909,917,926,942,945,954,963,974,978,987,1001,1008,1018,1026,1034,1043,1047,1058,1069,1070,1084,1095,1099,1105,1120,1122,1131,1146,1153,1162,1171,1178	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,15,22,33,39,49,55,61,70,78,89,101,109,113,126,129,142,149,158,169,177,181,324,332,343,350,355,363,374,378,389,397,409,415,427,429,438,600,607,613,619,628,641,644,657,663,676,682,691,700,705,719,726,729,741,748,756,764,776,781,789,797,806,820,826,832,846,853,859,867,876,888,893,899,913,920,932,937,947,953,961,974,984,992,1001,1004,1014,1020,1029,1040,1052,1061,1066,1072,1080,1093,1096,1109,1119,1125,1137,1146,1148,1158,1165,1173	1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,10,23,30,41,46,58,67,72,81,86,94,107,116,125,133,138,152,155,164,173,191,323,331,342,344,359,368,373,385,387,402,404,415,426,431,443,462,602,615,618,626,639,650,654,663,670,686,688,698,707,714,727,734,739,746,762,768,773,781,796,803,807,822,824,834,843,852,857,871,875,891,892,906,913,917,927,935,946,957,965,970,982,991,996,1004,1016,1021,1034,1042,1046,1054,1068,1077,1087,1095,1096,1112,1118,1126,1133,1142,1153,1161,1173,1176	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
5,15,25,26,37,45,54,61,72,83,87,99,108,113,125,131,139,150,156,169,171,183,321,330,339,345,356,364,374,380,390,401,410,413,429,437,441,599,607,617,622,629,643,647,660,661,673,678,694,698,709,717,725,731,738,754,757,766,773,784,796,799,806,815,828,839,846,851,863,867,878,886,896,901,916,918,925,941,946,954,961,970,984,989,1000,1005,1011,1024,1032,1043,1046,1058,1064,1071,1080,1093,1103,1110,1120,1121,1134,1143,1153,1159,1169	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,24,33,41,50,59,64,71,81,90,98,102,119,122,128,144,151,160,164,178,184,326,330,341,345,355,367,372,380,388,400,411,417,421,432,446,463,608,616,622,629,636,645,653,667,672,679,689,697,707,714,721,734,741,752,759,769,771,788,797,804,810,818,827,838,842,856,859,866,878,887,893,900,912,919,933,939,944,959,962,971,978,990,997,1003,1017,1024,1031,1039,1045,1055,1062,1071,1085,1094,1101,1105,1115,1125,1130,1147,1153,1163,1167	0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,10,23,27,36,45,56,64,71,82,92,101,107,114,123,134,138,149,161,168,177,180,326,334,342,348,354,361,369,379,391,400,405,420,426,435,446,449,609,617,620,626,642,643,655,662,674,684,689,701,711,713,721,731,738,751,761,769,776,781,795,797,807,815,826,837,848,855,858,873,875,890,899,901,911,921,928,935,942,959,964,976,980,986,999,1002,1011,1025,1034,1038,1048,1058,1065,1075,1084,1090,1097,1108,1120,1123,1133,1140,1153,1157,1165	0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
7,11,20,29,34,44,54,67,70,82,88,95,108,119,125,134,140,151,158,162,175,196,326,332,338,350,354,364,369,385,388,400,403,419,425,436,442,460,608,611,618,634,642,647,659,667,671,685,689,701,710,717,721,731,740,751,758,770,779,787,795,797,810,821,829,835,848,856,857,871,875,885,897,901,914,919,928,939,943,954,967,975,977,991,995,1004,1012,1021,1036,1040,1046,1053,1066,1073,1086,1091,1104,1111,1116,1125,1134,1139,1151,1158,1167,1175	1,1,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,19,29,38,43,57,64,69,83,86,94,107,115,124,133,144,146,153,166,178,182,320,331,337,349,358,362,370,384,389,395,411,412,422,433,443,452,608,613,625,628,640,645,658,668,673,678,688,700,710,718,726,733,739,754,761,768,773,785,795,805,810,817,825,836,840,855,862,870,879,883,899,903,908,922,926,939,949,957,967,974,983,992,999,1006,1018,1020,1030,1040,1049,1054,1067,1074,1084,1093,1097,1105,1115,1129,1135,1140,1154,1160,1165	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
6,13,19,30,37,47,59,62,76,77,88,96,107,118,121,128,143,148,159,162,173,314,323,331,343,350,356,365,371,378,393,399,405,419,428,434,440,596,607,610,623,627,640,648,656,667,673,679,692,700,711,713,720,731,743,748,761,769,775,787,795,799,808,818,827,837,848,857,865,873,877,887,899,903,913,918,932,940,944,954,965,975,984,991,995,1008,1013,1020,1035,1039,1050,1058,1068,1073,1079,1092,1102,1108,1114,1124,1138,1139,1147,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,32,35,48,57,65,74,79,86,98,108,118,124,133,136,151,161,164,174,191,325,331,337,352,359,361,374,385,393,403,411,415,422,429,444,598,608,613,620,633,639,645,655,663,675,682,691,696,704,719,723,734,740,752,758,764,779,783,797,802,811,818,830,835,848,852,860,868,877,883,898,902,914,925,931,941,950,957,959,968,978,993,997,1004,1019,1020,1035,1044,1050,1055,1069,1075,1084,1089,1099,1108,1113,1129,1135,1139,1152,1161,1172,1176	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
6,15,17,31,39,50,56,67,72,78,92,101,109,117,120,130,142,147,156,163,179,184,321,327,336,348,355,362,376,385,389,402,407,416,426,429,439,471,604,610,622,629,643,651,656,669,674,685,688,698,708,718,725,732,744,752,757,771,778,781,791,801,812,819,827,838,842,855,860,867,876,884,891,900,910,919,929,938,946,954,966,969,977,990,1000,1007,1016,1027,1034,1037,1049,1059,1067,1077,1083,1095,1096,1104,1121,1127,1132,1144,1151,1157,1168	1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,18,27,41,46,57,64,70,84,86,98,106,116,121,136,140,147,153,165,179,187,322,334,337,349,355,368,376,381,387,401,407,415,428,430,438,600,608,614,621,627,638,646,654,668,676,678,686,695,709,717,720,737,743,747,761,769,773,781,794,802,807,815,827,834,847,849,864,866,879,883,894,902,911,924,930,941,948,954,966,973,981,993,995,1005,1015,1021,1034,1038,1048,1058,1066,1078,1082,1089,1102,1108,1121,1128,1130,1142,1155,1156,1172,1178	0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,18,31,35,45,54,65,70,85,86,96,110,112,121,135,143,145,157,165,171,181,319,333,343,349,359,367,370,383,387,400,409,415,423,433,445,459,606,616,624,633,643,651,660,666,676,682,694,702,707,717,726,733,744,750,756,764,777,787,789,804,810,818,824,832,847,853,862,867,878,888,891,901,915,921,927,937,949,957,963,976,981,985,1001,1006,1018,1024,1030,1037,1049,1062,1069,1076,1081,1089,1099,1108,1114,1127,1138,1145,1149,1163,1166,1176	1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,12,20,33,36,49,59,66,70,82,88,96,103,111,125,131,142,150,158,164,178,183,324,333,338,344,354,368,376,383,390,397,408,414,424,437,440,597,603,616,622,627,636,646,655,667,671,680,689,698,707,719,727,737,741,746,761,766,778,785,793,801,813,814,831,834,841,855,859,868,882,884,897,901,912,920,929,936,950,959,965,975,982,990,1002,1009,1010,1022,1028,1043,1047,1056,1068,1077,1086,1096,1102,1110,1113,1125,1133,1144,1153,1160,1169	0,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0
4,10,23,30,37,48,57,63,68,83,88,98,108,118,127,128,139,149,160,164,178,187,321,329,338,346,360,362,373,378,389,399,411,413,421,436,444,455,606,615,621,628,642,644,660,664,670,685,691,701,706,717,727,736,742,748,756,767,771,786,793,801,808,817,830,836,846,852,865,868,876,888,897,905,914,923,930,935,945,956,962,972,981,986,1001,1004,1010,1026,1028,1044,1048,1059,1064,1070,1080,1092,1103,1112,1121,1122,1134,1146,1153,1160,1170,1177	0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,20,25,35,48,52,67,68,82,86,99,103,116,126,131,137,152,155,166,178,316,326,327,339,351,360,367,370,381,389,395,406,420,423,430,444,596,608,615,620,630,640,646,659,662,676,684,694,699,708,718,723,732,744,751,761,769,779,782,791,805,808,818,827,831,845,851,859,868,876,883,891,906,914,924,929,937,948,957,968,970,979,986,999,1010,1016,1027,1035,1038,1049,1061,1066,1076,1080,1091,1099,1108,1119,1126,1135,1144,1150,1163,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,29,38,47,51,68,71,76,93,100,105,111,122,129,141,148,154,170,175,313,326,328,342,347,359,361,370,381,389,399,407,414,425,437,438,600,607,611,620,629,635,648,657,662,670,677,686,697,707,713,724,730,739,754,760,766,776,786,788,805,811,816,830,832,840,850,860,868,878,884,891,907,916,925,932,942,948,956,965,973,984,991,1001,1009,1015,1021,1028,1042,1047,1059,1069,1074,1081,1088,1099,1105,1121,1126,1132,1142,1150,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,29,35,44,54,66,75,80,93,100,104,112,119,129,143,145,159,162,171,315,320,334,340,348,355,365,372,384,388,403,409,418,425,437,441,451,606,610,618,627,635,646,660,662,672,681,691,701,705,716,722,733,741,747,756,765,776,781,791,803,806,818,824,835,841,848,865,866,876,890,899,906,912,919,925,940,949,956,967,969,984,987,994,1009,1013,1019,1032,1039,1053,1054,1062,1078,1083,1089,1096,1108,1119,1126,1138,1141,1149,1159,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,27,34,49,58,60,74,85,86,99,110,118,121,134,136,151,159,167,173,316,319,328,337,352,353,369,372,380,387,396,405,418,422,434,440,597,601,612,618,633,638,650,653,666,672,681,694,697,711,714,721,732,740,753,758,770,774,784,789,801,807,818,828,831,841,853,862,868,881,891,894,905,909,919,930,934,950,959,965,971,984,991,996,1004,1013,1022,1035,1039,1050,1057,1066,1073,1079,1094,1103,1108,1115,1127,1137,1139,1148,1157,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,22,26,39,47,56,63,72,77,89,101,109,118,125,131,139,150,156,168,172,315,319,330,339,344,353,363,374,382,392,402,403,418,422,431,443,599,608,613,618,634,638,646,652,664,675,681,691,698,706,717,727,735,743,747,756,764,777,780,795,798,811,815,825,837,846,853,861,874,879,886,896,906,910,922,927,940,946,959,962,973,984,987,994,1010,1018,1024,1030,1039,1050,1053,1064,1073,1086,1091,1104,1112,1121,1122,1130,1139,1155,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,33,40,50,56,64,71,78,90,100,110,114,124,135,141,149,158,165,178,315,322,330,341,352,358,365,374,382,389,402,406,415,426,435,441,600,606,614,621,628,638,645,660,662,677,680,688,700,703,718,720,731,741,748,762,768,779,781,790,802,813,818,826,835,848,850,858,867,880,890,892,903,908,922,929,942,950,957,960,973,979,988,996,1010,1018,1022,1030,1041,1049,1060,1067,1072,1082,1093,1100,1112,1114,1124,1133,1147,1155,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,19,29,42,45,52,61,68,81,93,100,102,116,126,133,143,150,158,169,171,315,326,330,338,350,356,368,372,380,393,397,406,415,428,434,440,599,602,615,625,628,639,646,658,666,672,681,687,701,711,716,727,732,740,751,760,771,774,786,792,803,805,816,823,833,841,851,861,868,876,890,899,906,909,923,932,940,949,952,960,973,984,985,997,1003,1013,1019,1033,1039,1048,1054,1069,1073,1084,1090,1096,1104,1116,1124,1133,1145,1148,1160,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,27,35,44,53,64,73,83,86,97,108,111,127,133,136,149,161,166,172,316,325,330,339,350,357,369,377,386,394,399,411,412,425,432,445,452,601,611,620,631,635,646,657,662,672,682,687,703,706,712,725,730,741,751,756,763,775,781,793,798,809,814,829,835,841,851,865,871,875,888,899,902,909,922,933,936,950,957,966,968,981,986,1001,1005,1011,1023,1033,1044,1051,1059,1069,1072,1083,1091,1098,1105,1113,1127,1136,1145,1149,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,30,34,47,53,65,69,83,88,94,110,117,127,132,140,146,154,163,173,181,323,331,338,346,355,367,375,381,393,399,411,416,421,437,443,466,601,613,620,634,636,647,659,662,672,680,691,696,708,719,722,732,741,752,754,768,776,786,791,805,808,821,824,839,848,855,861,873,875,884,895,904,910,920,925,941,945,955,961,969,984,987,996,1004,1014,1020,1034,1038,1045,1054,1062,1076,1084,1094,1099,1108,1115,1125,1136,1145,1147,1162,1165	0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,14,21,33,37,49,56,61,76,84,90,102,107,116,125,131,137,150,158,165,176,317,321,331,336,351,355,368,370,381,392,401,407,419,426,434,438,599,605,611,621,628,641,650,660,661,676,678,694,695,708,713,724,732,745,747,763,766,778,785,789,804,813,816,824,835,842,852,862,873,878,887,892,907,911,918,933,938,948,958,962,972,981,989,996,1006,1012,1026,1034,1036,1047,1055,1064,1074,1083,1088,1098,1105,1116,1130,1136,1140,1152,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,33,37,43,56,64,74,84,91,101,104,112,125,136,137,152,155,169,174,315,325,333,341,345,354,362,375,379,389,399,408,415,427,435,444,453,603,615,618,629,637,647,656,666,676,682,691,703,710,717,724,733,745,750,763,771,776,787,790,804,810,822,828,839,844,849,864,871,882,885,893,906,915,923,932,937,948,954,966,971,981,985,994,1009,1017,1025,1031,1038,1050,1059,1069,1075,1087,1095,1100,1105,1114,1129,1138,1139,1151,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,30,34,48,58,64,70,77,91,101,103,117,122,129,144,148,158,167,173,318,325,335,336,346,355,369,370,383,393,397,406,415,427,431,441,597,602,614,618,627,640,650,657,666,670,681,694,702,707,713,725,732,738,749,761,764,778,784,791,805,810,818,826,836,840,853,864,872,878,883,891,899,908,923,927,941,947,958,962,974,981,988,998,1005,1013,1023,1028,1044,1046,1060,1068,1073,1082,1092,1098,1105,1116,1123,1131,1139,1155,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,19,27,36,44,54,67,74,81,90,97,102,113,122,131,144,148,158,166,174,316,319,331,339,345,358,365,375,386,388,403,406,418,426,437,443,596,608,612,622,628,636,649,654,660,669,682,692,703,711,717,722,729,742,747,759,767,774,783,795,800,813,820,826,837,848,849,859,871,874,885,899,905,909,922,929,941,949,955,964,974,978,990,1001,1003,1014,1022,1034,1042,1047,1061,1068,1070,1087,1093,1098,1111,1120,1127,1138,1146,1155,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,20,25,34,46,56,61,73,84,90,96,107,115,128,131,142,146,156,164,177,179,323,331,336,351,356,367,369,384,388,396,405,418,421,430,439,600,607,610,621,628,641,646,660,669,671,684,690,696,706,718,721,734,743,748,761,766,773,783,793,803,809,814,825,837,843,852,861,873,875,882,892,902,912,920,932,939,947,955,961,972,981,986,1001,1005,1017,1025,1029,1040,1052,1062,1063,1072,1079,1096,1097,1109,1113,1122,1137,1139,1151,1156,1171	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,14,23,32,39,47,59,65,73,80,91,100,109,119,126,129,137,148,161,169,172,316,320,328,340,344,353,363,375,380,389,397,405,414,422,435,445,597,601,616,622,634,641,651,660,668,674,678,687,697,707,714,726,734,745,750,755,763,775,782,794,800,807,820,829,838,847,850,857,869,877,889,896,900,916,924,931,938,943,957,964,968,978,989,1000,1005,1015,1019,1028,1042,1051,1061,1067,1079,1085,1095,1100,1106,1113,1122,1135,1142,1151,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,24,33,38,45,52,62,70,78,88,97,110,115,124,128,145,146,155,166,176,315,322,330,337,345,353,361,371,381,389,402,411,418,424,435,442,598,606,612,625,631,640,649,658,661,670,685,694,697,703,713,720,729,739,754,761,771,774,782,797,801,809,814,824,838,845,854,859,867,874,883,899,900,915,920,925,938,949,951,966,975,979,992,995,1004,1015,1025,1028,1040,1047,1060,1063,1075,1081,1096,1098,1108,1117,1123,1132,1142,1154,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,33,35,46,55,63,68,81,91,98,108,114,125,135,143,150,161,166,178,317,322,331,337,346,358,362,373,382,387,402,407,413,421,437,438,600,602,616,626,632,638,647,658,668,673,683,687,698,709,719,727,736,743,750,758,767,775,781,790,798,809,817,830,836,847,854,864,870,879,884,895,900,912,918,926,937,946,957,961,972,979,992,995,1008,1012,1022,1030,1036,1048,1059,1068,1073,1082,1088,1098,1110,1120,1123,1138,1146,1151,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,26,41,48,54,59,69,83,87,99,105,116,126,129,143,147,154,163,172,314,324,332,337,348,353,369,373,378,394,403,407,415,425,432,438,453,604,615,621,627,638,649,657,667,675,682,691,703,706,720,721,730,740,752,760,766,773,788,793,802,812,818,830,838,845,850,859,870,879,887,895,903,913,920,932,936,950,951,966,971,979,990,995,1003,1013,1025,1035,1041,1045,1056,1068,1071,1080,1090,1097,1108,1120,1126,1136,1145,1147,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,28,35,42,52,63,75,85,90,94,109,112,126,134,141,151,159,170,178,314,324,333,343,349,356,366,371,378,391,398,411,417,424,432,438,461,608,614,624,631,635,650,653,667,673,678,690,703,705,716,720,737,745,750,762,769,773,787,793,799,809,818,824,837,843,852,865,869,880,885,893,900,911,920,932,942,947,958,966,971,983,993,995,1005,1013,1019,1036,1041,1048,1061,1067,1070,1080,1087,1098,1110,1120,1125,1133,1140,1147,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,31,35,49,52,65,73,79,87,94,106,114,119,135,140,146,157,165,171,316,319,330,338,347,355,361,371,382,392,401,411,414,428,429,440,450,608,615,619,634,640,645,660,663,675,680,689,699,708,715,727,733,742,753,758,766,775,788,792,800,808,816,830,837,845,854,861,867,880,890,891,900,909,918,929,942,943,958,959,972,978,986,1001,1010,1018,1019,1036,1037,1047,1056,1066,1072,1084,1094,1104,1107,1120,1123,1136,1143,1148,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,24,27,41,44,53,62,76,82,91,94,109,117,120,130,138,147,156,166,170,315,326,327,338,344,354,364,372,381,387,400,404,418,427,437,439,466,608,616,623,633,636,651,653,661,669,683,686,701,704,712,725,735,738,754,759,763,777,785,791,801,809,820,825,836,841,849,858,869,882,887,894,906,910,919,927,935,945,951,959,973,977,989,994,1003,1014,1027,1028,1039,1045,1053,1066,1076,1079,1092,1099,1105,1114,1129,1132,1144,1148,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,30,37,43,51,63,69,83,92,94,107,118,127,131,139,149,155,170,173,318,324,334,343,348,356,361,374,379,392,396,406,413,428,436,440,596,608,610,622,629,635,651,654,662,677,684,686,699,706,715,721,731,738,753,762,763,777,781,796,799,808,816,826,831,848,855,859,866,875,884,896,904,915,925,932,935,944,954,963,970,982,986,995,1010,1014,1027,1029,1043,1049,1058,1062,1071,1085,1089,1103,1111,1118,1124,1133,1145,1154,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,31,40,42,59,64,74,81,91,102,108,118,127,131,138,153,156,166,174,316,323,330,342,347,359,362,374,380,388,397,408,417,423,432,442,600,601,612,618,630,643,650,656,661,677,679,693,699,711,719,723,732,740,749,761,767,772,781,789,805,812,820,824,835,845,856,858,867,878,886,894,907,911,919,927,938,947,959,964,972,979,990,997,1004,1015,1027,1035,1041,1045,1054,1063,1077,1084,1094,1100,1109,1114,1124,1134,1139,1154,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,33,42,45,56,65,71,78,91,96,104,112,127,128,143,146,154,163,177,314,318,330,343,350,353,361,372,383,391,395,408,415,423,437,443,599,604,613,622,626,640,651,652,663,672,685,687,697,706,713,721,732,740,751,761,770,773,781,793,798,812,821,830,832,840,852,857,867,876,884,892,901,912,917,926,937,950,952,967,970,984,987,998,1006,1012,1023,1032,1041,1048,1061,1064,1074,1082,1088,1098,1106,1116,1125,1130,1139,1154,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,30,34,44,52,61,76,80,92,95,106,114,121,132,140,153,157,169,178,317,325,328,343,351,357,368,376,385,393,401,407,412,423,430,437,470,607,614,620,631,638,647,656,669,676,684,686,702,709,720,723,733,746,747,762,768,776,782,795,801,809,814,826,839,845,852,858,866,878,888,891,907,914,924,929,942,944,954,960,975,979,992,995,1002,1017,1025,1029,1041,1052,1056,1066,1072,1083,1091,1100,1108,1115,1124,1138,1143,1150,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,33,39,48,54,61,70,84,92,99,108,119,126,129,137,151,154,170,171,315,318,332,335,349,353,363,371,379,390,399,409,412,428,431,443,466,608,613,620,628,643,648,660,662,672,684,688,702,709,717,720,736,741,747,756,767,773,788,795,801,807,822,830,839,842,851,857,865,877,886,897,904,912,922,929,940,945,956,968,969,982,992,1000,1007,1016,1022,1032,1037,1048,1058,1063,1078,1083,1092,1101,1108,1113,1123,1135,1140,1149,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,27,36,46,56,64,74,84,87,101,108,118,126,132,143,151,160,163,173,180,325,328,341,348,354,367,376,379,389,398,412,418,425,429,439,596,607,610,625,634,637,649,652,660,670,681,691,701,704,715,722,734,741,750,755,767,779,787,789,798,812,821,831,835,844,849,861,868,875,887,895,908,912,921,928,941,949,952,960,970,976,989,998,1004,1019,1020,1032,1041,1049,1058,1066,1078,1084,1090,1104,1111,1115,1129,1135,1142,1148,1157,1172,1174	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,23,32,35,48,57,68,73,81,86,101,106,112,127,130,137,149,154,167,174,201,323,330,335,350,358,364,375,378,392,395,407,420,423,433,440,469,601,617,622,631,635,646,657,668,669,682,692,698,705,714,725,734,743,750,758,764,774,780,789,802,812,821,825,832,846,850,858,869,879,884,898,902,912,924,930,942,944,954,964,975,984,988,998,1007,1014,1021,1031,1039,1045,1061,1065,1076,1086,1092,1096,1110,1113,1122,1131,1146,1155,1156,1166,1177	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,20,32,40,46,53,60,75,78,87,100,108,112,121,134,138,146,157,166,170,190,318,332,336,345,358,369,374,381,392,399,407,416,428,432,445,463,603,612,621,634,642,647,653,665,675,684,691,695,708,719,725,731,742,748,762,768,779,781,793,802,810,820,828,833,841,855,865,870,880,886,896,905,912,921,925,935,946,956,967,968,980,986,996,1007,1015,1023,1035,1038,1048,1057,1063,1073,1082,1091,1100,1112,1118,1125,1133,1145,1155,1159,1169,1175	1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,9,21,30,38,45,58,67,74,83,86,97,108,116,123,129,137,151,160,169,174,185,326,327,339,345,354,361,374,381,393,398,411,413,427,437,442,597,607,615,622,628,636,647,653,661,669,680,689,702,711,720,722,735,737,746,756,766,772,785,790,802,810,818,825,833,848,851,860,865,879,884,893,904,910,919,931,942,947,959,961,971,979,986,1000,1008,1012,1019,1035,1042,1046,1062,1064,1078,1083,1094,1096,1110,1119,1130,1131,1145,1148,1157,1172	0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,20,30,35,45,55,64,75,79,88,97,106,117,127,130,143,153,160,165,175,182,323,328,343,346,354,363,377,383,391,397,404,418,425,436,442,596,607,616,618,627,640,651,658,660,671,686,688,698,708,716,722,733,739,754,755,767,773,780,794,800,813,819,831,835,843,855,857,869,877,890,895,904,908,922,927,942,943,952,962,975,977,987,994,1004,1012,1019,1029,1044,1045,1055,1070,1072,1083,1087,1102,1106,1121,1128,1135,1143,1151,1160,1167	0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,22,25,37,47,56,65,75,83,87,97,110,117,120,133,143,146,153,167,178,186,321,331,341,346,359,364,371,383,392,398,410,419,422,431,439,598,607,617,621,634,639,650,653,664,669,679,688,697,709,715,726,734,739,749,756,770,778,783,790,805,810,819,825,832,845,854,860,869,881,885,897,903,910,918,929,934,946,953,966,972,980,987,994,1004,1016,1022,1033,1040,1052,1054,1067,1071,1086,1090,1102,1108,1115,1130,1132,1143,1150,1160,1172,1176	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,22,27,35,45,53,62,73,81,89,95,104,116,122,131,138,148,155,162,172,179,326,335,342,346,360,368,371,378,391,395,408,414,423,437,438,600,609,610,621,633,639,649,655,663,677,682,691,701,704,718,722,732,739,753,758,770,776,787,792,798,807,820,824,839,843,854,864,873,876,883,893,903,913,917,931,940,942,959,964,973,983,991,994,1003,1017,1026,1034,1044,1050,1057,1069,1073,1081,1095,1097,1107,1115,1126,1132,1145,1153,1157,1168,1174	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
3,13,20,33,42,45,57,60,69,82,93,96,110,115,122,130,144,152,154,165,173,190,322,331,339,346,356,365,377,385,387,400,408,420,426,429,438,600,602,612,626,631,637,645,655,668,670,683,688,700,709,719,725,732,737,753,760,766,774,783,794,800,807,819,824,832,843,853,859,873,881,884,899,901,908,916,927,939,943,951,964,971,978,988,997,1004,1018,1021,1029,1038,1048,1055,1069,1071,1079,1090,1100,1111,1116,1128,1134,1146,1148,1159,1168,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,18,31,42,43,54,66,72,78,87,101,108,117,127,135,143,149,162,169,173,317,322,329,341,351,354,362,373,378,390,398,409,420,422,433,441,465,606,614,619,628,636,643,660,666,671,681,688,698,706,716,728,734,743,749,760,766,778,781,793,798,812,822,829,838,840,851,862,867,874,885,893,900,913,918,931,934,945,954,965,971,978,987,1002,1003,1015,1023,1028,1036,1053,1054,1063,1074,1082,1096,1098,1106,1117,1127,1137,1146,1147,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,20,29,38,48,56,66,69,83,89,95,106,114,120,134,143,146,154,168,173,191,318,329,341,349,354,365,371,384,395,398,411,419,423,431,440,452,606,615,618,632,641,643,653,665,670,680,692,700,710,718,720,730,742,746,754,769,776,785,792,799,812,819,830,835,847,850,862,873,875,883,891,903,914,923,931,937,946,959,961,975,978,991,1001,1005,1012,1023,1034,1041,1048,1057,1068,1076,1085,1088,1098,1106,1119,1127,1135,1141,1151,1163,1169,1177	1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,18,26,39,43,52,65,73,85,93,102,106,112,127,132,138,150,154,165,173,186,326,330,338,348,354,368,374,383,389,399,412,417,429,431,446,457,604,614,624,632,640,649,652,662,675,682,691,698,705,719,728,733,745,752,754,769,776,787,791,805,812,817,826,837,844,851,857,873,881,883,893,905,913,918,933,940,944,957,959,972,983,989,998,1009,1013,1022,1034,1044,1051,1058,1067,1073,1083,1090,1102,1107,1115,1129,1131,1144,1148,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,15,17,33,34,45,57,66,68,78,93,101,110,114,126,136,144,148,154,170,175,181,321,332,335,344,360,364,374,384,389,398,407,419,423,433,438,597,609,615,620,633,639,648,657,662,670,678,690,697,706,719,725,731,743,748,759,765,777,788,793,802,810,816,826,839,842,852,863,867,874,887,895,906,912,920,926,936,947,956,966,973,981,989,997,1005,1010,1025,1033,1036,1053,1059,1069,1070,1084,1090,1096,1107,1120,1126,1133,1140,1149,1159,1171,1173	1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,21,32,36,43,55,63,72,84,91,94,110,118,127,131,136,151,154,170,172,189,322,329,340,348,360,363,375,386,393,403,408,419,425,432,441,596,607,614,624,632,637,648,655,661,672,681,688,701,709,718,721,733,744,752,758,765,778,780,794,802,807,821,823,836,841,849,862,873,881,883,898,903,916,919,929,938,946,953,967,971,980,993,998,1003,1011,1020,1028,1043,1050,1061,1065,1075,1083,1091,1099,1108,1119,1121,1132,1141,1155,1164,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,20,28,36,46,56,67,73,78,92,95,103,114,125,136,144,153,154,165,175,195,320,329,341,346,354,363,369,385,387,401,406,418,428,436,441,469,603,612,622,629,636,646,655,666,672,681,687,699,707,716,723,731,743,747,759,770,775,782,793,804,810,815,826,834,844,857,860,871,879,883,899,907,911,920,932,937,949,957,960,969,983,987,997,1008,1016,1019,1034,1043,1052,1053,1069,1072,1081,1095,1102,1105,1116,1129,1131,1139,1147,1160,1164	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,20,25,41,50,58,66,76,77,92,101,107,115,125,130,139,153,154,163,178,182,325,332,341,347,358,365,372,385,390,398,411,419,428,434,440,597,604,611,625,627,635,647,656,660,669,684,688,701,707,719,723,734,740,746,757,767,775,785,796,798,811,821,831,833,847,854,864,866,881,882,892,902,916,918,927,936,943,955,965,970,984,991,1001,1005,1018,1024,1030,1042,1050,1054,1068,1075,1083,1092,1099,1107,1114,1122,1135,1143,1153,1158,1167,1178	1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,17,26,42,51,58,61,70,81,88,98,105,113,125,133,138,151,160,168,177,315,324,329,343,346,357,364,373,380,387,401,407,413,425,430,442,459,607,613,622,633,641,647,659,663,670,684,694,701,709,718,726,731,745,749,761,765,773,788,791,799,805,821,827,833,848,853,859,867,877,884,895,908,909,918,931,941,947,952,961,974,978,989,999,1009,1014,1024,1029,1037,1046,1056,1067,1076,1084,1095,1100,1110,1113,1122,1138,1139,1152,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,20,31,42,50,54,59,74,79,93,97,104,119,126,134,140,147,155,170,171,313,326,333,343,346,355,363,375,382,388,400,407,414,428,434,443,447,601,617,618,627,636,648,655,668,676,682,688,700,706,712,722,732,741,749,759,771,776,785,792,805,813,819,828,834,840,850,858,872,876,887,891,907,914,924,927,937,949,952,960,970,976,987,995,1003,1011,1020,1029,1040,1045,1056,1064,1078,1086,1091,1099,1111,1115,1125,1136,1140,1153,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,17,22,25,38,49,57,64,76,82,89,94,108,116,120,133,143,147,161,169,173,318,319,329,342,345,357,362,373,382,390,398,412,416,427,432,441,596,608,613,620,630,637,647,654,665,674,682,686,702,711,716,725,731,741,747,760,765,779,787,796,800,814,817,830,839,846,856,857,869,882,890,893,905,913,920,932,934,942,953,963,969,976,988,994,1005,1011,1024,1031,1042,1047,1055,1063,1075,1084,1088,1103,1112,1118,1129,1135,1146,1155,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,29,35,47,59,67,71,85,89,101,103,117,127,134,140,146,154,165,177,314,321,333,335,346,357,364,377,385,392,402,407,418,424,432,440,465,607,613,623,630,636,647,655,666,672,683,688,702,711,712,728,732,741,754,755,766,778,788,795,799,807,821,827,839,848,856,857,866,874,890,899,900,915,918,927,935,946,958,961,970,980,993,1000,1007,1017,1025,1029,1041,1051,1058,1062,1075,1080,1091,1096,1110,1117,1128,1135,1143,1150,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,28,40,43,59,66,76,83,87,98,105,113,128,133,138,150,156,163,173,316,323,328,340,346,354,365,374,381,393,395,408,415,429,436,443,458,608,613,624,629,642,648,660,664,673,678,692,703,707,712,728,733,738,751,761,764,778,787,793,802,809,816,824,832,845,849,857,868,876,883,896,900,911,922,926,939,944,953,965,975,977,989,996,1009,1013,1024,1034,1043,1049,1055,1064,1070,1084,1094,1098,1109,1119,1129,1135,1143,1150,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,28,41,44,55,62,70,80,93,97,109,116,120,131,143,147,156,163,172,316,323,329,336,344,354,364,372,383,388,399,410,420,427,435,438,599,606,610,625,633,638,650,654,661,671,682,687,699,708,716,723,729,743,751,760,764,776,786,791,800,809,815,825,837,846,851,860,868,876,888,893,906,912,921,928,936,947,951,967,976,977,991,996,1004,1018,1021,1030,1043,1052,1053,1066,1077,1079,1090,1099,1112,1120,1122,1130,1143,1154,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,29,37,45,58,60,69,81,91,94,102,118,122,133,142,148,162,170,176,313,326,327,340,345,355,368,377,381,390,401,410,417,429,433,443,600,608,610,621,633,637,644,660,667,677,683,692,701,706,719,721,732,737,750,756,769,774,788,797,800,806,815,823,832,840,855,859,873,875,887,897,906,908,920,932,936,949,954,967,975,982,987,998,1007,1018,1023,1034,1042,1050,1054,1067,1076,1081,1096,1098,1112,1115,1127,1138,1140,1150,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,29,35,44,54,63,75,81,90,94,103,114,123,135,138,145,155,163,174,313,323,333,336,351,360,362,370,383,392,397,404,420,423,430,443,469,606,614,621,627,636,650,655,662,673,683,694,696,706,712,723,736,742,754,763,771,773,782,790,801,806,820,826,838,842,852,859,867,882,885,894,906,912,921,932,935,948,958,965,969,977,990,996,1003,1015,1021,1030,1037,1053,1055,1066,1077,1083,1090,1104,1112,1113,1123,1133,1139,1155,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,23,26,38,45,53,62,70,79,85,101,106,113,119,130,141,148,159,169,178,179,319,335,341,351,358,366,376,378,392,396,407,412,428,437,441,451,609,612,621,629,638,648,656,662,675,685,687,701,710,715,726,731,742,747,756,765,777,782,794,798,812,818,826,837,846,852,865,868,882,883,892,903,912,922,929,936,946,957,961,969,978,985,998,1006,1013,1023,1032,1038,1052,1061,1064,1076,1081,1090,1097,1112,1118,1128,1137,1143,1155,1164,1172,1174	1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,14,19,29,39,43,56,67,75,76,91,102,107,117,125,136,142,153,157,168,172,317,320,329,340,346,353,361,370,385,392,395,404,420,425,434,446,600,602,610,621,627,641,644,654,662,670,682,690,695,707,714,722,736,745,749,756,770,774,785,796,803,811,822,824,836,843,849,865,868,876,884,891,900,914,925,931,934,943,955,964,972,981,989,994,1003,1011,1019,1028,1044,1052,1058,1066,1072,1083,1095,1097,1110,1121,1123,1132,1147,1152,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,28,40,49,58,63,74,81,90,99,108,115,119,133,136,147,160,169,178,318,325,332,343,349,356,368,373,382,388,396,409,413,429,431,438,457,605,613,622,628,641,651,655,662,674,685,687,698,711,714,720,730,741,750,760,764,778,787,790,801,808,815,830,839,843,854,863,873,874,890,898,905,912,923,928,936,945,956,965,974,978,989,1000,1003,1017,1024,1029,1037,1046,1059,1068,1075,1086,1088,1097,1105,1121,1129,1130,1144,1149,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,29,41,44,56,62,74,83,90,99,109,112,123,136,144,150,157,163,175,315,324,333,343,347,356,367,377,378,387,400,406,414,426,435,439,463,608,616,619,629,642,646,656,667,675,683,689,701,710,713,721,729,743,746,758,765,776,786,793,803,808,815,824,835,844,855,862,867,877,886,898,907,912,925,927,941,950,958,961,974,980,985,996,1009,1013,1026,1027,1043,1052,1054,1065,1072,1082,1088,1102,1107,1117,1127,1137,1145,1149,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,25,37,50,53,67,71,80,86,100,102,112,119,132,137,147,156,170,174,317,319,335,339,346,360,365,369,384,387,400,404,413,423,432,439,600,603,611,619,629,641,645,655,668,675,685,692,701,705,716,721,733,740,749,760,767,776,786,791,804,811,818,826,835,845,855,860,871,881,888,893,899,913,924,933,942,949,956,966,969,984,986,1000,1003,1017,1027,1036,1041,1045,1061,1063,1076,1082,1089,1098,1107,1115,1129,1131,1141,1155,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,29,40,42,53,64,72,81,86,97,105,115,125,134,141,153,157,169,171,183,323,330,341,348,355,366,373,383,387,402,409,412,427,433,443,455,602,613,626,628,642,648,659,660,677,681,690,698,708,714,728,730,744,747,759,767,778,786,792,800,810,814,830,839,843,852,861,872,880,885,898,906,908,918,931,937,946,954,960,976,983,993,998,1003,1011,1025,1034,1041,1049,1057,1065,1073,1086,1091,1103,1109,1118,1128,1136,1145,1153,1159,1170	1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,10,24,32,42,49,54,67,71,84,89,99,108,116,122,135,139,147,157,170,177,316,322,329,342,347,354,365,372,380,386,397,409,415,422,432,445,453,603,612,619,627,637,647,658,667,670,684,687,700,704,717,726,730,745,746,757,768,774,786,788,797,808,817,830,833,844,855,864,871,879,884,896,903,915,923,927,940,944,952,962,976,983,990,1001,1006,1015,1023,1033,1041,1049,1061,1069,1071,1087,1093,1101,1105,1120,1123,1137,1146,1151,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,28,39,47,53,61,71,80,86,95,108,118,120,128,144,147,154,163,178,314,319,333,336,344,359,369,370,386,391,402,408,418,425,429,445,599,604,616,619,630,642,645,658,661,676,683,693,694,707,718,721,730,745,750,758,763,778,781,793,798,806,815,826,839,846,855,865,871,874,887,893,899,911,918,926,934,946,953,960,970,982,989,997,1003,1013,1025,1032,1042,1050,1056,1066,1079,1085,1096,1098,1109,1117,1122,1133,1145,1156,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,23,31,39,43,58,65,70,80,88,102,103,111,126,129,142,146,156,166,176,317,325,333,338,346,356,362,372,378,394,400,410,415,423,429,443,600,603,617,619,633,642,651,653,662,677,681,693,697,703,718,723,733,739,753,758,768,776,785,794,800,807,817,826,836,844,853,860,871,879,883,898,903,909,918,929,939,947,957,959,969,979,986,1000,1010,1015,1026,1028,1039,1047,1055,1068,1074,1087,1089,1104,1105,1118,1125,1135,1145,1154,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,28,37,48,55,64,74,79,86,94,109,112,127,131,140,147,155,163,170,317,321,333,342,351,359,368,371,384,389,397,410,414,423,433,443,598,600,609,620,634,635,648,660,665,675,682,691,695,707,719,727,731,739,752,760,764,772,781,790,800,811,819,829,833,842,850,860,866,882,886,897,907,916,917,930,936,950,954,964,975,979,992,996,1006,1015,1023,1036,1040,1053,1061,1065,1076,1080,1095,1102,1106,1121,1122,1138,1144,1155,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,29,39,46,56,62,72,79,92,95,108,117,123,129,140,152,156,163,178,313,325,335,336,345,358,367,372,383,390,401,408,412,427,431,438,454,605,614,620,630,638,644,655,667,675,681,688,698,708,716,721,736,739,754,758,771,772,787,797,799,812,818,824,838,840,851,861,868,879,888,893,904,909,923,931,936,945,959,966,974,976,986,995,1003,1014,1027,1033,1042,1053,1054,1064,1076,1086,1090,1102,1105,1113,1123,1138,1145,1154,1163,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,28,40,51,57,65,71,80,92,98,109,117,125,132,139,146,154,167,175,317,326,332,338,343,354,366,371,380,391,396,409,415,422,436,441,597,606,612,619,628,636,651,658,665,670,685,688,697,709,719,728,729,738,754,760,771,774,787,794,802,808,820,828,837,843,855,863,868,874,886,899,905,912,924,926,934,950,955,963,968,982,990,996,1009,1013,1022,1034,1044,1049,1055,1066,1073,1082,1092,1097,1107,1118,1127,1130,1139,1150,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,27,37,44,59,67,70,78,88,100,109,116,121,133,144,153,159,168,176,316,319,327,335,349,358,364,374,382,387,397,410,412,423,435,440,596,602,615,620,627,637,647,655,665,669,680,689,702,711,718,728,732,741,746,754,767,773,781,792,805,808,815,826,833,847,852,859,870,878,890,898,900,911,924,933,935,942,958,959,972,979,990,995,1009,1012,1026,1031,1044,1046,1055,1065,1075,1080,1094,1104,1109,1117,1126,1132,1144,1152,1159,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,25,30,40,48,56,62,74,77,90,94,104,111,126,136,144,152,157,168,177,315,324,335,337,345,356,363,372,385,392,398,404,418,422,436,442,597,603,613,626,628,639,650,655,669,675,684,693,702,711,714,725,729,741,753,757,767,779,782,793,800,813,820,830,838,841,849,862,873,874,888,899,905,915,919,925,937,947,951,963,976,981,985,1001,1009,1011,1025,1035,1041,1048,1059,1068,1075,1082,1089,1101,1108,1117,1125,1132,1141,1151,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,33,37,47,56,60,70,78,85,100,106,114,123,133,141,147,156,167,177,314,324,332,339,345,356,364,376,385,390,399,410,412,420,433,443,451,608,610,621,634,640,645,654,665,674,681,687,699,704,715,727,735,739,754,756,765,776,787,789,797,812,822,827,835,842,853,861,866,874,889,898,900,910,924,930,937,943,956,962,971,976,992,994,1009,1013,1020,1032,1037,1047,1055,1067,1075,1081,1090,1101,1108,1120,1125,1132,1146,1151,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,23,29,40,47,54,60,69,79,86,96,102,116,125,129,140,145,160,169,171,313,318,331,335,346,354,364,376,384,388,398,408,414,423,432,445,596,608,614,623,634,641,644,658,668,674,680,686,695,709,716,728,737,740,747,761,769,774,786,795,805,808,818,825,838,843,855,858,870,879,887,893,908,910,917,933,936,942,957,962,973,978,993,994,1007,1012,1021,1029,1044,1052,1059,1068,1077,1085,1088,1103,1108,1114,1122,1133,1141,1155,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,22,30,36,45,54,64,74,84,90,101,102,114,123,135,140,145,160,170,174,313,320,329,342,351,355,367,376,383,389,398,409,412,421,435,442,448,603,612,624,630,642,651,659,666,676,685,687,702,707,714,723,733,741,753,758,767,776,781,791,802,811,816,824,836,841,852,864,872,876,886,891,901,916,919,929,934,949,951,961,968,984,987,994,1007,1016,1022,1030,1037,1048,1057,1065,1076,1082,1091,1097,1108,1119,1125,1137,1143,1155,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,33,40,50,53,65,73,79,88,99,110,112,124,130,141,146,156,170,171,316,319,333,341,346,356,368,376,385,393,402,406,418,429,437,439,598,605,612,624,634,636,649,657,667,675,679,691,701,705,720,723,737,743,750,758,763,772,787,795,798,807,822,830,840,841,855,861,869,874,889,894,905,916,924,932,936,947,959,964,972,979,986,999,1008,1011,1024,1033,1044,1048,1055,1066,1075,1085,1090,1097,1105,1119,1128,1137,1145,1150,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,31,38,50,53,62,75,80,89,102,110,113,127,132,137,151,162,166,174,315,326,330,340,346,360,361,376,378,386,396,409,418,428,431,439,460,601,616,618,631,636,645,658,662,669,680,691,697,711,715,721,735,739,750,759,769,773,781,794,805,808,821,823,838,840,848,858,866,880,882,897,906,914,920,932,934,950,951,966,975,979,992,996,1007,1016,1021,1034,1038,1048,1059,1063,1073,1084,1094,1098,1109,1121,1124,1136,1139,1154,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,19,25,39,50,55,60,72,78,91,99,103,113,125,128,138,148,157,166,176,181,326,327,341,346,359,366,371,379,392,399,405,419,426,433,441,597,601,609,619,628,640,650,655,666,670,679,690,696,705,713,728,737,742,753,759,770,780,783,796,805,812,822,828,832,840,848,860,871,877,884,893,902,914,922,930,937,948,955,960,973,982,993,1000,1002,1012,1025,1035,1037,1049,1060,1066,1073,1087,1089,1096,1108,1115,1130,1135,1143,1153,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,24,28,35,51,57,67,72,78,91,100,105,111,123,128,143,145,154,167,173,180,320,334,342,346,359,369,370,384,392,396,407,417,422,432,443,600,602,613,620,626,637,650,657,661,674,684,688,702,707,712,728,729,742,751,755,769,772,780,790,801,807,818,823,835,844,848,864,874,876,887,894,900,912,918,928,940,950,957,961,969,978,991,999,1006,1011,1021,1031,1041,1047,1061,1062,1077,1083,1087,1104,1105,1115,1127,1130,1147,1155,1158,1171,1178	1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,13,20,27,41,48,59,60,70,84,87,101,110,118,121,130,141,148,157,166,175,181,322,328,337,344,359,366,373,385,391,396,403,415,423,437,438,468,606,616,621,631,637,648,658,661,670,686,694,697,711,716,721,729,745,747,754,763,773,786,797,802,807,818,826,837,848,852,858,873,881,889,898,905,913,919,925,940,944,953,960,970,977,987,995,1002,1014,1024,1034,1044,1052,1059,1065,1074,1081,1093,1097,1106,1113,1127,1138,1140,1150,1163,1167	0,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
4,11,18,28,34,48,53,65,72,85,90,99,106,117,119,132,144,145,156,170,177,181,320,327,340,350,355,365,372,382,395,402,411,413,421,433,442,599,602,616,626,633,635,644,658,666,669,686,692,700,707,712,726,730,739,752,759,771,778,785,790,802,813,822,825,838,843,853,859,867,881,888,891,903,909,917,925,941,946,951,966,971,976,985,995,1007,1019,1023,1034,1040,1049,1056,1064,1075,1081,1091,1104,1106,1117,1126,1135,1141,1149,1162,1172	0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,16,24,26,36,44,53,61,74,82,93,99,104,113,124,129,145,150,160,163,179,181,319,335,339,352,360,368,375,385,389,396,407,415,427,434,438,600,605,617,621,628,637,651,652,666,672,679,690,699,711,712,724,736,740,746,760,767,773,787,796,799,808,822,823,834,844,853,863,865,881,883,896,902,909,921,925,935,944,959,963,972,982,986,994,1002,1012,1024,1035,1037,1045,1058,1065,1076,1085,1091,1102,1108,1120,1125,1137,1141,1153,1162,1170,1176	0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,10,24,33,35,43,51,65,72,81,86,96,102,119,126,128,142,151,156,170,176,181,318,328,342,345,360,366,374,384,389,398,409,413,427,434,446,599,605,613,622,627,641,646,655,662,669,685,689,695,706,712,726,735,738,750,757,767,777,783,795,805,810,818,830,835,841,853,860,868,878,883,894,902,912,923,926,937,948,952,959,975,979,991,999,1004,1016,1026,1028,1042,1047,1055,1069,1073,1084,1090,1100,1108,1113,1126,1133,1146,1150,1159,1168	0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,14,24,30,35,50,53,67,69,78,86,101,109,115,120,128,139,148,160,164,171,182,324,333,339,346,359,364,376,380,394,395,404,417,428,434,441,599,601,616,621,634,641,645,659,661,675,685,689,696,705,712,723,729,742,748,757,768,774,782,793,797,814,821,825,833,843,851,861,870,878,885,895,906,909,920,925,940,945,954,965,973,979,985,996,1005,1011,1019,1029,1038,1045,1058,1062,1074,1085,1091,1102,1107,1116,1128,1137,1141,1153,1158,1169,1178	1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,22,32,39,44,57,60,72,84,86,94,110,111,126,134,138,150,153,168,178,317,320,335,337,347,355,367,373,384,387,398,404,418,426,435,440,597,605,612,625,629,643,650,657,665,671,681,691,702,709,716,724,730,744,753,758,764,776,787,795,797,809,818,824,838,844,848,865,868,875,883,893,904,916,924,927,939,943,951,963,973,982,992,1002,1004,1015,1025,1036,1039,1048,1061,1070,1075,1083,1093,1098,1113,1114,1125,1138,1139,1147,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,18,30,35,48,52,63,71,83,89,99,107,117,123,129,140,152,162,163,174,185,326,330,340,344,358,362,371,379,394,403,406,413,424,431,439,452,605,610,619,633,639,649,655,663,672,680,688,694,707,712,724,729,745,751,755,767,774,783,796,801,812,817,825,836,841,853,858,872,877,889,892,903,914,920,931,940,946,953,961,968,979,992,996,1006,1016,1024,1031,1040,1051,1061,1067,1072,1083,1093,1097,1105,1120,1128,1136,1139,1150,1158,1168	1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,33,38,50,57,68,74,79,87,94,110,114,123,130,143,153,155,166,173,185,324,334,335,350,353,362,373,382,388,398,410,416,425,436,440,470,601,613,621,626,639,645,653,667,675,679,689,699,705,717,721,730,745,746,761,771,777,787,797,804,813,814,824,831,843,855,861,865,882,884,895,905,908,921,932,934,948,957,962,970,977,986,997,1009,1014,1023,1035,1039,1052,1060,1067,1075,1087,1095,1097,1110,1119,1122,1131,1147,1155,1158,1167,1174	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,9,23,27,41,48,57,68,76,77,85,99,110,116,123,131,138,151,161,166,177,179,323,329,336,346,357,362,370,386,393,395,405,413,425,434,439,449,602,613,622,631,642,645,653,667,677,678,690,695,706,719,723,736,741,752,758,771,779,786,792,800,811,816,829,837,843,848,857,869,878,884,891,908,913,923,930,934,950,952,961,970,984,991,997,1005,1012,1025,1031,1041,1045,1059,1065,1071,1083,1090,1101,1112,1119,1123,1135,1144,1155,1156,1172,1176	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,19,32,39,48,59,67,69,77,93,101,105,111,124,136,142,150,158,164,174,185,325,331,338,347,357,362,373,383,393,396,406,412,423,429,442,471,607,613,621,626,635,651,660,668,672,681,689,698,710,719,725,731,740,750,758,770,778,784,790,801,808,815,830,835,844,852,865,867,877,885,892,904,911,921,931,934,948,954,965,972,982,987,995,1002,1016,1020,1030,1043,1051,1056,1069,1075,1081,1090,1102,1106,1117,1122,1136,1144,1149,1157,1164	0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,17,32,39,46,54,67,75,77,87,96,103,113,127,132,142,147,160,165,175,189,326,333,338,345,359,367,375,385,392,398,409,419,425,436,444,461,602,614,621,627,642,651,657,667,677,680,690,701,704,715,726,729,743,752,756,764,779,787,794,804,811,816,827,834,847,854,861,871,879,885,894,900,913,919,931,936,949,956,965,974,979,991,994,1002,1014,1021,1035,1039,1049,1057,1065,1076,1081,1095,1100,1112,1118,1129,1131,1143,1152,1157,1170,1177	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,23,27,41,46,59,61,69,79,87,101,104,114,122,129,144,149,156,169,171,181,318,328,339,349,359,362,375,385,387,397,409,414,425,437,441,451,602,613,623,628,639,650,659,668,671,685,688,700,709,712,723,734,745,749,757,767,772,780,792,797,810,822,830,836,840,854,862,873,881,886,893,900,910,924,926,938,942,955,963,970,979,990,995,1003,1014,1023,1034,1040,1045,1059,1067,1074,1079,1093,1101,1105,1117,1129,1135,1145,1155,1156,1169	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,17,28,36,44,53,65,68,78,91,97,103,115,122,133,140,150,155,162,179,315,318,332,342,350,359,361,371,383,390,396,403,416,426,430,441,450,608,611,622,626,636,651,656,666,671,681,688,700,708,719,723,733,737,750,754,763,774,785,791,804,806,818,823,836,844,850,857,873,881,887,895,906,915,925,931,934,943,959,967,973,983,991,1000,1003,1017,1021,1032,1043,1047,1059,1064,1075,1080,1095,1103,1113,1121,1124,1133,1141,1150,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,28,40,50,57,63,73,84,86,94,107,117,123,134,145,150,156,166,173,315,318,329,338,344,352,364,372,380,388,402,406,417,423,435,446,596,606,609,624,634,638,650,653,668,671,682,688,703,708,718,725,729,738,750,763,764,778,786,791,801,807,815,831,836,842,856,857,866,878,887,897,905,913,924,927,941,947,953,963,972,978,990,1001,1007,1014,1025,1028,1041,1052,1054,1063,1074,1083,1093,1100,1109,1114,1123,1131,1147,1154,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,17,31,37,47,57,67,75,79,93,99,110,115,123,128,138,150,160,168,171,313,326,334,338,350,358,364,376,381,387,395,404,417,428,432,442,596,602,611,623,628,639,650,658,662,674,682,690,701,703,719,720,731,738,753,755,764,778,784,791,798,813,821,831,839,843,849,864,874,877,890,899,904,914,923,931,942,947,956,965,970,980,989,998,1003,1014,1027,1034,1039,1048,1054,1070,1075,1085,1092,1099,1113,1119,1125,1132,1140,1147,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,31,40,47,55,63,71,77,86,95,109,117,124,136,137,146,161,170,172,313,319,333,343,349,355,365,371,382,391,402,406,415,425,434,445,463,607,616,621,627,640,645,657,666,677,685,693,700,707,718,728,735,742,748,763,767,773,786,790,799,812,822,828,835,842,853,861,869,881,885,892,901,908,922,931,937,950,958,966,972,984,985,1001,1006,1012,1020,1030,1043,1049,1054,1070,1077,1081,1088,1104,1111,1120,1128,1138,1141,1148,1160,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,29,41,43,52,65,74,82,90,100,108,111,127,133,138,151,160,168,173,317,318,328,343,344,355,365,371,383,389,395,409,420,425,435,442,453,607,617,618,634,638,649,658,667,672,677,687,698,705,715,720,730,737,746,760,770,773,785,795,803,811,815,829,834,844,850,864,868,876,885,891,902,910,925,928,941,948,957,968,973,984,987,993,1006,1018,1023,1034,1044,1047,1059,1068,1071,1086,1092,1098,1109,1118,1122,1136,1143,1148,1159,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,31,37,50,51,64,73,77,86,96,104,112,120,133,144,151,157,167,176,316,318,335,342,348,360,366,373,384,393,400,411,417,422,430,443,597,603,614,624,628,636,649,654,669,676,683,688,695,709,716,727,729,739,748,755,771,773,785,796,801,808,815,829,835,842,852,859,871,878,883,896,908,916,919,928,937,950,957,962,976,980,989,1001,1007,1016,1021,1032,1038,1045,1057,1065,1073,1083,1093,1102,1107,1121,1129,1133,1146,1153,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,30,36,42,58,67,74,82,92,98,108,115,127,134,143,146,157,170,173,313,324,332,341,346,354,368,372,378,390,402,405,419,426,432,444,597,605,616,622,629,641,644,658,663,672,678,694,702,705,718,728,735,737,749,754,769,776,783,789,799,811,817,831,834,845,848,863,867,881,887,892,902,909,918,927,934,946,953,960,973,979,989,997,1009,1016,1024,1034,1040,1048,1055,1063,1078,1084,1093,1101,1110,1119,1125,1130,1144,1154,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,29,41,50,59,66,73,83,92,98,103,113,120,131,138,147,158,165,170,317,325,330,340,345,360,362,372,382,392,397,411,414,424,432,444,456,605,613,622,633,637,644,657,666,676,680,686,701,705,720,721,730,739,750,757,765,774,785,791,802,812,818,826,838,844,852,861,868,877,885,897,902,908,920,926,942,944,955,966,968,979,988,996,1006,1015,1027,1035,1042,1045,1055,1069,1076,1084,1087,1100,1113,1117,1123,1132,1143,1152,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,29,41,42,54,65,72,80,93,101,103,116,123,133,140,152,153,163,177,180,318,328,336,346,360,367,370,379,389,403,406,417,428,430,441,471,606,613,626,633,635,646,660,661,677,683,690,695,708,716,720,731,739,750,762,766,774,787,795,801,809,816,825,834,846,854,863,874,880,889,898,905,916,918,931,939,949,951,959,972,982,990,996,1006,1015,1027,1034,1043,1049,1054,1064,1075,1086,1090,1104,1110,1113,1126,1133,1143,1151,1163,1173	0,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,18,34,37,46,54,60,70,79,90,98,108,112,120,136,139,146,160,164,171,313,324,327,339,351,355,365,369,379,387,400,405,414,427,430,442,466,602,612,624,634,637,646,659,668,673,682,688,701,706,715,725,730,738,746,755,764,778,783,792,804,813,815,825,835,845,854,863,872,882,886,897,902,914,919,930,935,950,954,963,972,983,993,1000,1010,1012,1020,1030,1042,1047,1060,1069,1076,1085,1092,1098,1110,1114,1122,1138,1142,1149,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,31,39,51,56,68,69,80,93,99,110,116,119,133,143,145,159,167,178,316,321,331,336,349,353,364,371,378,392,403,406,415,423,434,439,465,602,616,619,629,640,644,657,668,671,680,686,699,706,718,728,730,737,752,755,768,771,784,791,801,809,822,824,838,841,856,864,869,875,884,893,900,910,916,931,935,946,952,964,972,976,992,999,1009,1014,1023,1032,1044,1048,1056,1063,1072,1079,1089,1102,1111,1114,1128,1135,1139,1154,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,23,26,38,46,59,62,72,80,87,101,103,118,124,133,139,149,155,164,177,317,319,328,338,345,358,363,371,382,388,397,410,415,426,433,441,596,607,613,618,626,639,643,655,663,669,685,687,701,705,718,721,733,744,747,760,768,771,783,797,804,811,819,831,834,846,853,863,868,877,888,893,901,914,922,929,939,948,956,959,975,980,986,999,1008,1015,1026,1030,1043,1053,1056,1067,1072,1085,1089,1099,1111,1115,1125,1137,1141,1148,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,27,34,46,59,60,75,80,89,95,110,112,123,129,140,152,157,162,177,316,326,328,338,350,358,365,372,378,387,400,408,417,424,434,441,597,606,615,619,627,641,649,652,663,673,679,691,698,703,717,725,731,744,749,761,766,774,786,789,802,812,814,824,836,847,850,857,870,878,886,894,903,914,923,929,937,943,952,965,970,982,986,994,1006,1010,1020,1034,1040,1052,1057,1067,1076,1082,1095,1103,1113,1121,1125,1138,1147,1151,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,28,35,49,54,62,76,80,88,98,107,118,127,136,138,147,161,162,171,184,323,333,339,351,355,363,374,385,391,395,406,418,427,432,445,460,605,610,625,631,639,648,657,662,671,682,686,697,707,718,720,735,740,750,763,766,773,783,791,805,809,818,827,835,846,853,864,868,875,888,895,907,912,919,926,942,944,958,959,968,977,988,1000,1002,1014,1025,1035,1037,1052,1061,1068,1077,1086,1089,1098,1109,1118,1129,1136,1140,1150,1162,1172	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,10,20,28,36,49,59,65,75,82,91,99,104,118,123,128,140,148,155,164,175,314,321,330,341,352,357,367,370,378,392,400,411,416,427,429,438,467,606,610,618,629,640,650,658,666,672,680,692,701,705,713,727,729,739,746,757,768,777,781,789,798,811,815,828,835,844,851,857,869,876,889,894,902,910,924,931,936,945,958,961,970,980,993,997,1009,1013,1025,1030,1037,1049,1056,1062,1078,1081,1089,1097,1111,1120,1123,1131,1146,1153,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,25,28,38,44,51,65,72,81,91,98,107,113,125,132,143,153,154,168,172,315,325,327,339,350,356,364,370,383,390,398,409,414,425,432,440,597,601,611,618,630,635,646,657,665,670,681,693,697,705,712,722,733,744,752,757,767,773,786,792,804,808,820,823,831,843,854,863,871,874,887,893,905,915,919,930,938,950,952,961,970,977,985,998,1007,1017,1025,1028,1038,1047,1053,1063,1076,1082,1094,1104,1106,1115,1129,1138,1144,1155,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,33,37,47,52,66,68,83,93,99,109,111,120,134,138,153,161,163,173,315,324,335,338,348,352,369,372,380,393,397,404,419,429,435,440,447,606,611,625,629,638,650,654,667,671,678,688,701,709,718,723,736,743,751,762,763,775,787,790,802,811,817,830,834,848,851,859,869,880,887,894,905,911,920,932,936,943,959,963,969,984,990,998,1010,1018,1024,1033,1042,1049,1058,1069,1070,1082,1093,1101,1111,1121,1128,1130,1139,1151,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,19,32,41,46,54,65,69,82,92,95,107,114,124,131,144,153,161,169,179,318,326,331,335,348,360,363,373,378,391,398,405,420,422,435,445,596,608,611,621,632,635,648,656,664,673,683,692,696,707,713,728,730,744,751,760,770,773,788,794,798,814,822,825,833,841,851,862,868,876,886,893,901,915,918,931,938,945,957,964,970,980,991,998,1007,1015,1022,1032,1039,1048,1057,1062,1077,1081,1093,1098,1107,1117,1124,1133,1141,1148,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,29,35,47,52,64,72,80,87,101,106,114,125,133,143,147,161,168,175,313,321,330,340,345,357,363,371,380,393,396,406,413,424,430,442,598,608,609,622,634,636,647,656,668,674,684,686,695,705,714,726,735,741,752,756,765,772,783,791,805,810,818,829,838,841,855,863,868,879,885,897,901,910,924,932,934,945,956,959,971,976,987,996,1002,1014,1024,1028,1041,1053,1054,1064,1071,1083,1094,1103,1112,1113,1122,1138,1145,1149,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,34,35,44,56,63,72,81,85,100,109,115,127,133,139,153,161,163,179,316,325,329,337,345,355,368,376,383,391,402,405,418,428,435,440,457,604,615,618,634,641,648,656,666,669,677,687,699,705,714,720,729,739,749,760,766,774,785,795,799,811,816,829,834,847,852,864,869,878,886,894,908,910,918,930,941,949,956,962,976,981,988,1000,1008,1015,1024,1032,1038,1049,1054,1068,1074,1083,1094,1099,1107,1121,1122,1138,1142,1153,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,28,41,49,52,61,72,84,93,100,104,111,124,133,141,146,158,163,178,317,326,333,341,346,360,366,376,383,389,398,410,414,424,433,444,466,608,616,620,626,635,644,654,667,671,685,688,701,705,714,720,731,742,748,759,767,775,785,789,803,812,821,829,832,842,849,859,870,879,888,896,905,909,917,927,934,944,958,967,972,983,985,1001,1009,1015,1025,1031,1038,1047,1061,1068,1075,1083,1088,1102,1106,1114,1128,1134,1146,1153,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,33,36,42,57,61,72,85,93,98,109,114,121,132,142,148,156,168,171,315,325,331,342,345,358,368,373,385,390,397,409,420,424,436,440,597,603,611,626,629,640,645,658,666,669,680,692,694,706,713,724,729,739,746,761,764,776,785,790,803,808,814,829,838,842,853,860,871,880,886,895,902,914,924,931,935,947,952,961,976,982,988,998,1004,1015,1023,1028,1044,1051,1054,1066,1076,1084,1087,1096,1112,1119,1126,1137,1144,1151,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,32,38,43,55,60,70,83,86,96,108,113,127,131,137,149,154,164,172,313,323,328,336,351,355,362,373,378,391,403,407,420,422,433,444,597,603,615,625,631,643,649,659,663,671,677,693,695,711,718,722,729,739,752,757,766,775,781,792,799,809,814,828,834,847,857,862,872,882,888,895,907,916,919,930,938,945,958,966,972,980,991,995,1009,1013,1019,1036,1043,1046,1056,1069,1074,1086,1093,1097,1110,1120,1126,1130,1140,1149,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,26,37,50,58,63,71,82,91,99,104,113,119,128,138,145,156,168,173,313,321,331,343,349,354,362,377,384,392,397,407,416,427,436,439,455,604,615,624,630,638,650,659,665,670,682,692,702,711,715,728,733,742,750,756,763,775,783,796,797,809,817,826,831,842,856,858,873,879,887,898,904,911,920,926,937,947,958,966,973,978,990,997,1004,1013,1027,1034,1038,1047,1054,1066,1070,1083,1091,1097,1112,1119,1129,1138,1146,1150,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,27,42,51,59,62,72,78,89,97,110,113,120,134,141,146,161,163,171,314,325,332,343,351,353,368,376,380,388,399,406,412,423,431,441,599,609,613,622,627,637,650,656,665,672,683,691,697,711,719,723,732,745,746,755,766,773,785,789,800,811,818,824,832,840,853,860,866,882,885,898,908,913,924,927,938,944,958,964,972,980,992,1001,1003,1014,1022,1034,1040,1049,1054,1063,1077,1080,1092,1103,1107,1121,1126,1132,1141,1147,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,24,29,41,46,57,63,73,77,91,96,107,115,125,131,142,149,160,163,175,314,323,327,338,346,354,365,374,384,391,398,407,418,425,436,440,598,603,611,618,626,641,649,659,662,674,681,694,697,705,717,728,735,744,750,757,768,778,787,796,800,811,816,827,837,847,849,865,868,875,887,891,906,912,922,931,938,948,956,966,969,980,985,997,1004,1016,1025,1029,1040,1053,1061,1063,1073,1084,1095,1101,1109,1117,1123,1138,1140,1151,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,28,40,50,51,68,72,79,89,94,110,113,126,133,138,145,158,164,175,313,318,329,339,346,357,365,369,384,388,395,405,415,428,436,443,459,606,614,621,631,636,645,655,665,672,684,687,699,710,718,725,733,743,750,761,769,779,788,796,804,812,814,824,839,843,850,858,869,878,884,898,906,914,924,932,937,943,951,967,968,978,985,997,1008,1013,1022,1028,1044,1053,1060,1069,1072,1083,1089,1100,1110,1117,1122,1131,1142,1150,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,24,31,39,49,58,59,70,80,91,96,103,114,120,132,144,148,154,164,175,179,320,332,335,350,360,366,370,380,391,396,409,418,426,436,445,600,609,616,620,634,635,645,657,662,670,681,687,697,709,715,721,732,740,752,755,767,777,785,797,798,807,819,831,838,840,856,860,869,875,886,898,901,915,921,933,936,947,958,962,972,977,986,1001,1004,1015,1020,1035,1041,1049,1056,1062,1076,1084,1088,1099,1110,1120,1130,1136,1142,1149,1157,1172	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,13,22,28,38,49,58,67,74,82,92,101,103,111,126,130,144,152,156,170,176,180,322,331,339,344,358,361,375,384,386,403,408,420,424,433,444,452,601,609,618,632,643,645,655,660,671,680,689,698,705,714,720,733,740,751,762,767,775,781,789,798,808,818,823,833,848,856,860,873,878,884,891,903,913,920,926,934,950,953,963,968,978,987,999,1006,1014,1027,1032,1040,1047,1054,1065,1075,1085,1091,1103,1109,1120,1129,1131,1142,1150,1162,1171,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,23,26,41,49,55,60,72,77,92,99,109,112,120,135,138,147,155,170,172,180,324,332,336,351,356,367,374,379,394,397,409,414,427,431,444,598,609,613,621,634,642,651,660,666,675,682,690,703,709,714,728,734,740,750,754,765,780,781,795,801,813,820,828,836,845,853,859,865,881,885,899,901,915,922,926,939,944,952,962,975,982,990,995,1010,1018,1025,1036,1042,1048,1055,1062,1070,1079,1092,1102,1110,1119,1124,1131,1146,1153,1156,1170	0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,11,24,33,34,50,59,65,71,83,91,95,105,115,126,135,136,149,160,168,171,187,324,332,339,345,357,365,374,384,394,395,406,414,425,435,444,463,602,610,625,630,642,645,656,664,670,682,687,699,706,719,726,734,742,747,756,766,778,786,791,803,811,819,823,833,842,852,864,873,881,887,897,906,913,918,931,936,943,956,962,969,982,986,999,1005,1012,1023,1029,1038,1052,1053,1063,1071,1080,1088,1104,1108,1117,1128,1133,1145,1152,1160,1167,1176	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,11,23,31,39,46,59,66,72,77,86,99,103,118,120,131,141,146,156,170,173,182,319,331,342,352,353,364,371,378,387,399,410,414,426,436,445,599,605,614,619,627,642,649,656,665,669,679,693,698,707,716,720,732,745,750,757,765,779,784,792,805,810,818,825,837,846,851,862,872,875,889,895,902,910,924,933,940,944,958,963,969,977,992,998,1007,1016,1025,1031,1037,1053,1059,1066,1072,1081,1088,1102,1112,1113,1122,1135,1139,1152,1163,1166,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,25,33,39,48,52,61,70,80,89,100,110,112,119,128,136,149,158,165,175,189,320,328,341,349,360,361,375,382,394,402,408,412,424,437,440,460,607,617,619,630,641,651,658,661,677,682,691,702,708,716,724,736,745,749,757,766,771,781,794,801,808,818,824,838,843,848,865,866,880,890,898,900,909,919,931,940,948,953,963,972,980,989,1001,1003,1017,1024,1035,1044,1052,1061,1065,1077,1081,1090,1097,1106,1117,1127,1134,1143,1153,1161,1170,1176	1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,19,33,35,46,57,60,73,83,93,98,105,117,127,134,142,153,158,164,173,180,322,331,342,350,358,366,371,383,394,399,410,418,428,436,439,457,601,613,619,634,636,650,659,660,677,683,689,697,706,713,722,737,742,747,758,767,774,783,790,804,807,816,828,836,845,850,859,866,879,888,894,900,911,920,929,939,944,955,963,972,982,992,997,1007,1013,1024,1033,1043,1051,1056,1069,1078,1082,1095,1104,1107,1116,1128,1134,1141,1147,1161,1166,1174	1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,23,27,35,46,53,67,70,83,93,101,108,118,125,129,136,152,160,166,175,318,325,334,342,344,353,366,377,379,391,396,407,417,422,435,438,599,605,614,622,628,637,650,654,666,677,682,693,697,705,717,728,734,744,752,758,771,775,782,794,801,809,818,827,831,844,849,862,868,878,887,892,901,910,920,931,938,945,959,962,972,980,990,995,1008,1011,1020,1029,1036,1046,1061,1062,1074,1081,1095,1100,1105,1119,1129,1134,1146,1153,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,33,39,49,53,66,68,82,93,96,104,117,122,133,141,147,155,164,172,184,324,332,340,346,357,368,376,382,391,400,411,419,424,430,439,600,606,611,618,634,637,651,660,668,670,682,690,699,706,719,723,729,741,748,758,768,779,785,795,804,808,819,824,833,847,854,864,873,876,890,892,902,913,922,930,936,950,959,963,975,984,991,994,1006,1018,1025,1032,1041,1045,1061,1063,1077,1080,1094,1101,1106,1120,1124,1135,1145,1152,1157,1166	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,19,28,34,44,54,63,74,83,92,102,107,114,122,128,145,146,159,170,171,179,319,330,336,351,358,368,371,378,391,399,404,416,428,432,440,598,609,616,626,633,642,644,660,666,676,678,689,698,707,715,728,735,737,753,754,770,773,781,791,805,808,819,827,836,843,855,859,872,876,885,895,901,913,920,931,935,949,958,960,975,982,986,998,1005,1019,1027,1030,1043,1052,1054,1063,1071,1084,1088,1103,1110,1118,1122,1137,1142,1147,1159,1165	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
3,10,24,29,35,48,58,66,71,82,93,95,104,115,123,131,137,153,159,167,177,190,320,332,336,346,357,362,369,384,386,403,411,413,421,433,446,598,607,615,625,631,642,646,652,668,670,677,689,695,706,720,727,730,737,749,755,771,776,785,795,799,810,818,830,836,843,853,862,872,882,888,898,903,916,922,933,935,943,953,960,972,978,985,995,1006,1012,1024,1028,1038,1047,1054,1065,1078,1084,1094,1096,1107,1120,1122,1131,1139,1150,1164,1172,1175	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,17,33,41,50,58,65,73,77,85,97,110,116,122,130,137,150,160,164,178,183,320,327,339,345,360,368,370,379,387,399,410,413,424,434,439,455,603,610,622,633,643,650,656,663,670,684,692,700,705,712,721,732,739,747,756,770,772,780,790,797,809,822,824,836,845,850,865,869,880,890,893,903,915,925,927,935,950,954,965,972,978,992,1001,1008,1019,1021,1033,1044,1048,1059,1067,1075,1086,1094,1096,1105,1117,1122,1133,1145,1149,1156,1167	1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
2,11,23,28,39,50,59,63,68,77,87,95,107,113,125,130,140,149,161,170,178,179,318,333,343,346,357,362,376,378,387,400,404,416,428,435,445,597,604,614,625,635,638,648,655,667,670,681,693,695,708,716,722,734,739,752,755,767,773,782,789,802,808,818,826,832,848,855,862,872,877,884,893,900,913,920,932,940,950,957,964,971,978,989,996,1008,1016,1022,1031,1041,1050,1055,1063,1075,1083,1094,1098,1107,1119,1126,1131,1146,1153,1163,1167	1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,15,22,25,40,49,57,66,75,79,89,99,107,115,123,128,137,148,155,165,173,182,318,330,341,346,358,366,373,385,389,397,404,419,422,437,439,600,601,617,619,628,640,645,653,667,670,685,686,703,706,715,721,731,738,750,761,765,771,786,792,798,813,818,829,834,842,852,858,866,881,884,898,901,915,919,926,935,942,951,966,976,982,991,994,1004,1018,1019,1032,1043,1048,1055,1062,1071,1080,1093,1101,1105,1121,1128,1138,1140,1153,1159,1171,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,9,18,28,37,48,56,62,75,84,85,94,110,116,125,130,142,151,154,164,171,314,319,333,335,348,355,362,373,379,394,403,410,419,422,431,443,459,604,615,625,632,642,647,656,663,674,678,686,702,704,713,723,730,738,754,762,764,780,787,792,801,810,816,827,834,846,856,864,867,882,887,892,908,913,923,928,941,951,952,966,971,983,985,1002,1006,1015,1025,1028,1038,1048,1060,1065,1079,1086,1094,1096,1106,1118,1127,1130,1146,1148,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,31,37,48,58,68,70,83,88,97,103,116,122,129,144,151,155,169,173,313,319,329,336,345,357,362,374,378,389,397,410,414,426,436,445,597,601,609,620,631,641,650,656,661,673,682,687,701,710,718,726,733,746,751,761,767,779,783,795,799,811,817,827,836,847,856,862,866,876,885,896,904,909,922,931,935,944,954,966,976,982,990,1000,1004,1017,1025,1034,1043,1051,1060,1068,1077,1084,1088,1098,1105,1114,1127,1131,1141,1148,1159,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,32,37,51,52,61,74,81,87,98,105,111,122,130,143,146,153,170,177,313,325,327,342,350,359,367,376,385,392,400,407,420,421,432,437,598,601,615,624,631,636,647,660,669,674,680,690,700,705,713,722,732,743,749,762,768,777,782,791,803,814,821,829,834,844,850,858,869,875,887,897,902,916,919,930,936,946,953,961,973,979,990,995,1008,1014,1020,1035,1037,1051,1055,1067,1072,1080,1090,1103,1105,1116,1124,1137,1141,1150,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,29,42,45,59,66,71,81,87,99,104,116,126,133,139,148,158,165,170,318,323,330,336,343,360,366,374,378,394,395,408,417,425,432,445,454,603,615,621,630,640,647,653,667,673,680,686,701,710,714,723,733,744,752,760,770,772,784,794,802,807,814,825,839,843,854,860,872,876,886,891,900,908,924,930,934,949,953,965,974,976,993,996,1002,1015,1026,1032,1044,1048,1058,1067,1074,1079,1091,1103,1105,1117,1124,1137,1147,1149,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,23,30,37,48,54,64,71,83,92,95,109,113,119,129,138,149,157,162,174,315,321,328,339,350,360,361,371,382,389,398,405,414,428,436,438,597,604,611,620,627,636,650,657,668,670,680,688,699,704,712,724,733,740,748,760,767,776,788,791,805,813,821,830,840,847,853,859,868,875,885,899,907,915,917,930,935,946,957,959,973,981,985,1001,1006,1012,1020,1033,1043,1050,1054,1064,1077,1086,1089,1102,1109,1118,1122,1136,1146,1154,1161,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,21,29,35,46,54,62,71,80,90,101,104,119,122,136,138,149,153,169,179,313,321,330,340,344,354,368,372,379,390,399,406,415,425,430,442,447,604,615,624,629,642,647,653,668,670,677,692,699,710,718,725,731,741,747,756,765,775,780,794,805,812,817,824,832,848,851,858,870,879,884,898,900,911,922,933,937,944,952,961,973,984,988,994,1008,1017,1023,1029,1042,1047,1058,1069,1079,1087,1093,1104,1111,1119,1126,1136,1140,1152,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,20,33,34,42,58,66,70,78,88,96,103,118,123,130,138,152,156,169,177,315,322,332,341,347,354,362,374,382,392,397,409,413,423,434,440,600,608,616,625,633,641,643,655,662,674,684,690,696,708,715,723,729,746,754,757,771,778,783,795,800,806,817,827,835,845,848,865,871,878,884,894,899,912,922,927,942,946,955,964,973,985,990,998,1004,1018,1027,1034,1037,1052,1061,1070,1074,1079,1087,1100,1112,1115,1128,1134,1146,1152,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,31,38,45,57,62,75,84,88,99,108,117,127,133,137,150,158,170,179,314,323,327,335,348,357,365,372,382,390,395,407,420,423,435,444,467,601,611,625,634,642,651,658,668,671,685,694,696,703,717,722,732,740,747,759,765,780,784,794,797,807,815,829,839,844,852,862,871,880,885,893,900,908,921,930,936,943,955,966,968,976,988,996,1005,1017,1025,1030,1037,1045,1059,1064,1078,1087,1089,1096,1109,1114,1126,1135,1141,1151,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,31,38,47,56,60,72,81,92,96,105,116,122,129,141,147,157,169,175,315,323,333,341,352,355,362,372,381,393,401,405,414,428,430,441,597,605,612,618,627,641,646,655,667,669,681,687,696,707,719,723,734,740,749,761,765,779,786,793,804,813,821,825,836,842,852,861,872,878,884,898,901,909,923,927,938,945,954,962,973,982,991,994,1006,1016,1023,1036,1044,1050,1054,1064,1079,1081,1092,1098,1111,1115,1128,1138,1139,1155,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,12,17,33,41,44,57,67,69,77,90,97,104,115,120,130,143,147,158,163,171,315,326,331,342,345,358,362,370,384,390,400,411,416,427,431,441,599,608,610,619,631,641,649,659,667,676,680,689,695,711,720,724,735,745,753,760,767,780,787,791,798,809,816,825,835,841,856,863,865,878,884,895,903,911,921,933,942,950,957,965,973,982,990,999,1002,1016,1026,1029,1040,1047,1056,1065,1073,1082,1092,1100,1108,1120,1129,1134,1144,1151,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,20,27,41,46,58,67,70,81,87,98,103,119,121,136,142,147,155,169,175,314,322,327,342,344,353,366,374,381,392,397,411,418,427,437,440,599,604,614,618,627,637,652,654,665,670,684,689,695,707,714,723,736,741,751,759,764,774,784,796,801,814,817,824,832,841,854,862,870,879,886,899,902,914,922,926,936,946,958,960,975,977,986,995,1008,1019,1023,1028,1043,1047,1057,1064,1072,1083,1092,1096,1112,1114,1126,1131,1140,1147,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,33,34,46,54,62,74,78,89,99,110,116,120,134,139,152,159,162,173,316,326,334,341,351,356,368,370,379,390,401,406,414,428,436,445,600,608,613,625,634,641,645,652,662,671,680,694,698,709,720,726,732,741,750,761,767,774,784,791,798,813,819,829,834,840,851,864,869,878,890,896,905,908,920,925,934,949,952,960,972,976,992,997,1006,1018,1024,1028,1044,1051,1061,1065,1071,1083,1094,1099,1111,1113,1129,1132,1142,1154,1161,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,22,33,34,45,53,63,75,78,87,97,107,115,126,131,140,149,158,163,178,317,325,328,343,350,357,364,375,381,390,397,410,414,425,432,444,466,607,617,626,630,643,649,656,668,671,685,693,699,706,712,727,729,742,747,759,765,777,781,789,804,813,816,825,835,843,852,860,868,878,883,894,905,908,918,932,935,949,955,966,970,983,991,995,1004,1011,1019,1030,1044,1048,1057,1067,1074,1079,1093,1099,1112,1117,1127,1135,1141,1147,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,32,42,47,53,60,68,81,87,100,107,112,122,132,143,152,154,163,173,192,324,332,338,350,353,369,374,381,389,399,411,414,428,432,440,449,607,613,625,634,638,649,660,668,676,679,687,701,708,713,720,733,744,752,760,764,779,787,794,798,813,821,826,836,841,855,861,868,874,883,896,906,914,920,925,942,949,956,964,969,982,992,999,1007,1012,1024,1036,1042,1048,1059,1064,1074,1086,1089,1104,1107,1116,1123,1136,1141,1152,1159,1172,1174	0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,26,42,50,54,67,76,79,90,94,104,113,122,128,144,148,156,162,179,318,322,334,339,350,352,364,371,380,392,398,408,414,426,436,444,599,607,617,626,634,638,647,658,666,672,686,692,697,708,719,722,737,744,749,760,763,778,786,793,804,806,817,825,837,840,852,864,867,881,884,898,907,914,924,927,939,947,957,963,975,985,987,997,1006,1013,1027,1030,1043,1048,1056,1063,1078,1081,1093,1104,1109,1117,1128,1132,1143,1147,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,25,35,49,57,66,75,82,92,100,102,117,121,132,140,150,158,168,170,317,319,332,339,348,355,361,372,382,392,396,407,419,424,430,442,599,605,617,620,634,640,647,656,663,669,680,690,695,707,716,723,731,739,753,760,768,777,786,793,801,807,820,830,836,843,857,864,867,880,888,894,901,913,925,927,936,950,956,960,975,984,985,994,1007,1012,1024,1028,1044,1046,1059,1066,1075,1081,1093,1100,1108,1115,1122,1132,1147,1152,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,26,35,44,53,63,74,83,85,102,106,111,124,133,141,146,154,166,171,317,325,334,338,348,352,361,375,380,391,399,403,414,423,435,440,598,609,611,619,631,643,651,653,669,673,680,694,699,705,713,727,734,740,750,761,765,779,784,791,801,811,820,826,832,845,856,864,868,877,889,893,903,908,920,932,942,945,955,961,972,982,992,998,1009,1014,1024,1031,1040,1051,1061,1067,1072,1087,1093,1102,1106,1119,1123,1131,1141,1155,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,18,30,38,43,59,60,75,77,86,96,104,113,126,136,139,153,158,164,174,316,320,334,343,351,360,365,371,381,387,397,408,413,424,430,441,461,608,612,626,634,642,645,656,667,673,682,692,698,710,713,722,731,744,749,758,768,778,780,795,798,807,814,827,839,843,855,862,874,875,885,898,904,916,919,933,940,942,956,964,970,984,985,995,1007,1011,1024,1035,1037,1052,1053,1063,1074,1082,1096,1104,1112,1120,1128,1138,1144,1152,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,20,31,39,44,52,63,70,81,86,98,105,116,122,133,143,145,156,169,171,313,325,335,342,346,358,368,373,382,393,396,407,420,423,430,441,466,604,611,622,633,637,643,658,665,675,681,690,700,707,712,728,736,744,751,763,764,779,788,793,799,810,819,829,835,845,855,857,865,876,883,897,902,910,917,930,938,942,952,961,973,983,989,999,1006,1011,1019,1034,1038,1045,1055,1067,1077,1086,1093,1103,1109,1115,1125,1135,1144,1153,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,32,34,49,52,63,71,85,86,98,108,117,127,132,142,149,157,165,178,313,326,330,343,346,355,368,376,382,394,397,411,416,422,431,438,463,602,615,623,628,642,649,654,662,669,686,691,702,711,719,727,735,739,746,761,767,779,780,792,798,814,821,828,837,845,855,859,866,875,890,894,904,909,918,930,934,947,951,965,970,978,987,999,1006,1018,1022,1031,1037,1048,1054,1069,1076,1085,1095,1098,1109,1121,1124,1137,1144,1148,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,33,42,45,56,62,73,81,87,100,109,118,122,132,141,149,158,163,179,318,321,330,342,345,360,367,375,382,392,395,409,419,427,436,442,597,608,610,620,634,642,647,653,666,676,682,692,702,708,712,724,737,738,748,755,769,773,781,794,805,809,819,829,835,843,851,857,868,877,887,897,903,914,920,928,936,946,952,963,970,983,993,996,1003,1015,1020,1028,1039,1048,1055,1064,1070,1085,1094,1099,1112,1120,1128,1135,1141,1154,1157,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,33,34,46,54,60,69,81,92,97,103,116,123,131,137,150,154,166,173,316,321,334,335,347,356,368,378,383,394,400,409,413,426,433,444,468,606,613,618,627,639,651,658,666,675,683,689,701,704,716,726,735,739,751,762,764,771,785,791,798,806,821,829,837,842,850,861,869,880,884,895,907,916,924,932,934,945,951,967,974,981,989,995,1004,1015,1026,1030,1044,1046,1060,1063,1075,1084,1096,1097,1112,1121,1129,1136,1147,1152,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,17,26,39,49,51,61,75,82,88,97,109,118,119,134,139,146,157,169,179,313,324,326,339,344,355,364,373,381,388,396,409,412,422,436,443,596,605,614,619,629,636,649,654,660,673,680,692,701,707,718,723,737,741,750,756,767,773,784,792,801,807,814,828,833,841,850,859,866,881,889,897,904,908,917,930,936,944,958,962,968,980,990,1001,1002,1014,1024,1033,1044,1046,1053,1067,1076,1085,1093,1100,1105,1118,1123,1131,1139,1147,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,32,39,46,57,62,70,81,89,96,107,118,123,134,141,150,158,167,174,314,323,328,343,347,355,366,370,385,390,401,407,416,420,434,438,597,606,610,625,630,638,651,659,662,674,685,688,700,707,719,727,729,743,750,760,764,773,780,789,802,806,818,824,838,847,851,858,871,878,889,892,903,912,922,929,937,948,957,967,972,977,993,997,1005,1015,1025,1032,1042,1049,1058,1063,1073,1079,1087,1101,1112,1116,1124,1133,1143,1150,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,17,26,40,51,53,61,76,80,85,95,107,118,123,131,141,151,154,168,174,313,325,332,343,348,353,368,372,381,391,401,410,416,421,434,440,597,601,613,624,629,635,644,652,664,675,685,691,697,704,717,726,729,739,747,757,768,776,787,794,802,807,815,827,835,846,852,862,869,875,890,893,901,908,923,928,936,943,956,968,969,978,990,999,1006,1018,1027,1029,1038,1050,1061,1067,1076,1083,1091,1103,1110,1120,1129,1133,1144,1153,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,32,36,43,51,66,73,78,85,96,110,116,120,128,139,152,153,169,172,313,324,329,342,346,360,365,371,384,392,399,404,414,423,430,439,596,601,615,622,627,636,645,654,668,674,680,692,695,711,720,728,730,744,747,762,766,773,783,796,803,808,821,824,839,844,856,861,866,876,889,894,902,909,916,933,942,949,953,967,975,977,992,999,1007,1019,1020,1028,1044,1052,1057,1068,1072,1081,1095,1097,1112,1119,1122,1135,1143,1155,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,28,35,50,53,67,70,79,89,101,108,118,124,129,144,145,153,168,178,181,324,332,336,352,355,363,376,382,391,395,411,416,427,434,441,596,601,616,619,634,636,645,658,663,677,680,687,697,704,713,721,729,737,751,754,767,778,780,796,802,807,817,829,833,845,848,860,870,879,888,891,905,912,921,929,937,950,953,962,973,979,988,994,1002,1017,1019,1029,1042,1047,1053,1066,1071,1079,1088,1098,1109,1113,1124,1134,1147,1148,1161,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,15,25,34,36,48,57,63,71,84,88,93,103,115,120,129,139,149,156,166,176,180,320,327,342,346,354,366,373,381,388,396,405,415,425,429,442,599,603,614,618,629,638,649,654,661,675,684,688,700,709,714,728,737,743,753,759,767,773,783,792,800,812,815,827,835,845,851,857,869,881,889,892,906,909,924,928,941,947,951,964,975,981,993,994,1003,1017,1024,1034,1038,1045,1056,1066,1078,1081,1088,1097,1110,1119,1122,1138,1145,1151,1158,1164	0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,30,39,42,56,63,74,80,92,102,109,116,122,128,137,152,155,165,176,180,318,327,340,352,359,367,370,384,389,399,407,414,428,434,440,598,602,614,624,630,643,644,655,661,676,682,686,702,711,715,726,730,741,748,757,770,779,780,796,798,807,822,828,838,840,855,861,867,879,889,893,906,914,916,933,939,944,951,962,971,983,992,999,1007,1018,1020,1035,1039,1045,1054,1067,1078,1082,1094,1103,1107,1119,1126,1133,1139,1148,1160,1164,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,14,17,30,37,51,57,63,69,77,91,95,110,116,125,134,136,151,155,170,177,185,323,330,335,350,360,361,375,382,394,397,411,413,422,430,445,600,606,617,620,627,643,649,657,667,673,682,688,697,706,716,725,730,744,750,757,766,775,785,792,801,810,822,827,839,847,850,862,868,879,887,896,907,916,923,929,936,950,955,963,976,983,993,995,1007,1018,1024,1028,1037,1045,1057,1066,1074,1080,1091,1104,1105,1116,1127,1132,1142,1147,1156,1167,1174	1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,10,25,32,34,44,54,64,71,83,91,101,105,114,119,129,141,150,160,165,175,180,321,333,339,345,358,364,372,379,390,396,408,414,422,434,445,598,603,613,618,630,641,646,658,668,671,684,693,702,704,713,723,729,739,749,758,766,771,784,791,802,813,815,823,831,848,853,862,866,879,882,897,902,916,917,927,939,944,956,960,976,978,990,995,1004,1016,1023,1033,1041,1048,1054,1062,1076,1079,1091,1104,1113,1120,1129,1133,1146,1148,1160,1168	1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,13,18,27,38,50,51,60,73,81,87,97,109,111,123,131,144,150,159,169,172,204,322,326,343,348,353,364,371,383,392,397,411,419,422,435,442,600,606,611,622,633,638,650,658,661,672,681,693,703,707,718,727,736,738,750,757,765,773,786,796,804,806,822,824,836,846,856,864,873,876,887,892,899,910,921,928,937,949,951,966,969,978,992,996,1002,1017,1022,1030,1043,1049,1055,1065,1076,1081,1093,1097,1109,1114,1123,1133,1142,1153,1157,1166	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
6,10,19,32,36,44,56,60,74,85,88,99,108,118,125,132,139,153,155,169,177,193,326,331,341,345,360,363,372,384,394,401,409,420,428,437,444,599,605,611,618,633,638,648,657,665,671,685,687,696,709,716,721,733,741,749,760,767,776,785,794,798,808,818,828,835,840,852,860,873,881,891,894,900,913,922,930,937,949,958,964,970,984,987,994,1006,1018,1023,1034,1041,1047,1058,1070,1071,1082,1095,1102,1110,1120,1121,1136,1142,1151,1156,1166,1174	0,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,14,22,28,37,47,52,64,69,84,86,100,109,117,127,134,141,147,157,166,171,180,321,328,343,350,355,363,375,386,392,397,411,417,423,436,444,447,603,612,619,627,639,646,660,668,672,684,687,696,705,719,728,729,744,752,757,768,779,782,793,802,811,817,830,832,840,853,862,874,877,887,891,900,915,920,929,938,943,954,965,968,978,987,994,1010,1019,1021,1028,1042,1049,1061,1067,1077,1081,1094,1097,1111,1120,1126,1132,1144,1148,1161,1167,1176	1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,16,22,32,36,45,51,66,76,77,90,100,105,116,121,128,141,153,154,163,171,314,324,327,340,349,353,367,376,381,389,399,411,417,422,432,441,599,602,613,624,634,641,645,653,665,675,684,694,697,710,719,723,735,745,752,759,768,774,785,793,797,810,816,824,835,845,848,861,867,877,885,894,903,913,917,931,937,945,952,962,969,981,988,995,1009,1017,1027,1032,1039,1046,1054,1067,1071,1084,1094,1104,1107,1117,1124,1135,1145,1149,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,17,33,41,47,53,67,71,80,85,99,110,113,122,131,138,146,161,168,175,183,318,331,342,344,358,366,376,379,390,401,410,416,426,436,444,466,602,617,626,629,641,645,659,666,673,682,693,701,704,719,725,736,738,753,761,767,777,781,793,800,807,819,827,837,840,848,860,869,878,887,899,907,909,923,930,942,946,951,964,971,984,987,998,1009,1015,1026,1032,1043,1051,1058,1066,1072,1085,1092,1104,1112,1119,1121,1132,1146,1151,1160,1169,1177	1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,23,30,42,49,54,66,68,82,92,94,107,111,125,135,141,146,155,167,172,194,318,327,342,349,355,368,375,381,391,402,405,420,424,430,444,467,608,617,623,631,636,648,652,667,676,680,691,701,705,715,722,735,738,749,754,767,774,781,795,802,808,818,828,833,847,848,858,865,876,884,898,906,914,923,928,937,945,956,962,976,978,992,1001,1009,1014,1022,1032,1037,1045,1059,1063,1071,1082,1090,1104,1111,1119,1125,1137,1143,1151,1163,1164,1178	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,20,29,41,50,59,67,74,78,87,102,109,117,124,129,143,151,160,163,174,192,320,334,337,350,358,365,373,380,388,401,410,417,423,437,438,596,604,609,618,634,637,650,656,664,672,685,694,696,706,717,728,732,738,751,756,771,776,781,790,804,811,816,823,838,846,848,865,867,879,884,894,906,916,919,931,935,946,951,964,973,980,991,1002,1007,1012,1026,1030,1038,1045,1057,1069,1076,1085,1095,1101,1107,1118,1126,1137,1139,1149,1162,1171,1174	0,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,8,19,26,36,42,57,65,71,84,89,99,102,116,124,131,136,150,161,169,176,185,324,335,341,352,357,367,377,379,388,400,410,418,424,429,441,596,609,612,622,634,639,644,658,667,676,679,692,699,710,716,725,733,738,752,757,766,777,783,790,798,809,822,829,835,842,848,864,868,875,886,894,900,912,923,927,937,942,957,962,970,979,991,994,1006,1012,1022,1033,1039,1050,1058,1070,1071,1086,1088,1098,1108,1115,1126,1131,1139,1151,1164,1165,1176	0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,8,21,29,36,42,51,62,68,80,85,96,106,117,126,131,138,147,154,168,171,182,318,327,335,352,358,361,377,379,391,397,410,416,420,435,443,596,609,617,619,633,636,650,656,661,671,686,691,702,705,716,724,729,745,754,755,768,777,787,795,805,811,815,824,832,845,856,858,873,876,889,891,905,912,924,930,937,944,958,959,974,983,990,998,1008,1015,1021,1035,1036,1049,1055,1063,1078,1080,1091,1103,1105,1115,1123,1132,1147,1150,1156,1169,1173	0,0,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,18,26,38,50,54,67,72,82,87,94,105,116,120,129,144,153,157,169,178,190,321,330,341,351,357,361,377,386,392,395,406,413,425,435,445,598,606,617,626,635,641,651,659,668,674,683,693,697,708,712,723,734,745,751,759,767,773,783,789,801,813,815,830,834,845,848,862,865,881,890,898,905,910,918,933,936,948,956,966,976,982,991,1000,1007,1011,1020,1036,1039,1051,1056,1064,1078,1082,1094,1100,1105,1114,1122,1137,1141,1148,1162,1166,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,13,20,27,40,48,56,61,68,77,91,102,110,114,128,133,141,153,161,170,171,313,325,331,340,350,358,367,370,384,389,399,404,413,426,431,438,468,608,611,622,634,637,645,658,664,675,678,694,701,710,719,720,733,744,751,756,765,773,785,789,800,813,815,831,835,846,856,860,869,882,888,893,903,915,916,931,933,944,952,962,974,979,992,1001,1008,1017,1020,1028,1038,1050,1061,1064,1073,1083,1091,1101,1108,1115,1130,1138,1141,1148,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,32,36,50,53,66,68,84,92,96,103,112,119,132,144,151,155,170,171,316,324,334,341,350,356,362,372,380,393,395,404,420,428,431,443,465,603,613,623,630,640,649,658,667,669,683,687,702,707,717,722,735,739,749,759,768,777,788,791,805,812,815,824,832,847,854,863,872,876,887,891,904,908,922,930,935,949,956,961,972,983,985,996,1009,1017,1024,1032,1041,1046,1056,1067,1071,1083,1087,1102,1112,1113,1126,1138,1146,1155,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,32,37,48,53,65,73,82,92,100,110,118,125,129,143,147,160,164,179,315,325,335,343,349,355,369,373,386,391,397,408,417,421,437,439,597,602,610,620,631,640,650,654,664,674,678,693,695,708,720,722,731,741,748,757,763,775,783,793,801,806,818,824,837,841,854,865,871,876,883,894,901,909,923,926,934,950,956,962,972,978,991,1001,1010,1017,1027,1032,1042,1049,1061,1063,1075,1085,1091,1101,1111,1121,1130,1137,1141,1147,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,30,37,51,53,67,69,81,85,97,104,112,126,130,138,151,157,166,175,315,321,331,342,348,356,362,373,381,395,396,405,412,421,435,438,599,607,612,625,629,639,643,654,663,670,680,687,697,707,719,723,734,739,751,755,765,773,783,792,797,812,814,824,838,843,848,859,870,882,887,892,904,908,920,930,941,944,952,964,975,979,986,998,1003,1011,1022,1036,1040,1051,1061,1069,1071,1087,1091,1099,1108,1119,1123,1132,1146,1151,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,29,34,46,58,62,74,78,86,99,110,111,127,128,142,152,160,164,174,315,324,331,342,345,353,361,371,386,393,399,404,415,422,432,444,598,607,617,620,629,635,648,653,664,669,678,687,699,709,716,727,736,740,750,760,765,775,783,788,802,812,822,830,832,846,855,862,869,878,889,898,900,908,925,932,937,945,955,967,975,978,986,999,1009,1016,1020,1036,1044,1050,1055,1070,1074,1081,1094,1098,1109,1114,1125,1131,1139,1148,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,18,28,34,44,56,67,73,80,85,99,104,117,127,132,140,150,156,163,171,314,324,330,340,344,356,367,376,384,389,397,410,420,423,429,442,597,605,617,621,629,638,649,652,663,672,679,687,698,708,719,724,732,744,754,757,771,778,784,789,800,809,818,829,837,840,856,860,873,880,889,892,901,914,920,931,940,950,955,962,970,976,989,994,1006,1018,1019,1030,1036,1051,1054,1063,1072,1083,1094,1102,1111,1116,1128,1136,1147,1150,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,19,33,34,50,56,67,72,76,85,101,110,119,125,128,138,145,154,167,173,314,318,330,341,348,352,365,376,383,392,400,409,419,428,437,444,599,601,610,625,627,636,645,657,667,674,679,694,698,704,713,725,736,742,750,760,769,777,783,791,799,810,814,830,835,843,849,864,868,877,883,894,903,910,925,928,941,945,953,966,975,982,985,1000,1004,1011,1025,1034,1044,1050,1055,1066,1073,1087,1088,1097,1105,1119,1126,1138,1139,1151,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,25,33,39,44,58,65,70,78,90,98,109,114,122,135,140,149,157,168,178,317,326,331,342,346,353,365,370,379,391,395,407,420,425,433,440,461,603,610,626,629,636,644,660,669,673,678,693,697,705,719,727,732,742,751,756,767,774,780,790,803,806,816,825,837,843,850,860,867,877,882,892,902,911,917,925,942,948,956,967,970,984,992,994,1003,1015,1020,1032,1040,1048,1061,1066,1078,1080,1090,1102,1107,1113,1128,1137,1139,1154,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,28,37,49,52,61,74,82,92,97,106,115,124,132,144,149,155,163,174,185,320,330,336,345,359,368,371,379,390,398,405,413,427,431,443,598,600,615,624,629,639,650,653,667,677,684,691,701,710,718,724,730,742,753,760,766,771,787,790,801,805,817,831,838,842,853,858,869,880,885,896,908,911,925,927,935,943,954,966,968,981,989,995,1005,1012,1021,1033,1043,1053,1059,1066,1071,1085,1094,1099,1106,1119,1124,1135,1145,1150,1162,1172,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
1,12,20,30,39,47,56,65,71,79,89,100,108,112,124,135,142,151,158,169,179,313,319,334,337,348,356,364,371,378,391,397,410,417,427,429,439,596,604,611,618,631,639,648,657,664,677,680,693,696,704,717,726,731,739,748,761,771,776,786,789,802,806,822,829,834,844,853,859,872,881,883,893,903,909,924,933,937,950,958,964,968,977,985,994,1004,1019,1021,1034,1039,1049,1057,1062,1077,1085,1093,1100,1112,1117,1130,1133,1139,1154,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,26,38,48,53,63,69,82,92,93,105,114,121,129,138,151,153,162,174,317,321,328,338,350,355,364,371,385,389,399,406,412,428,432,443,598,603,609,619,626,641,650,654,663,676,686,693,701,705,719,721,735,739,750,762,771,775,782,793,803,809,822,828,833,846,854,864,872,874,889,893,904,916,921,930,937,949,954,967,975,979,989,997,1009,1018,1023,1028,1037,1052,1054,1067,1071,1084,1093,1102,1110,1115,1123,1132,1140,1148,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,30,37,43,59,67,71,78,89,101,108,118,124,130,139,152,157,164,170,315,322,330,338,352,358,367,371,384,389,399,410,412,422,429,443,599,602,614,621,630,637,650,656,664,676,678,688,701,703,716,720,735,741,748,758,766,771,788,791,802,811,815,827,838,845,854,865,872,874,884,891,907,910,919,928,934,945,951,965,973,983,986,995,1010,1017,1024,1031,1037,1050,1057,1065,1079,1082,1093,1103,1113,1119,1125,1137,1146,1152,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,33,41,49,55,62,71,84,85,102,110,112,123,132,141,152,160,168,176,316,324,330,336,344,355,364,374,383,394,403,407,416,421,436,439,468,603,616,622,634,637,647,657,669,676,683,688,700,704,715,728,729,741,751,759,770,778,788,789,805,806,820,824,837,847,856,859,870,878,887,895,905,916,922,928,937,949,955,961,972,983,989,1001,1007,1014,1024,1035,1041,1050,1058,1070,1075,1087,1094,1096,1107,1120,1124,1137,1139,1154,1161,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,25,36,49,57,61,69,79,90,98,106,112,121,132,138,146,156,165,176,189,324,333,338,345,353,367,374,385,389,403,404,413,429,437,438,596,607,609,620,633,636,643,659,664,671,683,689,700,706,719,728,729,741,754,761,766,776,781,791,804,806,822,826,833,841,851,863,872,876,884,897,901,915,921,930,935,944,959,963,970,984,993,1002,1008,1011,1025,1033,1041,1049,1060,1063,1073,1083,1093,1098,1112,1119,1126,1134,1143,1149,1161,1171,1175	0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,15,24,29,37,50,55,63,69,83,91,101,107,114,121,136,142,153,154,166,178,314,321,332,338,344,360,365,376,384,389,397,404,413,421,435,445,599,603,610,619,633,642,647,656,663,670,682,692,702,703,716,724,735,742,750,755,764,773,788,796,805,809,822,831,834,847,855,858,867,879,883,899,906,915,922,926,942,947,954,966,974,977,990,994,1005,1012,1027,1034,1043,1051,1058,1066,1070,1081,1088,1099,1110,1119,1126,1131,1142,1149,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,33,38,47,55,65,68,77,91,100,105,119,127,130,144,148,162,165,176,317,322,333,338,344,355,368,373,383,386,398,406,415,426,430,437,598,605,613,618,630,640,647,658,662,674,679,690,701,709,716,721,733,740,754,759,768,775,780,792,797,807,819,823,838,842,853,857,868,879,885,895,903,909,923,925,934,950,953,960,970,977,992,995,1004,1019,1023,1035,1039,1050,1054,1062,1076,1087,1093,1100,1108,1119,1123,1138,1139,1152,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,29,35,43,57,65,75,82,90,100,103,117,121,136,140,150,157,163,177,313,320,331,335,349,353,368,372,385,391,403,410,419,428,432,439,597,601,613,622,627,640,644,660,667,671,685,687,701,709,720,727,737,740,754,762,766,772,786,795,803,811,819,827,833,847,854,860,870,875,887,892,901,912,921,933,934,950,955,966,972,980,987,1000,1006,1017,1019,1034,1038,1045,1061,1070,1078,1086,1092,1101,1111,1115,1129,1133,1145,1151,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,25,42,44,58,63,75,78,86,96,105,116,121,133,143,151,159,162,172,314,319,330,340,350,356,362,370,385,392,403,407,415,423,436,442,596,608,612,622,631,641,645,655,664,676,679,693,697,709,719,724,733,745,749,758,771,775,783,792,805,808,814,825,835,846,850,860,873,876,890,896,907,913,917,926,941,945,956,959,972,979,990,1000,1004,1018,1021,1033,1037,1051,1054,1069,1075,1084,1096,1098,1105,1121,1124,1133,1143,1153,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,29,34,49,52,64,75,81,86,98,103,115,123,134,137,147,159,167,170,318,326,334,337,351,358,367,375,380,389,401,407,420,429,430,439,453,608,616,625,627,635,648,654,664,669,684,693,702,706,718,726,737,742,747,757,764,778,785,795,805,809,818,830,834,845,850,862,871,880,888,897,905,909,922,927,939,947,958,966,976,984,993,1001,1007,1019,1027,1028,1041,1053,1056,1064,1078,1081,1095,1103,1109,1116,1126,1135,1142,1154,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,25,42,49,54,65,74,84,93,95,106,112,125,135,144,152,156,162,175,316,325,334,343,352,357,364,373,383,391,402,404,416,422,437,438,599,603,609,625,629,638,648,655,667,672,679,693,695,711,718,720,736,738,751,754,764,777,784,793,801,813,817,827,835,846,848,864,867,882,890,893,900,914,919,927,942,945,951,962,968,979,986,999,1004,1017,1027,1030,1037,1050,1056,1069,1073,1085,1088,1097,1105,1114,1129,1134,1143,1151,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,33,34,45,56,63,74,84,89,102,105,111,119,133,138,146,161,162,176,317,320,334,335,351,359,362,375,381,389,400,406,413,425,435,443,597,608,614,618,632,635,646,659,664,669,682,692,703,710,712,726,737,743,752,755,766,772,787,789,805,811,821,825,835,847,849,863,867,881,886,892,903,909,917,931,940,947,954,963,970,982,987,1001,1002,1013,1024,1034,1039,1047,1059,1067,1072,1083,1094,1104,1108,1117,1126,1137,1138,1147,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,20,27,37,44,57,64,70,77,93,94,105,113,125,130,144,146,159,167,178,316,324,328,336,347,357,369,370,385,393,400,404,419,428,436,441,597,607,613,622,630,642,643,657,668,677,683,694,702,708,716,727,729,739,748,756,765,777,787,793,804,810,815,827,838,841,853,859,869,876,890,891,903,913,920,925,942,947,959,964,976,977,987,997,1007,1014,1022,1030,1042,1045,1059,1066,1073,1083,1093,1097,1104,1115,1123,1132,1145,1148,1160,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,29,39,49,57,65,71,83,93,96,103,116,124,132,138,147,160,163,176,314,326,333,335,348,358,366,370,381,389,401,408,417,422,436,441,454,601,614,625,631,643,649,655,668,676,684,692,702,706,715,723,729,745,748,758,764,774,781,795,797,806,819,825,837,847,856,865,867,879,883,895,904,916,923,933,937,949,953,964,969,981,988,1001,1004,1016,1020,1031,1038,1045,1054,1067,1075,1083,1090,1101,1109,1121,1130,1131,1139,1147,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,27,35,47,53,59,75,79,93,95,103,114,122,131,143,145,159,168,172,315,322,334,341,346,352,361,377,378,389,401,411,413,423,435,441,598,606,616,625,631,635,652,660,664,675,685,694,699,706,714,722,729,739,746,755,766,772,787,797,798,814,816,823,839,847,854,861,866,877,882,897,902,915,918,927,937,946,951,965,969,978,993,999,1009,1012,1020,1031,1044,1049,1060,1070,1073,1087,1095,1096,1110,1120,1123,1136,1144,1149,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,31,36,45,58,61,72,83,87,101,103,117,119,129,138,145,162,164,171,314,326,327,336,346,360,366,375,378,389,399,406,420,427,431,445,600,607,613,621,627,637,645,652,663,670,684,686,696,706,716,724,729,743,748,758,770,775,781,791,803,807,817,825,837,847,849,859,873,880,890,894,905,910,925,933,937,943,958,962,975,979,990,1000,1007,1010,1023,1031,1039,1052,1060,1062,1076,1082,1094,1102,1112,1117,1129,1133,1140,1154,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,31,40,49,59,65,76,81,86,96,110,118,126,135,141,152,158,170,173,314,318,330,343,347,359,369,372,385,387,395,409,415,422,434,440,467,604,611,625,633,636,644,654,662,673,681,692,702,709,719,724,729,745,747,756,765,772,787,793,797,807,815,828,833,840,850,863,873,878,885,898,902,910,918,933,940,949,957,961,970,980,988,996,1003,1014,1027,1028,1038,1048,1060,1062,1073,1080,1092,1101,1105,1116,1128,1130,1140,1147,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,22,26,40,44,58,63,68,78,85,101,104,118,122,133,138,147,154,165,174,184,321,335,343,349,357,369,374,381,391,395,411,413,422,429,439,455,602,615,621,634,640,644,659,669,677,682,689,696,707,714,725,730,743,749,761,764,777,787,794,805,806,822,830,836,843,853,862,866,876,887,894,901,912,919,925,937,945,952,966,971,976,990,997,1010,1014,1023,1029,1043,1047,1058,1070,1079,1080,1095,1097,1104,1117,1127,1134,1140,1150,1160,1164,1176	0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,21,27,38,49,57,61,76,79,88,99,109,114,124,132,139,147,158,163,175,185,319,331,338,345,355,365,376,382,391,395,410,412,421,437,439,597,601,610,625,627,642,646,654,667,674,685,690,700,705,715,726,731,739,754,761,765,776,787,795,801,807,817,825,837,846,852,864,870,874,888,893,900,908,917,930,942,948,959,967,971,979,992,997,1009,1012,1025,1032,1041,1048,1060,1069,1073,1085,1094,1099,1105,1115,1127,1137,1142,1154,1163,1167	1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,14,23,25,37,47,54,65,72,84,89,96,107,112,126,129,141,146,162,165,175,179,318,334,341,348,356,365,377,381,387,397,406,418,421,435,443,596,604,616,623,629,637,650,657,665,671,677,691,696,709,715,728,729,744,750,761,767,776,784,795,797,809,815,827,834,842,855,864,867,881,884,894,906,914,919,931,936,950,958,966,972,982,990,1001,1007,1014,1023,1033,1037,1047,1059,1068,1074,1079,1089,1101,1105,1117,1126,1134,1147,1151,1158,1169,1175	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,9,19,26,42,48,57,64,72,80,93,100,107,117,122,128,139,153,158,165,176,195,325,329,337,346,360,366,373,380,393,401,405,414,421,434,443,468,609,615,624,627,643,646,654,665,669,684,691,700,707,714,722,734,744,752,762,767,775,782,788,800,814,816,831,836,847,854,860,869,874,889,897,905,916,919,932,939,946,954,966,969,981,985,993,1007,1012,1020,1031,1038,1048,1054,1063,1078,1080,1095,1103,1105,1118,1126,1138,1142,1154,1163,1164,1174	1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,22,28,38,44,58,60,69,82,87,100,108,112,124,128,139,151,161,168,173,179,323,331,340,347,356,364,371,381,388,396,408,414,423,433,445,596,607,616,619,632,640,647,659,663,671,678,692,698,710,715,726,731,743,749,760,769,780,783,794,799,807,816,825,838,845,856,859,866,877,885,899,902,908,919,927,935,948,959,968,969,984,988,995,1004,1018,1025,1032,1040,1045,1055,1064,1074,1080,1090,1102,1112,1118,1125,1136,1145,1148,1161,1164,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,20,30,34,47,54,66,71,79,89,99,102,119,125,132,143,150,157,164,178,190,326,330,343,345,356,368,376,385,388,395,410,413,426,433,440,598,607,615,620,633,638,651,653,667,673,681,691,699,708,715,726,731,742,748,756,769,775,781,792,799,814,818,827,833,848,852,864,874,876,883,894,902,913,921,932,934,945,955,965,969,983,990,1002,1009,1016,1023,1034,1039,1047,1060,1063,1075,1079,1093,1101,1107,1118,1124,1135,1144,1150,1162,1168,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,17,25,36,45,56,65,73,81,93,97,109,116,121,129,140,148,155,167,174,191,320,329,340,350,355,367,376,379,393,397,404,414,428,429,441,598,607,614,622,630,642,648,652,665,672,685,690,702,708,715,727,731,740,753,755,763,777,784,796,800,811,821,830,832,845,853,862,873,882,885,892,900,911,918,933,939,944,953,963,975,982,986,996,1006,1011,1026,1029,1038,1052,1060,1069,1079,1084,1091,1101,1108,1115,1123,1138,1139,1153,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,25,26,38,47,57,66,74,81,87,94,104,112,122,136,137,150,156,168,173,188,325,330,337,348,360,367,372,378,387,402,411,414,420,436,444,452,605,614,618,629,637,644,654,665,674,683,690,702,705,716,721,730,740,748,760,764,773,783,792,804,810,817,828,838,847,851,857,871,877,887,894,902,911,924,931,935,943,957,962,972,980,986,998,1005,1013,1019,1035,1041,1048,1056,1065,1078,1086,1095,1103,1107,1117,1127,1135,1143,1148,1161,1169,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,19,31,37,43,56,66,76,81,93,101,107,112,126,128,139,151,155,162,177,313,320,328,339,351,356,362,373,379,393,400,407,418,421,434,442,450,606,611,618,627,639,644,656,662,670,680,689,703,710,712,721,731,743,749,760,764,776,786,790,800,806,819,830,834,842,856,860,869,875,882,897,904,912,918,927,934,947,956,961,970,976,986,1000,1003,1017,1022,1032,1040,1052,1053,1068,1078,1080,1089,1098,1111,1118,1125,1135,1143,1151,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,26,40,45,58,61,69,83,87,100,106,115,122,135,141,148,156,162,173,184,323,333,338,351,355,363,374,380,390,403,405,417,421,437,444,597,604,617,620,631,636,645,657,667,673,681,691,701,709,718,722,729,738,749,755,765,777,785,790,797,809,822,827,832,846,856,857,867,878,890,895,906,912,918,932,938,943,955,965,970,985,993,996,1008,1012,1022,1035,1043,1048,1057,1062,1075,1080,1088,1098,1108,1114,1127,1132,1145,1155,1159,1167	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
3,15,21,30,36,50,56,61,71,81,86,95,105,117,122,133,137,150,158,163,177,180,321,332,335,351,356,363,372,381,388,401,409,420,428,435,442,596,602,616,620,633,639,644,655,665,675,685,687,701,711,718,725,731,738,751,762,768,779,783,796,805,810,818,828,838,846,850,862,872,877,885,895,902,912,922,931,942,943,959,962,969,977,987,999,1007,1016,1023,1030,1036,1046,1056,1067,1077,1085,1090,1101,1106,1119,1125,1131,1143,1152,1159,1171	1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,25,26,41,48,55,65,76,80,91,97,102,117,121,134,144,153,161,169,171,180,322,330,343,346,357,368,372,383,393,398,407,412,427,431,441,468,607,610,622,627,638,647,654,666,674,678,689,701,704,717,726,730,737,752,757,770,772,786,791,804,808,820,823,838,843,850,862,869,874,890,892,899,912,918,932,940,945,953,960,968,979,989,994,1003,1016,1022,1028,1041,1052,1059,1065,1074,1084,1090,1097,1106,1115,1125,1137,1140,1148,1160,1172,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,31,41,44,56,63,74,79,93,97,106,111,119,133,143,150,154,165,177,180,323,331,336,349,358,364,370,383,390,401,405,415,425,431,438,597,601,612,620,631,643,651,659,668,674,680,691,696,706,717,722,731,738,746,756,768,776,785,793,805,814,815,828,835,845,850,862,867,878,885,894,906,916,918,932,936,944,953,964,968,977,988,998,1009,1013,1025,1034,1042,1052,1061,1066,1072,1081,1093,1098,1106,1118,1126,1135,1144,1148,1163,1164,1178	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,18,28,40,49,53,67,73,83,90,99,104,112,125,132,142,150,155,168,171,181,320,334,340,347,357,363,375,381,389,398,407,412,424,437,441,467,605,613,623,632,636,651,652,663,669,678,694,695,705,717,726,732,741,753,758,768,779,783,793,801,808,817,824,838,842,853,857,867,879,884,899,907,915,918,929,937,949,956,962,975,980,993,997,1005,1011,1025,1029,1039,1047,1056,1068,1074,1079,1091,1097,1112,1118,1123,1133,1143,1148,1159,1166,1174	0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,17,26,39,49,59,65,68,83,86,98,104,117,121,135,142,146,159,168,175,188,326,329,337,344,358,366,375,380,394,399,407,412,421,435,440,449,607,617,620,634,638,651,657,666,671,683,690,698,710,714,722,734,742,752,758,766,777,787,794,804,811,821,827,837,844,856,865,870,876,884,897,905,913,919,932,938,943,956,965,976,979,985,999,1006,1012,1026,1035,1041,1046,1059,1066,1073,1085,1088,1103,1108,1117,1127,1136,1146,1150,1158,1168,1176	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,31,39,47,51,59,72,85,92,96,102,118,124,130,139,147,159,163,179,313,325,329,342,345,360,365,375,386,388,398,404,414,423,431,439,454,607,610,620,629,643,646,654,665,669,683,690,701,708,716,723,731,740,752,757,768,779,780,790,803,812,820,829,837,840,855,862,870,877,885,896,906,909,918,927,935,948,957,966,972,984,993,994,1010,1012,1023,1033,1043,1045,1058,1068,1070,1083,1089,1100,1105,1115,1128,1135,1141,1148,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,28,36,45,59,64,69,81,89,95,106,117,121,135,136,145,156,165,171,314,321,329,340,346,359,367,375,386,394,396,409,420,422,430,438,597,606,614,619,629,637,646,657,662,677,678,688,699,710,716,723,734,746,747,757,768,774,782,790,803,807,817,826,837,841,857,860,866,879,883,892,906,911,918,927,937,945,952,963,974,984,987,1001,1005,1014,1025,1035,1041,1048,1061,1067,1077,1082,1089,1103,1107,1118,1124,1135,1144,1153,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,29,41,47,59,61,76,81,89,100,105,117,125,133,140,148,155,167,176,313,321,328,341,344,354,363,374,386,394,399,406,414,423,436,438,455,606,611,626,632,637,651,656,661,673,682,691,696,706,713,722,736,737,750,761,764,771,788,793,798,812,817,828,838,843,856,858,868,881,887,895,901,911,923,925,940,946,957,967,971,979,989,1000,1003,1018,1026,1036,1041,1047,1056,1065,1073,1079,1090,1101,1106,1121,1129,1135,1145,1151,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,29,41,45,57,63,75,79,91,99,109,113,126,136,144,149,157,167,173,317,324,335,339,349,357,369,373,382,392,397,407,416,428,437,443,597,605,614,625,633,641,644,657,663,674,682,692,699,705,714,721,729,739,752,758,768,773,788,793,805,813,814,824,832,841,854,861,869,878,886,894,906,911,922,932,942,944,957,959,972,982,988,995,1006,1012,1021,1028,1044,1051,1055,1064,1077,1086,1095,1101,1111,1116,1127,1134,1143,1153,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,33,36,44,55,65,74,83,90,94,104,116,126,131,138,152,155,162,179,314,318,334,338,345,360,361,377,381,391,403,409,419,422,437,438,454,601,610,622,632,640,650,659,668,670,679,689,702,711,714,727,731,738,753,757,767,777,782,796,804,807,822,826,836,846,855,864,872,881,886,895,905,915,919,927,937,943,958,961,975,979,992,996,1010,1016,1024,1031,1037,1053,1061,1067,1070,1080,1094,1104,1112,1118,1124,1132,1139,1153,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,23,33,38,45,51,60,75,84,88,101,110,114,120,130,140,149,154,165,173,316,318,333,340,349,356,367,374,382,394,401,412,416,427,430,439,596,606,613,621,629,640,647,656,664,677,683,687,696,708,714,722,730,742,746,757,770,779,788,792,799,813,816,825,839,844,851,860,871,877,882,898,905,909,918,925,942,946,955,964,975,976,986,995,1007,1017,1025,1031,1038,1050,1059,1066,1071,1081,1093,1096,1109,1120,1126,1131,1143,1155,1164,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,21,31,34,47,56,66,73,81,86,97,106,114,122,130,139,145,161,163,173,316,324,330,342,349,352,369,370,379,389,396,410,413,428,435,441,596,605,617,620,632,635,646,656,667,677,681,688,702,705,713,724,737,741,749,760,768,776,783,790,802,808,818,824,834,841,853,864,868,878,886,891,905,912,923,932,941,947,954,967,973,983,990,993,1003,1016,1026,1033,1038,1050,1057,1070,1072,1085,1092,1103,1107,1120,1128,1136,1139,1149,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,32,40,49,56,68,75,85,86,99,110,114,123,130,138,148,156,166,176,314,325,333,343,346,352,367,369,382,391,401,404,413,421,431,445,598,603,611,625,627,641,650,660,663,670,678,690,701,703,712,725,729,741,753,755,765,772,781,791,805,810,822,826,836,844,850,860,868,880,887,895,903,911,924,927,941,948,952,965,969,978,988,1001,1009,1012,1021,1033,1036,1045,1053,1069,1071,1085,1093,1098,1105,1115,1123,1130,1139,1154,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,29,35,47,59,61,72,77,88,101,106,115,119,131,142,153,154,170,171,193,320,333,341,344,353,368,377,386,393,401,406,420,427,432,439,597,606,616,620,629,640,648,652,662,677,682,688,701,711,720,724,731,738,749,759,768,774,785,794,805,811,815,830,835,845,853,861,867,875,885,896,905,915,917,926,935,947,955,966,969,978,992,995,1003,1015,1021,1029,1040,1049,1061,1062,1071,1085,1096,1099,1111,1120,1126,1135,1143,1149,1159,1166,1175	1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,18,27,40,49,58,61,74,79,89,94,104,111,121,134,139,151,161,162,175,316,321,331,343,346,356,363,370,381,391,402,411,412,426,429,444,598,606,614,625,633,638,648,656,664,670,677,694,703,707,719,720,735,738,747,757,765,775,780,791,803,812,820,830,833,840,850,864,868,877,884,892,903,910,919,927,939,946,951,964,971,981,993,997,1008,1015,1021,1030,1041,1049,1054,1064,1078,1080,1088,1097,1108,1116,1125,1136,1142,1152,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,26,37,43,59,61,70,81,89,96,110,117,121,128,141,152,153,165,174,314,319,329,340,350,357,368,377,378,389,401,409,414,424,429,442,460,601,614,626,627,636,647,659,663,671,682,688,695,710,715,725,732,738,752,757,764,777,784,792,805,813,821,824,837,845,854,858,870,879,883,892,903,909,924,930,936,949,954,960,976,979,993,998,1006,1017,1021,1031,1040,1046,1056,1070,1077,1082,1093,1100,1108,1120,1126,1137,1146,1151,1161,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,26,35,46,51,62,74,82,88,96,108,118,122,130,143,150,158,170,176,317,326,328,340,345,359,363,374,385,388,396,409,414,425,432,442,596,608,611,621,629,638,648,660,667,672,685,694,696,709,713,721,729,742,749,756,769,773,781,794,798,810,820,824,831,841,851,859,866,874,883,892,907,911,919,931,938,949,952,963,973,984,991,995,1003,1011,1021,1032,1039,1047,1058,1066,1071,1081,1096,1100,1109,1116,1127,1138,1139,1148,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,27,36,50,54,67,75,82,92,98,108,116,123,132,140,149,155,168,173,315,320,331,337,346,360,363,369,386,389,402,406,416,421,429,441,448,602,612,620,630,639,650,657,666,675,679,690,699,705,719,721,732,741,747,756,770,773,786,793,805,807,816,829,839,848,856,858,871,881,888,892,900,908,921,928,936,945,957,965,970,978,992,995,1006,1014,1026,1029,1039,1048,1060,1067,1077,1081,1092,1099,1113,1119,1122,1134,1139,1151,1157,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,28,35,48,52,63,75,84,92,100,104,118,121,130,141,147,156,166,171,185,322,331,337,344,357,363,372,385,388,396,405,412,427,434,438,600,605,609,621,629,639,644,660,663,677,681,689,700,710,716,723,730,740,748,759,770,773,781,795,801,810,819,826,838,845,851,865,872,877,887,893,902,913,921,929,938,948,952,968,976,982,991,1000,1004,1015,1022,1031,1036,1052,1054,1065,1076,1080,1088,1096,1108,1114,1127,1133,1139,1147,1161,1168,1173	0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,23,33,35,43,53,66,68,82,86,100,104,111,121,134,139,150,160,162,172,314,325,331,336,345,356,363,371,381,389,399,411,418,429,430,438,600,608,611,625,628,637,647,660,668,673,685,686,700,705,717,724,733,744,753,760,765,778,786,796,802,807,815,828,835,846,855,865,869,881,887,897,899,910,923,933,937,946,956,963,971,983,991,995,1004,1018,1020,1032,1037,1045,1055,1065,1077,1080,1096,1103,1111,1114,1128,1135,1144,1147,1157,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,28,35,44,52,65,71,80,85,97,105,113,124,132,141,145,162,168,174,313,320,333,342,347,359,368,369,380,393,400,410,415,423,430,440,597,603,615,620,632,638,648,655,666,674,679,692,702,705,712,728,734,739,752,755,767,775,782,790,803,809,816,828,839,843,849,863,871,877,890,896,903,913,919,925,936,946,957,966,974,981,992,996,1003,1017,1027,1035,1036,1051,1061,1062,1072,1082,1091,1096,1112,1116,1128,1138,1142,1153,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,20,26,35,49,56,62,71,81,91,96,109,111,122,133,137,149,159,166,171,314,321,327,335,344,352,366,372,382,391,395,404,420,424,429,440,450,605,610,618,634,643,649,658,665,671,684,690,698,704,719,726,737,743,749,754,768,779,787,790,804,808,819,823,839,841,854,861,869,876,888,897,900,915,921,933,934,950,952,967,972,981,988,995,1006,1015,1021,1036,1043,1049,1059,1070,1071,1080,1090,1097,1112,1116,1126,1136,1143,1153,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,27,35,49,55,67,70,81,86,97,105,119,124,134,139,150,156,169,170,316,322,330,339,344,358,368,375,384,387,401,410,414,421,433,439,469,601,615,626,630,642,648,653,665,670,685,688,701,707,714,727,730,740,746,757,767,779,782,795,797,811,817,826,837,841,851,863,867,882,889,898,905,911,925,929,940,946,956,965,969,976,992,994,1008,1014,1020,1034,1037,1052,1055,1062,1071,1081,1090,1102,1109,1115,1123,1133,1142,1154,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,29,41,44,54,62,71,83,93,101,103,115,123,129,144,146,154,169,177,313,322,331,343,345,358,367,374,384,389,396,411,420,424,429,443,597,603,614,623,626,639,646,652,666,673,684,686,700,704,714,727,735,740,752,761,767,774,788,793,798,813,822,825,837,847,853,857,871,880,888,894,900,915,922,930,936,947,957,964,976,978,988,1000,1010,1012,1026,1034,1043,1051,1060,1067,1074,1084,1092,1098,1110,1119,1123,1138,1145,1151,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,24,27,36,45,57,63,73,77,90,99,106,113,124,129,141,146,154,167,172,315,324,328,337,349,355,363,374,383,388,399,406,415,427,431,440,449,606,609,625,630,643,646,659,663,672,684,692,699,707,715,726,732,745,746,756,769,775,787,789,802,814,822,823,836,847,848,862,873,876,887,898,903,913,920,931,934,947,957,967,976,983,993,995,1005,1018,1020,1032,1042,1046,1060,1062,1077,1081,1089,1102,1111,1120,1124,1132,1145,1151,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,24,32,40,43,57,67,73,80,92,96,109,112,127,128,136,145,162,167,176,316,322,329,339,346,356,368,373,385,393,399,404,416,422,437,439,598,606,613,625,628,641,651,657,663,671,682,691,700,707,719,727,735,737,752,757,769,776,786,796,805,811,820,825,833,843,850,863,867,875,884,893,903,913,918,933,941,944,952,965,974,983,985,998,1004,1012,1022,1030,1036,1051,1056,1064,1072,1082,1090,1102,1107,1121,1130,1136,1144,1149,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,33,38,45,59,63,72,79,90,94,106,113,125,133,141,149,156,168,171,314,326,327,339,347,354,362,373,386,391,400,408,418,420,436,444,600,605,609,621,629,637,650,658,665,675,682,690,695,711,719,723,734,741,751,756,763,773,788,796,801,811,818,827,839,845,851,860,866,876,882,892,904,912,925,933,940,944,956,960,973,978,986,998,1008,1017,1024,1033,1037,1048,1061,1069,1070,1081,1094,1099,1112,1120,1126,1133,1146,1150,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,26,34,47,57,60,69,81,88,102,105,115,121,135,138,147,156,167,179,317,321,328,340,347,359,363,370,384,391,399,405,416,426,434,444,466,608,612,626,634,637,648,656,662,671,683,693,699,707,712,722,734,742,746,755,764,779,780,791,804,811,821,828,835,840,855,857,870,876,888,891,907,909,922,933,939,947,958,962,974,981,989,996,1008,1015,1026,1032,1041,1045,1056,1062,1076,1084,1094,1098,1107,1117,1123,1136,1145,1153,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,31,38,47,55,65,72,84,91,96,102,115,121,130,140,146,159,167,177,316,325,331,340,350,359,366,373,380,391,396,407,415,425,431,443,466,603,616,620,629,635,645,657,663,675,683,691,701,704,719,728,735,743,750,756,766,778,782,790,800,808,822,826,834,841,855,862,872,875,888,896,901,910,925,933,937,944,957,962,969,985,990,997,1004,1016,1023,1036,1044,1047,1056,1062,1075,1083,1089,1097,1106,1116,1124,1138,1147,1154,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,24,25,35,47,57,61,70,83,92,97,103,114,123,135,139,153,159,164,171,317,320,328,341,345,359,367,372,380,394,398,407,417,428,435,441,598,606,614,621,633,641,645,654,667,677,678,690,696,704,714,721,729,743,750,757,769,773,786,794,797,813,818,828,837,845,856,858,867,881,886,898,906,909,919,932,939,950,957,960,969,983,990,1001,1006,1017,1025,1031,1038,1050,1056,1062,1077,1079,1091,1098,1113,1120,1130,1132,1142,1152,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,29,36,43,57,61,71,78,88,94,105,116,119,135,144,151,156,170,175,314,320,334,340,350,352,368,372,385,390,397,406,420,429,435,441,455,608,617,625,629,641,643,654,664,669,684,691,699,708,716,721,731,744,748,761,767,779,788,794,802,807,819,824,836,840,850,864,869,874,890,897,905,908,919,927,935,945,952,959,973,981,990,994,1010,1014,1021,1029,1040,1050,1058,1069,1070,1081,1088,1104,1112,1120,1127,1135,1146,1154,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,31,41,48,57,62,73,81,93,94,110,116,120,134,142,149,157,163,175,179,321,326,337,349,355,369,372,378,391,397,405,418,424,429,443,598,600,613,619,632,641,647,659,667,669,683,687,695,704,717,723,732,741,748,757,763,777,788,792,802,810,820,831,838,842,853,858,867,881,889,893,905,909,918,928,938,945,952,966,969,983,987,1002,1003,1015,1022,1035,1040,1053,1059,1062,1072,1082,1095,1097,1108,1121,1128,1130,1139,1148,1157,1167,1173	0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
3,14,19,25,41,46,58,60,76,78,92,97,105,114,125,131,145,152,161,169,175,184,318,329,338,352,357,369,375,382,393,395,405,413,422,429,438,465,607,614,621,627,637,651,653,668,673,679,690,698,704,719,724,732,743,751,762,765,779,782,792,798,813,818,826,838,842,851,862,871,881,890,895,904,910,921,930,938,949,959,961,976,984,987,998,1006,1018,1024,1035,1038,1051,1055,1065,1076,1084,1095,1097,1110,1116,1125,1134,1142,1151,1161,1170,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,19,28,37,47,55,60,75,79,91,100,108,117,122,136,141,148,155,169,173,186,319,333,342,344,354,368,373,378,390,401,406,420,429,435,445,463,602,612,621,631,639,649,656,666,670,679,688,699,709,719,726,734,744,750,758,767,779,782,791,800,807,819,827,838,841,850,857,869,881,882,894,905,908,920,929,941,946,955,967,975,982,989,1002,1007,1017,1023,1034,1041,1051,1061,1064,1078,1085,1092,1099,1105,1115,1125,1137,1145,1147,1156,1170,1175	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,19,27,39,43,59,60,73,82,86,98,103,112,122,135,143,153,155,162,172,196,322,327,338,346,357,369,376,384,392,395,405,414,427,436,446,458,607,614,623,634,641,644,659,661,675,683,693,697,704,718,725,735,745,748,757,770,776,782,793,797,808,816,829,833,847,855,858,869,880,887,895,904,912,919,930,934,944,951,964,974,977,991,999,1008,1014,1026,1031,1039,1049,1060,1069,1079,1081,1090,1103,1112,1117,1124,1137,1146,1149,1161,1172,1174	0,0,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,11,18,26,35,43,58,61,73,78,88,97,103,115,120,132,142,151,155,163,179,187,321,330,340,350,355,361,370,380,388,400,405,413,426,432,438,598,605,613,622,633,640,647,657,663,676,684,687,696,705,713,721,732,738,749,756,769,771,782,792,799,808,822,827,832,841,851,865,874,881,883,894,905,911,924,927,938,951,957,966,969,982,993,995,1008,1015,1026,1035,1038,1050,1061,1064,1077,1085,1090,1101,1105,1121,1125,1136,1139,1153,1159,1171	1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,25,28,42,47,59,68,74,83,91,96,103,112,122,128,138,152,160,166,172,182,322,328,341,347,357,361,369,385,394,398,407,419,423,429,439,453,604,616,623,632,638,651,654,662,674,685,693,699,704,712,720,729,739,751,756,763,776,786,796,801,807,816,823,835,843,854,861,865,880,884,892,902,911,923,929,935,950,956,962,973,981,989,1000,1003,1013,1020,1027,1039,1045,1060,1067,1072,1084,1088,1100,1109,1117,1128,1135,1142,1154,1164,1169,1174	0,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,15,19,30,37,43,58,65,74,83,90,98,104,119,124,134,136,151,156,164,179,180,323,328,343,352,354,363,377,381,386,399,408,417,429,433,440,598,602,611,619,632,640,650,659,662,677,685,692,698,705,716,723,732,737,751,756,771,773,781,789,801,812,815,830,835,844,855,864,867,881,891,893,901,915,924,929,936,944,957,962,969,982,993,995,1010,1017,1020,1031,1044,1046,1058,1065,1070,1087,1095,1097,1113,1114,1124,1132,1139,1149,1158,1170	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,14,21,32,41,46,53,62,74,82,88,97,103,119,127,130,144,151,156,169,173,185,326,332,340,350,356,367,377,383,394,399,407,413,420,430,441,455,601,616,620,626,638,651,652,668,672,680,686,694,705,717,726,731,739,751,761,770,776,786,793,800,813,821,824,831,844,849,862,873,875,883,892,904,914,925,928,935,946,952,961,974,980,992,994,1006,1016,1019,1035,1044,1050,1060,1068,1070,1085,1089,1104,1110,1120,1129,1137,1147,1154,1160,1169,1177	1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,22,26,35,47,59,63,71,77,86,100,109,112,125,131,143,147,157,163,174,316,322,327,343,346,359,361,373,378,390,396,411,415,422,436,438,598,603,614,625,633,641,644,658,666,672,681,687,698,708,718,726,734,741,753,761,764,780,784,795,805,808,818,828,836,844,850,860,873,875,888,898,906,908,922,929,938,948,957,962,972,979,986,995,1004,1015,1022,1030,1043,1053,1060,1065,1076,1086,1090,1101,1107,1119,1130,1133,1139,1154,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,25,30,35,47,59,66,69,84,92,95,104,117,122,133,140,145,160,168,174,187,326,329,339,352,357,367,371,379,392,398,410,412,423,437,445,598,609,613,625,627,637,643,652,668,675,678,694,699,708,718,725,735,744,750,755,768,777,786,791,801,807,818,823,838,840,852,864,868,875,885,897,906,908,922,932,938,942,951,967,975,981,986,994,1009,1015,1027,1032,1038,1049,1057,1068,1078,1087,1090,1101,1111,1114,1123,1138,1142,1148,1158,1164	1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,24,27,42,46,51,64,69,85,90,100,109,118,126,133,137,146,153,164,173,193,322,333,339,347,358,362,369,378,387,395,408,414,423,430,440,460,603,615,625,633,637,646,652,668,677,683,686,702,705,715,726,734,744,750,755,764,775,781,796,801,808,819,825,839,845,855,863,867,874,890,896,908,910,924,925,934,949,957,961,969,982,986,1000,1004,1014,1019,1034,1040,1045,1054,1070,1075,1080,1094,1102,1113,1118,1126,1135,1146,1153,1160,1169,1173	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
8,13,23,30,38,44,53,60,72,83,87,95,106,111,124,136,143,150,154,165,178,188,326,329,335,349,359,365,374,383,389,403,406,412,421,433,438,447,605,610,619,628,636,644,657,665,676,680,692,695,710,714,726,733,743,746,755,767,772,788,792,798,812,816,829,834,845,851,859,872,880,883,895,901,915,917,928,937,948,957,966,976,977,988,1001,1006,1013,1022,1031,1041,1047,1058,1068,1073,1082,1091,1102,1107,1120,1128,1136,1140,1151,1157,1172,1173	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,22,26,42,48,57,63,71,82,89,98,109,114,121,136,138,150,157,166,175,185,321,332,338,350,359,365,370,386,390,401,403,415,422,429,444,451,603,617,619,630,640,648,660,667,671,684,690,702,709,716,724,733,740,750,763,768,773,787,797,805,811,818,827,835,843,852,860,872,876,891,897,903,913,922,925,936,943,951,962,971,980,988,995,1006,1016,1025,1032,1044,1048,1058,1069,1075,1085,1089,1100,1111,1115,1127,1133,1144,1148,1157,1166,1173	1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,22,30,37,47,59,61,72,79,91,94,110,114,121,132,137,147,158,162,171,179,323,330,339,346,359,365,371,384,392,403,404,414,423,433,438,596,601,616,618,629,636,651,653,661,676,682,686,700,709,713,722,729,741,750,758,766,773,783,790,805,812,820,830,833,844,853,863,866,880,890,892,905,909,925,931,936,950,957,961,969,979,989,995,1010,1016,1021,1033,1036,1051,1056,1070,1076,1087,1095,1103,1106,1114,1129,1136,1146,1150,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0
0,16,24,29,39,47,57,63,72,79,88,100,102,119,126,131,145,149,159,165,178,220,322,327,341,344,356,367,372,386,388,395,405,417,425,431,440,598,603,617,618,630,635,651,653,665,677,680,694,700,706,717,728,731,742,747,762,764,775,784,788,800,810,820,825,835,840,854,859,873,881,888,897,903,909,920,933,935,947,959,967,968,981,989,1002,1008,1018,1023,1036,1038,1049,1059,1062,1073,1081,1090,1101,1105,1115,1129,1132,1145,1154,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,24,32,36,47,52,61,69,77,93,96,105,116,124,129,141,145,154,165,177,316,324,331,343,350,355,362,369,378,387,397,411,417,421,435,445,596,606,614,623,628,641,649,656,666,677,686,689,701,705,715,723,737,745,752,760,769,772,782,797,799,810,816,828,832,840,853,860,871,881,887,891,901,912,918,933,941,945,953,962,970,979,991,1000,1009,1016,1021,1036,1039,1051,1057,1070,1075,1081,1088,1102,1108,1114,1129,1132,1139,1151,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,31,34,43,54,66,72,80,90,97,110,113,120,130,144,145,159,163,173,316,322,329,342,344,356,367,370,383,389,400,407,418,428,434,441,598,601,616,619,631,640,643,660,662,672,682,686,701,705,712,722,732,743,749,755,763,778,780,793,804,808,821,825,839,845,852,864,867,880,889,891,906,913,922,926,939,950,951,966,969,981,991,1001,1004,1019,1027,1032,1038,1049,1057,1067,1074,1086,1095,1096,1108,1114,1122,1137,1141,1154,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,27,37,49,52,60,72,78,88,99,107,115,119,132,144,147,153,167,173,313,325,330,338,348,359,363,373,383,394,400,408,412,427,431,441,596,609,614,618,628,639,651,656,662,674,683,687,701,703,718,724,729,745,753,758,764,772,788,797,805,813,820,829,832,845,852,860,868,877,890,897,907,912,919,933,941,945,959,960,969,984,991,998,1009,1012,1021,1032,1041,1047,1060,1069,1071,1084,1093,1100,1111,1120,1127,1138,1141,1153,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,25,37,49,53,63,72,77,86,95,107,112,122,131,136,145,162,166,178,317,325,329,340,347,359,365,372,380,394,403,405,412,424,429,439,449,607,612,626,627,636,648,656,662,673,678,689,699,711,715,726,731,739,747,756,770,772,787,792,802,812,818,826,839,843,856,857,871,881,888,893,902,913,923,933,936,950,956,966,974,985,986,994,1007,1014,1021,1034,1038,1046,1056,1067,1073,1081,1089,1098,1110,1118,1126,1133,1140,1155,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,31,38,48,56,66,69,82,86,102,107,116,122,132,144,153,154,170,176,313,319,334,337,349,358,362,375,384,388,401,404,416,428,437,444,451,605,610,624,628,639,650,657,665,671,679,691,696,704,715,724,736,744,746,756,768,778,780,794,803,809,820,827,835,845,853,859,872,879,890,896,903,910,919,930,935,949,957,961,973,978,985,996,1005,1011,1025,1032,1043,1051,1058,1065,1078,1081,1095,1098,1108,1117,1126,1134,1144,1154,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,17,23,28,36,47,53,66,75,78,88,102,106,111,120,134,140,149,154,163,176,314,323,333,341,351,354,368,372,379,388,396,406,413,422,436,438,597,604,617,624,627,642,644,652,663,669,680,691,698,705,717,721,736,739,751,760,767,779,781,792,801,813,815,831,837,841,850,862,868,877,890,898,905,915,918,929,941,945,954,961,975,984,989,998,1008,1014,1021,1030,1042,1052,1056,1070,1071,1084,1093,1104,1108,1113,1127,1137,1143,1147,1162,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,21,32,35,50,51,60,75,85,89,99,108,117,127,133,143,149,161,170,175,315,325,330,339,343,352,367,375,383,392,396,408,416,423,435,446,600,604,614,619,634,643,651,660,668,671,682,688,697,709,717,724,734,737,754,761,764,775,780,792,800,806,816,824,834,843,851,857,872,878,890,898,901,915,917,933,939,944,954,964,972,984,990,999,1002,1011,1026,1032,1037,1051,1060,1065,1073,1085,1096,1099,1105,1116,1125,1136,1146,1153,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,32,42,43,55,64,68,84,86,100,109,117,122,136,138,153,161,169,173,315,322,329,337,346,352,362,372,385,389,401,409,418,426,437,442,599,603,616,620,633,636,647,654,666,671,685,689,700,704,720,727,733,739,751,762,764,773,787,791,805,808,815,825,839,847,853,861,866,876,884,895,908,916,920,925,937,950,953,959,969,978,990,1001,1005,1017,1024,1035,1037,1051,1059,1065,1075,1084,1091,1097,1108,1117,1125,1134,1144,1151,1164,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,18,32,41,47,56,64,73,76,90,100,105,119,126,133,136,145,158,167,176,190,322,333,336,348,359,367,370,382,387,396,404,414,421,432,438,457,601,612,624,629,638,647,654,667,671,680,690,700,710,714,726,729,738,754,757,766,778,785,790,805,810,816,829,832,844,855,858,866,876,886,898,905,909,920,933,939,945,957,959,968,980,988,996,1004,1014,1023,1035,1037,1049,1061,1070,1073,1079,1089,1096,1107,1120,1125,1135,1143,1154,1156,1169,1178	0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
6,9,23,28,38,47,54,67,76,78,87,94,110,111,125,132,138,148,155,165,176,313,322,330,340,348,352,363,373,378,394,398,408,412,428,432,441,467,606,617,625,629,643,645,652,668,671,680,687,700,709,716,725,729,745,749,756,770,776,785,794,799,810,818,827,839,841,855,865,867,882,890,895,906,914,921,933,934,949,956,959,973,980,992,998,1007,1015,1025,1035,1037,1050,1053,1063,1070,1082,1088,1104,1112,1119,1125,1135,1145,1149,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,33,41,49,56,60,76,80,91,96,107,112,126,135,137,148,159,165,176,313,321,327,336,350,353,367,374,384,395,397,411,420,425,435,442,467,608,612,619,631,640,652,655,664,669,680,687,703,711,714,727,730,743,748,754,763,775,784,790,799,810,818,828,833,841,851,864,873,880,887,895,904,909,925,926,938,945,954,959,971,981,989,997,1008,1015,1024,1028,1037,1045,1058,1067,1077,1084,1088,1104,1109,1120,1125,1135,1140,1153,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,28,39,47,58,61,73,81,93,101,105,112,123,130,140,153,160,163,170,313,319,332,337,348,352,364,375,385,388,399,404,412,427,431,440,451,605,612,621,634,642,646,658,664,672,684,692,696,708,715,728,729,739,752,756,768,777,783,790,802,812,815,828,835,847,849,862,871,876,885,894,900,915,922,930,937,946,951,963,975,983,990,1001,1002,1014,1019,1035,1041,1048,1053,1062,1076,1080,1088,1097,1111,1117,1126,1134,1141,1152,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,26,37,44,57,60,74,84,92,100,107,113,124,129,140,150,157,168,173,317,324,329,335,350,357,369,370,380,389,400,406,419,426,431,438,461,605,616,621,632,635,643,658,662,672,685,691,701,707,715,723,731,740,746,755,769,773,787,793,801,809,819,823,837,845,850,859,866,877,890,892,906,915,917,930,934,949,952,960,975,980,986,1000,1004,1014,1024,1029,1036,1049,1058,1063,1075,1086,1095,1099,1111,1118,1124,1135,1146,1154,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,33,38,46,59,61,69,78,87,94,103,112,121,135,136,148,154,165,173,183,320,334,336,351,355,363,376,384,393,396,404,418,423,433,442,597,603,615,622,634,638,652,653,660,676,680,688,699,710,713,727,729,741,750,760,764,773,783,796,800,811,817,824,838,843,855,863,866,879,890,894,901,915,918,926,939,949,953,966,972,977,986,1000,1007,1018,1027,1029,1042,1052,1058,1067,1075,1085,1095,1096,1107,1119,1122,1137,1144,1149,1156,1165,1174	1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,20,28,37,50,54,60,70,77,86,95,107,111,122,128,137,149,160,166,174,313,320,333,342,347,357,368,378,382,388,397,407,418,428,432,443,596,606,609,618,632,639,646,652,665,670,681,692,698,703,713,725,731,743,749,756,771,778,782,794,798,809,821,826,837,841,854,864,870,876,890,897,905,908,921,929,935,942,952,965,970,981,993,999,1005,1013,1022,1035,1039,1046,1058,1067,1078,1087,1096,1102,1106,1118,1126,1136,1147,1149,1159,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,26,40,45,53,60,69,85,90,99,105,114,120,131,141,146,154,162,174,315,322,331,339,344,359,364,375,381,387,398,407,418,425,431,442,459,602,612,621,630,636,647,652,668,675,680,686,701,704,718,724,735,741,746,762,771,773,780,792,802,807,818,828,833,846,853,864,866,879,882,894,901,909,917,930,936,949,956,961,974,982,993,997,1006,1011,1022,1034,1037,1047,1054,1070,1071,1086,1091,1098,1105,1117,1128,1132,1140,1150,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,17,29,39,44,55,64,70,82,89,94,109,112,126,132,139,148,159,170,171,315,322,335,339,352,360,366,374,380,392,399,407,415,420,431,445,599,609,613,621,632,638,651,658,664,670,681,686,702,705,715,728,734,738,747,754,767,777,781,796,800,813,817,827,834,841,853,861,868,875,887,899,907,910,917,927,936,944,955,966,972,982,988,1001,1010,1016,1027,1032,1042,1047,1056,1063,1071,1079,1090,1098,1111,1116,1130,1132,1143,1152,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,31,41,44,55,60,71,80,86,97,102,116,127,135,143,153,159,163,176,317,318,329,340,346,353,369,373,385,387,395,407,417,426,429,442,452,607,612,623,627,636,648,653,668,675,680,689,696,707,713,721,732,740,751,755,771,775,781,795,803,810,816,825,833,847,854,857,866,875,886,892,901,909,923,933,934,949,959,964,974,980,988,995,1009,1012,1020,1031,1042,1051,1061,1068,1073,1080,1088,1099,1110,1114,1128,1137,1144,1155,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,29,34,43,54,66,74,77,89,99,102,111,120,130,138,152,155,169,172,316,320,328,338,345,353,368,378,381,390,403,406,416,429,433,445,596,608,614,620,629,638,647,659,662,675,683,694,697,706,719,728,731,743,753,760,770,774,786,796,800,813,817,824,832,847,849,862,870,881,884,898,902,914,922,927,935,949,956,959,968,982,986,999,1007,1011,1025,1028,1041,1049,1057,1068,1076,1082,1088,1096,1110,1119,1127,1137,1145,1148,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,29,36,45,53,67,73,81,92,98,108,111,127,130,138,151,155,164,176,316,320,333,341,344,353,366,369,384,392,400,405,420,424,431,441,596,608,614,626,630,636,647,660,662,676,684,691,695,706,719,725,733,746,750,757,768,773,788,796,802,812,816,826,835,840,849,864,870,882,885,893,904,914,918,928,939,944,957,960,975,983,988,1000,1008,1014,1024,1029,1044,1050,1055,1067,1071,1080,1095,1100,1109,1113,1123,1135,1145,1154,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,26,35,48,53,62,68,78,92,99,107,118,124,135,141,150,158,162,173,313,320,327,341,350,353,361,370,381,393,403,410,420,425,434,442,596,607,617,623,627,642,648,655,667,674,682,687,697,706,715,721,737,738,747,760,768,779,780,790,802,806,817,828,833,842,855,857,867,875,890,892,905,912,919,931,940,947,951,959,969,983,990,995,1002,1014,1021,1035,1041,1050,1061,1065,1075,1083,1091,1103,1110,1121,1124,1137,1146,1148,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,32,41,44,55,67,74,78,93,97,107,113,123,131,137,153,156,167,171,313,322,329,342,351,358,361,374,379,389,395,404,417,428,436,444,470,607,616,624,634,636,650,658,661,676,684,693,697,707,713,725,735,743,748,761,769,773,784,789,805,807,817,830,832,847,851,863,866,880,889,892,902,911,921,929,940,950,957,960,974,979,986,1000,1004,1014,1019,1032,1041,1052,1054,1066,1075,1085,1088,1101,1105,1113,1124,1131,1140,1152,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,25,32,39,46,53,64,71,83,87,101,102,114,120,136,138,150,154,168,176,316,325,334,338,347,359,361,372,382,389,397,403,419,425,434,445,469,604,615,623,632,637,649,658,667,672,678,694,701,703,714,728,737,742,754,759,767,779,786,791,805,810,820,829,839,847,852,857,866,875,888,894,905,910,923,932,939,947,956,967,974,979,989,997,1008,1014,1027,1031,1044,1049,1060,1062,1078,1084,1092,1099,1111,1119,1129,1131,1147,1148,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,31,34,48,53,63,72,81,90,96,103,117,123,132,142,148,156,166,175,314,318,330,340,344,355,369,374,381,392,395,409,416,427,429,437,598,603,614,621,630,636,646,656,663,674,680,694,703,710,719,723,731,745,750,758,770,776,783,793,800,813,816,823,831,844,849,857,874,881,888,896,903,908,917,932,937,944,957,967,975,981,987,1002,1009,1018,1019,1028,1042,1045,1055,1063,1076,1079,1092,1101,1110,1119,1130,1132,1143,1153,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,26,34,47,57,66,75,79,87,97,107,111,123,135,141,146,155,165,174,313,320,333,339,352,360,367,375,382,388,397,407,417,426,431,440,456,602,617,618,629,640,649,660,665,673,679,691,698,706,717,723,735,744,748,755,769,778,785,795,801,811,821,823,836,846,849,862,870,879,883,898,905,912,921,932,937,943,955,965,969,980,992,1001,1005,1014,1022,1028,1043,1050,1059,1063,1075,1086,1095,1096,1108,1115,1129,1135,1139,1153,1160,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,18,31,38,48,57,62,73,83,92,101,104,117,123,129,140,149,156,163,179,315,319,330,337,351,358,361,374,385,393,402,405,417,422,432,441,462,602,611,619,629,642,649,655,667,675,681,690,701,703,718,725,731,738,753,754,771,775,784,794,798,807,820,827,838,842,852,864,871,878,889,892,904,910,918,925,940,949,958,964,971,978,987,995,1006,1014,1024,1034,1043,1045,1060,1069,1074,1083,1095,1096,1110,1121,1130,1134,1144,1152,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,29,34,47,54,67,72,77,86,99,106,115,127,136,144,153,155,169,173,184,319,332,341,351,359,366,376,380,394,401,406,412,425,432,442,453,606,609,620,628,641,646,658,662,676,677,688,698,709,712,728,732,740,754,756,764,777,785,794,805,806,815,827,838,843,852,859,870,877,884,894,900,916,919,933,941,949,954,968,976,983,990,995,1004,1012,1027,1031,1040,1052,1057,1064,1071,1085,1088,1099,1110,1120,1126,1138,1145,1151,1157,1170,1175	1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,8,17,31,42,46,54,64,74,83,87,99,103,112,125,129,141,148,155,168,174,186,319,332,339,345,357,366,370,378,392,398,408,417,429,436,442,458,607,617,623,630,642,648,658,661,672,680,691,699,707,715,727,730,745,746,760,765,777,783,790,802,806,821,826,833,846,856,858,868,877,883,898,907,910,924,932,939,950,955,961,971,977,992,1001,1009,1016,1027,1034,1040,1050,1053,1063,1075,1083,1094,1098,1106,1119,1129,1130,1143,1154,1158,1172,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,12,23,29,36,46,52,62,72,81,91,96,106,117,122,131,138,151,161,169,176,181,319,332,336,351,356,368,371,381,391,395,405,415,422,433,441,598,604,616,626,628,635,647,657,661,674,683,687,702,704,713,728,734,742,750,759,764,777,782,794,801,809,821,826,838,841,853,863,872,875,885,898,903,914,917,928,937,946,953,964,968,984,988,997,1008,1018,1023,1034,1041,1046,1060,1063,1071,1083,1087,1099,1106,1116,1122,1135,1145,1149,1156,1170,1178	1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,15,19,31,40,43,55,66,74,79,91,94,107,118,127,134,139,153,161,162,179,180,323,331,338,348,356,362,374,382,394,399,407,419,423,435,445,447,603,615,619,632,641,648,655,667,677,685,687,700,711,719,723,737,741,746,754,768,777,784,791,805,811,818,823,835,840,849,862,866,881,890,897,900,911,923,929,939,945,959,961,972,984,985,997,1009,1014,1023,1028,1044,1051,1058,1063,1075,1086,1092,1099,1105,1116,1125,1134,1143,1147,1161,1172,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
5,16,21,27,39,47,53,63,68,81,86,100,103,111,121,131,143,147,161,169,173,183,324,332,339,348,360,362,371,379,388,402,411,417,426,430,443,597,608,616,626,628,638,645,656,664,674,681,688,696,711,718,723,735,739,753,758,770,779,784,793,805,809,814,827,836,840,851,861,872,879,886,897,907,909,921,931,939,950,955,966,972,980,993,999,1009,1017,1020,1034,1044,1052,1061,1064,1070,1082,1092,1101,1106,1114,1124,1134,1146,1149,1159,1169,1174	1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,11,19,26,37,44,54,65,73,78,90,95,105,116,121,136,138,148,159,168,173,184,318,327,337,344,357,362,371,384,391,395,409,416,422,436,442,450,609,611,625,627,639,647,655,662,676,682,690,700,704,717,720,729,744,746,756,765,777,783,796,800,809,818,823,834,844,850,864,872,877,889,895,901,915,920,926,938,944,954,964,976,979,991,995,1003,1016,1026,1029,1043,1045,1058,1068,1071,1086,1088,1100,1107,1115,1128,1133,1144,1153,1160,1170,1173	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,23,33,34,44,55,64,76,80,88,100,110,118,122,133,141,147,161,168,171,183,321,329,343,350,353,362,372,382,394,402,407,417,426,431,442,596,601,615,621,626,643,645,656,664,676,679,686,699,703,714,724,733,737,747,759,768,778,785,796,799,806,815,830,839,843,851,861,869,875,891,892,905,916,923,929,942,943,953,967,974,983,991,994,1004,1011,1024,1033,1042,1046,1062,1068,1073,1080,1091,1100,1112,1113,1127,1134,1144,1152,1160,1164,1178	0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,10,21,33,42,48,57,66,73,83,92,100,104,116,121,130,141,152,156,165,177,184,319,334,337,348,356,366,373,382,392,403,411,413,427,435,438,466,607,615,619,629,641,648,658,661,674,680,691,701,709,714,721,737,745,748,763,769,774,787,793,802,811,820,830,837,846,851,860,869,874,890,892,902,912,916,933,939,943,951,965,975,979,990,999,1003,1011,1021,1032,1038,1051,1060,1070,1078,1086,1089,1099,1106,1117,1129,1138,1140,1155,1161,1166	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,21,25,34,46,59,65,75,84,93,98,110,116,126,129,139,151,156,162,171,313,325,329,339,349,360,363,376,386,393,399,410,414,428,433,440,451,607,609,623,626,638,646,659,663,672,683,694,702,709,719,723,736,738,746,760,764,777,785,790,803,808,816,829,836,845,850,864,872,876,883,898,906,914,918,926,937,949,957,966,970,981,989,1002,1004,1014,1020,1029,1044,1047,1057,1062,1076,1082,1092,1101,1106,1114,1129,1138,1144,1152,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,29,35,45,52,65,72,84,85,97,105,114,124,132,138,151,158,167,174,187,324,329,341,351,354,365,372,382,393,401,407,417,428,433,444,597,607,609,622,628,640,646,653,666,675,684,690,700,711,713,724,734,739,751,755,768,778,780,791,804,813,818,825,833,848,853,863,867,878,885,896,904,909,924,933,935,946,956,962,970,980,991,996,1010,1018,1019,1030,1041,1053,1061,1068,1071,1080,1088,1099,1112,1118,1127,1130,1140,1148,1163,1169,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,21,32,39,46,51,63,76,82,89,101,108,116,122,134,140,146,155,167,174,181,318,330,340,348,360,366,376,385,387,395,407,418,422,433,443,596,607,616,618,627,638,644,660,667,676,682,688,698,703,713,722,730,737,747,759,763,774,786,791,802,811,817,825,834,841,853,860,867,879,885,893,904,912,921,930,937,944,956,961,968,978,991,994,1004,1011,1023,1033,1042,1050,1057,1063,1071,1084,1090,1101,1107,1119,1126,1137,1144,1155,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,16,19,27,34,44,54,62,76,80,91,95,109,113,127,128,137,151,155,162,175,183,319,330,343,347,360,368,369,379,386,395,406,412,428,432,438,598,602,611,623,627,636,651,657,663,672,680,690,702,707,717,727,729,744,754,756,770,779,788,791,803,813,817,829,839,847,852,862,872,879,888,893,900,911,921,933,942,950,955,967,974,979,986,998,1009,1010,1021,1031,1039,1053,1061,1067,1071,1082,1090,1097,1107,1115,1129,1135,1140,1154,1157,1171	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,11,20,27,40,46,53,66,72,83,92,99,109,119,126,132,138,152,156,163,174,182,324,328,339,344,353,361,371,384,391,402,404,414,427,437,441,598,604,615,624,627,635,644,654,664,676,685,688,703,704,713,723,733,741,747,762,767,779,781,791,805,806,817,825,832,847,850,858,868,879,885,891,907,910,921,931,936,947,953,960,972,981,992,997,1008,1011,1022,1029,1039,1046,1056,1069,1075,1086,1091,1100,1106,1115,1124,1136,1140,1149,1162,1168,1176	1,0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,25,33,35,45,59,61,68,79,92,101,109,115,123,130,142,146,158,168,173,186,322,333,341,350,357,362,370,380,389,399,405,412,423,431,441,598,602,613,625,633,642,649,654,665,677,685,691,695,705,716,721,731,743,752,762,768,771,785,794,799,812,820,827,839,842,853,857,869,875,883,893,907,910,917,925,941,949,954,965,972,978,990,1001,1008,1014,1027,1036,1042,1048,1059,1065,1075,1084,1096,1100,1112,1121,1130,1137,1143,1155,1160,1172,1178	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,19,26,34,49,56,61,76,78,91,94,103,111,127,133,140,151,154,169,176,185,318,328,341,348,352,361,372,386,391,395,409,412,426,431,444,600,607,613,621,629,636,651,657,668,671,684,692,701,711,712,727,730,739,746,762,765,773,780,790,805,809,818,831,837,848,856,862,872,878,886,898,903,912,920,926,934,949,952,966,970,984,993,1001,1002,1016,1025,1035,1040,1045,1055,1068,1078,1086,1093,1102,1108,1113,1125,1133,1141,1150,1156,1169,1177	1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
6,12,20,32,34,42,54,67,71,81,87,95,107,117,124,135,142,150,154,163,175,313,325,328,341,350,353,366,372,380,393,396,409,420,426,433,443,599,607,612,622,627,637,651,653,664,674,682,694,696,704,714,728,733,740,748,757,764,775,788,792,797,811,816,823,839,842,850,861,867,874,883,892,904,913,921,931,934,942,956,962,970,982,993,1002,1009,1018,1026,1027,1040,1050,1055,1067,1072,1085,1091,1099,1112,1117,1122,1135,1140,1148,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,25,41,49,56,66,73,77,86,95,107,117,120,129,137,149,154,168,173,316,320,330,338,351,359,365,377,380,393,398,405,412,423,437,440,598,601,609,622,627,642,647,654,661,670,680,691,700,709,716,726,729,745,753,759,764,773,787,792,805,806,822,826,838,842,850,864,867,874,883,897,907,912,922,926,940,949,952,966,973,983,991,995,1008,1012,1025,1029,1044,1051,1060,1068,1076,1086,1091,1100,1106,1116,1123,1135,1146,1153,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,30,40,48,53,65,71,76,90,96,106,113,121,134,143,147,161,169,179,316,326,333,341,349,360,367,371,380,394,402,410,419,425,431,443,598,605,611,619,631,638,650,660,669,670,678,686,696,705,713,725,730,739,749,758,766,777,783,790,805,809,815,830,835,843,850,865,868,881,891,894,900,911,922,925,938,947,953,959,972,981,991,999,1005,1014,1027,1034,1039,1049,1061,1064,1075,1083,1094,1099,1111,1121,1122,1137,1140,1155,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,31,35,48,54,67,69,85,90,96,110,118,124,130,139,145,156,169,172,317,326,330,342,351,360,363,375,385,394,396,411,418,421,437,444,462,608,614,619,632,636,644,655,662,670,678,690,696,705,714,720,731,741,747,756,768,779,786,794,802,807,820,825,839,843,850,865,873,881,888,896,907,913,924,930,940,948,953,964,973,978,993,1000,1004,1015,1023,1030,1039,1047,1059,1067,1071,1086,1093,1104,1109,1116,1125,1136,1145,1155,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,25,42,49,53,65,72,84,92,101,109,113,120,131,138,147,155,165,173,315,320,335,340,350,358,369,370,379,388,396,409,413,426,436,445,598,605,617,625,633,642,648,654,664,671,684,690,696,711,713,722,734,741,754,762,767,775,782,793,800,807,820,829,836,847,851,860,867,875,882,895,906,908,923,931,936,950,955,964,973,981,989,993,1010,1011,1023,1031,1037,1048,1053,1063,1072,1084,1094,1102,1106,1113,1127,1136,1139,1153,1159,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,27,39,44,54,65,74,77,85,102,105,111,127,129,137,151,156,169,178,313,318,328,338,346,353,364,370,382,387,400,405,418,426,437,439,596,606,617,618,631,636,646,659,667,669,684,693,697,703,714,722,731,743,753,755,765,775,782,792,799,809,818,823,832,840,849,863,870,874,886,898,904,914,920,926,940,942,956,963,973,985,988,995,1004,1017,1022,1028,1039,1053,1057,1069,1077,1085,1088,1099,1110,1121,1127,1132,1141,1151,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,32,37,47,51,66,75,81,90,99,105,113,125,135,138,147,153,167,177,313,322,334,339,346,352,364,373,381,386,397,405,414,424,435,442,596,601,615,620,632,641,650,658,666,673,680,687,702,711,716,724,736,738,749,762,764,772,786,795,803,813,815,828,836,846,851,860,870,876,885,899,905,909,917,933,938,945,956,965,973,978,990,996,1002,1017,1026,1033,1036,1049,1059,1068,1078,1085,1093,1098,1105,1119,1124,1138,1147,1155,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,28,40,46,51,64,68,85,90,99,102,117,123,131,141,146,161,166,175,316,325,328,341,348,357,365,376,380,389,399,404,418,422,432,439,450,608,615,625,630,640,649,656,661,672,680,693,699,708,719,722,729,740,753,762,771,779,784,794,803,813,818,829,834,845,855,861,869,880,885,896,906,912,921,933,939,946,956,962,971,983,990,1000,1002,1015,1021,1034,1038,1045,1054,1066,1075,1079,1091,1100,1108,1118,1122,1134,1139,1148,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,30,37,46,55,59,75,79,91,102,107,114,125,134,136,148,159,166,175,179,318,335,337,352,354,368,377,385,390,396,409,415,426,429,438,598,606,612,622,630,642,646,654,661,672,686,692,699,703,718,723,736,743,751,761,770,775,781,792,805,807,815,830,836,842,849,864,865,881,885,897,905,914,919,929,936,946,955,967,969,983,989,998,1003,1012,1025,1035,1037,1048,1056,1064,1071,1083,1092,1104,1112,1118,1128,1136,1146,1151,1163,1168,1173	0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,9,18,26,35,44,52,62,73,80,86,101,107,112,126,130,144,149,161,162,175,316,324,334,340,345,354,366,372,384,387,402,406,415,428,433,441,598,603,616,626,632,640,643,659,665,669,681,688,702,707,720,722,730,744,749,760,770,772,781,797,799,810,817,830,836,841,855,861,869,879,890,895,907,912,924,933,941,946,958,960,975,979,993,1000,1010,1012,1021,1028,1039,1046,1055,1066,1079,1084,1088,1101,1109,1118,1125,1130,1144,1149,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,30,36,45,53,60,72,78,91,100,109,116,120,130,139,146,157,167,174,315,318,334,343,346,354,362,372,382,388,401,407,416,422,434,445,459,606,615,619,632,639,648,655,668,675,683,692,702,707,715,726,730,742,751,761,763,778,787,794,803,814,815,831,837,843,850,861,872,878,888,894,902,916,919,930,934,943,959,963,974,981,988,998,1006,1011,1024,1032,1038,1046,1058,1068,1077,1081,1088,1103,1110,1115,1129,1134,1143,1150,1162,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,28,39,43,52,60,68,80,89,95,106,114,122,132,144,146,154,167,177,313,325,327,338,346,356,365,371,379,391,399,408,417,425,437,443,596,604,611,621,628,640,651,652,662,674,679,687,695,705,717,721,731,739,753,757,771,778,781,793,802,806,816,827,836,846,851,861,872,875,887,899,907,914,917,928,940,943,954,964,969,977,992,996,1006,1014,1024,1028,1042,1045,1053,1066,1073,1081,1089,1096,1110,1114,1130,1131,1145,1152,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,31,34,43,52,64,72,80,87,99,107,117,124,134,136,149,159,166,178,318,325,328,338,350,358,367,370,380,387,398,409,415,421,433,440,599,601,615,621,629,637,650,654,664,674,679,690,694,707,717,721,730,740,750,756,771,776,788,792,802,814,816,829,834,845,854,857,865,880,889,898,905,910,922,931,938,945,956,961,976,980,991,1001,1003,1017,1020,1030,1043,1053,1054,1066,1074,1081,1093,1099,1108,1116,1124,1138,1144,1150,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,21,26,42,43,56,60,69,81,88,97,109,113,123,132,142,148,158,166,172,185,325,330,338,344,356,368,375,382,386,400,406,417,422,432,444,598,605,614,623,627,639,651,656,663,673,682,689,697,711,718,728,730,742,747,761,770,776,783,790,805,813,819,827,835,843,851,860,867,880,890,896,908,913,918,927,939,950,958,960,975,980,992,999,1005,1016,1022,1035,1040,1048,1061,1065,1072,1082,1096,1101,1109,1113,1129,1133,1140,1152,1164,1165	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,17,29,39,43,59,64,70,80,87,100,110,113,123,135,137,146,156,169,178,317,318,330,343,347,353,363,375,378,393,401,410,419,420,436,445,460,603,617,622,629,639,651,654,660,675,680,686,702,710,718,725,737,740,752,758,769,776,784,791,800,812,814,825,836,846,851,859,872,881,887,892,905,909,921,933,938,948,958,968,976,979,990,994,1007,1015,1021,1035,1037,1052,1056,1064,1077,1080,1091,1102,1106,1114,1129,1136,1147,1149,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,30,41,49,56,63,76,79,90,102,110,115,122,133,141,152,158,164,173,317,324,332,339,348,353,361,370,378,386,397,406,413,423,437,440,455,604,610,618,631,637,645,659,665,677,682,686,694,707,714,728,737,744,750,757,764,778,780,795,804,809,819,831,839,845,850,863,867,876,889,893,900,908,917,928,941,942,956,961,971,980,987,1001,1007,1012,1025,1030,1042,1049,1055,1064,1076,1087,1089,1104,1107,1119,1126,1133,1141,1149,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,29,40,49,55,62,70,77,87,95,105,114,122,129,144,145,154,163,174,316,321,328,343,351,356,366,371,379,393,399,405,414,425,437,444,598,603,614,620,630,640,650,652,663,671,683,687,703,707,717,728,732,745,753,759,769,778,787,790,800,805,814,830,834,848,852,857,867,881,883,896,903,916,920,930,934,947,957,967,968,977,991,994,1003,1018,1020,1033,1043,1052,1057,1070,1073,1084,1089,1102,1110,1117,1126,1133,1146,1148,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,30,35,47,53,63,71,81,88,95,107,112,122,131,140,149,155,163,175,313,326,329,337,349,357,364,370,382,387,403,412,418,423,435,442,599,601,609,625,633,641,651,652,666,673,685,691,696,708,713,724,735,739,750,759,769,774,781,789,799,813,819,825,839,842,855,863,871,881,888,891,900,915,925,928,942,946,953,967,975,985,991,1000,1010,1014,1024,1036,1043,1048,1061,1066,1076,1080,1091,1101,1107,1119,1123,1135,1140,1155,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,28,42,48,55,64,73,79,89,99,108,117,126,129,142,146,155,166,175,317,324,329,343,347,357,367,377,380,389,397,410,419,427,436,444,449,604,616,625,631,637,652,654,661,671,678,692,703,709,715,728,730,740,748,759,771,772,781,792,802,811,819,823,837,841,855,860,867,881,886,895,903,914,924,933,941,948,955,963,968,981,985,997,1006,1015,1026,1031,1042,1045,1055,1066,1072,1086,1091,1104,1105,1118,1127,1132,1142,1148,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,21,26,34,48,58,66,71,77,87,102,103,115,124,131,138,146,156,169,178,314,321,328,338,351,357,366,375,384,388,400,404,420,424,429,444,598,601,610,624,630,635,649,655,662,674,680,686,696,706,716,724,734,743,752,761,766,777,783,790,801,808,817,826,832,840,854,858,871,877,890,898,903,913,917,930,935,946,953,968,976,979,992,996,1004,1010,1024,1035,1044,1046,1057,1070,1074,1086,1093,1103,1106,1118,1124,1130,1140,1152,1156,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,25,27,35,47,55,60,76,79,90,98,109,118,125,131,142,149,161,164,177,313,322,332,339,344,352,364,376,378,389,399,410,416,420,435,438,461,606,613,624,630,639,643,655,661,672,684,693,700,704,715,725,737,742,754,759,770,773,781,795,798,812,820,827,833,840,852,858,873,882,890,893,900,910,920,928,937,943,955,966,972,980,990,996,1009,1011,1026,1031,1044,1052,1055,1066,1072,1087,1091,1104,1105,1116,1126,1135,1139,1153,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,17,27,40,48,59,61,76,85,91,102,106,115,127,128,143,150,161,162,173,315,322,331,343,349,356,361,375,383,386,400,406,415,428,431,438,448,605,613,624,627,635,651,659,661,669,683,692,699,707,713,724,735,741,749,759,764,771,780,792,797,813,815,829,835,843,849,864,873,879,889,893,899,914,916,930,939,951,958,961,972,980,986,1000,1007,1016,1020,1030,1037,1046,1059,1066,1071,1085,1092,1102,1111,1113,1129,1132,1146,1155,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,28,42,44,51,63,72,83,89,101,108,111,123,129,140,152,155,166,175,317,324,330,342,346,355,365,377,383,394,395,404,418,429,435,445,596,609,615,624,632,637,650,656,663,671,678,694,702,709,715,723,730,741,748,760,767,773,785,796,797,808,814,828,837,840,850,865,867,876,884,892,907,914,920,930,942,943,952,967,974,976,991,999,1006,1019,1022,1035,1039,1053,1057,1068,1078,1081,1090,1096,1105,1119,1128,1133,1147,1148,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,27,37,45,58,67,73,78,92,94,109,112,121,132,141,145,156,163,176,313,325,328,339,351,352,367,375,381,388,400,410,414,425,433,438,600,605,616,624,631,642,649,653,664,674,680,691,697,705,716,726,733,741,749,762,764,779,783,790,800,812,820,825,833,842,848,865,869,878,885,897,905,908,922,926,939,943,954,959,971,982,992,997,1010,1011,1021,1032,1040,1047,1054,1067,1075,1082,1089,1104,1108,1113,1124,1134,1143,1154,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,31,37,51,57,63,70,83,85,100,105,112,122,130,139,146,159,165,176,314,318,333,341,346,358,362,376,383,394,396,404,420,421,434,441,597,603,611,623,629,635,650,660,668,669,684,688,703,709,714,726,735,740,750,755,764,777,787,794,797,807,816,823,837,845,854,864,873,874,885,891,905,909,921,933,939,943,951,962,975,982,989,997,1006,1018,1027,1034,1041,1049,1058,1070,1072,1084,1092,1103,1106,1121,1129,1136,1147,1148,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,33,38,43,59,65,68,84,90,95,107,112,120,128,138,146,156,168,178,317,322,329,339,348,355,369,370,380,389,400,408,415,424,430,438,600,607,615,621,627,642,644,657,668,670,679,692,696,703,718,727,733,740,754,757,770,779,787,789,803,811,818,825,839,841,852,861,873,877,888,898,905,908,922,926,934,945,951,964,971,981,988,998,1005,1016,1027,1035,1040,1048,1054,1064,1072,1084,1093,1101,1104,1113,1129,1133,1141,1148,1159,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,20,32,38,46,52,60,76,79,90,100,104,118,122,128,138,148,160,166,176,194,321,328,335,350,354,368,377,378,391,401,406,414,425,429,445,600,603,610,619,627,637,645,658,662,675,684,694,702,709,718,728,736,739,750,759,765,780,788,789,798,812,814,827,839,840,853,861,873,881,887,891,903,913,924,927,934,944,956,959,972,982,985,999,1004,1012,1025,1032,1042,1050,1058,1067,1075,1085,1094,1102,1112,1119,1130,1138,1147,1150,1163,1165,1173	1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,11,22,28,41,45,58,66,74,78,85,96,105,114,120,129,138,145,161,169,175,187,324,329,337,347,356,365,373,382,393,403,411,415,421,437,438,599,602,616,624,627,636,648,653,668,674,685,693,702,707,715,727,730,739,746,757,770,775,787,793,797,807,817,830,836,844,856,862,866,875,890,898,903,910,917,931,935,943,954,962,970,978,992,997,1006,1011,1019,1031,1040,1050,1056,1064,1072,1079,1087,1103,1110,1119,1123,1133,1141,1148,1158,1170,1178	1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,18,30,35,43,59,66,74,83,85,98,108,117,120,136,140,152,154,162,173,195,318,329,335,346,360,363,371,382,390,402,407,418,421,431,445,597,603,613,623,632,637,649,655,662,676,678,693,702,709,715,726,733,743,750,758,769,773,780,794,802,811,822,825,834,848,852,858,867,880,889,898,906,913,917,929,940,944,957,960,969,978,993,995,1005,1018,1024,1027,1038,1048,1059,1067,1074,1080,1087,1103,1107,1119,1129,1133,1141,1151,1161,1173,1176	1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,11,17,26,40,47,56,63,73,81,85,99,103,112,123,135,143,147,159,163,172,181,319,332,341,350,355,367,376,386,395,397,410,417,427,432,438,599,608,609,621,627,641,645,659,663,672,683,688,702,709,714,720,736,743,750,760,770,772,781,790,801,807,821,828,839,843,852,864,869,878,885,891,903,915,916,928,934,950,954,963,968,982,989,996,1002,1017,1025,1030,1041,1051,1056,1064,1077,1082,1093,1103,1105,1121,1124,1136,1140,1152,1157,1170,1175	0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,24,32,37,44,51,65,74,77,91,98,105,111,127,135,143,151,160,163,179,182,326,330,337,347,357,368,371,381,390,399,406,418,421,431,442,468,609,617,621,632,638,650,653,666,676,680,690,702,706,717,727,731,739,754,756,767,776,783,795,797,813,819,827,839,845,852,861,870,875,886,894,904,914,918,933,940,942,954,966,975,984,988,998,1009,1015,1022,1035,1039,1051,1055,1066,1074,1086,1094,1101,1112,1119,1129,1130,1145,1148,1163,1166	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,11,17,29,34,50,58,59,75,79,86,94,103,117,122,132,139,153,157,163,175,185,322,329,335,347,360,363,375,381,391,395,409,414,423,432,439,466,604,613,621,630,637,650,653,668,675,684,688,702,709,713,728,733,744,751,761,765,774,782,789,801,813,821,825,835,846,849,859,872,880,890,892,907,909,924,931,938,949,956,967,972,980,992,1000,1004,1017,1025,1030,1036,1045,1055,1069,1077,1080,1092,1096,1113,1120,1126,1130,1143,1152,1160,1166,1173	1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0
4,11,25,27,40,43,56,62,73,80,92,99,106,112,127,130,144,147,156,164,170,185,320,331,337,345,353,367,377,386,387,403,404,415,425,437,442,597,603,614,625,631,639,644,658,662,673,678,687,697,704,713,723,736,737,749,757,768,778,786,792,798,812,821,828,831,845,852,863,867,876,890,892,908,912,919,926,940,947,956,960,972,984,988,999,1008,1014,1027,1028,1037,1050,1055,1068,1071,1081,1088,1096,1107,1118,1127,1131,1141,1147,1157,1167,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,12,21,32,37,50,56,64,76,79,87,100,105,115,124,134,144,148,158,167,178,185,325,332,341,350,352,369,375,385,389,397,407,412,428,437,442,461,609,612,621,632,643,644,654,661,673,680,690,702,705,712,729,734,740,747,756,764,773,783,789,804,810,816,825,833,845,854,857,867,880,887,897,904,912,918,931,935,944,952,964,974,984,987,1000,1007,1018,1023,1034,1039,1047,1058,1068,1077,1084,1088,1099,1109,1121,1126,1138,1139,1154,1157,1165,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,16,20,25,38,49,58,62,72,83,93,100,103,115,125,133,142,152,156,166,173,314,320,329,335,346,359,365,370,385,392,400,408,417,424,431,442,467,603,617,621,631,636,650,660,669,676,683,687,697,710,715,722,737,740,748,756,767,780,784,794,803,805,818,827,832,846,857,861,870,875,890,895,903,909,924,933,942,949,957,965,972,981,986,998,1004,1012,1022,1033,1044,1049,1058,1066,1073,1085,1091,1099,1109,1115,1128,1134,1140,1155,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,27,36,43,56,62,69,83,92,100,105,113,122,132,142,148,155,166,178,181,325,327,336,343,360,365,372,386,388,399,405,416,423,432,444,596,606,614,619,628,638,650,653,664,674,681,690,703,705,715,727,734,743,748,755,770,775,787,796,799,810,818,828,836,846,849,862,866,878,886,893,906,912,924,932,935,949,955,962,975,984,990,996,1004,1012,1024,1031,1040,1051,1054,1063,1078,1080,1091,1096,1113,1114,1122,1136,1141,1151,1164,1168,1177	1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,14,20,30,41,46,53,68,71,83,92,101,108,119,126,130,142,153,156,169,177,180,318,333,341,345,360,362,372,382,386,397,406,416,427,430,445,600,604,609,624,628,636,650,659,663,674,684,692,694,711,713,727,737,743,753,763,769,780,784,791,800,813,820,825,836,840,848,865,867,879,888,898,907,909,924,925,942,948,958,960,969,981,987,995,1002,1014,1020,1030,1041,1053,1056,1064,1078,1081,1088,1102,1110,1120,1122,1137,1144,1147,1160,1171,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,22,33,40,48,55,66,75,80,87,100,108,112,121,132,137,148,155,162,171,183,325,333,341,347,356,367,370,380,392,396,404,415,421,429,444,597,601,611,625,630,638,644,656,664,673,679,690,696,704,715,722,734,741,747,757,767,778,782,794,800,811,814,824,836,846,855,857,874,879,890,895,904,912,923,930,942,948,958,967,975,981,992,999,1004,1018,1021,1029,1038,1045,1055,1064,1074,1083,1088,1103,1111,1114,1126,1136,1140,1151,1160,1168	1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,19,26,41,44,51,64,74,77,88,100,104,112,128,134,137,149,157,165,173,187,320,332,342,348,357,367,376,385,394,400,408,420,426,431,445,599,606,615,625,628,639,650,658,663,670,679,687,698,711,717,723,732,745,749,763,764,774,781,792,798,814,817,830,837,848,849,864,869,875,888,894,900,912,920,931,942,946,956,967,975,978,987,999,1009,1015,1024,1034,1041,1045,1056,1064,1076,1081,1093,1097,1107,1113,1130,1136,1145,1151,1160,1167,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,15,24,32,38,45,52,60,71,83,88,94,106,113,120,134,140,151,156,168,179,313,321,334,338,348,360,362,370,381,394,398,409,416,425,435,442,596,607,616,624,634,637,646,653,661,671,683,690,696,711,712,725,735,743,753,758,769,778,784,795,798,812,820,826,833,840,850,858,867,876,884,898,906,911,923,931,939,942,952,963,973,980,988,1000,1008,1013,1026,1028,1039,1049,1057,1069,1074,1086,1093,1104,1113,1119,1128,1132,1141,1154,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
8,13,21,30,36,43,55,65,70,83,86,100,108,112,120,135,140,150,153,170,174,196,323,329,337,344,353,363,369,382,389,398,410,419,424,436,442,597,605,616,624,629,643,644,660,661,673,686,689,700,707,715,721,734,737,750,759,763,775,786,792,799,807,820,830,835,843,852,858,873,879,889,896,902,909,920,931,939,945,956,963,971,983,992,997,1002,1013,1020,1030,1042,1050,1061,1065,1073,1086,1093,1102,1110,1116,1127,1135,1146,1150,1157,1172,1174	0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
1,11,17,31,36,48,59,67,73,77,87,95,103,115,126,128,138,147,158,164,178,314,326,330,336,351,355,361,372,383,388,396,406,419,428,433,442,600,601,616,619,627,643,648,660,661,675,681,690,695,708,719,721,735,744,748,761,767,772,785,796,801,811,818,827,837,842,849,863,872,880,887,894,902,916,920,932,937,948,953,960,970,981,992,994,1002,1017,1024,1035,1042,1049,1055,1062,1071,1082,1093,1102,1111,1116,1128,1131,1147,1152,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,20,26,40,44,53,67,69,81,93,102,106,112,127,131,140,146,158,170,171,313,323,331,335,346,358,364,377,380,389,401,407,415,428,431,443,465,606,610,624,631,642,650,656,666,669,678,694,696,704,715,728,732,740,752,760,770,771,781,796,804,808,817,823,838,841,853,859,868,880,890,898,903,912,924,932,942,945,958,966,974,983,991,997,1004,1015,1027,1036,1041,1051,1061,1068,1071,1085,1092,1104,1105,1116,1125,1131,1142,1150,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,32,37,43,57,60,74,81,88,101,105,112,127,136,138,147,162,170,174,314,323,329,336,348,355,361,375,383,395,398,404,413,424,433,442,599,604,615,621,629,637,651,659,665,676,682,694,698,707,717,722,731,743,753,756,766,775,780,790,804,806,815,826,835,840,850,860,868,874,885,892,901,916,920,930,938,946,955,962,974,979,985,993,1008,1017,1020,1033,1037,1045,1057,1069,1072,1084,1093,1098,1111,1114,1127,1131,1139,1150,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,31,35,47,55,67,74,82,90,97,102,117,124,136,138,150,155,166,176,317,326,334,343,352,357,365,374,380,389,397,407,419,428,434,440,598,604,610,620,631,636,647,652,665,669,679,692,698,708,716,722,730,742,750,758,769,779,786,795,799,810,815,829,832,843,852,862,869,880,884,896,904,913,925,933,935,949,954,966,970,978,991,1001,1007,1019,1026,1028,1037,1045,1059,1068,1074,1079,1090,1100,1108,1120,1129,1137,1144,1147,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,33,40,45,51,59,76,82,85,94,104,112,121,129,139,151,161,166,172,317,321,326,337,349,354,362,373,384,390,396,405,420,428,436,438,597,606,617,622,633,636,645,658,668,676,682,691,697,704,718,722,729,744,749,755,769,776,780,792,799,814,816,823,836,845,851,859,868,881,887,898,907,909,917,930,934,948,955,960,968,983,986,994,1009,1012,1023,1034,1044,1045,1055,1064,1077,1081,1095,1104,1111,1116,1126,1135,1146,1155,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,28,39,48,56,66,73,84,91,99,108,111,127,131,144,151,158,166,176,316,322,330,338,345,352,361,376,385,388,396,404,417,421,429,438,462,609,615,620,633,643,651,654,661,671,680,687,702,707,718,726,731,741,750,760,763,779,780,792,803,806,816,827,833,845,850,857,873,880,888,893,902,911,916,929,939,947,958,962,972,981,991,998,1007,1014,1019,1029,1038,1051,1058,1065,1073,1082,1088,1097,1111,1118,1125,1136,1141,1152,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,26,35,42,57,66,75,83,88,100,110,116,127,129,140,149,154,168,176,317,325,334,336,347,355,363,376,379,392,396,403,419,423,437,441,600,604,615,623,633,635,649,653,663,675,678,690,702,706,714,725,735,744,746,758,770,776,784,789,798,811,819,828,834,847,852,865,871,878,887,895,904,913,922,931,938,943,955,962,971,980,987,1002,1004,1014,1023,1032,1039,1049,1056,1069,1078,1084,1091,1102,1105,1120,1127,1132,1144,1154,1164,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,20,32,34,43,57,59,74,81,85,98,102,114,119,129,144,152,161,166,176,318,323,331,338,345,355,365,371,386,392,398,409,420,428,433,445,597,606,611,624,634,635,646,655,664,670,681,690,699,707,713,727,737,744,751,759,766,776,784,797,799,812,822,825,832,840,856,863,871,877,883,899,908,915,922,925,936,946,959,965,976,979,985,997,1008,1011,1024,1031,1043,1049,1056,1067,1077,1083,1094,1101,1112,1120,1128,1130,1140,1150,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,28,42,48,52,64,71,81,93,94,108,111,124,134,141,151,161,162,172,185,321,330,336,345,353,368,376,386,391,396,403,418,422,432,441,448,603,615,618,630,637,651,658,664,671,684,692,698,711,719,726,736,739,752,757,765,776,782,794,801,809,822,824,838,847,856,857,868,877,885,899,900,916,922,930,936,945,953,961,971,977,992,996,1010,1018,1019,1032,1041,1046,1055,1068,1077,1087,1088,1099,1107,1119,1129,1136,1146,1153,1157,1167	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
5,12,20,31,41,46,56,65,74,80,88,101,107,118,119,129,140,150,156,169,175,317,319,333,338,350,358,366,377,380,387,395,410,415,426,437,443,469,607,617,620,627,640,652,656,667,676,686,692,699,707,712,726,729,737,753,762,770,775,782,792,800,813,815,828,832,844,854,862,870,879,888,893,901,915,924,931,935,946,952,960,969,984,987,999,1004,1018,1022,1031,1043,1050,1058,1063,1076,1087,1096,1101,1106,1121,1123,1131,1144,1149,1159,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,29,35,47,51,67,74,80,86,98,105,111,126,134,140,149,161,168,172,313,324,329,343,348,354,366,376,380,389,403,404,415,424,431,442,466,606,617,618,628,637,648,654,667,670,678,692,700,706,715,721,731,741,752,760,768,777,782,796,804,807,820,830,838,840,853,864,869,876,887,895,899,911,919,925,940,942,957,966,971,984,986,995,1010,1012,1024,1029,1040,1053,1055,1064,1074,1079,1095,1103,1107,1117,1125,1131,1139,1148,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,26,41,46,57,65,73,77,93,98,103,118,121,132,138,152,160,163,177,313,326,328,343,346,355,361,377,380,393,400,409,414,424,434,443,458,602,616,620,629,637,651,660,664,676,678,693,702,704,714,720,735,742,751,762,769,776,786,794,805,813,820,827,834,848,850,864,871,877,882,895,905,914,917,928,936,950,954,967,971,978,993,995,1006,1019,1027,1029,1044,1045,1055,1068,1071,1085,1092,1099,1111,1113,1123,1138,1146,1149,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,31,41,43,52,61,72,77,91,97,108,112,123,133,144,151,160,168,172,313,321,331,343,347,353,361,376,380,393,400,411,419,428,432,442,597,608,616,619,627,641,646,653,661,674,685,691,697,711,719,724,731,738,746,754,771,777,785,788,797,807,820,824,837,842,851,859,866,877,887,891,904,909,924,926,938,947,959,961,974,983,985,994,1004,1014,1024,1030,1037,1052,1060,1068,1077,1079,1094,1104,1107,1119,1125,1132,1141,1153,1159,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,31,38,47,58,60,75,80,86,101,109,112,120,134,143,151,154,163,174,193,320,328,337,348,356,367,369,380,387,398,410,417,428,432,443,596,605,616,626,630,642,643,659,664,670,678,693,701,705,712,721,734,745,751,755,769,775,788,789,802,812,822,827,838,841,850,859,870,878,884,892,907,911,917,929,940,947,952,960,971,983,990,1001,1003,1018,1020,1033,1039,1046,1053,1069,1077,1081,1094,1101,1108,1120,1124,1137,1146,1155,1162,1164,1175	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,8,17,29,35,45,58,60,69,81,89,99,109,113,125,131,141,151,161,168,174,314,321,332,342,347,355,364,371,386,394,398,408,415,425,435,444,447,601,614,618,632,636,646,655,662,675,682,687,700,704,714,724,736,744,746,763,766,773,787,790,797,811,815,827,837,842,854,858,869,881,889,894,903,911,921,932,939,944,959,963,973,978,990,999,1003,1014,1021,1031,1037,1053,1061,1070,1073,1085,1094,1103,1112,1118,1125,1132,1142,1149,1156,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,31,39,43,53,63,72,77,90,102,104,114,125,128,137,145,157,167,172,313,320,328,340,351,359,365,375,380,395,399,411,414,426,429,441,596,601,613,619,634,637,647,653,665,675,681,694,695,707,714,722,731,743,748,756,769,772,788,792,798,811,822,826,839,842,849,859,870,879,889,894,906,908,917,928,937,944,956,966,973,978,987,1000,1004,1019,1026,1028,1043,1050,1057,1063,1074,1082,1093,1098,1105,1116,1127,1136,1140,1150,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,21,29,37,49,59,61,68,84,90,102,105,116,125,133,142,147,153,165,171,314,322,328,342,345,354,364,377,381,391,400,404,418,422,434,438,471,605,612,624,632,637,651,655,668,671,680,689,703,711,718,721,729,740,749,761,767,775,784,791,799,812,820,830,838,845,854,861,870,880,889,893,899,915,918,927,941,948,954,963,974,981,989,995,1004,1018,1021,1028,1041,1047,1054,1065,1074,1080,1092,1102,1109,1118,1122,1135,1141,1155,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,29,41,45,52,59,71,83,87,98,106,113,121,132,141,153,156,164,173,315,319,333,337,349,360,365,370,383,388,399,406,413,423,430,443,600,607,611,624,632,642,650,657,662,673,678,687,702,709,714,721,736,739,752,761,769,772,784,789,804,811,819,826,837,842,855,859,871,876,889,891,906,916,919,927,935,943,951,961,971,979,992,997,1007,1016,1019,1028,1041,1047,1056,1063,1077,1083,1093,1097,1109,1116,1126,1131,1145,1155,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,20,29,34,49,52,67,73,77,92,100,106,111,127,131,137,145,160,169,174,316,322,329,336,347,359,367,369,380,394,401,408,420,427,436,438,456,605,614,618,632,642,645,653,666,674,685,690,697,704,719,722,736,737,747,756,765,777,787,792,797,807,820,829,832,845,857,860,866,881,884,893,903,916,924,930,938,949,956,962,971,977,989,994,1006,1013,1022,1036,1043,1053,1054,1065,1072,1082,1090,1099,1108,1121,1123,1131,1141,1149,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,27,39,49,51,61,72,82,93,100,109,114,119,133,138,152,160,162,174,317,325,328,335,344,358,362,377,385,389,396,405,414,421,434,439,448,607,612,623,631,636,644,653,664,673,678,688,703,706,715,725,736,741,754,756,769,772,787,792,804,806,817,824,834,844,853,862,867,880,889,892,906,910,923,930,939,948,951,966,973,985,990,1000,1005,1018,1024,1033,1038,1047,1055,1064,1078,1079,1092,1103,1108,1119,1125,1131,1146,1150,1156,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,28,37,45,52,63,68,82,91,101,106,117,124,131,136,152,153,165,172,317,325,332,341,347,358,362,375,381,390,403,406,419,422,436,443,447,604,616,619,626,638,644,659,662,670,681,691,698,708,720,728,733,738,753,762,766,779,780,795,802,811,819,830,835,848,853,860,870,874,886,898,899,909,918,932,936,947,951,963,975,979,985,1001,1010,1015,1020,1033,1037,1046,1055,1066,1077,1082,1095,1096,1112,1116,1122,1133,1143,1152,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,31,41,49,51,59,73,81,85,96,108,111,121,131,143,153,158,162,176,313,324,333,343,346,354,367,369,383,391,396,406,420,424,432,439,454,601,612,626,634,640,649,652,668,671,678,692,701,711,712,721,732,738,750,756,763,775,788,795,800,812,818,829,836,843,854,863,871,876,889,898,904,914,919,930,942,944,956,959,970,984,989,1000,1007,1016,1027,1034,1037,1046,1057,1068,1073,1086,1087,1102,1106,1115,1127,1132,1147,1150,1164,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,19,29,37,43,59,66,68,83,93,96,109,111,122,135,138,152,157,168,177,315,326,327,335,346,358,366,370,385,387,401,404,416,423,430,444,448,606,615,624,628,636,646,658,663,671,681,691,695,706,719,728,734,739,751,759,765,780,784,795,800,812,820,826,835,848,855,861,873,877,888,896,904,909,918,928,936,947,953,962,971,978,989,997,1005,1017,1022,1034,1037,1051,1058,1066,1074,1086,1090,1096,1111,1119,1128,1137,1145,1150,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,31,37,44,52,61,71,83,86,100,105,114,122,133,144,151,156,162,173,314,323,331,338,349,357,365,370,379,393,395,411,413,423,430,443,471,605,616,618,627,641,650,653,661,669,678,687,699,703,720,725,733,742,747,755,767,775,783,793,803,808,818,831,832,841,855,858,866,880,883,895,903,913,921,927,937,948,958,960,976,983,986,1001,1008,1013,1019,1035,1040,1048,1060,1067,1073,1085,1091,1096,1112,1119,1124,1136,1142,1148,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,27,42,45,54,62,76,80,92,98,105,111,126,130,143,146,154,169,178,315,323,330,342,344,353,361,372,386,395,396,409,414,427,431,443,455,605,609,623,630,638,645,653,663,672,681,690,701,705,716,727,729,743,746,761,767,774,783,789,798,808,817,828,836,840,852,857,868,880,887,894,900,910,924,926,935,948,954,960,973,984,990,998,1003,1017,1025,1032,1038,1051,1059,1070,1074,1082,1095,1099,1105,1120,1125,1130,1143,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,20,27,38,47,57,67,74,82,91,101,104,114,126,134,139,153,159,163,176,316,321,330,343,350,353,363,376,382,394,399,407,420,422,433,440,454,601,610,622,628,639,650,657,663,671,678,692,697,711,718,722,734,740,746,759,769,775,781,797,801,809,821,823,839,842,855,861,866,875,891,898,900,908,924,927,939,947,952,961,975,982,991,1000,1003,1011,1024,1032,1037,1052,1058,1065,1073,1083,1089,1102,1111,1117,1125,1134,1140,1152,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,26,39,50,55,60,76,80,87,100,104,118,127,129,138,151,157,165,173,187,319,332,337,349,352,361,377,381,387,398,406,412,428,434,443,599,606,609,618,634,641,647,652,668,677,680,691,695,705,716,726,737,745,748,759,765,775,788,796,800,809,814,828,834,846,853,861,866,875,883,892,907,913,919,930,937,949,957,960,972,984,991,993,1008,1016,1023,1033,1041,1049,1057,1065,1077,1085,1093,1099,1109,1119,1129,1133,1144,1149,1162,1165,1174	0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
8,16,17,33,41,50,56,59,73,78,89,96,107,117,126,134,141,146,160,163,173,185,325,326,337,351,356,368,376,383,393,402,411,415,425,433,440,600,607,615,624,630,640,645,655,668,674,681,694,700,706,714,726,736,737,751,760,767,775,781,793,802,808,819,824,831,841,855,860,870,881,884,892,901,908,921,929,937,949,958,963,972,978,990,995,1003,1011,1025,1035,1041,1047,1053,1062,1074,1081,1088,1102,1111,1116,1128,1137,1145,1149,1164,1166,1174	0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0
3,14,23,25,40,42,59,67,72,82,87,102,107,113,127,128,142,148,158,165,178,179,321,334,339,350,357,362,375,381,388,402,408,414,427,430,438,597,607,613,621,626,637,643,660,662,677,684,688,696,708,712,722,729,743,747,760,769,776,788,790,805,812,818,831,836,841,850,865,873,878,886,892,899,912,920,933,936,950,952,962,969,977,990,995,1004,1015,1021,1034,1042,1050,1060,1067,1077,1081,1092,1097,1106,1113,1126,1131,1145,1147,1161,1171,1173	0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,24,26,36,46,58,60,71,84,87,100,102,115,119,136,138,145,154,164,172,182,321,328,341,345,358,364,376,385,394,395,404,414,428,435,444,448,607,616,621,628,642,649,656,664,676,678,694,699,710,712,724,737,745,750,762,770,778,784,793,805,810,819,823,832,843,848,863,872,878,887,893,905,914,923,925,935,948,958,965,971,979,989,1000,1008,1012,1024,1029,1039,1047,1058,1065,1075,1083,1088,1104,1105,1121,1128,1135,1139,1155,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,17,28,42,50,53,65,72,77,91,95,105,114,121,132,139,145,158,168,178,317,324,331,335,345,357,367,376,378,391,402,407,418,422,429,442,459,608,613,623,631,642,644,653,668,677,683,690,697,709,715,723,730,743,749,757,770,776,786,796,800,811,814,824,832,847,851,861,868,880,885,898,906,910,918,930,942,945,954,961,970,979,992,998,1005,1013,1023,1030,1041,1045,1054,1062,1071,1080,1090,1099,1107,1120,1122,1136,1142,1151,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,8,21,33,40,46,56,65,72,84,90,94,105,113,122,135,137,145,157,163,177,189,326,328,336,349,358,368,372,382,391,399,404,412,425,433,444,456,604,610,621,628,636,651,653,667,676,681,692,697,705,712,720,733,739,747,761,763,778,781,789,804,812,822,830,836,841,856,864,872,877,885,893,903,910,917,926,941,942,956,964,974,979,987,994,1005,1018,1023,1028,1042,1051,1061,1066,1073,1084,1092,1102,1106,1115,1125,1133,1142,1149,1161,1166	1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,19,32,37,44,57,67,72,77,87,94,104,111,126,134,142,151,158,169,175,193,318,334,341,351,358,361,369,384,393,398,408,418,423,431,440,455,609,615,621,631,635,651,655,668,670,678,693,696,711,716,725,734,740,753,760,771,779,788,795,802,814,821,830,837,843,853,858,866,877,886,897,903,912,923,932,942,944,959,966,975,981,987,997,1005,1016,1025,1028,1042,1047,1057,1062,1072,1083,1092,1096,1112,1121,1128,1137,1140,1150,1162,1166	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
4,8,22,25,41,47,53,65,69,80,88,96,107,118,122,135,142,147,155,162,173,185,323,332,342,350,358,368,374,384,390,400,408,414,422,436,441,596,608,614,625,629,635,651,654,664,676,682,687,702,711,716,721,736,742,748,758,765,773,784,793,799,808,818,828,838,843,851,858,869,877,890,892,905,911,923,925,937,947,958,966,969,979,987,997,1010,1013,1025,1033,1043,1049,1060,1069,1076,1083,1090,1102,1111,1116,1130,1131,1146,1155,1164,1170,1176	1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,23,26,35,48,53,64,75,78,89,98,106,112,123,128,138,147,162,164,173,315,323,334,340,346,360,367,371,378,390,399,407,412,427,432,445,597,606,611,626,633,635,645,653,662,672,680,693,696,705,715,727,735,737,753,760,766,779,780,795,797,810,820,826,833,848,852,859,869,878,888,892,903,916,918,929,940,942,954,964,975,980,989,999,1006,1017,1026,1031,1037,1053,1059,1067,1072,1086,1093,1102,1110,1116,1123,1136,1140,1152,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,33,40,49,58,62,72,85,91,95,110,117,127,136,138,151,160,164,171,179,324,328,340,352,358,361,371,379,393,402,405,420,423,434,444,599,607,616,622,628,640,649,656,663,671,682,687,699,709,717,724,732,737,751,757,768,775,787,796,801,810,815,828,838,846,849,861,873,882,883,897,900,912,923,925,939,942,959,963,970,979,993,997,1005,1019,1026,1034,1037,1050,1061,1069,1078,1080,1094,1098,1107,1114,1127,1137,1141,1148,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,10,25,28,36,50,59,62,70,85,89,99,109,118,124,131,142,152,160,165,176,184,318,332,336,350,354,367,375,382,387,400,407,415,428,435,443,598,602,617,621,634,642,650,656,661,674,680,689,698,705,715,722,730,746,752,761,769,775,784,795,798,812,818,827,838,841,854,860,871,878,889,898,903,914,922,930,934,946,959,961,976,980,990,1000,1010,1012,1026,1033,1040,1052,1055,1068,1077,1086,1088,1103,1106,1118,1126,1134,1141,1153,1159,1164	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,17,32,36,45,55,64,70,79,93,100,102,114,123,135,145,146,154,167,172,194,321,330,340,350,358,362,370,380,387,398,405,415,422,434,438,453,606,611,621,628,637,646,656,663,676,685,691,697,707,718,723,729,738,752,762,763,776,788,794,799,807,821,827,839,844,849,859,870,876,886,897,900,910,916,925,934,944,957,960,969,984,987,998,1007,1012,1027,1034,1042,1050,1055,1069,1077,1080,1094,1103,1109,1114,1124,1132,1142,1148,1160,1165,1174	0,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,21,33,35,45,54,67,71,82,90,95,104,113,126,132,137,146,154,162,176,183,322,331,342,349,359,368,374,382,391,403,406,412,421,430,442,598,601,610,623,632,636,645,653,662,670,685,687,698,711,716,725,730,743,751,755,764,779,783,794,797,811,817,830,840,848,856,860,870,877,882,893,900,914,917,928,935,943,951,962,976,980,987,993,1006,1018,1025,1035,1037,1045,1059,1070,1076,1079,1096,1104,1106,1119,1125,1133,1147,1150,1163,1169	1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,18,28,36,50,52,63,75,82,87,101,109,117,121,135,144,145,159,164,178,179,326,333,339,349,358,364,374,380,391,400,409,416,424,432,440,463,606,616,619,629,643,650,656,663,675,678,688,696,704,713,725,732,743,752,761,764,779,788,797,802,812,816,828,836,845,848,865,873,876,886,898,901,915,921,930,942,945,953,963,969,978,990,994,1009,1013,1023,1035,1043,1046,1057,1069,1075,1079,1091,1100,1111,1116,1123,1134,1142,1148,1156,1168,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,17,32,34,46,56,62,75,84,90,102,107,115,124,135,144,153,154,163,177,179,323,330,336,345,357,364,374,386,391,402,411,413,425,430,442,596,606,609,621,632,642,644,658,661,675,684,689,699,708,712,721,734,742,748,758,769,779,785,794,798,810,820,830,837,844,853,861,868,880,884,893,908,909,920,933,942,949,953,967,975,978,986,1001,1002,1017,1024,1033,1040,1045,1054,1063,1075,1085,1089,1102,1107,1121,1125,1131,1145,1148,1163,1169,1174	0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,13,17,33,41,46,55,67,73,79,89,102,105,115,127,131,142,149,160,167,177,313,321,330,338,350,355,367,375,383,390,401,411,416,429,436,443,596,608,614,623,633,636,649,660,668,675,685,689,697,705,718,728,732,738,750,758,768,773,787,791,803,810,815,825,836,846,853,861,872,875,885,896,903,908,925,927,935,950,959,960,973,981,990,997,1004,1012,1020,1032,1039,1053,1061,1062,1076,1086,1089,1097,1106,1113,1127,1131,1142,1152,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,23,30,39,43,52,62,73,80,86,97,106,115,128,132,144,152,153,168,173,318,319,327,339,344,355,367,369,383,387,397,410,414,425,429,445,600,607,610,622,632,642,645,655,662,672,683,689,702,705,715,721,732,745,747,758,767,775,786,789,799,812,815,831,837,847,853,858,869,876,888,891,905,915,917,927,936,950,951,966,969,984,988,997,1007,1014,1021,1030,1044,1045,1059,1065,1075,1085,1094,1096,1106,1119,1124,1134,1143,1148,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,28,38,45,52,61,72,78,89,101,110,117,120,131,144,151,158,168,176,316,323,330,342,350,359,367,370,380,394,398,406,416,421,436,439,596,601,612,624,630,637,647,660,661,676,682,691,697,711,714,721,736,743,749,756,769,774,780,791,798,814,816,825,835,848,855,864,866,882,883,899,906,910,920,926,935,949,956,967,974,978,988,997,1005,1013,1021,1032,1037,1045,1056,1064,1076,1080,1094,1097,1110,1115,1123,1136,1139,1148,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,25,32,40,47,58,65,76,84,87,97,110,117,121,134,143,145,160,163,174,315,320,332,338,347,354,363,375,384,391,395,411,416,428,434,445,467,604,611,619,628,641,649,660,662,673,684,687,702,707,716,727,730,741,752,762,768,773,782,788,800,813,816,827,835,844,855,862,872,877,890,898,904,914,922,926,935,948,956,961,968,979,989,994,1007,1011,1027,1032,1038,1045,1062,1067,1075,1082,1092,1103,1109,1118,1129,1133,1142,1154,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,33,40,46,54,61,71,79,89,100,104,114,127,135,138,145,156,170,172,314,320,329,340,346,355,368,372,386,395,396,404,415,426,432,445,600,605,616,625,626,642,646,655,667,676,684,688,699,710,716,725,734,742,749,757,769,778,786,791,804,806,821,827,839,842,849,863,869,877,884,891,908,910,924,926,935,945,955,966,970,982,990,996,1005,1018,1027,1033,1044,1052,1060,1070,1072,1083,1090,1103,1112,1118,1126,1132,1142,1151,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,29,41,48,59,67,74,79,92,96,105,113,126,131,139,152,160,164,171,317,322,333,339,348,354,363,374,385,389,401,407,412,423,436,439,458,604,611,619,634,641,644,659,663,671,681,692,702,711,720,722,729,742,753,760,765,775,787,789,802,814,822,828,833,844,854,858,871,881,889,893,902,908,920,930,939,944,952,967,972,983,989,1000,1004,1017,1019,1029,1041,1050,1056,1063,1076,1082,1096,1097,1109,1121,1125,1131,1146,1153,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,21,26,36,47,59,65,73,81,89,98,109,113,120,130,137,147,160,169,170,313,322,329,341,347,358,369,376,385,387,400,408,420,424,429,439,597,601,612,625,634,640,651,658,666,676,683,694,696,708,714,721,732,740,751,759,766,774,781,790,805,807,816,823,831,847,849,857,872,876,884,893,906,912,924,929,934,948,955,960,973,980,990,1001,1006,1012,1026,1028,1041,1049,1061,1065,1072,1085,1092,1102,1108,1117,1125,1134,1144,1153,1158,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,23,32,37,49,52,63,74,79,91,101,111,113,124,132,142,153,157,165,174,314,321,334,343,348,355,368,372,383,391,402,410,418,422,434,443,452,604,616,625,631,640,643,652,664,671,681,693,698,709,717,723,732,742,747,759,769,778,781,796,801,807,818,824,834,847,856,861,869,874,890,899,905,909,917,928,936,942,952,966,969,980,987,1000,1009,1018,1027,1033,1041,1052,1059,1066,1072,1087,1095,1103,1107,1114,1126,1136,1139,1148,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,31,39,45,53,65,69,78,90,98,107,113,126,131,140,148,159,167,172,179,322,327,341,349,357,368,375,384,393,400,405,413,423,432,445,600,605,615,620,633,636,645,654,666,673,683,693,695,708,717,728,736,740,753,759,771,778,788,789,800,812,817,824,837,848,853,865,872,876,890,898,903,909,920,927,934,948,958,963,972,982,989,999,1003,1012,1027,1032,1039,1048,1058,1069,1077,1080,1088,1096,1110,1118,1124,1136,1147,1152,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,13,19,27,37,44,59,66,72,83,90,96,108,113,120,135,139,147,157,170,172,316,318,327,339,349,353,362,369,383,393,401,406,418,428,429,438,600,606,609,619,632,636,644,652,663,675,680,687,700,708,719,727,734,741,749,762,771,778,781,789,799,810,822,826,837,847,850,859,869,878,883,897,907,914,921,929,936,950,951,967,971,978,989,999,1003,1016,1025,1030,1037,1050,1056,1064,1077,1085,1092,1100,1112,1116,1127,1137,1145,1148,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,26,38,45,58,67,76,85,86,96,108,113,121,134,140,146,157,167,178,314,324,327,337,345,356,361,374,378,393,403,404,416,428,434,442,449,604,613,620,629,636,651,657,662,672,685,692,702,704,715,726,730,745,750,757,764,780,785,792,803,812,814,825,832,844,853,863,873,874,887,891,903,913,919,925,938,948,953,965,971,983,991,995,1003,1017,1020,1035,1044,1048,1054,1069,1070,1086,1094,1102,1109,1113,1121,1133,1139,1152,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,28,36,44,51,63,74,81,89,98,106,117,127,130,141,145,158,164,175,316,322,334,339,349,355,364,372,383,387,396,405,414,423,433,445,449,601,609,619,628,643,649,655,666,676,685,686,698,711,717,724,733,743,746,757,766,778,783,790,798,809,820,823,837,846,853,858,871,875,887,894,906,914,918,928,937,943,958,963,970,976,993,994,1004,1018,1026,1031,1039,1053,1058,1064,1078,1083,1091,1097,1110,1120,1125,1131,1144,1150,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,23,29,38,45,51,68,71,82,93,102,105,119,126,135,144,151,158,164,179,317,323,328,336,349,358,364,370,378,390,396,409,418,426,432,443,597,606,614,622,629,639,650,658,668,672,685,690,696,705,714,728,736,742,746,762,770,773,788,796,801,813,821,825,835,844,854,861,872,875,890,899,907,908,924,927,936,947,952,960,974,984,993,997,1009,1014,1023,1032,1037,1053,1056,1065,1077,1087,1094,1102,1112,1121,1127,1136,1142,1154,1162,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,27,41,48,54,64,75,83,85,98,106,113,120,134,137,148,158,165,176,185,324,328,338,352,357,365,374,385,392,399,407,416,428,436,445,600,607,615,624,633,638,647,660,665,669,681,688,695,703,717,728,736,744,750,760,767,774,787,794,802,806,820,831,834,843,853,858,873,874,890,897,902,914,916,929,937,949,955,962,976,985,992,996,1002,1016,1021,1034,1036,1052,1059,1063,1075,1085,1090,1096,1111,1117,1129,1133,1145,1149,1156,1169,1173	1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,10,18,28,41,49,51,61,70,81,88,97,103,115,127,131,143,151,153,169,173,313,322,333,337,351,357,361,371,378,389,403,407,416,425,433,446,599,608,609,622,634,642,649,654,665,677,678,688,695,707,719,721,736,739,754,758,765,779,784,789,804,808,814,823,835,844,852,862,868,876,891,899,904,915,919,929,938,948,955,963,973,983,993,996,1007,1014,1026,1032,1044,1047,1059,1063,1077,1083,1089,1098,1110,1121,1126,1133,1141,1155,1161,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,33,38,46,57,61,70,79,88,94,105,113,128,135,142,152,157,164,171,314,319,328,343,348,353,366,375,382,392,399,411,420,428,429,443,598,606,613,620,633,641,646,655,663,673,681,694,697,709,719,724,733,741,751,755,766,772,784,793,804,810,818,827,833,842,849,860,873,880,883,893,904,916,918,928,941,950,957,964,976,983,988,998,1008,1019,1024,1030,1043,1045,1059,1067,1078,1079,1093,1104,1110,1117,1127,1137,1147,1154,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,27,42,46,51,67,75,82,90,94,110,115,122,134,144,151,160,165,172,313,323,329,335,348,353,368,372,380,388,396,405,416,424,431,445,598,607,612,621,633,639,646,652,661,669,682,693,696,710,717,722,731,740,753,757,766,774,785,797,802,813,817,830,834,841,854,862,870,882,885,894,908,915,919,926,935,942,951,961,970,982,985,1001,1007,1019,1026,1028,1037,1049,1059,1065,1075,1081,1090,1104,1112,1120,1122,1137,1139,1154,1163,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,17,33,39,47,55,63,71,77,87,95,110,112,124,132,144,146,158,166,174,314,325,335,342,349,354,364,370,382,389,395,405,412,421,429,443,451,606,614,621,632,641,650,652,663,675,685,686,697,709,713,727,729,739,748,756,765,776,788,790,801,810,815,824,837,840,856,863,872,876,885,895,907,910,920,930,934,943,953,967,975,977,990,994,1010,1018,1022,1030,1039,1053,1058,1067,1074,1086,1089,1098,1112,1115,1128,1131,1138,1149,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,31,38,49,57,64,69,77,90,96,104,117,122,132,145,151,160,167,171,313,322,327,337,351,356,366,371,382,387,399,405,412,422,433,437,597,603,611,624,632,643,649,660,662,671,678,688,700,711,717,724,735,738,749,756,771,774,786,790,800,811,815,828,837,841,852,864,873,876,888,894,904,911,920,930,941,946,953,960,975,982,987,996,1008,1011,1026,1028,1036,1052,1059,1062,1073,1084,1095,1099,1111,1114,1126,1134,1145,1148,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,25,33,40,44,56,60,75,80,91,95,109,116,125,135,138,149,160,164,171,317,322,335,340,345,360,366,372,385,386,399,404,414,420,430,445,465,602,616,623,631,637,649,652,664,675,679,694,700,711,715,724,732,740,747,761,768,771,781,795,798,806,814,829,832,840,849,862,871,878,883,896,899,913,920,933,940,944,954,965,969,979,990,993,1007,1014,1025,1029,1037,1047,1053,1069,1071,1083,1093,1100,1106,1115,1123,1130,1140,1154,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,33,39,49,57,63,69,82,93,101,106,116,124,128,142,153,156,164,177,316,322,327,336,347,354,364,375,380,386,401,408,420,425,435,443,600,603,615,626,629,642,650,654,665,674,681,686,701,705,715,723,735,742,748,762,763,774,781,792,799,811,816,828,838,846,853,858,871,880,887,898,905,910,921,932,939,948,952,968,976,979,990,998,1003,1018,1019,1031,1041,1053,1060,1064,1078,1087,1095,1103,1112,1116,1124,1133,1146,1152,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,31,38,50,55,61,74,83,85,99,109,118,124,133,144,148,159,167,179,317,324,327,339,350,360,367,371,383,390,401,409,413,421,432,442,598,604,610,622,634,637,644,658,662,669,683,689,696,710,718,727,733,741,752,760,763,775,788,797,805,808,819,823,837,844,852,863,869,880,886,894,901,911,923,932,941,947,954,962,973,981,987,999,1003,1012,1019,1031,1043,1049,1060,1066,1074,1085,1090,1102,1104,1121,1123,1131,1139,1154,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,31,36,48,58,68,76,82,93,100,105,117,120,135,142,148,154,165,171,315,318,335,338,347,356,364,372,384,390,401,404,413,425,431,445,453,604,613,621,628,643,651,653,667,673,685,690,703,705,719,727,734,744,749,758,769,776,780,795,800,811,822,827,839,841,851,861,868,879,885,896,905,914,924,927,938,950,956,962,970,976,992,999,1007,1011,1027,1034,1039,1052,1061,1065,1070,1081,1095,1098,1112,1114,1122,1133,1140,1149,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,33,36,51,59,67,71,79,88,98,107,115,120,131,144,148,156,167,174,317,326,332,339,348,359,361,373,381,387,402,405,414,428,436,445,456,601,610,626,631,641,648,652,662,674,678,688,699,705,717,721,732,738,750,763,768,778,780,795,805,810,818,826,836,847,850,858,867,876,889,897,902,915,925,929,937,944,954,967,975,982,990,997,1007,1017,1024,1035,1043,1051,1057,1067,1078,1087,1092,1100,1110,1114,1128,1135,1146,1154,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,31,41,46,51,61,75,82,86,101,102,116,124,135,142,147,156,167,172,313,324,334,341,347,357,363,373,378,387,398,406,414,422,436,445,599,605,614,623,631,641,648,656,668,669,682,689,699,705,713,720,731,741,746,759,767,779,784,796,803,813,822,823,833,845,849,857,872,876,886,896,907,915,924,928,939,948,952,963,970,982,986,994,1005,1016,1024,1029,1040,1050,1053,1063,1072,1084,1095,1100,1108,1120,1121,1132,1143,1147,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,22,29,40,46,52,61,72,79,90,99,107,117,121,135,143,149,157,167,173,317,320,328,340,345,354,364,375,380,393,400,406,415,426,429,443,468,607,612,620,628,638,643,655,663,676,678,686,699,704,714,723,733,739,748,760,769,774,781,794,799,812,820,825,835,847,852,859,874,877,889,893,900,913,923,930,933,948,954,964,968,979,988,1000,1003,1012,1025,1032,1044,1052,1060,1062,1072,1079,1090,1097,1109,1115,1128,1131,1144,1147,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,27,37,43,57,68,75,80,88,94,105,113,122,135,144,152,159,169,175,181,324,328,336,350,360,367,377,384,387,400,405,414,426,435,438,600,601,617,623,630,637,644,656,665,672,678,691,699,706,719,720,732,744,750,759,766,772,781,789,800,811,822,829,839,840,852,861,872,875,888,891,905,913,923,930,941,943,953,959,974,978,990,1002,1004,1015,1021,1034,1042,1047,1056,1066,1075,1086,1090,1103,1108,1118,1129,1134,1139,1149,1158,1166,1174	0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0
0,15,25,31,37,47,55,66,68,85,90,95,108,117,122,131,140,145,157,170,177,188,323,332,339,350,352,369,377,379,390,399,408,417,427,429,439,598,603,609,622,630,638,647,659,663,676,685,693,697,707,716,723,729,740,751,761,764,778,783,793,798,808,814,825,834,847,855,862,868,882,890,891,907,908,921,931,941,946,955,967,968,980,990,998,1005,1016,1025,1028,1041,1051,1058,1067,1073,1082,1095,1100,1107,1113,1124,1138,1140,1150,1161,1173	1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
0,9,18,33,42,51,53,62,73,77,88,102,103,116,120,133,144,146,158,168,174,185,322,327,340,348,360,363,373,380,389,402,410,416,421,433,442,599,602,612,623,628,640,645,655,660,670,683,689,701,709,716,723,734,739,750,760,771,776,781,793,804,807,821,827,835,846,852,859,869,881,888,895,900,909,919,927,940,943,957,961,968,982,986,1001,1004,1013,1022,1032,1043,1050,1059,1065,1076,1085,1088,1102,1111,1119,1122,1134,1143,1154,1159,1165,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
1,11,22,26,34,50,52,65,76,82,92,100,105,118,123,136,140,149,157,167,177,181,320,328,338,345,353,367,371,385,388,397,407,419,428,433,441,467,602,609,618,627,635,651,656,667,674,683,687,703,707,717,726,730,739,746,758,763,774,785,792,804,811,821,827,835,841,854,860,867,876,885,897,907,912,923,927,937,947,954,967,971,984,986,1000,1009,1013,1023,1030,1038,1049,1058,1067,1076,1084,1095,1100,1106,1117,1124,1137,1147,1149,1161,1171,1176	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,17,27,42,44,56,66,68,79,91,95,109,111,122,133,140,146,159,165,173,181,319,333,335,347,358,362,372,383,389,402,410,415,422,429,439,468,608,616,621,626,638,649,657,668,672,679,688,702,705,716,721,730,741,747,760,763,777,785,793,802,809,817,824,837,840,855,861,872,880,886,893,905,911,919,933,940,948,952,964,971,978,991,1001,1003,1014,1019,1030,1041,1050,1061,1069,1074,1085,1094,1103,1111,1113,1122,1134,1140,1150,1157,1169,1174	1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
1,14,17,30,37,45,53,62,68,85,87,98,107,113,127,128,141,151,155,163,173,183,324,331,341,347,359,363,374,384,387,397,408,415,426,434,438,599,607,610,622,629,643,651,656,660,670,679,694,697,709,717,725,731,745,749,762,769,772,783,790,800,811,822,827,833,844,852,860,866,877,883,894,905,910,921,927,934,942,956,959,973,980,990,999,1004,1011,1026,1035,1041,1052,1061,1068,1076,1080,1089,1098,1106,1116,1124,1136,1143,1148,1159,1166,1177	0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,24,30,37,43,58,61,68,83,93,94,106,118,120,131,140,147,161,170,178,194,319,335,336,347,358,367,377,382,391,398,411,417,427,434,444,596,608,615,620,634,636,644,652,660,675,683,690,698,708,715,723,730,745,752,760,767,779,782,790,797,809,820,828,838,843,850,861,869,878,883,892,902,913,921,929,940,950,956,961,968,977,986,995,1004,1018,1027,1035,1038,1049,1057,1067,1071,1081,1091,1104,1108,1113,1123,1137,1142,1153,1157,1166,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,9,24,31,35,50,52,63,76,79,90,100,108,119,124,132,143,152,159,166,171,187,324,330,342,344,355,367,377,383,390,397,406,415,420,430,444,451,601,616,618,634,636,646,657,667,677,684,691,695,706,713,726,736,739,750,755,765,775,785,790,801,810,816,826,833,845,856,859,870,881,882,891,902,911,923,927,939,948,958,968,976,980,989,998,1007,1017,1022,1034,1042,1047,1054,1064,1077,1080,1094,1103,1112,1113,1126,1134,1145,1147,1157,1171	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,12,23,27,41,49,56,68,74,84,87,94,104,114,121,129,143,146,154,169,171,315,321,335,337,349,360,363,370,378,393,395,411,419,423,430,438,468,604,610,626,631,638,643,659,664,672,683,690,696,710,716,725,736,744,753,757,767,780,782,795,798,812,820,829,836,846,856,863,873,880,889,896,901,908,923,932,936,950,953,961,975,981,991,994,1009,1016,1027,1033,1043,1047,1054,1066,1077,1079,1093,1104,1111,1113,1123,1132,1144,1147,1164,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,33,37,42,55,63,75,78,91,102,106,113,120,134,140,151,159,168,176,193,326,327,338,351,353,362,376,379,390,396,408,419,422,435,444,600,602,612,624,634,643,651,660,663,676,679,689,702,710,714,723,736,739,750,758,767,778,785,796,802,814,822,830,836,841,853,864,866,880,886,897,905,909,923,931,939,947,953,960,974,976,992,997,1004,1014,1019,1035,1043,1045,1057,1062,1076,1080,1092,1101,1105,1117,1127,1130,1139,1152,1158,1165,1177	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,10,19,30,40,45,51,61,75,77,86,98,104,117,121,130,142,152,158,164,173,184,322,333,339,346,352,368,373,380,391,396,408,419,424,431,439,598,605,615,623,629,640,649,655,662,671,679,691,698,705,716,724,730,744,749,758,769,777,782,794,803,810,815,823,839,840,854,858,870,882,888,893,902,909,918,927,940,943,958,961,974,980,991,996,1007,1011,1027,1035,1037,1053,1059,1066,1075,1084,1094,1100,1111,1117,1122,1137,1139,1148,1157,1167,1176	1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,21,32,35,42,53,65,73,78,93,96,109,115,127,129,138,151,157,162,173,189,319,328,340,351,354,365,376,384,388,397,404,419,423,431,438,470,601,611,625,627,641,649,655,664,673,683,688,700,708,718,727,733,743,751,761,764,777,786,795,802,814,821,826,832,844,852,862,870,876,887,898,899,911,921,932,937,943,957,967,971,977,992,1001,1003,1019,1021,1035,1039,1047,1055,1064,1077,1086,1092,1102,1108,1120,1122,1130,1146,1154,1160,1169,1175	1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,22,27,38,46,54,60,68,85,90,101,105,111,124,134,144,148,158,167,171,180,324,330,338,352,355,369,374,382,391,399,406,419,428,433,445,454,604,610,621,630,641,649,660,666,671,683,694,696,709,716,723,732,740,753,756,768,772,781,797,803,806,818,823,836,847,853,860,866,882,887,896,907,914,925,932,936,943,953,965,975,982,985,994,1004,1016,1023,1033,1039,1052,1054,1063,1075,1087,1088,1103,1110,1116,1126,1133,1146,1152,1160,1171,1178	1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0
0,13,20,31,36,43,56,64,73,80,88,96,106,119,121,130,137,147,155,163,173,209,319,335,339,343,357,365,373,379,390,402,406,414,428,431,440,460,603,611,624,626,637,647,656,665,672,683,693,700,709,720,728,732,741,754,757,770,772,783,789,802,807,821,828,833,840,854,861,870,876,890,891,900,915,921,932,938,949,953,963,975,980,986,999,1004,1016,1026,1029,1037,1052,1054,1069,1078,1080,1090,1100,1110,1115,1125,1132,1143,1147,1160,1172	0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,17,29,38,49,55,63,73,82,92,102,104,111,122,135,141,146,155,168,177,184,322,334,337,346,353,366,370,384,394,402,410,413,422,433,444,596,604,615,619,629,637,650,654,662,675,680,686,697,710,716,724,730,738,749,754,767,774,788,796,798,806,820,825,832,841,856,862,866,874,884,898,905,910,921,926,942,943,954,963,974,982,989,1000,1010,1016,1027,1034,1043,1046,1061,1062,1077,1079,1093,1097,1113,1121,1129,1138,1141,1151,1157,1171,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,21,28,40,44,56,60,76,84,86,101,104,114,127,132,144,147,157,165,177,313,319,334,340,345,353,362,370,385,392,396,408,413,424,433,442,596,606,617,619,634,636,647,655,665,675,680,692,702,709,716,721,734,737,753,754,765,780,782,794,799,807,820,827,838,844,854,857,871,875,883,891,905,908,924,931,933,943,956,967,971,983,992,1000,1007,1014,1025,1035,1042,1050,1059,1064,1071,1080,1094,1101,1106,1120,1122,1134,1146,1150,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,27,40,46,54,64,72,77,88,98,105,114,124,130,140,146,157,167,171,314,325,333,340,346,353,369,373,384,394,395,407,420,426,436,438,451,608,617,624,633,638,647,653,661,674,681,692,697,711,719,723,730,742,751,755,763,774,785,790,799,808,820,823,838,843,851,858,869,877,887,893,902,916,923,933,939,948,955,966,971,982,988,995,1002,1012,1019,1035,1043,1050,1055,1064,1077,1087,1094,1096,1112,1118,1122,1133,1146,1153,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,26,35,45,54,62,70,81,87,100,105,112,120,136,142,147,161,169,175,316,326,330,340,345,354,363,372,384,388,397,403,418,428,432,442,598,608,615,621,629,636,651,656,666,676,682,688,701,705,715,726,732,741,747,754,766,778,780,797,802,807,816,824,837,845,854,857,868,875,883,895,903,913,917,928,938,949,955,963,970,977,993,1001,1003,1015,1022,1034,1037,1052,1054,1065,1078,1086,1089,1099,1111,1113,1127,1132,1140,1151,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,29,42,45,57,66,76,82,92,95,110,113,125,135,137,147,155,169,171,314,320,332,337,344,357,365,376,383,392,400,410,415,428,433,440,598,608,614,619,629,637,649,658,663,672,684,690,702,710,718,722,734,745,753,762,764,774,787,794,805,811,820,828,837,843,852,857,873,876,888,897,906,912,918,930,937,948,955,967,970,983,988,994,1010,1017,1021,1035,1043,1052,1054,1068,1074,1079,1092,1100,1108,1115,1129,1131,1141,1150,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,29,37,43,57,63,68,84,90,93,110,111,126,135,139,151,161,162,177,315,322,331,341,348,358,368,377,378,386,397,410,416,426,433,444,598,606,613,621,632,637,645,658,666,671,678,690,695,708,719,725,736,745,747,760,765,777,781,796,802,807,817,829,838,840,854,860,866,878,888,894,899,910,917,925,935,950,956,960,975,984,991,996,1010,1017,1024,1034,1037,1050,1057,1064,1071,1086,1089,1102,1109,1120,1128,1132,1139,1152,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,33,40,48,58,60,69,82,85,94,104,116,121,134,140,146,161,166,171,314,320,333,337,346,359,365,373,384,392,395,404,414,425,431,438,598,606,614,621,634,638,648,658,662,675,685,689,700,711,719,724,734,741,754,757,771,778,787,796,805,806,818,829,835,844,854,864,872,880,890,896,906,909,917,930,937,950,957,961,975,980,992,999,1005,1015,1025,1035,1040,1046,1056,1070,1075,1083,1091,1100,1107,1116,1130,1137,1142,1150,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,28,39,42,53,66,73,80,90,94,104,115,122,134,138,148,161,163,178,315,320,327,336,346,356,368,374,378,390,397,410,419,421,430,439,600,604,614,622,632,638,647,656,667,672,686,687,695,710,717,724,732,742,752,762,763,774,783,791,802,808,817,829,832,845,855,863,870,875,891,897,902,911,921,929,934,943,955,962,975,978,989,1000,1008,1013,1021,1036,1044,1051,1056,1068,1075,1081,1091,1099,1112,1119,1123,1132,1145,1150,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,29,41,46,52,66,68,82,86,98,104,116,125,131,144,149,156,168,173,317,326,333,342,348,355,365,372,385,387,396,409,414,422,434,445,449,602,611,625,631,641,647,652,660,669,682,691,696,711,718,723,734,741,753,760,766,772,784,792,804,807,815,826,832,842,857,859,870,877,891,893,899,911,919,927,942,950,956,963,972,980,986,994,1003,1018,1024,1034,1043,1050,1059,1069,1070,1079,1094,1096,1110,1121,1127,1130,1144,1155,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,25,26,36,49,51,63,68,82,86,99,106,116,124,136,137,152,154,166,171,179,319,334,343,351,353,365,377,385,388,397,405,416,425,431,437,596,605,612,619,629,643,652,660,661,677,678,688,699,711,712,720,735,743,752,754,768,775,782,795,799,806,816,825,839,848,851,865,867,876,883,893,904,911,922,932,936,945,955,959,970,982,990,998,1002,1014,1024,1035,1044,1052,1054,1069,1071,1087,1088,1099,1110,1118,1124,1133,1140,1154,1163,1165	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
5,15,21,32,42,50,54,64,75,81,89,97,109,115,122,132,143,146,157,170,172,316,326,327,343,351,356,369,376,381,388,401,404,420,423,435,438,458,601,611,624,626,642,648,658,666,676,681,690,702,711,715,726,729,746,748,763,768,774,781,790,801,808,820,829,835,840,855,860,869,878,889,898,900,913,925,932,938,946,955,966,970,983,990,995,1003,1016,1024,1029,1043,1049,1053,1068,1076,1079,1095,1098,1110,1113,1128,1135,1143,1151,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,21,25,36,50,52,65,70,80,86,95,104,116,119,132,141,150,156,164,174,316,320,328,341,351,356,365,370,384,388,396,405,419,421,436,438,597,604,616,625,632,639,650,652,667,674,684,690,701,708,716,720,733,745,746,756,768,774,781,791,804,811,822,823,836,841,851,858,873,876,886,897,907,910,918,932,938,946,955,967,976,983,989,995,1009,1018,1020,1033,1041,1049,1061,1065,1077,1080,1089,1096,1106,1114,1123,1132,1140,1154,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,31,41,44,56,66,74,84,85,101,110,118,123,130,142,153,162,163,177,314,321,330,342,349,352,362,371,381,388,401,410,419,423,436,442,596,604,613,621,631,636,652,657,661,674,682,688,696,711,712,728,734,744,746,757,768,773,783,791,805,807,820,830,837,847,854,863,865,880,883,895,905,915,921,933,942,949,958,959,970,982,986,1001,1009,1015,1022,1033,1040,1049,1054,1066,1077,1082,1087,1103,1105,1117,1126,1138,1145,1147,1162,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,24,33,38,48,53,64,68,79,91,101,103,112,122,136,144,148,159,164,170,315,325,327,335,350,356,365,374,382,386,403,409,420,422,431,445,466,603,614,620,628,637,643,653,664,670,678,694,698,704,717,722,735,739,753,761,765,777,783,792,800,807,817,829,833,845,853,858,869,876,886,895,902,911,922,927,935,948,953,964,973,979,990,999,1008,1017,1024,1033,1044,1048,1055,1063,1075,1086,1092,1103,1105,1114,1128,1132,1145,1150,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,32,40,46,54,60,71,81,93,97,106,112,122,136,139,145,159,169,178,185,326,332,337,346,356,367,372,383,390,403,406,413,426,433,441,456,602,613,620,634,638,651,659,665,673,683,689,698,706,715,728,729,742,750,755,765,776,788,795,803,809,820,830,834,847,855,861,868,879,882,893,901,911,920,927,935,948,958,963,968,982,990,994,1006,1019,1021,1029,1042,1048,1055,1065,1072,1082,1093,1096,1105,1114,1129,1132,1143,1149,1157,1167,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
5,10,17,32,41,46,52,66,69,80,87,96,102,113,121,136,138,152,161,170,176,314,326,331,337,344,353,365,376,382,392,400,411,419,428,432,445,598,606,613,619,634,639,647,660,668,669,682,691,697,709,712,727,733,744,754,756,763,775,784,793,802,812,819,828,832,847,856,859,865,876,886,893,906,915,920,926,938,950,958,965,971,979,985,993,1008,1017,1021,1033,1036,1047,1061,1063,1078,1083,1090,1104,1113,1115,1125,1138,1142,1155,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,26,39,49,52,67,71,83,91,100,108,115,122,128,144,153,160,167,174,318,323,333,337,349,354,363,372,381,394,399,408,420,425,430,441,455,607,613,625,629,640,647,660,663,672,684,687,701,703,717,722,731,738,754,756,763,775,784,795,803,809,821,827,835,842,849,862,869,876,884,892,900,913,922,925,942,947,951,966,972,979,993,997,1006,1014,1020,1036,1038,1050,1060,1070,1073,1085,1088,1098,1108,1117,1127,1131,1142,1148,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,28,40,50,56,63,75,82,90,100,103,115,122,133,140,147,161,162,171,313,319,335,337,349,354,364,370,383,395,397,405,419,423,431,445,466,608,616,624,634,639,645,658,666,670,679,694,697,703,714,727,733,741,752,758,767,776,784,792,799,810,814,824,831,848,849,865,867,875,887,893,903,909,920,927,937,943,954,962,974,982,986,998,1008,1015,1022,1030,1041,1047,1055,1064,1073,1084,1094,1102,1112,1117,1127,1132,1145,1155,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,33,35,44,59,62,74,77,86,98,110,115,125,133,142,148,161,165,177,317,320,329,343,346,358,369,372,382,390,401,404,416,428,430,443,468,607,616,619,629,636,650,656,663,670,685,693,699,703,715,724,732,740,746,757,766,772,784,794,799,811,821,825,832,840,854,863,867,875,884,899,904,912,921,927,941,942,957,961,974,978,990,999,1009,1017,1025,1035,1041,1053,1061,1068,1076,1083,1091,1101,1106,1121,1127,1130,1145,1152,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,31,42,46,52,64,72,83,90,95,107,112,121,132,141,149,158,166,176,315,319,331,340,347,353,367,375,384,389,401,408,417,421,432,441,599,603,615,620,631,637,648,653,662,673,679,686,696,710,718,723,731,741,750,760,767,771,781,793,803,812,821,830,837,847,850,864,872,875,887,897,902,915,919,932,939,949,951,967,969,984,991,998,1006,1014,1025,1034,1037,1046,1058,1067,1078,1085,1095,1104,1106,1117,1129,1137,1142,1151,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,28,38,49,53,60,72,79,91,94,105,115,125,134,140,147,158,164,173,314,320,334,343,345,353,363,373,378,389,401,407,413,423,436,440,599,604,612,623,629,643,650,655,665,675,685,692,696,711,714,724,736,744,750,755,768,773,784,795,804,806,815,830,834,846,853,865,873,876,883,891,906,916,917,928,941,947,958,959,969,982,993,998,1006,1013,1019,1034,1038,1051,1056,1068,1074,1085,1095,1098,1109,1115,1126,1135,1141,1152,1162,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,29,40,51,58,62,76,82,91,96,108,117,120,133,144,146,154,166,174,313,319,335,343,348,357,368,372,384,387,398,410,417,427,437,440,599,602,616,621,631,637,648,654,667,676,679,689,702,703,714,722,733,745,749,760,764,778,782,791,804,810,822,830,835,843,852,857,865,874,886,896,906,915,921,933,940,950,954,959,976,983,992,999,1002,1013,1027,1035,1038,1049,1059,1064,1076,1081,1091,1101,1112,1118,1129,1135,1144,1150,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,32,37,43,51,68,70,78,92,94,109,115,122,131,143,151,157,166,179,313,321,333,336,344,357,366,374,381,393,402,408,419,425,437,441,448,603,615,625,631,635,649,655,661,674,685,687,695,710,719,721,732,740,753,762,766,772,784,792,803,814,822,823,831,840,851,859,871,877,885,894,905,915,922,933,941,943,952,962,969,984,986,996,1010,1014,1024,1033,1039,1048,1053,1062,1071,1085,1091,1101,1106,1119,1129,1133,1144,1148,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,31,37,45,54,60,71,78,88,101,109,115,119,129,137,149,154,162,173,318,325,329,341,345,353,368,371,383,395,399,411,415,424,434,442,469,605,611,624,633,641,648,660,662,674,679,692,694,704,714,722,734,738,752,760,764,778,786,797,802,812,822,831,833,846,851,863,873,880,890,897,900,913,923,927,939,943,951,963,974,978,992,1000,1005,1012,1023,1029,1037,1053,1059,1068,1071,1084,1091,1097,1112,1119,1129,1131,1142,1152,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,30,41,51,53,63,75,81,90,102,107,118,122,134,142,152,154,162,173,316,319,327,342,350,354,367,371,386,392,396,406,417,426,430,439,463,604,610,624,631,643,645,659,667,671,679,692,698,705,717,721,734,742,748,761,771,775,782,795,800,813,816,828,839,845,855,861,874,882,891,893,905,916,921,929,934,943,955,966,973,981,986,994,1010,1017,1026,1035,1037,1051,1055,1069,1075,1082,1094,1097,1106,1114,1125,1134,1140,1150,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,26,37,48,57,62,76,85,86,97,103,112,122,131,137,148,154,162,175,314,323,332,336,347,356,363,377,383,395,397,410,415,425,436,441,455,601,614,623,629,642,644,655,665,674,685,687,701,711,718,726,730,743,754,755,764,777,787,789,803,812,817,826,838,847,853,857,866,876,887,892,900,909,923,931,941,944,956,961,969,984,986,1001,1002,1011,1020,1036,1037,1047,1058,1064,1077,1080,1087,1096,1106,1119,1125,1137,1144,1154,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,30,42,50,59,64,72,83,85,98,107,116,127,128,143,151,158,167,176,314,325,333,342,348,355,366,370,384,388,399,410,417,428,430,439,458,607,617,622,629,641,651,657,665,677,683,693,695,704,716,728,733,738,750,757,768,778,786,791,803,813,816,827,833,841,853,863,866,882,887,894,907,913,921,933,937,946,952,964,976,982,990,999,1002,1017,1021,1028,1038,1051,1056,1069,1073,1081,1087,1102,1110,1115,1124,1138,1147,1154,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,28,38,47,54,67,74,78,93,99,103,118,121,136,138,150,155,164,171,185,324,335,337,347,360,363,372,380,391,399,406,417,427,435,445,596,607,612,622,633,642,651,652,669,673,680,687,697,706,718,723,734,737,746,755,765,771,781,794,804,805,819,824,838,840,848,864,870,874,890,892,900,911,917,933,938,950,951,966,973,979,988,997,1003,1014,1022,1034,1041,1050,1053,1063,1070,1086,1090,1102,1109,1113,1129,1134,1143,1150,1164,1168,1177	0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0
2,16,18,27,36,50,54,60,73,84,86,94,102,116,124,135,143,152,161,165,175,204,320,327,337,351,359,361,374,381,387,397,405,417,427,433,439,597,603,617,623,628,635,649,654,662,676,680,694,699,703,714,720,735,737,753,760,763,773,786,794,804,806,821,823,834,845,856,861,873,881,883,892,901,911,920,932,939,946,952,967,976,981,988,998,1006,1011,1025,1030,1036,1048,1055,1065,1078,1087,1092,1100,1107,1120,1129,1137,1146,1152,1160,1165,1175	0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,18,27,40,48,58,65,75,77,89,101,108,113,123,134,144,148,160,168,177,190,324,328,335,351,356,361,373,386,388,398,411,415,421,431,438,470,607,614,625,632,635,650,654,666,670,682,690,699,710,713,721,731,743,747,755,768,773,780,793,799,813,821,830,831,842,852,861,873,882,883,895,903,916,923,933,934,946,955,966,971,980,986,999,1004,1018,1021,1029,1037,1048,1054,1064,1074,1082,1094,1103,1104,1114,1128,1136,1141,1155,1164,1167,1178	1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0
1,10,21,32,40,45,58,63,70,82,93,102,105,116,120,130,143,151,157,165,178,179,319,334,338,346,355,361,370,383,386,397,403,415,428,429,445,461,608,614,623,627,637,643,657,664,671,685,693,695,706,712,721,734,740,752,762,770,775,784,792,797,810,819,823,836,846,849,857,872,877,891,896,901,915,920,933,935,943,954,959,972,979,986,995,1008,1017,1024,1033,1037,1045,1054,1067,1077,1086,1088,1097,1111,1114,1130,1131,1138,1149,1158,1170,1178	1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0
4,16,20,30,41,48,57,64,74,83,86,94,110,114,123,132,141,147,157,166,179,180,320,329,340,344,360,363,377,378,394,399,404,412,424,433,442,470,605,614,623,631,635,648,655,665,674,685,691,698,711,716,728,735,739,749,758,765,775,787,792,799,808,817,829,834,840,856,861,872,877,887,898,906,914,919,928,941,946,958,964,971,983,992,994,1009,1018,1021,1028,1037,1047,1053,1063,1072,1081,1096,1101,1109,1114,1123,1132,1139,1154,1156,1167	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,22,29,41,48,55,60,75,82,89,100,106,118,124,135,138,147,156,165,176,196,318,328,341,351,359,368,369,383,388,395,408,416,427,431,444,597,608,611,618,627,640,646,658,661,671,678,688,696,710,715,722,730,742,751,760,768,773,785,794,805,812,822,824,835,840,855,860,867,882,886,892,906,909,919,930,939,943,952,963,971,981,989,1001,1008,1013,1022,1028,1037,1053,1057,1067,1076,1086,1092,1096,1111,1114,1129,1131,1144,1155,1156,1171,1173	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,14,19,26,40,50,55,65,76,78,88,101,107,116,120,129,145,151,155,164,170,185,319,332,339,349,358,362,371,382,392,396,411,416,428,434,445,447,602,614,622,633,640,646,653,666,676,680,686,695,707,713,723,729,741,752,755,768,772,780,791,799,806,815,823,833,847,852,858,873,881,889,892,903,915,923,931,936,947,957,963,975,982,989,998,1008,1012,1024,1032,1042,1046,1054,1063,1076,1081,1089,1102,1110,1115,1126,1136,1141,1154,1156,1165,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,13,24,26,35,46,59,65,72,79,87,94,110,112,126,129,141,149,155,168,173,193,326,329,336,344,358,366,375,386,392,401,404,419,421,433,439,454,601,614,620,632,637,643,658,667,672,678,692,694,709,713,721,735,737,752,758,766,778,786,795,797,813,819,828,836,842,856,863,867,880,890,894,901,908,924,927,936,945,951,960,969,978,993,999,1004,1016,1022,1030,1042,1051,1057,1066,1078,1080,1090,1097,1110,1120,1124,1130,1147,1151,1163,1170,1178	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,31,38,43,58,64,75,79,89,95,107,114,120,129,143,148,158,169,171,314,326,334,342,351,355,361,373,381,392,397,407,420,425,431,444,599,603,611,623,630,636,646,659,668,669,677,694,701,707,718,723,732,745,751,757,765,773,786,794,797,813,817,830,833,843,850,861,866,879,888,894,902,910,917,930,939,947,954,962,973,976,989,996,1007,1013,1019,1030,1037,1045,1055,1066,1077,1082,1089,1102,1104,1114,1127,1137,1144,1148,1164,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,26,36,44,55,64,72,82,88,100,104,112,125,130,139,150,155,164,171,184,326,328,343,346,359,364,377,378,393,400,408,420,424,434,441,597,606,614,626,628,640,648,655,662,673,685,694,698,708,712,724,734,738,753,759,768,773,780,788,801,808,816,830,832,842,853,857,870,877,883,899,905,916,922,930,941,944,955,965,971,979,991,998,1008,1013,1022,1029,1041,1048,1057,1068,1077,1081,1095,1099,1110,1119,1126,1135,1140,1148,1164,1166	1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1
5,13,19,31,35,42,57,65,71,81,90,96,107,115,124,135,143,146,160,165,175,313,321,329,337,347,354,361,374,384,388,397,405,418,422,432,443,597,603,611,618,627,639,647,657,664,675,685,687,697,711,717,721,729,738,747,762,764,775,780,796,798,814,819,825,832,848,857,858,865,875,887,897,907,910,918,932,940,949,958,963,969,981,987,1000,1008,1011,1022,1028,1042,1050,1055,1069,1077,1080,1090,1099,1106,1117,1121,1138,1139,1152,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,32,40,44,58,61,74,84,87,98,107,117,127,130,139,149,161,168,177,183,322,329,343,350,359,363,372,386,394,399,410,414,422,434,441,468,603,617,620,634,639,650,653,661,670,684,694,701,704,714,722,733,742,754,757,767,779,787,794,801,807,818,829,831,843,856,859,871,881,890,897,902,910,920,933,940,943,958,961,968,981,988,995,1004,1015,1023,1030,1037,1046,1059,1063,1072,1081,1092,1102,1108,1120,1123,1138,1143,1151,1158,1166,1177	0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,16,23,30,35,50,51,60,71,78,88,97,104,111,120,132,138,149,161,162,177,182,323,328,338,344,359,368,371,383,394,401,408,416,422,435,442,463,602,614,625,632,638,645,658,665,675,685,690,696,711,719,726,735,743,746,758,768,780,787,788,799,806,822,824,837,840,849,863,867,876,887,892,903,914,923,933,938,944,954,967,974,983,992,999,1005,1015,1020,1032,1042,1046,1054,1062,1071,1081,1095,1098,1108,1119,1129,1136,1145,1150,1161,1172,1178	0,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,10,17,26,37,44,53,62,72,81,92,101,110,119,125,134,137,149,153,165,175,186,320,333,339,351,359,365,373,382,393,399,404,417,421,435,443,596,608,610,624,634,636,644,653,664,673,683,687,696,709,720,722,732,746,752,759,766,774,782,797,801,808,822,830,837,843,850,864,867,877,884,891,907,915,918,929,936,945,959,963,971,983,987,1002,1003,1016,1021,1028,1036,1050,1054,1067,1070,1087,1092,1100,1112,1117,1124,1135,1139,1149,1160,1168,1176	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,23,32,42,43,54,64,71,83,92,95,106,112,126,129,138,152,157,169,175,184,321,332,340,345,360,361,371,381,390,400,406,418,427,435,443,596,609,613,621,630,635,643,654,665,669,685,688,701,708,717,721,732,741,751,757,767,774,783,796,798,811,820,829,837,841,855,864,870,879,889,898,906,911,921,926,940,947,954,963,971,977,991,998,1006,1012,1024,1032,1041,1049,1059,1066,1078,1083,1095,1104,1105,1118,1123,1133,1140,1148,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,23,33,34,46,59,65,72,80,89,96,107,119,127,135,144,147,155,163,174,315,319,334,338,344,355,364,377,383,394,399,410,420,423,430,439,597,608,617,618,627,638,651,657,665,676,679,693,698,708,719,724,735,738,750,759,771,778,785,793,801,807,821,828,832,840,851,860,870,879,889,892,905,913,917,929,935,943,952,959,972,977,987,1000,1009,1012,1023,1033,1044,1048,1058,1068,1073,1080,1090,1104,1105,1120,1122,1138,1146,1153,1160,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,28,35,43,54,60,72,84,90,96,107,112,125,132,140,151,159,165,178,314,323,333,341,346,357,362,372,385,390,395,403,420,425,435,444,599,605,611,623,630,639,647,656,668,677,684,689,700,705,717,726,735,740,752,759,769,776,784,791,802,813,819,828,839,843,854,859,867,875,889,898,901,913,918,929,938,944,953,963,974,981,993,997,1010,1018,1025,1029,1039,1046,1060,1062,1074,1084,1092,1104,1108,1118,1126,1136,1144,1149,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,25,39,42,55,62,73,84,86,102,106,113,125,135,138,152,154,164,176,317,323,328,335,346,359,367,377,380,391,397,411,417,422,432,442,466,603,612,622,629,640,649,655,668,675,680,690,698,709,714,721,736,746,748,761,771,778,782,796,797,812,817,826,835,842,849,859,871,877,887,894,907,913,917,929,935,945,952,960,972,984,991,999,1009,1015,1027,1028,1039,1045,1062,1069,1075,1084,1094,1100,1106,1116,1128,1130,1144,1147,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,29,41,50,58,60,74,77,86,101,110,116,122,130,141,151,157,162,172,316,321,332,337,351,354,363,373,379,393,401,410,415,427,431,442,598,602,611,621,629,637,649,653,667,675,680,694,696,710,714,726,736,743,750,757,764,775,781,790,801,807,820,823,838,845,855,863,866,877,890,891,899,914,920,929,937,948,954,965,974,978,987,996,1003,1012,1022,1032,1041,1051,1060,1063,1077,1082,1092,1104,1112,1115,1124,1137,1145,1151,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,25,27,38,49,55,67,71,84,86,100,107,111,125,136,141,145,161,165,175,313,325,330,342,345,359,368,370,382,387,396,411,417,428,433,439,456,606,615,624,632,641,646,654,663,672,681,687,697,703,718,724,733,740,752,758,767,775,785,794,799,805,815,828,839,841,850,865,870,874,890,898,907,913,922,926,939,947,951,967,973,981,993,994,1004,1011,1026,1033,1041,1050,1056,1063,1079,1086,1093,1103,1111,1121,1127,1130,1142,1153,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,34,35,43,58,67,71,81,92,95,107,114,126,129,138,151,160,163,170,316,326,329,341,347,353,364,375,383,389,401,409,419,425,436,445,600,607,612,625,628,639,649,656,666,673,680,691,701,706,719,727,734,744,748,758,766,779,782,793,804,806,816,826,837,845,854,861,871,875,885,898,906,913,918,925,939,948,957,960,974,983,988,994,1006,1015,1021,1035,1041,1046,1056,1062,1078,1087,1093,1099,1112,1113,1125,1133,1138,1148,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,26,36,43,57,62,71,80,90,100,108,113,127,131,140,152,162,167,175,317,323,334,339,347,357,365,373,384,392,398,406,413,427,435,442,450,606,615,621,633,637,651,653,661,671,677,694,697,709,716,723,729,743,749,761,766,779,786,790,803,811,822,825,837,845,854,861,867,879,890,899,900,916,919,932,939,950,957,966,971,984,989,995,1008,1014,1019,1035,1036,1047,1060,1063,1078,1079,1088,1099,1105,1120,1127,1135,1146,1152,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,17,26,41,47,58,67,71,84,86,99,108,116,123,129,141,151,160,170,174,313,324,328,343,350,360,362,371,382,386,396,406,416,426,432,439,465,608,612,618,627,640,649,659,668,674,680,688,701,711,714,722,732,744,747,763,770,777,784,795,805,808,816,826,833,844,853,860,869,880,886,892,900,916,920,932,937,943,952,964,975,983,989,1002,1005,1015,1022,1034,1037,1048,1055,1064,1077,1085,1088,1101,1108,1120,1130,1133,1139,1148,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,33,40,45,58,67,74,77,91,101,102,112,122,129,141,150,155,166,172,182,325,329,335,352,356,361,370,381,388,398,410,416,429,433,438,455,603,613,621,631,642,647,659,665,669,683,694,699,710,718,728,731,745,747,756,769,775,782,794,803,810,818,828,832,845,849,861,866,878,885,897,904,912,922,933,940,950,957,967,971,977,985,997,1008,1014,1020,1031,1037,1046,1056,1063,1070,1086,1094,1103,1108,1118,1123,1138,1146,1154,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
4,15,18,29,39,48,56,66,71,78,92,102,108,115,121,129,140,149,158,167,177,317,325,328,343,352,354,363,370,381,387,397,409,414,428,429,440,599,603,614,621,629,641,651,657,664,674,683,690,701,705,712,726,733,745,751,761,765,774,782,791,797,807,820,823,839,846,853,864,869,874,884,896,904,916,923,925,938,943,957,964,973,984,986,998,1007,1011,1026,1029,1039,1045,1057,1062,1077,1083,1090,1102,1108,1117,1129,1137,1141,1152,1164,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,24,25,37,45,53,64,76,79,86,99,108,112,122,134,143,149,161,162,171,316,322,327,335,345,352,366,369,381,394,395,408,414,426,434,442,463,606,616,620,628,641,645,655,663,677,678,690,702,704,718,725,730,740,746,762,763,775,786,791,805,813,820,824,832,845,849,858,870,878,889,899,904,916,922,930,940,946,953,963,976,977,991,996,1003,1011,1027,1036,1040,1049,1054,1066,1074,1087,1088,1103,1109,1114,1130,1133,1142,1152,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,29,34,44,54,64,70,84,93,95,103,116,121,131,141,153,158,166,172,313,320,332,341,345,354,364,377,380,392,400,410,414,424,434,439,465,608,615,618,629,638,646,657,664,674,683,691,695,704,716,723,736,740,747,756,771,773,781,792,802,806,819,828,837,842,856,865,867,877,889,897,905,915,925,926,936,943,956,960,968,980,987,1000,1004,1018,1020,1035,1043,1050,1056,1068,1073,1081,1090,1100,1112,1117,1125,1137,1143,1152,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,25,36,51,52,63,70,81,93,101,105,111,127,133,141,145,156,163,173,315,322,329,337,345,354,362,377,381,393,398,406,420,429,434,445,600,601,610,619,626,642,651,655,661,672,685,687,696,708,717,724,732,742,750,756,766,776,788,790,803,807,818,825,834,844,854,859,866,881,887,898,904,916,923,926,940,944,959,960,971,979,990,999,1007,1013,1026,1035,1041,1045,1060,1062,1072,1085,1088,1098,1104,1121,1129,1134,1146,1155,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,20,26,37,50,57,63,71,78,86,102,108,111,120,134,140,151,162,164,174,181,320,333,341,348,356,361,375,384,392,401,407,420,423,431,440,596,606,616,620,633,635,651,655,668,673,678,693,697,711,713,724,736,742,753,758,767,775,782,791,805,813,821,830,837,844,848,864,865,877,888,893,901,913,922,926,937,944,953,964,975,984,985,999,1010,1015,1021,1031,1040,1046,1058,1062,1075,1081,1089,1103,1110,1120,1126,1132,1144,1151,1156,1172,1177	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,9,20,25,37,46,57,63,75,83,87,101,109,117,128,130,140,152,156,166,176,316,321,331,336,352,360,367,375,384,388,396,411,412,422,436,444,596,605,614,621,633,641,643,658,661,671,681,690,695,710,712,728,729,742,746,754,769,779,784,795,803,808,819,823,839,846,848,861,872,874,888,897,907,908,923,931,937,945,958,964,971,980,985,997,1003,1018,1020,1035,1037,1052,1056,1068,1073,1081,1091,1098,1111,1114,1130,1135,1145,1149,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,33,34,49,54,60,70,77,88,98,110,114,124,128,143,148,157,167,174,314,322,332,336,349,360,361,371,384,390,396,405,419,427,435,445,457,604,616,618,632,643,651,653,667,673,681,688,698,704,719,725,730,743,749,760,765,778,788,790,802,813,816,828,837,844,849,862,873,874,886,896,905,913,918,927,938,947,956,967,974,983,988,995,1010,1018,1027,1033,1040,1045,1058,1067,1073,1081,1092,1104,1106,1117,1121,1133,1144,1149,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,17,25,34,42,59,61,72,80,87,96,103,113,120,133,141,151,158,168,177,317,323,334,337,347,357,369,370,383,390,398,405,415,425,433,439,599,601,609,623,632,639,649,654,665,671,683,690,695,706,720,728,733,738,746,755,768,776,787,793,801,809,815,827,833,845,855,862,866,882,885,892,902,911,925,932,935,946,959,960,974,979,991,1001,1005,1011,1023,1029,1041,1047,1057,1064,1071,1081,1089,1100,1111,1113,1129,1134,1144,1153,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,27,34,46,59,63,70,81,87,93,104,117,123,129,137,146,160,167,176,314,323,330,341,345,354,368,370,381,388,402,408,415,424,434,445,450,603,612,618,629,635,648,658,664,676,679,693,696,705,720,724,731,741,754,762,767,776,785,791,800,813,817,827,835,843,857,859,869,877,884,897,899,909,925,927,936,944,953,967,971,979,990,998,1004,1013,1021,1035,1037,1049,1061,1068,1074,1079,1088,1098,1112,1116,1126,1135,1141,1147,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,33,41,47,57,67,73,82,92,99,106,111,121,135,140,145,155,169,174,316,324,327,342,347,355,367,375,384,394,399,405,413,426,437,443,469,608,616,618,635,642,644,653,663,670,685,686,695,709,719,721,731,745,750,757,768,777,787,789,798,814,817,824,836,842,856,858,866,878,889,896,902,916,921,931,939,949,951,962,968,980,990,998,1003,1012,1025,1029,1043,1045,1061,1068,1077,1086,1090,1104,1110,1121,1125,1134,1140,1150,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,27,42,44,54,63,71,80,86,98,104,113,124,131,141,151,159,167,170,317,323,335,340,347,358,362,372,382,390,395,408,413,425,431,438,462,608,612,624,633,638,649,654,668,675,679,686,695,707,713,725,735,746,753,759,764,777,788,791,804,814,820,828,838,843,855,858,871,874,883,894,908,911,920,926,936,944,953,961,970,983,991,997,1005,1011,1026,1033,1040,1052,1058,1063,1072,1084,1094,1102,1107,1119,1123,1137,1139,1150,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,20,26,38,44,59,64,69,81,88,96,103,116,127,136,139,151,161,164,179,316,326,334,335,348,356,364,376,378,392,396,410,414,424,429,445,598,603,617,624,629,635,646,653,663,676,683,686,695,705,712,723,729,741,750,758,766,774,782,795,802,812,820,829,832,847,854,859,867,877,886,894,905,908,923,929,937,942,955,963,972,983,988,997,1004,1017,1026,1028,1043,1053,1060,1069,1076,1081,1092,1101,1112,1113,1130,1138,1145,1149,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,27,35,45,53,61,69,76,89,101,104,115,126,135,141,149,157,165,174,317,324,328,342,344,358,363,374,386,392,395,407,416,423,435,438,598,602,613,621,631,635,646,659,664,673,684,688,701,703,711,728,732,738,748,759,768,777,784,790,801,810,816,828,838,844,849,863,868,877,886,891,902,912,920,929,937,945,955,962,972,980,992,1001,1008,1015,1021,1030,1037,1050,1060,1066,1075,1079,1091,1098,1106,1119,1129,1132,1140,1155,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,23,33,39,49,53,61,73,81,90,100,102,115,124,135,139,152,159,168,178,315,323,327,341,347,354,362,371,382,388,396,404,419,428,435,442,597,601,617,622,628,637,652,658,666,669,678,690,695,704,713,724,731,745,747,755,766,777,785,792,801,812,822,825,835,846,855,857,865,880,889,892,905,916,923,925,937,945,957,963,972,979,992,998,1009,1018,1025,1036,1037,1048,1057,1066,1071,1081,1093,1102,1112,1115,1123,1133,1139,1154,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,25,28,36,47,59,62,69,84,93,97,109,111,120,128,137,147,155,163,172,316,319,328,339,346,360,363,373,383,393,395,409,415,429,432,443,598,606,613,622,633,638,646,654,661,670,679,688,701,709,716,726,732,744,753,757,764,775,786,793,802,812,820,826,835,843,849,861,870,877,885,893,906,912,918,932,934,951,954,964,972,980,988,999,1006,1011,1022,1034,1041,1051,1058,1065,1077,1084,1088,1100,1106,1114,1127,1132,1140,1151,1163,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,29,38,45,53,68,72,80,85,101,103,112,120,134,140,151,162,169,175,314,319,327,343,349,354,361,373,382,388,399,411,420,427,430,440,598,604,612,624,631,639,644,657,668,670,678,686,701,704,719,727,735,744,747,755,767,773,783,794,802,810,818,828,831,844,851,860,867,875,887,898,904,910,922,930,939,948,953,965,974,981,990,994,1005,1017,1022,1035,1040,1049,1058,1066,1075,1079,1094,1097,1113,1117,1129,1135,1145,1151,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,25,33,42,51,57,67,71,79,87,98,104,115,127,132,138,146,154,163,176,318,319,331,336,352,358,363,373,380,391,396,409,418,423,434,441,596,605,610,622,632,642,648,653,661,669,679,688,695,706,717,721,736,745,746,761,770,774,783,792,804,807,820,824,833,844,855,862,867,879,883,892,906,909,917,927,940,945,959,962,976,977,987,996,1005,1011,1026,1032,1041,1051,1060,1063,1073,1085,1093,1103,1112,1120,1124,1136,1143,1152,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,25,37,44,57,66,71,76,91,100,104,113,124,135,141,153,158,163,176,179,319,331,335,351,354,365,370,384,388,398,407,419,423,436,441,600,603,616,623,631,636,651,652,662,672,685,688,697,704,714,720,736,740,746,760,770,772,783,796,803,814,816,826,831,842,856,857,874,877,890,895,908,911,919,926,936,949,958,961,974,980,991,1001,1002,1014,1027,1033,1041,1045,1054,1069,1079,1083,1088,1102,1105,1116,1126,1138,1142,1147,1156,1170	1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,12,20,31,34,47,54,63,74,82,87,94,109,113,121,132,137,151,160,167,174,188,320,327,335,352,360,362,375,384,388,395,409,415,423,432,438,465,601,609,619,631,641,645,658,661,675,683,692,698,707,717,728,736,740,748,760,766,776,784,797,800,812,815,828,838,843,849,863,871,878,888,891,905,915,917,933,937,946,957,960,968,977,988,1000,1004,1017,1021,1029,1037,1045,1057,1069,1074,1087,1088,1101,1112,1116,1128,1131,1146,1148,1158,1165,1173	1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,21,34,38,42,52,62,74,76,91,100,104,115,123,130,142,145,159,169,174,184,325,328,342,347,359,364,376,383,393,402,404,418,422,435,439,600,602,612,624,627,637,646,656,662,676,682,692,701,708,715,728,729,738,753,756,765,774,780,790,803,810,820,827,831,847,852,863,869,881,886,894,902,915,921,931,936,949,958,967,971,984,985,995,1009,1012,1023,1029,1036,1045,1058,1067,1076,1081,1095,1098,1107,1117,1121,1131,1144,1152,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,14,25,29,39,46,59,63,70,77,89,97,102,116,123,129,143,151,159,163,173,185,325,327,338,351,355,362,373,385,389,402,411,416,422,434,442,597,601,612,622,627,641,644,653,663,676,684,687,701,710,718,720,732,741,753,763,770,772,784,790,798,814,816,831,834,844,850,862,871,877,883,899,905,910,920,925,937,942,951,961,970,977,993,997,1008,1018,1024,1034,1038,1049,1054,1062,1076,1087,1088,1101,1112,1119,1126,1133,1141,1151,1160,1172,1176	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,25,31,41,50,51,65,69,83,85,101,106,111,123,132,142,151,158,164,177,188,322,327,339,347,358,364,371,379,394,399,407,414,427,430,442,468,601,615,625,630,639,645,653,661,676,685,686,699,707,718,728,732,743,753,762,764,775,781,792,801,813,818,824,831,846,856,857,866,881,886,896,907,910,918,927,938,947,955,963,976,979,992,997,1010,1011,1021,1031,1038,1046,1059,1063,1073,1082,1088,1097,1106,1115,1123,1133,1140,1154,1158,1168,1173	1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,18,29,35,49,59,62,73,77,91,101,108,119,125,133,141,147,154,162,173,183,326,330,338,352,356,362,369,379,388,402,404,417,424,430,441,468,605,612,623,630,637,644,656,661,673,677,690,699,710,716,727,729,743,750,757,769,780,786,793,802,813,818,827,834,848,853,857,873,878,883,896,900,909,922,925,934,948,956,960,973,978,991,997,1002,1011,1025,1033,1043,1049,1056,1067,1077,1084,1091,1097,1110,1115,1122,1137,1143,1154,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,23,27,35,47,57,61,76,84,92,97,107,115,123,130,142,149,159,167,175,183,320,333,342,348,353,364,374,381,392,403,405,417,428,436,437,449,602,613,625,629,640,651,652,662,672,680,693,702,709,713,723,734,739,748,759,769,775,788,791,804,806,816,827,837,841,849,860,868,877,883,894,907,908,921,930,934,946,957,960,976,984,990,998,1002,1017,1027,1036,1042,1046,1059,1064,1078,1081,1089,1097,1107,1120,1122,1138,1147,1148,1157,1167,1175	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
1,14,21,31,35,45,52,67,71,77,87,95,108,118,122,128,143,149,156,163,176,186,324,334,343,351,360,363,374,382,394,402,405,413,421,430,438,450,608,610,623,632,637,650,653,663,675,685,691,695,708,720,722,732,739,747,758,764,774,781,793,805,814,821,823,839,846,856,861,867,882,884,897,905,911,924,930,936,948,952,960,971,981,986,996,1009,1012,1026,1030,1039,1047,1056,1065,1071,1080,1090,1103,1110,1120,1128,1138,1146,1148,1156,1170,1176	1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,20,30,41,49,53,61,71,82,88,94,106,111,120,135,137,148,157,162,171,314,319,333,341,348,359,364,375,382,388,395,405,414,428,429,440,466,609,616,619,627,643,647,659,668,669,678,691,698,704,720,721,736,738,753,760,771,774,784,795,803,808,817,825,836,841,854,864,873,876,887,892,902,913,922,925,934,949,951,961,969,976,986,997,1009,1018,1025,1028,1043,1049,1057,1069,1076,1084,1095,1100,1105,1120,1122,1137,1140,1151,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,31,36,47,55,67,72,79,92,101,108,119,123,134,142,153,154,169,174,189,318,327,341,344,353,369,373,385,389,398,411,418,426,435,443,598,604,609,625,634,639,644,652,666,671,681,691,699,707,713,723,729,738,754,756,767,778,782,796,803,808,819,826,834,844,856,860,868,879,889,896,906,910,923,931,938,943,955,964,971,981,988,995,1010,1014,1026,1030,1038,1046,1054,1064,1070,1080,1093,1096,1110,1120,1129,1136,1141,1147,1160,1170	1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,25,29,34,50,55,64,73,80,87,94,107,115,125,135,140,152,160,164,176,179,323,329,341,346,356,369,375,380,387,402,411,417,425,429,442,456,608,615,625,633,637,648,658,665,670,682,690,698,703,720,723,735,740,752,758,764,777,785,797,798,813,821,831,835,846,851,858,867,880,883,894,902,916,918,933,936,943,959,963,968,977,993,1000,1008,1011,1026,1031,1043,1049,1054,1066,1078,1087,1088,1102,1110,1120,1122,1131,1141,1155,1157,1165,1176	1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,20,26,41,44,52,64,72,84,86,95,110,113,122,130,138,153,161,168,173,180,319,328,336,346,353,362,371,382,391,398,406,417,422,434,441,461,605,613,621,634,636,649,657,661,669,679,691,701,710,716,723,731,743,749,759,766,775,780,791,803,811,815,830,832,844,856,865,874,880,884,891,900,916,918,925,941,948,953,963,975,982,987,998,1008,1016,1023,1031,1040,1046,1053,1063,1072,1087,1091,1100,1112,1114,1129,1138,1140,1151,1162,1168,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
4,13,22,33,36,43,57,61,72,78,88,100,107,115,121,128,140,152,156,168,176,185,320,329,337,351,360,361,373,385,392,400,409,413,427,431,443,455,609,611,619,627,642,647,657,664,669,681,693,697,708,717,724,735,743,751,760,766,774,783,789,804,812,822,823,839,846,857,864,870,877,890,894,900,915,922,931,938,946,953,967,973,979,989,994,1010,1011,1025,1032,1043,1051,1060,1063,1074,1084,1094,1097,1110,1116,1128,1132,1139,1154,1157,1166,1174	1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,8,17,27,38,42,58,61,75,77,87,99,107,116,126,130,138,152,156,164,177,182,319,328,339,351,356,364,375,378,388,397,404,417,425,434,439,596,605,611,625,633,636,648,653,663,673,681,692,700,704,716,722,729,744,750,761,765,779,786,789,805,807,820,824,834,841,856,860,872,882,889,895,906,910,922,930,939,948,955,965,976,983,988,996,1004,1018,1024,1032,1041,1047,1060,1063,1072,1079,1095,1102,1104,1116,1129,1130,1140,1148,1163,1165,1178	1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
2,12,20,31,41,49,52,66,69,79,88,94,102,112,124,134,137,150,154,166,177,187,319,333,342,349,356,361,373,380,388,399,410,412,423,437,444,599,601,615,621,627,641,648,655,668,674,683,688,695,709,714,722,734,742,748,761,768,772,785,793,801,812,816,824,838,844,852,862,868,879,884,895,901,910,922,930,937,942,953,962,968,984,992,994,1010,1016,1022,1030,1040,1047,1054,1067,1073,1081,1094,1100,1106,1121,1126,1131,1145,1148,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
3,12,21,33,41,50,54,64,71,85,86,101,107,114,120,133,140,153,158,169,177,313,319,330,340,347,353,361,372,379,393,402,410,418,420,437,443,596,605,617,621,634,638,645,653,664,670,681,687,698,704,712,723,736,741,748,755,768,775,783,790,802,806,817,829,837,846,856,861,867,879,891,893,907,914,917,925,941,947,953,964,974,982,991,1001,1007,1014,1019,1032,1044,1050,1056,1069,1076,1083,1095,1102,1111,1117,1126,1132,1141,1147,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,31,39,45,56,65,71,77,89,97,109,114,125,128,139,150,155,167,171,317,320,330,337,349,359,365,373,380,394,396,408,416,423,429,441,597,604,616,618,629,637,649,654,666,669,681,690,696,711,712,724,729,745,751,761,769,773,784,789,799,809,816,826,836,847,848,857,871,877,885,898,907,911,920,929,936,950,952,966,975,980,989,1001,1006,1019,1022,1032,1039,1046,1059,1064,1078,1080,1090,1097,1110,1116,1126,1134,1145,1152,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,24,30,41,50,53,61,75,78,92,96,105,112,125,128,143,150,161,169,176,315,319,334,343,345,352,367,371,379,386,403,408,419,421,433,445,454,608,611,624,628,642,650,655,666,675,684,689,695,711,712,726,729,740,746,760,771,774,781,792,802,808,822,824,837,841,851,860,872,877,884,897,906,913,918,931,939,946,958,965,974,984,987,1001,1009,1016,1025,1034,1038,1047,1055,1069,1078,1081,1094,1104,1107,1118,1130,1133,1145,1148,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,18,32,35,46,53,62,76,85,87,96,110,113,120,132,144,153,159,162,172,317,318,332,340,351,357,368,376,385,389,396,411,419,425,436,438,597,608,612,622,632,642,649,657,664,675,679,690,694,705,717,726,731,744,748,762,767,779,782,793,802,812,819,826,839,846,848,863,871,877,883,894,905,909,923,930,940,949,952,966,970,977,993,1001,1003,1012,1019,1032,1044,1053,1060,1066,1076,1087,1095,1096,1105,1119,1127,1135,1147,1148,1162,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,30,40,49,51,64,74,81,91,99,108,117,121,133,137,151,160,168,171,318,319,331,341,350,355,368,371,378,389,396,407,417,424,434,441,448,604,617,625,632,639,644,653,663,674,684,689,702,707,717,722,736,740,748,759,766,776,786,793,804,813,817,828,834,844,852,865,869,881,887,892,904,914,923,931,941,946,957,965,974,982,985,995,1007,1015,1021,1030,1039,1046,1055,1067,1076,1081,1091,1099,1109,1118,1125,1138,1144,1150,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,24,32,39,46,59,61,75,83,89,98,102,111,126,136,141,145,159,170,175,313,319,330,342,347,355,363,375,382,387,395,408,417,428,429,445,454,606,617,622,628,638,647,653,662,673,682,688,702,703,718,728,732,737,752,762,765,774,782,796,803,810,816,830,834,848,852,859,865,877,884,895,904,911,924,926,942,944,954,962,974,981,992,995,1005,1016,1024,1034,1043,1052,1058,1067,1072,1084,1089,1102,1107,1113,1128,1134,1140,1151,1161,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,31,36,49,53,65,76,84,93,98,109,118,120,134,142,152,161,162,177,315,323,328,342,350,360,366,375,380,391,402,404,415,424,430,440,453,607,613,619,627,639,644,654,662,671,677,693,699,708,715,720,732,739,748,756,764,771,787,796,799,811,816,827,838,847,850,860,866,880,883,893,902,914,922,933,942,949,955,960,976,982,988,994,1010,1012,1021,1031,1039,1047,1059,1069,1073,1087,1090,1100,1113,1115,1130,1138,1145,1148,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,27,39,47,53,67,73,80,91,95,105,115,127,134,138,150,154,168,174,313,324,331,336,349,354,367,378,379,389,396,404,416,425,431,438,599,607,617,618,628,640,644,658,669,675,680,689,698,709,713,721,732,743,750,756,769,772,787,794,803,808,818,829,838,844,852,860,866,876,890,897,904,916,922,926,941,949,955,963,970,978,989,998,1008,1010,1021,1032,1039,1048,1056,1063,1078,1085,1091,1100,1109,1120,1128,1138,1139,1156,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,27,36,44,58,64,75,78,90,98,106,113,124,128,142,152,158,168,175,187,320,327,336,349,356,365,373,382,387,397,408,412,420,431,445,468,609,610,626,633,638,643,657,662,674,686,693,697,703,718,724,735,740,746,758,769,779,788,793,801,806,817,830,837,847,853,858,870,879,886,894,901,914,919,925,938,948,957,959,974,980,989,998,1010,1017,1020,1032,1044,1048,1057,1063,1078,1080,1090,1097,1111,1115,1126,1135,1142,1151,1160,1172,1178	0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,13,24,30,36,49,55,60,73,81,85,93,105,111,124,128,136,149,155,163,177,317,325,328,338,348,359,364,373,379,389,401,406,414,423,437,441,447,601,613,619,628,643,651,659,664,674,684,690,697,707,714,720,731,745,748,756,764,774,786,795,800,809,817,828,831,848,851,859,866,879,885,894,904,911,922,925,937,943,957,960,970,979,987,997,1003,1018,1026,1031,1041,1051,1054,1069,1076,1080,1094,1098,1112,1121,1124,1131,1140,1150,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,28,39,43,58,67,72,84,87,99,105,114,123,129,144,151,157,166,178,313,319,329,337,349,354,363,374,379,394,402,411,413,425,429,443,457,606,611,624,627,635,651,659,668,677,684,686,699,706,720,727,731,744,747,762,768,772,781,788,803,813,817,830,838,843,856,862,869,880,887,894,900,916,920,929,940,947,955,963,973,983,990,997,1004,1012,1021,1029,1044,1049,1060,1066,1074,1085,1095,1103,1106,1114,1124,1134,1143,1148,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,29,37,47,55,66,74,79,88,102,109,115,121,134,138,150,158,167,177,317,323,334,342,348,355,365,377,380,393,398,411,412,424,433,438,454,604,609,625,627,643,647,659,667,674,686,688,696,705,714,723,736,741,751,757,765,774,785,790,804,812,821,826,838,840,855,864,867,877,886,892,906,908,922,933,941,950,955,965,972,976,991,1001,1009,1011,1020,1030,1042,1049,1060,1064,1075,1083,1088,1101,1112,1118,1130,1137,1145,1147,1162,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,24,28,37,50,52,61,75,81,90,97,108,114,123,135,136,146,159,162,171,313,324,335,343,347,358,369,372,382,391,400,408,418,427,430,442,467,605,613,619,633,638,649,652,665,674,683,689,699,709,715,724,736,738,748,760,767,773,784,794,803,807,815,830,835,848,853,859,871,878,887,896,906,909,918,932,937,943,953,965,976,985,993,1001,1002,1012,1024,1034,1036,1050,1059,1069,1071,1083,1091,1097,1110,1121,1126,1133,1142,1155,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,32,36,43,54,59,71,80,86,96,108,112,124,129,142,147,154,164,173,182,321,327,337,350,355,366,376,383,392,402,409,419,424,432,439,597,603,611,625,629,636,648,655,664,672,678,691,696,707,712,721,729,739,753,758,769,776,785,792,801,813,822,828,839,846,853,861,870,880,887,895,900,913,921,932,939,944,959,962,973,981,987,998,1008,1011,1020,1030,1042,1051,1058,1066,1078,1083,1088,1097,1110,1115,1122,1135,1142,1147,1158,1167	0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,13,23,26,35,43,54,60,73,77,87,97,107,117,120,132,141,145,158,164,174,316,320,334,340,348,354,368,374,378,386,398,405,419,428,431,442,597,603,611,621,630,637,649,654,663,670,679,690,701,709,712,728,732,743,747,762,766,773,783,790,798,808,818,829,831,846,856,860,866,880,888,892,902,908,923,927,938,950,955,964,971,982,990,994,1010,1013,1026,1034,1040,1047,1056,1070,1073,1083,1091,1099,1111,1119,1124,1135,1145,1152,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,29,40,47,52,65,69,77,91,100,108,115,126,130,140,145,159,163,174,317,323,331,340,346,354,364,369,382,390,401,403,417,425,432,443,449,605,611,618,627,641,646,659,665,670,682,693,698,704,717,721,736,745,747,762,765,776,788,791,804,812,817,823,833,843,851,862,866,879,888,895,906,909,922,932,934,946,952,966,975,977,985,996,1009,1017,1021,1029,1041,1045,1061,1063,1076,1087,1093,1102,1105,1118,1123,1132,1142,1148,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,26,40,50,56,61,74,79,89,99,109,117,122,135,137,145,154,166,171,317,324,331,336,349,355,363,371,378,389,398,404,418,421,437,442,596,602,612,623,633,637,647,654,662,676,681,694,701,708,717,722,736,745,751,759,764,776,781,795,802,813,814,826,838,846,852,861,873,879,884,899,903,910,923,928,938,943,953,966,975,983,987,994,1002,1018,1024,1031,1043,1049,1060,1062,1072,1080,1095,1101,1111,1120,1130,1137,1146,1147,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,32,34,49,56,63,68,84,86,100,107,113,125,132,143,146,156,168,175,315,320,333,339,351,355,363,370,385,391,403,405,416,425,436,439,599,604,611,624,634,638,644,660,665,670,682,691,699,711,715,724,734,739,746,756,767,776,788,790,797,812,821,828,833,842,852,864,866,880,886,891,901,914,922,928,936,947,959,965,972,979,987,1001,1010,1018,1019,1032,1042,1050,1055,1067,1073,1084,1092,1096,1110,1114,1124,1138,1141,1150,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,24,29,40,46,59,67,76,79,93,100,103,115,126,134,142,148,155,170,171,318,325,327,339,349,355,367,372,380,389,402,406,416,427,437,443,600,607,611,619,629,638,643,652,662,672,680,686,695,710,713,727,735,742,754,757,765,777,786,794,799,811,821,829,835,847,855,859,873,876,890,899,907,913,924,933,941,950,955,966,969,979,987,997,1006,1014,1024,1034,1038,1053,1057,1066,1077,1086,1089,1104,1108,1113,1130,1135,1140,1147,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,32,41,50,55,60,75,79,89,100,104,111,120,131,139,145,159,162,175,314,324,329,335,351,358,362,377,386,389,398,410,416,422,433,438,453,608,611,623,633,641,647,660,666,670,677,693,698,708,714,721,731,740,748,762,767,778,783,791,805,808,819,827,836,841,854,860,871,880,889,892,908,915,923,930,937,944,956,964,970,981,990,994,1005,1011,1021,1031,1040,1051,1054,1062,1076,1081,1093,1100,1111,1114,1123,1132,1142,1154,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,27,42,46,54,60,71,80,92,100,103,117,125,134,141,146,160,164,171,318,325,333,343,344,355,362,369,383,392,400,411,418,425,433,442,600,607,617,625,633,638,649,655,662,673,678,689,699,707,720,726,733,743,749,756,769,772,786,795,805,806,819,824,835,843,855,864,872,881,884,897,906,910,919,933,936,947,954,967,971,980,987,998,1006,1015,1023,1029,1036,1045,1061,1069,1073,1081,1093,1098,1110,1113,1130,1137,1142,1152,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,26,36,48,52,62,75,82,87,95,102,114,127,134,138,151,158,163,172,313,321,329,341,347,355,361,370,378,393,395,407,413,425,435,440,463,603,610,620,630,640,646,655,665,677,683,690,701,707,718,724,734,738,753,760,767,772,785,796,803,810,816,826,835,847,857,860,872,874,887,896,905,911,924,928,942,949,955,966,971,978,992,998,1009,1015,1023,1035,1042,1046,1060,1063,1070,1079,1095,1104,1110,1120,1129,1132,1141,1153,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,24,32,36,43,55,65,74,79,93,94,102,114,122,128,140,149,157,163,173,317,325,331,339,345,353,362,371,384,386,401,410,418,422,434,440,597,603,615,625,629,641,649,654,667,673,684,691,696,707,713,725,732,739,751,761,765,778,784,791,800,807,818,827,834,845,856,857,872,881,889,893,908,913,922,929,942,945,958,966,969,981,992,995,1007,1015,1023,1031,1044,1050,1061,1065,1079,1080,1095,1101,1110,1116,1126,1137,1145,1150,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,31,37,47,53,61,73,82,86,94,108,115,123,135,138,146,159,166,179,316,319,330,339,347,354,364,376,382,389,402,406,416,428,436,439,463,608,610,623,626,640,650,660,666,673,677,693,696,711,714,725,737,740,750,758,763,777,784,792,805,813,814,828,835,844,855,859,871,875,890,895,900,909,920,928,941,945,957,962,975,978,992,998,1005,1018,1027,1033,1042,1046,1061,1066,1075,1081,1096,1097,1111,1118,1129,1138,1147,1150,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,26,36,47,58,64,69,81,89,98,110,114,123,131,139,149,161,163,176,315,324,334,338,350,353,366,375,385,395,400,407,418,422,435,442,599,607,613,625,629,641,651,659,661,671,683,687,695,708,715,722,734,737,748,759,766,774,784,797,802,807,822,831,836,843,850,857,868,874,883,894,902,912,918,932,935,950,952,960,971,984,990,996,1004,1011,1022,1036,1038,1050,1054,1068,1074,1086,1094,1100,1111,1119,1129,1130,1141,1148,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,25,29,34,49,51,61,69,83,90,98,104,118,125,133,142,150,161,165,175,313,318,334,339,344,354,364,375,384,387,396,408,415,425,437,440,468,608,616,625,632,641,648,659,668,671,679,690,696,711,717,724,737,744,751,760,770,772,783,794,801,807,819,831,833,848,851,862,867,882,884,892,903,913,920,929,940,946,952,960,975,980,991,999,1002,1013,1021,1034,1041,1047,1059,1069,1074,1079,1089,1097,1106,1117,1125,1138,1142,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,31,39,50,58,63,71,82,90,97,105,114,121,136,138,150,156,162,176,184,321,334,335,351,356,362,373,383,387,402,408,419,428,434,446,454,601,614,619,632,642,646,654,666,677,682,688,695,705,719,725,733,742,747,762,770,772,780,790,800,809,816,829,837,840,856,860,870,880,890,899,905,908,921,930,937,948,952,962,973,977,986,996,1005,1018,1021,1036,1040,1045,1054,1063,1075,1082,1094,1099,1112,1116,1122,1136,1142,1153,1164,1168,1177	1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,13,19,29,38,45,53,66,70,76,90,94,106,113,124,133,138,147,160,168,172,182,326,334,336,345,358,361,377,379,392,403,410,414,425,436,438,598,602,613,620,634,635,646,654,668,676,683,692,701,708,719,728,736,739,747,760,766,780,782,790,799,811,822,826,837,845,850,858,870,876,887,893,904,912,919,933,935,947,953,963,969,981,992,998,1004,1014,1022,1032,1037,1048,1061,1069,1070,1085,1095,1099,1107,1117,1126,1131,1139,1152,1163,1170,1173	1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,25,30,35,49,57,61,72,76,90,102,104,111,120,132,141,152,153,169,174,181,324,331,341,349,357,367,373,385,393,396,404,414,428,432,443,447,602,616,624,626,641,644,654,665,669,682,691,702,710,712,724,731,739,748,760,764,774,780,793,802,806,821,825,839,840,852,865,873,881,891,896,901,914,918,928,940,951,957,967,972,977,985,998,1006,1011,1019,1033,1042,1049,1059,1065,1077,1084,1092,1103,1112,1118,1122,1132,1141,1152,1158,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
2,15,23,33,35,47,58,64,75,76,91,98,109,115,120,131,143,149,158,170,178,180,326,333,342,345,357,365,375,382,390,398,411,414,420,436,438,448,608,617,624,631,639,644,660,661,674,683,694,699,705,716,725,737,741,751,755,769,779,784,793,805,812,822,829,832,846,853,862,869,879,884,898,901,915,920,932,935,943,958,966,973,985,993,995,1002,1014,1022,1031,1044,1047,1059,1068,1077,1082,1095,1099,1105,1119,1124,1138,1144,1148,1156,1165,1176	0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,17,29,40,45,53,63,72,84,93,97,109,119,123,128,136,145,154,169,173,187,324,331,341,349,358,365,377,378,394,400,407,416,427,429,441,462,608,616,624,627,638,650,657,665,676,680,687,701,708,718,723,729,740,747,756,763,776,781,789,800,811,816,823,831,842,851,863,869,881,883,893,899,912,924,932,939,949,956,960,969,980,990,999,1006,1016,1021,1029,1044,1045,1057,1068,1074,1085,1091,1096,1109,1115,1124,1132,1142,1151,1156,1168,1175	1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,18,30,40,50,55,63,70,77,85,98,110,115,127,132,138,152,159,166,171,184,324,328,338,347,358,362,372,384,392,400,403,419,426,435,444,596,604,609,619,633,643,650,656,663,673,679,694,695,711,715,726,729,739,748,760,771,778,784,789,803,812,821,825,839,844,855,864,869,880,888,894,900,909,917,927,937,942,953,965,973,982,989,999,1003,1016,1023,1035,1041,1051,1056,1067,1072,1086,1093,1096,1112,1118,1126,1137,1143,1150,1161,1168,1175	1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,15,20,28,35,44,54,64,72,82,93,100,105,111,126,128,137,146,154,168,170,183,326,330,336,345,359,362,373,386,387,396,405,417,425,436,442,596,607,611,620,629,640,643,653,665,677,684,688,698,706,716,721,733,745,751,758,763,773,785,791,800,814,818,823,831,844,849,864,867,882,887,893,901,908,923,926,936,947,958,964,975,983,990,993,1004,1019,1024,1036,1039,1049,1060,1064,1071,1083,1094,1099,1110,1117,1130,1134,1145,1148,1158,1167,1174	1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,14,17,29,41,46,58,61,75,78,92,95,103,115,122,132,143,151,160,166,171,188,322,331,341,346,360,366,374,378,388,399,412,416,427,434,444,598,603,614,618,628,637,644,656,665,670,680,692,695,711,713,723,735,742,748,760,768,776,781,789,802,806,815,825,832,841,851,861,873,877,883,895,905,909,920,929,935,950,952,960,974,981,986,997,1008,1017,1024,1035,1040,1046,1055,1065,1074,1082,1094,1102,1112,1119,1127,1135,1139,1151,1157,1172,1173	1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,11,23,33,39,48,58,61,75,77,86,96,107,115,127,128,142,145,159,166,174,316,318,328,337,348,355,365,375,380,389,396,410,415,428,435,442,599,601,613,620,631,640,646,652,662,676,678,691,702,704,719,727,731,745,749,758,765,773,785,792,800,810,817,824,836,843,848,857,870,874,888,894,905,913,923,928,936,948,956,960,969,978,991,997,1008,1011,1021,1035,1037,1048,1059,1065,1075,1081,1095,1102,1112,1117,1124,1131,1142,1151,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,30,41,47,58,67,71,80,90,97,108,116,120,129,143,150,157,166,174,180,326,330,339,346,355,369,376,386,389,398,406,419,421,435,438,466,605,611,624,630,639,651,656,662,673,682,687,695,709,716,728,731,744,746,756,765,779,787,792,805,807,818,830,833,843,849,864,869,875,888,891,900,915,923,932,940,950,958,965,971,982,987,1001,1010,1013,1025,1031,1043,1047,1059,1065,1072,1079,1093,1098,1105,1118,1124,1134,1144,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,24,28,41,47,56,67,75,79,93,102,110,114,127,130,140,145,156,168,178,181,321,334,336,348,359,361,374,384,394,397,411,413,424,436,440,451,601,610,620,627,635,650,657,667,674,683,689,702,707,714,728,732,737,750,754,771,774,783,792,798,809,819,826,839,842,850,863,872,875,887,891,900,914,925,929,934,945,952,965,971,977,991,994,1005,1011,1026,1029,1044,1052,1060,1062,1073,1087,1092,1101,1109,1115,1130,1133,1140,1151,1160,1165,1176	0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,10,18,30,40,45,57,62,71,84,90,97,104,111,127,136,142,151,161,168,175,187,322,331,341,351,357,368,372,382,386,395,405,412,422,429,445,468,602,611,622,631,642,648,658,668,669,682,692,702,704,716,727,733,739,753,757,766,778,787,794,802,809,818,830,835,841,856,863,866,881,884,898,907,910,919,931,939,942,954,965,973,981,991,995,1003,1012,1024,1033,1039,1047,1057,1067,1074,1082,1091,1102,1107,1118,1129,1133,1146,1154,1161,1172	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,9,19,30,39,49,55,61,71,81,91,98,107,111,127,129,144,149,155,164,176,188,325,327,341,352,357,363,370,385,388,396,410,414,421,437,444,453,607,611,620,630,640,645,658,667,674,678,688,702,711,717,728,732,743,753,755,770,773,784,790,798,810,822,827,835,840,849,864,866,879,884,896,907,915,922,933,937,945,952,962,971,982,986,995,1009,1011,1021,1030,1042,1046,1060,1070,1073,1081,1089,1102,1107,1116,1126,1132,1139,1153,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,15,22,27,42,45,54,60,74,84,90,101,110,116,127,136,143,148,157,167,174,179,319,327,338,351,356,366,371,384,389,401,410,413,421,437,441,596,605,610,625,629,635,646,656,664,671,685,689,702,704,714,726,737,744,754,755,771,780,787,789,801,812,821,827,838,844,853,863,868,876,887,895,900,912,924,929,937,942,954,967,969,983,988,996,1008,1012,1022,1032,1043,1045,1054,1063,1072,1084,1090,1097,1108,1115,1130,1135,1146,1152,1158,1164	0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,23,33,39,43,58,65,71,80,88,96,102,113,120,134,145,147,161,164,175,189,319,330,335,345,356,366,373,381,394,400,412,419,423,429,441,598,604,617,625,629,643,650,655,665,672,683,694,700,704,714,720,735,739,748,761,765,777,784,797,800,813,817,829,833,842,853,857,870,881,883,891,905,911,925,930,939,945,954,962,973,977,989,994,1002,1011,1019,1030,1044,1052,1059,1063,1073,1086,1092,1103,1107,1121,1123,1134,1140,1153,1160,1167	0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,18,26,39,46,52,64,70,83,92,95,109,111,124,135,140,146,156,170,178,315,323,330,339,348,356,362,375,384,389,397,412,415,427,431,445,598,607,611,624,628,637,646,657,664,669,682,692,701,711,716,727,736,745,753,756,769,775,784,793,805,813,814,823,832,845,855,859,869,882,885,895,907,915,919,930,935,946,951,964,976,984,989,997,1007,1017,1020,1035,1040,1051,1058,1067,1072,1084,1092,1103,1106,1117,1122,1131,1142,1152,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,30,34,47,54,62,73,84,93,94,107,117,124,131,144,147,157,164,173,316,322,327,340,346,358,366,373,382,390,401,409,419,424,431,440,455,608,612,625,632,636,650,658,668,675,679,692,697,711,719,721,734,744,754,755,764,772,787,790,803,813,820,830,833,843,848,865,872,874,883,892,902,912,919,925,941,946,954,961,973,983,991,994,1009,1017,1020,1030,1041,1051,1060,1067,1074,1083,1093,1101,1109,1114,1130,1137,1143,1151,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,32,39,45,52,64,73,82,87,96,109,115,123,129,143,149,158,167,173,317,322,332,342,350,356,363,370,381,392,397,409,416,422,432,441,600,602,612,625,629,636,650,655,667,669,683,692,702,706,717,728,733,745,752,758,769,779,782,790,802,814,819,824,835,843,852,863,869,876,889,899,900,908,920,928,941,948,957,966,970,979,993,1001,1009,1018,1024,1028,1038,1050,1055,1069,1078,1083,1093,1097,1106,1115,1128,1135,1142,1152,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,22,30,38,43,59,63,76,81,89,99,105,112,127,134,144,147,156,170,175,313,324,332,339,346,356,364,374,378,391,400,411,418,428,433,439,458,602,616,625,635,641,650,654,661,670,682,693,699,710,713,724,730,738,749,760,763,776,781,796,798,807,820,829,834,845,855,859,869,881,889,896,900,909,925,931,941,945,957,967,972,984,986,999,1006,1012,1022,1035,1039,1048,1057,1064,1076,1081,1093,1104,1105,1114,1122,1138,1145,1154,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,32,38,43,56,62,69,84,88,96,110,115,121,132,141,152,160,167,170,316,322,329,341,344,352,368,372,381,390,399,405,419,423,429,440,599,603,610,620,629,639,648,653,665,675,684,691,695,705,715,722,737,744,753,754,764,776,787,791,799,807,815,826,832,842,853,857,870,880,888,893,907,915,922,928,935,943,953,961,970,978,991,995,1003,1015,1025,1030,1037,1046,1058,1062,1074,1086,1094,1102,1108,1119,1123,1135,1144,1155,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,20,30,38,44,58,61,69,84,86,94,106,117,124,135,142,152,159,168,178,315,321,334,340,344,359,367,374,378,392,402,403,418,422,429,439,448,609,614,622,628,643,650,656,666,671,683,694,695,706,718,720,732,742,754,761,768,775,780,796,802,808,817,830,832,844,854,864,873,880,883,891,904,910,918,927,938,945,956,960,970,976,992,1000,1004,1019,1021,1033,1039,1051,1058,1070,1075,1083,1096,1103,1112,1121,1130,1135,1147,1148,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,21,27,36,50,56,63,72,81,89,94,105,114,126,133,141,148,154,167,172,317,321,334,338,345,360,367,371,385,395,401,407,416,424,437,440,598,603,614,624,631,641,647,657,668,672,683,693,697,706,712,722,735,740,752,755,763,774,781,794,799,813,820,828,834,842,850,858,871,878,890,893,903,916,920,929,939,943,953,961,973,978,989,996,1004,1012,1019,1030,1040,1049,1059,1067,1070,1081,1091,1102,1112,1116,1123,1132,1145,1154,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,22,30,35,49,58,60,75,79,87,99,110,114,122,131,141,148,160,169,175,314,325,334,337,344,360,369,375,384,391,396,404,419,428,433,444,596,606,614,625,630,636,650,654,662,675,684,692,700,703,716,726,735,737,751,754,769,774,783,793,804,810,821,829,834,847,850,857,869,879,887,892,903,915,918,925,934,950,958,965,971,977,988,1001,1005,1019,1025,1031,1044,1048,1054,1063,1073,1084,1091,1096,1111,1114,1126,1136,1140,1150,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,25,32,39,43,58,68,72,82,87,94,105,112,120,131,143,145,158,168,171,179,322,333,340,350,353,363,375,385,387,400,407,418,422,433,443,599,605,617,624,634,637,647,655,664,675,683,687,702,711,713,723,729,738,748,758,765,778,782,797,803,811,821,825,833,848,849,860,872,880,888,894,904,915,923,928,935,942,951,967,973,980,987,995,1004,1016,1024,1029,1036,1045,1059,1063,1074,1084,1089,1102,1105,1120,1125,1133,1144,1151,1164,1172	0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
6,8,24,30,41,47,59,61,73,82,91,94,107,111,120,133,144,149,156,165,176,316,319,332,336,351,356,368,374,379,390,396,411,415,428,430,439,597,601,617,623,630,637,651,653,668,674,679,690,696,706,714,727,729,745,748,756,771,772,788,793,798,807,814,826,832,843,854,862,869,880,887,894,904,910,924,931,934,947,958,966,971,980,987,1000,1003,1014,1022,1030,1044,1046,1061,1070,1073,1083,1089,1097,1112,1113,1129,1134,1139,1151,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,30,35,43,54,63,72,79,85,97,102,117,124,130,144,150,154,170,178,313,318,327,341,351,359,363,377,383,389,402,404,415,421,436,441,454,602,613,625,633,637,646,653,665,677,685,691,698,711,715,726,731,744,746,757,768,775,782,791,803,806,816,830,834,841,853,864,871,875,887,898,905,911,918,926,936,943,952,960,974,982,987,1002,1008,1018,1025,1034,1041,1050,1060,1062,1075,1087,1095,1103,1110,1119,1122,1131,1140,1153,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,31,42,49,53,68,76,81,92,101,104,114,123,135,140,147,156,163,178,315,326,329,343,351,352,366,371,386,390,400,403,418,423,431,443,447,603,609,618,629,641,644,658,662,670,681,687,698,710,713,722,729,742,747,762,765,774,780,795,803,807,821,830,831,847,852,858,868,882,890,891,903,908,922,926,938,948,952,961,971,983,991,994,1004,1017,1024,1034,1040,1045,1058,1068,1076,1086,1096,1101,1105,1120,1126,1132,1139,1149,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,33,36,48,56,67,72,85,91,98,102,118,120,129,139,153,156,164,173,317,322,330,335,349,352,368,372,383,392,397,405,419,426,435,441,598,609,612,620,630,635,648,658,668,669,680,693,698,710,715,721,729,741,751,762,769,773,782,793,804,813,821,826,839,846,853,865,867,874,889,899,901,910,923,927,934,947,953,967,976,981,990,994,1005,1012,1019,1030,1038,1051,1060,1064,1071,1083,1093,1101,1110,1113,1126,1132,1145,1151,1160,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,26,36,45,59,65,73,84,89,97,110,117,125,130,136,149,159,163,173,183,320,331,339,351,352,364,373,379,390,403,409,418,421,436,438,597,608,617,625,628,640,644,660,663,674,678,693,700,707,713,722,729,739,751,760,771,779,786,791,801,813,821,829,831,843,848,862,868,878,889,893,906,912,924,930,935,947,955,964,975,982,990,994,1008,1018,1023,1028,1040,1048,1059,1068,1075,1083,1089,1102,1111,1119,1127,1136,1147,1148,1156,1171,1173	1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,20,30,34,46,51,68,72,84,93,96,104,112,126,135,138,145,160,169,178,317,319,327,336,350,358,361,377,382,388,395,409,415,427,432,443,448,605,610,619,632,635,651,657,664,674,679,692,695,709,718,728,731,744,747,761,766,780,788,792,802,812,819,829,839,846,856,862,866,875,891,894,900,911,924,927,940,947,957,962,970,981,985,999,1008,1012,1024,1028,1044,1046,1056,1068,1072,1081,1095,1098,1105,1118,1126,1136,1145,1148,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,20,25,40,44,59,64,73,83,92,98,103,116,121,134,141,149,158,166,174,316,318,327,339,349,357,363,375,381,388,395,408,414,427,436,439,452,605,609,624,627,638,645,658,666,674,681,687,703,710,715,720,730,742,748,761,768,779,783,790,803,808,818,827,839,846,851,858,872,879,887,898,903,910,917,927,935,943,954,965,969,978,985,999,1003,1017,1025,1030,1042,1053,1057,1068,1071,1083,1088,1103,1108,1117,1129,1134,1141,1147,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,30,41,48,55,65,76,78,91,100,107,111,123,135,140,148,155,168,172,313,319,329,339,345,359,367,369,384,387,403,410,420,426,431,441,471,608,614,625,630,635,646,655,661,671,680,690,699,704,715,726,735,745,749,761,765,779,788,793,804,806,821,831,835,841,852,864,866,879,888,897,904,909,923,928,935,949,958,961,974,979,992,995,1005,1012,1024,1032,1041,1045,1054,1067,1072,1081,1093,1103,1104,1120,1125,1131,1139,1152,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,24,33,41,48,59,68,71,81,89,101,103,112,122,131,138,152,160,165,170,314,323,329,339,351,357,362,377,382,388,401,408,413,428,436,438,453,604,614,621,628,638,648,656,666,675,681,694,700,708,718,722,731,744,749,758,766,780,788,789,797,808,822,823,832,847,850,864,866,877,888,892,903,908,925,928,939,947,951,965,970,977,988,994,1002,1012,1020,1036,1039,1053,1057,1068,1073,1080,1095,1096,1111,1113,1128,1136,1140,1154,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,33,37,45,53,66,70,81,91,96,104,112,124,129,140,149,155,169,178,314,321,335,343,347,354,368,376,385,391,402,405,416,423,432,444,597,605,616,625,630,639,650,655,668,671,679,694,698,703,720,723,737,744,750,757,771,780,782,795,801,814,815,827,835,843,854,860,874,882,888,896,903,915,917,931,937,949,957,960,973,977,990,997,1008,1011,1024,1029,1044,1048,1054,1063,1071,1083,1088,1104,1111,1116,1122,1135,1141,1150,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,31,39,50,53,61,73,82,90,97,102,116,126,135,143,145,156,165,177,314,321,335,343,351,355,364,372,382,388,395,410,412,422,430,438,466,608,617,623,634,641,644,656,665,672,680,688,697,708,718,721,729,741,747,757,771,773,788,792,799,806,820,829,838,845,855,859,874,880,891,899,903,909,920,931,936,948,956,959,970,978,988,993,1003,1017,1026,1036,1044,1048,1056,1066,1072,1079,1093,1096,1109,1117,1124,1130,1144,1149,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,34,37,45,51,66,74,79,88,99,105,118,119,129,142,148,157,165,173,315,323,333,343,347,355,363,374,384,388,395,408,413,426,429,442,468,607,617,622,628,638,646,659,665,672,679,694,699,705,714,725,736,739,747,756,771,778,788,797,805,807,820,829,837,843,851,858,870,879,884,897,907,910,919,926,935,949,959,966,976,978,990,995,1009,1018,1021,1030,1038,1046,1055,1070,1075,1081,1095,1097,1106,1115,1128,1133,1139,1155,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,22,29,37,50,52,61,68,82,86,101,108,111,125,129,136,147,156,164,172,315,320,331,340,349,359,362,375,382,389,398,405,413,424,434,439,598,604,612,625,634,635,647,658,661,676,683,693,702,711,715,722,734,742,751,759,766,778,785,795,804,809,815,824,836,848,853,863,868,874,886,892,906,914,917,928,936,947,958,967,974,978,986,996,1009,1016,1025,1034,1039,1052,1056,1067,1070,1087,1092,1098,1109,1121,1125,1134,1146,1149,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,25,38,45,52,60,75,77,86,95,103,117,120,129,144,153,159,163,176,315,322,332,342,346,358,368,375,385,392,401,406,420,424,435,443,600,603,615,621,628,641,649,658,664,669,682,692,696,705,716,720,730,743,752,757,770,778,784,793,797,810,818,829,832,840,850,860,866,881,890,897,902,914,917,933,935,946,952,962,976,983,987,995,1003,1018,1027,1028,1039,1053,1058,1064,1075,1080,1088,1103,1108,1114,1123,1137,1141,1154,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,26,34,42,59,64,68,76,89,100,106,112,125,135,141,150,158,162,178,314,322,329,343,350,352,361,371,382,387,402,405,417,428,434,443,599,605,614,626,633,641,650,658,667,670,685,687,698,707,715,721,734,741,748,760,771,777,780,796,803,813,819,827,837,843,854,859,871,877,888,898,906,912,917,930,940,944,957,960,969,980,990,999,1008,1013,1022,1035,1041,1045,1058,1070,1074,1086,1094,1102,1112,1121,1129,1131,1142,1150,1157,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,18,31,36,50,58,67,73,81,85,94,107,119,122,130,142,146,161,165,174,316,318,334,338,344,359,366,373,378,389,396,407,415,425,435,437,596,605,610,623,629,642,645,655,666,669,678,688,695,704,712,721,730,745,753,758,765,773,782,788,799,809,818,827,835,844,854,864,871,879,890,891,903,911,917,927,942,950,951,966,968,978,989,999,1010,1019,1020,1030,1043,1050,1058,1069,1073,1083,1096,1098,1111,1115,1130,1133,1145,1155,1157,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,27,38,49,51,67,72,82,87,101,108,118,123,129,144,148,161,162,177,317,326,331,341,346,353,364,376,381,387,397,407,413,422,434,442,455,608,609,619,633,635,649,660,662,670,680,686,701,709,719,727,734,743,747,758,766,774,785,791,802,814,815,829,839,840,853,858,869,882,888,891,904,909,923,933,938,950,953,965,971,978,990,1001,1010,1015,1027,1035,1037,1051,1058,1068,1071,1086,1095,1103,1110,1121,1127,1132,1146,1149,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,29,38,46,51,67,71,81,90,98,102,119,125,136,141,152,156,163,174,183,324,329,343,344,360,362,371,378,387,400,409,413,422,434,445,599,608,611,620,626,640,643,652,668,676,684,689,698,709,714,722,733,744,751,757,764,777,784,796,800,812,818,824,838,844,856,865,871,880,887,894,908,909,919,931,938,950,956,967,968,981,993,995,1006,1012,1022,1033,1043,1051,1061,1062,1074,1083,1089,1104,1109,1120,1124,1131,1146,1149,1161,1170	0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1
5,16,23,33,35,47,57,66,73,82,92,101,105,115,121,135,144,147,161,170,176,185,325,332,342,349,354,368,372,385,389,399,407,413,422,431,440,599,602,615,620,633,643,646,655,665,677,684,692,698,708,714,728,736,746,750,756,764,775,780,794,799,807,822,828,834,842,857,864,866,876,886,895,904,916,917,927,942,945,954,966,972,983,988,1000,1005,1015,1027,1032,1041,1047,1055,1064,1077,1080,1095,1096,1106,1117,1128,1135,1142,1148,1157,1172	0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,12,20,26,42,51,52,65,75,81,85,98,106,118,126,131,136,151,160,165,171,185,321,328,338,350,359,366,373,379,387,397,407,415,422,432,443,597,608,616,626,633,639,644,657,662,671,684,689,695,708,718,725,734,740,754,761,765,779,784,789,798,814,821,827,834,844,856,858,870,880,884,897,903,911,921,932,940,948,955,963,974,979,993,998,1003,1011,1026,1028,1044,1047,1054,1068,1076,1084,1092,1096,1105,1114,1125,1138,1140,1150,1156,1166,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,11,23,31,37,43,56,66,72,79,93,97,103,118,124,128,143,151,161,169,171,181,318,328,335,351,353,367,371,381,390,399,410,414,424,437,445,452,601,617,618,629,640,646,654,663,671,682,687,702,711,715,721,731,741,746,756,769,774,781,797,799,812,816,828,832,840,855,861,867,874,889,898,901,911,923,930,934,947,956,966,975,980,985,1001,1006,1018,1020,1034,1039,1051,1059,1068,1075,1080,1089,1099,1107,1114,1127,1137,1144,1155,1164,1170,1176	1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,21,30,37,45,53,67,70,85,93,102,106,115,123,132,137,145,155,163,173,191,319,329,337,344,355,361,372,379,391,401,407,414,426,429,438,598,602,613,624,631,638,651,655,665,673,678,691,696,706,716,724,732,743,748,762,770,774,787,789,804,811,819,829,835,840,857,862,868,874,889,894,901,914,922,930,938,944,953,960,974,979,987,1001,1005,1013,1020,1031,1040,1047,1056,1062,1076,1082,1088,1102,1110,1115,1125,1130,1146,1152,1157,1167	1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,13,19,31,39,47,56,59,71,77,89,96,110,111,126,128,139,151,154,170,171,185,323,329,343,349,360,362,373,379,388,403,408,416,426,433,444,456,604,616,619,626,635,652,658,666,673,681,694,702,703,712,722,732,744,748,757,770,777,781,795,804,808,822,827,836,843,850,859,870,874,890,893,902,913,923,928,941,943,951,963,974,980,993,997,1007,1014,1023,1030,1044,1052,1057,1065,1078,1081,1094,1099,1110,1118,1129,1133,1141,1155,1161,1167,1174	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,24,26,35,46,58,62,69,78,87,97,108,112,126,132,143,146,153,166,177,181,322,330,341,350,359,365,375,381,394,400,407,416,425,435,440,599,607,615,625,627,636,648,655,662,676,680,693,697,709,718,722,734,744,749,761,767,773,784,794,801,809,821,829,839,840,852,862,871,874,888,893,904,910,917,930,938,949,952,965,972,981,991,999,1007,1011,1020,1029,1043,1049,1054,1069,1076,1082,1093,1100,1112,1114,1127,1137,1145,1154,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,13,19,25,39,42,56,64,76,79,90,96,109,119,126,130,137,147,161,170,177,199,324,335,341,348,359,369,376,384,392,398,411,416,429,433,446,468,601,610,623,628,643,647,660,665,670,684,692,697,706,715,725,729,738,749,757,766,779,782,793,800,811,822,824,833,841,855,860,870,879,884,898,904,913,921,928,936,948,955,961,968,982,988,1001,1010,1012,1024,1033,1041,1046,1058,1062,1077,1086,1094,1098,1109,1114,1122,1134,1141,1152,1163,1168,1175	0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,18,25,37,49,53,60,73,82,86,98,104,116,126,131,137,147,161,163,177,317,321,331,341,349,354,363,375,380,390,398,411,414,427,436,441,449,606,614,625,632,641,648,653,669,676,680,687,696,706,715,728,736,739,748,755,766,771,781,794,805,809,822,825,834,842,852,858,867,882,889,893,902,911,921,933,935,943,952,966,976,983,987,995,1010,1016,1027,1036,1044,1049,1057,1065,1076,1086,1087,1101,1112,1120,1122,1136,1144,1151,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,22,32,41,49,52,62,74,82,92,95,108,111,121,131,141,150,161,164,174,179,323,331,341,351,358,362,377,382,393,400,409,418,428,437,441,471,603,610,624,628,641,652,656,661,670,680,688,696,710,714,723,732,744,747,758,769,774,787,795,799,813,818,826,837,840,850,857,869,876,889,897,906,908,917,928,941,947,957,962,969,978,987,996,1005,1016,1023,1031,1038,1048,1058,1064,1079,1085,1089,1101,1108,1118,1128,1136,1139,1150,1157,1165,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
4,8,18,27,37,50,58,61,68,83,90,97,104,117,120,130,144,147,161,170,172,200,323,330,340,346,358,362,376,382,388,401,405,414,424,431,443,598,607,611,625,630,640,645,660,664,670,683,693,699,710,713,725,731,741,752,761,765,771,784,790,798,814,821,828,831,843,851,861,869,878,885,893,908,912,922,933,941,949,952,962,968,979,988,998,1009,1016,1027,1035,1039,1049,1061,1068,1071,1085,1093,1102,1106,1113,1127,1136,1143,1155,1156,1166	1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,24,26,35,43,51,65,75,83,92,95,106,114,128,135,143,152,159,169,178,197,322,329,339,344,360,367,374,384,389,401,409,412,421,435,440,598,605,612,619,628,637,646,653,665,674,683,688,699,707,713,722,730,741,747,756,763,779,783,794,805,810,814,828,839,847,854,860,871,881,883,891,906,916,917,931,941,948,952,964,970,980,993,999,1006,1014,1025,1029,1043,1053,1061,1069,1071,1080,1095,1098,1111,1113,1129,1136,1139,1155,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,9,18,26,37,49,58,61,76,81,88,99,104,111,125,133,139,150,153,163,176,185,324,334,338,350,357,366,374,379,392,402,404,413,426,432,441,600,605,613,622,630,637,650,653,667,670,683,690,701,704,717,724,732,738,753,759,764,779,786,791,798,809,817,829,833,846,850,861,870,881,884,891,907,914,923,933,937,950,959,967,968,984,985,1000,1008,1011,1020,1033,1039,1051,1061,1065,1077,1081,1092,1099,1109,1118,1125,1134,1140,1152,1163,1166	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0
1,14,21,26,34,43,53,62,75,81,85,96,105,115,128,131,142,146,161,162,176,191,318,333,337,348,357,365,376,381,393,402,407,417,428,430,439,597,605,617,625,630,642,646,659,667,677,684,691,697,707,713,721,729,743,746,757,767,777,785,792,803,808,815,823,832,842,856,857,869,878,888,897,903,908,924,927,939,950,955,961,970,984,987,998,1009,1018,1021,1029,1043,1052,1056,1064,1078,1085,1093,1096,1107,1117,1129,1135,1146,1155,1160,1168,1174	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,15,24,30,34,50,58,62,69,78,90,99,103,111,127,130,137,153,156,162,174,186,324,334,337,344,359,368,376,383,391,395,410,420,421,435,443,463,608,615,619,629,642,650,657,664,671,682,688,696,708,719,724,733,745,747,758,771,778,786,791,802,806,820,827,832,846,849,860,872,882,884,891,901,908,918,929,935,949,956,960,972,977,985,999,1007,1018,1022,1033,1044,1046,1059,1066,1071,1085,1093,1103,1111,1116,1128,1135,1145,1155,1158,1172	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
3,11,21,30,36,47,51,65,75,77,93,94,106,117,119,133,137,146,154,168,170,314,320,333,341,346,355,365,375,378,393,403,410,420,428,437,441,597,601,616,622,627,638,645,657,662,673,682,687,701,708,712,723,735,745,753,757,765,779,782,796,799,812,820,831,832,843,848,859,874,876,890,898,907,914,922,932,938,947,952,960,968,976,990,995,1006,1013,1024,1035,1040,1045,1056,1065,1070,1081,1095,1102,1111,1114,1126,1137,1139,1151,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,21,25,37,50,53,66,71,80,86,95,106,115,121,128,143,152,154,169,178,317,322,334,343,344,359,362,371,379,389,401,404,415,422,434,439,465,604,614,625,627,638,650,657,660,673,679,690,695,704,719,729,731,741,751,759,766,779,786,796,801,808,822,825,835,847,850,858,871,877,885,893,906,911,919,926,940,946,954,959,975,983,993,996,1009,1016,1025,1035,1041,1049,1055,1066,1076,1082,1095,1103,1111,1114,1126,1136,1147,1154,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,26,39,48,53,64,69,83,90,102,107,119,122,136,141,145,154,163,173,313,325,333,338,351,353,367,374,383,387,397,405,419,425,437,442,460,606,616,619,626,641,645,653,665,677,684,690,697,704,714,720,730,738,752,762,769,776,784,789,803,813,821,831,838,841,854,859,873,881,888,896,905,914,924,932,937,946,956,965,975,981,985,998,1007,1015,1024,1032,1042,1047,1056,1069,1071,1080,1095,1103,1106,1114,1125,1134,1141,1150,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,21,27,35,47,57,66,70,85,93,100,105,115,121,135,142,150,160,163,173,315,325,328,335,351,354,361,377,380,389,397,404,412,426,430,443,598,606,617,618,630,641,650,658,665,676,681,686,695,711,716,728,733,742,751,762,771,779,780,794,800,806,821,829,839,844,849,859,867,875,890,893,904,914,918,927,941,949,956,961,974,981,988,998,1010,1016,1027,1029,1041,1052,1059,1065,1075,1086,1088,1101,1109,1119,1123,1135,1142,1149,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,27,35,47,55,63,73,80,87,101,109,113,122,129,139,147,155,169,171,315,324,334,339,345,354,367,373,384,390,397,410,415,429,434,444,596,604,609,618,631,635,650,657,662,674,680,686,697,708,712,723,730,740,747,754,769,771,781,794,797,810,818,829,834,845,850,861,872,879,889,893,903,911,918,925,937,949,955,963,973,978,991,998,1005,1011,1024,1033,1037,1047,1059,1063,1078,1085,1093,1096,1110,1113,1126,1134,1144,1150,1162,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,27,35,43,59,61,72,76,92,99,103,111,127,134,138,151,159,162,173,317,325,329,337,352,359,366,370,378,394,395,407,417,423,430,442,600,602,613,620,633,640,651,657,667,673,683,687,697,709,716,728,732,743,749,757,769,773,780,792,802,810,822,831,833,846,855,865,867,880,884,892,906,916,924,929,942,948,956,965,974,981,993,998,1007,1017,1027,1035,1040,1049,1061,1066,1072,1084,1092,1101,1105,1117,1125,1136,1139,1151,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,25,33,37,51,53,63,75,78,87,94,109,112,125,128,144,150,153,169,177,315,321,331,337,346,356,361,373,380,391,397,410,412,429,436,439,599,606,613,624,628,638,650,655,667,674,685,688,700,708,715,725,729,744,747,755,771,777,781,789,802,809,815,828,833,846,852,862,869,877,890,898,900,916,921,931,939,942,952,964,972,979,993,1000,1002,1014,1021,1033,1044,1047,1057,1069,1076,1085,1094,1101,1105,1121,1129,1134,1147,1155,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,29,36,47,58,60,71,78,88,100,104,116,126,135,140,149,157,170,171,315,323,333,337,348,354,362,370,384,391,398,411,412,428,431,445,458,602,613,619,634,640,650,659,662,677,678,691,699,703,717,726,731,741,746,754,768,772,781,796,798,806,815,825,837,848,853,863,871,876,882,899,906,908,920,933,941,949,953,959,969,984,990,998,1009,1012,1026,1029,1040,1048,1060,1063,1076,1086,1094,1100,1105,1116,1123,1133,1140,1154,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,28,40,48,57,63,70,84,85,99,106,114,121,133,139,151,160,166,176,193,325,335,341,345,352,361,371,382,393,395,408,417,424,433,444,597,603,616,626,634,638,644,654,662,674,679,691,702,704,719,728,735,738,753,758,768,779,780,792,801,805,819,823,839,845,851,863,866,882,891,897,906,911,919,932,940,944,951,960,972,977,990,996,1004,1017,1023,1030,1041,1045,1055,1070,1072,1086,1091,1096,1105,1117,1124,1133,1140,1148,1160,1172,1174	1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,25,30,35,50,55,68,71,79,92,94,107,119,120,133,143,150,161,170,171,318,326,329,343,348,357,364,375,383,390,397,409,416,427,432,443,456,605,617,621,627,640,647,652,667,673,680,694,698,708,717,722,734,741,750,757,765,772,783,796,799,813,820,825,838,845,852,861,866,882,884,895,906,910,918,928,940,942,951,963,972,977,992,1000,1006,1010,1019,1033,1039,1052,1055,1066,1077,1084,1089,1097,1105,1120,1124,1133,1145,1153,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,32,35,43,56,67,69,79,91,95,109,114,127,128,136,150,158,168,175,313,325,330,335,346,359,369,371,378,388,395,406,414,427,430,445,470,601,614,622,631,641,646,653,667,671,682,694,697,703,715,725,736,738,748,762,766,779,783,794,804,808,816,825,838,840,856,860,871,875,883,891,901,916,920,930,934,948,952,964,975,981,987,1001,1010,1017,1024,1034,1044,1051,1061,1070,1077,1082,1094,1100,1105,1118,1128,1130,1141,1155,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,24,27,39,50,56,60,72,77,89,101,107,117,126,129,139,151,160,163,178,318,319,329,335,351,358,367,369,383,387,396,406,416,421,430,444,596,606,609,624,630,637,650,655,661,672,680,694,696,703,712,722,734,737,746,757,764,773,786,790,800,812,818,825,832,847,855,860,869,877,889,896,908,914,917,930,938,947,953,966,973,978,986,998,1009,1018,1023,1034,1044,1046,1054,1063,1076,1087,1092,1100,1109,1114,1127,1134,1139,1153,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,32,34,48,56,67,69,81,85,96,109,118,122,136,143,148,160,169,173,314,321,333,336,350,353,367,372,386,387,400,407,414,425,432,439,598,603,617,618,633,643,646,657,665,673,680,691,695,703,716,728,734,745,753,758,764,777,780,791,803,806,821,831,833,842,854,862,873,874,887,895,907,913,920,932,941,950,954,965,973,980,989,1001,1003,1013,1026,1034,1041,1045,1057,1063,1078,1079,1094,1097,1107,1119,1121,1133,1139,1154,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,26,36,43,56,65,73,77,88,99,103,117,123,136,137,152,155,169,175,193,325,332,336,348,354,362,374,380,390,400,406,416,422,430,441,600,601,614,623,631,641,645,654,663,675,682,687,698,703,718,724,732,738,754,760,768,776,786,792,799,813,817,823,836,842,850,862,873,882,887,897,906,911,922,925,941,948,953,967,975,983,991,997,1003,1018,1022,1035,1041,1046,1056,1063,1075,1081,1089,1102,1110,1118,1126,1135,1139,1148,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,22,33,38,48,54,60,71,81,93,98,104,115,120,129,138,151,159,168,173,316,324,329,341,344,353,364,370,383,386,402,405,420,423,433,444,597,602,611,625,628,638,644,652,666,676,683,688,699,708,716,720,732,739,746,760,770,773,782,789,804,813,815,831,839,843,855,864,871,882,886,896,906,910,917,933,940,945,958,965,975,979,993,999,1009,1016,1024,1028,1037,1046,1059,1066,1074,1082,1090,1102,1105,1114,1122,1131,1143,1149,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,26,40,49,59,60,69,77,91,94,104,116,124,130,138,147,155,168,171,317,318,329,337,352,355,363,374,381,394,397,405,412,427,437,440,453,601,612,621,630,638,647,653,668,677,685,688,696,705,714,726,735,745,747,756,769,779,786,794,798,812,819,824,832,845,849,858,869,879,885,898,905,909,921,932,934,948,958,966,976,977,992,999,1003,1012,1024,1033,1037,1050,1055,1065,1074,1085,1088,1099,1113,1116,1126,1133,1146,1149,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,27,42,45,51,61,74,80,90,100,111,116,124,136,140,149,159,164,176,315,318,333,342,349,355,368,372,385,389,403,410,414,423,434,444,598,606,611,623,630,640,645,652,663,671,682,690,702,706,714,726,736,739,752,758,769,774,787,795,800,806,815,825,834,842,856,859,869,880,887,895,900,908,921,926,941,950,951,962,968,981,986,999,1010,1016,1020,1030,1040,1051,1061,1068,1074,1082,1096,1100,1109,1119,1125,1132,1139,1149,1163,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,27,39,44,52,60,68,80,86,96,110,112,119,132,145,150,153,162,170,316,322,330,336,346,353,362,369,382,394,400,411,415,426,437,444,596,606,616,620,635,637,646,653,666,669,685,690,700,709,711,725,736,742,748,758,765,776,783,792,798,808,819,825,839,840,852,857,867,882,888,899,905,916,921,929,934,944,956,961,970,982,988,999,1006,1011,1019,1033,1044,1050,1058,1067,1070,1080,1089,1099,1109,1119,1128,1130,1143,1154,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,27,36,43,54,64,70,80,85,100,108,116,123,130,142,150,157,163,174,316,320,330,338,346,359,367,375,386,394,398,410,420,422,432,440,598,607,610,620,627,637,646,658,663,670,682,689,702,703,715,726,733,744,752,757,765,773,781,793,801,812,816,827,839,842,854,859,871,875,883,899,907,910,921,930,934,949,958,967,971,979,986,996,1008,1017,1026,1030,1040,1050,1053,1070,1073,1080,1095,1099,1105,1116,1124,1133,1139,1150,1158,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,31,41,49,58,60,72,84,88,98,110,113,122,132,137,145,159,169,178,315,319,329,336,352,353,362,375,378,388,402,408,412,423,431,438,455,603,611,622,631,637,643,659,665,670,685,688,695,709,712,722,736,745,753,762,771,779,788,794,805,813,814,829,835,844,856,861,872,882,888,898,900,912,921,926,938,947,952,964,973,982,993,999,1008,1016,1023,1028,1039,1050,1058,1067,1076,1086,1095,1099,1110,1117,1130,1138,1144,1155,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,22,32,40,48,58,68,74,79,92,97,107,111,125,128,143,148,159,166,171,314,323,330,339,349,352,366,369,378,394,395,404,414,421,436,441,459,601,613,622,630,643,646,656,662,673,681,686,698,705,714,728,737,745,749,758,767,779,785,791,798,813,814,825,839,846,851,859,874,878,882,895,902,916,920,930,938,949,953,962,976,978,993,997,1004,1016,1024,1029,1036,1048,1056,1070,1072,1087,1090,1103,1108,1121,1125,1136,1143,1148,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,29,34,50,55,61,72,84,91,96,106,117,123,136,140,151,161,165,176,313,318,329,336,345,353,368,375,383,387,396,411,412,428,436,444,466,608,614,622,634,637,648,654,665,670,685,686,700,711,717,725,730,742,747,760,768,779,787,792,805,808,822,823,832,841,849,862,872,876,887,894,902,910,918,927,937,949,954,963,973,984,990,1000,1003,1011,1026,1036,1042,1046,1057,1064,1070,1084,1091,1101,1106,1121,1128,1131,1140,1150,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,17,26,38,42,51,60,69,85,88,99,103,113,120,135,142,150,158,165,170,313,325,333,339,352,359,368,374,378,392,396,410,420,426,434,446,471,604,615,626,633,640,647,656,662,672,682,691,698,706,716,720,731,742,748,758,767,776,788,796,797,810,816,825,834,847,855,865,871,877,887,891,901,910,917,927,941,950,952,966,972,977,986,995,1004,1018,1026,1029,1041,1048,1056,1062,1072,1085,1094,1099,1106,1121,1123,1137,1141,1149,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,28,35,49,52,64,69,83,90,96,104,116,127,135,141,151,157,169,177,313,320,327,342,344,352,361,375,384,391,398,408,417,423,434,438,600,601,612,620,626,635,648,655,661,675,684,692,702,708,718,721,734,740,748,762,764,779,786,795,799,813,821,825,834,844,851,861,872,877,883,894,904,910,925,928,937,946,952,962,976,978,986,995,1009,1018,1026,1028,1039,1049,1056,1065,1072,1087,1093,1099,1109,1117,1127,1133,1143,1148,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,26,36,50,59,61,69,81,92,100,102,116,125,134,144,148,156,162,176,316,318,335,343,350,359,361,376,378,388,402,406,419,428,431,444,597,604,610,619,631,637,647,659,662,673,680,686,696,710,715,725,729,740,747,756,770,774,782,795,800,813,815,827,837,844,854,860,873,874,886,892,905,916,919,931,940,943,956,962,969,984,988,997,1005,1011,1026,1034,1036,1052,1058,1067,1077,1087,1095,1104,1112,1114,1128,1131,1142,1150,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,28,37,46,58,67,71,83,87,97,109,111,125,136,144,147,161,167,178,317,326,330,341,348,355,361,370,378,391,403,407,414,422,436,442,448,606,611,623,628,639,646,654,666,674,679,693,696,705,719,727,731,738,753,760,768,779,786,791,802,809,814,823,832,844,852,858,869,874,885,896,908,915,925,929,939,947,951,962,973,984,989,996,1009,1012,1024,1028,1044,1046,1060,1068,1072,1083,1094,1097,1110,1121,1127,1138,1141,1153,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,29,39,48,52,60,68,82,91,101,104,114,124,133,144,150,157,166,175,199,319,329,339,346,352,362,377,381,392,399,405,418,426,429,442,461,609,614,623,628,640,646,657,663,670,681,691,697,706,711,726,730,745,746,757,769,776,787,795,804,808,819,828,831,840,852,860,872,874,889,895,900,911,921,930,938,949,953,967,968,984,987,995,1002,1013,1023,1028,1044,1053,1061,1066,1072,1080,1087,1103,1105,1115,1129,1136,1142,1154,1156,1169	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,23,32,35,50,52,65,70,78,92,99,102,118,125,135,141,151,159,170,173,188,325,329,338,345,359,366,371,382,386,402,406,417,426,437,443,447,604,611,618,631,640,649,654,668,669,685,691,697,706,719,723,736,741,751,759,771,773,782,789,798,809,817,823,832,842,851,863,869,880,890,899,902,916,920,930,935,949,954,967,968,980,990,997,1006,1014,1023,1034,1038,1049,1059,1066,1073,1086,1093,1102,1104,1117,1127,1134,1147,1148,1161,1166,1175	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,18,32,35,45,58,68,69,78,88,102,110,119,124,136,138,149,158,164,175,195,319,329,339,348,355,368,370,383,392,395,406,413,422,436,442,596,604,616,620,630,635,651,660,668,671,684,692,703,705,712,725,737,741,747,758,766,774,788,794,800,812,818,825,834,847,856,863,867,879,890,897,904,916,923,931,934,946,955,959,976,979,992,995,1002,1019,1023,1032,1042,1052,1057,1067,1076,1080,1091,1099,1105,1113,1128,1130,1146,1148,1164,1168,1173	1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,14,25,33,38,44,52,68,74,78,93,94,102,113,120,134,141,153,156,170,171,186,319,329,338,344,357,369,373,378,394,396,408,413,428,432,447,449,603,610,625,626,637,644,652,668,675,680,687,697,709,719,727,729,744,750,762,767,773,786,797,799,808,818,823,835,843,851,861,866,875,884,899,907,912,918,932,937,950,954,965,974,984,993,995,1010,1017,1020,1032,1044,1046,1054,1067,1071,1083,1094,1100,1112,1118,1125,1131,1147,1151,1156,1168	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,11,24,27,38,50,57,68,69,78,93,95,106,116,122,131,140,145,154,169,178,209,318,333,340,344,353,362,376,384,388,397,408,417,424,434,440,447,603,617,625,632,640,644,658,663,670,679,693,698,708,717,726,729,742,748,761,770,773,782,793,805,809,820,827,837,846,849,857,873,877,889,895,903,913,918,926,934,944,956,962,969,976,993,1001,1005,1013,1022,1028,1043,1051,1053,1063,1072,1085,1089,1097,1108,1117,1123,1132,1142,1154,1162,1168,1174	1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,24,29,40,46,57,66,70,79,86,98,104,113,125,135,139,146,155,162,178,184,324,328,343,344,356,363,372,380,392,396,404,418,424,433,443,451,604,609,620,634,635,650,652,667,671,684,693,702,709,718,723,731,738,753,762,771,772,781,794,798,807,815,824,834,841,852,861,874,881,884,892,900,911,920,929,934,950,956,963,969,980,990,995,1005,1013,1024,1031,1038,1052,1056,1069,1072,1079,1092,1097,1105,1116,1129,1135,1143,1153,1156,1172,1176	1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1
1,16,25,26,41,47,54,67,76,82,92,100,107,111,127,133,141,149,157,166,177,182,323,333,338,344,359,367,370,379,394,397,411,414,427,433,442,447,603,610,622,630,637,648,657,661,669,679,690,696,709,713,726,737,742,753,754,765,772,782,796,801,812,818,827,833,843,852,859,872,878,885,895,907,912,923,929,939,948,953,961,971,982,991,994,1009,1017,1026,1033,1040,1047,1053,1069,1073,1087,1093,1101,1111,1115,1129,1136,1144,1150,1160,1170,1176	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
5,12,21,28,35,49,56,63,75,83,90,95,110,111,123,136,140,145,157,168,171,182,324,335,339,347,360,364,371,382,392,398,404,417,425,435,439,599,608,611,620,627,640,651,659,668,672,681,689,700,709,713,723,736,738,753,760,767,777,783,796,801,807,821,826,838,844,851,865,870,881,882,898,903,915,920,930,936,943,958,967,975,980,990,995,1004,1016,1020,1034,1037,1049,1062,1064,1073,1086,1087,1099,1108,1115,1124,1136,1141,1152,1160,1167	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0
5,11,18,28,35,47,54,63,75,81,90,101,104,114,125,134,137,150,159,168,175,315,325,329,340,352,353,368,377,384,394,397,406,417,422,436,444,599,604,612,624,630,639,650,653,667,675,683,692,698,707,716,727,730,741,751,759,764,771,781,796,798,814,815,824,836,844,856,864,872,876,888,897,905,909,923,931,939,944,954,960,973,978,989,994,1004,1017,1024,1035,1043,1051,1056,1066,1077,1083,1090,1100,1113,1116,1128,1133,1139,1149,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,19,30,36,47,56,65,71,81,88,97,105,113,121,134,142,146,154,163,174,181,326,327,337,346,360,363,372,378,393,398,404,419,424,437,446,600,609,614,622,626,641,645,655,666,676,685,692,701,708,719,721,733,738,746,756,764,779,782,794,801,814,820,824,836,846,855,863,868,878,886,899,904,909,921,928,941,945,954,966,968,979,992,998,1006,1015,1024,1036,1040,1045,1057,1068,1076,1086,1091,1101,1107,1121,1128,1135,1141,1148,1156,1172	1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,26,40,45,55,66,68,82,91,100,108,114,123,130,138,147,157,164,175,183,322,333,338,346,357,363,374,380,390,395,408,419,423,431,442,599,602,614,620,626,640,651,652,668,669,682,687,698,711,713,724,729,741,752,758,765,776,786,796,800,809,821,825,837,848,853,861,866,876,884,894,905,911,921,933,936,945,953,961,972,982,986,995,1004,1013,1024,1029,1037,1045,1058,1064,1078,1079,1095,1097,1107,1119,1128,1135,1146,1147,1162,1172	0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,14,20,29,40,46,56,62,75,85,86,100,105,112,124,130,144,145,157,163,179,182,319,330,339,350,357,362,376,380,386,399,409,413,427,433,437,459,606,613,622,630,642,643,658,666,675,682,686,697,704,712,727,729,742,748,755,768,775,786,793,803,806,815,824,837,846,850,861,870,877,888,891,904,912,923,925,936,950,956,965,972,977,987,999,1005,1016,1026,1033,1041,1045,1054,1069,1076,1082,1089,1104,1112,1118,1123,1133,1139,1151,1158,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,15,22,26,34,46,52,64,69,77,93,95,110,116,124,132,139,148,160,163,171,183,321,327,335,350,357,362,375,382,393,397,408,413,428,430,442,597,602,614,624,626,641,649,652,662,674,684,687,695,711,717,726,735,741,750,755,768,778,783,796,801,808,815,828,832,840,855,858,868,876,888,899,902,912,922,931,936,948,955,966,972,977,988,998,1003,1014,1022,1030,1041,1053,1060,1065,1072,1085,1094,1096,1106,1120,1128,1136,1141,1149,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,19,25,34,47,56,65,73,84,86,96,104,115,120,133,141,153,162,164,172,186,326,330,341,346,359,369,373,380,387,399,405,415,428,435,442,455,605,614,624,628,642,645,658,660,672,682,688,695,706,714,727,731,737,754,758,765,779,788,794,801,807,817,830,836,843,853,863,873,881,888,894,903,909,920,926,939,944,955,965,970,981,990,994,1005,1012,1025,1028,1036,1052,1057,1062,1072,1087,1092,1100,1108,1120,1128,1136,1140,1151,1157,1167	1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
2,11,23,31,40,46,53,61,70,82,86,101,103,115,126,130,138,146,155,163,178,183,324,329,339,349,356,363,376,386,394,402,411,418,428,431,446,599,608,614,619,630,639,647,660,664,671,685,690,695,703,714,723,731,740,753,759,766,775,785,796,804,808,815,823,837,845,853,864,870,879,886,897,903,913,922,931,941,945,957,960,975,981,993,998,1004,1018,1027,1028,1043,1048,1058,1066,1073,1081,1090,1098,1109,1119,1128,1131,1139,1154,1156,1168,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,24,33,35,48,58,64,69,79,88,102,110,113,126,135,144,151,154,167,175,315,324,332,342,347,358,367,375,379,391,400,406,419,428,436,440,471,601,611,625,627,639,650,655,662,671,686,694,696,707,715,728,729,741,748,759,764,775,787,795,802,813,817,830,838,841,849,865,867,877,886,892,904,911,925,933,941,945,951,962,969,982,988,995,1008,1013,1026,1030,1044,1052,1059,1070,1071,1083,1092,1100,1106,1115,1128,1133,1139,1154,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,26,41,49,51,67,74,83,91,100,109,113,120,128,137,151,157,170,178,314,325,328,338,350,354,365,371,383,388,402,406,417,420,432,437,459,607,616,622,628,640,649,659,668,673,678,689,697,711,719,722,733,738,746,762,770,775,785,794,800,810,814,830,839,848,854,865,869,880,883,893,904,908,919,929,941,945,957,962,974,982,985,998,1005,1011,1026,1036,1043,1052,1059,1068,1072,1084,1093,1102,1109,1115,1124,1132,1144,1152,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,30,42,47,53,67,69,77,89,99,106,113,122,129,138,147,154,166,175,315,318,330,342,350,358,368,371,385,387,398,410,415,428,436,444,597,605,617,622,634,639,648,652,667,674,680,693,701,705,713,722,735,740,754,756,770,776,788,796,802,810,820,826,832,842,856,862,871,875,883,895,903,915,925,931,940,942,952,964,968,982,987,996,1009,1012,1023,1028,1041,1050,1056,1069,1075,1083,1093,1100,1110,1115,1130,1134,1143,1148,1163,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,25,29,34,46,58,63,69,82,93,94,109,115,122,134,144,149,159,163,173,316,323,327,337,347,360,362,371,380,391,395,405,419,425,430,438,596,607,612,621,632,641,651,658,660,669,680,686,697,705,713,726,735,744,748,760,766,773,788,793,804,809,818,826,837,842,849,859,868,876,888,896,904,913,918,931,934,949,954,965,970,984,989,998,1010,1014,1019,1030,1044,1051,1056,1064,1071,1083,1093,1100,1112,1114,1125,1137,1142,1155,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,29,34,47,54,67,75,82,88,100,104,115,125,130,137,146,155,162,170,314,323,327,343,350,356,366,373,382,393,395,406,413,427,433,444,597,604,612,622,630,638,650,652,667,677,684,693,695,710,713,724,729,737,751,762,769,777,781,789,798,810,820,823,835,848,855,863,873,878,886,895,901,911,924,930,941,943,956,962,974,977,991,998,1008,1016,1020,1033,1040,1048,1061,1065,1071,1085,1089,1100,1107,1115,1123,1134,1144,1149,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,26,34,47,57,61,76,82,88,101,106,117,119,136,140,145,159,162,177,314,323,331,338,344,356,367,370,378,389,403,407,414,426,433,446,598,603,611,625,629,641,649,652,665,676,685,693,699,703,713,722,730,739,752,757,771,775,785,790,798,810,818,831,833,841,855,860,868,875,888,893,906,909,922,929,935,945,958,963,973,979,989,998,1007,1017,1026,1036,1040,1047,1055,1070,1078,1079,1090,1099,1108,1113,1123,1136,1146,1153,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,28,35,46,58,65,72,80,85,99,105,117,121,128,142,150,157,169,178,316,319,328,341,350,355,361,376,386,394,396,404,412,423,431,441,462,609,615,624,627,635,651,660,668,676,685,694,701,708,712,721,735,738,749,763,770,773,784,795,800,812,819,824,833,841,856,860,870,876,890,895,906,913,920,927,939,943,951,959,969,984,993,995,1006,1018,1021,1034,1038,1050,1057,1068,1076,1080,1089,1104,1107,1118,1129,1135,1139,1152,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,29,39,42,55,64,74,81,90,98,105,118,121,128,138,148,153,169,179,314,326,328,338,350,353,363,371,386,394,396,408,417,423,437,440,449,601,616,620,632,638,651,653,666,676,680,687,696,706,713,727,732,737,753,756,770,777,781,790,804,806,819,824,838,848,852,859,870,882,883,893,905,913,924,927,941,944,955,962,976,984,991,1001,1004,1011,1019,1030,1039,1048,1054,1062,1078,1084,1092,1096,1109,1114,1126,1138,1143,1148,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,32,34,48,52,68,70,77,93,96,105,112,120,134,140,152,155,163,175,179,324,333,335,346,354,365,375,384,392,396,405,414,425,431,443,600,603,613,625,629,641,651,656,661,674,681,693,697,710,719,722,732,739,753,757,769,779,786,794,804,814,815,830,836,843,854,857,868,878,890,891,904,915,924,926,939,942,953,960,975,977,993,1001,1004,1015,1021,1028,1042,1049,1061,1062,1071,1083,1093,1104,1112,1117,1123,1137,1146,1151,1157,1170,1174	0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,21,25,41,42,52,63,71,78,91,97,110,119,124,132,140,152,157,165,179,314,322,327,342,345,360,369,377,382,388,402,407,417,420,436,442,450,604,609,625,634,635,646,654,668,671,685,687,703,705,718,726,733,739,751,758,770,776,785,796,800,814,817,829,834,845,853,864,866,875,886,894,904,912,922,927,937,948,957,966,968,976,992,995,1005,1011,1024,1032,1036,1051,1054,1064,1071,1082,1087,1100,1113,1120,1129,1136,1147,1155,1159,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,27,40,45,54,67,71,83,87,101,107,111,126,135,140,147,154,169,176,316,324,332,342,344,356,366,375,383,388,398,409,413,428,434,439,454,601,611,626,633,638,649,657,662,677,680,687,697,704,717,726,732,742,746,759,767,773,787,797,801,807,814,829,835,842,855,859,866,881,888,891,902,912,918,933,936,947,955,962,969,977,993,998,1009,1018,1023,1033,1039,1046,1059,1070,1076,1080,1095,1101,1112,1113,1123,1132,1144,1147,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,26,40,48,57,60,76,79,89,101,110,119,124,134,136,146,156,169,171,317,318,335,336,347,357,368,374,380,386,403,407,415,422,431,443,600,603,611,618,630,637,649,659,664,675,681,686,694,706,715,720,730,739,753,755,763,778,786,789,804,806,815,828,836,840,856,865,870,877,885,894,902,915,923,925,941,945,957,963,976,978,988,995,1004,1018,1020,1036,1043,1047,1054,1062,1074,1083,1089,1102,1110,1118,1126,1133,1142,1152,1156,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,25,31,41,44,53,66,76,77,87,101,107,114,126,130,140,149,153,168,178,313,322,330,339,350,355,362,375,381,389,400,405,414,421,429,444,455,608,609,624,633,640,645,656,667,672,683,687,699,708,718,728,734,739,747,757,766,776,787,791,802,806,814,828,836,846,853,865,870,879,886,892,906,910,918,926,940,947,959,960,973,978,992,996,1003,1010,1024,1029,1036,1050,1056,1070,1079,1085,1094,1100,1111,1113,1121,1137,1143,1153,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,26,38,43,59,67,75,83,92,95,103,119,125,130,137,150,159,168,173,188,323,333,335,345,354,365,371,380,390,403,404,416,429,435,438,447,601,615,624,633,638,647,659,666,676,681,688,695,710,714,723,732,745,746,757,771,776,781,794,798,810,822,824,839,842,850,865,870,876,890,892,900,915,919,927,936,950,953,965,973,982,992,1001,1008,1015,1019,1030,1040,1049,1059,1063,1076,1087,1091,1104,1106,1117,1122,1131,1140,1153,1160,1170,1174	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
5,15,23,32,38,44,51,63,73,76,86,96,104,115,124,134,139,152,158,164,176,313,325,334,336,344,360,366,370,381,388,401,411,419,425,435,445,598,602,617,625,633,637,649,659,668,677,684,692,698,709,716,728,735,742,754,761,768,773,788,793,804,813,816,825,838,843,856,864,871,879,887,891,901,908,924,927,940,943,951,965,970,980,987,994,1003,1013,1024,1028,1036,1053,1061,1064,1072,1079,1089,1100,1111,1117,1124,1135,1142,1154,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,32,41,44,56,66,68,85,90,94,109,118,121,129,136,149,159,166,172,317,321,334,339,350,354,363,369,379,388,401,407,415,421,431,441,468,607,616,619,631,641,651,659,665,675,680,692,699,711,719,728,737,744,751,755,766,771,783,793,800,808,816,828,838,841,854,860,869,876,888,897,905,911,923,928,937,945,956,963,972,983,986,997,1009,1015,1020,1034,1042,1045,1060,1065,1075,1086,1090,1100,1112,1119,1130,1133,1141,1152,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,29,35,42,55,67,73,78,88,94,104,115,120,134,145,149,162,168,172,314,322,329,342,349,352,367,375,384,394,403,407,417,429,436,438,598,601,610,619,634,636,644,655,663,676,679,692,695,709,712,720,731,739,747,762,764,773,780,795,804,812,818,824,831,847,853,863,867,881,889,895,908,915,918,932,940,944,959,963,974,977,987,995,1003,1016,1024,1035,1040,1052,1057,1069,1076,1082,1095,1099,1112,1114,1128,1134,1140,1155,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,30,34,47,51,66,68,81,91,95,107,115,120,129,141,153,156,168,177,316,319,330,337,345,357,365,373,379,389,397,410,416,424,431,443,460,606,612,621,634,639,646,659,661,672,680,692,700,704,718,726,732,745,751,755,766,776,788,793,804,807,819,827,839,847,856,858,866,876,884,893,901,909,917,930,941,947,954,964,969,983,987,1000,1004,1019,1027,1032,1036,1047,1061,1062,1075,1086,1095,1102,1112,1120,1127,1138,1147,1149,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,18,29,40,44,58,66,69,77,91,95,106,118,126,136,140,153,159,168,176,315,325,329,339,351,358,364,377,380,390,399,411,413,428,436,445,598,607,616,623,628,639,648,653,662,676,685,688,696,711,712,725,736,743,747,759,764,777,787,794,802,807,814,831,837,845,851,864,867,875,888,892,903,914,919,932,935,945,952,968,974,978,992,999,1003,1018,1024,1033,1041,1046,1061,1067,1071,1079,1091,1097,1105,1119,1125,1135,1144,1153,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,26,37,44,54,61,75,80,90,101,105,115,125,128,141,145,158,166,178,314,321,327,336,351,354,361,372,385,391,396,410,415,424,437,445,596,603,613,624,628,642,646,657,662,673,680,687,696,711,715,722,736,740,750,762,767,773,788,791,801,806,814,823,838,848,850,857,866,878,887,894,904,913,922,931,935,944,954,960,973,984,987,994,1005,1018,1024,1031,1042,1049,1058,1063,1072,1081,1092,1098,1105,1114,1125,1136,1140,1149,1158,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,28,42,45,52,64,73,80,87,102,103,118,120,128,142,145,155,166,178,314,326,330,343,348,356,362,372,379,394,400,411,420,427,437,439,599,604,615,624,629,637,648,656,662,677,682,687,698,704,713,721,730,745,747,757,766,776,786,791,797,810,814,828,836,847,850,863,869,875,889,892,901,909,921,929,940,948,951,961,973,978,990,1000,1007,1015,1024,1028,1036,1050,1058,1063,1072,1084,1091,1098,1109,1118,1122,1136,1144,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,31,40,44,52,66,76,77,90,102,107,115,119,130,139,147,161,162,174,316,322,330,342,347,357,365,371,379,390,395,409,419,424,434,445,597,607,609,622,628,640,644,654,663,672,678,690,699,711,714,724,734,741,752,758,763,778,782,796,798,806,815,831,836,848,853,861,869,879,891,899,901,910,919,929,934,948,955,967,974,978,988,1001,1008,1013,1019,1028,1043,1048,1060,1064,1076,1081,1093,1104,1112,1116,1126,1133,1141,1148,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,29,41,48,53,66,73,82,87,99,110,118,123,136,137,150,154,169,172,313,319,328,342,349,355,366,374,379,388,395,407,417,425,436,442,597,603,616,623,629,639,650,657,667,673,682,692,703,708,719,722,732,744,747,757,768,776,781,796,802,805,819,830,834,844,849,860,868,882,884,896,905,914,919,926,940,947,953,961,976,979,991,997,1010,1017,1025,1034,1042,1047,1055,1065,1078,1082,1091,1096,1106,1119,1128,1133,1146,1149,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,30,39,48,59,61,73,77,90,95,110,117,126,130,143,151,160,169,179,316,326,329,339,351,356,365,376,384,387,396,404,413,424,434,445,599,603,613,618,627,638,650,659,662,671,680,686,700,704,720,722,729,742,752,757,763,777,781,794,803,808,818,826,834,840,851,857,873,878,885,897,904,910,921,928,935,945,959,964,976,985,991,997,1008,1018,1024,1033,1040,1050,1056,1063,1075,1081,1088,1102,1110,1117,1124,1131,1144,1148,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,32,34,43,51,66,70,82,86,95,106,118,127,129,141,150,161,170,175,316,326,328,338,345,352,364,371,385,393,398,406,416,423,434,441,462,601,617,619,631,637,647,654,662,673,680,689,701,707,714,721,734,740,753,761,763,776,785,794,797,810,814,829,837,847,849,859,873,877,884,893,900,909,917,933,941,950,956,960,971,978,992,994,1003,1016,1026,1028,1044,1053,1060,1068,1073,1079,1093,1102,1107,1118,1124,1134,1143,1154,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,22,30,41,43,52,63,72,83,86,99,107,113,126,128,137,149,160,166,178,314,319,331,336,350,358,361,377,384,394,399,409,412,421,437,445,470,601,610,623,629,643,647,653,667,675,679,694,700,704,713,720,731,742,746,761,764,773,788,796,804,807,818,830,839,846,856,864,870,875,884,893,901,910,918,933,934,946,958,959,971,977,993,1000,1008,1017,1024,1031,1040,1049,1060,1066,1074,1082,1092,1102,1110,1113,1129,1137,1139,1155,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,27,39,43,58,66,68,82,92,101,103,116,124,136,145,151,160,168,175,182,324,332,343,350,356,369,371,381,389,401,410,420,421,436,444,450,607,611,625,627,640,649,659,662,671,678,693,702,710,714,727,729,737,750,762,767,779,787,796,803,808,815,823,834,848,849,857,874,879,890,898,903,913,924,930,935,942,958,966,974,979,989,1002,1007,1013,1020,1030,1044,1050,1060,1065,1078,1079,1092,1101,1105,1119,1123,1134,1140,1151,1162,1166,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,32,35,45,51,68,75,77,91,97,106,116,119,135,143,147,157,162,177,317,326,335,341,346,357,368,370,384,391,403,406,420,423,432,438,596,605,614,624,627,642,649,656,661,671,681,694,699,705,713,721,734,738,748,762,768,779,781,789,801,809,822,824,834,845,854,862,873,881,886,892,901,916,918,925,935,945,951,966,970,981,987,998,1006,1013,1025,1036,1042,1048,1058,1069,1072,1081,1089,1101,1105,1120,1124,1135,1144,1153,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
5,15,21,31,36,50,54,59,72,84,92,101,106,112,120,133,140,151,162,166,179,200,326,334,335,346,358,361,374,386,394,396,407,413,421,430,438,469,606,613,619,627,637,647,656,665,672,677,693,697,708,715,725,736,737,752,762,771,774,783,793,798,813,822,830,836,842,851,865,868,875,884,899,901,912,917,925,937,949,958,961,970,979,985,996,1004,1019,1026,1031,1040,1049,1056,1063,1077,1087,1089,1098,1107,1117,1121,1132,1146,1154,1160,1170,1174	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,31,39,45,59,61,70,79,89,96,108,115,126,133,141,153,160,167,172,182,322,331,340,346,353,366,376,378,387,400,405,413,421,429,438,597,604,612,619,626,638,645,660,661,675,678,688,698,706,713,727,730,740,747,757,765,772,787,795,801,809,816,826,833,842,856,863,868,874,885,898,907,913,924,933,935,947,955,965,972,985,986,1002,1007,1017,1020,1033,1044,1046,1054,1069,1071,1084,1089,1104,1105,1115,1122,1137,1147,1155,1160,1170,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,27,40,51,57,61,74,84,89,98,105,118,123,135,143,151,157,163,177,188,325,329,339,345,359,361,376,381,387,395,407,414,420,435,439,462,604,615,625,628,642,651,657,663,672,683,688,699,704,718,728,735,738,752,763,769,773,785,791,804,809,821,826,832,844,851,864,872,881,888,898,907,909,920,933,935,948,951,960,973,980,991,1002,1003,1016,1024,1032,1037,1046,1056,1063,1076,1084,1092,1099,1109,1117,1127,1138,1143,1149,1157,1168,1178	0,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,9,21,27,35,47,52,61,69,82,88,101,105,116,126,128,137,152,155,165,173,195,324,326,336,347,358,369,370,380,394,395,404,414,422,437,442,598,602,617,620,634,640,651,652,664,669,681,694,698,708,720,722,733,744,747,760,766,778,788,791,805,809,818,831,833,841,849,858,867,880,883,895,902,911,918,926,941,950,953,963,970,978,989,995,1003,1017,1025,1028,1043,1046,1055,1065,1075,1081,1093,1098,1111,1121,1127,1132,1143,1152,1163,1166,1175	0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
6,13,25,28,35,47,54,63,69,78,87,102,109,118,126,136,140,148,160,165,177,184,320,331,340,351,360,364,372,378,391,395,405,417,421,432,439,468,609,617,621,633,639,650,660,661,676,680,686,702,707,713,724,733,742,749,760,763,778,788,789,805,806,822,826,838,847,852,860,865,876,886,894,900,914,919,926,935,950,951,966,973,982,993,999,1005,1017,1020,1029,1039,1051,1057,1062,1072,1086,1091,1103,1107,1118,1126,1134,1146,1149,1162,1169,1178	0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,9,18,25,35,46,56,62,71,79,91,99,108,114,123,132,138,148,156,164,172,314,325,331,341,346,354,361,377,384,393,400,406,412,426,429,444,599,608,613,622,628,638,646,658,667,675,682,691,697,704,715,723,729,745,748,760,770,772,781,794,800,813,819,829,831,847,852,857,866,875,885,896,903,916,918,927,939,945,951,967,971,980,987,999,1010,1013,1026,1032,1040,1052,1056,1064,1077,1084,1091,1097,1107,1117,1124,1138,1143,1153,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,23,28,35,44,52,68,70,81,92,96,107,114,126,135,138,153,160,168,171,317,319,327,338,349,353,366,376,383,387,397,404,418,424,429,442,596,601,617,623,634,640,649,655,665,672,684,688,703,705,713,724,730,745,752,757,769,780,785,795,798,807,820,831,835,842,849,862,870,881,888,897,903,910,917,931,938,948,958,961,975,976,986,995,1009,1013,1023,1035,1038,1048,1054,1068,1073,1087,1094,1097,1110,1117,1126,1137,1142,1152,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,30,38,42,54,64,71,85,88,98,109,119,121,133,144,150,157,168,172,188,318,330,336,346,358,369,370,379,392,402,412,415,424,430,439,599,603,616,619,630,639,649,656,661,677,681,691,696,708,714,727,730,738,750,760,766,775,786,795,801,807,814,828,836,848,849,864,868,881,885,893,906,913,919,932,938,942,952,968,971,983,988,1000,1010,1016,1025,1035,1037,1052,1060,1069,1078,1082,1087,1096,1107,1120,1124,1136,1141,1153,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,21,27,41,44,56,63,75,84,89,95,105,116,123,129,138,151,160,170,171,179,325,331,342,350,356,362,375,378,387,399,408,417,426,432,441,597,603,614,621,632,640,644,652,662,670,681,690,699,706,719,723,735,742,754,757,763,774,785,789,805,808,816,823,839,845,853,861,873,879,890,898,904,912,923,926,940,947,951,964,968,979,991,994,1002,1014,1024,1036,1043,1052,1061,1070,1072,1083,1090,1102,1107,1121,1129,1137,1145,1155,1162,1172	1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,14,22,28,34,45,53,67,69,79,86,94,103,116,123,133,140,150,159,164,177,192,322,329,339,350,356,363,376,382,392,396,410,412,422,430,440,466,608,614,621,628,635,650,660,665,672,686,691,703,704,718,721,729,739,754,756,770,776,787,795,801,809,821,825,838,841,855,864,866,881,886,893,904,912,918,933,940,950,957,964,970,977,990,996,1006,1014,1027,1031,1044,1051,1062,1064,1075,1083,1091,1099,1109,1118,1124,1137,1144,1150,1159,1166,1175	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,18,30,40,47,55,66,76,78,93,97,109,111,123,132,140,147,157,170,178,194,325,331,343,351,356,363,374,386,392,398,407,417,424,429,439,469,608,612,621,632,640,651,660,666,676,678,690,699,703,714,721,736,741,754,757,765,778,788,796,804,811,816,828,833,845,853,858,866,877,882,893,905,908,919,930,941,943,955,961,972,981,986,1000,1005,1015,1022,1030,1042,1052,1056,1066,1074,1085,1091,1103,1108,1120,1127,1135,1142,1155,1163,1169,1174	0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,24,27,38,50,52,65,71,81,92,97,104,111,125,132,137,147,157,162,174,315,325,327,337,346,359,364,377,384,393,399,408,418,429,430,442,452,603,609,623,628,640,646,657,668,674,679,690,702,710,712,728,732,743,751,756,770,775,787,794,797,810,819,825,838,845,850,865,867,876,882,894,904,910,920,929,937,948,955,959,972,977,989,996,1004,1011,1025,1035,1039,1052,1055,1068,1077,1087,1091,1104,1112,1116,1124,1138,1142,1149,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,24,28,38,50,57,66,75,78,93,97,103,115,125,129,141,147,156,167,177,183,319,334,341,348,356,364,371,378,386,397,405,420,428,436,439,596,609,617,623,626,635,650,658,665,676,681,688,698,706,712,722,731,739,746,759,771,778,784,791,798,810,819,825,832,847,853,861,873,875,884,892,905,913,921,932,942,944,953,966,969,980,988,999,1005,1012,1027,1034,1042,1049,1061,1063,1073,1085,1088,1103,1105,1119,1125,1131,1144,1150,1158,1167	1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,25,27,38,48,51,66,70,83,87,95,104,111,121,135,139,150,159,164,173,315,319,333,337,349,353,369,376,386,394,396,408,420,425,429,446,597,606,610,623,628,642,646,656,665,674,680,688,694,705,713,725,735,743,751,758,769,779,781,795,801,809,819,830,832,845,849,861,866,878,890,897,900,908,923,926,936,943,954,965,970,984,989,1002,1005,1016,1024,1033,1039,1049,1059,1066,1075,1081,1095,1096,1112,1117,1122,1138,1141,1149,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,32,41,48,51,66,73,78,87,94,108,114,126,133,140,147,155,164,178,314,323,331,335,349,356,366,372,378,387,399,405,414,422,430,444,599,607,617,624,629,641,645,657,667,676,677,687,701,706,719,722,731,745,746,756,769,774,784,795,799,808,816,823,836,848,853,865,866,876,886,895,901,910,921,928,942,944,951,967,968,979,992,1000,1003,1014,1027,1034,1036,1052,1057,1068,1077,1082,1093,1102,1108,1121,1124,1132,1143,1147,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,20,29,39,48,59,67,75,83,85,98,103,118,121,131,143,153,154,167,171,314,322,328,342,351,353,362,374,381,390,398,409,419,427,437,443,597,603,615,620,632,638,643,655,662,673,680,686,698,704,718,728,731,742,750,756,763,775,780,789,800,812,818,825,839,841,855,857,872,882,889,899,906,914,917,931,934,943,956,964,976,979,990,999,1008,1012,1025,1027,1039,1045,1060,1067,1075,1082,1088,1102,1110,1113,1126,1135,1146,1148,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,28,35,45,52,61,71,85,88,102,107,115,123,135,143,149,158,168,171,313,323,333,340,347,358,363,370,381,388,395,406,413,424,432,440,468,609,612,624,628,637,645,659,667,674,684,693,702,708,716,722,732,739,751,761,766,779,782,789,800,813,821,826,834,845,856,863,870,879,890,893,903,910,919,931,936,945,955,960,968,976,988,996,1002,1018,1020,1030,1043,1050,1059,1062,1074,1084,1091,1104,1109,1121,1123,1132,1144,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,26,36,46,53,64,74,81,92,102,109,114,120,131,137,153,157,166,177,317,320,329,343,351,357,362,378,383,389,398,403,417,427,431,438,599,606,612,625,631,641,647,658,664,675,678,690,695,704,717,721,730,739,748,762,770,776,786,790,799,808,817,830,836,848,849,865,870,878,887,894,902,908,918,930,942,947,953,960,974,979,987,1000,1007,1012,1027,1030,1037,1047,1057,1070,1073,1080,1095,1102,1104,1119,1128,1136,1144,1149,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,29,41,46,58,62,70,79,87,95,104,118,124,133,137,146,155,166,177,313,321,330,340,352,353,367,372,380,390,401,404,417,425,433,441,600,604,616,625,629,639,643,658,663,671,680,690,697,706,715,726,729,745,747,755,768,773,783,789,800,808,818,828,837,840,857,863,871,879,889,893,901,909,923,933,940,950,953,965,968,978,986,994,1006,1016,1025,1030,1044,1048,1057,1066,1078,1086,1090,1101,1108,1117,1122,1132,1138,1153,1156,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,30,38,44,51,64,71,78,91,96,110,115,125,131,138,153,160,165,175,317,324,332,337,351,353,364,375,384,387,399,410,419,421,436,439,470,608,610,619,631,642,645,653,663,670,681,687,702,703,717,722,729,741,746,759,771,773,786,791,800,809,821,828,838,842,851,864,869,876,883,898,907,910,922,927,941,949,958,965,971,980,990,1001,1005,1014,1020,1029,1043,1049,1057,1065,1077,1080,1087,1098,1112,1120,1123,1137,1139,1153,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,32,36,48,53,67,70,83,87,96,108,111,125,130,137,150,161,167,174,314,319,330,337,346,355,363,375,381,391,395,410,412,428,433,443,596,607,610,622,630,637,648,655,665,676,679,692,698,709,713,722,734,737,748,754,769,778,781,790,799,811,818,825,833,844,856,863,872,878,883,894,900,915,920,925,936,944,954,964,975,977,988,1001,1004,1012,1025,1029,1041,1050,1058,1062,1074,1082,1092,1101,1113,1116,1122,1137,1145,1153,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,25,34,38,43,57,62,76,83,91,101,110,118,122,134,140,146,161,162,179,181,322,327,340,347,352,369,377,378,388,397,403,413,428,431,444,596,604,617,621,626,638,646,657,661,676,686,692,703,711,712,725,735,737,750,760,765,779,787,795,798,811,822,827,836,841,855,859,868,882,888,895,907,914,924,929,941,944,953,962,968,984,987,1000,1006,1018,1019,1035,1044,1050,1054,1069,1078,1084,1088,1103,1111,1118,1123,1137,1145,1150,1161,1167	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,20,32,36,48,59,65,74,81,92,98,104,112,127,128,137,150,157,163,176,315,322,334,336,346,359,362,378,383,387,402,408,417,425,431,438,598,606,610,623,626,635,646,658,666,676,686,689,702,707,714,723,732,744,748,759,770,777,781,794,799,808,815,827,837,845,851,858,867,878,884,891,906,916,924,929,940,948,953,959,974,982,993,1000,1002,1018,1023,1032,1042,1046,1060,1066,1075,1085,1089,1100,1109,1118,1122,1138,1145,1155,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,30,36,50,56,67,72,77,87,96,110,112,121,129,142,149,162,164,175,317,324,331,342,346,357,365,376,384,389,397,408,414,426,434,443,450,607,609,620,629,640,647,658,664,669,678,688,695,711,720,726,730,744,746,754,771,775,782,792,804,810,815,824,836,843,853,863,867,878,888,892,907,909,921,926,939,944,954,965,974,980,986,998,1010,1012,1022,1032,1039,1046,1059,1063,1077,1084,1091,1099,1109,1118,1123,1131,1145,1151,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,27,36,45,51,64,76,81,87,97,104,111,125,134,139,150,159,163,178,313,318,327,339,348,358,365,373,386,393,397,408,414,423,433,443,467,608,610,623,629,636,651,654,665,676,686,691,700,711,713,728,737,745,752,758,765,775,784,795,799,812,822,828,831,848,849,858,869,882,884,894,908,914,921,926,940,943,958,967,972,982,987,1002,1006,1012,1027,1032,1038,1049,1060,1065,1077,1084,1090,1103,1111,1117,1126,1134,1143,1151,1156,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,25,40,46,59,63,70,82,93,99,110,118,126,131,138,145,159,165,172,313,324,329,335,346,358,368,373,383,388,398,412,419,421,435,444,597,601,611,624,634,642,644,657,666,674,685,687,696,707,719,722,737,738,753,761,765,775,788,794,798,806,818,825,839,847,852,858,868,877,887,899,901,911,922,931,941,943,958,966,972,977,986,995,1004,1014,1024,1033,1038,1045,1054,1063,1077,1081,1092,1097,1112,1116,1128,1134,1147,1149,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,26,34,45,59,66,69,79,88,97,102,116,120,128,142,148,158,169,172,180,320,330,342,346,353,364,377,378,390,395,411,417,427,431,437,597,606,610,622,626,640,649,657,664,673,679,693,699,706,718,726,734,741,746,757,769,778,788,790,804,808,816,830,839,845,851,860,869,877,888,896,902,914,921,932,940,947,958,963,971,979,987,993,1005,1017,1025,1033,1042,1049,1056,1062,1073,1085,1088,1097,1110,1115,1124,1130,1143,1154,1163,1167	1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,18,33,41,43,55,60,69,85,89,96,106,115,123,132,140,149,160,167,173,317,325,332,343,346,356,365,369,381,389,399,405,416,421,429,439,599,605,615,624,631,636,652,658,661,672,681,686,698,711,712,727,730,742,750,755,764,774,783,792,802,810,815,825,834,847,854,857,874,875,883,894,907,915,922,929,935,945,958,966,974,981,992,999,1005,1018,1020,1032,1043,1050,1061,1068,1073,1082,1090,1098,1111,1114,1128,1135,1139,1148,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,20,32,36,46,56,68,72,77,91,94,103,118,120,132,144,152,159,165,170,314,320,326,335,349,355,368,372,383,391,399,408,418,423,435,441,465,605,611,622,632,642,650,655,661,670,680,687,701,711,719,727,734,745,750,762,765,775,783,796,805,807,816,830,835,845,854,860,873,880,882,895,907,916,918,933,938,945,959,960,970,983,987,995,1004,1017,1019,1028,1040,1047,1061,1067,1076,1087,1089,1097,1110,1118,1122,1136,1139,1151,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,27,40,43,58,64,70,84,87,99,103,113,127,134,140,146,161,170,178,316,319,332,342,352,360,367,377,383,394,401,411,417,425,436,441,600,609,615,625,627,641,647,658,665,671,678,691,703,704,717,726,735,740,751,756,769,779,783,792,803,813,819,828,837,846,852,858,872,882,886,896,901,914,921,930,936,949,953,961,971,979,993,1000,1009,1012,1019,1034,1039,1045,1056,1069,1078,1081,1089,1097,1112,1120,1129,1132,1146,1152,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,25,33,35,43,58,66,71,81,88,96,110,118,122,131,142,145,157,162,177,313,323,333,340,348,357,363,371,383,394,398,408,419,423,433,442,599,603,609,622,632,636,645,654,667,677,678,691,698,704,712,722,730,740,752,758,769,773,782,796,804,806,814,824,839,845,849,864,871,881,889,893,903,910,921,927,937,943,952,965,975,980,986,996,1003,1015,1025,1034,1036,1051,1056,1070,1075,1086,1092,1098,1106,1117,1125,1138,1140,1153,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,32,38,47,53,62,68,83,89,101,110,113,121,134,140,145,159,170,173,313,322,329,340,347,357,365,373,382,389,403,410,420,425,433,445,600,603,609,623,633,636,644,657,663,673,684,692,700,707,719,725,731,743,748,761,763,776,787,797,804,807,814,826,835,842,856,861,867,878,890,892,900,909,925,930,938,950,958,965,976,982,986,999,1005,1011,1023,1036,1037,1045,1060,1067,1074,1082,1088,1101,1109,1117,1122,1131,1140,1150,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,26,36,44,52,61,72,80,90,96,106,111,123,133,137,147,156,164,177,315,324,331,336,345,359,366,373,381,391,398,409,412,429,431,444,458,607,611,619,633,640,649,658,666,672,678,693,703,708,714,726,732,745,753,761,770,779,782,793,803,810,815,830,839,840,852,857,873,876,889,898,905,915,924,933,942,949,953,962,969,980,985,996,1010,1015,1025,1027,1041,1050,1058,1067,1076,1083,1090,1103,1107,1120,1128,1132,1146,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,26,41,47,53,64,68,82,91,97,103,116,121,132,137,146,159,165,176,315,325,330,338,351,356,366,372,379,390,398,410,417,422,435,439,598,606,614,621,632,641,646,659,665,677,682,688,701,710,713,725,729,741,747,757,770,775,780,795,805,807,816,830,834,845,853,863,874,882,887,892,903,910,921,932,937,946,953,965,970,983,992,997,1005,1018,1022,1032,1040,1045,1057,1064,1074,1083,1092,1098,1109,1117,1126,1134,1140,1150,1158,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,29,39,45,56,60,75,83,93,95,108,111,127,128,137,151,161,164,172,317,324,334,338,350,355,364,373,380,391,397,404,416,429,434,439,598,604,615,619,628,638,651,658,663,671,682,693,699,704,716,721,732,739,749,755,765,778,785,793,801,812,818,829,839,844,848,859,868,881,888,895,900,914,919,929,942,949,957,962,972,979,986,994,1005,1015,1021,1030,1038,1046,1060,1067,1074,1082,1088,1101,1109,1118,1123,1133,1141,1150,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,31,38,44,59,61,73,77,92,95,109,118,126,129,139,146,161,168,178,315,326,332,342,347,354,361,370,380,389,400,407,414,421,429,442,598,604,615,626,630,640,648,660,668,670,682,691,701,704,712,725,735,737,751,759,763,773,781,791,800,809,818,827,832,842,856,860,874,880,886,893,904,915,919,931,939,950,958,967,970,976,986,1000,1006,1010,1020,1029,1043,1047,1058,1063,1079,1086,1090,1096,1106,1117,1129,1138,1141,1149,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,24,27,34,47,55,60,72,81,89,96,105,116,123,135,136,148,159,164,172,315,320,326,340,351,352,361,371,385,394,399,405,415,420,434,446,447,608,614,622,632,639,648,656,665,675,680,687,695,706,717,728,730,742,750,756,764,774,783,792,802,814,821,827,832,847,855,859,870,878,883,894,903,909,920,930,940,950,957,963,968,977,993,994,1007,1015,1026,1035,1036,1046,1057,1062,1077,1084,1089,1104,1105,1117,1126,1136,1147,1155,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,30,40,46,57,63,73,81,90,97,109,112,127,134,140,150,159,163,171,316,323,330,340,344,358,362,376,383,393,396,409,415,429,432,445,598,603,610,624,633,642,650,653,663,673,681,687,700,708,715,722,729,738,747,758,771,776,788,796,805,808,821,824,838,841,850,859,872,880,886,898,902,916,923,933,937,944,956,960,971,976,985,995,1006,1013,1021,1029,1040,1052,1055,1062,1077,1084,1087,1098,1111,1119,1123,1131,1141,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,17,22,28,39,48,58,63,71,84,93,98,103,112,127,129,140,146,155,164,178,315,326,334,341,351,353,367,375,381,393,397,404,416,422,429,444,600,608,611,619,629,642,643,659,667,671,679,689,696,705,712,722,733,739,748,759,771,775,788,789,801,807,815,830,837,845,856,860,866,879,890,896,906,915,918,926,941,943,957,959,968,982,987,1001,1003,1015,1027,1033,1038,1049,1057,1066,1070,1083,1090,1103,1107,1113,1126,1134,1142,1153,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,28,41,43,53,63,75,84,87,96,103,118,126,134,142,148,156,166,176,185,324,334,342,351,358,369,370,379,388,395,411,414,428,435,443,599,604,616,625,634,638,648,653,666,675,685,693,701,703,715,728,734,745,753,759,766,779,781,790,801,813,816,830,837,847,855,859,871,875,891,894,902,915,921,925,939,948,959,962,974,984,987,995,1004,1016,1022,1030,1038,1049,1058,1062,1077,1081,1094,1101,1107,1114,1128,1135,1141,1152,1161,1166,1177	0,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0
7,16,19,28,39,47,52,65,73,84,88,98,109,113,124,136,142,153,158,166,179,182,324,332,340,348,355,361,372,383,387,398,406,412,423,434,438,597,606,612,624,634,638,648,659,669,675,686,691,700,704,718,724,733,738,753,760,771,777,780,795,798,813,819,827,837,843,850,861,867,881,883,892,907,910,925,928,942,943,957,966,974,980,992,999,1005,1011,1022,1028,1042,1048,1061,1063,1076,1081,1091,1097,1104,1121,1123,1137,1142,1147,1164,1168,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,25,27,38,49,51,66,74,80,85,95,103,116,120,132,142,152,160,170,178,186,324,332,341,344,353,361,373,383,395,401,405,414,423,434,439,599,602,610,622,628,641,648,658,663,671,686,694,702,710,712,726,731,741,747,756,768,772,781,790,800,814,816,830,834,844,850,863,873,877,889,898,905,909,925,931,937,950,953,962,976,978,986,1000,1004,1015,1022,1033,1041,1045,1058,1064,1076,1084,1095,1096,1107,1119,1126,1131,1146,1150,1163,1172,1177	1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,24,28,40,45,53,64,75,82,90,96,109,117,119,131,137,148,161,164,171,196,323,327,342,351,352,364,370,386,391,401,409,420,427,433,439,596,602,615,624,633,637,649,654,661,676,678,686,696,711,712,723,730,742,748,762,763,775,785,789,802,813,815,823,833,842,855,864,871,882,885,897,908,915,923,933,934,945,952,960,973,984,988,1000,1007,1017,1024,1034,1037,1046,1054,1062,1077,1087,1088,1099,1112,1116,1125,1132,1146,1153,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,15,19,26,37,43,59,66,73,85,91,97,109,113,124,132,142,148,160,170,173,181,320,332,340,345,360,368,370,380,390,396,411,420,428,431,439,600,603,612,623,632,637,650,654,667,677,679,689,696,704,717,725,734,745,747,761,771,774,780,791,803,810,816,823,834,848,851,861,871,881,882,899,907,916,918,927,934,946,954,961,971,980,987,1002,1009,1017,1024,1034,1043,1047,1054,1066,1071,1087,1090,1103,1108,1118,1125,1136,1144,1153,1159,1172	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,17,27,39,43,54,66,69,80,88,96,108,114,123,132,143,150,153,163,172,183,324,331,341,347,354,364,369,385,386,401,411,412,425,429,443,596,605,611,624,627,643,649,656,662,672,685,690,698,707,714,720,729,743,751,759,769,774,785,795,801,812,821,826,831,847,848,862,867,876,882,899,902,914,922,927,939,945,954,966,969,981,986,1001,1005,1015,1027,1032,1039,1045,1055,1068,1072,1084,1088,1104,1107,1115,1123,1130,1146,1148,1161,1167,1173	0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,10,23,27,39,43,59,61,76,77,93,95,108,111,123,134,139,152,154,163,172,183,325,327,337,349,357,367,376,379,393,396,403,412,423,433,446,447,605,615,625,627,641,646,660,668,672,679,686,700,704,719,720,732,743,747,756,770,776,788,789,801,809,815,823,836,846,852,860,870,880,888,896,901,911,922,925,938,949,953,965,973,983,986,1000,1009,1012,1020,1035,1038,1047,1058,1063,1073,1082,1093,1097,1112,1114,1121,1131,1146,1152,1160,1171	0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,17,33,37,50,56,60,71,82,90,96,108,117,126,136,143,148,153,165,178,313,322,331,341,345,358,364,374,379,389,397,407,419,425,432,444,468,608,611,625,634,637,648,655,661,674,684,688,701,706,715,728,734,742,750,762,771,777,783,790,804,810,819,830,836,847,852,865,872,878,890,898,906,913,919,927,939,950,954,968,976,979,987,998,1007,1015,1021,1033,1043,1051,1060,1068,1072,1082,1094,1100,1105,1117,1126,1131,1144,1152,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,17,27,42,48,56,67,68,84,87,100,106,114,120,132,136,145,154,162,173,315,318,328,341,346,359,364,373,383,390,400,409,413,427,432,445,599,602,615,622,630,639,652,653,666,669,684,691,697,708,716,726,735,743,748,761,768,771,783,793,798,807,817,826,838,845,850,859,869,878,884,896,905,914,920,926,938,942,956,960,971,983,985,1000,1006,1013,1020,1031,1036,1048,1055,1063,1073,1085,1095,1099,1112,1116,1126,1138,1142,1155,1158,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,27,38,43,54,68,72,82,87,95,110,114,121,132,139,147,157,166,171,189,319,329,337,345,354,361,376,386,394,399,409,417,422,430,438,598,604,613,619,629,641,643,656,668,676,685,690,701,710,714,726,730,745,753,756,770,771,787,796,798,812,819,830,838,841,855,863,868,881,884,897,904,908,920,928,938,943,958,961,969,981,990,1001,1010,1014,1022,1030,1042,1051,1059,1068,1073,1079,1095,1097,1105,1121,1128,1130,1139,1154,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,11,25,29,42,49,59,63,73,79,90,98,109,115,126,135,142,147,156,169,177,182,325,329,339,346,356,363,373,385,390,400,407,416,427,432,446,599,606,613,620,629,635,644,655,664,671,678,686,697,706,720,722,730,742,749,754,763,774,781,789,803,811,822,831,833,844,850,861,869,877,886,894,900,912,925,928,941,947,956,964,971,980,991,998,1002,1017,1023,1030,1042,1050,1058,1066,1075,1082,1089,1098,1107,1116,1122,1137,1139,1152,1158,1169,1174	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,20,28,41,47,53,60,71,79,92,99,107,112,122,136,144,146,160,170,172,188,319,333,343,346,356,363,370,386,388,398,404,413,422,436,441,596,608,612,618,627,635,650,657,662,671,682,687,697,711,719,721,730,745,748,763,771,778,785,796,805,813,820,825,837,843,849,859,871,878,887,897,901,914,917,932,938,942,959,964,973,979,987,994,1009,1014,1020,1029,1043,1048,1057,1062,1073,1085,1093,1097,1111,1115,1123,1137,1142,1150,1157,1164	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,11,18,26,39,45,56,63,75,84,86,95,108,116,124,129,141,146,158,170,178,190,323,330,340,344,353,361,375,379,391,402,408,418,426,430,442,461,607,615,625,628,640,644,657,665,669,680,686,699,705,719,727,731,740,750,758,767,774,785,789,797,807,815,826,833,840,852,862,872,879,886,896,901,915,919,932,940,942,951,962,970,981,985,1000,1005,1017,1020,1031,1037,1053,1055,1068,1078,1084,1095,1098,1111,1118,1127,1138,1144,1147,1159,1166,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
1,13,17,26,37,42,52,60,73,77,87,96,103,114,123,134,142,148,158,165,171,206,325,333,341,345,359,361,375,378,393,402,408,415,421,435,441,600,603,612,621,633,641,649,660,668,676,679,689,696,706,716,728,733,738,748,762,763,777,781,796,803,809,815,823,835,847,852,861,870,881,886,897,903,909,924,926,942,947,956,965,969,977,988,1002,1004,1010,1019,1035,1037,1046,1055,1064,1077,1087,1093,1100,1106,1115,1122,1134,1144,1148,1159,1170,1175	1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,13,21,32,34,48,56,59,71,79,90,100,107,113,126,134,141,149,154,168,171,179,323,331,335,345,354,366,374,379,393,399,405,418,422,437,439,468,603,614,623,632,639,652,656,662,669,683,692,697,703,719,728,734,740,754,760,767,778,781,791,799,806,817,826,835,842,853,865,873,878,888,897,902,913,919,928,938,949,951,965,975,984,987,1000,1008,1016,1021,1029,1043,1052,1054,1067,1073,1083,1088,1096,1107,1119,1127,1134,1144,1153,1158,1169	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,17,28,34,45,58,61,71,80,86,102,103,119,124,131,141,146,161,165,173,316,320,329,340,344,359,365,370,381,392,398,403,417,426,432,445,596,609,613,621,627,641,646,652,664,671,681,688,700,708,717,727,737,739,748,760,765,776,787,793,800,806,818,826,836,846,855,858,872,882,887,899,907,914,918,933,935,942,957,964,971,984,988,994,1003,1018,1027,1030,1038,1050,1060,1070,1072,1079,1092,1102,1112,1114,1126,1135,1144,1155,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,29,34,47,53,61,74,80,87,100,107,119,122,128,140,152,154,162,178,315,320,334,343,345,354,364,377,379,386,399,405,420,427,435,440,596,603,614,618,629,639,645,657,668,677,679,692,700,710,718,727,730,741,747,758,768,775,782,791,798,812,822,825,833,847,856,858,870,880,882,893,901,910,920,931,939,949,955,962,973,984,989,994,1008,1013,1019,1030,1044,1048,1058,1062,1076,1079,1090,1097,1108,1118,1128,1131,1146,1153,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,33,39,47,59,61,68,79,91,98,110,112,121,136,142,150,160,167,178,314,319,327,336,346,354,362,370,382,388,399,409,415,421,433,439,600,604,611,619,634,635,646,655,668,673,684,692,703,704,714,723,736,741,746,757,765,775,788,796,803,808,816,825,834,845,856,864,873,881,890,892,904,913,917,928,934,943,955,960,969,982,985,996,1009,1017,1024,1030,1041,1048,1060,1066,1071,1079,1091,1100,1108,1113,1123,1130,1142,1151,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,31,38,44,53,61,71,77,90,97,105,112,120,128,139,150,158,170,175,316,321,331,336,346,355,364,372,382,395,396,407,420,427,429,446,599,608,617,625,631,639,645,657,665,672,683,692,702,704,718,727,733,743,753,763,766,777,782,790,802,812,818,831,833,840,854,862,872,875,883,891,905,913,923,929,937,946,957,960,973,981,988,996,1007,1015,1026,1027,1044,1045,1055,1065,1073,1083,1096,1101,1111,1119,1124,1131,1140,1150,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,28,41,50,57,59,69,85,93,101,104,115,124,132,140,149,159,162,172,317,324,333,340,346,357,364,373,386,390,399,406,415,421,434,441,596,604,611,618,627,637,649,656,664,670,683,689,697,707,716,727,733,744,751,759,770,775,783,794,803,812,820,826,832,841,854,858,868,880,889,897,906,915,921,926,939,947,951,962,972,983,989,994,1009,1011,1027,1035,1043,1052,1059,1068,1071,1084,1089,1096,1110,1117,1129,1131,1143,1153,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,33,40,48,52,65,74,77,86,96,110,117,120,132,139,152,161,167,179,316,325,335,338,349,360,365,370,381,392,401,406,412,426,433,441,456,606,615,626,633,636,646,656,663,675,683,693,700,705,712,726,730,742,751,757,771,779,784,793,801,811,816,827,835,840,855,860,865,874,888,899,902,908,924,926,941,946,958,964,975,983,992,996,1007,1012,1027,1028,1040,1048,1054,1064,1071,1084,1094,1096,1105,1116,1123,1136,1142,1153,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,33,34,43,55,64,70,79,87,96,104,113,123,135,137,151,154,169,174,314,319,331,340,348,358,366,373,381,393,395,406,417,427,434,442,600,602,615,624,635,643,647,658,663,672,685,693,698,710,718,722,734,741,747,757,771,779,780,795,800,814,815,823,837,844,849,864,865,882,885,895,903,913,921,928,941,943,956,965,968,984,992,1001,1010,1016,1025,1030,1044,1051,1059,1066,1072,1083,1094,1100,1106,1118,1126,1132,1146,1147,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,33,34,49,58,61,74,78,88,98,104,117,127,133,144,146,161,166,176,315,326,333,339,347,360,365,372,378,388,403,405,414,423,430,445,462,606,612,626,628,641,645,660,666,669,685,691,699,711,719,728,731,745,749,762,763,778,780,792,801,808,815,830,835,840,854,864,871,880,884,893,902,909,922,933,940,945,959,962,970,979,987,998,1008,1019,1026,1033,1037,1045,1055,1068,1073,1082,1096,1100,1108,1114,1125,1136,1145,1148,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,28,41,48,57,63,73,82,87,95,105,111,119,130,142,151,158,162,173,183,324,334,335,346,354,364,375,385,394,402,409,416,425,437,446,600,603,610,621,632,637,645,657,661,676,682,692,695,711,718,723,732,741,749,757,769,773,787,794,805,814,818,826,837,844,851,864,868,879,885,892,901,916,918,928,938,950,953,959,973,981,988,998,1007,1018,1021,1031,1044,1050,1055,1062,1073,1080,1095,1099,1105,1114,1123,1134,1146,1152,1158,1165,1178	1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,9,20,33,36,50,51,60,71,80,89,94,103,113,123,133,141,152,157,167,175,316,324,331,336,347,355,366,376,383,389,402,409,412,426,434,437,469,604,616,618,633,640,643,657,668,671,684,690,700,707,714,724,737,743,754,757,763,774,788,791,802,812,820,824,838,847,850,865,868,875,883,893,907,914,923,930,941,946,953,963,971,977,988,997,1010,1012,1025,1030,1038,1050,1053,1067,1078,1085,1091,1097,1107,1117,1124,1138,1141,1152,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,27,36,50,57,65,76,83,86,94,110,112,127,129,143,147,158,162,178,315,323,334,340,347,354,368,374,381,389,402,411,414,421,429,440,456,605,615,625,629,638,650,655,663,674,681,693,699,707,716,725,729,743,752,762,765,779,780,791,799,811,818,828,838,847,855,862,872,879,888,897,899,908,923,931,937,948,955,965,976,979,986,997,1007,1019,1022,1028,1039,1049,1053,1068,1076,1081,1093,1101,1107,1117,1127,1131,1144,1151,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,31,40,42,58,61,75,84,92,98,104,113,125,132,144,147,162,164,173,316,319,333,337,351,360,361,377,378,392,402,407,413,425,433,439,600,608,617,625,628,639,645,659,667,675,680,688,696,704,718,726,734,744,749,758,771,777,785,797,803,805,821,823,834,842,850,859,867,881,883,899,905,912,919,925,941,945,954,960,972,982,990,994,1005,1018,1024,1031,1041,1050,1054,1068,1075,1082,1091,1097,1104,1121,1123,1133,1141,1155,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,31,36,45,57,66,70,82,88,96,102,111,126,131,136,146,160,163,173,317,325,327,337,349,357,364,376,384,393,395,405,417,424,433,445,462,601,613,620,631,640,646,656,661,676,680,686,702,708,716,722,735,739,748,762,765,774,785,790,803,810,820,823,837,842,852,859,870,879,889,896,906,912,922,925,941,947,954,961,971,982,993,999,1003,1012,1027,1029,1036,1046,1057,1067,1075,1083,1088,1101,1110,1121,1125,1136,1145,1150,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,28,37,48,51,64,71,81,85,98,105,116,127,133,145,146,155,169,171,180,325,331,337,348,356,365,370,382,389,395,403,414,427,433,441,600,601,612,625,629,640,646,660,661,670,683,687,699,706,712,723,731,737,747,755,769,777,780,791,805,808,819,829,838,848,850,857,871,878,884,892,901,913,922,928,940,949,956,960,974,981,987,997,1005,1013,1025,1031,1036,1052,1057,1063,1073,1079,1094,1098,1112,1116,1127,1133,1143,1153,1161,1167	1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
8,13,23,33,41,44,54,68,75,78,92,101,107,116,121,132,144,153,155,162,173,316,323,327,340,346,360,365,374,386,387,401,410,418,426,436,441,465,601,612,623,628,640,648,654,665,672,681,694,695,706,716,726,735,738,750,759,770,778,785,789,805,809,815,827,834,844,853,860,867,877,885,898,907,912,921,931,938,949,952,959,975,977,993,996,1007,1018,1026,1035,1043,1049,1057,1067,1073,1081,1089,1104,1111,1119,1125,1133,1144,1149,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,28,36,50,59,61,76,79,92,100,110,116,126,129,139,149,156,168,177,314,326,328,337,351,360,365,375,386,387,395,410,415,424,437,441,599,606,611,621,628,642,644,655,660,674,682,693,699,703,716,723,735,738,752,760,763,776,784,793,800,808,820,826,834,845,856,863,867,875,891,899,902,909,923,926,934,947,952,967,969,984,987,1001,1004,1015,1023,1035,1039,1046,1056,1070,1076,1085,1092,1096,1105,1114,1128,1132,1143,1149,1157,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,28,37,48,52,60,72,83,90,95,103,115,120,133,137,147,161,165,171,315,320,331,335,350,355,366,373,381,393,398,409,419,427,433,446,600,607,613,621,626,639,652,654,664,675,682,689,698,708,714,722,734,738,752,761,767,773,781,794,804,806,819,831,833,840,850,859,868,881,886,899,904,912,917,932,935,944,955,966,970,983,990,1001,1009,1011,1026,1030,1041,1051,1059,1064,1078,1087,1090,1104,1105,1114,1125,1134,1140,1151,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,20,30,36,44,54,61,74,78,89,98,102,118,128,129,136,149,154,166,178,316,325,333,343,345,357,368,375,381,387,403,411,419,429,430,441,448,608,614,619,633,641,643,659,665,676,678,689,695,709,713,724,736,740,749,760,767,779,785,795,802,809,816,827,834,844,849,862,872,876,886,899,903,916,919,929,935,950,958,966,970,979,986,995,1007,1019,1020,1035,1040,1053,1054,1068,1073,1080,1095,1097,1106,1116,1129,1131,1144,1152,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,32,38,50,59,64,70,81,91,97,108,119,127,133,141,149,160,164,177,313,322,328,341,347,354,366,377,378,393,397,406,414,425,437,445,449,602,615,623,630,636,649,660,662,674,682,692,699,711,717,725,731,740,750,757,764,778,788,792,802,813,818,830,833,841,850,864,872,877,885,893,904,912,921,927,940,946,951,960,976,978,988,1001,1004,1014,1025,1029,1043,1049,1058,1067,1074,1083,1089,1099,1112,1117,1124,1134,1146,1147,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,32,35,50,55,61,73,77,91,96,106,112,123,130,139,153,154,170,178,313,325,327,340,345,360,362,373,381,389,395,408,418,424,436,440,597,605,614,622,628,640,648,660,661,675,680,692,697,711,712,722,734,738,751,761,770,775,784,792,803,813,817,831,836,843,850,861,873,882,887,899,901,910,918,932,936,944,958,964,969,981,993,1001,1004,1011,1021,1031,1043,1048,1056,1067,1071,1087,1092,1103,1110,1114,1127,1137,1139,1152,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,26,40,48,59,60,70,77,90,94,106,113,126,132,139,150,159,170,172,317,326,330,340,352,357,365,369,381,394,396,404,419,424,430,439,598,605,610,622,633,641,645,655,666,677,678,686,698,704,714,720,730,744,754,755,768,778,783,796,798,808,815,826,832,848,852,863,872,881,884,894,905,916,918,926,935,945,957,962,969,982,991,994,1008,1016,1019,1030,1040,1052,1060,1066,1077,1080,1088,1096,1112,1119,1122,1135,1138,1153,1156,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,33,42,50,51,63,68,83,85,98,105,114,122,133,138,149,154,164,174,314,326,335,338,350,357,361,369,384,390,400,404,417,422,434,445,468,603,615,622,629,637,646,658,664,674,679,692,698,708,712,726,737,738,749,759,765,771,784,790,804,811,814,828,837,840,850,857,869,874,888,891,902,912,922,926,941,946,956,961,974,977,993,994,1008,1016,1020,1030,1044,1049,1060,1069,1074,1083,1090,1096,1105,1118,1124,1138,1145,1153,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,33,38,50,52,67,76,80,92,94,103,117,125,135,140,147,159,164,178,315,326,334,342,348,354,363,375,379,391,399,404,417,421,437,446,455,602,617,621,634,635,647,659,665,673,678,688,695,707,717,726,732,744,751,755,764,774,784,795,799,814,817,830,839,842,849,861,866,881,890,897,908,911,917,932,936,950,956,962,974,976,990,998,1008,1012,1024,1028,1042,1048,1057,1065,1077,1085,1088,1100,1105,1113,1127,1137,1142,1153,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,31,39,48,57,67,73,85,88,99,109,119,123,128,138,149,161,165,175,314,320,327,342,350,352,361,370,383,391,396,407,415,427,435,441,455,601,610,618,634,641,649,652,667,676,678,689,698,704,714,723,735,745,752,759,769,772,783,791,803,810,818,828,838,845,852,857,873,877,889,894,900,913,922,925,938,946,956,963,972,983,991,998,1009,1014,1021,1029,1042,1050,1053,1068,1071,1085,1093,1098,1108,1116,1123,1135,1146,1155,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,17,29,41,47,55,64,72,77,91,100,105,116,122,129,143,147,158,166,174,314,324,330,339,349,359,368,369,381,391,395,404,412,427,436,442,599,606,616,618,628,642,644,653,666,674,684,694,702,710,716,726,730,740,750,761,764,775,786,795,802,806,817,826,834,843,851,864,869,876,886,898,900,913,920,928,939,950,953,962,976,980,985,998,1006,1012,1022,1030,1043,1051,1057,1063,1073,1080,1088,1098,1113,1118,1129,1130,1146,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,23,31,42,50,57,62,75,83,89,99,110,111,124,128,143,150,160,166,171,313,322,334,336,346,356,366,376,385,388,395,406,414,426,436,446,467,601,613,625,627,638,646,653,663,674,678,694,696,707,716,726,731,745,752,757,768,772,782,795,800,813,822,826,835,843,856,860,872,874,882,899,901,913,920,930,936,950,957,965,969,984,986,1001,1006,1014,1020,1036,1037,1047,1060,1064,1075,1082,1088,1096,1104,1113,1126,1131,1141,1147,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,25,41,50,57,67,68,81,90,94,109,116,127,135,139,149,153,162,174,194,323,326,338,348,353,365,371,385,390,402,411,417,424,435,444,598,603,611,625,628,643,651,657,661,672,680,687,697,704,713,720,737,739,752,759,770,776,780,795,799,812,822,826,834,841,852,865,866,878,883,895,905,911,919,926,938,944,951,962,968,984,989,998,1007,1011,1023,1032,1042,1047,1053,1069,1070,1081,1092,1100,1108,1120,1126,1135,1139,1149,1158,1170,1177	1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,17,30,39,43,52,60,72,82,88,94,107,111,127,128,140,151,160,169,171,183,320,329,343,345,352,369,371,385,394,399,409,419,421,432,446,600,606,614,621,632,635,648,653,668,675,679,689,699,707,714,727,729,737,750,757,768,777,784,796,802,810,815,824,835,847,855,864,870,881,883,896,907,912,919,929,941,943,952,965,973,983,987,999,1009,1014,1024,1033,1039,1049,1057,1064,1074,1080,1093,1101,1110,1121,1123,1130,1144,1153,1160,1171,1176	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,14,17,26,39,50,52,66,76,79,86,99,106,117,124,132,142,150,156,169,174,181,326,332,340,345,359,367,375,385,394,398,410,418,421,430,444,458,607,614,626,633,641,651,657,668,670,679,687,703,707,717,723,737,741,746,759,771,776,783,793,801,812,822,829,837,841,852,860,868,879,884,899,908,915,923,933,936,948,955,963,971,980,985,999,1008,1014,1024,1036,1042,1049,1060,1063,1071,1085,1095,1102,1105,1119,1129,1134,1143,1153,1164,1167,1175	1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
2,13,24,31,34,46,58,62,73,79,91,101,108,115,123,129,139,148,159,162,176,182,321,330,336,346,357,369,373,380,389,402,405,412,423,437,443,599,601,617,620,631,640,649,657,662,671,685,691,703,708,712,728,733,745,753,759,764,775,780,789,805,811,822,826,833,847,857,864,871,878,888,898,902,912,919,929,941,945,954,967,969,980,990,1000,1007,1018,1026,1035,1037,1050,1058,1066,1078,1083,1089,1096,1106,1118,1124,1134,1144,1148,1163,1167	1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,23,28,42,47,53,64,70,77,92,97,108,113,120,128,138,152,158,169,176,179,326,331,341,351,356,361,377,378,389,401,407,413,426,430,442,599,603,611,620,629,641,645,658,668,669,679,686,695,709,716,728,736,738,753,757,766,773,785,789,803,805,818,824,836,845,852,864,867,882,883,894,905,909,920,927,941,947,953,964,972,983,990,998,1010,1014,1019,1030,1040,1050,1061,1064,1073,1082,1090,1104,1110,1121,1127,1133,1145,1154,1163,1172,1176	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,24,28,36,46,55,60,69,80,90,100,106,113,120,135,138,145,161,163,176,184,319,334,338,352,353,361,371,385,394,396,410,418,427,435,442,600,606,611,620,631,643,649,658,663,671,685,689,700,708,720,724,735,742,749,761,766,777,784,793,804,806,819,826,838,843,855,860,868,881,888,898,903,910,924,930,939,948,959,961,969,979,987,994,1007,1018,1023,1030,1042,1046,1060,1067,1071,1084,1090,1096,1113,1119,1123,1130,1144,1153,1161,1170	1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
7,8,17,28,39,43,59,65,75,80,90,99,109,119,125,129,138,149,159,164,171,179,324,330,339,344,356,365,372,380,394,401,410,413,428,434,438,597,605,616,621,634,635,647,660,663,673,684,694,703,708,716,728,734,742,752,756,766,773,783,790,804,807,820,827,833,846,849,858,872,877,886,899,902,910,924,933,936,943,951,960,973,983,986,997,1005,1018,1022,1028,1039,1045,1056,1068,1070,1083,1092,1101,1108,1119,1126,1132,1147,1149,1160,1167	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
0,12,21,28,34,42,56,65,70,81,86,99,103,114,124,130,137,151,155,168,171,182,318,334,340,350,353,365,370,382,387,402,405,420,429,436,444,470,605,609,620,631,637,644,656,667,676,677,692,698,708,717,728,736,741,746,755,770,780,783,795,804,811,817,826,839,842,851,862,868,882,886,897,899,912,920,932,936,948,954,960,970,984,991,996,1008,1015,1020,1032,1037,1053,1059,1070,1077,1085,1093,1103,1106,1117,1127,1132,1147,1153,1163,1170,1176	1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,23,31,41,50,51,66,69,78,89,97,102,112,126,133,141,146,161,170,172,313,321,333,336,349,352,368,371,378,393,397,411,414,425,431,444,457,605,613,623,629,642,645,655,664,677,678,689,697,708,718,727,736,741,753,761,765,779,785,791,802,809,818,830,833,847,852,860,873,875,889,899,902,913,919,926,937,948,953,964,969,983,991,994,1010,1015,1023,1031,1041,1046,1061,1068,1070,1087,1088,1104,1109,1114,1124,1135,1144,1149,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,33,38,50,57,61,72,84,90,97,104,117,119,130,142,149,160,165,171,185,319,328,336,351,354,362,375,380,391,396,406,414,421,433,445,598,604,610,621,630,642,645,659,664,671,681,687,695,707,715,728,733,745,747,757,769,774,785,791,802,808,815,823,837,844,856,862,873,879,886,895,904,915,925,928,936,951,955,961,973,977,987,995,1004,1015,1022,1035,1040,1045,1054,1063,1079,1086,1095,1097,1112,1114,1125,1136,1141,1154,1156,1168,1176	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,10,22,27,35,46,56,66,68,84,93,100,108,111,126,136,141,150,161,165,175,183,323,334,339,347,352,364,374,379,394,402,410,420,422,433,443,597,602,610,625,632,639,647,653,663,677,678,693,695,707,719,721,735,741,751,756,765,779,785,791,797,810,818,823,837,844,853,865,870,874,884,892,906,914,922,931,939,947,953,963,971,984,987,996,1005,1011,1022,1029,1044,1049,1057,1069,1073,1086,1090,1103,1110,1118,1129,1132,1145,1150,1162,1165,1174	0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,13,20,30,40,51,55,61,74,80,91,101,106,114,127,136,138,145,160,167,176,185,323,330,343,348,359,364,371,378,392,397,407,415,426,433,446,599,603,612,623,629,640,646,657,661,673,682,690,702,705,717,722,731,740,748,756,769,776,788,790,802,811,817,824,831,842,848,857,866,878,889,899,901,912,923,932,940,948,952,965,970,982,989,994,1005,1011,1026,1033,1039,1046,1054,1063,1071,1085,1094,1101,1112,1121,1129,1130,1140,1150,1159,1165,1176	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,16,25,32,40,46,57,64,76,81,88,94,109,113,125,130,142,147,156,168,179,181,324,327,340,347,358,367,376,384,389,397,409,413,424,437,444,598,604,610,619,633,638,644,654,666,670,681,691,700,703,712,726,733,740,750,758,770,772,785,796,797,808,822,823,835,846,854,858,870,882,887,899,900,910,920,926,934,950,957,962,971,978,985,999,1003,1014,1027,1033,1036,1047,1061,1069,1074,1079,1088,1097,1111,1113,1122,1133,1141,1154,1156,1165	0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1
0,8,23,33,34,46,51,67,68,81,91,96,104,117,121,136,142,149,155,164,171,183,325,328,335,347,352,366,375,384,391,400,404,414,426,432,439,598,607,610,625,630,639,650,656,664,673,681,690,699,710,715,721,735,740,747,761,768,776,781,789,804,813,819,826,837,846,851,861,871,876,883,893,902,912,924,928,936,950,952,963,973,979,991,1001,1002,1012,1021,1032,1043,1045,1059,1064,1074,1079,1089,1104,1108,1113,1123,1135,1146,1149,1161,1173,1178	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,25,26,37,46,56,59,70,78,91,100,105,114,120,128,138,148,158,167,174,187,325,328,340,346,354,367,374,379,394,403,405,417,424,429,445,463,602,612,621,627,643,652,660,667,676,681,687,702,711,713,724,734,742,747,755,771,773,783,797,799,809,818,830,835,843,854,860,868,879,890,896,907,914,920,932,936,948,957,959,970,980,990,1000,1010,1012,1027,1031,1041,1050,1059,1066,1072,1085,1094,1096,1105,1121,1122,1133,1142,1154,1159,1165	1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,9,21,30,42,46,58,60,70,83,85,94,104,114,120,134,141,151,161,165,174,315,324,335,336,348,355,366,372,380,391,399,411,416,424,432,443,449,605,611,622,632,641,652,659,666,677,685,693,700,708,715,726,735,745,750,762,771,779,784,793,798,814,818,830,834,845,852,862,865,875,887,898,907,909,921,928,935,944,957,965,975,978,993,995,1009,1018,1023,1033,1042,1046,1060,1069,1076,1082,1090,1102,1108,1120,1125,1138,1140,1152,1156,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,33,35,45,54,66,69,80,89,100,105,112,120,134,137,146,153,168,178,314,319,328,343,348,353,364,376,378,389,402,403,415,429,434,444,596,601,610,619,634,636,652,655,664,674,684,693,702,711,715,725,737,745,748,757,765,780,786,796,798,813,820,827,833,842,856,859,865,875,890,892,900,915,925,927,941,946,957,966,973,977,992,997,1002,1011,1026,1030,1036,1048,1061,1065,1071,1080,1093,1098,1112,1115,1128,1130,1142,1148,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,30,36,47,57,64,75,83,88,95,103,112,126,134,141,145,157,162,175,314,320,331,343,348,352,361,376,384,389,395,407,412,426,432,445,598,604,616,620,634,642,647,659,667,677,685,688,699,709,715,728,736,742,746,756,769,778,781,793,802,806,816,827,833,841,856,857,865,878,883,895,907,910,924,927,936,946,952,961,970,984,989,1002,1004,1016,1020,1030,1038,1050,1058,1068,1076,1086,1088,1104,1107,1120,1126,1136,1139,1153,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,28,41,45,58,64,70,78,87,102,105,111,119,132,138,151,154,166,177,315,320,335,342,351,352,365,377,380,390,400,411,415,425,432,443,599,609,617,620,629,641,644,653,665,670,683,687,698,703,718,725,732,741,754,762,764,772,787,796,800,814,818,829,833,847,854,858,869,878,889,896,906,914,922,927,934,950,954,961,975,983,990,998,1002,1014,1020,1034,1041,1049,1060,1065,1077,1085,1093,1097,1105,1118,1126,1134,1141,1153,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,27,36,43,56,60,73,79,91,98,110,116,124,128,138,147,161,162,172,317,325,332,338,350,359,365,370,384,390,398,408,420,427,434,442,466,608,617,623,626,638,648,656,667,674,685,690,703,704,718,723,733,745,748,755,763,777,788,789,805,812,816,828,836,845,850,860,873,876,889,895,901,909,922,931,940,943,955,964,972,978,989,995,1004,1013,1020,1033,1039,1052,1058,1064,1071,1080,1091,1103,1108,1120,1122,1136,1146,1152,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,32,39,48,51,61,75,80,90,99,109,118,127,128,136,146,155,169,173,315,319,329,335,348,352,361,372,382,393,398,411,420,422,431,439,467,603,611,626,627,638,648,653,665,677,685,693,697,710,712,727,730,743,747,759,764,774,780,790,801,811,815,827,836,845,856,863,873,880,882,897,902,911,918,933,937,947,957,967,976,979,990,1000,1009,1016,1023,1030,1037,1052,1055,1067,1072,1081,1092,1097,1112,1113,1127,1134,1145,1155,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,17,26,42,47,55,66,70,83,90,94,110,115,125,134,138,146,155,168,178,316,319,328,342,347,356,369,374,381,391,396,410,417,422,437,445,598,605,611,623,629,639,644,652,666,671,684,687,698,705,714,723,729,740,749,759,767,776,788,791,797,812,814,823,833,843,853,861,870,874,888,894,900,916,919,929,940,945,952,964,976,982,989,999,1010,1011,1025,1032,1039,1053,1055,1063,1078,1082,1095,1103,1110,1116,1128,1138,1141,1148,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,19,32,41,43,51,60,76,81,93,98,109,119,125,136,141,149,158,165,179,313,325,331,341,349,357,368,377,378,389,402,407,414,425,433,438,461,606,611,619,629,640,651,652,664,671,680,691,696,710,717,728,736,740,748,757,769,772,780,796,803,811,815,826,839,841,851,865,866,876,886,893,905,911,917,932,942,946,957,959,972,978,990,1002,1006,1012,1026,1034,1038,1045,1056,1066,1078,1087,1089,1099,1106,1117,1124,1130,1142,1155,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,33,38,49,55,62,70,82,92,100,104,116,126,135,138,145,162,167,177,179,319,327,342,348,359,361,372,382,387,399,410,418,428,434,439,600,607,615,622,626,642,650,653,665,671,678,688,697,710,712,723,733,738,750,760,764,777,781,789,804,813,820,830,838,845,850,857,867,881,886,893,901,916,924,927,935,950,957,967,976,978,988,995,1007,1018,1027,1033,1041,1052,1058,1070,1076,1084,1087,1098,1112,1117,1129,1137,1145,1148,1158,1171,1175	1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
4,12,20,30,38,47,54,66,74,83,86,102,108,117,120,135,144,147,159,163,170,317,324,329,340,348,353,366,377,382,390,402,409,415,427,434,446,597,608,610,623,631,640,651,659,667,671,685,693,699,710,718,721,732,739,754,758,765,779,787,796,800,813,822,827,834,844,854,865,868,877,886,892,907,909,924,928,939,943,952,961,968,981,986,1001,1009,1018,1023,1029,1043,1052,1059,1068,1077,1082,1091,1102,1106,1118,1129,1130,1145,1154,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,33,41,44,54,67,75,82,90,96,108,111,124,133,142,145,160,162,174,315,323,333,339,344,356,366,371,381,386,398,412,419,421,431,444,449,606,611,623,628,642,649,653,666,671,681,692,695,705,718,721,735,743,749,759,767,777,787,790,803,806,819,826,833,841,853,859,873,878,889,892,905,912,917,933,934,945,953,962,973,979,992,999,1005,1013,1027,1034,1044,1051,1057,1068,1072,1083,1090,1103,1108,1114,1129,1131,1141,1148,1157,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,17,27,38,48,56,60,71,83,91,94,109,112,119,134,145,147,158,164,172,314,326,334,341,352,358,362,372,382,394,397,411,416,424,437,439,600,605,613,625,633,639,647,658,661,672,677,692,700,710,717,727,730,740,753,756,768,777,783,796,803,808,819,830,833,843,857,862,874,879,888,899,901,910,917,930,935,949,956,959,973,984,990,994,1003,1014,1027,1034,1040,1053,1058,1068,1076,1085,1092,1096,1105,1118,1129,1138,1140,1152,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,33,39,44,51,65,76,82,90,95,107,111,121,130,142,150,156,164,174,318,319,333,343,351,355,367,376,386,389,401,405,418,421,430,442,598,604,611,618,630,635,648,653,661,675,684,687,698,709,715,721,730,746,751,762,771,774,782,793,798,809,820,830,832,846,854,861,869,881,886,894,902,914,919,928,936,947,953,963,974,980,988,994,1006,1016,1022,1029,1039,1047,1057,1062,1078,1086,1088,1102,1111,1120,1125,1131,1145,1153,1164,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,21,31,38,45,56,66,74,84,88,93,103,112,121,134,143,152,158,166,170,183,325,332,337,351,358,366,370,380,393,401,411,412,428,429,443,597,607,616,623,632,642,648,653,664,671,685,686,698,709,718,724,735,744,752,760,766,774,781,793,804,807,822,825,836,844,848,865,872,876,889,895,903,916,917,933,941,949,952,963,974,984,988,997,1010,1016,1022,1028,1037,1046,1058,1068,1073,1086,1090,1101,1111,1118,1121,1137,1146,1149,1164,1166,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,16,17,28,38,46,52,65,71,80,88,99,104,119,121,129,140,146,161,168,174,318,322,327,343,351,353,367,376,384,386,396,404,417,421,433,444,600,604,617,625,632,640,646,657,666,673,683,689,696,704,712,727,729,738,748,756,766,775,780,796,799,811,821,827,839,847,849,863,867,875,882,895,906,913,924,930,937,942,955,961,975,980,989,994,1008,1016,1023,1027,1038,1046,1057,1068,1075,1084,1093,1100,1111,1116,1128,1135,1144,1155,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,28,40,42,57,63,71,83,87,98,108,112,124,134,137,153,155,164,172,313,320,333,341,352,353,362,375,386,394,399,411,419,423,433,443,599,608,616,619,629,640,644,658,664,673,684,690,703,706,712,722,731,745,754,757,767,775,782,791,800,811,821,823,839,847,856,857,869,881,889,898,902,912,921,927,936,943,956,963,972,981,989,996,1004,1014,1023,1027,1040,1051,1056,1068,1072,1084,1089,1096,1111,1114,1124,1135,1142,1155,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,32,34,48,55,64,68,83,88,98,109,113,120,136,141,153,158,163,173,316,322,334,341,349,355,363,373,382,394,395,405,412,422,435,440,597,604,611,626,631,635,651,654,664,670,681,691,694,703,719,728,736,741,747,762,767,779,786,789,805,808,817,829,831,846,855,860,866,876,885,897,905,910,923,925,941,944,955,965,976,978,990,997,1008,1017,1027,1029,1041,1047,1060,1062,1073,1079,1088,1099,1107,1113,1124,1132,1139,1154,1161,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,30,34,44,56,61,75,80,86,100,105,113,126,134,140,151,159,167,173,313,323,331,340,349,357,363,370,380,388,399,411,416,428,431,443,471,606,615,622,629,637,648,659,660,675,684,694,696,706,716,727,734,741,747,759,764,774,781,797,799,807,822,831,835,840,852,860,868,880,887,893,902,908,917,932,941,945,952,963,973,979,988,1000,1005,1019,1025,1033,1038,1050,1056,1063,1070,1079,1095,1100,1104,1120,1124,1134,1139,1151,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,28,34,44,58,62,72,81,93,96,102,118,119,135,142,146,161,169,178,317,322,327,339,349,355,368,377,380,392,402,410,414,421,434,443,468,605,614,619,634,636,644,653,666,674,678,687,695,710,717,721,734,742,752,759,768,772,786,789,801,806,817,823,831,846,853,861,867,874,887,894,901,915,924,930,934,945,952,960,969,985,989,994,1010,1016,1025,1035,1039,1050,1059,1068,1072,1083,1091,1101,1113,1119,1128,1138,1139,1149,1158,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,31,38,44,59,64,68,81,93,102,108,112,124,135,138,146,162,165,173,313,324,334,337,350,357,368,372,379,391,396,410,418,424,437,439,597,603,610,625,631,637,651,659,664,677,683,690,695,706,712,727,732,742,752,759,765,773,783,795,801,810,817,831,832,843,855,861,874,877,888,895,906,913,921,933,934,947,956,966,969,982,988,996,1009,1015,1023,1032,1041,1048,1056,1068,1072,1084,1087,1096,1107,1121,1122,1131,1139,1155,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,17,23,33,40,43,54,60,71,80,91,101,107,114,120,134,139,151,158,164,178,317,323,333,340,351,357,362,371,384,387,400,404,414,426,435,441,470,607,617,626,630,635,651,652,662,670,679,694,695,711,712,722,736,737,751,760,765,774,784,793,803,806,819,823,834,847,853,865,871,879,888,891,901,911,921,930,934,944,959,964,969,977,989,999,1010,1014,1023,1031,1038,1048,1060,1069,1071,1086,1094,1098,1109,1113,1122,1138,1143,1155,1164,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,32,40,44,52,66,76,77,90,98,102,118,125,133,143,147,160,169,171,313,319,332,341,348,355,368,377,381,394,395,408,420,422,430,441,600,602,615,626,631,637,650,659,664,672,684,691,697,709,717,720,734,745,751,760,770,778,788,789,801,809,817,826,833,841,855,859,865,881,887,897,902,915,919,925,935,945,958,961,976,980,990,994,1008,1018,1021,1029,1039,1052,1060,1063,1074,1083,1089,1097,1111,1116,1122,1131,1141,1151,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,29,34,48,54,66,71,82,92,100,109,118,119,131,141,152,159,164,171,317,324,334,340,346,359,364,374,379,393,395,409,419,425,433,443,461,604,616,622,632,642,649,654,667,669,683,693,698,710,713,721,736,738,750,758,771,773,782,792,801,806,821,828,835,842,853,860,865,876,884,892,900,911,922,930,941,948,953,963,973,982,986,997,1009,1013,1021,1033,1037,1051,1059,1063,1073,1082,1089,1099,1108,1119,1123,1135,1140,1150,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,31,42,45,54,63,74,84,89,101,109,113,124,128,142,148,157,165,170,313,320,327,335,345,358,365,370,379,391,401,405,420,427,429,446,598,607,611,620,632,639,646,656,668,670,685,687,695,711,716,721,732,744,749,759,763,778,786,795,803,808,816,830,833,847,852,858,868,877,883,897,900,914,922,927,940,942,953,964,969,983,992,994,1002,1013,1024,1029,1038,1047,1059,1062,1075,1083,1095,1102,1111,1118,1128,1134,1144,1155,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,22,30,39,48,55,62,69,84,86,98,110,115,120,131,138,146,158,166,176,314,324,331,335,346,353,365,372,378,394,399,404,420,421,430,441,452,608,611,623,635,641,651,658,666,677,682,688,697,704,716,721,734,737,748,758,767,772,780,789,804,812,821,825,837,841,849,860,868,879,888,892,901,913,923,929,936,943,953,959,975,984,989,996,1003,1018,1027,1028,1037,1045,1060,1069,1072,1086,1094,1098,1109,1114,1124,1134,1145,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,28,39,44,58,67,75,78,87,100,103,112,123,130,144,148,153,167,172,317,326,328,337,352,356,365,377,384,390,397,411,418,427,430,445,600,604,612,625,629,641,648,656,665,677,683,692,695,706,715,721,730,739,749,760,765,775,784,789,797,809,818,824,839,842,856,862,865,880,887,895,903,914,919,927,935,948,959,963,971,983,985,998,1004,1016,1023,1034,1044,1047,1053,1066,1079,1080,1088,1100,1112,1119,1124,1133,1140,1148,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,28,38,45,57,62,69,77,89,101,110,117,119,136,144,150,161,164,176,181,323,334,343,345,361,368,370,380,392,397,408,414,427,430,439,599,603,615,618,631,639,649,655,667,670,683,692,697,708,712,723,729,744,753,755,768,772,785,793,801,810,821,831,837,843,849,858,874,875,889,896,904,911,920,933,941,946,951,965,969,977,986,996,1008,1018,1020,1030,1043,1050,1058,1066,1079,1080,1094,1101,1105,1114,1124,1133,1141,1149,1164,1170	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,17,32,34,49,55,59,71,77,90,96,105,113,120,129,141,145,160,165,176,317,319,335,342,347,353,363,376,384,390,398,405,414,425,435,442,466,605,616,622,628,639,651,657,662,673,677,687,697,704,715,727,733,740,752,759,768,774,786,792,798,812,817,830,833,844,856,858,867,877,885,896,908,915,924,930,934,943,951,961,975,984,989,999,1010,1017,1026,1036,1037,1051,1056,1063,1073,1086,1089,1100,1106,1113,1126,1131,1141,1150,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,17,29,37,49,51,62,75,77,87,95,107,116,119,132,140,147,160,166,171,187,323,333,337,346,355,361,378,381,387,396,409,414,425,434,440,597,609,610,621,633,637,645,654,668,674,678,688,695,703,713,723,729,738,752,760,767,774,788,792,801,812,815,828,835,845,851,857,873,880,888,894,902,912,918,926,941,946,951,963,972,980,989,995,1008,1017,1026,1031,1043,1045,1060,1064,1076,1079,1090,1102,1104,1121,1122,1135,1147,1153,1156,1168	1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,22,26,41,46,59,61,69,84,93,100,108,118,119,131,144,153,154,162,171,185,323,333,336,346,357,366,377,380,393,395,407,419,422,431,442,466,602,613,619,631,640,647,656,663,672,682,692,698,709,718,724,733,743,746,756,764,776,788,794,799,814,819,823,838,843,856,863,866,876,887,893,908,916,917,930,936,942,953,961,974,980,987,994,1004,1015,1022,1033,1037,1051,1059,1065,1070,1086,1092,1101,1109,1116,1123,1134,1146,1150,1163,1166,1176	1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,10,24,29,37,47,59,63,73,78,89,98,110,117,127,128,143,152,156,163,177,189,321,329,340,347,359,362,372,385,391,398,406,414,427,436,441,463,606,613,621,629,642,643,653,661,673,683,693,698,704,718,729,736,742,753,757,770,776,787,789,804,809,817,828,833,843,856,860,870,880,883,894,907,916,922,925,934,949,958,965,975,982,989,995,1009,1019,1025,1035,1037,1050,1061,1063,1078,1079,1095,1102,1108,1121,1122,1132,1139,1151,1159,1169	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,23,25,35,45,54,65,68,85,91,100,109,113,122,133,143,147,160,162,177,184,322,331,339,349,354,369,376,381,388,401,407,412,427,433,443,596,601,613,619,634,643,649,657,663,674,679,689,698,704,717,724,730,739,750,755,765,772,782,794,800,811,818,825,837,840,848,864,866,878,882,894,904,909,917,928,939,947,954,964,974,979,992,1000,1003,1013,1027,1030,1038,1051,1053,1066,1070,1083,1094,1097,1105,1115,1128,1131,1147,1154,1156,1169	0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,23,27,42,47,51,66,73,78,88,94,103,113,122,134,137,145,155,170,172,187,325,330,339,344,354,363,374,378,394,397,406,416,423,431,441,600,608,614,624,628,636,651,655,663,677,682,693,701,707,712,728,734,742,754,761,769,776,786,791,801,806,820,830,837,841,852,864,873,879,890,892,902,911,925,931,936,950,956,962,971,982,991,994,1005,1015,1023,1035,1038,1048,1054,1069,1075,1086,1089,1097,1108,1119,1127,1134,1146,1152,1162,1166,1177	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0
7,9,20,26,40,48,56,60,70,84,88,96,106,118,123,128,142,152,155,167,172,189,326,331,336,346,353,365,371,385,393,397,409,418,422,433,439,450,604,610,622,633,637,648,655,666,670,681,688,699,711,714,722,733,738,754,760,765,771,782,793,803,806,820,828,833,841,853,862,866,879,884,893,901,914,920,925,938,949,959,963,975,984,988,998,1009,1017,1023,1028,1042,1053,1054,1069,1077,1080,1094,1098,1110,1119,1126,1136,1139,1150,1161,1166	0,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
4,13,19,30,34,44,59,65,75,80,90,99,107,118,124,135,141,147,157,168,171,317,323,331,338,349,356,365,378,381,390,402,405,416,421,435,439,596,606,610,622,629,635,650,653,664,677,685,692,698,707,713,721,734,740,753,761,766,777,780,795,801,813,821,826,834,847,854,859,869,880,886,894,907,909,918,930,934,942,955,964,975,982,985,1001,1003,1015,1027,1029,1042,1048,1055,1065,1078,1081,1094,1098,1104,1121,1128,1133,1145,1153,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,26,39,50,55,62,71,83,86,101,104,115,125,131,139,151,158,168,174,183,320,331,342,349,356,365,377,383,387,402,411,418,422,437,438,454,601,612,619,631,640,649,659,663,673,679,690,699,708,717,725,729,742,753,758,766,777,786,791,804,811,815,823,838,843,849,859,868,880,886,891,902,912,919,933,936,945,956,963,974,976,992,1000,1006,1011,1027,1035,1042,1052,1055,1069,1074,1082,1093,1098,1106,1115,1129,1136,1143,1148,1163,1167	1,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,13,20,27,38,48,57,63,73,81,86,96,106,112,122,134,141,148,159,163,176,181,322,331,335,352,358,367,370,383,394,399,409,419,428,434,437,468,600,617,620,630,638,647,654,668,672,678,692,695,706,719,721,732,739,748,757,764,773,786,789,805,807,814,829,837,845,853,858,866,880,885,899,903,908,920,930,941,942,954,965,969,980,988,1001,1009,1017,1027,1035,1043,1046,1056,1069,1073,1086,1093,1096,1106,1119,1122,1132,1141,1151,1156,1165,1177	1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,19,28,42,46,52,66,71,83,93,100,102,112,123,135,137,149,156,166,175,183,319,333,338,350,360,367,376,381,393,400,410,419,427,431,445,452,605,613,618,634,643,645,653,663,676,683,693,703,708,717,722,732,743,746,761,764,772,787,793,799,810,819,829,835,844,850,861,865,882,883,899,904,909,920,927,937,942,955,968,976,977,989,1002,1004,1017,1023,1031,1040,1052,1060,1068,1073,1082,1095,1102,1106,1114,1127,1136,1146,1151,1162,1170,1176	1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,18,25,40,50,53,65,71,85,90,94,110,117,123,129,143,145,159,167,178,185,321,330,339,348,360,361,374,383,394,401,409,417,421,435,444,471,606,617,620,629,641,644,653,664,671,678,690,699,703,719,725,735,745,747,761,766,774,783,789,800,810,819,824,838,847,849,857,869,881,886,894,902,910,922,927,937,949,952,965,973,982,985,1000,1008,1016,1021,1034,1039,1048,1056,1066,1072,1086,1096,1103,1104,1117,1126,1131,1139,1150,1161,1172,1174	0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,11,20,28,38,47,53,67,75,84,90,94,110,119,123,135,137,152,159,168,177,190,321,329,341,350,353,362,371,386,388,403,411,412,420,437,443,451,601,613,620,632,638,647,654,661,669,679,692,699,708,715,723,732,741,750,760,769,774,783,790,803,812,818,827,839,847,852,859,872,880,884,895,903,913,920,932,938,943,956,962,976,978,990,999,1004,1015,1024,1028,1042,1047,1061,1062,1078,1083,1090,1102,1109,1118,1125,1132,1143,1151,1159,1171	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,17,31,38,44,52,66,75,77,92,94,105,117,124,136,142,151,154,167,176,181,320,332,338,347,357,362,376,379,394,397,405,419,424,436,443,600,603,617,618,628,642,648,654,667,676,679,688,697,706,719,722,730,741,753,759,767,777,788,791,801,808,822,829,838,840,856,857,868,881,888,896,900,914,920,931,941,948,959,962,971,984,987,997,1010,1012,1023,1027,1042,1046,1055,1062,1078,1085,1089,1102,1110,1115,1129,1133,1142,1153,1157,1165,1173	1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,21,31,42,48,54,60,72,84,93,102,106,113,124,128,139,148,160,163,178,317,320,333,338,351,356,369,377,380,393,396,411,419,420,432,445,600,607,613,625,635,641,647,658,664,675,683,688,699,704,714,728,729,744,747,759,768,774,783,792,799,806,816,823,835,842,849,861,870,878,885,892,904,914,918,927,936,946,951,966,973,982,990,998,1005,1011,1025,1033,1038,1048,1057,1068,1073,1081,1096,1104,1112,1117,1124,1135,1144,1150,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,27,40,46,58,63,70,82,87,98,103,118,124,131,142,152,159,167,178,317,321,333,338,350,355,363,373,383,391,396,404,413,427,430,437,452,606,610,623,628,639,651,658,662,675,682,690,696,703,713,722,732,741,748,760,763,777,786,791,800,807,818,827,840,847,850,861,873,874,889,899,900,908,918,925,937,950,957,964,968,982,993,1001,1004,1012,1024,1028,1042,1047,1056,1065,1073,1085,1092,1098,1110,1121,1125,1136,1144,1149,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,28,42,45,56,66,68,82,86,96,106,115,126,131,142,149,157,167,173,313,323,332,343,351,357,364,370,381,391,399,409,420,424,433,443,456,602,612,623,633,635,645,660,661,675,683,686,701,706,717,720,734,742,754,756,763,773,780,789,797,806,820,829,837,842,851,862,870,877,889,899,903,909,920,926,940,945,953,962,970,985,990,995,1008,1012,1022,1029,1036,1050,1060,1064,1070,1084,1090,1098,1105,1115,1122,1134,1146,1149,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,31,41,45,58,60,69,84,87,96,110,113,126,128,136,148,156,167,177,313,326,330,335,347,354,367,369,386,388,400,408,419,428,432,445,598,608,612,622,634,638,648,656,668,673,685,694,698,706,715,722,730,738,750,762,765,772,785,789,798,811,816,828,839,843,848,861,873,880,889,892,907,915,916,925,941,948,952,966,968,984,989,1001,1005,1015,1023,1028,1042,1047,1057,1063,1071,1080,1090,1101,1110,1118,1125,1134,1146,1151,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,25,26,39,51,52,66,71,79,92,102,104,111,127,131,142,150,157,163,171,317,323,331,342,344,352,366,375,378,394,397,411,415,424,436,441,600,602,611,618,631,642,649,660,663,672,681,690,697,703,718,727,729,742,747,755,771,775,785,789,799,812,816,824,832,845,855,864,871,878,890,892,900,910,925,930,934,946,957,962,975,984,989,999,1004,1012,1027,1033,1042,1046,1056,1063,1074,1079,1088,1102,1106,1118,1128,1130,1147,1152,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,19,30,36,45,54,64,70,79,86,100,108,114,120,132,144,150,156,162,175,316,325,327,339,345,360,368,376,385,393,400,405,419,423,430,446,449,603,617,618,633,639,644,659,667,677,686,687,698,708,712,727,732,738,754,755,767,776,785,790,800,806,820,830,837,840,853,865,870,876,886,895,903,909,921,926,937,947,953,959,974,978,988,1000,1002,1011,1026,1029,1040,1045,1061,1067,1075,1083,1092,1101,1113,1115,1129,1135,1140,1154,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,34,35,47,55,64,69,85,92,98,108,118,121,130,137,147,154,164,175,316,320,328,338,346,359,361,370,386,389,396,405,417,426,432,445,597,605,610,618,634,639,651,656,665,669,681,690,697,706,718,722,731,743,752,762,767,779,780,791,802,805,818,824,835,846,856,858,873,881,886,891,906,914,922,932,941,950,959,961,970,981,990,998,1008,1016,1024,1028,1039,1049,1055,1067,1072,1081,1088,1100,1105,1118,1126,1131,1140,1149,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,26,35,51,52,64,75,80,86,95,105,117,124,132,140,148,161,163,172,316,324,334,340,345,355,364,373,379,392,396,405,412,423,433,442,600,606,609,626,629,641,650,652,668,676,682,688,698,707,717,721,731,744,747,761,770,775,787,788,797,811,822,827,834,843,855,865,874,877,890,895,904,916,923,932,938,947,953,960,970,977,985,1001,1007,1012,1023,1034,1044,1052,1056,1066,1070,1079,1090,1099,1113,1115,1127,1136,1139,1152,1164,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,30,38,45,58,62,71,79,93,97,107,114,123,131,143,153,156,170,177,196,326,327,340,350,353,366,377,385,393,403,409,416,425,434,445,599,602,613,625,628,638,645,657,666,676,682,694,701,703,719,722,732,742,752,756,766,777,781,796,798,807,820,823,839,843,856,861,873,878,890,894,904,910,920,933,941,944,957,963,975,976,986,1000,1004,1018,1023,1028,1038,1052,1060,1070,1073,1085,1088,1100,1109,1120,1129,1130,1147,1148,1160,1165,1177	1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,17,22,29,35,47,58,63,73,83,91,96,103,116,124,134,142,149,153,167,173,315,320,335,337,348,352,364,371,379,389,397,408,417,424,429,440,600,604,611,623,634,636,650,653,664,677,678,689,701,709,714,726,736,738,751,759,767,776,787,791,798,812,815,829,839,842,852,864,870,879,889,898,907,915,919,927,940,948,954,966,976,982,990,1001,1004,1016,1026,1032,1043,1051,1055,1064,1073,1082,1089,1100,1106,1117,1123,1133,1140,1147,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,27,40,50,59,60,73,77,92,99,107,116,123,133,137,151,155,164,172,313,324,331,339,351,359,366,370,378,386,398,409,418,426,435,442,450,608,614,621,634,640,648,653,665,676,684,693,697,709,719,720,729,739,753,759,766,773,781,795,802,813,822,825,839,843,849,858,872,874,887,893,907,915,924,927,939,950,954,961,968,981,990,996,1009,1013,1021,1034,1043,1047,1059,1062,1074,1085,1092,1098,1107,1116,1124,1138,1143,1149,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,26,40,49,56,67,73,77,92,99,110,118,124,132,142,145,160,169,175,318,326,332,339,345,356,362,372,381,389,397,404,418,428,430,441,598,602,611,622,631,636,643,653,665,672,680,693,698,709,714,725,731,746,753,761,766,772,784,790,798,810,821,824,838,847,851,857,868,875,889,896,901,909,917,930,941,944,955,963,975,983,991,997,1005,1012,1021,1030,1039,1048,1059,1065,1076,1081,1094,1102,1111,1121,1126,1131,1140,1149,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,25,26,37,45,56,61,71,83,90,98,105,114,122,134,140,152,155,167,171,316,324,327,338,345,353,367,372,382,394,400,408,414,424,437,445,599,608,612,620,634,637,650,656,662,675,686,692,697,709,715,726,733,745,746,756,766,774,780,795,804,812,816,824,838,844,848,862,868,877,891,897,902,914,925,931,941,947,955,968,970,980,985,999,1008,1011,1026,1036,1037,1051,1056,1068,1071,1081,1093,1096,1110,1121,1124,1130,1144,1152,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,34,42,50,51,64,68,80,85,94,104,117,120,134,138,153,160,170,172,189,322,327,338,345,353,361,372,383,393,401,406,412,422,429,440,596,600,609,623,631,641,649,659,666,672,679,690,703,710,717,724,733,739,749,755,766,772,782,795,803,811,819,825,835,840,851,859,871,877,886,897,901,914,917,931,934,947,951,965,972,983,986,1001,1006,1012,1020,1034,1041,1045,1060,1066,1073,1079,1091,1102,1109,1115,1128,1134,1143,1148,1156,1165,1175	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,18,30,41,49,52,63,70,84,91,100,106,118,127,133,137,153,156,168,172,316,322,334,340,350,352,361,375,380,390,401,407,415,423,431,438,460,609,612,622,626,635,644,660,661,675,685,693,695,709,714,726,734,740,747,755,764,778,786,788,802,812,814,824,838,840,849,864,872,880,885,896,906,916,922,926,940,943,957,965,968,977,992,997,1010,1017,1024,1032,1043,1045,1059,1067,1077,1080,1091,1096,1112,1113,1127,1136,1143,1155,1164,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,33,38,45,59,61,73,78,88,95,107,116,127,136,140,153,155,164,170,315,318,333,335,345,354,364,373,380,390,399,405,413,424,435,439,597,603,614,622,632,642,645,655,661,669,679,691,696,705,715,727,730,742,750,757,771,779,787,796,797,813,815,828,837,845,849,858,873,880,884,898,907,912,917,928,941,944,958,962,974,981,986,997,1005,1018,1024,1032,1042,1046,1058,1063,1073,1084,1092,1097,1105,1115,1125,1133,1142,1148,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,23,26,40,44,54,63,73,84,93,100,105,119,124,132,141,153,160,165,172,315,321,327,335,348,359,364,374,382,394,399,406,418,427,437,440,600,609,610,625,632,641,648,653,664,673,680,686,696,705,718,720,731,739,752,760,771,777,788,790,802,809,819,824,838,843,852,865,868,876,885,899,904,910,919,927,935,948,951,963,970,981,986,995,1002,1011,1026,1033,1041,1053,1057,1068,1076,1085,1092,1103,1109,1121,1124,1130,1141,1154,1164,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,30,38,43,54,63,72,81,88,100,104,118,120,128,137,149,162,166,175,318,324,329,336,349,357,364,371,385,390,397,409,412,422,437,440,599,609,612,624,633,635,652,659,663,675,681,688,701,707,719,721,735,738,748,762,771,776,784,791,798,814,817,825,838,846,850,864,870,878,883,892,906,911,923,926,941,950,956,961,974,983,985,998,1007,1016,1021,1035,1042,1046,1057,1063,1077,1080,1095,1099,1112,1118,1128,1138,1142,1150,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,27,35,50,53,60,69,84,87,96,108,117,121,136,137,149,155,167,171,314,321,330,339,344,360,361,371,384,392,396,406,417,428,430,438,596,604,611,618,632,637,648,655,667,669,683,688,700,711,713,727,731,741,752,760,770,777,784,790,803,811,817,828,833,844,853,861,866,875,887,893,902,916,923,925,935,950,959,964,970,984,988,995,1010,1019,1020,1031,1039,1049,1060,1068,1077,1086,1096,1098,1113,1116,1129,1132,1142,1153,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,33,38,49,51,66,75,80,93,96,105,115,124,133,142,148,156,164,171,317,322,329,338,349,356,366,376,385,391,403,411,418,424,431,443,596,603,609,619,632,642,644,652,667,670,680,687,698,705,713,721,729,740,752,762,764,777,784,795,805,810,819,829,831,846,849,860,872,878,883,897,901,912,925,931,936,947,954,964,968,978,989,996,1002,1018,1025,1030,1044,1045,1060,1068,1076,1084,1087,1103,1110,1118,1129,1132,1146,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,30,34,43,59,65,75,78,86,99,104,112,124,136,141,151,157,168,175,313,325,331,336,344,360,366,375,384,389,402,407,420,426,430,443,599,602,616,623,631,640,651,659,667,675,684,693,701,708,715,721,736,739,751,759,769,772,788,791,803,810,818,830,832,840,849,863,873,878,882,894,905,916,919,932,934,944,957,962,975,978,989,1000,1007,1019,1022,1029,1040,1047,1054,1065,1072,1085,1095,1103,1106,1115,1124,1131,1143,1148,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,25,26,38,50,53,60,72,78,88,101,109,115,125,135,144,153,155,166,179,313,323,330,338,343,354,367,370,383,394,400,409,420,425,435,445,455,602,613,624,631,643,651,654,661,669,677,689,695,706,714,725,731,745,748,754,769,777,787,797,802,812,822,826,832,842,852,863,871,881,887,899,901,915,920,931,941,948,951,965,970,978,987,1000,1006,1011,1025,1034,1041,1049,1058,1063,1074,1085,1088,1104,1112,1120,1121,1131,1139,1151,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,25,33,36,44,52,61,74,84,88,96,109,111,120,130,144,149,156,169,172,316,325,330,343,348,359,367,372,379,394,395,407,419,425,434,438,596,605,610,619,628,638,649,660,667,674,681,687,700,711,717,728,730,745,751,762,770,774,787,793,799,810,815,827,832,844,854,858,872,874,882,893,908,916,917,929,934,945,952,966,973,976,990,997,1005,1019,1023,1030,1039,1050,1058,1063,1079,1084,1090,1102,1108,1116,1129,1138,1144,1148,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,27,35,45,57,61,68,82,92,101,107,116,126,135,140,147,156,162,171,315,321,334,336,347,354,363,370,381,392,401,408,420,429,433,445,600,604,616,620,631,640,647,653,664,670,682,691,699,705,714,724,734,739,751,759,765,775,788,789,805,810,820,829,833,847,852,858,872,880,891,894,905,914,921,928,941,942,953,966,969,982,990,998,1006,1019,1025,1032,1037,1045,1061,1070,1071,1084,1089,1100,1106,1119,1126,1133,1141,1154,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,30,37,46,58,60,75,77,91,96,105,112,126,131,138,145,154,167,171,313,321,327,340,346,358,364,377,386,389,403,405,416,423,433,440,599,607,613,623,634,635,645,655,668,675,678,688,699,708,714,723,731,738,750,756,764,778,781,791,798,812,822,830,832,847,851,860,873,877,885,893,903,911,919,927,936,946,952,963,974,984,988,1002,1007,1012,1026,1035,1038,1051,1057,1063,1078,1086,1094,1098,1107,1120,1125,1132,1146,1151,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,19,31,34,47,52,60,76,83,93,95,104,111,125,132,136,151,162,165,176,313,324,329,343,349,358,368,377,383,393,402,408,419,422,429,438,596,607,614,620,630,635,645,654,664,669,683,692,697,708,712,727,731,745,754,761,769,773,784,795,797,809,818,826,837,840,848,864,866,878,887,894,905,913,924,925,938,945,956,960,974,982,991,994,1006,1012,1025,1032,1040,1047,1058,1067,1076,1081,1094,1096,1107,1114,1122,1138,1143,1152,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,32,41,44,51,65,69,82,86,94,107,116,124,132,142,148,154,164,174,199,322,327,343,350,355,362,371,379,390,401,411,413,426,435,442,596,600,614,622,628,640,643,655,666,676,683,689,700,707,715,721,729,744,754,759,769,774,784,788,802,808,818,830,831,843,848,858,872,880,886,891,902,913,921,926,940,945,954,962,971,983,989,1002,1004,1012,1025,1032,1040,1050,1057,1066,1074,1079,1090,1101,1108,1116,1128,1132,1139,1153,1158,1165	1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,12,20,32,34,47,52,64,69,79,87,102,110,111,120,130,139,150,154,168,176,193,325,329,336,349,360,363,375,378,390,398,410,417,428,431,442,471,609,610,618,633,643,646,653,666,672,679,689,698,707,712,726,735,739,746,762,765,773,785,790,798,806,821,830,834,844,853,861,871,875,883,894,904,909,923,929,940,944,952,963,971,982,989,998,1002,1013,1027,1029,1038,1052,1054,1068,1078,1087,1091,1100,1112,1118,1129,1133,1142,1151,1158,1166	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,21,32,36,49,54,65,75,78,85,97,108,114,119,136,138,148,153,169,177,181,323,330,337,352,355,366,376,379,391,398,405,417,428,436,442,448,602,617,620,632,641,648,657,667,676,686,694,700,709,716,728,730,737,748,758,768,777,782,796,803,812,821,827,836,847,848,860,865,881,890,895,907,913,922,927,940,944,953,963,968,980,986,1000,1008,1016,1025,1033,1043,1050,1061,1064,1074,1080,1092,1099,1111,1114,1122,1130,1143,1150,1162,1167,1175	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,21,27,42,46,55,66,70,79,88,95,102,119,123,136,139,150,160,164,175,184,326,335,340,348,355,364,376,380,393,397,408,412,426,434,444,596,602,614,618,628,639,651,652,660,675,683,693,701,703,716,727,734,741,747,755,766,779,783,795,804,807,820,826,836,845,853,858,866,875,890,891,901,912,917,929,942,947,952,965,973,980,985,997,1004,1017,1020,1032,1039,1048,1060,1066,1072,1085,1090,1100,1106,1113,1127,1136,1147,1153,1157,1167,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,14,19,26,35,43,54,63,72,83,88,94,105,117,127,135,142,147,156,165,178,182,321,330,341,347,356,363,374,385,387,397,411,415,427,435,440,467,601,609,619,627,639,649,655,662,676,678,688,700,707,719,725,733,740,749,759,763,772,783,796,804,813,816,823,837,841,852,864,865,874,884,897,903,916,919,932,937,945,958,966,971,979,988,998,1005,1017,1027,1029,1044,1046,1053,1070,1073,1085,1095,1097,1112,1116,1126,1138,1142,1148,1158,1167	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0
4,12,22,31,38,44,51,64,69,84,86,94,106,113,119,133,139,153,154,163,175,195,326,330,339,349,358,362,374,382,387,402,411,416,421,437,445,596,608,613,624,632,639,645,659,663,672,682,691,698,711,719,726,730,743,749,757,766,776,785,789,804,812,821,829,832,841,850,864,874,879,885,893,907,909,924,931,937,946,956,960,968,982,992,997,1009,1013,1019,1036,1038,1051,1058,1065,1071,1082,1089,1103,1110,1115,1123,1131,1146,1147,1156,1166	1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0
5,11,18,30,38,49,52,67,70,78,88,94,107,115,123,130,136,145,155,169,176,183,324,334,337,349,354,365,370,385,393,402,404,416,421,430,444,459,602,614,623,626,639,644,659,661,673,684,690,699,705,715,725,736,742,753,760,764,773,781,793,804,810,815,824,832,846,850,857,872,878,885,896,900,912,918,929,936,950,953,965,972,982,988,993,1008,1012,1024,1029,1038,1047,1053,1064,1071,1086,1095,1096,1110,1119,1127,1131,1145,1153,1164,1171,1176	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,13,21,32,34,48,55,65,71,80,92,100,103,118,127,135,141,153,156,168,172,187,320,334,339,348,359,362,377,383,391,402,405,420,423,429,442,599,605,617,625,627,638,649,659,667,672,680,690,697,711,714,727,729,743,752,756,763,775,784,794,802,809,818,826,839,847,853,858,868,879,891,898,903,909,924,929,934,945,955,960,970,983,991,996,1007,1018,1025,1028,1037,1052,1058,1064,1071,1087,1093,1104,1108,1120,1128,1136,1142,1147,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,25,28,40,50,57,66,70,84,93,95,110,112,120,135,141,147,161,168,173,313,325,330,339,352,354,368,370,384,391,403,409,418,420,431,444,599,601,612,621,628,639,650,655,667,677,681,691,702,708,713,720,736,740,748,762,770,775,783,789,798,806,821,827,832,841,853,860,868,882,887,897,908,916,918,929,937,945,955,961,971,981,992,996,1006,1014,1020,1029,1040,1045,1059,1067,1079,1086,1095,1097,1107,1118,1127,1135,1141,1155,1161,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,27,35,49,54,61,74,82,93,98,109,111,125,131,139,147,154,169,173,190,321,329,339,345,354,362,376,383,387,396,408,412,422,436,440,469,608,615,626,632,641,647,652,660,674,681,689,702,708,718,728,736,744,750,762,767,774,788,794,798,811,819,825,836,845,856,859,871,881,890,891,900,908,921,933,940,943,959,965,974,979,992,1000,1006,1012,1022,1028,1036,1047,1061,1066,1077,1080,1094,1097,1110,1116,1130,1136,1145,1149,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,12,18,26,36,45,56,64,70,83,92,98,109,117,122,135,138,146,153,162,173,180,319,333,339,345,360,369,370,378,394,399,410,415,426,431,442,599,603,613,622,632,639,645,655,668,672,684,689,697,706,713,721,733,745,746,763,765,777,785,792,797,810,819,829,836,848,853,860,873,880,887,895,904,912,918,925,936,949,955,965,972,983,988,996,1010,1012,1020,1031,1042,1045,1058,1068,1076,1083,1093,1098,1106,1121,1124,1131,1143,1153,1161,1168,1177	0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,19,33,35,50,52,63,74,81,86,100,105,115,126,129,143,148,155,166,179,191,321,327,338,350,360,364,376,378,393,401,405,412,425,430,442,596,608,612,624,629,640,643,658,662,675,680,689,703,708,716,720,729,745,751,757,764,773,788,794,801,813,815,826,832,845,848,865,870,880,890,896,905,910,922,925,939,948,951,963,969,978,990,994,1010,1019,1021,1035,1038,1047,1060,1069,1073,1084,1088,1096,1111,1115,1129,1136,1146,1150,1156,1166	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,29,41,44,54,65,69,79,91,100,103,111,125,132,144,153,161,166,176,191,326,328,335,352,353,364,371,378,387,401,407,418,424,432,446,599,605,615,620,629,635,646,658,661,677,679,687,700,704,716,726,735,740,746,761,769,776,784,792,802,810,817,829,837,845,854,861,869,877,887,892,907,912,918,933,938,943,954,967,971,977,992,996,1005,1012,1025,1035,1042,1049,1056,1068,1078,1086,1095,1101,1106,1121,1123,1137,1145,1154,1158,1170,1177	0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
6,14,19,27,38,50,51,61,70,83,88,96,106,117,123,129,142,145,155,164,177,315,326,330,340,345,359,367,373,385,393,398,405,412,424,430,439,468,603,610,626,629,638,644,656,664,675,685,690,697,711,719,721,734,742,747,755,766,774,785,791,804,809,820,824,838,846,849,857,866,880,891,896,906,914,921,926,935,946,955,961,973,977,993,1001,1006,1012,1026,1034,1040,1050,1057,1064,1071,1080,1089,1103,1110,1113,1125,1132,1142,1155,1156,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,23,27,40,48,57,63,75,85,90,94,103,116,121,133,140,146,154,168,172,183,320,333,336,346,360,367,375,383,386,395,406,412,424,434,444,448,603,609,626,630,637,644,656,665,672,681,690,700,704,719,728,731,743,747,762,769,775,781,793,804,813,819,824,834,843,849,860,872,875,883,893,903,913,921,928,935,950,956,963,969,976,991,996,1003,1012,1022,1029,1044,1047,1060,1066,1071,1082,1089,1100,1107,1116,1125,1132,1139,1147,1161,1169,1176	0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,24,26,41,44,54,68,69,85,92,94,109,117,122,136,138,146,161,169,173,317,320,334,341,347,360,367,376,379,388,397,409,415,420,436,445,463,604,613,625,632,639,650,655,667,674,679,692,696,704,718,725,730,739,751,761,771,772,784,795,800,809,818,830,835,843,856,863,868,880,891,899,900,911,917,926,935,949,959,962,969,981,991,998,1006,1012,1023,1034,1041,1045,1061,1067,1076,1081,1091,1100,1109,1117,1130,1133,1142,1153,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,22,31,40,43,59,63,69,77,91,95,110,118,122,131,144,152,161,163,178,313,320,328,337,348,360,368,370,380,389,399,404,419,427,436,439,598,600,616,626,630,635,646,657,665,671,686,689,696,706,715,728,735,740,748,762,764,777,786,795,805,810,816,830,836,841,850,862,868,877,886,895,901,910,922,927,940,946,956,961,969,979,988,995,1007,1011,1022,1034,1041,1046,1055,1070,1077,1080,1094,1102,1110,1113,1128,1130,1144,1150,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,26,37,44,52,64,68,85,87,94,103,112,122,129,139,150,157,164,172,313,319,328,342,345,353,363,377,380,387,395,405,418,424,435,442,468,606,613,618,631,642,643,659,667,672,684,688,703,704,715,723,729,739,751,758,765,771,781,792,798,809,818,826,835,842,851,858,868,874,888,894,901,911,917,931,937,949,957,962,976,978,991,1000,1007,1017,1020,1033,1037,1048,1059,1066,1075,1084,1095,1098,1107,1117,1125,1137,1146,1149,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,26,35,43,59,65,73,79,93,98,104,111,124,131,138,147,161,169,175,318,324,328,342,349,353,369,375,378,392,401,408,412,424,432,444,456,607,616,625,633,635,645,654,666,676,685,692,696,705,718,722,733,744,753,762,768,777,784,796,803,812,818,830,839,847,854,864,871,879,887,894,900,913,919,930,935,945,951,961,975,983,985,995,1006,1014,1025,1030,1039,1049,1057,1068,1075,1087,1095,1104,1106,1117,1126,1138,1146,1150,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,17,29,37,46,51,67,71,78,86,96,107,114,125,129,141,153,156,170,178,315,321,334,343,350,356,366,369,380,393,400,404,420,424,434,444,453,605,610,619,632,640,647,658,663,670,683,692,695,705,714,721,737,739,746,762,770,779,784,792,801,812,818,825,833,847,850,859,871,881,884,895,901,912,923,931,940,945,955,961,970,979,988,1001,1010,1019,1027,1030,1039,1046,1056,1068,1073,1080,1091,1103,1106,1118,1127,1137,1140,1153,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,29,41,47,54,64,68,84,86,98,104,111,124,128,137,153,159,162,175,313,319,331,336,351,352,368,372,380,389,397,406,416,427,434,445,471,609,610,620,629,640,648,654,662,671,678,691,697,708,714,723,731,744,750,762,769,776,787,796,798,813,814,823,831,847,853,865,872,882,887,899,905,911,920,929,936,942,952,963,972,977,992,1002,1009,1013,1025,1032,1043,1049,1059,1070,1073,1081,1091,1103,1107,1121,1129,1132,1139,1149,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,28,36,48,54,64,69,79,90,98,104,118,119,129,143,146,161,167,174,316,320,334,342,350,353,363,371,380,390,399,406,413,424,437,438,465,605,616,622,626,636,650,658,663,677,681,693,699,711,718,727,733,743,747,762,770,777,780,791,805,806,819,828,835,848,854,864,869,878,887,893,900,914,922,927,939,949,956,961,969,978,993,994,1006,1013,1024,1036,1043,1051,1055,1062,1072,1086,1093,1101,1105,1113,1122,1136,1144,1149,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,24,32,41,50,53,63,75,77,85,98,107,111,119,128,138,152,153,167,171,316,319,332,337,348,354,361,376,381,391,400,406,414,423,436,441,454,601,610,620,633,640,644,658,667,676,683,692,702,705,714,720,737,740,748,756,771,777,784,790,800,811,815,829,837,843,855,862,871,879,887,892,901,912,922,931,941,942,956,963,975,977,985,997,1005,1019,1020,1029,1040,1047,1059,1064,1070,1081,1092,1101,1106,1119,1127,1131,1141,1148,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,33,35,51,58,68,70,83,93,98,106,115,126,136,140,147,160,169,178,187,319,329,338,351,360,369,376,383,390,398,411,419,422,437,442,598,604,615,621,629,638,646,654,666,676,685,687,701,706,711,724,730,745,749,756,767,776,785,790,802,809,819,827,836,843,856,859,873,876,887,895,905,910,921,933,937,945,953,966,970,978,989,997,1010,1017,1019,1031,1039,1049,1056,1064,1075,1079,1090,1097,1107,1121,1127,1135,1143,1150,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
3,15,17,33,37,43,59,62,72,78,93,96,109,114,120,129,142,146,154,166,174,313,322,330,336,345,358,364,377,378,388,397,411,419,427,429,446,451,604,609,620,629,640,645,652,661,672,680,692,697,704,720,726,733,738,754,758,765,777,786,792,799,808,816,831,833,845,849,862,869,880,890,895,906,913,921,928,937,946,957,965,970,983,992,998,1003,1016,1025,1028,1042,1052,1056,1064,1076,1084,1088,1097,1105,1119,1122,1132,1142,1151,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,30,38,51,57,60,75,78,92,97,104,116,126,133,143,153,155,166,171,313,321,328,342,346,356,368,375,385,386,395,405,414,422,434,443,452,608,617,619,632,643,651,657,667,671,682,694,697,707,718,728,732,740,746,760,767,778,782,788,805,808,817,827,834,843,852,864,872,874,885,893,905,912,923,926,937,943,958,966,969,978,988,1000,1004,1016,1020,1033,1040,1047,1053,1063,1071,1082,1088,1097,1108,1121,1124,1136,1146,1155,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,32,41,50,54,65,68,79,92,96,108,111,121,135,143,152,154,167,174,318,324,333,340,351,354,367,373,383,389,399,409,419,423,431,438,447,606,613,621,630,643,650,652,663,674,684,689,699,711,714,722,736,742,752,755,769,775,781,793,802,807,815,829,838,847,851,862,868,876,887,891,902,915,917,929,940,948,952,959,972,982,988,999,1008,1015,1020,1034,1038,1047,1054,1066,1074,1079,1095,1103,1113,1117,1122,1136,1139,1149,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,29,35,49,58,64,72,77,89,101,107,111,122,135,139,150,156,164,171,316,320,330,338,349,358,367,371,378,390,401,409,412,425,436,445,599,601,617,624,634,635,647,657,663,676,684,694,696,711,714,723,734,739,747,760,763,775,784,789,798,812,816,827,839,845,854,863,868,882,886,897,902,916,925,926,941,946,952,963,972,983,987,996,1006,1018,1027,1032,1040,1048,1061,1065,1077,1086,1089,1102,1109,1118,1130,1135,1139,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,28,41,48,59,65,74,77,85,99,108,111,123,135,141,153,159,168,173,180,322,335,342,344,352,363,370,386,388,402,407,419,428,430,444,451,601,612,621,630,639,650,659,666,677,680,691,698,707,715,723,734,738,751,759,763,774,784,792,803,807,816,825,836,843,848,858,866,875,886,893,900,909,924,932,939,948,952,966,973,979,988,1000,1010,1011,1025,1028,1043,1046,1056,1068,1077,1081,1095,1102,1106,1120,1126,1133,1147,1148,1160,1166	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
6,13,18,33,40,47,56,65,76,84,87,94,105,114,126,133,143,151,156,167,177,316,318,334,342,352,354,368,376,382,386,399,403,413,423,431,444,597,604,617,619,627,637,647,659,665,671,679,692,700,706,718,722,730,742,750,758,769,774,784,796,805,808,819,828,835,841,851,858,868,874,886,891,904,914,922,931,934,942,951,964,976,980,992,1000,1007,1012,1021,1029,1036,1049,1056,1067,1072,1084,1094,1103,1107,1114,1126,1138,1142,1155,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,28,40,45,57,60,70,81,89,97,109,113,127,133,140,145,156,164,173,317,320,334,342,348,354,368,377,380,392,397,404,415,427,431,445,456,603,614,622,633,641,649,657,662,675,680,689,697,711,716,723,737,739,751,756,765,778,785,795,802,811,817,824,835,842,851,864,868,875,890,899,901,910,923,929,939,945,958,965,975,980,992,997,1003,1013,1020,1032,1040,1045,1057,1066,1075,1080,1089,1101,1105,1117,1125,1138,1145,1148,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,30,39,50,52,64,70,81,90,99,105,115,124,132,137,146,159,168,175,314,325,330,336,347,358,361,374,384,391,395,412,414,427,431,440,455,607,611,623,626,641,647,653,662,674,681,691,703,705,714,721,732,744,752,756,771,775,781,795,805,807,818,823,832,844,855,865,867,877,883,896,908,913,919,928,935,950,958,967,971,985,987,997,1002,1016,1027,1030,1040,1051,1059,1067,1079,1080,1087,1098,1106,1115,1123,1130,1147,1155,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,34,39,50,57,60,71,83,86,99,110,112,122,129,145,152,157,168,173,316,322,334,335,349,360,361,376,381,391,401,406,414,425,430,443,596,603,611,620,633,636,649,660,663,673,684,687,698,708,719,725,735,744,752,761,767,777,781,791,800,812,822,823,837,844,852,858,874,878,887,896,901,914,921,928,940,943,959,964,975,981,986,1000,1008,1018,1020,1030,1041,1048,1054,1063,1071,1080,1089,1100,1106,1116,1125,1133,1144,1148,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,30,35,46,57,67,76,79,90,98,105,119,124,128,145,150,161,170,173,317,320,330,342,346,357,366,377,380,391,402,411,416,423,432,442,463,604,617,618,627,635,645,658,660,669,683,692,697,708,716,720,730,739,751,762,765,772,784,797,799,813,819,823,832,845,856,860,869,880,889,899,904,914,917,925,939,949,956,961,976,977,987,1001,1008,1013,1023,1034,1037,1053,1058,1068,1072,1085,1092,1102,1106,1113,1127,1138,1142,1147,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,28,39,47,57,65,73,83,88,98,102,113,120,128,139,149,161,168,174,315,319,335,342,347,353,364,375,379,390,399,411,416,425,434,443,598,608,616,626,631,636,650,654,668,670,684,692,696,710,718,727,734,740,752,761,766,776,786,791,801,810,816,831,837,848,856,864,870,880,885,897,902,911,923,931,934,943,955,962,974,984,990,993,1003,1018,1025,1033,1037,1052,1054,1063,1071,1085,1088,1099,1109,1120,1123,1133,1145,1150,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,25,37,42,58,64,74,81,88,97,107,117,125,134,140,147,156,163,171,313,326,334,336,344,359,366,373,383,390,403,404,413,420,436,444,452,606,613,626,633,636,644,660,661,675,682,692,702,708,714,723,736,744,747,756,764,778,785,794,800,806,814,830,839,846,856,857,868,881,890,898,901,910,924,926,937,943,951,963,973,983,990,1000,1002,1015,1020,1033,1037,1050,1059,1068,1076,1083,1091,1103,1108,1114,1127,1131,1144,1155,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,25,29,38,43,51,64,75,85,90,96,105,118,126,129,141,151,159,169,178,313,318,335,339,345,353,361,374,385,389,401,410,412,421,437,438,600,602,615,621,632,641,649,657,665,672,679,686,696,707,712,727,733,741,752,756,767,772,786,791,802,807,822,828,835,844,852,859,867,877,886,896,908,912,923,931,941,947,959,963,973,982,988,1001,1003,1012,1025,1030,1039,1050,1056,1065,1072,1084,1093,1101,1107,1117,1128,1135,1145,1150,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,32,36,45,53,65,70,78,85,96,109,112,123,133,143,153,161,163,173,315,322,332,338,344,356,361,371,382,394,402,408,413,421,432,444,596,608,613,620,632,640,647,659,668,676,681,690,698,705,718,722,737,742,751,759,770,779,788,796,801,811,821,829,835,840,855,857,870,881,885,899,907,914,923,931,939,947,952,960,970,980,987,994,1009,1015,1026,1036,1037,1048,1056,1066,1071,1080,1093,1099,1109,1118,1128,1133,1145,1155,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,29,35,47,57,66,73,82,86,100,109,119,122,130,144,148,156,164,178,316,320,334,339,351,359,363,375,380,391,397,408,416,424,434,441,454,600,612,619,634,643,647,659,667,677,683,688,700,710,717,721,733,739,748,757,764,774,785,790,797,812,817,829,832,845,849,858,870,874,884,894,901,914,918,933,937,943,955,959,969,977,992,999,1003,1013,1020,1030,1044,1048,1056,1069,1074,1084,1095,1099,1105,1119,1126,1130,1144,1148,1157,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,27,40,49,58,68,75,80,90,95,110,113,126,128,144,151,161,167,177,318,319,333,338,344,357,367,377,382,387,397,407,419,428,437,440,598,601,614,620,633,637,644,655,665,670,683,694,698,706,717,726,732,743,748,758,768,776,786,790,798,809,817,823,836,844,854,859,873,880,883,893,902,912,918,933,935,947,954,966,968,976,991,995,1008,1017,1027,1028,1044,1046,1057,1067,1074,1084,1088,1100,1109,1117,1128,1131,1144,1153,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,24,31,36,50,52,67,74,81,89,98,104,111,119,134,144,147,160,163,176,315,323,334,341,349,360,362,372,378,393,396,405,416,423,437,443,453,603,615,618,633,638,651,656,662,676,679,687,696,705,718,726,730,741,753,756,763,775,781,795,798,808,818,826,831,840,850,857,870,882,890,892,904,916,919,925,935,951,954,966,973,977,987,996,1005,1016,1023,1031,1041,1053,1062,1068,1073,1087,1092,1097,1110,1121,1128,1137,1142,1149,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,28,36,47,57,68,70,77,89,97,107,112,120,128,139,152,154,169,171,180,321,331,337,347,357,368,374,380,392,402,412,417,423,436,439,467,603,614,622,627,637,649,659,662,670,678,690,695,704,718,722,737,745,747,762,767,774,782,790,800,807,816,824,836,847,855,861,874,880,887,896,907,911,920,927,936,944,955,965,975,982,991,995,1009,1019,1021,1029,1037,1046,1060,1068,1078,1085,1095,1103,1110,1113,1122,1137,1145,1152,1161,1167,1175	0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
6,10,17,32,42,45,54,59,69,79,85,97,109,113,127,131,141,146,158,165,176,187,324,328,339,351,360,368,376,384,388,396,410,415,428,435,441,599,605,617,621,631,639,652,655,667,669,681,689,703,706,716,727,733,744,753,754,766,775,780,792,797,809,819,824,831,848,849,859,866,875,886,898,906,913,917,926,936,949,955,961,975,983,987,999,1005,1014,1026,1028,1039,1048,1061,1063,1075,1079,1088,1102,1109,1115,1124,1131,1146,1155,1162,1171	1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,16,24,32,34,48,52,63,76,84,93,100,105,115,125,134,142,153,154,165,175,179,318,329,336,345,359,366,376,385,389,401,411,420,422,430,442,458,602,610,625,633,637,648,659,664,676,679,686,695,707,714,728,735,744,754,761,770,776,787,793,800,806,817,826,836,848,850,862,870,875,891,899,903,909,921,928,937,949,952,964,971,977,989,993,1005,1013,1024,1033,1041,1047,1060,1070,1072,1087,1089,1100,1110,1115,1128,1131,1142,1155,1160,1171	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
2,9,22,28,38,51,56,65,74,82,93,100,109,112,119,128,143,147,160,165,177,183,318,328,336,345,357,364,374,380,389,395,405,415,425,433,441,598,604,616,623,629,635,646,655,666,672,682,691,701,707,718,725,736,743,748,762,771,775,781,792,797,809,816,824,834,845,855,859,868,876,888,892,904,913,921,931,941,945,952,965,972,977,985,994,1008,1012,1021,1030,1044,1050,1059,1065,1072,1087,1090,1102,1113,1115,1128,1132,1139,1154,1163,1170,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,8,18,30,36,48,54,67,75,79,89,96,109,111,119,131,142,151,161,167,173,183,326,331,343,349,354,362,373,386,391,402,407,420,426,431,446,455,600,610,619,634,635,649,657,665,671,682,691,696,710,713,724,734,739,746,759,769,775,785,794,801,806,822,827,838,846,851,861,873,874,886,895,905,914,920,932,939,949,951,962,969,978,988,999,1006,1018,1026,1030,1038,1047,1057,1065,1071,1086,1092,1102,1105,1115,1129,1137,1139,1150,1156,1172,1176	0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,10,21,33,40,49,59,62,75,82,91,100,103,117,126,134,144,149,156,165,174,181,318,330,335,348,356,369,371,382,393,397,406,417,426,432,442,447,604,614,622,631,640,645,655,661,677,685,689,697,708,717,720,733,745,753,757,764,777,785,797,803,812,815,824,835,843,855,858,867,874,883,896,904,908,921,928,940,947,952,965,973,979,990,1001,1008,1017,1021,1029,1041,1046,1056,1069,1072,1084,1094,1103,1110,1118,1122,1134,1146,1155,1160,1168,1175	0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,13,17,26,37,44,53,64,74,78,86,95,108,116,123,129,143,146,155,167,171,187,319,333,337,348,356,364,376,380,388,397,412,414,421,433,444,448,606,613,626,631,638,651,658,669,672,685,689,701,703,714,725,735,743,747,757,766,776,785,789,805,808,815,827,834,845,854,862,871,874,885,893,906,912,922,928,942,947,957,965,969,979,992,1000,1002,1016,1024,1031,1036,1048,1055,1064,1072,1083,1089,1098,1110,1115,1130,1138,1141,1150,1161,1168,1173	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,20,33,34,47,59,60,75,80,91,95,107,111,127,128,141,148,157,163,172,193,323,333,342,352,354,361,376,385,388,395,407,417,421,432,441,463,609,617,619,630,642,650,657,662,675,679,687,698,708,720,723,730,744,750,756,769,772,786,790,803,813,818,825,832,842,848,861,871,881,886,891,904,911,924,926,936,947,952,963,969,977,992,998,1005,1016,1023,1028,1039,1046,1061,1069,1078,1087,1096,1097,1104,1114,1124,1133,1144,1152,1160,1165,1175	0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,21,28,42,49,53,65,68,77,92,98,108,116,124,131,136,149,160,162,178,317,321,328,343,351,359,366,376,385,391,400,407,418,426,433,441,466,602,609,622,631,637,647,652,662,669,682,689,699,706,720,721,730,740,746,763,765,778,788,789,803,810,815,824,831,843,855,864,869,875,886,897,908,910,923,932,939,950,954,965,970,981,990,995,1005,1011,1023,1033,1038,1047,1057,1070,1074,1082,1095,1104,1105,1115,1125,1135,1140,1155,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,28,34,48,58,66,69,79,91,99,110,112,125,129,137,152,159,166,173,185,325,332,339,348,359,364,375,380,390,396,410,414,428,432,439,599,609,613,625,628,642,649,658,662,671,678,688,701,706,716,721,731,743,750,761,771,780,785,790,803,809,816,830,832,841,852,861,871,880,883,893,901,913,923,932,937,948,955,959,969,984,992,996,1006,1014,1021,1034,1037,1048,1053,1069,1076,1080,1096,1099,1113,1121,1126,1130,1143,1153,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,21,28,37,46,52,66,72,82,91,100,109,118,120,133,141,147,161,170,171,180,320,333,337,347,354,368,376,380,392,403,408,417,426,436,443,461,601,611,618,626,640,645,657,661,670,678,692,696,707,715,724,733,741,751,760,771,775,782,788,801,808,814,829,836,847,850,862,868,878,890,892,906,914,923,933,938,947,955,963,969,980,989,994,1010,1013,1025,1036,1037,1045,1058,1065,1074,1079,1094,1103,1105,1114,1129,1135,1140,1155,1163,1166,1178	0,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,24,31,36,50,56,67,76,82,93,96,106,111,121,133,138,146,155,165,173,182,326,332,336,345,357,366,373,384,394,401,409,415,426,435,439,600,606,611,618,631,641,646,658,668,675,681,688,699,703,715,721,734,745,753,760,764,776,787,791,800,807,820,825,833,842,855,862,868,881,889,897,908,912,923,932,940,949,958,960,975,980,986,996,1009,1013,1025,1030,1044,1048,1055,1064,1075,1082,1090,1097,1105,1115,1124,1137,1145,1148,1156,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,10,25,32,39,44,55,62,76,83,85,97,104,116,124,132,140,145,156,167,177,190,318,330,337,348,356,367,369,378,389,401,404,413,422,429,440,466,602,615,618,634,643,649,659,661,676,684,692,697,711,716,727,736,739,749,760,764,774,780,796,798,811,822,824,833,848,853,860,868,882,886,891,906,916,923,932,935,950,957,966,971,982,986,997,1008,1017,1026,1030,1038,1045,1057,1065,1072,1081,1090,1103,1111,1120,1127,1136,1145,1154,1163,1164,1177	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,23,30,34,46,54,61,72,80,91,96,109,112,120,135,136,146,160,165,172,182,322,334,341,344,354,363,377,383,393,400,410,419,421,436,442,597,602,613,618,632,640,643,659,665,670,682,689,697,710,716,723,730,745,752,759,767,776,787,793,800,808,819,823,833,844,856,864,870,879,889,893,901,911,922,927,937,945,958,963,975,979,990,999,1006,1011,1025,1029,1044,1053,1060,1065,1077,1081,1096,1102,1112,1117,1129,1135,1139,1147,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,25,32,36,47,57,65,76,78,92,101,104,117,122,130,144,152,158,166,173,186,322,328,338,344,355,366,372,382,392,401,407,412,421,431,438,597,603,616,618,631,638,645,657,667,675,686,691,700,708,715,721,732,740,748,762,766,775,781,795,802,810,822,826,831,840,849,863,866,881,891,892,906,908,922,928,934,946,954,967,969,980,992,993,1002,1016,1021,1034,1044,1049,1056,1070,1078,1082,1089,1096,1110,1118,1128,1134,1144,1148,1162,1168,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
0,13,24,30,41,50,55,61,75,82,93,94,108,114,123,136,143,145,155,165,178,316,321,334,342,346,360,361,369,385,391,400,403,417,428,431,438,449,608,617,621,633,642,651,659,661,672,684,687,703,710,719,726,734,742,749,756,768,774,783,793,798,810,822,823,839,845,850,859,868,878,883,894,903,914,917,932,938,945,952,964,976,981,993,997,1002,1011,1019,1034,1043,1048,1055,1066,1076,1085,1092,1103,1109,1118,1122,1134,1145,1152,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,28,41,50,53,65,73,77,91,100,105,112,123,129,140,151,155,162,178,317,324,327,343,345,360,368,374,380,391,399,404,415,427,435,443,457,607,610,626,631,635,649,653,664,673,682,688,698,709,715,727,732,740,754,760,764,777,781,791,799,809,815,827,837,841,853,862,868,878,887,899,905,908,923,927,937,950,953,967,974,984,990,997,1008,1013,1027,1031,1037,1047,1055,1064,1074,1087,1091,1099,1106,1117,1123,1132,1140,1148,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,20,27,36,48,59,68,74,84,89,100,108,114,121,135,144,147,154,162,176,314,324,327,335,347,356,367,371,385,393,398,407,418,424,434,445,599,604,614,622,630,638,645,657,664,673,678,693,701,707,714,728,734,738,749,756,767,776,785,792,799,806,817,828,838,844,848,865,870,879,890,893,905,911,920,928,934,950,957,967,975,981,993,995,1010,1012,1019,1032,1036,1048,1058,1069,1077,1086,1089,1098,1110,1113,1125,1137,1145,1154,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,19,26,36,43,53,61,73,84,92,96,105,113,120,135,141,149,155,167,176,314,320,334,337,347,357,368,376,385,389,401,411,417,427,430,444,600,607,612,624,627,636,644,658,665,673,679,689,695,704,716,728,730,740,752,762,766,774,788,794,803,810,818,825,835,841,849,865,866,878,891,899,906,909,921,933,939,945,954,962,968,979,988,999,1009,1019,1026,1028,1044,1051,1059,1069,1072,1079,1096,1101,1104,1118,1124,1135,1139,1151,1159,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,32,34,47,52,61,75,81,85,97,106,115,123,133,136,145,159,166,177,313,323,333,341,345,355,366,372,378,393,403,410,420,423,434,438,453,609,614,626,628,638,645,660,662,675,677,693,700,707,714,725,735,738,753,762,771,777,788,789,801,812,819,831,834,840,848,860,872,876,883,892,906,909,923,930,941,951,955,962,976,977,992,998,1004,1018,1026,1029,1037,1050,1056,1069,1075,1087,1092,1099,1104,1115,1127,1131,1141,1152,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,28,34,47,59,66,71,84,85,94,109,118,127,129,138,149,158,166,171,317,319,329,342,348,356,363,372,381,392,402,405,412,424,434,444,599,608,615,621,626,643,645,654,663,673,682,693,702,708,712,726,730,743,754,756,763,775,783,794,801,807,815,825,837,843,853,857,867,875,890,898,900,908,920,931,936,949,956,961,974,983,988,1001,1008,1017,1024,1031,1044,1049,1057,1068,1076,1081,1090,1103,1112,1115,1124,1134,1144,1148,1164,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,18,30,37,50,54,60,69,82,93,100,104,115,127,133,145,153,154,166,173,316,322,335,339,349,359,367,371,386,395,400,408,420,425,429,438,600,609,611,619,630,642,645,660,663,671,683,686,699,707,719,727,736,739,747,763,767,772,786,793,804,810,821,829,832,844,848,859,873,876,889,898,904,909,917,928,937,945,955,962,976,985,986,995,1003,1012,1019,1032,1038,1052,1057,1063,1078,1086,1095,1096,1110,1118,1130,1136,1140,1154,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,20,26,37,48,58,64,70,82,88,101,103,112,124,135,141,152,159,165,174,314,326,332,336,347,355,362,372,378,387,395,408,413,425,433,445,467,606,613,623,630,639,646,660,666,675,682,690,702,707,717,728,729,742,747,760,768,776,782,795,798,811,817,825,838,840,851,864,873,875,888,894,902,916,923,933,939,943,951,961,973,985,989,999,1005,1011,1021,1029,1036,1052,1054,1069,1077,1082,1092,1096,1112,1116,1129,1134,1142,1148,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,28,41,44,57,65,74,79,86,101,108,119,127,135,142,148,157,170,172,190,322,330,336,345,359,362,373,378,388,397,411,412,426,434,440,454,601,612,620,634,635,645,657,662,670,684,691,701,708,714,722,729,738,750,760,767,779,781,793,799,809,818,823,836,845,849,859,873,881,883,899,906,912,924,925,936,947,953,966,970,978,987,1000,1010,1014,1024,1031,1036,1053,1060,1064,1075,1086,1093,1097,1107,1118,1129,1137,1143,1155,1163,1166,1177	0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,9,21,30,39,51,59,65,73,79,86,100,107,116,122,133,138,147,153,169,179,318,324,335,338,350,359,369,376,380,388,396,406,419,427,433,444,455,604,617,622,632,642,643,657,660,669,681,687,695,711,713,728,733,745,753,762,763,774,781,789,799,806,820,824,837,842,849,864,873,878,890,894,904,912,920,927,938,947,956,966,971,984,986,1000,1007,1014,1025,1034,1044,1049,1060,1068,1075,1081,1094,1098,1107,1119,1125,1133,1142,1154,1162,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,18,28,34,43,55,62,76,80,85,102,103,113,123,134,145,148,154,170,178,314,326,334,343,349,359,368,371,385,395,398,405,416,421,436,444,468,605,613,623,626,642,644,659,668,676,680,694,697,705,715,728,737,738,747,761,765,777,782,795,804,806,819,827,835,845,849,859,872,880,884,892,902,908,918,928,940,947,954,963,972,984,989,995,1003,1019,1024,1035,1040,1052,1060,1065,1074,1085,1090,1097,1109,1114,1122,1131,1146,1152,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,20,32,36,46,54,65,76,80,87,94,105,118,124,133,138,150,160,163,178,316,323,331,338,345,357,362,371,385,386,399,409,416,421,436,443,447,605,613,619,634,643,650,652,668,670,684,686,697,706,715,727,729,739,753,756,764,773,783,794,805,811,814,829,832,844,856,860,867,882,889,896,906,909,925,932,939,950,954,960,972,983,989,1001,1010,1014,1027,1033,1043,1045,1055,1062,1070,1084,1089,1097,1105,1121,1122,1130,1144,1154,1158,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,29,39,50,53,67,70,83,91,100,105,115,120,133,137,153,160,167,172,315,319,329,342,350,356,366,375,385,394,402,410,419,423,430,441,599,605,611,620,626,640,652,658,665,670,684,692,702,706,720,725,735,742,752,761,768,776,785,791,804,810,821,829,832,844,852,862,869,881,888,895,901,908,917,931,940,948,956,963,976,984,986,999,1010,1011,1019,1034,1042,1049,1060,1069,1077,1085,1095,1100,1106,1114,1128,1137,1139,1152,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,29,40,43,58,68,69,78,92,100,102,117,123,130,140,146,155,169,177,182,319,330,339,345,355,367,374,381,391,397,408,416,427,433,441,596,601,611,619,632,638,651,659,665,677,685,690,700,704,715,720,735,740,754,760,768,779,780,796,802,814,821,830,834,847,855,861,867,874,889,893,907,915,923,931,939,948,952,965,971,978,987,1001,1007,1015,1023,1028,1042,1053,1055,1067,1072,1083,1093,1100,1110,1116,1123,1130,1139,1155,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,9,21,33,41,46,54,64,74,84,93,97,104,111,126,135,142,149,159,168,178,313,319,329,339,350,356,369,373,380,387,401,403,413,421,433,442,600,606,614,618,632,635,649,652,668,670,684,693,696,709,713,728,736,741,747,755,769,772,781,796,803,810,822,830,839,842,856,864,869,878,886,895,907,913,917,932,939,945,959,960,968,984,993,998,1005,1014,1027,1032,1038,1049,1054,1064,1074,1087,1095,1100,1105,1116,1124,1132,1146,1150,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,19,33,39,45,57,67,76,83,87,99,106,115,127,132,139,149,157,169,173,315,318,327,337,347,356,364,374,383,392,399,409,419,423,429,441,596,604,617,621,633,638,646,658,668,675,677,688,701,704,717,721,732,744,750,757,770,772,780,797,804,808,818,828,836,847,852,860,865,876,885,898,901,912,921,928,940,949,953,961,974,983,990,1001,1005,1014,1025,1033,1039,1047,1056,1063,1072,1085,1089,1102,1104,1119,1125,1132,1144,1154,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,25,35,43,58,68,75,81,85,99,104,112,127,130,141,149,158,166,178,318,320,334,337,350,354,367,375,378,391,402,404,416,421,431,445,597,607,615,625,627,642,643,659,661,671,679,691,697,704,716,721,733,738,746,760,769,771,787,789,803,811,817,827,832,845,854,857,870,876,890,897,903,915,924,925,940,947,951,968,971,980,992,1000,1009,1012,1021,1035,1037,1050,1058,1069,1071,1086,1093,1102,1110,1117,1126,1133,1140,1148,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,26,34,49,57,60,71,79,93,99,106,112,119,133,142,145,159,167,175,314,321,331,335,350,355,362,373,380,393,401,404,415,427,430,439,466,605,614,626,630,643,650,657,667,675,678,693,699,708,718,721,730,739,748,757,764,772,786,789,803,812,817,827,835,844,851,863,868,880,890,895,903,911,922,931,934,944,952,963,975,978,990,999,1003,1017,1022,1034,1040,1048,1054,1070,1074,1087,1091,1096,1110,1121,1123,1131,1147,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,23,26,37,50,54,59,69,82,85,97,110,114,127,133,141,153,158,165,173,317,322,328,343,352,359,366,375,385,392,401,405,418,421,429,443,598,605,612,626,634,640,650,653,668,677,684,693,697,706,712,722,736,745,748,757,764,774,788,789,800,809,822,826,837,847,850,859,866,879,884,897,903,909,919,926,934,948,951,960,974,978,988,997,1003,1018,1023,1034,1043,1052,1059,1062,1074,1079,1094,1101,1111,1120,1126,1138,1139,1154,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,26,37,45,58,64,75,85,87,96,102,115,123,136,143,149,155,168,177,314,324,328,342,346,358,368,377,379,387,402,410,419,421,430,443,455,601,616,622,631,636,645,655,662,672,682,694,699,706,720,721,729,745,754,761,764,772,786,794,804,811,818,825,837,847,853,859,865,876,890,897,901,912,917,926,934,942,953,966,976,979,990,998,1005,1013,1024,1028,1041,1046,1057,1064,1073,1080,1093,1098,1111,1117,1126,1133,1146,1152,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,18,31,37,50,57,63,74,82,92,95,103,112,120,133,136,152,156,165,174,315,325,331,340,351,356,367,372,379,390,402,407,413,428,436,443,596,602,613,625,627,636,650,656,663,676,684,689,699,707,713,726,732,738,749,758,767,777,788,791,797,812,822,830,836,848,849,862,867,877,884,896,906,915,923,930,936,943,952,960,972,980,991,998,1004,1014,1021,1030,1044,1047,1061,1069,1072,1080,1094,1103,1111,1119,1129,1138,1143,1153,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,32,34,44,56,67,72,84,86,101,104,115,125,133,145,151,156,169,174,315,325,328,340,349,357,365,375,384,394,398,412,419,425,431,444,596,601,616,618,631,637,646,657,662,671,683,688,700,703,713,728,731,738,750,757,764,774,782,795,802,812,820,826,835,845,854,859,872,882,888,894,902,909,921,927,941,947,954,959,974,979,989,1002,1004,1013,1023,1033,1038,1050,1056,1069,1073,1082,1088,1103,1108,1117,1124,1134,1140,1154,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,22,26,36,47,56,66,73,82,89,100,108,112,119,136,141,150,161,169,171,317,318,333,343,345,352,363,371,385,386,401,407,415,422,433,441,598,607,610,623,632,640,644,652,665,674,681,692,698,705,716,721,733,737,750,755,764,774,780,790,802,805,817,824,834,845,849,862,869,878,888,895,902,915,924,928,936,950,952,967,971,978,986,993,1005,1016,1021,1028,1040,1052,1057,1070,1072,1087,1096,1104,1108,1119,1126,1138,1143,1151,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,29,41,43,53,65,72,83,86,95,106,112,127,129,139,147,161,169,178,314,319,328,338,344,358,367,377,384,392,403,410,417,423,430,441,600,605,615,624,631,643,649,656,668,673,678,688,697,708,719,724,734,745,753,762,770,775,780,793,801,811,814,827,837,840,853,859,867,879,890,897,899,908,922,925,937,945,958,961,969,979,991,999,1006,1012,1020,1033,1040,1047,1057,1068,1075,1082,1087,1098,1106,1117,1122,1132,1140,1153,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,20,27,38,51,57,68,69,82,89,94,107,119,122,130,143,148,159,166,176,314,319,328,340,348,355,362,374,380,389,399,411,420,428,437,438,451,603,615,621,634,640,651,659,661,677,681,689,700,703,712,726,735,744,749,759,770,776,780,792,801,807,817,830,837,844,850,859,871,878,890,891,905,909,919,931,937,942,953,967,973,982,991,1001,1009,1017,1023,1033,1039,1052,1061,1066,1076,1085,1090,1101,1106,1120,1125,1137,1139,1155,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,28,36,43,51,67,75,79,85,97,110,116,123,132,137,146,159,168,171,314,320,334,336,349,358,369,371,379,386,402,411,419,423,430,444,599,605,610,619,632,639,645,655,662,670,681,690,701,709,717,727,737,743,748,758,767,773,788,795,801,806,822,830,831,843,853,861,873,875,887,891,901,914,919,933,941,950,951,964,970,983,987,997,1005,1018,1020,1033,1036,1046,1061,1065,1075,1087,1090,1096,1106,1117,1129,1131,1140,1151,1159,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,24,33,37,47,53,63,69,84,88,97,108,113,121,133,143,146,159,170,174,200,318,326,339,346,358,362,376,378,393,398,403,414,421,437,442,452,607,610,623,627,636,649,652,668,671,682,692,701,707,716,722,735,738,747,755,769,773,787,789,804,807,822,830,839,840,850,862,868,876,887,893,904,911,921,930,935,949,954,967,973,981,991,999,1005,1016,1020,1028,1037,1050,1057,1067,1073,1083,1088,1100,1107,1113,1129,1136,1139,1155,1158,1164	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,16,22,29,35,46,59,63,76,78,86,96,103,116,119,128,144,152,158,166,177,181,320,330,335,346,356,367,372,384,388,395,412,413,428,433,446,453,605,617,621,630,641,644,656,661,672,680,692,700,711,712,726,734,745,754,759,763,773,783,792,803,808,819,829,836,844,856,859,868,879,887,892,907,912,919,930,935,948,953,960,969,984,992,997,1003,1011,1026,1028,1044,1050,1054,1065,1073,1084,1094,1098,1110,1115,1130,1131,1141,1151,1161,1166	1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,14,20,30,34,47,54,63,68,82,87,97,107,115,121,129,144,147,156,170,175,191,318,329,340,346,355,363,372,383,392,398,408,415,422,429,441,599,601,610,620,626,642,651,657,664,676,678,686,698,707,715,723,729,744,754,760,770,776,786,791,805,806,821,823,833,848,855,858,865,874,890,894,903,913,921,932,939,946,953,964,970,983,989,999,1006,1013,1023,1028,1039,1051,1056,1065,1071,1082,1092,1102,1105,1120,1125,1131,1145,1152,1160,1165,1175	0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,21,30,40,47,53,60,75,82,93,94,110,115,126,133,142,146,161,164,173,188,324,328,341,345,352,361,371,379,389,403,409,417,424,429,443,457,609,612,623,633,636,646,657,666,669,680,693,700,708,712,721,731,741,751,756,770,779,786,794,801,810,822,829,837,847,849,865,866,875,882,897,906,915,922,933,939,946,954,962,974,983,992,996,1003,1015,1024,1036,1041,1051,1057,1063,1072,1082,1090,1103,1111,1118,1127,1136,1144,1152,1161,1170	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,22,31,39,46,54,66,74,79,92,97,104,117,124,136,139,145,156,169,174,191,321,327,340,344,355,363,373,381,394,401,408,414,422,433,445,457,602,609,619,631,640,650,652,660,674,679,688,703,704,713,724,729,742,753,761,764,780,783,793,801,812,815,830,838,840,853,857,871,874,887,899,903,916,923,926,934,945,953,966,974,979,986,994,1002,1016,1021,1030,1038,1048,1054,1067,1077,1085,1094,1102,1109,1115,1129,1137,1144,1153,1159,1172,1176	0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,24,29,40,43,54,62,68,81,88,100,105,117,126,135,139,152,159,167,171,189,326,330,337,350,357,366,374,382,395,403,406,414,424,435,441,460,606,612,618,632,637,649,659,662,675,681,686,697,710,719,726,734,740,751,757,765,772,786,795,805,806,816,825,835,845,849,864,871,877,886,897,906,915,919,928,935,948,956,964,969,981,989,999,1005,1016,1024,1033,1043,1045,1061,1066,1071,1080,1088,1100,1105,1114,1125,1132,1144,1154,1164,1171,1176	1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0
1,9,17,27,41,50,55,60,71,83,90,96,104,113,119,130,137,148,161,162,175,183,318,327,339,348,359,368,377,380,387,395,407,419,428,431,443,597,605,614,625,628,641,646,654,666,670,680,692,702,707,715,726,731,744,753,755,764,772,781,791,803,809,822,824,831,841,854,862,872,877,886,898,903,913,921,930,936,943,955,967,973,980,988,998,1003,1012,1027,1030,1044,1052,1055,1065,1072,1083,1089,1098,1113,1118,1128,1131,1138,1154,1160,1164,1176	0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,18,29,42,48,53,63,76,78,87,97,104,116,124,133,142,153,161,166,172,186,325,334,337,344,360,368,371,385,389,401,407,413,422,433,441,466,608,613,621,629,636,651,655,662,674,682,693,696,708,714,727,732,743,750,754,769,778,788,796,803,809,817,824,836,844,852,862,872,879,891,893,900,911,924,931,936,944,957,965,968,984,988,995,1005,1014,1022,1035,1044,1052,1053,1063,1076,1080,1092,1101,1108,1121,1127,1138,1139,1153,1163,1171,1177	0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,13,25,31,42,43,53,67,70,80,89,97,104,112,122,131,142,151,161,164,175,317,318,328,340,345,356,361,370,385,388,395,407,417,421,432,439,454,606,616,622,630,637,650,654,664,674,683,692,699,703,718,725,735,738,751,759,765,771,786,791,801,807,815,823,834,842,856,860,867,878,888,893,899,915,921,928,941,948,959,961,970,980,993,995,1003,1012,1021,1034,1039,1045,1057,1063,1070,1086,1087,1102,1111,1116,1128,1132,1138,1153,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,17,28,39,48,59,65,68,78,90,96,103,117,125,132,140,149,160,170,171,190,326,327,337,346,353,368,377,378,388,397,405,416,428,431,441,597,604,610,625,628,637,646,655,660,676,683,691,700,710,714,723,735,745,749,761,765,780,787,795,804,812,819,830,836,846,856,863,870,882,889,895,904,916,919,929,938,950,958,964,975,982,991,995,1004,1017,1020,1036,1041,1051,1061,1064,1072,1082,1091,1102,1108,1114,1125,1132,1140,1148,1164,1167,1177	0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
6,10,24,27,37,47,53,64,71,81,93,96,110,118,124,132,141,147,160,168,175,183,320,328,336,346,354,368,372,381,393,400,403,417,421,433,441,598,602,617,621,634,641,644,654,667,677,678,687,697,711,715,723,735,741,748,756,764,773,788,790,803,808,814,829,837,844,856,860,874,880,890,893,906,908,919,930,938,949,955,963,972,982,992,997,1007,1017,1023,1033,1041,1053,1055,1066,1075,1085,1087,1097,1105,1113,1125,1135,1145,1154,1159,1168,1178	0,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,17,24,27,34,43,55,64,75,79,86,97,102,111,123,132,137,148,159,166,172,182,322,334,340,343,352,362,371,379,390,396,403,415,421,436,438,447,602,610,622,630,642,648,660,661,674,678,690,701,709,714,726,731,744,753,758,767,778,785,789,799,811,816,829,831,840,853,865,869,875,883,893,904,910,923,929,938,946,957,961,972,982,987,995,1009,1017,1021,1028,1038,1045,1059,1068,1077,1085,1090,1102,1112,1120,1122,1130,1145,1147,1159,1170	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,22,29,37,46,59,67,70,81,90,94,110,111,125,129,141,152,159,164,174,185,325,328,341,347,358,368,370,384,392,398,403,418,422,437,438,457,602,617,622,629,637,649,657,665,676,686,690,696,709,712,726,734,745,747,757,769,777,781,790,800,812,820,830,839,845,851,859,870,880,883,896,905,912,921,932,942,948,955,963,974,983,990,1000,1005,1017,1023,1029,1043,1045,1060,1066,1078,1083,1092,1096,1108,1115,1126,1138,1142,1153,1161,1170	1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,10,24,27,34,45,58,61,74,81,89,95,109,115,122,128,142,151,158,169,172,195,319,334,337,344,359,366,376,379,386,398,409,417,426,437,445,599,606,611,622,631,637,651,658,664,670,680,692,697,705,712,728,736,741,749,762,769,772,787,797,804,812,815,829,832,842,850,858,871,881,887,897,906,909,918,926,940,948,951,961,974,985,990,997,1006,1013,1026,1034,1043,1046,1054,1065,1075,1084,1090,1102,1108,1120,1123,1137,1140,1153,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,25,30,36,43,55,65,69,82,90,96,105,112,123,131,138,150,156,165,179,187,325,326,336,345,354,364,375,384,386,395,406,416,424,435,445,452,606,609,623,632,635,648,654,663,674,684,686,698,708,716,726,734,743,748,755,771,772,783,793,799,813,814,826,836,840,853,862,870,876,883,894,908,914,919,933,937,950,957,965,975,982,992,995,1008,1015,1022,1035,1042,1047,1058,1063,1071,1083,1095,1097,1108,1118,1128,1132,1146,1149,1163,1171,1174	1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,18,27,41,46,55,64,72,82,88,94,104,118,122,128,137,152,159,163,171,317,318,327,335,350,356,366,377,384,388,401,405,416,427,435,440,599,603,617,620,631,637,649,658,662,669,682,687,699,705,716,728,734,744,753,757,767,772,788,789,799,806,815,828,839,847,852,860,868,874,888,893,905,910,924,929,942,947,958,962,975,978,993,1001,1007,1018,1021,1033,1042,1048,1060,1064,1072,1082,1091,1101,1105,1118,1121,1134,1146,1150,1163,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,27,35,44,55,60,69,78,86,98,108,113,125,132,142,152,159,163,178,317,320,334,335,347,359,362,371,385,392,395,404,417,421,437,444,450,604,617,622,633,638,645,653,661,677,684,686,702,709,718,723,731,742,754,756,765,773,788,789,804,809,821,831,835,847,852,858,873,877,885,897,900,916,918,933,935,949,959,967,970,980,992,996,1009,1012,1023,1032,1040,1050,1060,1068,1072,1082,1095,1103,1112,1115,1122,1134,1143,1147,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,32,41,50,51,68,69,84,91,95,110,111,125,135,144,149,159,167,171,316,319,331,336,348,352,365,370,382,390,400,408,420,423,434,442,451,601,616,619,631,639,651,654,668,676,685,690,698,710,713,724,732,744,753,758,768,777,781,793,800,810,814,829,839,845,851,858,871,879,887,893,903,912,917,931,937,943,953,963,976,979,992,1001,1007,1014,1020,1032,1038,1051,1054,1067,1078,1080,1095,1103,1107,1117,1126,1131,1143,1148,1157,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,17,32,34,45,52,64,68,85,87,96,108,118,122,134,138,147,154,164,177,314,323,329,343,351,354,368,372,383,392,399,404,413,420,430,444,597,605,617,623,629,641,643,656,667,672,681,691,701,709,713,727,733,744,752,756,763,774,780,791,802,806,817,824,833,842,850,862,869,878,889,893,907,912,920,926,935,945,958,966,973,978,987,999,1006,1014,1026,1035,1037,1052,1059,1069,1074,1081,1088,1103,1106,1120,1125,1130,1142,1152,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,21,33,39,51,53,61,76,82,90,97,107,115,127,130,138,145,160,162,173,315,324,335,343,344,354,362,375,382,390,396,408,414,421,431,442,599,602,611,624,631,638,649,658,661,671,679,691,700,708,712,727,731,741,749,756,765,774,787,796,798,810,815,830,834,845,848,858,868,879,884,891,904,915,924,929,939,950,956,963,973,977,985,997,1010,1014,1026,1032,1037,1049,1061,1066,1073,1083,1090,1100,1107,1115,1125,1138,1144,1151,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,26,39,50,53,63,72,77,86,102,107,111,119,131,143,151,161,168,173,316,321,329,341,344,359,361,372,385,387,401,407,414,428,433,441,598,603,616,622,631,635,649,652,663,676,684,692,700,705,719,722,733,738,748,755,764,778,786,793,799,809,822,830,834,845,851,857,866,879,890,896,903,910,922,926,937,949,954,961,969,984,985,997,1007,1016,1025,1030,1037,1048,1053,1063,1075,1079,1092,1097,1104,1113,1130,1135,1146,1150,1164,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,31,42,47,51,60,75,80,90,94,103,117,123,131,139,150,161,169,178,315,319,334,341,346,353,365,371,383,390,400,405,414,425,429,440,460,608,612,622,628,636,645,660,667,672,683,686,700,706,713,727,729,740,750,756,770,779,784,793,797,807,820,828,833,843,853,859,869,880,889,893,900,909,921,933,934,942,958,962,975,983,991,995,1009,1012,1025,1029,1036,1051,1058,1070,1076,1082,1096,1102,1105,1118,1123,1132,1142,1153,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,29,37,49,54,65,72,77,87,96,106,111,125,134,144,145,160,166,172,313,323,328,338,344,357,369,370,382,388,402,408,417,422,431,441,597,605,611,619,630,636,645,658,664,673,680,693,700,710,714,723,732,743,753,758,764,775,784,789,805,807,821,826,834,847,856,865,870,882,891,892,907,909,917,933,939,944,952,961,970,979,985,1001,1007,1011,1025,1033,1040,1047,1057,1064,1078,1087,1094,1104,1108,1115,1123,1133,1144,1152,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,32,37,43,51,64,68,80,85,99,106,118,126,134,140,152,161,166,177,314,320,331,336,350,360,365,376,380,393,398,406,415,420,436,438,596,605,610,618,627,638,650,659,669,674,685,694,701,704,718,720,729,743,746,758,770,774,788,795,804,813,821,823,839,843,851,858,870,881,890,891,904,912,917,925,939,945,958,966,970,980,989,996,1004,1011,1027,1031,1044,1053,1060,1062,1075,1084,1087,1100,1109,1116,1129,1136,1143,1154,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
7,15,22,33,38,49,51,65,75,82,92,98,106,114,124,132,142,148,160,165,173,317,318,329,340,352,360,365,376,380,387,402,408,418,421,432,444,463,608,610,618,634,639,650,653,667,671,682,687,700,703,717,727,735,737,751,761,763,773,784,796,798,810,822,824,831,840,850,862,866,877,887,899,904,908,921,932,937,949,958,960,969,977,986,1001,1004,1018,1026,1028,1044,1051,1057,1064,1073,1087,1091,1098,1109,1116,1129,1137,1141,1151,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,33,38,45,55,63,71,77,85,101,108,117,126,131,140,149,155,163,171,314,323,334,338,348,354,365,374,380,389,402,411,416,426,437,439,447,601,615,620,627,635,649,652,661,670,678,694,697,707,715,720,735,738,754,756,765,777,782,793,798,806,820,829,832,845,850,860,872,875,888,895,907,912,925,930,936,950,955,960,969,978,991,998,1009,1016,1025,1029,1037,1049,1059,1066,1073,1081,1089,1100,1110,1113,1128,1130,1138,1154,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,28,37,49,56,62,72,77,86,94,109,115,125,132,144,149,161,167,173,313,326,328,342,344,357,366,369,381,390,403,408,416,428,433,441,599,606,612,619,627,638,651,656,667,670,678,689,696,706,714,725,732,745,748,761,770,772,783,796,798,810,818,825,833,841,855,861,874,878,882,893,905,909,921,931,941,947,959,966,969,976,992,1001,1010,1013,1025,1035,1039,1045,1058,1069,1071,1082,1095,1098,1111,1114,1129,1133,1144,1153,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,25,37,47,51,64,69,78,93,98,110,114,125,129,141,148,154,164,177,314,318,332,340,344,355,362,369,380,391,400,408,416,424,432,441,467,607,611,625,630,641,647,653,666,676,677,687,695,707,714,726,730,737,749,759,769,776,784,795,804,809,821,826,834,843,848,863,867,877,883,897,900,909,919,929,942,943,952,960,969,980,986,1001,1002,1013,1021,1030,1044,1049,1057,1062,1076,1086,1091,1103,1108,1113,1122,1134,1145,1153,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,32,36,45,53,64,71,83,91,98,110,111,120,130,142,148,159,163,173,185,320,329,337,352,360,363,374,386,387,397,407,414,427,432,439,600,601,612,622,631,638,646,660,666,670,681,692,703,706,714,720,735,745,752,760,767,772,787,795,803,811,815,829,835,847,855,861,872,881,889,893,902,908,922,930,939,942,952,964,971,980,992,1001,1006,1014,1019,1030,1037,1051,1059,1062,1070,1079,1093,1100,1106,1116,1123,1130,1144,1154,1164,1166,1178	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,27,42,51,57,67,71,79,93,102,109,116,126,135,143,146,160,166,172,315,318,329,337,348,355,365,375,384,393,403,409,414,423,436,440,596,602,613,622,628,638,646,657,661,676,679,691,701,703,713,724,732,738,750,762,767,774,787,792,805,807,822,825,837,844,850,857,866,874,883,899,900,913,923,930,939,945,954,961,968,978,985,994,1009,1017,1024,1032,1043,1050,1060,1067,1076,1087,1093,1097,1112,1117,1123,1132,1145,1152,1156,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,33,39,51,55,65,76,81,87,99,103,117,124,133,141,150,154,163,178,314,319,331,335,349,354,362,372,380,394,402,404,414,426,430,437,598,608,614,625,632,641,644,654,660,677,685,694,702,710,719,721,733,741,747,759,767,780,788,793,799,809,821,830,835,844,850,860,873,876,886,892,900,911,919,933,937,946,955,959,973,980,990,993,1009,1019,1026,1033,1044,1051,1060,1064,1071,1083,1090,1097,1105,1119,1125,1138,1143,1152,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,28,41,46,56,66,72,77,86,94,106,114,119,135,139,148,154,169,172,315,322,331,342,351,360,366,375,380,386,399,406,415,422,433,438,447,602,615,622,632,643,649,655,664,676,678,687,701,711,712,725,735,744,749,762,771,779,782,790,802,810,819,823,839,841,854,857,869,881,886,897,904,912,924,928,941,943,953,961,971,980,988,1001,1003,1012,1024,1029,1036,1050,1058,1066,1077,1087,1094,1102,1113,1114,1126,1135,1141,1151,1158,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,32,38,44,57,66,72,77,90,98,108,114,120,128,140,148,154,165,173,314,325,329,335,344,358,365,370,378,393,400,410,417,423,436,438,599,604,611,624,628,641,646,656,661,670,680,691,698,706,712,722,730,738,749,755,765,777,785,789,804,809,817,829,831,847,849,858,870,878,885,896,906,908,917,932,938,949,958,960,973,981,993,994,1002,1016,1027,1029,1038,1047,1053,1064,1071,1080,1088,1100,1112,1118,1129,1132,1139,1153,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,25,27,41,43,58,63,71,85,88,94,108,113,122,132,138,146,157,169,176,313,324,329,340,350,357,368,370,382,389,399,403,415,426,432,442,600,604,613,622,634,637,650,654,664,669,682,689,697,710,715,726,734,745,746,758,769,773,780,788,801,813,814,824,835,845,855,860,869,876,890,899,905,910,924,926,935,945,958,961,971,978,991,1001,1005,1015,1026,1032,1042,1047,1060,1068,1079,1082,1096,1097,1112,1114,1127,1135,1146,1153,1164,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,33,37,50,56,60,72,79,86,102,110,113,120,134,144,153,155,162,174,315,321,329,340,350,360,361,374,378,394,396,403,416,426,435,441,462,604,613,620,627,643,646,659,667,675,681,690,701,707,714,724,729,745,748,760,765,772,787,795,797,809,821,825,834,841,851,857,870,879,886,892,907,913,922,928,940,942,957,965,975,977,989,1001,1006,1017,1019,1034,1037,1051,1056,1064,1078,1086,1089,1096,1109,1114,1125,1132,1144,1149,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,32,40,50,52,60,72,78,93,98,105,119,126,136,138,149,154,162,175,313,318,333,343,352,356,361,372,386,388,395,407,413,426,437,444,600,605,611,618,628,640,646,655,666,673,682,686,701,705,712,723,735,741,751,757,770,772,782,794,798,805,814,829,836,842,849,859,872,875,889,894,905,909,925,928,934,944,955,962,968,982,985,1000,1007,1017,1022,1034,1043,1052,1061,1063,1072,1082,1088,1103,1112,1120,1126,1137,1145,1147,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,18,29,34,47,57,67,76,77,89,99,109,118,127,133,137,147,158,163,172,314,324,335,341,345,353,365,377,378,388,397,406,418,420,437,445,459,604,612,618,633,640,648,654,666,674,678,694,698,711,714,723,731,737,753,757,769,773,783,795,803,812,819,823,837,843,849,865,869,877,882,899,907,909,923,927,942,950,957,964,971,980,987,994,1007,1011,1019,1028,1036,1048,1058,1063,1074,1082,1091,1098,1109,1116,1123,1132,1142,1153,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,26,37,44,56,68,75,80,86,101,106,113,122,134,140,146,160,166,177,314,322,328,342,348,359,361,377,382,388,397,403,419,429,433,446,599,602,613,624,628,640,650,655,661,675,685,689,696,708,717,723,733,745,754,757,767,775,780,793,805,811,819,827,834,843,852,857,866,882,885,897,902,915,924,926,936,949,953,960,973,984,993,1001,1002,1018,1021,1036,1042,1049,1058,1063,1075,1084,1092,1097,1111,1116,1124,1133,1144,1148,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,31,37,50,52,68,69,81,88,96,109,114,122,130,141,151,159,164,173,314,326,328,340,344,356,363,374,385,392,399,403,417,427,432,445,597,601,612,620,626,639,650,654,661,674,681,692,702,709,717,721,736,739,751,758,771,778,785,793,804,806,817,826,831,844,852,863,872,875,890,895,899,912,918,928,941,948,959,962,975,980,986,997,1006,1018,1022,1031,1043,1048,1059,1063,1078,1082,1094,1098,1106,1116,1129,1133,1141,1147,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,28,35,47,52,60,71,83,85,98,105,119,121,130,143,152,156,163,175,317,323,326,340,352,356,366,373,384,393,400,403,416,421,432,444,596,606,617,619,630,639,645,652,661,674,678,690,695,710,714,722,734,743,753,755,764,773,785,796,802,808,817,824,839,846,851,859,871,880,889,891,906,915,923,925,941,950,956,965,975,977,985,995,1002,1016,1023,1034,1038,1052,1058,1066,1077,1079,1095,1100,1110,1119,1122,1138,1144,1154,1162,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,32,41,43,59,62,72,78,91,96,103,118,127,133,136,147,157,170,172,315,319,334,340,352,355,361,372,384,387,395,407,414,422,434,440,456,602,613,620,633,636,650,656,663,673,684,694,696,706,714,728,731,740,746,763,771,773,787,796,798,812,817,830,839,840,850,865,867,881,890,897,908,914,919,928,940,946,952,964,976,978,991,1002,1005,1011,1024,1031,1036,1048,1055,1063,1072,1081,1092,1099,1109,1120,1128,1134,1145,1147,1164,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,29,40,44,55,63,71,85,88,102,107,119,124,131,138,149,157,164,175,182,326,329,338,344,355,366,372,378,389,397,410,413,421,431,444,456,609,611,618,629,639,644,654,668,677,683,686,698,706,719,721,732,745,747,755,765,775,781,790,801,806,820,830,834,847,849,862,865,881,889,894,902,910,923,926,935,950,951,962,969,982,987,998,1007,1012,1020,1035,1041,1052,1055,1067,1074,1084,1093,1101,1108,1119,1129,1136,1140,1155,1159,1166	1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,21,32,41,44,56,67,73,85,91,100,110,114,121,131,140,153,161,162,171,199,325,327,338,351,356,369,374,378,394,398,404,416,426,430,445,597,606,617,621,633,635,645,654,662,673,678,687,696,706,718,722,737,745,748,761,763,774,788,795,800,811,818,828,839,845,852,863,866,877,889,895,900,911,921,926,939,950,957,966,970,980,987,994,1003,1017,1026,1029,1037,1050,1056,1068,1073,1082,1095,1103,1107,1117,1128,1131,1145,1149,1164,1166	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
3,14,20,30,42,45,52,64,75,83,89,96,107,118,123,133,138,147,156,163,176,193,325,333,343,348,357,364,377,378,393,395,403,419,425,432,446,598,609,610,620,630,639,650,654,660,673,686,693,703,709,713,724,730,742,754,758,764,779,782,790,802,813,818,823,833,841,850,858,867,881,883,892,906,912,922,930,939,944,956,962,972,976,991,997,1006,1019,1020,1032,1044,1051,1058,1062,1077,1080,1092,1098,1108,1118,1122,1131,1142,1150,1158,1165,1174	1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,11,24,31,41,47,59,62,72,84,90,95,104,112,126,134,144,148,159,169,174,185,326,334,335,349,354,369,376,378,392,400,412,414,423,433,446,597,608,616,620,632,636,651,660,667,675,686,688,700,708,717,720,731,737,749,756,768,774,787,796,798,809,817,827,833,843,856,860,872,882,884,891,906,909,925,929,936,948,953,966,968,982,988,999,1009,1011,1025,1030,1042,1046,1055,1065,1076,1086,1094,1099,1105,1117,1129,1132,1141,1147,1162,1171,1173	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,25,29,41,49,58,65,68,79,93,100,109,114,120,131,138,151,161,165,178,192,321,334,336,345,357,364,377,383,389,397,403,418,426,436,438,457,606,609,623,632,635,646,658,664,672,678,694,700,705,717,727,730,743,754,760,765,779,783,790,801,813,819,826,831,845,854,863,872,880,886,893,900,914,919,929,941,950,957,960,975,981,989,998,1002,1016,1025,1032,1039,1049,1061,1068,1071,1079,1093,1097,1107,1119,1125,1133,1141,1150,1156,1170	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0
0,16,18,26,37,48,58,67,75,78,88,94,107,114,127,128,141,153,154,169,171,193,325,334,342,348,358,369,374,382,387,395,412,415,426,431,445,599,608,614,622,628,636,645,656,666,673,682,689,695,709,712,720,730,739,746,760,768,779,788,796,803,810,818,831,835,840,856,859,869,874,887,894,904,910,919,929,941,944,951,962,974,979,986,999,1002,1016,1026,1036,1042,1048,1060,1067,1077,1080,1091,1098,1111,1118,1129,1137,1145,1149,1160,1168	1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,21,31,34,42,55,64,70,78,92,102,106,118,125,129,136,146,157,169,173,315,319,334,337,350,356,362,372,381,394,395,404,418,425,432,446,598,608,614,622,628,640,648,656,663,675,685,689,702,705,718,724,734,741,753,756,769,780,784,792,801,808,817,826,834,843,850,863,866,882,883,891,903,911,923,932,935,944,952,965,969,984,993,997,1004,1018,1025,1032,1042,1045,1056,1064,1079,1084,1088,1096,1106,1119,1122,1133,1143,1155,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,24,27,38,46,54,66,71,77,86,94,106,114,126,128,143,148,161,166,176,184,321,333,336,350,360,367,375,378,391,398,405,413,428,430,439,596,607,611,620,627,639,647,657,663,675,683,687,698,710,715,727,737,739,747,757,765,775,780,793,802,809,820,826,834,848,853,858,871,881,889,896,899,911,917,926,936,945,953,964,974,977,990,994,1006,1018,1020,1033,1044,1050,1053,1069,1073,1080,1092,1103,1112,1115,1129,1137,1142,1154,1160,1168	1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,21,27,35,43,53,67,76,79,89,98,107,113,124,133,137,148,159,165,174,313,326,327,341,346,360,365,377,378,390,396,408,415,422,429,441,458,606,611,618,629,641,651,660,666,672,681,693,699,710,717,722,734,739,753,760,765,775,787,788,803,811,815,824,833,845,855,857,867,877,887,893,900,909,917,929,938,950,955,964,969,980,993,996,1010,1013,1024,1034,1042,1048,1057,1065,1076,1082,1096,1102,1112,1118,1126,1138,1147,1150,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,19,32,36,45,55,65,73,77,92,96,108,117,126,135,144,146,156,166,173,184,321,329,337,346,357,366,372,381,390,396,406,418,423,435,444,456,604,616,625,628,643,647,660,663,670,681,688,700,708,720,721,729,745,750,754,769,776,784,794,798,806,814,826,833,841,853,859,871,880,887,898,905,916,920,926,939,948,957,966,972,981,990,997,1002,1013,1022,1027,1040,1045,1061,1067,1071,1081,1092,1098,1110,1115,1129,1138,1145,1153,1159,1166	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,24,26,35,48,58,62,68,80,91,94,106,116,121,134,143,145,156,169,171,189,321,329,340,346,354,368,377,385,392,401,405,416,426,433,438,450,604,612,625,627,636,646,657,663,676,681,693,695,707,720,728,730,738,748,755,765,773,784,790,800,807,814,828,839,840,857,860,872,879,884,898,906,916,924,929,938,942,952,967,973,983,993,997,1008,1010,1023,1030,1041,1047,1060,1068,1076,1081,1095,1100,1109,1114,1125,1134,1144,1150,1158,1169,1177	1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,25,31,40,50,57,62,73,79,85,102,107,117,122,134,137,152,160,163,178,182,323,328,338,344,360,361,372,384,391,396,407,417,424,432,442,457,608,616,618,634,638,647,657,668,674,683,687,698,711,718,723,734,745,749,756,767,772,785,789,805,807,819,827,834,842,849,863,866,877,882,892,907,909,921,925,937,943,957,964,972,979,988,996,1004,1011,1024,1031,1039,1051,1053,1062,1071,1084,1087,1097,1109,1113,1126,1136,1142,1147,1162,1166,1177	0,0,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
8,11,19,31,39,44,55,61,72,82,93,94,107,118,120,136,143,148,158,169,174,192,319,335,338,348,356,361,373,382,389,396,407,417,423,430,441,600,605,613,623,629,639,648,660,666,670,681,689,695,708,712,727,733,745,746,754,769,772,781,795,798,806,820,826,832,842,854,857,871,875,883,898,906,916,925,928,938,945,954,965,974,980,993,995,1010,1011,1027,1031,1044,1049,1053,1062,1079,1084,1089,1103,1108,1121,1130,1133,1141,1151,1162,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,15,20,31,38,45,56,63,74,77,93,97,107,114,126,130,136,147,156,164,171,191,319,327,339,347,355,363,370,378,390,401,408,414,428,431,443,597,606,611,625,630,635,645,659,662,676,679,687,703,711,719,721,729,739,751,758,765,777,785,793,799,812,819,824,835,842,851,859,870,881,888,896,900,911,917,929,934,947,958,965,968,977,992,997,1005,1016,1026,1030,1039,1046,1059,1065,1071,1079,1088,1096,1109,1116,1122,1130,1140,1153,1162,1166,1173	1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,12,23,33,42,43,52,60,68,80,90,96,105,118,120,134,142,152,154,169,175,186,326,331,340,345,358,363,370,378,394,396,406,414,426,437,446,597,605,609,619,630,641,646,659,661,669,680,690,697,708,714,724,729,743,751,757,771,779,784,792,803,812,816,829,835,840,856,862,871,875,889,892,905,912,920,932,936,944,956,964,971,977,988,996,1006,1011,1020,1032,1039,1049,1056,1065,1071,1086,1093,1104,1111,1114,1123,1131,1140,1151,1157,1165,1177	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
8,16,18,31,37,42,57,62,76,82,88,101,109,113,120,133,139,145,155,166,176,313,325,335,341,343,359,364,372,386,392,402,406,420,422,434,444,597,605,609,625,626,638,651,655,663,677,683,692,702,703,715,724,734,738,749,757,770,779,781,789,798,810,814,825,832,841,852,861,868,877,888,898,905,911,924,926,937,946,952,961,975,982,988,998,1008,1014,1026,1028,1042,1053,1055,1069,1071,1082,1088,1101,1110,1121,1124,1133,1146,1155,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,29,37,44,59,64,70,84,92,102,106,115,123,131,144,152,159,166,174,313,325,335,341,344,360,361,371,381,387,395,408,419,427,435,443,596,608,614,624,627,638,644,659,668,672,683,689,699,707,712,722,731,737,753,762,768,774,785,791,798,812,820,825,831,845,854,858,871,882,886,892,902,910,921,926,941,944,958,965,970,982,990,1001,1008,1011,1023,1034,1039,1049,1060,1067,1075,1081,1090,1101,1112,1120,1129,1138,1147,1153,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,27,41,44,55,64,71,80,90,95,110,115,126,133,140,148,153,167,174,314,320,334,340,345,360,369,374,385,393,401,404,419,428,433,438,468,605,610,624,626,643,651,659,667,676,678,694,696,711,712,723,734,740,751,759,764,773,781,794,798,812,818,825,835,842,852,860,869,876,885,896,904,912,925,928,938,947,959,964,969,983,990,996,1005,1017,1019,1032,1039,1049,1057,1064,1077,1086,1092,1097,1105,1120,1127,1136,1141,1155,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,33,34,46,59,64,69,79,87,96,110,112,124,136,140,148,158,164,176,315,325,330,336,350,357,362,377,383,388,402,409,418,426,436,443,462,609,615,619,630,636,647,656,666,671,679,693,699,705,716,721,736,738,747,757,765,776,785,792,804,810,816,825,838,846,851,861,869,881,883,891,906,909,916,929,940,947,955,966,973,978,989,1000,1008,1018,1022,1034,1038,1051,1061,1065,1078,1080,1088,1103,1107,1121,1129,1138,1142,1154,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,27,38,44,58,67,71,84,89,97,105,113,119,129,144,145,158,166,175,313,324,333,337,351,355,362,370,386,391,399,404,419,423,436,445,448,607,616,623,630,641,645,655,665,671,681,692,697,707,715,722,731,737,746,759,766,773,783,789,803,809,816,827,837,840,850,864,873,878,884,893,905,913,918,928,936,942,957,962,968,982,987,1000,1005,1011,1025,1035,1041,1048,1060,1065,1078,1084,1089,1099,1109,1121,1126,1130,1141,1155,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,32,35,48,59,67,71,76,91,100,103,116,120,136,138,145,159,170,173,313,322,326,343,347,357,365,374,384,395,397,404,419,422,431,438,457,605,609,624,627,639,650,659,667,671,679,687,702,703,719,723,729,737,746,758,766,773,788,790,800,806,820,828,835,842,851,862,866,882,888,899,902,912,919,925,935,947,951,965,975,982,989,999,1006,1012,1025,1028,1041,1052,1056,1067,1075,1082,1087,1099,1106,1120,1130,1138,1146,1149,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,24,32,37,47,53,61,76,80,93,95,108,113,124,134,142,153,161,165,179,313,324,334,343,349,354,366,373,381,386,398,408,415,427,432,440,471,609,613,620,633,642,651,657,666,672,685,692,700,709,719,721,732,743,753,757,765,780,781,789,802,811,815,824,833,846,849,864,870,878,886,897,907,908,923,927,937,945,952,963,970,980,985,995,1009,1012,1023,1030,1041,1047,1060,1063,1076,1084,1091,1099,1111,1119,1129,1138,1146,1152,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,25,38,45,55,66,75,83,90,101,104,117,121,133,142,153,155,163,173,317,322,326,337,346,353,363,370,384,391,399,406,416,426,436,438,457,608,614,622,630,642,651,655,667,677,684,687,698,711,718,720,733,744,749,758,764,775,786,789,803,808,822,827,834,844,851,865,866,876,884,891,907,911,917,930,935,948,957,959,970,985,988,999,1009,1015,1024,1032,1039,1053,1060,1065,1075,1081,1094,1101,1105,1120,1123,1138,1142,1148,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,27,35,48,57,64,70,83,85,97,108,112,126,134,140,147,155,168,172,188,324,333,338,347,360,361,377,379,390,402,408,414,423,431,446,596,604,613,623,629,640,652,654,665,669,681,693,698,705,714,727,736,742,754,758,767,776,788,793,803,810,815,829,839,847,849,864,873,881,888,892,900,911,924,931,934,948,951,963,975,979,993,999,1003,1013,1022,1030,1039,1052,1062,1065,1070,1082,1088,1097,1107,1117,1126,1137,1141,1147,1157,1167	0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,9,18,33,36,47,55,60,76,82,91,98,105,111,123,132,137,151,156,167,179,316,318,327,341,350,356,369,378,383,392,397,411,419,428,431,446,598,603,610,625,626,640,648,659,667,676,680,692,697,706,712,727,730,741,748,755,764,771,782,791,801,808,819,830,836,842,850,858,871,877,884,892,904,915,917,933,940,950,958,962,968,983,993,994,1008,1013,1022,1030,1044,1046,1059,1063,1079,1082,1091,1100,1106,1120,1125,1133,1145,1150,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,27,41,45,54,61,71,82,89,95,105,111,126,129,144,153,160,164,178,313,319,327,343,348,355,362,375,384,394,401,410,413,424,432,442,597,607,613,622,633,638,646,660,661,670,685,686,697,708,717,724,729,741,746,762,766,779,782,789,799,811,817,827,835,844,851,858,872,882,887,892,900,912,923,929,937,945,952,965,971,983,987,997,1008,1011,1021,1030,1041,1051,1059,1069,1073,1087,1089,1104,1108,1118,1126,1136,1142,1149,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,28,39,50,56,62,69,82,89,100,106,113,127,132,139,153,155,163,171,316,320,327,337,351,360,362,370,380,394,398,404,420,427,429,438,447,604,617,621,630,636,651,655,668,673,678,692,697,708,714,723,733,742,753,760,765,772,783,789,802,807,815,825,831,840,849,857,867,879,884,899,900,910,916,933,939,943,954,963,974,982,993,999,1003,1011,1024,1034,1039,1052,1061,1068,1075,1085,1091,1096,1107,1117,1129,1138,1146,1150,1156,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,33,42,50,55,62,75,80,92,96,102,115,122,133,137,148,161,169,175,316,318,328,337,350,360,368,373,384,387,403,404,420,425,432,439,451,608,617,618,633,639,652,654,667,673,677,692,694,703,716,727,732,742,750,759,769,776,787,795,800,807,816,823,838,842,851,864,869,880,890,893,900,909,918,932,939,948,955,965,974,982,986,999,1007,1015,1022,1031,1040,1048,1057,1062,1076,1081,1091,1099,1111,1117,1128,1138,1140,1152,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,26,36,43,58,63,72,81,86,99,103,111,121,133,140,151,156,164,171,189,322,333,338,345,357,367,371,384,394,395,410,415,422,430,440,598,601,613,623,629,639,649,660,661,676,683,691,699,703,718,721,735,742,752,758,765,778,781,790,799,809,820,831,837,841,853,861,869,875,886,898,907,913,922,933,934,949,959,961,971,984,991,994,1010,1013,1019,1028,1044,1050,1059,1067,1075,1087,1090,1103,1112,1116,1122,1130,1142,1149,1159,1170,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,22,28,41,47,54,65,76,82,86,95,108,118,123,132,143,152,155,170,174,317,321,332,342,350,358,368,372,381,393,402,405,413,426,429,439,447,607,615,618,630,636,650,657,665,671,677,686,696,710,718,720,735,745,751,759,766,777,784,795,800,811,817,826,839,842,856,862,873,874,883,898,900,910,918,933,941,950,957,967,969,977,985,1001,1002,1012,1026,1036,1039,1050,1059,1066,1074,1080,1093,1098,1111,1117,1123,1131,1141,1147,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,32,34,45,53,67,73,78,85,97,110,116,126,133,143,150,154,170,179,314,326,329,343,348,356,363,375,378,394,398,407,419,428,435,445,598,603,617,622,634,643,649,658,662,674,682,691,695,703,714,722,733,744,747,755,768,775,788,794,797,806,822,824,836,843,851,862,869,877,883,897,902,910,920,929,940,948,956,964,975,976,989,996,1008,1016,1027,1032,1041,1046,1060,1067,1074,1082,1092,1103,1108,1119,1123,1132,1141,1153,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,18,32,39,49,55,66,74,85,90,97,103,114,127,134,138,152,160,168,176,315,325,334,338,352,353,364,372,380,390,402,406,416,425,435,444,596,609,610,624,628,643,646,656,662,673,686,690,699,710,716,720,730,739,748,760,765,780,787,792,798,809,820,831,835,847,853,858,869,882,891,892,900,914,917,929,942,947,958,961,975,976,989,1001,1005,1011,1021,1031,1039,1049,1060,1068,1071,1083,1094,1098,1108,1121,1124,1136,1144,1150,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,32,36,47,55,63,69,79,88,99,106,111,120,128,138,145,153,163,173,314,322,334,342,345,356,366,377,381,393,399,404,414,423,435,441,465,606,610,618,633,640,648,659,662,676,680,693,700,703,715,723,736,740,753,760,766,773,780,792,798,806,820,824,832,847,853,862,871,882,883,897,901,909,919,932,937,949,953,965,970,983,991,999,1009,1010,1023,1031,1044,1046,1061,1063,1072,1081,1095,1103,1108,1120,1129,1132,1143,1154,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,29,39,47,57,67,72,77,87,94,107,118,123,129,138,146,160,163,175,316,324,327,343,345,358,366,372,380,393,399,411,414,427,437,443,598,606,617,619,631,636,648,657,661,677,683,692,698,711,715,720,734,739,754,762,768,777,785,794,798,808,820,824,832,840,852,862,865,874,885,896,903,916,920,926,939,944,959,961,971,977,987,999,1009,1011,1021,1031,1042,1046,1060,1069,1077,1085,1093,1097,1108,1113,1129,1130,1144,1150,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,20,33,35,46,59,61,71,77,90,96,103,117,124,133,138,152,157,165,175,317,322,334,339,346,355,361,370,383,389,395,411,419,421,431,438,470,606,609,623,634,639,650,659,665,670,683,693,695,706,714,722,731,738,752,759,764,773,788,790,800,809,815,827,831,843,852,858,872,878,891,894,905,909,917,931,937,949,956,964,970,981,988,1000,1006,1018,1020,1032,1042,1048,1059,1062,1076,1082,1094,1100,1108,1116,1122,1135,1142,1153,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,27,37,45,54,66,73,80,86,96,103,112,119,136,138,153,162,168,172,313,323,331,343,351,358,366,375,385,388,395,409,420,422,435,442,462,607,613,622,627,635,648,659,664,672,683,694,695,705,716,722,732,738,747,755,764,777,782,794,805,812,822,830,838,844,849,865,866,875,886,899,904,910,917,927,939,949,959,967,974,977,988,1002,1010,1011,1019,1028,1043,1048,1058,1065,1071,1082,1089,1104,1109,1116,1126,1134,1140,1148,1158,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,20,31,40,46,51,64,75,83,90,101,105,116,124,130,143,151,153,167,174,316,321,328,338,351,358,367,371,379,393,397,407,419,421,437,444,596,606,610,618,632,635,650,656,664,671,678,687,699,706,713,721,733,738,747,757,764,778,786,797,800,810,819,830,839,843,851,864,868,875,884,891,907,909,919,927,941,947,959,962,974,978,991,995,1002,1013,1021,1028,1039,1048,1058,1062,1075,1086,1093,1096,1109,1116,1123,1132,1139,1153,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,32,34,49,53,61,74,81,91,95,108,112,124,131,142,153,157,170,173,316,321,328,342,349,357,363,371,384,391,399,410,413,425,430,445,596,601,615,620,629,638,645,660,662,677,681,690,694,704,715,721,729,741,747,755,768,774,785,796,802,810,820,828,839,845,850,865,873,877,883,894,907,914,925,929,937,942,951,963,968,977,987,999,1004,1016,1020,1030,1036,1045,1059,1069,1077,1086,1092,1100,1111,1119,1122,1132,1139,1148,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,21,30,34,51,58,60,74,81,87,93,110,118,120,130,139,147,160,164,178,316,320,333,339,349,360,368,371,385,389,399,408,416,422,432,446,600,609,613,623,628,643,647,653,662,670,681,693,697,707,711,725,736,741,750,757,767,777,780,789,798,814,821,828,839,841,850,864,871,876,891,896,905,912,918,929,942,947,952,965,969,979,989,1000,1009,1011,1027,1028,1039,1047,1060,1063,1078,1085,1090,1099,1111,1115,1126,1138,1145,1152,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,30,37,49,51,62,69,82,91,97,102,113,124,129,144,145,158,168,171,317,324,330,339,344,354,367,374,380,390,397,405,419,424,430,445,600,607,614,622,629,641,651,653,663,670,679,694,698,706,715,721,732,744,751,762,764,776,784,795,799,806,817,829,834,840,856,858,870,877,886,893,904,911,923,927,935,945,959,966,969,983,985,993,1008,1018,1025,1028,1041,1048,1057,1067,1073,1087,1095,1103,1106,1116,1127,1134,1141,1154,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,24,26,42,46,55,61,71,79,86,100,106,113,122,133,145,146,159,167,170,317,319,329,339,344,359,364,376,382,388,403,407,413,421,435,440,598,602,616,620,631,642,646,655,662,677,680,691,702,705,718,720,733,741,747,756,764,775,788,793,805,811,822,830,836,845,854,857,872,881,886,891,903,913,923,930,942,950,951,962,972,984,985,1002,1010,1018,1023,1030,1040,1045,1058,1063,1078,1080,1095,1102,1109,1114,1121,1133,1146,1149,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,30,38,49,53,65,70,83,89,94,103,117,123,133,142,151,160,165,170,203,321,333,342,352,355,361,377,379,392,398,409,412,425,437,445,600,607,616,626,633,638,646,658,664,673,678,691,697,707,717,720,734,743,748,762,763,778,783,793,801,809,817,827,834,840,851,865,870,879,886,891,906,911,918,931,939,948,955,961,970,976,986,1000,1006,1015,1027,1031,1044,1048,1059,1066,1075,1083,1091,1100,1107,1115,1127,1138,1147,1152,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,19,26,42,48,55,63,68,77,88,95,110,117,125,130,139,146,161,166,176,180,325,330,336,344,358,365,375,383,393,397,411,416,427,435,438,461,602,617,621,633,638,651,652,663,674,683,690,699,704,716,726,730,738,746,761,766,779,786,790,800,812,820,829,837,846,855,863,872,882,891,894,907,914,920,931,937,946,952,961,973,979,990,999,1009,1016,1020,1030,1041,1045,1060,1064,1073,1082,1095,1104,1108,1121,1123,1131,1142,1155,1163,1167,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,17,26,42,45,56,67,71,82,89,97,104,116,123,135,142,145,156,168,174,182,326,332,335,351,354,365,376,380,391,401,406,417,427,430,442,597,607,612,618,628,641,648,654,665,670,682,687,703,705,714,726,733,742,748,755,766,777,787,791,797,806,815,823,833,842,856,861,872,882,887,896,907,912,919,932,938,947,955,962,972,983,988,1001,1010,1015,1023,1034,1044,1049,1057,1063,1076,1081,1088,1098,1108,1120,1122,1136,1145,1155,1161,1167,1174	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,21,32,34,45,56,66,75,79,92,101,103,117,127,131,144,145,157,162,171,189,323,328,335,348,353,363,370,379,394,397,406,420,429,435,441,599,608,610,623,627,642,650,659,666,669,679,690,700,711,712,726,737,741,754,759,763,772,788,794,803,809,816,823,838,840,851,864,873,876,885,893,904,909,922,929,938,942,957,960,973,978,988,1000,1008,1017,1027,1032,1037,1048,1059,1068,1077,1080,1089,1102,1106,1114,1129,1132,1141,1151,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,24,30,38,45,54,68,69,79,92,99,110,112,122,128,142,152,161,168,177,182,322,330,335,349,358,367,371,384,394,398,410,413,422,432,444,596,603,613,626,629,642,650,655,668,670,683,689,698,704,712,721,729,742,752,756,767,774,788,793,799,812,815,825,834,845,854,860,870,879,886,898,902,908,917,933,934,945,954,964,968,981,990,999,1004,1013,1024,1031,1039,1047,1054,1067,1073,1086,1095,1101,1107,1117,1122,1131,1142,1152,1161,1171	0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0
1,17,19,30,35,50,53,60,68,77,87,100,104,112,126,131,143,153,155,168,170,182,321,327,336,350,358,362,371,384,395,402,410,419,421,436,443,468,601,617,623,628,641,649,657,664,671,679,692,698,711,712,727,737,742,748,761,770,773,782,796,805,809,822,823,834,847,851,862,867,882,884,894,903,914,917,933,939,945,955,963,976,977,987,998,1008,1016,1024,1034,1043,1045,1061,1064,1076,1085,1089,1098,1107,1118,1128,1138,1139,1150,1159,1165	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,17,31,39,43,52,68,73,82,88,100,108,115,122,129,140,145,154,166,175,181,325,330,339,352,357,364,373,378,386,402,408,415,425,432,441,596,609,615,622,626,636,648,653,668,672,678,694,700,704,717,721,729,740,747,758,764,776,783,795,803,808,816,831,834,840,851,859,872,881,887,897,905,908,921,927,936,945,955,964,969,977,987,994,1006,1016,1024,1029,1038,1051,1057,1070,1071,1084,1092,1100,1111,1117,1124,1134,1142,1152,1162,1165,1175	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,21,29,38,48,53,66,73,85,92,100,110,118,125,131,141,150,161,163,176,180,325,334,342,352,357,365,375,386,394,398,409,419,423,437,445,599,605,614,624,626,639,652,656,668,676,681,690,698,703,715,724,736,745,751,760,770,776,780,792,805,811,817,824,832,845,853,864,871,882,888,897,906,916,924,925,938,946,955,960,969,979,992,997,1007,1013,1022,1033,1038,1052,1057,1068,1077,1085,1095,1102,1111,1117,1129,1134,1140,1155,1157,1168,1177	0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,20,32,40,45,56,61,68,79,89,96,103,111,122,134,141,151,155,162,175,313,320,329,337,347,358,363,373,382,394,396,408,419,428,437,439,598,609,611,618,628,636,650,659,663,671,679,690,699,706,716,722,730,741,747,759,767,779,783,789,803,809,820,829,838,840,851,861,867,881,885,897,906,916,917,927,939,946,958,962,970,979,991,995,1004,1016,1024,1032,1040,1045,1055,1070,1071,1084,1096,1099,1105,1120,1128,1132,1147,1149,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,28,37,49,53,67,74,77,92,96,105,116,119,132,143,145,160,169,171,181,322,329,336,344,355,364,377,383,389,399,407,416,426,431,444,462,601,613,623,634,643,646,658,663,670,682,688,701,703,718,725,729,741,748,761,771,774,783,789,801,811,820,830,832,847,856,859,873,879,884,893,902,909,925,930,934,945,956,959,972,979,991,993,1010,1011,1021,1033,1037,1047,1054,1064,1074,1087,1093,1100,1109,1116,1124,1134,1139,1152,1163,1166	1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,24,30,39,44,52,60,75,79,87,101,110,119,121,131,136,148,160,167,173,317,321,330,336,349,353,364,375,379,394,397,406,413,423,433,443,596,608,613,625,630,641,644,656,665,673,685,693,696,711,717,723,730,740,749,762,764,775,787,795,800,810,818,830,832,847,853,859,867,879,891,896,900,914,922,927,938,946,951,960,973,980,990,993,1007,1012,1024,1034,1037,1051,1057,1062,1078,1083,1089,1096,1108,1118,1128,1137,1139,1154,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,19,29,41,43,53,65,73,83,92,99,104,111,127,133,143,147,162,168,177,181,323,333,341,346,354,361,374,381,390,403,411,420,421,429,439,596,602,614,622,634,636,644,659,663,671,679,688,701,704,717,727,733,743,748,758,771,775,782,792,804,812,819,827,834,841,856,863,873,877,885,892,904,911,920,927,936,949,958,966,975,976,993,997,1005,1013,1021,1033,1042,1048,1059,1064,1078,1087,1092,1100,1110,1120,1124,1130,1142,1155,1159,1166,1174	1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,22,31,37,44,56,62,68,85,89,101,103,117,120,130,137,153,161,166,171,185,321,334,339,346,358,365,373,379,393,403,408,413,426,429,442,460,606,611,619,631,636,650,654,667,677,682,688,699,708,716,728,736,744,752,757,765,771,785,793,800,810,816,823,837,847,848,861,871,881,888,891,907,915,923,933,940,944,958,966,974,982,986,1002,1010,1016,1022,1028,1036,1050,1061,1062,1075,1084,1088,1101,1105,1121,1122,1136,1143,1152,1163,1171,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
6,13,25,26,40,44,54,67,71,77,85,98,105,115,126,129,136,146,155,168,171,182,319,330,343,350,355,368,369,378,387,396,411,419,426,436,443,469,606,609,623,630,637,648,655,660,673,683,692,698,708,718,724,731,739,752,755,767,773,783,789,799,809,815,827,832,848,855,860,870,881,887,896,903,911,924,930,937,942,959,962,976,983,992,996,1006,1013,1026,1029,1040,1051,1058,1062,1070,1082,1091,1098,1107,1120,1124,1132,1145,1152,1156,1171,1173	0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,22,29,40,44,53,62,72,80,88,96,105,118,119,128,144,152,156,163,175,185,318,333,337,345,360,367,377,381,393,398,404,417,429,434,438,462,609,616,625,630,643,646,659,662,676,684,687,700,710,712,721,731,741,747,761,764,777,781,790,803,811,822,824,834,841,852,864,868,876,886,897,904,911,919,929,940,945,955,966,968,979,985,995,1007,1016,1019,1031,1038,1045,1061,1062,1074,1081,1096,1104,1108,1114,1125,1135,1142,1153,1164,1171,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,24,33,42,47,54,66,69,80,88,98,102,117,124,129,142,145,159,164,174,314,318,327,338,348,357,368,377,380,387,402,411,418,421,430,444,463,603,617,623,626,636,646,652,663,674,678,693,698,707,715,728,731,738,753,759,767,773,784,790,802,811,820,830,832,845,856,863,872,882,891,892,901,909,923,929,936,949,958,960,972,981,985,998,1006,1018,1027,1028,1038,1045,1057,1068,1078,1081,1091,1104,1111,1116,1125,1131,1139,1154,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,29,40,48,59,64,74,76,89,99,105,117,126,135,137,147,154,169,170,313,325,332,337,345,355,369,372,380,389,402,408,417,426,431,445,596,608,613,620,633,641,646,660,668,673,684,687,701,711,714,720,730,742,746,757,766,771,784,792,798,810,821,828,834,840,852,859,869,876,890,896,906,914,921,933,935,947,952,963,975,984,990,1000,1009,1010,1023,1028,1036,1050,1058,1070,1072,1080,1095,1103,1106,1120,1123,1138,1146,1154,1156,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,27,42,43,59,62,71,77,88,97,109,112,123,130,139,150,154,168,171,316,318,335,337,344,353,368,375,378,394,400,407,413,426,436,445,454,601,616,625,629,639,646,659,662,669,679,688,697,706,718,722,736,739,747,757,769,771,783,796,799,807,822,830,833,843,856,861,872,879,884,893,906,914,922,929,940,949,956,963,975,981,992,999,1006,1011,1020,1030,1044,1048,1054,1064,1073,1084,1088,1099,1107,1120,1127,1137,1141,1155,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,32,34,44,57,62,74,79,92,98,108,119,123,130,137,151,154,168,175,317,322,333,337,348,358,365,373,385,394,401,411,420,426,435,445,599,601,616,625,632,635,648,659,664,671,683,690,702,704,720,728,731,738,751,762,763,779,780,794,800,809,815,827,832,845,848,860,866,875,882,891,905,910,920,927,941,946,959,963,970,977,989,1000,1010,1019,1022,1031,1039,1050,1061,1069,1073,1086,1090,1104,1107,1117,1127,1138,1142,1149,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,32,40,48,52,67,71,82,89,100,106,112,127,128,143,149,156,163,177,313,325,327,335,347,352,368,370,382,390,401,406,417,421,430,439,469,608,614,619,633,637,646,654,662,673,683,693,703,709,717,726,733,745,748,756,763,774,781,795,797,812,816,826,832,841,849,859,865,875,884,894,907,915,917,928,942,949,952,966,976,979,988,998,1004,1012,1024,1032,1043,1050,1059,1068,1074,1081,1093,1099,1111,1121,1129,1134,1144,1149,1156,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,32,34,42,57,68,70,84,86,98,103,111,120,132,144,148,162,163,176,313,322,333,338,347,353,363,376,382,388,396,410,414,421,431,446,468,602,617,624,632,637,650,652,666,669,682,687,702,710,718,722,730,738,746,755,766,779,783,793,805,809,822,825,838,843,850,862,869,879,890,898,900,916,920,928,935,945,957,966,975,983,992,996,1009,1019,1021,1034,1040,1050,1061,1066,1077,1083,1093,1104,1112,1118,1127,1137,1143,1154,1157,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,26,37,47,56,65,68,77,88,100,106,118,123,133,144,146,160,163,174,317,322,327,341,350,356,364,369,386,392,401,408,418,423,436,440,449,607,611,623,632,636,649,658,667,674,679,688,699,709,715,722,729,740,747,756,764,773,783,790,803,807,817,823,838,840,855,861,869,881,889,894,900,910,921,930,934,943,955,966,970,978,987,998,1003,1016,1024,1028,1038,1046,1055,1067,1077,1082,1091,1098,1105,1118,1126,1131,1146,1151,1156,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,29,39,47,52,66,76,79,93,94,108,112,126,129,136,152,157,167,172,317,318,331,336,348,357,369,376,385,393,403,405,414,428,435,441,596,603,617,626,630,643,649,656,661,672,683,688,696,708,713,724,734,743,748,755,768,776,784,796,802,810,818,825,839,846,854,865,873,882,886,896,905,913,917,928,934,947,956,967,968,981,988,995,1007,1016,1022,1033,1039,1048,1055,1062,1075,1082,1092,1104,1105,1120,1130,1131,1143,1155,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,26,38,45,53,67,71,84,93,98,102,115,123,134,141,150,155,169,172,190,322,332,343,346,360,366,369,379,390,400,412,419,422,433,445,466,604,613,624,633,638,649,659,669,677,686,690,699,710,713,728,736,741,753,755,764,772,787,795,798,810,817,829,836,842,853,864,867,881,890,899,905,915,919,926,938,949,958,967,970,980,988,998,1005,1015,1024,1034,1042,1049,1059,1068,1078,1083,1089,1102,1105,1120,1122,1133,1146,1152,1157,1172	1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,22,26,41,48,59,62,69,80,85,95,106,113,125,135,137,152,159,163,176,316,320,330,343,351,352,361,376,380,386,396,410,417,426,434,445,596,606,615,619,631,642,650,657,663,675,679,690,699,708,712,721,735,745,753,757,767,773,782,790,797,807,817,828,838,848,852,864,873,882,888,898,908,914,919,933,935,948,952,964,970,980,992,996,1006,1013,1027,1035,1042,1046,1055,1065,1071,1081,1094,1097,1104,1119,1125,1133,1144,1148,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,29,34,44,55,61,75,84,91,99,110,118,120,128,144,147,155,162,178,314,322,331,341,349,355,369,373,380,394,403,409,413,427,432,441,466,609,611,620,630,638,649,655,667,673,683,691,695,705,714,724,731,739,747,755,766,778,784,796,804,810,820,826,833,843,856,863,867,876,884,891,904,910,920,925,935,950,959,960,970,982,993,996,1009,1016,1023,1034,1044,1051,1061,1069,1076,1082,1089,1103,1109,1118,1127,1131,1146,1150,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,18,28,39,49,58,67,68,77,86,102,106,119,120,133,142,149,157,167,179,316,320,328,343,344,352,366,372,385,390,403,406,412,425,436,443,450,609,613,622,630,638,648,657,668,672,682,686,701,705,712,728,729,743,754,759,770,775,787,796,805,808,815,831,838,843,856,858,871,876,886,895,903,911,921,930,937,945,955,966,975,984,993,1001,1006,1016,1022,1035,1042,1047,1055,1063,1078,1083,1092,1097,1105,1115,1125,1135,1145,1147,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,30,35,49,53,67,71,80,89,94,110,115,124,134,137,150,157,168,175,313,320,329,338,351,355,367,369,379,391,398,409,419,426,432,445,597,603,615,618,635,637,644,654,664,670,683,693,697,707,716,727,729,742,747,762,764,778,782,796,803,810,815,828,837,847,854,864,867,876,886,894,900,912,925,933,937,948,956,960,968,977,985,994,1005,1018,1027,1029,1039,1048,1060,1068,1078,1086,1087,1103,1109,1117,1125,1132,1139,1153,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,23,29,38,50,55,63,68,80,86,94,109,112,126,128,140,151,155,168,172,185,324,334,335,351,354,362,370,379,387,397,403,419,428,430,440,455,604,610,625,630,639,644,655,667,671,683,687,702,704,718,726,733,739,753,761,768,772,783,796,798,809,818,826,833,845,852,864,873,875,886,893,904,913,917,925,940,950,951,963,974,980,986,995,1010,1014,1021,1033,1044,1046,1054,1067,1076,1086,1088,1102,1107,1118,1127,1135,1141,1151,1161,1169,1177	0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,21,33,37,43,53,62,70,81,92,94,103,113,128,135,145,150,157,168,173,316,326,332,339,346,353,365,371,380,394,399,408,412,427,436,442,599,601,611,621,632,641,644,656,660,676,684,692,701,703,713,722,736,737,748,762,769,773,785,796,800,808,815,826,839,847,850,858,868,880,887,897,904,913,918,927,941,948,951,961,968,976,986,998,1003,1013,1026,1032,1039,1051,1061,1066,1072,1080,1093,1100,1108,1116,1125,1138,1146,1149,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,25,32,39,46,51,63,69,79,88,95,104,112,122,129,142,149,157,162,172,314,320,328,340,348,357,363,371,381,391,401,406,418,422,437,444,596,604,617,619,628,638,651,654,663,674,680,689,696,709,719,723,729,738,750,759,770,779,788,790,803,809,820,826,832,841,856,859,871,877,890,891,904,915,916,929,940,943,952,959,971,985,988,996,1003,1012,1023,1028,1042,1050,1061,1067,1073,1086,1087,1096,1112,1118,1125,1136,1142,1152,1157,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,33,37,44,58,68,75,81,87,95,110,119,123,128,140,148,157,163,176,318,319,328,342,349,353,366,369,383,392,395,408,412,426,431,441,597,607,612,621,634,635,649,653,664,676,683,692,702,711,716,722,736,739,753,761,770,779,785,788,799,809,814,827,836,846,853,864,867,876,889,897,902,911,917,929,937,951,953,962,969,977,985,1000,1007,1011,1024,1033,1043,1049,1060,1069,1077,1083,1093,1096,1108,1119,1129,1133,1145,1149,1163,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,33,35,51,54,65,70,84,88,95,109,118,123,135,137,149,154,169,176,316,324,333,340,348,356,363,369,381,389,401,405,418,426,429,438,600,608,610,620,635,642,646,653,661,677,683,691,702,706,714,722,736,742,746,763,766,773,782,791,799,811,818,826,832,845,852,864,867,874,888,892,902,908,918,930,935,945,957,960,974,978,986,998,1010,1015,1025,1031,1044,1053,1061,1065,1079,1085,1091,1096,1112,1121,1122,1135,1140,1147,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,17,27,36,49,52,62,76,77,88,101,107,112,127,135,143,149,154,164,175,317,319,331,338,345,359,367,372,381,393,395,411,419,422,430,445,598,602,610,624,628,643,646,658,664,671,680,691,700,711,714,724,732,739,750,757,764,774,784,795,799,807,820,823,837,842,854,859,871,879,886,897,903,914,917,926,938,944,958,967,971,984,991,1001,1006,1013,1026,1029,1037,1049,1055,1070,1077,1087,1089,1096,1108,1121,1122,1135,1147,1150,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,34,41,47,52,59,76,82,85,100,102,116,120,136,139,146,153,164,172,316,320,332,339,344,357,368,375,379,391,398,405,420,428,434,437,598,607,613,620,633,638,644,659,666,669,683,694,700,705,712,726,730,738,748,754,771,775,787,793,805,807,817,831,833,840,851,863,873,880,890,893,905,911,917,929,938,947,957,965,974,978,991,996,1007,1017,1023,1033,1038,1051,1057,1067,1072,1085,1089,1104,1109,1121,1122,1133,1139,1152,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,20,32,41,49,54,60,70,77,86,95,104,115,125,135,140,152,160,163,174,316,318,332,338,347,353,362,370,383,390,403,408,417,426,435,442,597,604,617,620,634,637,650,653,666,673,685,690,701,710,713,724,734,742,753,757,763,778,783,788,801,810,819,830,833,843,852,864,866,876,890,897,903,911,923,925,933,944,954,967,970,983,993,997,1004,1012,1019,1032,1041,1045,1059,1064,1074,1080,1091,1098,1108,1121,1127,1138,1143,1147,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,28,40,44,54,62,70,80,89,98,109,116,120,132,140,146,158,162,173,315,321,333,338,345,356,366,373,384,394,402,404,416,421,436,444,598,602,613,623,631,639,644,658,667,676,682,690,695,705,712,722,731,743,752,754,766,776,782,795,801,809,816,823,839,841,856,863,872,879,889,892,906,912,922,932,934,950,954,961,969,982,990,994,1003,1011,1027,1034,1038,1051,1059,1069,1075,1085,1091,1101,1109,1117,1129,1134,1140,1148,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,29,35,43,58,62,73,81,86,94,108,114,119,135,142,151,156,166,175,314,323,330,339,347,352,368,372,381,392,400,410,416,427,431,445,600,602,613,621,632,641,645,658,661,677,684,691,700,709,718,726,735,743,747,755,767,773,781,795,798,808,820,828,837,842,854,860,869,881,884,895,901,909,919,928,936,948,953,967,968,978,990,1001,1006,1018,1022,1029,1039,1051,1061,1063,1079,1086,1091,1104,1107,1117,1124,1134,1141,1152,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,29,37,43,56,67,75,82,90,97,109,116,127,135,139,151,161,169,171,315,321,331,340,349,356,366,375,383,388,397,409,417,427,431,443,452,608,615,623,627,636,644,657,662,671,679,691,702,711,717,721,733,742,754,761,764,775,782,791,800,809,820,827,833,844,852,864,873,878,883,893,906,913,923,925,938,943,956,961,968,976,992,1001,1007,1013,1021,1031,1036,1051,1062,1064,1074,1084,1093,1101,1107,1121,1124,1135,1141,1148,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,20,32,41,45,57,59,75,84,85,98,110,111,125,132,142,152,155,170,173,316,319,334,340,347,356,365,373,383,388,403,409,417,427,433,440,455,608,611,620,630,641,646,656,664,675,680,687,697,704,712,728,729,738,751,754,764,776,787,791,798,810,819,829,832,846,851,862,873,874,888,896,907,908,918,926,939,944,958,965,968,983,989,1001,1007,1015,1026,1035,1040,1047,1057,1062,1076,1083,1094,1101,1113,1116,1125,1134,1139,1152,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,27,40,47,51,67,71,81,88,95,106,119,122,133,141,150,161,164,173,314,323,335,339,345,357,368,373,383,390,403,408,413,421,432,439,469,604,613,618,628,642,646,658,667,675,683,689,700,703,714,725,735,743,748,756,771,778,788,795,803,813,822,825,835,843,856,859,870,876,886,892,901,910,922,932,935,944,958,962,968,977,988,996,1007,1012,1023,1027,1041,1053,1060,1063,1073,1086,1093,1097,1107,1116,1123,1130,1140,1149,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,28,34,48,55,66,75,80,87,94,103,119,124,130,142,145,154,166,177,180,325,331,338,346,355,369,373,382,391,402,411,412,422,434,441,600,604,610,623,628,642,649,657,665,670,678,693,700,703,715,722,732,745,748,759,765,775,780,793,801,807,814,828,839,847,856,864,873,880,890,893,906,912,920,926,938,945,952,964,972,983,990,1000,1006,1012,1020,1036,1041,1048,1059,1064,1076,1084,1090,1099,1109,1115,1128,1131,1141,1155,1156,1169,1174	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,17,28,37,51,59,63,68,80,85,94,110,113,126,131,144,152,158,168,178,185,326,331,335,345,353,366,377,378,393,402,404,413,421,436,441,452,605,613,622,631,638,646,658,661,671,678,686,703,708,719,724,732,741,752,761,770,774,785,795,800,807,822,826,833,848,849,865,873,882,886,892,899,910,923,927,941,944,958,962,970,982,992,997,1002,1011,1019,1029,1039,1047,1054,1064,1076,1081,1093,1097,1111,1121,1125,1132,1140,1148,1157,1169	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,23,25,38,44,58,64,75,77,86,100,108,114,121,132,138,147,161,163,176,198,323,332,339,351,360,365,374,379,392,401,410,417,424,431,438,454,603,613,619,634,642,644,660,663,675,680,690,695,706,713,725,737,744,746,759,771,776,787,795,804,806,821,829,835,840,855,865,867,879,887,892,901,909,920,927,935,942,953,967,971,980,993,994,1006,1015,1027,1028,1037,1046,1057,1068,1074,1085,1094,1099,1108,1118,1129,1138,1141,1152,1158,1170,1173	1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,17,33,39,43,59,61,69,77,88,100,110,118,121,128,136,152,159,165,175,189,320,327,342,350,353,367,376,382,394,400,405,417,428,430,440,460,604,613,619,631,635,645,655,661,670,684,693,697,709,717,722,730,743,749,755,767,774,780,796,803,812,815,831,838,845,852,859,870,879,885,896,903,909,924,933,940,944,955,962,976,982,987,1000,1008,1017,1026,1033,1041,1050,1060,1068,1077,1086,1089,1103,1111,1114,1125,1138,1142,1149,1157,1172,1178	1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,14,20,32,36,48,51,64,76,83,87,94,103,115,127,133,144,149,160,163,172,189,322,332,339,351,360,366,374,384,394,402,410,413,420,435,445,599,604,613,621,630,641,650,654,665,673,682,691,697,705,714,727,733,740,753,757,768,773,782,789,799,810,821,831,834,845,854,862,865,877,889,895,903,910,921,930,939,943,956,961,968,980,991,994,1004,1018,1026,1035,1043,1047,1054,1069,1075,1084,1095,1099,1107,1119,1122,1134,1143,1155,1158,1171,1174	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,10,23,28,42,43,52,64,73,83,87,94,107,115,128,135,139,150,154,167,179,194,322,327,337,347,360,366,374,379,391,400,405,418,424,432,440,449,606,611,625,633,637,645,656,667,673,681,688,696,707,715,726,732,742,753,757,769,777,780,794,799,811,822,826,837,842,853,858,873,876,886,891,907,913,918,928,936,947,952,963,971,979,986,999,1006,1011,1027,1034,1041,1045,1059,1064,1072,1087,1095,1101,1110,1114,1128,1135,1145,1153,1158,1170,1177	1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,17,21,29,42,50,55,60,70,77,88,95,109,111,122,135,137,147,156,167,178,180,319,334,337,350,352,364,369,385,391,399,409,414,426,435,439,598,604,615,622,632,643,647,658,668,670,679,687,695,711,718,728,730,738,748,759,767,772,781,797,804,807,814,829,838,845,853,859,873,882,888,895,905,912,918,933,935,943,955,966,968,984,986,997,1008,1013,1027,1029,1037,1053,1054,1065,1074,1083,1091,1104,1105,1116,1129,1138,1142,1155,1159,1170	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,18,33,34,50,58,67,70,83,93,100,106,117,126,128,142,147,160,164,177,186,325,327,340,344,354,368,371,381,392,399,408,416,428,432,439,456,602,613,622,629,635,651,654,661,670,683,687,695,710,715,726,735,740,748,759,764,772,783,794,799,811,814,823,836,840,853,863,869,878,888,899,901,916,919,933,939,943,958,963,973,984,985,996,1006,1016,1025,1035,1041,1049,1060,1062,1076,1083,1094,1101,1110,1116,1123,1132,1141,1150,1160,1167,1175	0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,13,18,32,36,49,51,66,72,82,87,101,107,114,127,136,144,153,154,163,171,313,322,334,336,344,355,366,375,384,391,399,404,419,423,434,442,447,609,614,618,629,637,648,658,664,675,682,692,700,710,718,727,731,745,753,759,769,777,788,794,803,812,820,826,833,846,848,862,872,878,890,897,904,910,918,930,936,945,953,965,969,983,988,1001,1002,1017,1027,1034,1039,1046,1055,1065,1077,1082,1094,1097,1112,1114,1128,1133,1141,1155,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,32,41,43,54,63,73,82,86,96,103,112,123,131,142,150,156,167,176,188,321,331,337,350,357,361,376,382,389,400,409,414,425,430,439,598,609,612,620,630,642,643,656,664,671,679,693,697,705,713,725,730,745,754,755,765,779,783,796,803,807,822,825,832,844,850,863,870,874,885,891,901,912,919,927,935,944,957,959,973,976,987,995,1003,1011,1024,1030,1036,1053,1056,1069,1070,1085,1094,1099,1112,1118,1122,1133,1143,1152,1156,1169,1175	1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,9,17,32,41,46,59,66,72,83,86,97,107,115,122,130,139,147,158,167,173,182,321,328,342,348,358,364,369,384,389,395,403,418,429,432,440,468,608,617,620,632,640,649,658,667,675,685,692,699,708,720,724,737,739,748,762,765,773,785,790,800,813,814,830,836,842,852,865,869,876,887,892,902,916,920,932,937,943,951,965,971,981,986,1001,1009,1014,1024,1035,1038,1049,1054,1067,1074,1079,1095,1099,1107,1116,1127,1137,1142,1155,1160,1165	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
5,11,25,26,39,49,52,65,69,80,89,102,110,117,124,131,145,153,159,163,177,314,324,331,343,349,354,363,373,382,392,395,411,419,424,432,439,600,609,610,618,629,640,650,652,662,676,683,691,695,705,714,728,736,742,747,756,769,779,781,789,804,812,819,830,839,845,851,862,867,879,887,898,904,908,919,933,934,949,955,960,970,980,987,997,1006,1011,1019,1036,1040,1048,1061,1070,1072,1081,1093,1096,1109,1118,1125,1136,1142,1148,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,9,17,32,38,48,58,60,70,85,87,99,103,117,124,136,143,150,157,162,174,180,324,333,336,349,359,364,374,379,394,403,405,413,423,434,445,450,602,615,626,629,643,648,658,661,675,678,692,702,710,714,726,736,741,748,754,763,771,787,792,805,806,821,830,832,840,856,857,869,879,883,895,908,911,921,931,936,948,957,961,971,984,985,1000,1009,1016,1026,1034,1044,1048,1054,1062,1075,1082,1088,1103,1110,1117,1128,1136,1141,1149,1163,1164,1176	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,32,38,48,57,65,74,84,93,96,105,116,120,135,143,146,159,162,171,317,322,328,340,350,354,366,374,379,387,402,408,414,425,437,443,457,608,613,619,628,643,650,658,661,669,679,693,699,703,715,725,731,741,754,758,768,774,783,794,801,806,814,824,835,841,853,858,872,880,889,891,906,910,921,928,938,949,953,967,974,981,990,994,1005,1017,1023,1032,1040,1052,1058,1067,1075,1086,1095,1097,1107,1119,1129,1131,1146,1152,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,22,28,35,48,55,65,74,81,88,93,106,113,120,128,137,147,159,165,175,182,320,334,343,347,356,362,372,383,391,396,412,414,428,431,440,463,608,613,619,632,641,650,652,663,671,681,693,695,704,714,724,729,742,747,761,766,773,786,791,798,809,818,823,839,844,851,859,873,882,887,899,908,910,923,927,942,944,953,961,974,978,986,995,1003,1012,1019,1031,1040,1048,1053,1069,1078,1081,1093,1104,1110,1117,1129,1135,1140,1154,1156,1172,1174	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,17,30,37,44,55,62,69,85,88,100,109,113,126,129,143,151,155,162,178,315,321,331,341,344,355,362,369,381,391,399,410,418,425,429,442,597,606,612,622,629,638,650,659,660,674,679,687,694,704,718,725,730,738,752,760,771,776,782,791,800,807,819,826,835,844,853,857,872,875,883,898,903,913,918,926,942,945,951,965,969,981,990,999,1003,1014,1021,1032,1039,1047,1054,1062,1072,1080,1094,1103,1105,1121,1123,1132,1146,1153,1157,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,29,41,50,56,67,74,80,92,95,106,115,124,135,139,150,156,168,176,316,319,333,338,350,356,363,377,384,387,400,405,415,425,432,439,596,606,610,623,632,639,648,654,668,675,684,692,697,704,718,728,729,737,753,755,770,778,787,797,803,809,821,828,833,840,856,861,866,878,888,895,900,916,923,933,934,945,958,967,976,977,991,999,1009,1013,1025,1030,1037,1048,1053,1065,1076,1084,1087,1101,1106,1120,1123,1131,1146,1152,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,25,40,45,51,63,75,77,92,99,102,113,121,135,142,151,158,166,176,316,319,335,338,346,358,366,372,379,392,398,410,418,428,437,438,597,602,611,623,629,639,647,654,668,676,678,694,701,709,714,724,730,745,754,755,764,779,782,789,802,806,818,831,839,848,849,860,870,878,885,892,900,908,924,930,942,946,954,964,968,983,993,1000,1005,1012,1019,1031,1041,1050,1061,1065,1077,1080,1095,1101,1106,1119,1129,1135,1141,1154,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,25,26,34,49,54,62,70,79,91,98,105,114,120,134,144,149,161,168,178,316,323,328,337,347,359,366,370,378,394,399,406,414,425,431,445,599,602,610,618,629,640,650,655,662,674,685,690,695,707,711,727,736,745,750,755,768,771,782,797,800,808,815,829,832,841,853,858,868,877,884,895,900,912,918,931,934,946,954,962,975,984,989,995,1010,1015,1026,1035,1039,1051,1054,1062,1073,1087,1088,1103,1112,1119,1123,1137,1141,1153,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,29,36,48,58,64,74,80,86,94,104,115,123,130,137,149,156,170,175,316,318,334,338,346,356,366,377,378,388,401,409,413,427,434,439,597,603,611,620,632,637,648,657,666,671,682,693,697,710,720,728,729,739,747,761,769,777,782,790,797,813,817,830,835,846,856,861,870,879,886,898,907,914,921,931,939,947,954,959,968,981,989,1001,1008,1013,1024,1032,1039,1048,1055,1069,1077,1083,1094,1101,1105,1121,1126,1130,1146,1151,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,25,39,46,57,64,73,82,92,101,108,117,128,131,142,145,156,170,172,316,323,331,336,349,355,368,369,378,390,398,408,418,425,433,446,598,603,612,621,634,642,646,654,667,677,682,689,700,706,715,727,736,739,748,758,766,776,784,795,802,810,816,828,836,842,851,862,869,880,884,898,906,912,921,925,939,950,952,959,973,983,990,1002,1007,1019,1021,1034,1040,1049,1055,1068,1077,1081,1090,1104,1110,1115,1122,1133,1139,1153,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,25,33,41,47,58,67,69,80,87,101,104,111,120,133,138,148,159,167,178,315,326,330,341,347,355,365,371,383,386,401,407,419,428,429,438,600,606,612,623,635,641,648,653,667,670,680,694,702,710,715,723,736,739,748,755,767,772,785,793,798,809,820,829,839,840,852,863,868,878,888,899,905,913,921,927,934,948,951,964,975,983,989,1002,1006,1019,1026,1033,1038,1051,1055,1068,1072,1086,1089,1098,1108,1121,1123,1134,1142,1148,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,24,32,39,48,59,61,75,83,87,95,107,112,121,131,145,149,154,166,174,316,319,329,339,344,358,363,374,380,389,403,405,416,420,431,441,597,606,616,623,630,636,650,659,663,670,678,693,698,709,717,727,737,742,752,757,766,777,782,789,800,806,819,828,832,845,856,857,872,881,883,895,901,910,922,927,939,944,954,967,969,983,985,997,1009,1014,1021,1032,1042,1050,1061,1063,1073,1085,1094,1099,1105,1118,1130,1135,1140,1155,1162,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,17,29,41,47,55,61,75,84,88,94,110,111,128,135,139,147,161,168,173,184,323,331,339,348,360,367,374,384,393,402,405,417,420,430,443,598,604,610,618,627,637,647,654,667,669,683,690,700,707,717,720,729,742,750,757,768,773,785,796,801,809,817,829,837,846,853,864,871,879,890,895,903,914,921,931,939,945,956,961,976,985,986,999,1010,1016,1020,1030,1041,1052,1054,1069,1078,1087,1092,1103,1113,1116,1127,1133,1144,1149,1163,1170,1175	0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,12,24,33,36,44,56,61,75,80,91,94,105,114,123,134,143,146,157,170,172,314,318,333,338,349,356,369,371,386,392,399,411,412,421,436,440,596,607,614,622,632,642,647,656,663,672,679,693,697,708,717,723,729,743,750,761,768,776,787,795,799,808,822,826,839,841,852,864,873,879,885,895,903,916,924,929,936,946,952,965,975,980,988,995,1002,1016,1021,1034,1044,1053,1054,1068,1075,1086,1089,1097,1113,1118,1127,1133,1144,1155,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,26,38,42,58,61,74,83,89,94,103,117,126,134,144,148,154,165,173,315,318,333,342,346,352,369,377,379,393,399,411,414,423,435,441,596,607,612,620,630,641,647,654,665,672,679,694,696,704,719,723,735,740,746,756,766,774,783,790,803,810,814,829,831,846,851,865,871,875,890,891,904,908,921,930,942,946,958,960,976,981,987,1001,1007,1012,1025,1028,1042,1052,1056,1065,1074,1084,1094,1098,1109,1113,1126,1135,1139,1149,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,30,40,49,52,64,72,78,86,98,109,119,127,129,137,146,160,163,174,315,321,327,341,352,360,362,374,380,390,399,405,415,427,430,442,468,602,617,618,634,641,647,660,662,675,684,693,702,711,720,725,735,744,748,761,765,773,782,789,801,806,816,829,837,842,855,857,868,881,891,896,907,908,924,932,934,942,956,963,974,978,992,1000,1010,1014,1022,1035,1043,1052,1053,1064,1075,1082,1094,1103,1109,1120,1126,1137,1139,1152,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,26,39,45,57,62,73,78,88,97,103,113,123,135,138,152,155,162,171,314,318,328,342,346,357,364,370,381,393,402,411,412,424,436,440,459,604,612,625,628,640,647,654,663,672,680,687,700,703,719,721,734,745,746,760,768,773,781,790,801,813,819,825,835,848,856,859,872,875,883,897,905,911,923,928,938,950,956,962,974,982,990,999,1009,1012,1021,1032,1036,1047,1056,1066,1073,1087,1093,1102,1105,1114,1127,1134,1144,1154,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,29,39,50,55,60,71,82,89,102,105,119,126,131,141,150,156,166,175,181,324,328,336,346,352,369,373,386,389,403,408,418,427,431,441,599,602,610,618,634,642,650,655,661,669,686,691,700,707,715,726,736,745,747,756,769,778,788,793,799,808,820,827,832,844,849,857,869,880,883,898,905,911,921,929,934,950,959,964,975,978,986,998,1005,1015,1027,1032,1042,1047,1058,1069,1074,1084,1093,1098,1104,1115,1129,1138,1145,1148,1156,1171,1177	1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,12,19,32,35,47,52,62,76,78,86,97,103,118,122,131,137,147,162,164,173,313,319,330,339,351,353,368,373,384,391,401,408,418,424,432,442,461,604,612,619,627,640,645,657,668,670,683,692,702,710,719,724,732,745,753,758,765,771,780,789,802,808,819,831,836,842,855,863,871,876,884,894,899,915,916,925,934,943,953,963,975,980,990,1000,1005,1018,1021,1035,1043,1053,1060,1069,1074,1084,1091,1098,1112,1121,1124,1137,1144,1150,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,32,37,43,58,66,72,80,87,100,105,116,124,129,141,151,159,167,171,317,321,330,342,346,359,361,374,384,389,401,410,416,425,429,442,470,605,614,623,632,640,651,658,661,673,677,694,696,707,712,722,731,740,746,755,769,775,784,794,800,807,817,825,836,845,850,860,869,880,885,898,903,909,919,928,939,949,958,962,975,979,988,993,1002,1017,1020,1030,1039,1049,1053,1068,1072,1082,1090,1096,1105,1117,1124,1138,1139,1151,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,33,42,50,53,66,75,82,91,101,103,112,127,128,141,149,160,162,177,317,323,328,340,346,359,361,377,379,387,399,409,417,422,437,444,459,609,617,621,633,643,648,656,668,674,686,690,697,703,713,720,732,738,753,760,769,775,781,791,800,813,816,826,835,844,851,859,872,877,886,891,907,912,918,932,937,949,957,960,972,982,992,999,1006,1017,1022,1031,1042,1052,1059,1064,1074,1080,1088,1103,1111,1114,1129,1133,1143,1154,1160,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,25,37,42,55,61,75,81,89,94,109,111,127,134,143,146,155,169,177,315,323,331,339,352,358,361,372,378,392,395,408,418,423,432,440,468,605,609,623,630,636,648,653,663,672,679,693,697,706,715,726,730,745,746,756,767,778,787,791,800,807,817,828,832,843,853,865,866,874,887,895,905,911,920,931,940,950,954,963,970,980,991,995,1002,1017,1024,1036,1041,1050,1054,1062,1075,1086,1095,1096,1111,1119,1127,1130,1140,1153,1160,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,25,29,34,50,57,65,75,82,92,98,103,119,125,135,138,148,161,165,173,316,318,332,341,348,355,363,372,381,388,398,404,418,421,431,439,598,605,616,622,627,640,645,656,665,675,681,694,702,707,715,726,732,743,746,759,770,779,783,791,798,806,822,827,839,842,853,857,866,881,882,891,907,910,920,931,940,946,957,965,971,984,990,999,1007,1018,1027,1028,1044,1050,1060,1062,1078,1081,1089,1103,1112,1114,1122,1134,1146,1148,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,28,38,49,56,61,76,79,89,100,109,118,119,130,140,146,161,162,178,315,326,329,336,352,358,363,375,383,389,400,405,416,423,432,439,458,603,616,619,633,638,651,660,664,675,682,692,703,706,713,728,730,742,748,761,764,779,783,790,800,810,821,825,837,845,851,861,870,876,883,894,901,912,918,933,934,943,956,964,973,979,986,995,1006,1011,1019,1028,1043,1049,1056,1070,1076,1085,1095,1103,1108,1121,1126,1131,1142,1153,1160,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,32,37,46,51,60,74,80,85,100,110,115,121,134,141,149,154,165,170,313,319,330,342,344,354,361,370,383,391,403,408,417,423,431,441,598,608,615,620,629,642,643,656,660,670,681,686,695,706,715,728,737,742,750,756,769,775,780,796,799,814,819,823,839,848,852,857,869,874,884,896,906,912,918,931,942,950,958,966,971,984,992,1000,1002,1016,1021,1028,1039,1052,1056,1066,1076,1084,1087,1102,1105,1117,1123,1135,1146,1148,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,33,42,43,53,64,69,83,92,101,102,118,123,128,138,152,154,163,171,317,323,333,338,351,353,368,370,382,388,395,407,418,423,431,439,466,605,611,622,628,637,644,653,661,669,678,686,700,708,716,727,732,740,751,758,764,772,780,796,797,813,818,824,836,847,852,863,868,877,885,898,907,909,921,932,939,947,958,967,974,980,992,1000,1010,1011,1022,1029,1037,1048,1058,1068,1075,1084,1094,1102,1113,1119,1129,1136,1139,1150,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,30,38,46,51,63,74,81,93,96,110,116,122,129,139,146,160,164,175,317,319,335,339,346,357,363,373,386,391,396,407,414,426,432,441,600,608,609,623,630,640,651,660,662,669,679,692,696,709,720,724,730,738,750,754,767,777,785,791,805,808,819,830,839,844,853,862,870,878,889,896,905,909,924,928,939,950,954,960,972,977,993,1000,1010,1015,1024,1036,1039,1048,1057,1069,1073,1081,1095,1104,1112,1118,1126,1133,1147,1155,1159,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,29,35,48,53,60,71,83,88,98,102,111,125,128,137,145,155,163,179,318,321,329,337,344,353,361,372,381,392,396,406,413,426,432,439,452,601,616,622,630,638,644,653,663,674,683,691,703,708,718,723,729,737,753,760,770,777,788,795,803,807,814,827,834,843,854,862,871,879,883,897,901,911,924,926,942,947,958,960,974,978,987,993,1005,1016,1022,1033,1043,1048,1061,1062,1077,1083,1091,1103,1109,1117,1123,1136,1144,1148,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,33,38,43,56,61,74,82,86,96,110,117,121,129,140,146,161,166,175,316,320,329,339,349,358,364,371,379,390,399,411,412,425,430,446,596,606,617,618,629,638,648,658,668,672,677,693,701,705,714,720,735,738,747,756,770,776,781,796,805,813,816,825,838,841,850,862,872,878,890,895,905,914,924,928,941,945,957,961,969,984,985,997,1008,1018,1019,1035,1044,1052,1061,1068,1075,1082,1092,1103,1112,1116,1128,1135,1141,1154,1164,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,31,37,49,54,64,72,84,91,94,109,114,124,133,137,153,161,166,172,317,325,328,343,350,355,368,370,379,393,401,408,415,427,432,442,597,601,614,619,631,643,651,657,663,670,681,689,698,710,716,726,731,741,747,759,766,780,787,793,803,807,820,828,833,841,851,861,874,881,883,899,907,910,920,926,941,947,957,964,972,984,991,994,1006,1017,1026,1031,1043,1047,1058,1064,1072,1084,1089,1103,1109,1118,1127,1137,1141,1149,1159,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,139,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,30,41,43,52,66,76,84,91,95,110,112,125,133,144,148,154,166,177,204,319,332,342,347,352,368,377,380,388,401,404,413,421,429,439,465,605,612,626,633,640,651,655,668,672,684,694,697,710,713,723,733,742,746,758,771,780,781,795,801,806,816,826,833,840,850,861,873,876,888,896,907,911,917,933,939,945,953,963,969,977,986,994,1007,1013,1026,1034,1043,1045,1056,1070,1076,1083,1089,1100,1105,1119,1129,1137,1143,1154,1160,1169	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,17,31,41,49,57,64,68,80,89,99,109,112,127,130,145,147,162,165,176,189,320,333,339,345,360,364,371,382,394,400,410,415,427,430,438,599,601,612,624,630,637,648,652,664,671,685,692,696,706,713,725,732,744,749,760,767,775,782,791,801,812,816,825,837,843,855,864,869,882,888,898,906,910,922,926,938,949,957,963,972,982,986,1001,1010,1016,1022,1030,1037,1046,1057,1068,1076,1082,1090,1101,1107,1120,1122,1137,1146,1154,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,21,30,38,47,52,61,72,83,92,93,107,115,125,131,140,148,154,164,178,180,320,334,336,345,357,365,373,384,392,398,409,413,427,431,439,468,609,611,623,627,642,647,655,665,675,685,689,700,706,719,720,731,742,750,757,771,776,786,797,802,809,815,824,839,844,857,859,872,881,883,898,902,913,923,932,937,943,956,963,974,983,988,999,1008,1014,1024,1035,1042,1046,1055,1062,1077,1080,1095,1098,1106,1115,1124,1136,1146,1152,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,11,22,26,36,48,54,63,70,82,88,102,106,116,124,128,143,150,157,163,176,181,319,333,341,350,357,365,375,384,392,403,409,420,424,434,441,599,608,615,623,635,640,651,652,667,673,678,692,696,703,720,723,729,740,748,759,767,773,785,794,803,806,821,829,837,842,848,864,869,877,885,897,902,914,917,931,939,942,955,965,969,983,987,1000,1003,1014,1019,1029,1044,1052,1060,1063,1073,1084,1091,1102,1110,1116,1122,1132,1141,1148,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,34,38,46,51,66,75,80,86,101,107,112,122,133,137,153,156,163,175,180,321,329,341,344,352,364,374,378,390,395,404,419,423,435,443,469,607,610,621,629,635,648,658,667,674,678,691,701,709,717,721,733,745,747,756,768,772,783,789,804,812,818,828,831,845,851,858,872,875,885,896,900,910,917,933,937,946,951,963,971,980,993,996,1009,1011,1022,1030,1042,1045,1053,1069,1078,1087,1089,1097,1110,1114,1129,1136,1140,1153,1161,1171,1177	1,0,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,14,21,31,40,44,54,59,74,81,88,96,110,114,123,130,140,152,158,163,171,179,322,333,337,351,358,365,373,379,395,399,411,416,427,429,438,451,601,611,623,632,638,649,657,666,670,682,692,701,706,720,724,732,745,750,754,768,773,781,793,799,810,822,823,837,847,853,865,872,874,884,896,906,913,917,932,941,950,956,959,971,980,993,995,1008,1016,1022,1031,1041,1045,1056,1063,1071,1080,1092,1098,1111,1120,1122,1136,1139,1155,1162,1165,1178	0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,24,28,40,43,57,63,73,80,93,98,106,115,127,131,142,147,155,165,178,190,324,333,338,347,360,364,369,381,387,396,408,416,426,434,440,596,601,613,623,634,640,646,654,666,675,680,690,696,703,716,725,736,743,748,758,765,774,788,789,800,806,815,826,836,844,852,859,868,876,884,898,902,914,919,933,942,949,956,965,970,982,993,999,1005,1011,1019,1035,1040,1047,1058,1062,1071,1084,1088,1100,1106,1116,1127,1130,1143,1151,1164,1168,1178	1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,11,23,29,39,48,55,64,74,78,92,99,108,118,127,131,138,149,155,169,172,179,325,328,338,349,354,364,372,386,387,400,406,412,427,431,441,460,603,614,622,629,640,648,654,661,669,681,694,700,711,712,725,730,742,746,756,763,774,788,789,798,810,821,829,834,841,849,862,866,881,883,898,907,915,922,927,936,943,955,964,974,978,988,995,1008,1013,1021,1032,1043,1046,1058,1063,1073,1084,1091,1100,1108,1118,1126,1137,1144,1148,1161,1167,1174	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,21,30,39,46,54,68,73,82,92,97,110,111,127,132,141,145,162,170,172,316,321,332,336,347,358,366,374,386,389,401,410,415,428,433,439,466,605,613,626,628,635,648,652,662,674,685,691,695,710,719,726,733,746,747,758,767,772,785,792,802,807,817,827,835,846,850,861,867,875,886,896,903,908,920,927,938,944,958,960,970,979,988,997,1008,1013,1020,1033,1036,1047,1056,1063,1078,1081,1093,1104,1107,1115,1128,1137,1144,1147,1162,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,26,34,45,54,66,72,84,93,95,109,111,125,134,142,149,158,164,175,182,324,335,341,348,359,363,372,385,393,400,408,418,424,437,441,600,604,611,624,633,636,644,653,666,676,680,689,695,707,720,727,731,737,754,758,763,776,782,794,801,806,815,830,836,846,854,862,868,878,889,896,903,911,921,927,942,950,952,962,968,980,985,1000,1008,1016,1027,1036,1038,1052,1059,1063,1075,1086,1095,1102,1111,1117,1129,1136,1140,1150,1156,1166	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,18,33,42,47,56,67,73,80,91,98,102,114,123,132,142,153,157,164,172,190,322,334,337,348,359,366,377,384,386,397,409,413,427,432,446,447,603,613,623,630,641,645,657,663,670,685,694,703,708,717,723,735,741,752,761,768,772,783,792,802,807,817,827,839,841,849,864,866,874,885,892,907,915,920,929,935,943,953,966,973,978,987,994,1009,1018,1024,1036,1043,1047,1057,1062,1072,1080,1094,1098,1105,1121,1127,1133,1139,1153,1160,1166	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0
7,13,23,28,41,48,57,66,71,83,90,96,105,112,122,135,140,153,155,166,176,180,318,327,341,349,357,368,369,379,391,402,404,414,424,429,443,470,603,610,621,630,643,648,660,666,672,684,694,695,709,718,722,731,740,752,762,764,778,781,791,803,811,819,827,835,845,855,859,873,877,884,897,901,914,923,929,934,950,952,966,973,984,987,998,1004,1013,1020,1033,1040,1053,1056,1068,1079,1083,1088,1099,1106,1114,1123,1130,1139,1154,1157,1172	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,20,30,41,46,57,65,73,80,92,100,106,113,123,133,140,152,161,167,177,187,323,329,342,350,356,361,376,379,390,398,411,415,428,432,443,462,602,611,622,630,636,647,652,668,670,678,688,695,703,718,727,732,742,746,755,766,771,788,793,798,808,816,825,833,841,853,863,873,880,887,898,903,914,920,927,941,946,952,962,971,979,990,995,1006,1012,1021,1030,1043,1046,1056,1062,1078,1083,1091,1101,1105,1119,1122,1135,1143,1155,1160,1166	1,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,20,30,40,50,58,61,71,79,93,97,107,117,123,134,136,151,161,162,172,192,320,326,337,351,357,368,377,379,386,395,411,419,428,433,442,463,601,615,621,633,636,649,659,661,674,686,692,698,704,719,724,732,745,753,755,766,771,781,795,798,809,815,824,834,845,855,862,871,880,888,897,902,915,920,928,935,944,956,961,974,983,986,996,1004,1013,1021,1032,1042,1048,1055,1069,1072,1084,1088,1099,1109,1119,1123,1130,1141,1154,1161,1164,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,21,32,38,49,59,66,73,81,89,102,109,115,125,134,137,147,156,170,174,180,319,332,341,350,354,362,375,380,391,399,410,414,424,430,446,599,603,614,621,627,635,649,654,667,676,682,690,695,707,719,726,731,738,750,761,765,776,784,789,802,808,820,827,832,840,851,862,865,877,889,898,907,911,923,925,934,950,956,965,970,982,988,998,1003,1018,1021,1034,1037,1049,1055,1068,1074,1082,1091,1102,1111,1114,1129,1131,1143,1151,1159,1164	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
3,10,17,28,34,48,53,60,71,84,90,95,109,113,125,131,138,145,153,163,176,313,326,330,341,347,358,364,376,380,392,400,409,415,423,432,446,600,607,616,621,632,638,644,654,663,673,682,692,698,703,716,727,736,741,747,760,763,775,787,795,804,808,814,831,833,842,849,858,868,878,886,895,901,913,920,930,936,943,953,963,973,981,985,997,1003,1016,1022,1028,1038,1053,1058,1067,1077,1080,1093,1097,1112,1114,1125,1137,1140,1152,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,17,26,35,49,53,65,71,84,85,98,106,111,119,130,139,149,156,167,178,315,323,334,336,348,353,361,372,384,391,395,406,418,426,436,443,596,608,609,626,633,637,646,655,662,676,678,687,694,709,714,724,736,744,746,758,766,775,785,795,803,809,818,831,839,844,853,861,868,876,885,893,900,913,923,929,940,943,956,959,970,981,991,999,1006,1015,1026,1032,1040,1053,1061,1062,1078,1085,1090,1101,1108,1118,1128,1138,1147,1148,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,27,36,50,59,67,70,77,92,100,109,119,120,135,141,152,158,165,172,314,322,334,343,348,357,364,369,378,390,402,409,413,424,430,440,465,605,616,620,633,642,648,656,667,670,680,690,695,706,719,721,732,740,751,755,767,778,781,790,803,806,820,831,839,848,852,865,872,879,883,891,899,915,921,926,934,943,954,966,975,979,990,999,1009,1014,1025,1029,1041,1047,1060,1065,1071,1080,1094,1096,1106,1119,1122,1137,1144,1148,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,22,26,38,47,54,60,76,82,86,102,109,119,123,130,137,150,154,163,177,317,326,328,337,349,358,366,369,380,391,396,406,420,426,435,438,599,603,614,620,630,637,647,655,661,671,682,687,696,708,713,723,732,742,754,756,764,773,787,794,798,806,821,823,834,847,851,862,870,874,889,896,904,909,917,929,940,943,955,965,972,983,986,1000,1005,1012,1021,1027,1040,1049,1060,1066,1077,1080,1096,1099,1104,1120,1129,1134,1142,1150,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,19,29,38,43,52,62,76,79,88,98,105,114,124,136,137,148,154,168,175,314,326,332,343,349,355,365,373,378,394,401,405,415,422,436,438,467,601,617,623,630,637,644,653,663,677,680,687,697,711,713,728,730,740,748,762,768,774,784,791,799,811,819,829,837,841,850,860,867,881,889,892,906,911,924,930,936,948,951,962,972,981,991,996,1006,1013,1021,1030,1037,1052,1061,1065,1073,1081,1091,1100,1108,1120,1126,1133,1141,1149,1158,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,32,38,47,59,65,73,79,90,100,105,111,124,136,144,152,157,164,171,314,324,329,337,345,356,368,376,380,393,397,411,419,422,430,445,597,604,616,623,633,640,645,652,666,671,680,690,698,703,714,723,731,738,754,758,764,779,788,789,802,807,814,825,837,844,854,858,871,881,889,899,900,908,918,929,934,945,958,963,972,980,991,1002,1010,1014,1026,1032,1036,1045,1055,1062,1079,1083,1095,1096,1104,1115,1124,1136,1142,1149,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,28,41,44,57,61,73,77,85,97,103,116,121,130,140,145,157,162,174,313,318,332,341,347,358,366,373,379,393,398,411,420,421,432,443,598,601,615,619,627,640,647,660,669,671,680,691,697,709,712,728,729,738,754,758,769,774,787,792,802,806,819,831,838,847,851,857,865,875,884,896,903,911,924,926,942,944,954,963,974,978,988,994,1005,1012,1024,1029,1043,1049,1058,1068,1077,1083,1089,1099,1109,1121,1124,1131,1140,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,20,29,39,45,56,65,73,81,93,97,103,114,124,129,145,151,161,162,178,314,325,334,336,351,358,365,375,384,394,398,410,415,427,430,440,457,609,614,625,631,637,646,659,663,673,685,692,697,709,715,726,731,739,748,760,767,773,784,797,804,806,821,823,837,841,853,862,868,877,883,896,907,909,922,928,942,944,954,966,970,980,992,1002,1005,1018,1027,1033,1044,1047,1054,1068,1078,1085,1094,1097,1105,1116,1130,1135,1139,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,28,35,46,54,61,76,79,93,97,102,118,127,131,142,147,154,162,178,186,319,335,337,349,356,363,375,384,392,403,408,413,424,432,442,599,606,611,624,627,638,644,652,661,673,680,691,696,707,719,728,731,737,746,757,768,778,782,792,798,813,818,824,831,842,849,861,871,876,887,895,903,915,918,928,936,948,951,967,969,979,990,1001,1007,1016,1026,1036,1043,1051,1061,1067,1076,1085,1092,1104,1109,1121,1123,1133,1142,1154,1158,1172,1177	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,15,24,27,36,50,59,66,75,82,88,99,105,116,122,135,139,148,158,162,178,314,318,327,340,347,359,368,376,385,392,395,409,417,421,436,439,596,606,617,621,627,639,647,652,663,675,684,691,701,710,716,725,734,739,751,762,763,776,781,794,803,807,820,830,833,847,848,864,869,879,891,893,907,910,925,931,936,948,957,966,971,980,986,995,1004,1016,1020,1034,1042,1047,1056,1062,1076,1084,1092,1103,1107,1119,1125,1137,1144,1154,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,17,28,40,46,56,67,68,81,85,95,109,112,125,129,144,146,158,167,177,314,325,333,336,345,352,362,374,386,388,399,411,413,424,437,440,465,606,617,619,628,641,644,658,665,677,682,686,696,704,712,728,733,742,747,758,768,775,785,796,804,812,819,824,836,840,856,859,873,881,890,893,906,912,922,932,934,950,955,966,970,977,986,994,1004,1011,1024,1031,1037,1047,1056,1063,1075,1080,1091,1101,1109,1121,1124,1130,1141,1153,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,28,39,45,58,62,73,84,85,99,109,114,119,132,136,148,157,166,173,317,326,327,337,351,358,361,374,378,387,395,406,419,428,430,439,454,606,614,621,631,640,645,656,664,671,682,690,696,703,718,720,734,738,753,759,771,772,787,795,798,806,817,824,831,845,853,860,866,877,883,895,906,916,923,926,937,946,959,961,969,983,986,995,1003,1011,1020,1031,1040,1053,1059,1064,1077,1086,1093,1102,1106,1121,1125,1136,1147,1154,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,26,38,42,54,59,70,80,85,95,109,118,126,130,139,150,154,164,174,315,321,331,337,344,358,365,376,381,392,397,405,419,429,435,444,596,605,611,620,633,642,648,656,663,673,678,691,696,706,718,724,732,742,749,755,763,778,780,792,802,806,821,828,832,844,850,859,869,874,883,892,901,909,918,930,935,943,959,968,975,978,988,994,1008,1011,1021,1029,1038,1053,1059,1063,1078,1081,1092,1102,1111,1119,1129,1135,1145,1148,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,29,34,46,54,62,69,77,85,98,104,113,122,131,140,150,156,167,178,187,319,332,335,350,354,362,377,379,394,400,409,415,425,435,442,596,605,617,619,633,639,643,652,666,672,680,692,696,711,713,728,730,740,752,761,769,780,788,793,805,813,818,827,835,846,855,865,871,878,882,892,900,914,919,929,934,946,955,965,970,981,986,993,1005,1013,1024,1029,1043,1048,1061,1064,1072,1087,1088,1100,1110,1113,1128,1131,1139,1151,1156,1168	1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,20,32,36,45,59,66,76,83,85,96,104,111,126,132,140,153,154,162,173,314,323,333,336,346,354,365,371,385,387,399,412,413,424,432,443,597,606,615,624,632,636,647,654,666,670,681,689,696,706,720,727,730,741,751,760,768,779,782,789,800,814,820,830,839,842,851,860,868,875,886,898,901,908,923,927,938,947,951,967,975,982,992,995,1005,1011,1019,1036,1039,1045,1061,1065,1072,1084,1092,1102,1107,1115,1126,1132,1142,1154,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,30,35,50,54,65,68,84,86,96,103,117,125,131,137,150,160,165,174,316,325,335,337,347,358,364,376,386,392,395,412,414,425,432,440,600,606,612,623,629,641,648,660,664,677,681,686,702,709,714,720,736,743,750,755,769,776,783,789,802,810,820,823,831,841,852,859,871,878,889,899,901,913,923,925,942,947,958,964,971,983,988,995,1006,1010,1019,1034,1042,1047,1058,1063,1078,1085,1089,1100,1112,1113,1126,1135,1145,1151,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,27,35,47,52,65,71,79,87,95,107,114,121,130,144,149,153,162,177,316,319,327,337,346,353,368,378,382,386,401,403,420,421,432,443,597,601,612,621,632,635,644,652,667,670,679,689,699,703,720,725,736,739,750,760,763,772,782,793,800,806,820,825,834,847,850,861,870,876,883,891,907,912,921,925,936,943,957,962,968,983,986,997,1002,1014,1024,1029,1040,1050,1060,1067,1078,1083,1088,1104,1111,1117,1125,1130,1144,1153,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,34,35,50,54,59,75,78,91,98,107,111,121,136,139,150,161,167,171,315,324,333,342,349,354,367,369,382,390,396,409,413,422,432,437,456,606,611,621,633,639,644,657,664,669,681,694,703,707,719,726,729,745,748,755,768,777,786,790,801,814,817,828,833,848,850,864,872,881,885,897,905,911,924,929,942,950,953,965,976,977,988,1001,1002,1011,1023,1032,1038,1045,1060,1065,1078,1087,1093,1103,1112,1115,1127,1138,1142,1151,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,31,37,49,54,61,70,77,92,94,106,116,123,132,138,145,156,170,178,315,323,330,342,345,352,362,376,386,389,399,407,420,426,436,438,466,606,617,624,630,639,652,658,663,677,679,693,701,703,716,724,729,737,752,759,767,775,786,796,804,812,817,823,837,845,851,862,873,876,885,894,902,916,922,929,942,950,951,966,975,981,990,996,1004,1016,1027,1030,1044,1046,1053,1068,1075,1087,1093,1098,1111,1120,1123,1134,1142,1151,1164,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,27,39,49,58,64,70,80,89,97,108,118,127,129,144,148,157,164,177,313,325,331,339,344,354,365,376,378,391,397,407,417,421,434,441,598,606,612,624,630,635,645,656,669,673,683,689,697,709,714,727,731,739,747,755,768,773,781,795,801,809,821,823,838,842,851,859,869,880,888,895,904,908,924,933,938,947,955,966,972,983,991,995,1010,1015,1020,1034,1043,1051,1057,1068,1077,1085,1092,1104,1108,1116,1126,1130,1139,1155,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,25,27,39,49,54,61,73,80,92,100,103,114,122,136,137,146,160,168,178,314,320,333,343,347,358,367,377,380,391,402,404,420,425,431,447,596,605,612,620,629,643,648,659,665,676,685,688,700,703,717,721,729,741,753,758,771,772,785,789,804,813,822,824,837,843,853,858,868,880,883,891,903,916,918,930,939,947,953,960,972,980,991,1002,1009,1010,1023,1030,1043,1047,1061,1063,1074,1084,1090,1101,1108,1120,1124,1135,1140,1154,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,18,29,38,46,57,65,69,83,91,96,105,113,124,134,142,152,161,165,170,317,326,327,338,346,352,366,374,381,391,396,406,417,421,434,443,453,605,616,620,632,635,645,653,660,670,681,686,700,706,717,725,734,744,753,755,770,778,787,789,800,814,821,826,831,841,850,859,873,877,889,898,905,908,917,932,937,946,958,963,968,982,992,995,1006,1010,1027,1035,1038,1048,1053,1066,1073,1084,1089,1101,1110,1121,1123,1133,1142,1152,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,20,32,35,50,59,63,72,81,92,97,107,111,121,130,142,147,156,162,172,317,325,327,337,345,352,365,374,383,394,396,408,412,424,435,444,596,609,610,620,634,635,644,653,661,674,684,691,702,711,719,723,731,741,747,758,770,778,780,791,802,813,821,826,839,841,854,864,868,876,889,895,908,910,917,932,936,943,957,963,968,983,987,999,1009,1017,1023,1035,1038,1045,1061,1070,1074,1086,1088,1098,1104,1113,1129,1131,1144,1153,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,26,34,45,55,62,73,80,93,101,109,116,123,136,144,152,159,164,170,314,323,329,342,350,358,362,372,379,389,399,404,417,429,430,442,459,604,610,626,632,638,650,653,665,675,682,689,699,706,713,722,729,740,754,757,763,773,788,790,799,808,818,824,839,842,851,859,866,877,884,895,905,911,918,925,939,942,956,961,975,978,987,1001,1006,1011,1019,1036,1044,1047,1057,1062,1071,1084,1092,1097,1106,1120,1129,1132,1145,1148,1159,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,33,37,50,57,66,75,80,92,101,104,112,121,132,137,150,155,168,178,315,321,334,340,345,360,369,377,381,389,399,408,413,423,431,444,596,601,617,622,629,638,649,660,668,675,686,687,703,704,712,726,735,737,747,758,769,778,781,795,803,811,815,823,836,844,849,863,871,874,889,895,905,913,919,930,941,944,952,966,976,978,986,1001,1006,1015,1025,1035,1038,1047,1055,1066,1076,1085,1092,1099,1109,1121,1128,1131,1142,1149,1161,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,26,42,47,57,66,74,77,86,98,109,114,128,129,142,148,156,163,177,316,323,330,340,349,354,363,370,383,394,398,404,414,420,434,439,597,604,610,621,631,641,644,652,663,669,683,691,699,708,716,728,729,745,749,756,769,773,784,794,798,813,817,830,831,840,850,862,866,876,885,896,907,911,920,929,934,948,951,959,976,983,987,1001,1008,1017,1022,1031,1036,1046,1057,1064,1076,1086,1088,1104,1107,1119,1125,1131,1143,1152,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,30,39,50,53,62,69,85,91,96,110,116,123,131,143,151,156,162,175,182,319,334,341,352,356,362,373,380,391,398,410,415,424,433,441,462,604,610,619,630,638,648,653,661,673,678,690,700,706,713,723,737,744,754,757,764,775,783,794,802,807,818,826,837,846,856,864,870,878,885,892,902,911,921,930,936,947,952,965,970,978,988,994,1006,1011,1019,1033,1039,1049,1058,1069,1076,1084,1095,1103,1108,1118,1127,1137,1144,1153,1161,1165,1174	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,23,27,38,49,55,63,72,85,86,102,110,113,121,135,137,146,156,170,175,196,325,327,335,346,354,363,376,380,394,398,411,415,424,430,438,470,604,609,622,634,642,645,659,664,677,679,689,696,703,712,728,736,745,748,762,768,777,784,794,797,808,818,824,835,841,849,860,872,878,886,898,907,913,923,928,936,944,957,962,971,981,988,998,1005,1018,1027,1028,1044,1048,1058,1065,1076,1080,1090,1103,1105,1113,1126,1130,1144,1148,1159,1164,1173	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,24,33,37,45,59,64,71,82,93,101,106,116,126,128,137,153,156,162,175,185,325,334,338,345,360,368,377,380,391,395,409,420,424,435,444,600,604,609,620,630,642,647,658,666,673,678,688,701,707,716,721,734,744,752,761,767,780,784,790,797,808,821,823,837,848,853,864,867,879,888,892,905,908,924,931,937,947,958,963,970,977,985,999,1003,1016,1021,1032,1040,1049,1060,1070,1078,1086,1090,1100,1106,1121,1122,1131,1141,1149,1158,1173,1175	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,19,26,34,49,59,64,68,80,86,97,107,119,123,131,143,152,154,165,175,179,322,331,342,346,352,364,374,380,389,397,410,412,422,434,446,600,608,616,623,631,641,646,657,666,674,685,687,701,705,716,728,729,739,752,755,770,779,784,796,798,807,818,827,836,846,848,864,865,880,886,899,904,911,925,927,940,943,954,967,972,978,985,999,1003,1017,1022,1032,1040,1052,1060,1067,1074,1081,1093,1104,1105,1121,1125,1132,1140,1151,1157,1167	0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,13,21,31,35,50,52,65,69,77,90,97,105,111,125,130,142,152,158,163,177,179,320,331,336,345,357,361,371,382,388,396,411,415,427,432,445,596,601,615,620,631,642,650,658,664,674,680,691,697,709,718,722,731,737,754,756,769,778,788,797,799,814,817,824,837,845,851,861,868,881,883,899,906,914,922,929,938,949,958,961,976,983,990,1001,1007,1018,1021,1036,1038,1049,1056,1064,1074,1080,1092,1097,1110,1115,1128,1134,1141,1154,1157,1169	0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,23,31,35,50,55,61,71,81,90,99,108,119,126,134,138,149,154,164,177,185,326,329,335,347,360,367,373,385,391,397,409,413,423,433,443,596,602,612,624,628,640,649,655,666,672,684,686,695,705,716,729,736,744,749,762,764,774,787,794,799,809,816,825,833,846,849,860,866,878,885,897,899,912,924,925,935,949,952,967,968,984,986,999,1009,1015,1026,1029,1041,1045,1058,1064,1073,1085,1088,1100,1108,1117,1123,1137,1144,1148,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,17,34,40,43,51,64,72,79,89,95,102,118,121,131,137,147,161,167,170,183,325,331,342,345,360,365,376,383,388,398,408,414,429,435,440,468,606,616,624,631,639,646,659,661,670,683,693,700,705,717,726,729,740,754,757,768,778,784,794,798,807,817,828,839,848,855,857,866,877,884,896,902,913,919,929,939,945,952,962,973,980,988,995,1008,1015,1026,1033,1039,1047,1055,1064,1078,1080,1090,1097,1112,1118,1127,1137,1141,1155,1158,1171	1,0,1,1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,22,29,41,47,51,66,73,83,87,94,105,119,122,133,139,148,155,167,176,182,321,332,342,351,353,368,377,380,388,395,411,418,421,436,442,467,601,612,621,627,641,644,659,662,673,678,692,697,710,717,728,736,742,750,756,767,779,785,795,802,806,817,829,832,843,853,862,868,877,890,898,902,912,924,929,940,944,951,967,972,982,988,997,1005,1013,1020,1029,1040,1048,1057,1069,1074,1080,1091,1104,1110,1118,1128,1138,1140,1152,1161,1166,1174	0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,18,31,41,47,57,61,70,77,86,97,105,118,123,131,140,151,160,167,178,318,322,329,336,350,358,366,369,384,389,402,407,412,429,432,438,463,606,611,623,627,636,647,653,661,672,682,692,696,706,717,727,732,744,748,756,771,776,788,794,801,809,814,829,832,843,855,858,869,874,889,898,906,913,921,927,941,949,955,966,973,979,987,999,1006,1011,1025,1036,1043,1052,1056,1067,1076,1084,1093,1096,1111,1114,1123,1138,1142,1153,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,24,26,34,45,54,65,72,77,91,96,105,115,119,134,138,147,156,162,173,195,322,327,336,346,352,362,376,379,387,402,405,420,426,431,438,470,605,615,618,629,640,645,657,665,673,680,689,697,705,719,725,731,739,754,759,769,775,780,792,801,813,814,829,837,847,853,858,868,879,890,896,905,916,918,932,937,949,952,963,972,977,986,1000,1003,1017,1023,1029,1042,1051,1057,1063,1072,1083,1095,1102,1110,1119,1127,1136,1147,1148,1163,1169,1177	1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,11,17,27,41,47,53,68,70,78,92,102,108,117,126,129,141,146,154,162,176,179,326,333,339,350,353,363,376,382,387,396,408,420,425,429,438,596,603,617,620,629,640,646,660,665,672,679,694,696,705,716,723,733,737,752,756,766,774,783,793,800,812,822,827,834,848,852,858,866,877,886,895,902,912,920,933,940,945,957,965,974,984,989,997,1008,1011,1019,1028,1036,1053,1055,1066,1071,1084,1094,1100,1110,1114,1124,1133,1140,1150,1160,1172	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,11,22,32,37,49,57,60,69,81,92,97,105,118,119,133,138,146,156,166,172,186,326,327,339,351,353,365,371,383,388,399,405,417,424,434,441,597,604,610,622,634,639,649,660,663,674,686,693,701,704,712,721,731,739,749,758,769,773,782,792,798,812,821,824,835,840,850,862,869,881,888,898,900,910,921,926,938,949,958,965,969,979,986,1001,1007,1016,1025,1028,1036,1053,1060,1070,1076,1080,1095,1101,1106,1121,1122,1133,1145,1151,1157,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,11,23,28,40,45,57,61,68,78,88,96,102,113,123,133,140,152,160,169,172,186,326,332,338,349,358,361,378,379,387,395,404,418,421,431,441,465,604,612,622,634,635,651,658,662,673,685,690,697,703,717,723,736,739,747,760,768,774,780,793,802,809,819,827,839,845,850,861,871,874,884,899,908,911,920,931,934,949,957,965,972,982,985,999,1006,1016,1020,1034,1042,1048,1056,1064,1070,1080,1095,1100,1104,1121,1123,1137,1145,1150,1156,1172	0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,16,24,31,37,44,57,63,76,81,92,96,104,114,126,133,142,152,157,163,174,183,325,327,338,347,353,364,374,385,391,397,410,413,427,430,445,599,607,609,620,632,638,645,659,666,671,684,692,695,709,713,722,731,739,747,758,766,777,783,796,798,812,816,824,838,842,851,857,871,877,887,895,901,915,918,926,934,946,958,961,976,980,991,1001,1006,1019,1021,1036,1043,1048,1059,1063,1078,1082,1089,1099,1112,1119,1127,1131,1139,1155,1157,1168,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
5,16,24,32,42,44,58,65,74,82,86,96,104,119,127,129,138,146,160,168,174,187,324,328,337,352,354,362,377,383,394,401,408,416,428,429,445,596,608,614,625,633,641,650,653,663,673,681,694,697,709,712,723,729,743,753,760,766,772,780,796,805,810,817,825,838,840,854,863,867,874,884,897,900,916,924,925,936,950,955,962,975,979,989,997,1009,1016,1024,1031,1038,1050,1056,1064,1077,1083,1091,1096,1112,1121,1124,1135,1143,1155,1159,1170,1174	0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,23,30,35,43,53,64,71,81,90,96,110,112,121,128,141,152,154,166,175,313,320,333,335,345,360,366,376,381,390,395,406,412,426,434,439,599,604,616,624,628,637,647,652,665,672,684,690,696,710,716,724,733,741,746,754,763,775,787,792,803,810,820,828,832,847,850,858,868,877,884,899,901,912,918,931,936,949,952,963,974,984,988,994,1006,1014,1022,1028,1044,1048,1061,1068,1074,1082,1094,1098,1111,1115,1127,1135,1141,1153,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,21,32,40,49,53,67,73,80,89,100,105,112,125,128,139,153,158,163,174,314,321,334,340,348,354,363,372,386,392,403,408,420,428,436,441,598,603,617,621,632,639,650,652,664,677,682,687,697,707,716,722,735,740,748,759,770,780,785,791,804,809,819,828,834,847,852,861,868,877,890,896,900,910,924,926,942,948,955,963,970,976,992,1001,1009,1011,1027,1029,1044,1052,1057,1064,1077,1080,1092,1096,1110,1120,1127,1135,1145,1154,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,23,32,40,43,56,60,74,78,89,95,104,115,127,128,139,150,156,167,174,315,319,332,339,350,355,363,373,379,392,398,410,420,421,437,444,448,602,612,619,631,643,651,659,666,672,683,691,699,710,716,728,733,739,748,755,763,771,788,793,802,806,822,825,838,848,852,859,866,878,889,891,903,909,917,932,934,945,954,966,969,978,989,999,1010,1011,1021,1032,1042,1048,1056,1066,1072,1086,1095,1100,1109,1121,1128,1137,1143,1154,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,25,33,36,45,59,67,71,83,87,101,108,117,126,130,143,152,159,167,172,316,320,334,338,345,358,366,370,385,386,397,408,415,425,435,439,596,608,614,625,629,638,651,653,665,669,686,688,697,706,718,728,736,743,749,760,768,779,781,794,800,808,822,824,838,848,854,857,871,877,888,893,900,912,925,928,940,946,952,967,968,977,991,999,1009,1017,1021,1031,1037,1050,1061,1069,1078,1086,1093,1097,1108,1118,1127,1136,1147,1149,1160,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,25,33,41,42,52,65,72,81,89,102,108,118,124,128,142,151,158,166,174,315,320,329,340,345,357,364,375,386,392,401,408,415,426,437,445,462,604,611,625,634,639,648,657,662,675,682,688,697,706,719,723,731,739,748,761,763,772,787,795,798,811,821,827,832,845,854,862,871,880,889,898,899,915,920,928,940,949,952,967,969,984,991,993,1006,1015,1024,1029,1044,1047,1055,1070,1078,1085,1094,1099,1109,1121,1127,1133,1147,1155,1157,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,32,34,43,55,60,68,77,88,98,109,117,127,129,145,149,157,168,179,318,322,332,338,346,353,368,374,379,388,400,411,418,422,437,440,460,609,610,621,627,639,651,658,662,672,684,686,694,709,713,724,729,740,750,758,765,779,783,790,800,807,819,824,835,843,848,858,867,880,891,895,904,914,922,931,941,949,955,967,973,982,991,999,1005,1015,1026,1036,1044,1049,1058,1065,1074,1082,1094,1099,1107,1117,1129,1138,1146,1154,1156,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,20,30,42,47,56,67,70,79,93,97,104,113,124,135,139,148,159,169,174,313,321,333,340,344,357,369,377,379,392,395,412,418,427,436,441,600,608,617,624,632,637,651,655,666,670,679,692,700,703,713,727,732,746,749,759,768,776,785,791,801,813,822,823,832,848,852,860,867,881,886,891,902,910,923,928,937,946,954,966,974,977,990,995,1002,1016,1023,1029,1038,1052,1055,1066,1075,1085,1090,1101,1111,1116,1130,1133,1141,1149,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,30,36,48,58,60,73,77,88,99,105,111,121,136,138,150,156,166,172,313,320,329,342,350,357,361,371,385,392,399,408,417,421,437,442,597,606,617,623,633,638,645,656,667,670,684,691,698,711,712,724,735,745,753,759,766,775,785,797,803,812,822,831,833,844,850,862,873,878,887,897,907,916,917,927,939,945,953,961,969,982,989,995,1003,1018,1026,1032,1040,1047,1057,1069,1071,1081,1088,1099,1106,1119,1125,1132,1146,1151,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,29,37,49,51,65,75,79,91,99,105,113,123,128,140,146,159,165,178,184,320,330,340,344,356,367,372,385,394,399,404,417,421,433,444,596,608,615,618,633,637,647,655,665,670,679,688,702,704,718,728,736,740,752,760,769,778,785,789,801,811,819,823,837,846,850,864,873,881,886,891,903,914,921,929,939,950,953,967,973,978,987,1002,1003,1013,1022,1035,1037,1045,1060,1067,1076,1087,1095,1104,1110,1115,1124,1130,1142,1155,1158,1165	1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,14,17,33,35,50,52,62,70,84,86,95,106,112,119,134,140,146,162,168,174,316,324,329,339,347,355,367,370,378,390,397,405,416,427,431,442,599,606,613,621,628,642,646,660,666,677,685,688,696,703,718,727,735,743,750,763,771,775,788,790,799,810,822,830,833,845,854,859,870,877,889,897,907,913,922,933,937,948,952,966,970,983,992,1002,1010,1017,1027,1029,1037,1050,1062,1063,1079,1080,1095,1104,1106,1117,1125,1132,1145,1149,1164,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,17,27,42,45,58,67,76,83,88,93,108,113,122,133,138,147,161,164,176,314,322,333,338,345,360,364,376,386,388,396,406,414,424,435,442,457,602,614,623,626,642,651,656,666,674,679,693,697,704,714,726,729,740,754,755,767,772,782,790,801,808,819,830,838,843,855,862,868,876,886,893,902,909,923,933,934,950,954,963,972,982,989,995,1007,1016,1027,1033,1042,1050,1060,1063,1073,1084,1094,1098,1110,1121,1125,1135,1140,1154,1163,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,28,38,47,52,61,70,77,90,99,107,111,121,130,139,152,161,162,177,315,322,330,339,346,355,366,372,386,390,398,404,414,425,431,440,599,604,611,624,630,642,649,653,668,677,678,693,695,705,716,727,729,740,752,760,766,771,785,789,803,812,818,826,839,840,853,864,871,878,888,898,905,913,921,926,942,948,956,961,974,983,990,1000,1004,1017,1019,1033,1044,1049,1054,1068,1072,1085,1089,1104,1109,1120,1126,1138,1142,1154,1157,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,30,41,43,57,67,69,80,88,96,110,114,125,129,139,151,155,167,170,313,326,328,340,350,354,367,375,383,393,395,403,416,428,436,446,596,602,616,626,634,638,648,656,664,672,678,689,701,708,712,721,729,738,748,754,763,772,782,793,801,810,821,827,832,840,852,860,867,878,883,897,907,909,918,933,942,950,951,962,975,985,988,996,1004,1011,1022,1035,1039,1045,1059,1067,1078,1086,1092,1096,1108,1118,1122,1130,1139,1154,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,17,20,31,41,50,52,65,71,84,92,98,103,114,127,128,138,146,155,162,174,193,325,334,336,346,353,362,374,384,388,395,405,414,428,434,440,598,603,614,619,631,635,651,660,668,669,679,687,697,711,717,724,730,739,753,759,770,773,786,792,801,809,820,831,834,845,855,858,866,879,888,892,902,909,923,926,934,945,958,968,976,980,986,1002,1003,1013,1022,1032,1036,1046,1056,1068,1073,1082,1089,1102,1110,1120,1124,1131,1140,1155,1157,1170	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,21,31,35,42,56,60,76,82,88,98,107,111,119,131,137,148,160,163,178,317,325,331,340,346,353,364,374,380,393,400,407,412,426,432,443,599,601,617,619,630,638,647,654,665,674,684,693,698,708,716,721,731,742,746,757,766,772,783,790,805,814,815,827,838,840,849,861,872,878,885,899,900,910,923,927,942,947,953,960,968,982,993,997,1008,1018,1024,1028,1039,1047,1055,1067,1074,1083,1093,1101,1109,1120,1125,1137,1144,1147,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,26,41,48,53,66,70,81,92,99,109,113,119,134,140,145,156,166,178,316,325,328,338,345,355,361,374,379,394,400,409,413,428,430,444,596,606,613,619,630,636,647,652,663,674,678,693,700,705,716,722,733,739,750,756,768,775,783,792,803,807,820,827,838,845,855,859,865,877,884,892,905,912,922,927,938,948,957,961,974,979,987,996,1010,1015,1023,1031,1042,1052,1056,1065,1073,1085,1092,1097,1107,1115,1122,1130,1147,1150,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,33,38,45,53,63,72,81,87,100,102,115,123,129,137,145,158,169,175,316,322,329,343,346,354,367,371,382,395,398,405,414,421,431,442,459,606,611,623,634,641,647,657,665,677,684,686,699,704,713,721,736,741,749,762,765,774,785,791,803,809,817,826,836,844,848,859,868,875,887,899,901,916,917,933,935,946,957,961,972,981,990,993,1010,1014,1019,1035,1036,1048,1060,1065,1071,1082,1094,1101,1107,1118,1127,1131,1139,1150,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,23,33,40,46,55,62,74,77,92,94,108,118,126,129,138,150,158,163,172,318,321,334,337,351,354,364,374,381,388,399,412,415,421,434,445,600,602,612,623,628,641,649,659,669,673,682,688,698,705,712,721,730,738,753,757,768,776,784,792,803,810,818,830,836,845,849,859,872,878,886,894,905,914,918,932,938,943,953,960,972,981,990,997,1010,1015,1025,1036,1037,1046,1056,1063,1070,1080,1089,1098,1113,1115,1125,1131,1140,1149,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,27,42,48,56,60,72,77,91,97,106,112,125,128,139,152,155,169,176,314,323,327,340,349,357,361,377,378,394,397,408,418,426,436,446,597,606,614,618,631,641,650,652,663,677,685,690,698,707,719,727,729,742,753,756,769,779,785,793,803,811,819,823,835,847,855,865,868,879,890,894,908,913,920,927,935,943,952,960,972,983,989,997,1004,1011,1025,1028,1041,1051,1053,1069,1072,1081,1094,1098,1110,1119,1123,1133,1141,1152,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,27,40,46,53,66,68,80,91,94,108,112,127,133,143,148,157,168,171,313,322,331,341,346,356,365,376,381,389,401,412,415,422,437,441,598,600,614,620,627,643,647,657,666,674,685,689,701,704,714,727,737,741,751,754,766,778,785,795,799,810,822,825,839,842,854,862,872,877,886,894,905,910,924,928,935,948,953,963,968,977,985,1000,1002,1012,1019,1029,1044,1053,1056,1068,1074,1087,1090,1101,1105,1114,1127,1130,1145,1153,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,32,39,42,59,66,69,77,93,96,109,113,122,128,139,147,157,167,172,313,320,333,340,347,357,368,372,381,388,399,406,417,427,431,440,458,601,613,621,627,636,644,660,664,672,683,692,696,703,713,720,730,739,754,755,764,777,780,789,799,811,820,824,832,840,849,862,866,875,888,892,907,913,921,930,936,946,953,967,970,983,987,996,1003,1018,1020,1036,1037,1051,1056,1068,1073,1080,1090,1102,1108,1116,1128,1135,1141,1154,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,33,40,45,58,67,76,85,93,98,103,113,120,130,143,146,158,167,174,316,325,332,343,349,358,364,373,378,391,397,406,415,425,435,441,600,607,615,625,628,635,647,659,667,676,682,694,698,706,712,722,730,738,746,758,766,779,783,794,805,813,822,823,835,842,851,863,865,880,890,898,901,914,919,931,939,950,958,966,970,977,992,1000,1007,1015,1023,1034,1038,1046,1055,1063,1075,1086,1092,1096,1107,1117,1123,1134,1147,1154,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,30,38,45,55,65,71,81,91,101,107,118,127,130,140,146,158,167,177,315,325,335,343,351,357,361,373,378,391,401,410,413,427,434,441,597,602,609,620,632,642,651,652,666,675,678,694,696,710,715,726,734,743,749,761,766,777,780,789,799,809,816,824,831,842,848,857,869,879,890,893,903,908,920,927,934,942,956,964,974,977,988,997,1008,1016,1027,1029,1042,1053,1055,1069,1073,1084,1090,1103,1112,1121,1123,1133,1147,1151,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,31,34,45,53,60,72,78,89,102,104,111,121,130,137,153,159,169,172,315,320,329,342,350,353,368,373,382,392,400,408,417,422,437,445,600,606,615,623,627,637,644,655,663,677,682,688,702,711,719,721,736,738,753,758,769,774,781,792,798,812,820,827,834,847,851,860,872,879,883,899,907,910,920,932,937,948,955,966,971,980,990,999,1006,1012,1024,1033,1038,1049,1055,1067,1073,1083,1088,1102,1112,1113,1127,1131,1141,1153,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,26,34,44,59,66,69,84,89,101,102,111,122,131,139,145,153,166,177,313,319,332,343,344,357,368,374,383,391,397,406,417,424,434,438,597,604,613,619,632,638,649,653,663,671,683,691,703,711,719,720,733,741,751,759,767,777,785,793,804,808,821,823,835,845,849,862,866,882,888,899,902,911,920,926,938,946,955,965,973,981,992,995,1003,1018,1027,1029,1040,1048,1057,1067,1078,1080,1089,1104,1111,1117,1122,1130,1141,1154,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,30,35,45,53,61,72,77,87,96,105,111,121,130,145,153,161,167,175,315,324,333,341,350,360,362,376,385,391,400,411,416,424,437,438,599,604,617,619,627,639,645,657,665,669,683,693,696,708,713,724,730,745,749,759,766,778,788,793,802,808,819,823,833,840,855,862,873,875,886,898,906,912,917,928,938,950,956,963,969,981,985,994,1007,1015,1024,1034,1039,1045,1058,1068,1076,1083,1093,1101,1113,1116,1127,1132,1143,1150,1156,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,20,30,38,47,59,66,70,77,85,96,109,113,121,129,139,152,157,169,179,180,318,332,336,348,353,368,372,381,389,399,404,416,427,432,438,597,606,617,624,633,640,646,658,662,673,680,689,701,707,717,721,735,739,752,761,770,776,783,791,800,808,817,828,834,848,854,862,873,874,885,892,900,910,921,928,938,946,951,961,973,982,988,1000,1010,1017,1026,1033,1036,1050,1053,1069,1072,1086,1092,1097,1106,1121,1128,1136,1141,1150,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0
6,14,21,32,40,50,56,61,68,79,87,98,109,113,127,134,141,148,160,164,178,179,322,330,339,348,358,367,376,382,389,397,404,419,428,429,442,596,606,615,623,629,635,646,656,667,674,684,692,695,708,716,723,735,740,752,761,764,779,784,793,803,813,815,826,833,847,852,864,871,882,885,897,900,912,917,926,936,944,951,967,971,983,987,995,1010,1013,1027,1031,1044,1045,1061,1067,1073,1087,1095,1096,1106,1118,1125,1138,1141,1154,1157,1164,1173	0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,14,19,31,40,47,54,60,68,83,89,97,108,112,120,134,141,145,157,162,173,184,321,328,343,351,353,369,377,384,391,400,410,415,422,434,443,596,607,610,620,631,636,644,653,661,674,685,686,702,706,718,728,731,744,749,759,770,776,788,793,800,808,819,826,838,840,849,863,867,880,885,892,901,908,920,928,935,948,958,965,973,983,990,994,1006,1016,1019,1034,1043,1046,1055,1066,1076,1086,1091,1102,1109,1117,1128,1132,1142,1154,1160,1172,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
8,16,19,33,40,45,56,64,70,78,90,95,108,115,122,132,137,148,153,169,179,189,320,333,339,347,358,363,370,384,387,398,406,417,425,434,441,597,607,614,625,629,642,643,658,665,675,682,691,699,710,720,726,734,738,752,755,765,778,782,791,805,807,820,829,831,848,851,862,872,881,887,897,905,916,917,926,940,948,957,967,969,985,989,1002,1007,1017,1020,1028,1041,1049,1059,1063,1075,1082,1093,1102,1111,1117,1123,1137,1144,1151,1160,1172	1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,14,22,30,39,43,51,63,75,82,91,101,104,112,120,129,140,152,158,166,178,181,319,334,343,348,355,364,372,383,389,403,407,414,426,430,441,596,604,616,619,631,637,643,656,664,677,685,694,700,706,714,728,730,742,754,762,765,780,783,790,799,813,816,827,837,843,856,865,873,880,889,892,900,908,922,927,938,947,958,967,971,984,985,994,1007,1013,1024,1028,1038,1050,1056,1062,1076,1086,1089,1103,1106,1114,1128,1134,1141,1154,1162,1171	0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,22,28,36,49,57,60,70,83,89,102,106,118,126,132,143,152,160,169,175,181,324,328,341,349,357,361,373,386,391,395,404,416,426,434,445,470,603,612,625,631,638,645,654,663,671,682,693,701,708,716,726,734,738,748,759,763,775,783,788,800,813,820,826,836,845,856,863,867,878,888,892,900,911,923,925,935,947,956,967,969,981,987,996,1003,1017,1025,1028,1043,1049,1060,1069,1076,1083,1095,1098,1108,1116,1128,1131,1140,1154,1163,1166,1174	0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,23,27,39,50,55,62,72,78,85,101,106,115,122,136,142,153,157,166,174,181,318,333,339,351,355,367,372,384,394,398,408,420,421,429,440,596,602,610,621,634,639,650,657,669,677,681,686,697,711,714,727,736,739,751,760,765,777,786,789,800,805,820,830,837,840,851,860,868,876,884,898,900,915,923,933,939,947,954,962,973,977,989,1000,1009,1012,1026,1029,1037,1049,1062,1065,1071,1086,1092,1098,1107,1118,1128,1137,1141,1151,1163,1165	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0
1,13,23,30,42,46,57,65,68,78,93,101,109,115,127,128,142,152,160,167,175,316,322,328,335,348,359,363,372,381,389,400,405,419,423,436,440,597,604,611,625,628,640,643,659,666,671,677,692,699,703,717,723,736,740,752,762,771,779,781,794,802,811,818,827,833,844,849,859,870,877,884,894,900,912,918,930,940,945,952,961,973,984,991,998,1007,1014,1024,1033,1036,1046,1057,1067,1078,1085,1091,1099,1110,1118,1123,1135,1142,1151,1164,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,18,33,37,45,59,61,72,77,90,99,110,113,120,128,140,151,155,163,175,315,323,330,336,349,356,363,370,378,387,399,407,420,426,429,440,598,601,612,621,631,640,644,659,664,671,686,691,700,709,718,721,736,742,751,760,767,772,787,797,804,807,819,826,835,844,855,864,868,880,883,894,908,915,925,932,938,946,955,960,972,978,986,997,1006,1017,1026,1029,1037,1050,1054,1067,1073,1084,1091,1100,1110,1118,1123,1131,1142,1152,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,30,41,49,55,60,74,80,88,101,107,114,119,134,144,148,159,169,171,186,322,333,340,346,355,361,377,380,390,402,404,420,424,431,442,598,608,613,620,634,638,649,660,667,669,682,692,695,706,715,720,737,739,754,762,768,778,786,793,801,806,818,823,833,845,854,859,873,875,889,893,904,914,918,928,939,944,958,965,970,981,987,998,1007,1017,1024,1028,1044,1049,1059,1068,1072,1081,1091,1100,1111,1120,1128,1131,1146,1152,1162,1168,1175	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,9,24,33,42,43,51,67,75,80,87,95,109,115,127,132,140,145,155,162,171,191,322,334,339,351,360,369,377,380,394,397,411,413,428,430,441,599,601,615,623,634,637,652,660,668,676,679,690,701,710,714,727,737,738,750,757,766,776,783,793,800,813,822,828,836,843,851,864,871,877,889,899,907,912,921,930,939,945,953,961,969,980,992,994,1005,1016,1020,1032,1038,1045,1061,1063,1074,1083,1092,1101,1105,1120,1124,1132,1141,1154,1162,1170,1173	1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
7,11,23,29,35,47,53,64,71,80,86,99,109,115,127,130,143,146,160,168,178,183,319,329,338,344,353,367,370,378,393,399,409,418,428,435,445,599,609,616,623,632,640,647,654,667,669,682,694,700,711,716,721,735,738,751,762,770,773,780,794,804,806,816,831,837,841,850,861,867,882,885,899,903,916,919,931,938,945,959,966,971,981,986,999,1006,1013,1024,1030,1038,1053,1060,1068,1073,1086,1096,1098,1107,1121,1129,1138,1141,1155,1160,1168	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,21,31,40,45,57,66,69,78,90,94,104,119,122,135,144,149,160,167,173,182,326,328,342,345,356,367,376,380,389,399,404,419,426,433,443,453,604,611,625,632,639,644,659,661,669,685,693,695,704,712,721,732,738,747,755,763,772,781,792,798,808,820,828,837,844,850,863,870,876,885,896,907,912,919,933,935,949,952,963,973,978,987,997,1008,1011,1027,1032,1037,1045,1059,1065,1077,1086,1091,1100,1112,1116,1125,1136,1143,1155,1159,1167,1178	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,22,29,34,49,55,64,71,84,85,100,110,118,120,134,141,145,154,167,173,195,319,332,338,346,352,365,373,382,386,395,404,418,425,431,441,460,609,617,624,632,636,650,655,663,669,681,690,694,706,716,725,734,741,752,758,770,777,780,791,798,806,816,823,832,844,850,860,867,877,888,895,905,915,924,931,937,947,955,968,974,981,993,1001,1006,1017,1027,1031,1040,1046,1053,1063,1075,1086,1096,1100,1108,1121,1130,1137,1146,1148,1162,1167,1174	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,11,22,32,41,45,52,64,76,77,91,100,108,111,120,135,140,153,158,163,173,190,325,328,339,344,359,367,373,382,390,399,404,418,421,435,439,599,602,612,626,632,639,644,656,665,669,677,690,702,710,718,721,733,745,753,755,766,775,780,790,797,813,817,830,837,840,856,861,868,877,890,897,903,913,917,927,938,949,957,963,970,983,991,998,1005,1018,1027,1028,1037,1050,1061,1068,1073,1082,1088,1103,1106,1120,1127,1131,1144,1154,1161,1167	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,8,24,26,38,47,54,61,69,81,85,95,107,116,126,135,139,150,156,164,175,316,322,334,343,351,354,366,373,383,394,396,403,415,427,433,444,451,608,613,619,633,637,645,652,668,673,677,693,700,707,716,726,735,743,748,762,764,771,780,797,799,812,815,830,831,842,854,857,865,881,885,897,905,910,919,932,942,947,952,960,971,977,986,995,1002,1017,1020,1030,1041,1050,1059,1067,1073,1083,1091,1104,1110,1115,1126,1134,1145,1155,1160,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,21,25,37,48,55,63,68,80,86,96,103,114,127,129,141,151,155,167,176,316,324,330,341,352,355,364,374,381,393,399,406,416,423,435,439,598,607,611,624,632,639,648,660,663,675,681,688,701,708,712,720,733,745,754,758,770,775,786,789,803,809,816,828,835,841,849,861,872,877,884,898,906,914,922,930,937,949,953,962,973,979,991,996,1006,1019,1020,1032,1038,1049,1059,1068,1077,1084,1088,1098,1108,1116,1125,1137,1140,1151,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,20,33,36,45,59,67,72,84,88,98,102,116,123,129,137,149,160,167,172,316,324,329,343,345,355,368,374,383,392,395,410,412,422,429,445,598,601,612,625,627,642,651,658,666,672,678,688,702,708,720,721,736,739,747,757,767,780,784,791,805,806,816,826,839,846,853,859,872,882,883,892,903,914,922,926,935,943,955,968,970,984,992,1001,1003,1015,1023,1035,1042,1050,1053,1062,1078,1083,1090,1102,1107,1121,1128,1132,1142,1151,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,22,31,34,47,53,64,70,77,91,99,108,118,121,136,139,149,155,164,177,317,320,333,342,350,357,364,370,382,390,402,407,413,421,429,439,469,605,616,619,633,640,644,655,665,671,680,688,703,708,715,727,734,739,751,758,769,773,780,795,799,810,817,824,836,842,849,857,866,878,888,892,903,912,920,927,938,943,953,966,972,979,985,996,1010,1014,1026,1033,1037,1051,1059,1064,1072,1082,1087,1100,1109,1120,1123,1131,1140,1148,1160,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,24,28,35,50,53,67,76,78,90,97,106,111,119,133,142,145,155,165,174,314,319,332,337,346,360,368,370,379,390,395,405,419,427,432,443,597,603,610,619,634,635,651,654,668,675,684,689,703,710,717,723,733,745,747,762,769,773,783,793,803,810,820,823,832,842,850,861,867,880,888,896,900,912,917,933,938,947,954,963,970,978,989,1001,1006,1015,1019,1031,1044,1045,1057,1062,1071,1084,1089,1096,1109,1119,1130,1132,1147,1154,1162,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,28,35,48,56,62,69,79,92,102,109,117,121,129,138,150,158,168,172,313,325,332,338,345,352,365,374,385,388,395,409,416,422,429,442,596,602,616,618,627,640,647,658,667,673,680,686,696,709,717,725,737,738,747,760,766,776,786,792,801,813,816,827,835,840,856,860,871,874,882,891,908,909,922,927,934,945,956,963,975,984,987,999,1003,1011,1023,1034,1036,1051,1055,1067,1074,1082,1094,1099,1111,1115,1122,1130,1147,1150,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,23,28,37,46,57,62,74,81,87,100,105,111,120,133,136,151,159,170,172,313,321,331,336,344,358,364,376,381,392,396,409,413,428,437,440,459,609,611,624,634,638,649,657,662,670,678,691,697,704,715,722,735,744,746,760,770,779,787,793,805,814,815,825,835,845,851,863,866,880,890,898,904,909,920,933,935,942,956,960,971,981,988,1000,1007,1011,1027,1028,1037,1045,1061,1063,1070,1080,1094,1101,1111,1117,1127,1130,1143,1150,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,23,29,40,48,53,65,75,81,93,99,106,116,120,136,142,150,162,164,172,316,325,329,335,348,354,361,376,384,390,401,410,417,426,434,443,465,601,612,621,632,640,647,657,662,672,679,687,698,705,712,722,733,745,751,756,763,777,787,796,802,811,822,828,831,848,855,858,870,879,889,897,901,911,918,926,939,944,956,962,971,982,991,995,1004,1012,1022,1034,1040,1049,1061,1065,1073,1084,1089,1103,1108,1114,1124,1136,1145,1151,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,28,36,44,54,65,75,80,85,99,107,112,125,135,139,146,157,162,175,182,320,327,336,348,359,367,374,385,387,402,409,418,421,437,439,466,604,611,620,633,641,643,658,667,677,683,690,695,704,717,721,736,738,753,758,766,777,782,789,802,813,822,828,837,842,850,860,869,881,887,893,905,908,921,927,940,947,956,966,972,982,989,994,1002,1011,1022,1031,1039,1048,1054,1067,1078,1081,1090,1097,1112,1120,1129,1138,1140,1151,1160,1164,1177	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,21,28,34,47,52,67,74,77,92,99,109,114,125,134,137,153,161,162,172,316,319,328,338,346,356,362,373,379,393,403,411,412,429,431,442,462,608,616,623,633,642,646,657,667,677,683,693,695,705,718,720,732,740,746,757,768,775,786,790,805,811,820,831,838,841,853,860,871,880,883,895,900,915,917,931,938,944,951,964,969,985,991,998,1004,1014,1027,1033,1041,1052,1054,1065,1073,1086,1088,1103,1108,1121,1128,1136,1144,1148,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,20,29,38,50,58,64,73,83,93,100,110,115,126,136,140,148,161,164,173,318,323,333,336,345,356,361,373,381,393,402,404,415,427,436,443,596,605,611,626,629,639,650,652,665,672,680,694,695,710,716,727,731,743,747,757,766,774,780,793,802,813,815,829,834,841,855,858,873,880,882,893,903,909,917,928,940,946,955,960,969,977,985,997,1008,1016,1020,1034,1044,1052,1054,1064,1078,1082,1089,1104,1107,1120,1122,1135,1144,1149,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,25,30,35,47,53,60,70,84,87,94,102,119,127,131,140,152,153,170,176,317,320,333,338,346,353,364,374,379,391,398,412,418,428,434,445,599,603,614,619,627,638,644,658,667,673,681,687,702,707,719,725,736,739,752,755,765,774,786,791,803,806,819,823,836,843,856,859,874,876,884,892,904,916,920,928,941,950,958,961,971,979,991,993,1003,1012,1026,1033,1042,1046,1055,1062,1072,1080,1096,1099,1110,1113,1127,1136,1141,1150,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,28,38,45,52,68,69,78,90,98,108,116,121,129,143,146,159,164,172,313,324,327,340,351,360,361,375,382,392,396,411,417,420,437,440,460,608,610,620,631,637,651,655,660,673,677,689,696,710,720,722,731,741,749,760,767,777,785,790,803,812,818,824,838,848,855,862,867,875,890,891,902,909,917,925,937,944,954,960,972,984,988,996,1004,1015,1020,1030,1043,1053,1060,1062,1073,1082,1093,1104,1106,1120,1124,1131,1147,1155,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,27,41,46,55,64,76,77,86,102,108,117,123,129,140,146,154,168,172,188,318,331,338,351,357,361,376,380,390,395,410,417,427,429,442,462,605,613,622,627,641,648,654,663,673,681,693,701,708,712,723,733,741,748,762,766,776,785,796,802,809,817,828,832,846,855,865,866,876,885,899,906,912,918,929,939,943,955,963,970,984,990,997,1003,1016,1021,1030,1039,1048,1061,1063,1074,1080,1092,1103,1105,1116,1123,1133,1145,1148,1158,1164,1177	0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,24,25,39,47,57,59,74,80,87,99,103,112,121,131,139,152,154,167,176,316,322,333,343,345,360,364,374,380,388,401,407,420,427,434,441,465,601,616,623,631,636,645,656,666,669,681,691,702,705,716,723,729,738,750,756,767,771,788,794,804,810,817,829,836,845,855,863,872,880,887,898,904,912,921,930,938,944,952,964,973,977,991,995,1003,1015,1026,1033,1039,1046,1057,1069,1076,1085,1092,1101,1105,1114,1124,1137,1144,1151,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,18,29,34,45,56,65,68,77,86,94,110,113,127,135,143,150,158,168,176,313,318,333,335,350,356,363,374,384,387,399,408,413,426,429,442,598,605,616,625,635,642,651,652,667,672,677,688,700,708,712,720,735,743,748,760,767,773,786,796,800,813,821,827,835,843,849,862,866,879,885,891,907,914,920,928,937,950,959,963,970,981,993,994,1006,1018,1023,1031,1043,1046,1056,1069,1074,1084,1088,1098,1105,1116,1125,1132,1142,1148,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,29,41,50,57,63,75,84,88,94,106,111,127,128,141,151,160,165,177,317,324,329,343,348,352,364,376,385,387,395,411,414,425,431,443,471,602,617,620,630,641,651,655,668,677,678,693,695,709,712,727,731,737,748,757,770,777,783,790,804,806,822,825,834,840,850,859,870,877,884,893,901,911,917,928,939,946,954,962,968,983,991,997,1003,1017,1022,1033,1043,1051,1059,1070,1076,1079,1092,1103,1112,1117,1126,1137,1144,1154,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,27,40,43,59,64,73,78,89,97,103,116,123,134,139,147,160,164,178,313,322,328,341,348,359,362,370,378,393,395,410,413,422,437,440,600,604,609,619,632,638,650,660,662,669,683,692,699,705,715,724,734,743,748,757,770,774,783,792,803,813,821,825,838,844,848,857,870,874,890,896,903,908,923,929,938,949,952,960,972,981,986,995,1008,1012,1025,1034,1044,1051,1056,1064,1078,1084,1095,1103,1108,1114,1127,1134,1146,1150,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,34,39,50,55,60,76,84,92,100,104,116,127,132,141,147,155,168,172,316,319,334,341,349,354,368,377,380,391,396,407,413,427,432,445,466,605,617,618,631,638,644,654,668,673,682,692,700,710,714,721,732,739,750,756,767,773,780,796,804,810,819,824,835,844,849,859,868,878,885,895,900,911,924,932,940,950,955,961,968,979,986,993,1006,1015,1021,1036,1043,1050,1059,1068,1072,1083,1091,1102,1106,1114,1126,1136,1141,1149,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,27,40,50,52,62,76,80,86,96,102,115,120,131,145,147,156,163,175,313,318,333,339,352,354,368,377,386,387,400,403,414,421,434,445,597,601,617,625,633,643,644,652,666,670,681,691,696,707,719,727,737,740,749,760,764,777,780,792,805,814,815,823,833,847,853,857,872,882,886,892,901,911,919,926,942,950,952,964,969,978,990,996,1007,1011,1025,1033,1042,1052,1060,1064,1075,1086,1088,1098,1110,1113,1128,1131,1143,1148,1162,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,30,38,42,51,66,69,83,89,102,105,113,124,132,139,146,156,165,174,317,326,328,336,348,353,367,371,378,390,397,408,415,421,433,437,600,601,616,622,630,639,645,658,663,676,678,693,701,704,717,725,729,738,751,754,767,772,785,794,802,813,821,825,834,844,848,859,866,875,890,897,903,911,924,928,938,947,956,964,969,978,990,997,1010,1015,1022,1031,1038,1051,1054,1066,1073,1086,1092,1104,1107,1121,1126,1130,1144,1152,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,20,27,41,48,56,61,73,84,86,96,106,117,127,131,139,150,156,167,171,315,319,334,335,349,356,369,374,384,390,398,408,416,421,436,443,596,608,612,623,631,641,651,656,663,673,680,692,695,706,716,724,736,742,752,758,767,774,785,794,799,811,820,831,839,843,854,860,869,875,890,894,901,909,918,930,941,942,957,962,974,980,990,1000,1010,1015,1024,1030,1038,1046,1057,1066,1078,1084,1094,1099,1108,1121,1125,1136,1140,1149,1162,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,33,35,48,55,65,72,80,93,94,108,113,120,129,142,153,156,167,178,317,325,332,337,348,359,367,377,385,388,398,408,414,425,431,438,460,606,614,621,628,639,646,652,661,674,677,690,697,711,717,727,736,738,753,755,764,773,786,793,804,810,814,829,837,843,855,857,869,877,884,896,907,913,923,928,938,946,956,964,974,981,991,997,1008,1018,1020,1030,1044,1051,1056,1066,1076,1083,1090,1103,1110,1116,1124,1133,1140,1150,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,19,33,37,50,59,63,71,83,91,101,103,111,124,136,140,150,160,168,173,317,322,328,335,347,358,366,372,382,389,401,411,413,425,436,437,449,601,617,625,631,636,648,655,665,670,679,691,697,707,720,726,729,745,751,754,769,772,783,788,804,814,818,829,836,846,856,863,866,876,883,899,902,909,919,928,934,944,956,968,970,984,986,997,1002,1017,1020,1032,1044,1048,1054,1065,1074,1083,1093,1099,1107,1118,1129,1132,1142,1155,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,26,41,43,52,67,73,77,85,98,105,114,124,129,139,146,154,168,179,316,320,330,336,351,353,366,374,383,393,401,411,418,424,435,439,456,601,616,623,627,636,646,656,666,673,684,692,702,709,713,723,732,742,754,759,770,773,782,794,797,814,818,826,833,846,854,860,865,878,883,899,900,909,921,933,939,947,951,965,975,977,992,997,1004,1018,1021,1032,1038,1048,1054,1063,1076,1086,1093,1101,1106,1115,1128,1134,1140,1155,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,33,42,43,55,63,74,77,88,94,107,118,127,129,138,146,156,168,173,314,318,329,338,347,353,361,375,385,387,398,404,416,422,433,438,600,605,613,618,634,639,648,653,668,671,685,692,696,708,716,722,730,741,746,760,768,780,787,793,800,812,816,823,838,841,853,865,872,879,885,899,906,911,918,929,936,944,954,967,971,979,986,1001,1003,1015,1023,1029,1043,1049,1058,1066,1078,1086,1095,1098,1110,1115,1127,1131,1146,1155,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,30,36,50,55,63,72,81,91,95,102,117,123,132,141,148,159,169,178,190,320,330,339,347,352,364,371,384,391,400,411,417,425,430,441,453,605,611,626,634,636,649,655,665,677,685,687,700,703,715,723,737,739,748,756,766,776,781,790,800,812,817,826,834,840,856,859,871,877,889,891,904,914,917,933,937,943,951,965,971,979,991,999,1002,1015,1021,1031,1037,1048,1054,1065,1073,1085,1091,1104,1109,1119,1127,1131,1142,1149,1162,1166,1177	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,18,28,37,46,53,65,76,82,86,96,103,112,124,134,140,148,155,164,173,183,320,329,339,348,360,364,373,379,393,401,406,414,426,433,440,463,603,610,618,629,639,648,658,667,677,685,687,698,706,718,724,736,741,750,762,765,776,784,796,804,808,822,829,832,842,852,865,871,875,890,896,905,915,921,927,939,950,953,967,970,981,989,994,1009,1016,1021,1030,1036,1045,1060,1065,1072,1082,1087,1100,1110,1121,1122,1136,1140,1153,1161,1165,1176	1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,12,22,27,35,46,52,61,71,79,92,94,110,115,127,129,139,146,158,169,170,185,322,333,342,349,353,367,377,384,389,398,406,418,423,432,441,599,609,613,626,627,635,652,656,665,669,684,686,695,704,717,721,731,738,753,759,768,776,781,792,799,808,819,829,835,843,851,857,872,881,884,895,902,908,920,930,936,949,954,961,968,977,990,996,1007,1019,1027,1034,1041,1045,1055,1063,1072,1086,1095,1102,1106,1115,1127,1134,1142,1153,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,13,24,30,41,49,52,66,74,83,86,95,102,111,123,129,145,152,154,167,173,188,319,329,342,352,354,362,372,386,390,403,409,412,422,432,442,597,601,617,620,628,637,647,657,668,671,677,689,702,711,714,722,734,742,748,758,765,773,783,793,803,809,819,828,836,840,854,863,867,882,885,898,904,910,920,933,941,942,951,964,976,977,991,1000,1010,1012,1021,1034,1044,1046,1055,1068,1078,1087,1095,1102,1106,1117,1130,1131,1145,1151,1159,1169	1,1,1,1,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,20,29,41,46,52,60,69,79,91,97,109,114,120,132,140,145,160,166,178,186,321,330,335,351,358,365,369,381,391,402,406,413,427,433,441,448,606,616,619,627,640,645,659,665,673,685,692,702,704,717,723,732,743,750,761,769,776,786,792,804,813,815,823,834,847,855,862,871,879,888,892,907,910,917,925,942,944,959,967,968,984,991,1001,1009,1017,1023,1031,1037,1049,1061,1066,1074,1080,1095,1096,1107,1121,1127,1138,1145,1149,1161,1169,1176	0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,20,31,41,49,53,64,76,77,91,100,105,114,126,131,140,153,159,168,175,181,320,327,338,348,352,369,372,385,388,399,406,413,427,432,444,600,607,616,623,634,641,647,654,667,671,679,692,696,710,712,723,734,743,747,761,768,775,783,796,798,813,819,831,833,843,850,864,869,882,889,896,901,912,920,927,936,950,952,965,970,984,991,996,1008,1014,1023,1033,1040,1049,1060,1068,1078,1079,1094,1104,1111,1116,1122,1134,1139,1153,1156,1166,1176	1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,12,19,27,39,48,52,64,68,81,86,99,110,114,125,128,138,149,154,165,175,315,321,332,341,347,356,362,377,381,390,399,408,415,425,429,439,469,607,614,626,631,637,646,653,667,674,684,693,697,711,719,722,736,745,753,760,767,776,788,791,800,813,814,823,839,841,854,863,866,876,886,896,902,908,917,930,936,950,952,962,976,978,987,994,1002,1012,1020,1035,1039,1046,1055,1063,1071,1087,1089,1100,1107,1117,1127,1134,1141,1151,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,13,24,32,39,45,51,63,75,78,91,94,109,116,121,129,138,146,158,170,171,184,323,328,339,346,355,366,374,378,393,395,411,418,425,432,439,469,607,617,625,632,641,643,658,665,670,681,693,700,708,719,723,737,741,749,763,764,772,781,796,802,812,821,830,832,841,850,858,870,876,891,892,904,914,924,930,937,942,952,966,972,980,988,1000,1006,1011,1021,1029,1043,1048,1058,1068,1074,1084,1088,1099,1105,1118,1123,1130,1140,1155,1159,1166,1174	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,21,31,34,48,52,64,74,76,92,101,107,116,121,132,141,145,161,168,175,317,322,328,340,349,352,362,372,381,394,402,404,420,426,431,440,600,601,616,620,633,638,648,660,665,676,678,691,695,703,717,728,736,738,746,760,769,773,788,791,800,814,817,827,839,842,850,863,868,881,887,898,907,911,918,927,942,943,958,963,970,980,989,994,1010,1016,1026,1031,1041,1048,1060,1067,1077,1082,1093,1099,1105,1116,1123,1133,1143,1149,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,25,39,44,58,63,69,82,93,100,106,115,123,135,144,149,155,170,175,213,320,335,339,347,359,363,371,380,394,402,407,419,426,436,442,460,607,611,620,630,643,650,656,661,671,682,692,699,711,713,724,732,744,749,758,767,771,788,794,805,813,820,827,837,842,855,864,872,878,887,895,900,913,922,926,934,949,952,965,973,982,989,998,1010,1012,1019,1032,1036,1045,1061,1066,1073,1086,1095,1102,1112,1116,1124,1133,1139,1149,1163,1170,1178	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,15,25,30,34,48,51,62,75,78,88,96,106,111,125,136,144,145,158,162,172,202,322,331,336,347,357,367,371,384,392,401,409,415,423,432,445,600,604,615,621,632,638,648,658,666,676,680,694,698,707,715,721,734,739,752,756,770,772,784,797,798,806,821,827,833,841,856,863,870,880,886,898,902,909,917,926,938,943,951,961,973,979,987,996,1003,1017,1024,1036,1043,1048,1057,1063,1076,1084,1094,1101,1110,1117,1125,1132,1141,1155,1156,1165,1177	0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,20,27,37,48,57,64,72,78,90,98,106,117,122,132,138,152,154,164,171,190,319,328,339,351,355,367,371,385,389,401,406,414,427,431,446,448,609,610,625,633,641,648,658,669,677,682,688,699,705,717,727,730,738,751,756,765,779,783,796,805,812,814,826,833,842,855,858,871,879,889,892,905,915,919,927,940,942,958,965,972,983,986,994,1002,1017,1025,1032,1042,1047,1056,1067,1074,1085,1091,1096,1107,1117,1129,1131,1142,1152,1157,1168	1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,19,28,38,43,55,65,74,79,88,99,106,118,121,129,137,151,157,168,176,180,321,331,343,344,353,366,373,379,394,398,410,412,423,436,441,598,608,615,618,631,641,649,654,665,677,680,687,700,708,717,728,731,739,750,756,767,774,787,791,805,806,816,829,839,847,850,860,867,876,886,896,908,916,923,928,938,947,953,964,970,984,993,1000,1009,1015,1022,1029,1039,1048,1055,1068,1073,1084,1088,1098,1111,1114,1125,1136,1143,1153,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0
8,16,20,30,39,48,54,60,74,78,90,95,108,113,125,136,140,149,156,169,171,315,321,328,342,346,359,368,370,379,391,396,409,419,428,432,442,596,608,610,625,630,640,650,652,665,675,682,693,696,703,712,721,729,739,746,757,768,775,787,796,798,807,822,824,834,847,853,858,866,877,885,891,904,912,924,926,935,949,954,963,973,981,990,994,1008,1010,1025,1034,1037,1046,1058,1068,1072,1080,1089,1101,1110,1118,1121,1137,1142,1148,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
4,15,18,27,41,46,53,62,75,82,89,94,103,113,125,135,140,145,160,165,173,188,318,328,342,347,352,366,376,378,393,399,409,413,424,430,444,448,604,611,623,631,636,651,657,665,677,686,688,698,704,713,723,735,742,746,757,764,773,786,793,805,809,819,825,838,844,854,857,869,876,883,897,899,911,919,928,938,948,959,963,974,981,992,995,1005,1014,1022,1035,1039,1052,1054,1070,1072,1084,1091,1100,1109,1118,1127,1136,1143,1149,1162,1170,1175	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,11,21,27,41,46,56,63,75,78,87,100,105,118,127,132,139,145,160,169,174,314,322,331,335,348,356,364,369,386,387,397,404,420,425,434,442,596,608,611,623,634,639,644,657,661,673,682,694,697,704,713,726,733,744,749,758,769,778,785,788,801,807,818,824,837,841,856,863,868,876,884,892,901,912,925,933,942,946,959,961,972,977,985,1001,1004,1015,1024,1034,1039,1046,1059,1068,1078,1079,1094,1100,1105,1113,1121,1130,1139,1154,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,32,38,49,57,67,69,82,93,100,104,116,125,128,143,151,154,168,178,317,325,332,336,348,356,365,376,379,393,402,408,413,426,434,442,459,605,612,622,629,635,651,659,667,677,684,689,697,708,719,721,729,745,747,756,766,774,783,792,801,812,821,825,831,847,854,863,872,880,887,894,905,916,923,927,936,948,953,963,970,979,991,994,1007,1019,1024,1034,1038,1051,1056,1065,1077,1083,1091,1103,1111,1119,1125,1134,1140,1154,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,23,26,36,44,58,63,75,78,93,98,110,116,125,132,138,147,155,167,176,314,320,334,342,350,357,369,373,378,392,396,411,415,423,437,440,459,604,610,622,633,637,647,652,663,670,678,694,701,703,712,722,733,743,753,756,765,772,782,796,798,805,814,825,839,845,850,861,872,877,888,897,901,916,921,926,938,943,958,962,972,983,991,995,1003,1013,1024,1035,1042,1053,1060,1069,1070,1084,1094,1098,1108,1116,1124,1136,1139,1155,1157,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,34,35,47,58,63,73,84,89,99,104,119,120,132,145,148,160,167,177,315,319,333,343,346,356,367,375,385,393,396,404,416,426,431,443,459,603,617,621,630,635,644,659,665,672,680,690,696,705,711,725,732,743,748,762,766,774,780,796,803,812,821,830,833,842,849,860,867,882,884,895,900,908,923,932,939,949,956,962,968,977,991,1000,1007,1014,1021,1028,1039,1046,1058,1069,1075,1085,1094,1104,1108,1115,1122,1131,1145,1150,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,32,38,45,57,65,71,81,93,97,102,111,124,130,144,148,160,165,176,316,325,331,341,348,360,361,372,381,387,402,407,418,426,431,444,596,608,610,622,629,643,646,657,661,675,682,687,702,710,719,720,732,744,751,763,769,778,781,794,801,809,821,825,833,840,853,858,870,881,886,894,904,915,921,932,938,950,956,966,968,979,990,997,1008,1011,1022,1030,1039,1052,1054,1065,1070,1082,1088,1098,1105,1121,1128,1138,1142,1151,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,32,35,45,53,61,73,83,87,97,107,115,124,131,140,147,155,166,174,314,320,335,340,351,353,361,372,379,391,395,410,412,422,437,445,596,605,611,621,633,635,648,658,665,675,679,691,695,707,720,727,729,740,747,758,764,776,784,790,803,814,820,830,834,840,856,865,868,879,884,892,906,911,922,932,941,949,952,964,969,977,990,1000,1010,1015,1019,1030,1042,1050,1055,1069,1075,1087,1094,1104,1110,1113,1124,1134,1140,1153,1161,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,34,40,48,54,63,71,84,90,102,106,112,120,134,137,149,154,170,176,313,324,330,342,344,353,361,372,378,393,396,403,414,422,435,438,448,602,614,619,626,641,647,657,662,670,681,691,701,707,712,722,732,743,752,755,765,779,785,796,805,810,816,825,837,844,854,857,872,878,885,896,908,909,923,928,937,947,955,965,971,984,990,998,1003,1014,1021,1032,1041,1049,1057,1068,1071,1083,1091,1103,1108,1120,1123,1131,1141,1152,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,27,40,51,58,66,71,76,89,99,106,119,122,135,142,147,159,168,173,316,322,330,335,349,355,362,371,380,392,396,409,418,426,436,441,454,600,614,622,634,639,644,653,662,675,679,690,695,705,713,724,733,744,751,755,765,775,785,791,797,813,819,825,833,843,855,861,866,881,888,896,906,912,919,931,941,945,951,964,972,977,985,995,1008,1015,1019,1029,1039,1050,1059,1065,1072,1087,1091,1096,1105,1118,1126,1132,1140,1153,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,22,27,42,50,59,63,72,81,85,101,107,116,127,128,141,151,156,163,176,179,321,329,339,351,360,361,370,385,392,400,404,419,424,429,442,447,604,613,621,634,638,646,654,667,675,683,693,703,706,713,724,736,745,752,760,764,778,781,788,803,806,820,829,835,848,849,860,870,880,882,896,907,911,923,931,935,948,955,962,975,983,993,998,1004,1011,1023,1030,1040,1046,1058,1063,1071,1083,1090,1101,1106,1117,1129,1132,1144,1147,1160,1171,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,19,27,39,43,51,60,69,79,89,98,104,118,127,135,143,146,155,162,172,315,320,333,336,349,359,361,371,380,392,399,408,418,422,430,438,599,602,616,619,632,635,647,657,665,674,678,694,696,706,717,727,734,745,754,759,771,773,782,796,803,806,822,831,836,842,852,862,867,878,886,897,906,916,922,926,937,946,951,963,970,981,990,996,1005,1018,1026,1033,1038,1047,1056,1069,1077,1080,1088,1104,1111,1121,1125,1132,1144,1148,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,29,42,46,55,61,72,81,93,100,105,113,124,132,136,150,157,169,177,315,324,327,336,348,358,369,372,381,394,401,404,417,423,433,443,597,601,616,626,633,635,652,660,669,677,679,693,694,706,717,728,729,739,753,760,766,777,787,793,803,811,814,830,833,847,851,863,873,881,887,891,903,914,925,928,938,944,955,966,975,981,991,998,1007,1015,1020,1036,1038,1047,1058,1070,1074,1084,1094,1100,1107,1116,1128,1137,1140,1155,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,31,37,48,54,62,75,83,88,101,103,113,126,132,138,149,155,169,175,314,321,332,341,351,357,368,374,378,393,396,409,417,422,433,443,596,609,612,623,633,641,645,657,661,670,685,689,699,710,717,727,730,740,750,758,766,779,783,796,803,813,817,828,837,842,848,865,871,881,887,897,901,912,922,925,934,944,956,963,972,976,987,996,1005,1017,1024,1036,1043,1050,1059,1063,1071,1083,1088,1104,1110,1113,1126,1133,1139,1150,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,32,40,45,59,67,72,84,86,99,104,119,120,129,137,151,156,165,173,315,318,334,335,347,353,369,375,378,393,400,410,414,428,431,443,597,605,615,622,634,643,647,657,664,674,678,691,699,708,714,725,729,740,747,757,763,773,782,789,804,806,822,828,837,845,854,862,873,879,889,896,906,908,918,929,939,950,954,961,972,984,989,1001,1007,1014,1025,1030,1040,1051,1057,1064,1071,1087,1091,1098,1105,1121,1124,1134,1142,1155,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,30,41,47,56,63,72,80,90,99,106,112,123,135,137,150,154,163,174,188,323,332,337,348,355,367,375,384,386,402,407,419,424,432,442,447,606,610,621,634,642,651,655,666,674,682,687,701,704,718,724,736,743,752,759,763,774,786,794,803,806,819,829,831,842,853,863,872,874,885,895,901,915,919,933,936,950,957,967,975,980,988,998,1009,1012,1020,1029,1039,1045,1060,1065,1074,1085,1091,1100,1105,1121,1122,1135,1146,1151,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,23,29,37,50,57,67,71,81,90,101,107,116,127,135,142,146,156,166,173,315,322,331,336,345,358,365,373,382,392,402,403,420,424,430,445,600,603,617,619,630,636,644,660,664,672,679,693,701,711,718,721,732,743,750,761,763,776,783,789,804,813,814,822,838,847,855,859,872,876,883,899,900,911,917,927,937,947,951,967,969,984,993,995,1005,1012,1024,1028,1039,1048,1056,1070,1075,1081,1095,1099,1112,1121,1122,1135,1142,1150,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,26,40,46,53,61,76,81,92,98,107,117,121,130,137,149,161,170,173,314,319,327,343,349,357,366,373,380,389,402,405,415,425,437,440,598,602,615,622,630,637,645,659,665,677,682,691,699,704,719,726,736,738,747,756,767,778,780,792,805,806,815,824,837,840,848,860,865,875,886,893,907,909,919,926,939,948,951,961,971,980,988,993,1008,1013,1019,1033,1041,1053,1055,1068,1073,1083,1090,1100,1111,1116,1126,1133,1140,1153,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,28,40,49,58,60,75,80,93,96,102,117,124,133,141,146,161,166,172,313,321,332,337,345,353,364,371,381,392,401,407,419,422,430,439,596,601,616,620,632,641,644,660,667,675,685,691,699,706,718,727,732,745,748,761,771,772,780,797,799,809,817,830,834,844,853,863,869,880,891,897,904,912,921,928,940,950,953,965,972,978,987,996,1007,1014,1024,1034,1041,1050,1060,1069,1072,1085,1090,1100,1112,1121,1123,1130,1145,1155,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,29,41,48,58,61,69,80,88,101,105,115,119,136,142,150,156,168,171,317,322,327,340,347,358,364,370,386,387,397,406,416,424,434,442,459,603,613,626,630,635,649,659,668,671,680,694,696,708,718,728,733,742,749,755,770,776,780,789,804,811,818,829,836,846,848,859,870,874,891,893,904,913,922,926,936,946,957,966,973,984,991,997,1008,1018,1026,1032,1042,1048,1061,1065,1077,1087,1091,1103,1105,1121,1126,1135,1139,1153,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,26,39,47,56,62,73,83,85,96,105,114,120,132,137,148,157,162,177,316,318,329,336,352,358,369,377,380,386,401,407,419,421,436,442,597,603,616,625,628,637,648,658,662,672,679,691,701,709,714,728,737,745,750,762,768,773,783,795,803,812,815,823,836,846,854,862,870,877,889,894,906,916,917,926,939,947,956,967,970,981,992,994,1006,1011,1020,1032,1043,1050,1060,1066,1073,1080,1091,1100,1106,1120,1123,1135,1141,1154,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,26,39,43,55,60,76,80,88,97,104,115,124,135,138,147,157,162,177,316,326,329,340,345,356,366,370,382,390,398,411,413,423,437,443,453,602,613,618,634,639,648,658,668,677,680,689,701,707,716,721,735,745,749,760,770,773,781,795,798,807,822,830,835,843,851,857,866,880,889,899,901,910,925,928,942,945,955,964,969,981,992,999,1007,1014,1023,1035,1038,1051,1055,1063,1074,1084,1090,1097,1113,1118,1129,1134,1145,1154,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,17,29,36,46,53,62,69,78,86,98,107,116,119,130,137,153,160,163,178,317,322,328,336,344,355,364,371,385,389,400,408,419,428,433,444,597,601,617,623,631,635,650,653,661,674,680,690,698,711,719,725,735,741,753,757,765,773,785,792,799,810,821,825,838,842,848,858,865,882,885,897,907,913,920,925,935,947,952,962,973,980,986,1001,1007,1015,1019,1034,1044,1048,1059,1063,1074,1087,1092,1101,1112,1116,1122,1137,1141,1148,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,21,33,37,50,55,65,73,77,88,99,108,116,122,132,137,150,158,166,173,315,319,335,338,348,355,368,373,383,386,402,405,417,422,435,438,596,608,613,620,631,638,643,660,668,672,686,688,700,710,717,720,730,742,749,761,768,777,781,796,800,811,816,824,836,847,851,865,869,874,890,894,902,916,921,933,934,945,952,960,971,979,991,996,1004,1019,1025,1033,1044,1047,1059,1065,1077,1084,1088,1100,1113,1120,1127,1132,1141,1148,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,23,29,37,51,56,67,73,81,87,102,110,112,123,131,144,148,157,170,171,315,318,327,342,345,358,363,369,379,390,398,408,413,421,436,441,599,604,609,624,633,636,650,655,661,675,678,692,701,710,712,727,730,745,746,761,771,778,782,794,797,812,814,831,832,842,848,862,866,876,888,894,904,911,922,925,938,942,959,961,970,978,988,995,1005,1018,1026,1032,1039,1046,1055,1063,1079,1084,1091,1097,1109,1115,1123,1137,1145,1149,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,23,29,42,48,57,60,73,77,91,101,104,118,121,129,137,152,161,167,173,317,321,332,335,346,359,366,372,383,388,399,408,418,425,434,440,597,603,611,620,633,637,646,656,661,673,682,691,695,707,719,728,729,743,749,757,769,778,786,796,800,809,817,824,834,847,850,864,867,879,888,896,906,915,925,929,934,949,956,964,974,977,989,997,1008,1014,1025,1029,1040,1051,1057,1066,1077,1082,1087,1097,1105,1116,1129,1134,1142,1151,1164,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,20,26,41,48,53,63,74,82,89,94,107,118,120,129,140,146,158,169,170,316,322,330,336,345,358,365,376,384,389,398,405,412,422,429,444,598,603,617,621,629,641,648,658,664,677,680,693,698,708,718,722,736,737,752,761,763,779,783,791,801,814,819,828,838,841,850,863,866,878,886,896,903,915,922,932,938,950,951,961,972,980,990,997,1005,1013,1025,1036,1042,1049,1057,1070,1072,1084,1094,1097,1111,1121,1126,1138,1141,1149,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,24,33,41,45,54,60,73,79,86,95,106,111,124,131,138,146,162,169,177,316,326,328,337,351,358,369,375,383,389,396,411,414,423,436,445,453,608,611,622,634,642,647,658,664,674,682,692,698,709,717,721,737,743,752,756,768,773,783,796,804,813,816,827,839,846,856,864,871,876,883,895,903,909,921,930,941,950,952,964,970,981,990,1000,1006,1015,1023,1028,1042,1052,1057,1066,1078,1087,1095,1102,1108,1116,1123,1138,1145,1155,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,30,37,49,51,62,75,78,85,94,106,117,125,135,144,151,159,163,174,191,322,328,335,347,360,365,377,383,388,399,407,419,427,433,438,600,606,609,623,627,638,648,654,664,671,678,687,695,711,712,728,735,740,746,762,764,774,782,792,797,806,814,827,835,848,854,857,867,880,890,897,908,912,923,931,934,945,958,964,973,977,991,997,1005,1015,1024,1033,1038,1045,1056,1063,1071,1087,1089,1100,1106,1120,1130,1135,1141,1149,1160,1166,1174	0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,22,28,39,42,53,66,69,78,89,96,107,111,127,128,142,151,157,165,174,182,319,332,335,344,357,368,377,382,393,402,405,414,427,433,441,468,601,612,620,630,636,647,657,665,671,678,693,697,710,718,725,737,741,750,758,765,774,780,796,799,811,821,826,839,848,852,865,871,881,888,895,904,916,917,931,935,947,956,966,972,977,991,994,1009,1017,1023,1029,1039,1047,1061,1066,1078,1084,1090,1100,1108,1114,1122,1132,1146,1153,1163,1167	0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
4,16,21,25,41,46,53,68,70,84,89,98,110,111,126,134,142,148,159,163,174,185,318,333,343,352,358,368,373,384,393,395,404,417,426,436,439,598,601,615,624,633,641,647,657,662,673,677,694,702,703,718,725,730,744,753,761,766,773,786,796,804,806,817,823,838,844,853,859,866,880,885,895,900,909,924,927,934,949,956,960,972,981,988,994,1004,1014,1022,1035,1041,1051,1055,1070,1073,1084,1088,1103,1108,1117,1124,1131,1139,1155,1158,1169,1176	0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,11,20,30,41,49,53,67,72,80,87,94,106,116,127,129,138,145,158,167,176,183,323,331,342,348,355,363,376,382,391,397,410,418,423,437,441,448,606,617,625,630,638,647,653,662,670,678,690,698,704,716,725,734,738,748,762,769,772,786,796,798,809,819,824,833,845,848,858,873,878,883,898,908,913,922,932,941,944,955,960,969,977,990,1000,1002,1013,1026,1033,1044,1051,1058,1066,1071,1080,1094,1096,1108,1113,1127,1138,1140,1153,1162,1169,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0
6,14,20,26,35,46,57,66,70,84,88,98,109,118,121,133,145,150,157,164,173,187,326,332,337,343,356,367,377,379,387,396,410,413,426,431,441,598,605,615,619,628,641,643,656,668,672,685,686,700,705,712,727,735,738,749,756,766,779,780,796,799,806,814,830,837,844,856,861,865,880,885,891,902,908,917,932,940,951,957,965,969,983,985,997,1003,1019,1026,1030,1043,1047,1061,1063,1072,1085,1089,1097,1112,1121,1122,1134,1139,1149,1158,1169,1178	1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,12,24,27,36,51,55,67,72,83,93,99,104,117,125,136,143,148,157,166,171,201,325,333,341,349,354,363,376,378,388,402,404,417,422,430,446,598,603,610,625,627,636,645,652,661,671,685,686,701,706,713,723,731,738,747,759,770,774,784,796,801,809,820,825,832,840,856,863,867,879,886,891,908,909,924,928,936,947,954,967,971,979,990,1000,1003,1015,1022,1028,1036,1045,1061,1064,1073,1084,1095,1097,1111,1117,1127,1135,1140,1151,1158,1166,1175	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,16,19,27,40,42,56,67,75,83,90,100,107,115,125,130,143,150,156,167,172,179,323,332,342,351,355,368,370,383,389,397,412,417,423,433,440,447,602,614,622,632,641,645,653,669,676,678,687,694,710,716,728,729,745,747,757,764,773,788,793,804,810,819,823,834,846,851,864,870,880,883,891,904,911,918,928,940,948,958,960,972,980,985,998,1004,1012,1019,1032,1037,1048,1054,1065,1071,1083,1090,1104,1107,1115,1124,1136,1146,1149,1163,1172,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,16,22,32,41,44,52,62,72,79,91,102,105,112,128,134,141,152,157,170,177,181,325,331,339,348,353,368,374,379,390,400,408,416,426,435,441,466,602,616,622,632,642,644,660,661,670,685,688,699,711,719,724,729,741,746,760,767,774,780,796,799,811,816,829,838,843,856,864,872,877,886,899,902,912,920,926,941,948,951,963,969,979,991,1000,1008,1013,1024,1028,1038,1051,1058,1068,1073,1084,1089,1096,1110,1113,1123,1132,1139,1154,1161,1171,1173	1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,19,29,34,49,52,63,69,85,87,97,108,117,124,135,144,146,156,165,177,316,325,333,338,344,355,365,371,385,390,397,407,413,428,429,445,597,601,614,622,630,640,645,653,661,672,680,691,697,707,720,723,735,743,751,760,769,778,787,796,802,807,821,828,837,840,853,860,870,878,884,899,907,916,924,925,934,942,953,963,971,981,989,997,1008,1016,1020,1029,1040,1046,1060,1068,1073,1079,1095,1103,1110,1116,1122,1136,1147,1149,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,31,37,43,55,60,70,84,88,97,110,113,122,136,143,152,159,168,179,184,325,329,337,347,355,365,373,384,387,403,407,414,427,432,438,600,604,616,622,632,638,644,656,665,674,683,690,699,709,719,721,733,744,746,759,764,777,784,792,803,810,822,826,831,848,852,858,871,876,891,899,902,914,923,931,938,944,957,959,973,980,985,1001,1009,1012,1026,1031,1039,1046,1057,1062,1078,1085,1095,1103,1111,1114,1124,1132,1141,1150,1159,1172	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,19,32,37,50,56,65,71,83,86,98,104,118,123,135,137,148,162,164,173,191,322,329,341,351,360,367,374,382,390,402,408,419,424,437,440,600,605,610,622,628,635,646,653,663,671,686,694,701,706,717,726,737,738,747,757,765,775,782,797,799,810,818,824,832,843,853,859,870,876,887,898,900,911,921,932,940,944,954,961,974,981,992,1000,1010,1018,1027,1034,1038,1048,1061,1069,1074,1079,1093,1098,1109,1121,1128,1138,1141,1149,1158,1171,1173	1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
2,16,22,31,35,50,57,62,68,84,89,97,102,111,121,133,142,147,157,170,177,185,322,328,338,347,353,368,372,384,391,396,411,414,420,433,439,598,608,611,619,629,640,645,653,667,671,683,687,699,709,714,726,736,737,746,757,767,773,781,791,799,813,815,823,837,840,854,865,870,880,889,897,905,912,923,928,935,949,955,966,975,980,987,993,1003,1012,1026,1033,1044,1053,1060,1064,1072,1085,1091,1102,1111,1119,1126,1134,1142,1150,1160,1166	1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,21,30,41,50,58,61,70,79,90,98,103,113,127,134,144,149,161,162,173,196,320,330,337,351,354,363,375,386,390,396,411,414,426,434,445,599,607,612,624,635,643,650,655,665,676,680,688,699,710,719,724,737,743,750,760,768,776,782,796,804,812,814,825,838,846,848,859,872,878,886,894,903,910,924,927,935,947,957,962,973,984,991,994,1002,1017,1025,1029,1036,1052,1057,1070,1078,1080,1094,1096,1106,1120,1129,1132,1141,1149,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,18,33,39,47,59,61,71,77,89,98,107,113,121,135,143,149,155,166,178,187,320,335,340,350,357,362,375,380,388,401,404,416,423,433,440,596,601,613,618,626,635,647,658,668,674,681,694,696,711,718,728,730,738,748,755,765,778,785,789,801,811,815,830,835,841,852,858,873,880,890,891,906,913,920,929,940,950,956,960,974,979,987,998,1006,1015,1022,1032,1040,1050,1058,1067,1075,1086,1089,1102,1110,1118,1130,1132,1142,1155,1156,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
8,10,24,29,39,49,55,66,70,82,93,100,105,111,128,131,137,150,155,163,171,200,323,327,336,349,356,368,373,379,392,398,405,420,423,434,439,451,601,617,621,632,640,647,652,668,673,684,690,696,704,712,726,734,742,754,756,768,771,786,795,804,812,815,824,835,846,854,864,870,878,884,896,904,913,922,926,935,945,959,963,969,979,991,994,1003,1011,1026,1031,1039,1050,1061,1070,1075,1084,1093,1102,1108,1120,1129,1133,1143,1151,1158,1169	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,23,27,39,44,53,61,70,83,91,96,108,113,122,128,143,150,157,165,173,314,324,329,340,351,352,369,372,383,394,396,409,417,421,437,438,466,603,610,624,634,640,644,659,666,675,681,687,699,707,715,725,737,741,754,763,764,779,787,789,802,806,815,825,838,841,849,862,872,876,889,893,905,916,917,930,938,942,953,965,970,980,990,998,1007,1016,1021,1031,1036,1050,1060,1069,1075,1085,1092,1096,1105,1115,1129,1135,1143,1149,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,29,35,43,51,66,75,78,92,97,108,116,127,130,142,152,156,169,171,316,318,328,343,347,354,363,376,378,394,403,412,414,424,434,445,599,605,613,621,627,642,648,656,661,670,681,687,703,711,715,722,731,744,749,761,765,778,786,788,804,805,815,828,835,840,856,865,866,879,883,891,901,915,922,929,938,942,959,962,974,978,989,1002,1009,1017,1023,1035,1037,1053,1057,1065,1076,1082,1094,1101,1111,1118,1129,1135,1146,1150,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,26,35,42,52,61,73,84,92,99,109,119,122,135,136,150,159,169,173,314,325,328,336,350,356,365,376,384,392,396,405,416,425,430,439,466,608,609,620,632,640,647,655,664,669,679,686,697,710,713,721,734,738,748,754,767,773,788,790,803,811,815,826,832,843,851,858,867,877,882,896,903,909,917,930,937,942,958,963,968,981,987,995,1003,1013,1022,1029,1039,1051,1055,1068,1077,1083,1094,1097,1109,1114,1130,1134,1142,1152,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,23,28,35,45,54,63,71,79,91,95,108,112,120,132,142,151,159,167,174,315,321,331,341,347,360,363,371,385,389,398,411,415,428,434,443,598,604,612,622,633,635,649,656,666,677,678,687,703,710,712,726,729,745,750,758,764,771,784,795,798,809,815,823,833,841,850,864,868,877,887,895,905,914,919,928,939,946,951,962,975,981,987,1000,1007,1012,1027,1028,1041,1050,1054,1069,1071,1084,1087,1102,1106,1119,1129,1131,1143,1155,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,31,37,44,59,68,71,79,86,101,103,118,127,130,142,153,159,167,170,313,324,330,342,349,359,365,372,385,388,396,409,413,423,430,441,451,607,612,626,634,640,651,659,663,671,677,689,701,706,717,725,731,741,748,761,769,780,783,796,801,812,817,830,837,841,853,864,872,881,886,899,906,913,922,931,942,943,958,965,972,981,986,999,1004,1017,1021,1030,1036,1046,1059,1069,1072,1082,1093,1097,1108,1114,1126,1131,1139,1153,1161,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,30,35,43,59,63,68,77,91,100,108,115,122,134,143,148,161,170,178,317,321,334,341,350,358,368,373,382,389,400,405,417,421,436,440,599,606,611,625,628,641,650,660,666,671,684,691,700,704,718,722,730,737,754,756,771,777,780,788,802,812,814,824,834,842,851,865,871,875,888,891,901,915,923,928,939,944,954,965,973,984,993,1001,1009,1019,1024,1032,1041,1046,1060,1066,1074,1083,1089,1099,1106,1120,1125,1133,1144,1155,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,31,41,44,56,66,74,84,91,97,107,115,125,134,144,146,154,166,176,314,323,330,338,346,357,364,372,382,388,395,405,416,426,431,442,600,608,612,621,628,635,645,656,667,675,679,693,702,711,718,723,734,741,754,761,767,772,781,790,801,812,816,823,832,842,857,865,868,874,889,891,900,909,922,932,935,948,957,966,972,981,989,998,1010,1016,1023,1029,1038,1048,1055,1067,1074,1082,1095,1099,1106,1114,1127,1133,1141,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,27,39,45,51,60,71,82,93,95,108,111,127,132,142,150,161,165,175,317,321,334,336,346,358,365,374,379,390,396,406,413,425,435,441,466,602,611,623,634,642,650,655,667,676,678,689,701,710,712,727,733,741,753,762,767,772,786,791,799,806,819,826,838,842,852,863,866,875,890,896,907,912,916,928,939,945,955,964,971,984,989,994,1010,1017,1025,1035,1042,1047,1060,1064,1073,1086,1090,1099,1107,1121,1128,1135,1145,1155,1160,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,29,36,44,53,65,69,78,90,98,107,113,122,133,142,147,158,164,172,181,325,328,340,348,357,363,376,379,390,402,403,419,424,435,440,447,608,610,625,627,639,651,654,663,675,677,690,701,709,715,728,735,744,751,759,766,778,784,791,804,807,816,824,833,841,848,865,866,880,883,895,907,914,917,928,941,948,957,960,973,979,989,1000,1009,1012,1019,1031,1044,1046,1061,1067,1076,1087,1089,1103,1104,1121,1124,1138,1145,1149,1158,1171,1175	0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,15,23,30,36,48,56,60,71,82,88,100,110,117,121,136,144,147,157,169,172,318,325,329,340,349,356,362,375,386,388,402,411,417,421,432,439,448,600,610,625,627,637,645,655,668,670,683,690,699,711,713,726,731,738,750,754,765,777,784,796,802,811,818,825,839,841,854,859,873,877,889,892,907,912,925,928,934,944,957,959,968,978,990,996,1009,1018,1024,1036,1043,1046,1061,1066,1070,1084,1091,1100,1111,1115,1125,1136,1145,1150,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,32,40,47,52,65,76,80,93,99,104,115,124,132,143,152,156,165,172,314,325,332,338,351,354,361,370,386,387,400,407,420,428,435,444,596,607,612,618,630,639,647,656,665,671,683,694,699,711,718,720,730,745,749,761,770,776,780,792,803,811,818,829,835,843,848,857,872,875,883,894,906,911,919,926,935,949,958,960,974,979,985,998,1003,1012,1025,1035,1039,1046,1055,1066,1070,1086,1094,1104,1106,1121,1124,1134,1140,1155,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,32,40,49,59,61,73,80,91,101,104,115,124,134,137,150,158,166,172,313,323,330,341,350,357,365,374,385,389,398,405,417,427,431,441,468,603,616,620,630,640,649,659,665,675,681,689,696,708,711,722,729,738,754,761,768,775,786,793,803,808,822,826,833,845,854,864,870,876,889,896,904,913,918,930,939,945,952,963,968,984,987,1000,1008,1012,1021,1030,1043,1052,1053,1065,1077,1086,1091,1104,1112,1116,1123,1132,1143,1149,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,27,40,47,53,61,73,79,85,97,110,117,122,135,140,150,156,165,179,315,321,327,340,348,353,368,370,382,392,403,409,418,425,436,440,597,605,611,622,634,642,646,656,665,669,684,690,697,705,719,723,736,740,746,759,766,778,783,789,804,812,818,823,839,840,849,857,872,878,887,896,904,912,923,930,934,949,953,963,970,982,990,999,1009,1016,1021,1028,1041,1050,1055,1065,1071,1081,1093,1103,1112,1117,1124,1131,1139,1149,1160,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,27,39,50,55,67,74,84,86,100,109,115,123,133,143,146,159,164,173,180,320,333,342,348,358,368,375,379,391,399,412,413,428,429,444,598,608,611,622,632,635,648,652,661,670,681,691,695,705,716,725,732,741,753,760,767,777,780,791,802,806,820,824,833,842,856,862,866,876,890,894,907,911,924,933,937,950,951,966,975,981,985,1000,1003,1019,1021,1036,1042,1051,1057,1069,1078,1084,1094,1101,1106,1113,1126,1133,1143,1149,1159,1170,1178	1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,24,29,34,49,53,67,74,80,88,99,107,115,122,133,143,149,162,168,177,313,326,331,343,349,360,367,373,378,387,397,404,414,426,435,444,449,608,611,624,629,637,645,654,667,669,680,694,695,706,717,726,735,737,750,760,768,780,786,792,802,809,820,826,834,844,856,859,873,882,884,892,906,915,917,928,935,943,952,961,976,979,986,1000,1002,1016,1027,1035,1039,1050,1057,1067,1078,1087,1092,1099,1109,1115,1125,1131,1140,1154,1162,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,31,38,49,56,64,75,79,93,98,110,118,125,129,143,151,160,162,176,315,326,327,343,347,356,365,373,380,386,397,405,419,422,435,442,450,604,613,623,632,636,650,655,665,671,680,691,697,705,713,722,732,737,749,762,763,775,786,792,801,806,816,826,834,848,852,857,867,881,889,892,904,913,923,926,939,946,957,964,970,985,991,999,1005,1012,1024,1031,1042,1049,1060,1062,1076,1084,1095,1096,1106,1118,1125,1131,1143,1153,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,25,42,45,57,61,69,79,91,96,106,112,123,134,143,145,160,170,172,316,325,334,343,347,360,365,373,384,389,399,408,417,428,430,445,459,608,614,619,626,636,644,656,663,673,686,691,697,706,717,721,735,743,751,760,764,780,785,790,803,812,820,829,833,844,856,859,873,880,884,895,907,916,921,927,941,950,957,966,970,982,986,999,1003,1018,1019,1029,1040,1050,1058,1062,1074,1082,1094,1098,1107,1114,1125,1137,1141,1154,1157,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,32,39,48,57,63,68,77,90,101,104,112,124,133,136,149,160,169,175,316,319,327,338,347,358,367,374,378,392,402,403,418,427,437,441,466,606,613,621,628,638,646,657,665,669,680,694,696,707,712,728,729,737,751,761,766,780,787,797,800,813,818,825,834,841,849,860,868,877,890,894,908,913,918,929,935,946,951,959,973,977,993,1000,1009,1012,1024,1028,1039,1049,1060,1062,1071,1086,1088,1099,1105,1120,1122,1138,1145,1153,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,17,30,41,50,55,65,72,79,92,99,108,115,121,134,137,153,158,163,177,314,321,330,338,351,360,362,376,384,387,395,406,418,426,430,443,597,607,617,624,628,639,645,658,660,671,686,687,700,704,719,724,732,738,753,762,771,779,783,796,803,812,820,829,832,841,850,861,870,876,890,892,907,914,924,926,934,944,956,965,969,982,993,997,1003,1018,1025,1032,1044,1050,1054,1065,1077,1080,1092,1103,1108,1117,1124,1132,1146,1151,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,29,35,44,57,61,72,79,87,98,106,117,127,135,143,149,156,170,179,316,319,329,341,345,353,365,371,382,389,402,409,412,420,431,443,600,603,617,621,634,637,651,658,666,677,685,688,701,706,717,726,734,745,749,761,766,772,784,796,803,811,821,828,833,846,848,865,870,878,884,894,907,911,919,927,937,943,955,966,968,982,991,994,1004,1017,1025,1034,1044,1048,1060,1063,1077,1085,1096,1099,1109,1115,1123,1132,1143,1149,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,29,39,48,54,60,69,80,91,94,104,117,121,130,143,150,156,164,175,314,325,334,339,345,354,367,375,381,391,398,410,415,422,434,441,598,602,616,624,628,641,650,655,663,676,684,687,695,706,715,727,733,744,749,755,768,778,784,792,801,808,817,826,832,848,850,857,874,878,886,897,907,913,919,930,940,949,953,962,971,981,990,997,1005,1013,1020,1030,1039,1051,1061,1064,1074,1081,1089,1100,1108,1113,1128,1131,1145,1148,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,19,28,34,46,59,65,71,81,88,99,104,118,126,130,141,150,160,168,174,314,323,328,335,351,354,367,371,385,394,402,410,417,427,432,442,600,602,611,622,632,638,646,653,668,676,678,689,695,711,715,723,734,739,750,755,767,779,782,790,803,812,814,825,831,846,851,865,866,874,887,892,905,913,921,932,941,943,952,967,970,982,990,1000,1009,1014,1023,1035,1044,1045,1058,1067,1073,1085,1092,1096,1107,1117,1126,1137,1143,1155,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,26,39,50,51,64,76,78,89,95,106,118,121,132,140,149,155,162,176,314,325,331,336,348,358,362,376,381,392,396,404,420,425,435,444,449,607,612,623,627,636,647,654,665,670,683,686,702,710,719,722,732,740,749,757,769,778,780,791,801,810,817,830,834,847,850,862,867,880,889,896,902,912,922,932,939,948,959,967,973,985,989,1000,1008,1013,1021,1032,1038,1049,1061,1066,1077,1084,1095,1097,1107,1119,1121,1136,1140,1153,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,31,40,44,52,64,76,81,85,99,103,119,120,131,141,149,154,162,175,317,323,335,340,352,356,365,376,380,393,400,411,412,424,435,438,468,606,610,619,634,638,645,660,661,673,682,686,699,704,716,728,733,739,748,760,764,774,785,795,800,811,814,829,836,843,852,861,867,879,887,898,901,910,922,933,934,949,958,964,973,983,990,994,1002,1016,1020,1034,1039,1049,1054,1063,1073,1084,1091,1099,1105,1121,1126,1132,1140,1148,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,24,31,41,46,52,68,74,82,92,100,103,115,120,128,142,147,153,164,178,316,326,333,335,345,358,365,372,383,390,399,412,417,426,431,446,599,604,617,620,632,637,649,656,665,673,682,691,698,711,716,721,737,741,751,757,767,773,784,789,800,806,820,827,836,847,852,858,873,881,891,896,908,915,923,925,938,944,957,962,976,979,989,1002,1005,1011,1019,1034,1036,1045,1054,1065,1071,1081,1091,1103,1106,1119,1124,1130,1140,1150,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,32,42,46,57,62,69,83,93,98,105,114,122,129,141,149,158,169,177,318,319,333,336,352,359,365,377,380,389,401,409,412,421,433,441,597,602,613,623,627,643,645,652,661,673,678,692,697,707,720,722,735,739,754,756,769,772,782,790,799,814,818,828,836,844,852,857,873,876,888,897,903,910,919,932,935,947,955,965,969,981,992,997,1009,1018,1026,1033,1039,1045,1061,1067,1075,1080,1096,1102,1107,1117,1127,1138,1139,1155,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,27,39,46,56,67,74,80,89,99,103,113,123,128,141,151,160,164,171,187,319,335,342,347,353,366,375,380,389,397,407,413,424,431,441,469,607,611,619,633,641,647,653,662,676,678,690,695,710,713,724,733,741,746,762,770,778,787,795,799,806,816,823,833,841,854,862,870,879,886,894,903,911,922,930,938,947,953,961,972,981,991,997,1009,1014,1027,1034,1043,1051,1056,1063,1076,1083,1088,1096,1111,1120,1125,1135,1147,1151,1157,1170,1175	1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,9,19,27,41,43,55,62,75,81,88,99,110,118,122,134,143,145,155,167,175,190,320,332,340,347,356,362,375,379,392,399,410,417,421,437,439,598,604,613,625,631,635,650,652,666,676,685,693,698,704,714,727,737,743,754,759,765,772,780,791,804,813,820,829,835,847,854,859,867,875,888,892,899,911,918,931,937,944,955,963,975,984,985,999,1003,1017,1027,1028,1044,1051,1060,1066,1075,1082,1095,1099,1113,1121,1126,1133,1147,1149,1163,1167	1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,22,31,35,43,53,61,68,78,88,101,106,115,125,135,142,146,160,162,176,188,318,331,342,346,359,364,376,378,393,396,406,413,425,430,442,599,601,615,623,630,641,645,653,665,672,677,690,701,707,715,724,737,742,749,756,765,779,788,795,800,811,817,826,834,847,855,863,868,875,889,898,907,914,918,925,938,950,951,961,972,982,992,997,1007,1014,1021,1032,1036,1051,1056,1065,1073,1083,1088,1097,1106,1114,1125,1135,1145,1148,1160,1168,1174	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,18,27,34,49,58,60,71,78,89,96,103,116,120,130,141,148,157,162,171,182,324,334,338,347,353,368,369,383,394,402,410,415,427,434,442,596,602,613,624,632,639,651,660,666,671,679,690,695,709,713,722,734,743,750,757,768,778,785,793,800,806,814,825,832,845,852,860,872,880,885,896,903,915,917,931,940,947,955,959,972,979,992,995,1003,1013,1025,1032,1038,1050,1057,1066,1073,1083,1093,1100,1112,1115,1123,1132,1141,1155,1156,1169,1175	1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,19,29,36,45,59,60,72,84,93,96,102,111,126,128,142,145,156,165,178,191,325,329,337,351,358,367,373,378,393,395,411,419,426,437,441,599,601,615,624,627,638,644,652,664,677,685,693,700,708,718,725,733,739,754,759,769,776,780,789,803,806,816,824,834,843,848,864,871,876,889,893,907,915,919,928,935,946,955,961,971,983,992,999,1005,1014,1019,1034,1042,1049,1055,1066,1078,1085,1089,1100,1106,1121,1129,1132,1144,1152,1159,1172	0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,11,18,27,40,43,57,60,76,83,92,95,109,116,122,133,144,153,154,164,176,198,323,327,343,350,354,361,376,383,387,403,405,414,421,434,438,598,604,611,620,632,643,648,656,668,676,678,693,696,709,718,721,733,743,749,757,765,776,780,794,800,808,815,827,832,846,855,859,866,881,889,899,900,914,923,930,939,946,953,961,976,982,985,994,1009,1017,1025,1034,1038,1051,1061,1066,1077,1084,1091,1096,1105,1116,1124,1132,1145,1153,1160,1167,1178	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,8,18,29,42,46,54,60,74,81,90,98,105,117,124,135,143,146,160,166,175,183,326,328,336,346,359,364,371,382,391,398,407,419,427,436,440,470,607,613,619,631,636,647,652,662,672,682,687,696,710,713,723,736,741,746,760,769,773,780,791,804,813,817,826,835,847,856,863,873,878,890,899,906,915,917,931,936,948,954,963,971,983,985,994,1007,1018,1019,1031,1042,1047,1055,1067,1075,1079,1092,1096,1108,1121,1126,1138,1144,1152,1159,1171,1175	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,16,17,34,35,48,55,62,71,83,93,98,108,113,127,130,143,153,159,169,175,189,323,332,337,352,358,365,372,379,391,402,410,418,422,430,441,596,607,614,622,627,642,648,659,666,675,683,694,697,705,717,725,732,743,749,760,763,775,787,792,801,811,817,826,832,841,849,859,873,881,887,898,904,914,923,927,938,946,956,967,969,978,989,995,1004,1013,1020,1028,1044,1046,1056,1069,1073,1085,1090,1098,1106,1115,1130,1135,1146,1154,1157,1171,1178	1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
4,12,20,30,37,46,57,63,73,82,89,98,102,114,120,132,140,148,155,170,176,315,320,331,337,350,360,365,372,378,387,401,410,418,422,437,443,466,606,612,621,634,637,644,656,667,673,679,687,701,707,712,725,737,744,750,757,770,779,782,795,797,813,815,827,838,841,854,865,866,878,883,894,906,912,921,933,935,948,952,960,969,984,992,994,1004,1018,1019,1034,1041,1046,1053,1064,1075,1080,1096,1097,1109,1117,1127,1138,1140,1149,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,32,40,50,55,62,70,81,88,95,105,118,124,131,140,147,157,163,174,182,326,327,341,344,356,363,376,385,391,403,410,418,425,431,439,598,604,616,620,631,642,648,659,660,671,684,691,703,707,714,726,734,742,751,756,766,775,788,796,800,808,822,830,832,846,854,858,868,879,888,891,905,910,923,933,935,943,955,960,975,980,992,998,1008,1015,1021,1031,1038,1046,1059,1066,1077,1080,1092,1099,1110,1115,1122,1133,1147,1155,1161,1171	1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,24,27,41,43,54,66,71,84,93,97,110,117,122,135,139,149,154,167,173,185,319,334,343,346,359,369,377,386,394,400,406,419,424,435,442,457,601,614,626,631,638,643,659,666,670,684,692,696,704,713,725,730,741,754,758,770,774,786,791,797,806,816,830,833,847,851,860,873,875,890,896,901,911,923,925,934,950,958,964,975,978,992,1000,1010,1012,1021,1028,1036,1045,1054,1070,1076,1082,1088,1101,1111,1119,1123,1132,1145,1148,1164,1166,1176	1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,16,24,26,42,45,56,64,69,80,91,96,107,113,122,130,142,147,162,168,172,186,322,330,337,344,355,362,377,385,386,396,405,419,424,433,445,596,601,612,619,628,635,650,657,661,673,683,694,695,704,714,728,730,740,749,756,770,774,785,791,801,808,820,830,839,845,854,858,869,874,888,893,906,908,924,929,942,946,956,966,974,981,988,995,1007,1013,1026,1030,1038,1049,1061,1070,1077,1083,1095,1102,1109,1115,1129,1130,1147,1151,1163,1168	0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,24,27,39,44,58,60,70,79,86,94,104,115,121,131,140,152,160,163,177,181,321,331,341,350,359,368,375,385,389,403,407,419,423,431,444,465,605,609,625,629,642,648,655,667,671,679,689,699,703,717,721,730,746,747,760,771,775,785,797,802,810,816,830,831,845,852,865,866,879,887,894,903,910,918,930,939,949,952,961,969,981,987,1000,1005,1017,1026,1032,1040,1053,1057,1067,1070,1086,1093,1098,1109,1119,1129,1136,1144,1154,1161,1168	0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,20,26,34,43,54,59,69,77,87,99,105,118,125,134,144,153,161,170,175,190,323,329,342,350,360,366,375,379,392,402,408,416,422,431,442,598,603,616,625,628,639,645,656,669,673,682,694,699,706,714,725,736,741,746,762,763,772,787,791,799,808,821,830,835,848,853,859,873,876,886,899,906,909,922,931,935,950,957,960,975,983,988,995,1005,1017,1026,1028,1037,1046,1059,1069,1078,1085,1095,1101,1111,1113,1122,1132,1143,1155,1158,1169,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,22,26,35,48,56,63,73,84,91,101,108,118,124,130,144,151,156,165,179,189,319,329,340,352,356,368,373,385,387,396,409,420,424,433,441,447,605,613,623,631,643,646,654,665,671,685,693,697,707,713,723,729,741,750,759,768,772,781,793,802,811,816,828,831,842,856,862,873,880,887,892,904,915,922,926,941,945,955,965,971,982,992,995,1009,1017,1023,1031,1043,1051,1059,1064,1074,1082,1095,1100,1107,1114,1129,1135,1143,1155,1162,1170	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,23,30,39,49,56,60,72,81,88,97,106,114,120,136,141,146,156,168,172,313,326,328,343,348,355,364,370,381,386,395,407,415,428,432,442,469,603,610,624,630,639,644,653,668,674,679,687,696,710,714,725,733,741,747,756,770,775,788,797,801,811,820,829,832,843,849,861,871,875,890,898,905,908,921,932,936,943,953,966,971,981,985,1000,1004,1014,1024,1028,1038,1047,1061,1068,1072,1083,1092,1096,1106,1118,1123,1133,1139,1147,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,20,31,35,45,56,61,74,84,85,98,109,112,125,133,142,147,153,170,172,314,326,332,342,347,359,368,372,381,389,396,405,413,427,431,441,599,603,609,621,634,639,651,653,663,676,682,687,698,708,717,724,734,743,747,760,767,774,784,792,800,809,819,826,836,848,855,858,868,876,887,897,905,909,918,926,938,950,958,960,973,982,992,1000,1008,1011,1021,1031,1038,1046,1058,1065,1072,1086,1093,1103,1113,1120,1124,1138,1143,1152,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,18,26,36,49,52,61,75,79,92,98,107,111,120,134,144,153,154,167,179,315,320,327,343,350,355,368,376,379,390,400,404,415,423,436,438,448,604,615,625,628,642,651,657,661,672,682,690,697,711,715,720,733,745,753,758,766,777,783,797,798,811,822,826,837,841,849,859,873,882,888,897,904,910,919,932,940,947,957,961,976,978,987,998,1008,1017,1026,1033,1038,1051,1053,1062,1072,1086,1090,1102,1111,1114,1127,1136,1144,1151,1159,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,18,29,41,46,54,63,72,84,91,97,105,113,126,131,144,149,156,162,176,313,325,333,340,345,359,369,373,379,390,399,409,418,425,430,440,598,605,612,622,631,637,648,654,662,675,679,688,696,706,716,725,730,743,747,755,768,773,788,789,797,812,819,831,833,846,853,857,870,876,888,894,903,910,918,925,938,943,955,961,971,979,988,999,1003,1018,1023,1030,1039,1052,1054,1063,1074,1079,1088,1101,1111,1119,1130,1138,1146,1149,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,24,33,38,44,57,61,76,81,89,97,103,114,125,134,140,148,155,167,179,316,326,334,342,345,355,368,371,383,388,400,409,418,423,437,439,460,604,614,622,627,639,644,655,665,670,684,691,697,709,720,724,734,740,753,762,767,775,782,794,801,810,818,823,838,847,850,865,873,879,885,892,907,911,921,933,941,949,957,966,969,984,986,997,1010,1018,1025,1032,1038,1052,1057,1062,1072,1083,1094,1102,1107,1118,1122,1135,1144,1155,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,17,27,36,44,56,61,75,79,92,101,106,117,124,131,142,153,158,165,177,314,324,335,338,352,356,366,370,384,391,396,411,415,423,435,443,597,609,616,618,626,635,644,654,668,677,683,690,698,708,712,728,729,741,754,758,765,776,781,796,800,810,819,823,831,843,857,864,867,882,886,892,903,914,921,926,940,947,957,962,972,984,992,994,1003,1011,1026,1032,1043,1048,1055,1062,1074,1084,1091,1100,1112,1113,1128,1131,1143,1149,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,25,27,34,50,51,60,71,78,87,102,104,115,124,135,142,147,156,164,171,315,322,335,336,345,356,362,372,382,393,395,410,412,422,433,438,457,601,610,618,631,639,645,657,662,674,679,687,696,707,712,723,737,740,747,758,767,773,787,789,801,810,817,829,833,840,853,862,866,882,887,899,907,916,922,931,942,947,953,961,972,983,992,999,1004,1013,1019,1032,1044,1052,1058,1066,1078,1081,1096,1097,1109,1113,1124,1138,1146,1147,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,31,34,46,53,60,72,82,92,96,104,114,126,132,141,145,161,170,179,316,324,331,335,346,356,361,376,382,393,402,411,419,428,435,441,470,606,612,618,630,636,651,660,662,673,680,688,701,704,713,722,737,743,750,759,766,773,781,794,805,808,821,830,832,846,856,861,869,879,884,892,908,916,925,927,935,946,959,966,973,977,988,994,1004,1012,1022,1032,1038,1051,1053,1066,1077,1081,1093,1099,1111,1119,1125,1134,1139,1153,1160,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,29,38,46,56,62,71,84,87,95,109,117,122,130,138,148,157,169,175,182,319,328,339,345,355,368,375,379,389,396,409,416,426,429,443,452,606,616,620,630,638,648,652,663,677,678,689,696,704,712,724,729,739,746,755,768,776,785,790,797,812,819,829,833,840,856,859,871,880,884,895,903,909,921,926,940,945,951,962,975,979,993,995,1004,1017,1022,1029,1043,1049,1059,1066,1073,1080,1095,1103,1111,1113,1122,1134,1145,1155,1163,1165	1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,11,23,33,38,44,52,61,68,77,88,99,102,113,119,134,140,152,155,169,171,317,324,330,341,347,356,368,371,380,392,399,409,417,423,437,442,448,607,612,622,633,638,646,658,667,671,683,686,699,705,717,728,733,742,748,756,766,774,781,793,798,810,818,824,834,847,853,863,872,881,884,891,906,910,918,929,938,945,956,963,973,980,989,1000,1003,1014,1027,1034,1036,1051,1056,1065,1071,1085,1092,1103,1106,1114,1130,1134,1141,1150,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,29,40,46,53,60,68,85,86,97,107,114,125,128,137,146,154,166,173,316,325,331,336,346,360,362,375,384,392,398,408,416,427,433,443,596,605,615,620,631,635,644,654,666,672,680,688,699,707,718,721,733,740,753,755,766,778,787,791,797,810,820,826,834,848,855,859,870,882,884,895,902,913,924,931,936,944,953,965,969,983,986,998,1006,1013,1025,1031,1040,1045,1059,1063,1071,1084,1088,1096,1106,1114,1130,1131,1139,1150,1157,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,25,37,47,54,66,75,79,88,96,108,118,128,131,137,153,158,167,175,313,326,329,341,349,360,362,371,380,388,398,404,420,427,429,441,597,607,611,618,629,637,651,653,666,673,686,692,699,705,718,724,732,737,749,759,768,778,780,795,800,810,821,828,831,846,848,859,870,875,890,893,907,912,924,933,935,945,958,966,969,982,992,999,1004,1013,1020,1034,1044,1047,1054,1069,1075,1084,1093,1099,1107,1117,1124,1138,1144,1152,1163,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,31,42,49,53,66,68,76,87,101,103,116,126,131,140,151,161,169,178,314,323,328,340,351,352,365,375,384,393,397,410,419,425,431,438,600,602,617,620,629,642,650,657,662,671,681,693,702,707,716,726,735,739,752,757,769,772,783,796,797,811,817,831,837,844,850,864,869,879,888,892,902,909,925,928,937,943,956,963,969,978,990,995,1004,1012,1022,1031,1044,1052,1057,1065,1073,1083,1092,1104,1106,1113,1126,1131,1139,1151,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,29,38,46,52,60,69,76,92,94,104,115,127,136,144,153,161,165,177,180,321,334,336,345,353,365,377,385,388,401,411,415,423,436,439,459,606,614,619,634,635,647,656,665,674,681,691,696,711,718,723,731,744,750,761,767,778,787,788,798,812,816,826,831,841,856,860,865,880,887,899,906,909,924,930,942,945,955,960,974,984,993,1001,1010,1016,1021,1031,1038,1050,1058,1063,1078,1084,1091,1101,1108,1117,1123,1132,1141,1155,1157,1172,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
3,16,17,33,41,50,58,61,76,80,88,99,110,116,125,128,144,151,161,165,177,317,321,331,343,350,355,366,375,379,392,402,410,415,423,430,444,600,601,613,621,629,642,651,656,661,675,684,686,695,708,716,721,734,739,749,762,770,780,785,795,799,812,819,823,839,840,848,862,871,874,883,895,902,911,924,926,935,943,957,964,975,982,988,1001,1003,1013,1022,1036,1042,1050,1056,1065,1072,1085,1089,1099,1106,1120,1122,1134,1144,1153,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,23,28,42,46,59,63,73,82,93,96,108,118,124,128,140,149,154,165,178,313,318,327,338,350,355,363,376,384,391,401,404,414,420,435,445,596,606,616,624,631,641,644,658,663,677,684,694,702,707,712,727,730,742,749,757,765,772,788,796,804,808,815,830,837,843,855,865,872,876,885,892,900,916,917,929,936,944,959,962,970,984,986,1001,1003,1011,1022,1029,1037,1051,1055,1066,1078,1081,1093,1098,1106,1119,1125,1131,1145,1151,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,31,39,48,55,67,69,81,93,97,102,115,127,129,138,152,154,163,175,313,326,333,343,347,353,368,369,385,393,400,407,416,422,432,445,598,603,617,624,631,638,647,656,667,672,679,694,699,708,713,726,736,744,749,757,763,780,787,790,799,814,815,824,834,842,849,858,866,881,884,892,902,913,924,931,940,945,953,964,975,979,988,993,1005,1014,1024,1032,1043,1051,1056,1067,1071,1083,1093,1100,1112,1113,1130,1134,1146,1151,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,21,28,38,50,55,61,72,84,90,100,108,111,126,130,138,146,160,166,172,313,324,330,339,346,360,365,373,380,394,399,405,417,424,435,443,598,605,616,620,633,642,644,657,666,674,679,686,695,710,713,728,734,744,752,759,771,772,786,796,801,807,819,829,837,841,850,858,871,876,883,896,902,914,918,928,937,948,958,966,970,979,985,1000,1003,1017,1021,1032,1044,1049,1054,1069,1077,1086,1096,1101,1106,1114,1128,1136,1140,1148,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,30,39,48,56,63,69,83,93,94,104,117,120,136,144,151,159,168,172,316,326,329,338,350,354,361,377,384,389,397,407,412,422,431,440,597,607,614,626,630,637,651,657,666,674,686,692,701,710,712,723,730,745,749,755,767,777,785,797,804,809,820,822,837,846,855,859,870,881,885,899,907,914,921,932,934,947,959,966,975,983,990,996,1006,1012,1021,1032,1043,1046,1058,1067,1072,1081,1093,1102,1109,1119,1122,1138,1144,1147,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,17,27,36,44,57,67,72,82,87,97,102,113,124,133,141,146,158,165,172,317,325,334,342,351,353,363,373,382,386,397,406,420,425,435,443,599,602,616,626,628,635,647,659,666,671,678,691,696,706,714,726,730,738,751,761,764,775,786,794,800,807,815,830,832,847,852,858,870,880,886,898,904,912,919,926,941,948,951,961,972,977,992,1000,1003,1015,1021,1034,1041,1049,1061,1066,1070,1086,1089,1099,1110,1120,1128,1134,1144,1155,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,20,30,34,48,59,64,76,84,91,101,104,112,122,129,144,152,155,168,172,316,318,329,336,349,354,366,369,386,390,396,407,418,424,437,442,460,604,609,620,627,642,649,659,662,676,679,690,698,711,716,726,737,745,748,756,765,778,783,793,800,810,817,829,835,848,856,858,867,877,883,894,903,911,917,928,940,945,952,963,970,982,989,993,1007,1011,1024,1034,1037,1049,1053,1066,1074,1084,1096,1104,1105,1114,1128,1138,1143,1154,1164,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,30,38,45,59,66,70,84,86,100,104,114,122,135,142,147,161,166,172,313,324,332,340,345,358,369,377,378,388,395,403,415,423,431,444,599,608,610,618,629,643,651,653,667,675,684,691,702,707,714,720,729,745,748,756,765,776,786,796,805,810,817,825,834,848,851,859,869,874,888,895,901,916,925,930,937,950,954,964,970,980,993,1001,1007,1011,1020,1035,1044,1051,1060,1069,1078,1082,1087,1101,1105,1119,1125,1132,1139,1152,1158,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,29,41,50,56,66,69,83,91,101,105,114,125,133,137,153,157,163,175,316,318,326,343,347,352,364,374,386,390,403,408,417,424,429,443,597,602,612,618,629,640,645,655,665,676,681,693,697,710,717,728,729,741,750,761,771,773,787,796,797,814,820,828,835,840,852,861,871,876,883,895,900,914,919,932,936,949,957,967,975,979,989,996,1009,1015,1024,1035,1038,1045,1059,1068,1077,1086,1092,1101,1112,1117,1128,1138,1145,1150,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,20,33,42,46,55,67,68,85,90,95,106,116,120,136,141,148,156,166,172,313,321,333,339,347,358,364,375,385,389,399,404,412,426,435,446,461,601,612,626,628,641,646,656,668,673,686,694,702,710,720,722,735,740,751,758,771,776,781,796,804,811,818,830,837,840,853,861,873,879,883,897,905,915,923,930,939,951,953,963,969,981,991,1001,1005,1018,1025,1030,1038,1052,1061,1064,1077,1080,1088,1096,1112,1119,1123,1137,1147,1148,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,33,34,45,54,64,69,82,87,98,107,114,127,128,142,153,159,165,172,316,326,327,336,345,360,366,374,381,390,395,403,414,427,436,445,599,604,613,624,627,642,647,652,666,674,682,689,697,711,717,723,730,745,749,762,763,779,782,793,803,808,819,826,834,843,852,858,871,878,886,896,902,912,917,931,937,949,952,962,973,978,993,998,1004,1015,1022,1034,1041,1051,1053,1069,1078,1081,1089,1097,1111,1116,1123,1134,1139,1149,1160,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,25,27,37,47,56,66,68,79,90,101,110,116,121,136,141,150,160,163,172,317,320,327,335,351,355,362,369,380,393,402,405,417,420,430,440,600,607,610,620,633,641,647,654,662,675,684,686,696,706,718,728,733,737,752,757,767,774,782,789,801,811,822,827,832,840,856,862,866,877,885,891,906,915,924,933,935,945,956,968,974,984,985,1000,1004,1015,1025,1031,1039,1045,1058,1070,1075,1082,1089,1100,1106,1121,1129,1137,1140,1148,1160,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,27,42,43,55,63,71,80,90,98,103,111,121,133,139,146,154,163,174,188,319,326,336,349,360,366,369,378,390,403,408,413,426,435,439,596,606,611,621,634,637,648,655,663,669,682,689,696,705,713,720,729,745,751,760,766,778,786,790,803,806,819,826,836,840,848,864,866,881,890,899,901,911,923,931,935,945,958,961,974,981,986,994,1010,1014,1026,1036,1040,1049,1058,1062,1078,1084,1092,1097,1107,1119,1122,1137,1144,1151,1159,1164,1176	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0
2,13,19,31,40,44,51,64,73,77,88,95,106,118,121,135,136,145,153,166,178,184,321,330,340,344,355,363,372,382,387,398,411,413,424,430,438,597,606,612,624,627,642,648,653,663,673,683,686,700,711,719,724,734,745,753,762,763,778,787,788,801,812,820,829,836,846,852,862,869,877,887,894,900,913,917,928,937,949,957,966,976,983,987,995,1004,1016,1020,1029,1041,1045,1057,1069,1076,1086,1092,1101,1108,1116,1123,1132,1143,1150,1161,1167,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,19,27,36,50,53,61,75,81,85,101,103,114,124,136,142,151,158,163,177,180,320,334,337,349,357,361,370,381,390,403,404,419,428,434,445,597,606,617,618,632,640,650,652,666,671,684,687,698,709,718,724,737,743,747,760,765,774,782,792,802,812,821,829,835,845,850,863,869,875,890,894,904,914,922,931,939,950,959,965,975,983,985,998,1002,1012,1024,1031,1043,1051,1057,1069,1076,1079,1088,1098,1106,1113,1122,1133,1146,1148,1159,1169,1174	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,16,19,26,35,44,56,66,70,81,87,97,109,119,127,136,143,147,155,166,177,179,324,328,338,350,358,364,372,382,394,399,411,416,427,434,442,453,603,615,623,628,643,649,658,667,670,683,693,700,711,715,722,736,745,751,758,771,776,788,789,804,808,817,825,833,845,851,858,869,881,888,892,907,913,924,927,941,942,956,964,971,981,992,1000,1002,1013,1022,1036,1040,1046,1058,1067,1072,1087,1092,1101,1110,1119,1125,1132,1146,1148,1159,1173,1178	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,19,27,37,49,52,66,69,84,88,99,106,116,120,134,142,152,154,166,173,187,321,329,338,351,352,361,376,379,388,396,405,412,426,430,441,596,605,615,622,629,638,645,657,661,675,681,691,696,707,714,724,731,739,753,760,763,771,783,794,800,806,819,829,834,847,849,861,866,881,885,897,904,914,923,931,941,943,954,966,971,979,985,1000,1009,1014,1021,1029,1040,1048,1061,1063,1075,1083,1092,1101,1110,1114,1122,1130,1147,1148,1160,1166,1175	0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,21,33,34,46,51,67,68,85,86,98,108,118,121,133,143,149,154,167,172,188,325,329,337,344,354,364,373,379,394,395,410,414,428,431,438,600,604,616,623,632,640,646,653,664,672,679,691,699,708,717,727,729,740,751,757,764,773,787,790,797,812,820,823,838,840,854,860,870,880,883,898,902,915,924,932,938,948,959,964,976,981,993,999,1003,1019,1027,1035,1038,1045,1057,1067,1079,1086,1090,1104,1112,1120,1123,1134,1139,1152,1160,1172	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,9,23,29,41,50,56,64,69,76,92,95,108,113,125,128,140,151,161,163,178,181,325,330,342,346,359,364,376,378,393,398,407,413,427,429,441,600,604,614,626,633,638,649,652,668,676,683,686,701,711,716,721,729,743,751,758,763,773,781,792,799,808,814,826,836,846,851,860,867,876,886,895,901,916,918,928,941,948,957,965,974,983,987,993,1006,1018,1024,1030,1042,1051,1059,1062,1070,1080,1093,1103,1109,1114,1124,1137,1146,1153,1162,1172,1173	1,0,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,20,31,38,50,55,60,70,85,88,94,109,112,120,128,144,148,156,166,174,184,319,335,343,348,359,365,370,381,387,403,407,420,422,432,438,596,608,615,626,632,638,644,653,665,671,681,694,697,705,717,728,736,743,747,756,768,780,781,789,798,809,822,830,832,845,848,863,866,879,888,891,900,912,922,926,940,944,954,961,972,980,990,997,1006,1017,1021,1027,1044,1050,1058,1064,1076,1085,1091,1103,1109,1120,1126,1131,1140,1153,1160,1166	1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,20,29,39,50,51,63,75,79,86,99,106,113,124,135,136,145,159,165,173,315,322,329,339,347,356,364,371,385,392,399,405,416,427,433,444,596,605,610,619,631,642,644,657,663,671,681,687,699,707,714,727,733,743,746,762,763,777,787,792,800,810,821,826,833,843,856,858,873,878,889,892,906,913,922,933,939,950,957,966,970,980,988,997,1009,1013,1024,1035,1037,1048,1061,1065,1075,1087,1093,1098,1108,1115,1129,1136,1143,1150,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,29,38,50,55,62,70,82,85,96,104,116,119,134,140,149,154,165,173,196,321,330,335,352,354,368,376,378,393,398,406,413,422,429,443,451,602,616,622,632,638,650,654,664,677,678,691,695,710,712,721,737,738,752,762,767,779,783,797,798,810,819,829,833,848,852,858,869,879,883,899,901,914,920,929,941,949,958,964,970,980,993,999,1007,1015,1022,1034,1041,1053,1058,1069,1079,1083,1090,1099,1105,1115,1122,1138,1142,1155,1163,1167	1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,25,29,42,49,58,60,76,78,86,94,103,112,121,134,138,147,160,166,178,181,324,332,340,351,356,367,374,383,391,400,405,412,427,432,440,596,604,617,625,633,638,647,654,666,677,679,689,698,705,720,727,729,740,754,755,763,773,780,793,802,814,815,826,839,847,850,861,869,879,883,894,903,915,921,925,935,946,955,962,970,976,987,998,1003,1012,1021,1034,1042,1051,1058,1070,1075,1084,1088,1100,1107,1115,1122,1131,1141,1152,1158,1172,1178	1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,24,26,37,50,57,62,70,79,90,100,110,116,123,129,140,152,157,167,175,188,324,334,336,351,356,364,377,385,394,397,404,414,421,430,439,455,609,610,626,632,639,649,656,667,674,682,693,696,708,717,725,732,741,748,761,765,776,781,796,800,807,819,828,832,846,848,862,865,882,886,899,903,912,919,932,939,943,955,962,970,984,986,996,1003,1012,1021,1031,1040,1045,1056,1063,1078,1079,1094,1104,1109,1118,1122,1136,1139,1150,1156,1170,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,11,24,29,39,48,58,65,74,84,92,100,104,112,126,130,144,148,153,167,177,184,319,332,343,346,360,367,372,381,390,402,404,414,421,435,438,597,605,612,622,630,642,646,658,661,671,683,694,695,711,712,725,736,738,753,758,767,771,784,794,802,811,815,823,836,847,852,858,871,875,883,895,902,910,917,928,935,946,956,961,971,981,988,999,1006,1012,1026,1033,1038,1047,1060,1069,1070,1086,1096,1101,1110,1115,1123,1135,1144,1151,1159,1165,1178	1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,24,28,42,51,52,62,72,78,90,94,110,112,127,129,142,149,157,165,174,188,323,331,335,350,359,367,373,382,393,400,405,420,423,432,441,458,601,612,621,627,635,648,654,667,674,680,688,703,710,718,725,733,738,747,758,765,771,787,790,804,806,821,828,835,846,852,861,868,875,884,897,900,914,920,931,940,944,956,963,971,979,993,995,1008,1010,1020,1028,1037,1052,1055,1068,1074,1084,1093,1103,1107,1119,1129,1130,1143,1154,1159,1171,1176	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,22,28,41,45,57,62,69,82,91,99,106,114,122,129,143,151,159,167,171,179,319,335,336,351,355,362,377,381,392,402,408,414,428,432,446,459,603,613,622,629,637,648,658,662,670,683,688,697,711,712,725,731,744,754,760,770,777,780,793,800,811,820,827,831,842,853,858,866,881,884,891,901,909,920,928,936,948,958,964,973,976,992,1001,1009,1015,1025,1031,1036,1052,1060,1062,1078,1079,1093,1103,1107,1117,1127,1133,1141,1154,1161,1170,1173	0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,10,25,30,40,47,54,63,69,83,87,98,103,112,126,134,139,147,159,169,173,315,321,329,337,347,360,364,375,381,390,403,404,414,421,434,443,599,604,614,623,632,640,647,654,662,677,680,694,700,707,715,723,735,743,751,761,764,774,785,792,805,810,821,825,838,841,849,861,869,875,890,893,905,912,918,929,939,942,955,967,973,983,988,995,1003,1014,1023,1034,1042,1050,1054,1064,1076,1079,1092,1103,1106,1118,1129,1132,1142,1151,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,25,32,36,46,54,66,72,82,87,97,108,111,120,128,141,153,156,170,171,314,322,333,337,344,353,368,374,385,390,402,405,418,425,436,438,456,604,609,625,631,636,647,659,668,673,682,692,698,704,715,726,734,738,747,759,765,776,788,796,802,813,819,829,834,844,856,860,869,882,883,893,903,913,925,932,938,949,952,964,972,979,985,998,1009,1017,1021,1035,1041,1049,1053,1070,1077,1083,1095,1104,1110,1113,1127,1135,1141,1156,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,30,41,49,52,61,73,83,89,100,107,118,124,132,143,147,154,163,175,318,323,329,339,348,353,365,377,384,394,401,406,413,428,434,443,597,607,610,625,630,635,644,652,662,674,680,689,698,710,712,725,737,745,748,760,766,777,780,791,804,810,821,828,832,844,854,857,868,874,884,896,901,908,917,929,940,944,954,961,974,978,990,993,1005,1014,1020,1033,1039,1053,1061,1063,1074,1084,1088,1099,1108,1118,1127,1130,1144,1149,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,22,27,40,49,59,65,71,78,87,97,109,118,121,130,138,151,158,163,177,317,323,328,338,351,360,362,374,383,394,402,408,419,423,433,443,597,601,612,622,629,637,647,658,665,670,681,689,700,708,720,721,732,741,753,756,765,771,783,789,799,811,816,830,839,841,856,862,872,879,887,898,905,912,916,925,935,944,957,961,970,981,988,998,1008,1018,1020,1035,1041,1046,1058,1070,1078,1084,1092,1102,1104,1114,1128,1136,1147,1153,1162,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,19,32,42,48,55,65,73,79,90,95,105,117,123,131,141,152,155,169,177,315,323,327,337,350,358,368,375,380,395,400,406,418,420,433,442,597,606,615,623,633,640,650,656,662,675,681,690,702,705,720,724,729,741,749,754,763,772,785,795,800,807,819,831,832,841,853,857,871,874,891,899,901,912,920,928,935,948,957,967,972,977,990,1001,1007,1016,1024,1035,1037,1053,1059,1062,1075,1082,1094,1098,1107,1114,1127,1134,1140,1151,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,29,41,45,51,63,74,78,91,94,103,118,126,133,137,151,159,167,173,317,323,332,338,348,356,361,373,378,392,397,403,413,424,431,438,456,602,615,624,633,638,650,660,662,676,680,690,701,710,713,723,731,739,751,758,769,772,788,792,802,809,814,829,837,843,849,860,869,881,889,899,900,912,918,931,940,942,954,964,971,982,991,993,1003,1013,1020,1032,1044,1045,1061,1069,1074,1080,1092,1097,1110,1114,1123,1130,1144,1150,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,23,31,37,50,58,67,76,77,87,101,110,118,125,129,143,153,160,167,178,314,322,328,341,350,353,362,370,381,388,399,407,420,424,431,440,471,605,609,619,629,639,646,655,662,674,679,694,702,709,719,728,732,743,749,759,767,780,787,793,798,809,819,825,836,848,849,861,871,877,884,894,906,914,924,928,936,948,952,966,974,979,991,996,1008,1011,1025,1031,1044,1050,1059,1070,1074,1085,1094,1102,1110,1114,1128,1136,1144,1149,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,28,36,50,54,64,72,81,91,98,107,118,123,128,142,149,155,164,171,314,322,329,336,348,359,363,376,384,390,399,410,414,421,436,445,599,601,609,620,629,636,647,659,667,670,677,693,695,710,720,725,736,739,752,759,764,778,786,793,805,811,816,831,836,848,854,863,873,876,885,893,900,912,923,926,940,942,953,964,973,977,992,996,1009,1013,1022,1033,1036,1049,1055,1065,1076,1080,1089,1102,1107,1113,1122,1136,1146,1147,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,26,34,44,52,63,71,83,87,101,110,113,122,135,140,146,155,166,171,189,326,327,342,350,353,365,376,383,394,403,408,418,423,433,438,600,604,617,625,626,640,650,660,668,673,678,694,695,707,714,726,737,742,752,761,763,775,784,789,798,812,822,825,839,842,856,863,868,875,883,894,905,910,916,925,941,948,958,966,976,980,990,996,1005,1016,1026,1028,1038,1052,1060,1064,1072,1082,1088,1103,1112,1114,1130,1133,1146,1148,1156,1168	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,27,37,43,58,63,74,79,88,100,110,113,128,134,137,150,160,165,174,316,326,328,341,348,353,365,374,385,389,397,411,418,424,429,446,600,603,610,620,629,639,646,658,664,671,682,689,699,711,713,723,729,742,746,761,768,777,787,796,801,814,818,828,834,844,855,862,868,879,883,895,905,909,920,929,934,950,958,963,968,977,992,995,1006,1013,1022,1030,1043,1051,1061,1066,1074,1086,1091,1103,1108,1116,1125,1137,1145,1155,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,29,34,47,53,63,74,80,90,94,111,112,127,128,138,148,154,168,171,316,321,329,342,350,356,364,374,378,387,395,406,415,427,433,443,597,602,611,620,632,640,647,656,662,677,678,690,699,709,718,727,734,740,748,755,768,778,781,793,802,812,817,824,835,842,851,863,866,875,887,895,906,909,919,930,934,950,953,964,970,981,986,996,1006,1013,1025,1034,1036,1050,1060,1067,1077,1079,1092,1101,1105,1117,1123,1135,1139,1154,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,26,38,47,57,64,76,77,85,102,109,113,120,135,139,147,156,168,171,317,322,328,342,348,353,368,373,383,387,400,408,420,429,430,443,596,607,615,626,627,642,644,660,661,672,684,688,702,711,713,728,729,738,747,759,771,775,781,793,800,807,815,826,834,843,852,858,869,876,886,894,900,915,921,927,937,950,952,963,976,984,990,996,1007,1015,1026,1030,1039,1053,1059,1064,1078,1084,1095,1102,1106,1116,1128,1133,1139,1150,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,26,36,45,58,63,68,84,90,94,107,117,120,135,137,153,158,167,171,314,320,327,338,348,353,363,374,384,393,398,405,416,422,430,442,597,607,610,618,631,640,650,655,663,672,682,689,699,704,714,726,732,743,750,760,768,772,788,789,798,809,815,831,839,842,854,861,873,879,888,898,900,916,920,928,938,944,959,966,968,983,991,1000,1004,1012,1021,1035,1038,1051,1060,1062,1074,1081,1095,1104,1109,1113,1124,1133,1145,1149,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,33,42,48,52,62,68,78,86,98,105,118,123,133,139,145,154,164,171,315,318,334,341,345,357,362,372,383,387,402,408,416,424,430,437,465,606,611,620,629,639,647,653,662,673,678,690,697,706,713,721,734,739,748,761,764,778,784,794,801,807,814,829,834,847,848,860,867,874,886,895,901,911,923,932,940,949,958,962,975,979,993,999,1006,1018,1024,1032,1044,1046,1059,1069,1075,1082,1091,1101,1111,1121,1128,1135,1139,1150,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,20,30,38,46,55,66,73,78,89,95,108,118,119,128,144,148,157,170,178,314,320,335,342,349,352,361,370,378,393,400,408,417,423,430,444,463,602,615,625,628,638,649,653,662,673,685,686,700,706,719,722,732,740,753,759,764,779,783,791,802,813,817,828,838,845,852,859,868,882,888,892,902,914,922,933,935,944,955,962,976,979,990,998,1007,1011,1025,1034,1044,1050,1057,1066,1076,1081,1093,1097,1113,1116,1122,1134,1142,1150,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,34,41,49,58,60,68,81,93,95,102,113,119,136,137,147,161,166,175,316,323,331,336,351,358,361,373,385,388,401,409,412,426,437,439,598,608,610,620,634,637,651,656,661,670,685,692,701,710,719,725,731,742,747,758,764,772,788,792,799,810,819,826,834,846,857,862,866,880,889,891,902,916,919,932,938,949,952,965,968,980,989,996,1005,1011,1024,1029,1042,1052,1057,1065,1072,1082,1087,1100,1108,1121,1126,1134,1144,1152,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,20,27,41,47,56,67,71,81,85,99,110,114,120,129,139,148,154,169,177,315,319,333,341,347,353,369,376,384,388,398,408,416,423,437,438,596,606,612,619,630,639,649,652,664,673,679,693,703,706,718,722,736,743,752,761,766,774,785,791,803,811,815,829,837,842,856,865,867,879,882,895,903,910,918,932,938,950,956,965,969,976,988,993,1003,1013,1027,1035,1042,1045,1054,1067,1072,1082,1089,1097,1105,1119,1123,1137,1139,1147,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,33,40,51,59,64,69,78,86,102,106,111,125,130,144,153,157,166,173,314,322,329,342,351,358,368,372,381,392,395,406,412,421,437,439,596,609,615,623,627,641,646,654,665,671,679,687,699,708,713,720,735,743,751,761,767,778,785,794,801,812,822,826,836,846,854,862,870,876,886,891,905,909,920,932,935,944,954,963,974,984,991,1001,1005,1017,1026,1030,1038,1047,1059,1062,1077,1083,1087,1103,1106,1120,1127,1134,1146,1153,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,26,40,45,52,65,75,84,87,100,108,118,121,134,144,151,161,163,171,314,322,327,336,350,354,362,373,385,392,397,407,412,426,429,441,457,606,613,624,631,637,647,659,665,677,679,691,695,703,718,720,732,742,750,761,764,778,784,791,798,814,820,831,832,847,853,862,867,878,890,891,905,914,925,926,937,946,955,967,968,982,990,999,1005,1015,1026,1028,1038,1049,1060,1068,1078,1079,1088,1096,1106,1119,1129,1136,1143,1154,1164,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,31,40,48,51,61,76,81,88,98,106,115,125,128,143,150,161,167,171,317,325,333,338,352,358,368,376,379,389,400,405,417,422,429,440,597,605,611,619,629,641,650,659,662,670,683,687,696,707,716,728,732,741,750,761,771,773,785,789,802,811,816,825,833,843,855,863,867,874,889,898,900,914,920,929,934,945,959,966,969,979,990,1001,1009,1012,1027,1034,1039,1045,1055,1063,1072,1080,1088,1098,1106,1116,1127,1131,1141,1149,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,33,40,43,53,64,69,83,92,95,106,111,124,129,141,146,155,169,176,313,320,335,343,347,355,364,376,378,387,402,409,414,426,432,442,600,605,611,625,627,639,648,660,667,674,685,691,701,706,716,724,736,740,749,758,763,774,781,793,805,811,821,826,834,848,856,858,869,876,886,892,901,916,917,932,940,949,956,967,974,980,993,995,1007,1016,1019,1034,1044,1045,1054,1062,1077,1079,1088,1102,1112,1117,1122,1132,1147,1155,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,32,40,48,57,62,76,80,92,96,110,118,126,133,141,149,158,165,175,314,319,328,343,345,355,369,377,381,393,400,409,415,421,431,438,449,607,617,626,628,641,651,653,666,673,685,692,696,710,712,727,734,745,747,755,763,780,783,793,802,810,816,829,836,843,856,862,866,882,888,895,905,915,924,932,940,948,953,962,973,980,985,997,1006,1013,1026,1029,1039,1052,1057,1066,1076,1083,1088,1098,1106,1117,1126,1138,1139,1152,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,18,26,40,49,51,68,74,78,92,95,103,113,121,132,137,149,161,168,171,316,321,328,337,347,352,362,370,380,387,398,405,418,425,432,442,462,605,611,618,631,639,644,660,661,676,684,689,701,707,718,727,736,745,751,762,766,778,788,792,801,811,816,829,839,843,854,864,869,878,891,896,904,909,924,929,936,947,953,960,969,981,991,994,1002,1016,1024,1030,1041,1046,1059,1065,1074,1080,1091,1102,1112,1113,1123,1137,1146,1148,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,33,42,43,52,65,73,77,85,96,108,113,121,134,141,148,157,168,171,316,321,331,337,344,356,366,375,386,389,398,408,413,426,430,445,455,602,614,621,633,640,645,656,660,669,683,688,696,703,715,721,731,743,747,757,767,778,785,789,798,810,822,823,833,845,853,858,869,878,889,892,905,911,924,931,940,949,951,968,969,979,991,995,1009,1014,1025,1033,1040,1050,1060,1068,1078,1083,1095,1096,1110,1113,1129,1131,1143,1154,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,30,39,45,51,62,75,85,90,96,106,112,125,130,142,148,160,162,175,317,318,333,340,350,358,363,374,378,392,400,410,417,423,437,443,596,608,609,622,631,637,647,653,662,676,679,686,697,709,714,728,732,743,752,756,771,774,781,795,799,814,822,825,835,840,857,859,866,879,884,895,901,912,920,925,937,943,957,959,974,982,989,1000,1009,1019,1022,1030,1037,1052,1058,1063,1075,1079,1088,1096,1111,1113,1130,1135,1143,1153,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,27,41,44,53,66,75,82,86,94,107,115,122,134,142,151,160,163,171,313,326,334,341,346,356,364,371,382,387,397,410,420,424,437,440,600,604,609,625,632,637,649,653,665,676,683,692,703,709,717,726,737,739,748,760,767,779,780,792,801,813,822,826,831,844,854,860,867,878,885,891,902,914,918,932,934,946,954,965,975,983,990,996,1010,1017,1021,1031,1041,1048,1059,1066,1078,1084,1090,1103,1106,1113,1126,1132,1146,1149,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,27,41,50,53,65,70,83,89,101,102,112,121,131,143,150,159,163,173,180,323,328,335,351,353,361,375,385,388,398,409,414,422,431,443,596,606,612,620,628,635,649,657,668,673,685,689,695,706,719,724,729,737,746,759,766,772,781,794,797,810,816,826,833,840,855,859,873,880,888,899,902,910,918,926,941,947,951,967,974,979,990,995,1004,1015,1019,1028,1038,1046,1056,1062,1075,1086,1093,1099,1105,1115,1124,1138,1145,1149,1162,1166	1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,20,30,41,45,54,64,69,80,92,97,106,115,120,135,138,149,158,164,176,180,320,332,337,351,353,368,371,385,394,398,409,416,422,429,445,447,602,612,619,630,642,645,660,663,670,679,690,700,705,719,727,729,745,751,756,765,772,783,795,804,809,820,825,832,841,854,863,873,877,882,893,901,908,922,927,938,950,951,962,973,984,989,994,1002,1014,1021,1028,1043,1046,1061,1065,1075,1079,1094,1096,1107,1120,1128,1135,1141,1155,1163,1170	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,15,21,32,41,50,54,62,68,83,92,95,108,111,123,131,140,147,155,164,174,180,324,330,337,347,360,361,374,384,391,399,406,418,427,436,445,460,602,609,619,631,636,648,656,663,676,682,686,696,709,718,727,734,744,749,756,765,772,787,790,804,810,814,824,838,841,854,860,866,876,889,891,902,914,925,927,937,946,957,960,973,980,989,999,1003,1015,1020,1030,1040,1050,1059,1065,1075,1079,1093,1101,1109,1116,1125,1135,1143,1154,1159,1172,1175	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,19,30,36,48,56,67,70,80,93,95,105,117,121,132,137,148,161,164,171,188,319,327,337,343,356,361,370,379,393,399,412,415,425,431,442,451,601,609,624,630,640,649,659,665,673,683,686,700,705,718,722,736,744,749,757,769,772,783,789,804,813,816,824,836,845,856,864,869,874,884,898,904,909,918,928,937,948,954,961,970,984,988,1001,1007,1018,1023,1036,1038,1053,1056,1069,1079,1085,1096,1104,1108,1114,1129,1133,1140,1150,1159,1169,1173	1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,21,31,37,47,57,62,70,81,86,102,105,118,122,135,138,146,158,169,174,184,322,333,342,347,358,368,372,379,394,403,409,415,424,429,445,456,604,616,618,628,635,651,657,668,673,679,694,702,705,712,724,735,737,749,758,769,778,788,790,801,812,817,827,832,842,850,860,869,877,885,898,908,915,922,931,941,948,951,959,969,981,986,999,1008,1016,1022,1034,1042,1052,1058,1062,1077,1081,1089,1098,1105,1118,1123,1135,1141,1155,1158,1172	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
5,13,17,31,36,45,57,61,68,82,93,101,103,118,126,131,139,149,156,163,178,182,321,331,342,348,356,364,372,384,393,400,411,416,428,433,441,450,608,616,622,628,643,650,660,661,674,678,693,697,704,712,727,733,744,753,756,767,778,786,792,799,809,820,824,836,844,852,858,868,876,887,892,907,910,920,933,936,949,959,963,972,983,991,997,1008,1014,1027,1030,1042,1051,1053,1065,1070,1084,1096,1100,1112,1119,1127,1134,1143,1152,1158,1171	1,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0
4,15,21,27,34,46,52,61,69,82,90,94,110,118,125,134,141,151,160,166,177,181,322,327,336,348,355,361,372,382,391,395,409,412,425,437,443,448,607,617,623,628,639,648,652,661,675,681,689,701,708,719,725,735,743,753,761,771,779,788,797,802,808,820,829,833,841,854,860,871,882,883,893,900,911,918,925,934,948,951,964,973,985,989,998,1003,1017,1022,1035,1042,1050,1058,1067,1075,1080,1088,1096,1111,1119,1125,1137,1141,1149,1161,1167,1178	1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,33,40,50,55,61,76,77,93,96,110,112,121,132,141,150,159,166,172,180,318,331,340,347,353,361,373,381,387,398,407,419,427,433,439,449,603,617,621,630,635,649,654,668,671,679,688,697,707,716,724,737,740,754,755,764,778,785,792,803,808,822,825,838,846,848,863,870,876,888,898,901,912,917,930,941,949,952,960,975,983,987,999,1002,1014,1027,1029,1037,1048,1053,1065,1072,1081,1095,1100,1113,1114,1129,1138,1141,1153,1157,1171,1175	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,21,26,41,43,57,62,71,82,88,94,108,116,125,132,144,153,155,168,174,315,321,328,343,346,353,364,373,382,388,400,406,415,423,430,442,596,605,615,619,629,640,645,658,666,676,685,692,699,706,714,726,731,744,752,756,770,779,780,790,797,810,822,825,834,844,855,860,865,880,889,896,906,913,923,928,941,942,959,964,976,984,990,998,1005,1014,1020,1031,1042,1050,1056,1062,1077,1086,1093,1097,1107,1116,1126,1135,1139,1155,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,28,42,45,59,60,74,77,90,98,109,117,122,130,143,149,153,168,177,179,320,334,336,346,356,365,371,385,386,402,410,416,421,437,444,597,608,611,623,629,638,644,652,668,677,680,688,697,704,716,724,733,741,752,758,766,779,786,794,801,812,816,823,839,844,851,865,872,875,884,896,907,908,922,932,939,944,954,966,975,981,988,993,1005,1012,1027,1028,1037,1051,1061,1066,1073,1082,1090,1100,1105,1116,1129,1131,1139,1147,1157,1166	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
7,13,21,31,36,43,55,60,70,81,86,97,110,112,122,130,138,151,156,168,173,183,322,329,341,344,354,366,373,379,390,398,406,416,428,430,443,468,603,617,620,633,636,647,660,662,675,683,692,702,707,719,726,735,738,748,756,767,772,784,794,800,813,817,828,839,846,850,860,866,882,886,895,908,911,918,930,940,948,954,960,969,978,986,1000,1003,1013,1020,1035,1040,1051,1056,1064,1071,1085,1087,1102,1109,1117,1123,1133,1142,1148,1160,1167,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,10,20,26,36,48,55,68,71,78,88,98,110,112,127,133,139,145,156,163,175,184,326,328,343,346,357,365,371,386,390,396,405,420,426,437,441,597,604,611,619,633,641,646,659,666,671,682,693,697,704,713,722,730,743,746,756,769,778,780,794,801,807,815,823,835,846,853,858,873,877,888,893,900,910,919,925,939,943,957,964,968,979,989,996,1002,1011,1023,1030,1041,1049,1053,1066,1072,1086,1091,1099,1113,1116,1129,1135,1140,1149,1161,1171,1173	0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,10,20,29,36,48,59,63,75,78,89,95,105,118,122,133,141,153,159,168,172,182,325,328,336,351,355,368,373,382,392,397,405,418,427,436,443,596,602,611,624,634,641,650,658,664,673,684,687,699,710,716,724,733,739,749,759,770,773,782,794,797,808,818,829,837,846,852,860,871,878,882,896,906,913,920,929,940,946,953,960,974,982,990,994,1009,1012,1027,1035,1041,1047,1057,1065,1073,1084,1089,1097,1107,1114,1127,1135,1142,1152,1158,1172,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,16,24,30,40,48,57,67,75,78,92,100,103,114,123,136,141,152,160,170,178,181,321,330,337,348,359,367,372,385,393,402,404,418,428,434,442,597,606,611,621,634,637,648,659,662,673,680,688,702,711,712,727,734,742,754,761,770,774,788,796,802,813,818,830,837,845,850,864,870,878,888,894,906,916,923,932,938,950,953,964,975,982,987,997,1004,1014,1020,1028,1044,1052,1057,1063,1078,1085,1093,1104,1108,1113,1128,1134,1139,1154,1157,1165,1173	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,9,21,34,36,51,52,67,76,84,93,97,108,115,123,134,137,151,161,162,175,190,320,330,341,347,359,369,377,383,394,395,410,419,424,429,440,453,602,610,623,634,640,647,656,664,669,682,693,698,708,718,725,732,745,748,757,771,778,780,789,801,813,815,823,835,841,852,859,868,880,890,896,905,913,921,929,936,943,956,959,968,977,988,999,1007,1019,1026,1030,1039,1046,1059,1062,1076,1085,1091,1098,1109,1114,1129,1132,1144,1150,1157,1172,1177	1,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,27,35,50,51,64,69,78,85,98,110,112,122,132,144,145,155,167,176,316,322,330,341,350,360,369,370,379,391,401,405,419,423,435,440,597,606,615,624,632,643,646,659,663,674,679,690,697,711,714,727,731,738,750,757,767,779,780,788,802,808,815,831,834,841,850,857,867,880,887,893,902,916,921,929,936,946,957,960,974,979,987,997,1010,1017,1022,1036,1039,1051,1058,1070,1071,1086,1095,1099,1113,1118,1124,1136,1144,1147,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,25,27,41,44,56,65,69,84,89,97,104,112,125,128,138,148,156,168,172,315,321,332,342,352,359,368,373,384,388,396,405,419,427,432,445,470,605,616,626,632,636,651,656,660,677,681,689,698,703,714,720,733,739,752,759,769,772,787,789,804,812,820,828,832,842,854,857,868,879,888,891,908,909,921,927,936,942,953,964,974,981,989,994,1003,1011,1026,1035,1039,1050,1059,1065,1077,1084,1092,1097,1107,1120,1130,1132,1140,1153,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,23,27,34,42,57,66,74,81,88,97,104,118,120,132,141,151,159,162,174,317,324,333,336,351,358,361,376,383,394,396,407,413,424,429,445,598,605,613,625,629,636,652,658,664,674,686,690,700,704,716,723,731,739,747,762,768,774,785,796,799,812,816,830,833,842,849,864,873,879,883,891,901,910,923,930,942,943,951,967,970,979,990,998,1004,1018,1021,1031,1043,1052,1055,1063,1078,1086,1094,1104,1107,1114,1125,1131,1143,1149,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,27,41,45,58,65,69,78,89,96,103,111,123,131,137,148,158,168,175,315,318,329,339,351,353,361,372,379,388,395,407,420,423,435,439,598,604,614,620,632,640,646,655,668,674,679,688,697,706,714,725,732,745,747,757,765,775,780,789,799,805,819,830,834,844,848,862,871,876,882,893,900,913,919,931,935,950,956,966,973,977,991,994,1008,1013,1022,1034,1040,1045,1055,1066,1071,1086,1094,1096,1110,1118,1124,1135,1142,1149,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,30,42,43,58,64,73,82,86,98,106,117,125,135,137,145,157,164,172,316,320,327,337,347,358,361,377,383,392,396,411,412,428,435,444,447,604,616,621,626,641,649,653,661,675,684,694,695,705,713,727,732,739,748,757,766,777,781,795,801,811,817,829,834,847,856,864,869,876,889,892,905,909,918,932,936,945,952,961,972,979,988,1001,1005,1017,1019,1029,1044,1049,1055,1069,1076,1080,1092,1102,1109,1116,1123,1137,1143,1151,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,22,33,35,46,59,68,69,81,91,101,106,111,127,129,139,152,158,162,176,316,321,331,343,351,352,362,373,378,394,395,410,416,428,433,445,599,601,611,619,632,642,648,653,668,669,680,691,694,708,719,722,732,744,753,758,769,773,780,795,803,809,819,825,838,842,849,857,869,882,890,893,906,912,918,928,935,944,956,960,973,984,990,1001,1003,1019,1021,1036,1041,1050,1060,1067,1075,1083,1092,1099,1105,1117,1127,1130,1139,1155,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,23,28,34,49,55,61,73,83,87,100,108,119,121,129,144,151,154,169,171,314,323,332,342,347,359,364,372,381,394,399,411,415,425,433,439,465,602,615,619,628,638,648,652,663,670,685,686,696,703,712,726,736,739,752,759,766,772,781,790,805,810,819,825,839,847,851,862,866,878,887,896,900,915,924,927,939,945,957,967,972,984,993,997,1002,1011,1027,1029,1039,1051,1061,1069,1072,1083,1088,1103,1107,1121,1123,1134,1145,1150,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,33,40,43,54,60,73,85,89,94,103,112,125,130,142,147,162,167,176,313,320,328,341,350,355,361,374,380,390,396,404,415,427,434,445,598,604,609,624,633,643,647,658,661,671,682,688,696,704,713,724,729,743,749,762,764,775,787,793,797,814,819,824,839,842,850,861,871,874,883,898,908,913,919,930,940,943,954,963,976,982,985,1000,1006,1015,1026,1035,1042,1052,1056,1066,1074,1086,1095,1097,1107,1117,1127,1136,1140,1153,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,29,39,47,57,63,72,84,91,96,106,114,121,128,144,147,161,168,171,183,323,330,342,350,359,365,370,382,390,399,410,412,427,431,437,468,608,615,621,629,640,646,658,668,677,685,689,696,708,714,723,729,745,747,760,767,777,781,792,804,809,816,827,831,843,850,864,869,878,886,899,904,916,923,930,934,949,955,967,973,976,990,995,1009,1015,1022,1034,1038,1047,1059,1070,1071,1084,1092,1097,1106,1120,1124,1135,1147,1149,1163,1164	0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,22,26,34,50,55,62,73,78,93,98,105,115,126,135,142,152,157,169,171,314,319,327,341,348,356,363,370,383,388,399,410,412,425,437,442,600,607,612,625,628,640,650,652,669,670,679,687,699,709,718,728,734,744,753,757,763,776,781,796,804,808,819,826,835,842,849,863,867,876,890,895,900,914,919,929,942,945,956,966,973,980,990,998,1002,1013,1024,1028,1040,1052,1055,1065,1073,1080,1094,1097,1111,1116,1124,1137,1145,1151,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,26,36,48,58,62,68,77,92,94,103,114,123,132,136,146,157,170,174,313,324,326,339,345,359,362,377,378,394,395,407,415,427,437,441,597,604,613,623,631,639,644,654,661,672,677,694,695,706,716,721,734,743,747,762,768,775,784,796,799,807,820,828,836,847,854,863,871,877,884,895,904,912,922,929,935,948,952,962,973,982,992,993,1003,1015,1021,1029,1044,1048,1058,1067,1074,1083,1092,1100,1105,1115,1130,1137,1139,1151,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,25,26,36,43,57,63,69,85,90,101,109,115,124,133,143,147,160,168,172,315,321,329,337,351,357,363,372,382,387,395,408,413,423,437,441,598,606,612,620,627,643,651,653,661,677,682,691,695,703,713,721,730,742,753,761,770,776,787,788,798,812,815,823,838,847,856,860,866,878,889,896,901,912,919,929,937,943,959,964,968,984,993,998,1002,1019,1020,1030,1041,1049,1060,1063,1072,1084,1094,1098,1109,1117,1122,1133,1139,1152,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,29,35,48,57,62,70,85,93,94,108,112,123,135,144,150,153,164,176,315,319,330,338,343,352,366,376,383,393,403,409,416,426,436,442,600,605,615,624,630,637,649,655,666,672,678,691,702,706,716,728,730,738,753,759,764,775,782,795,802,809,818,830,832,844,856,863,867,882,889,898,900,912,922,931,939,949,953,962,975,981,986,997,1005,1015,1020,1036,1038,1049,1058,1070,1074,1079,1096,1101,1113,1120,1127,1136,1140,1151,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,26,36,44,54,64,74,84,90,94,105,114,122,130,142,147,161,166,177,180,320,330,343,349,358,364,376,385,390,395,409,415,425,431,439,597,605,612,619,633,642,648,654,668,670,679,686,697,709,719,722,732,741,752,759,764,777,787,789,805,809,821,828,838,844,849,860,865,876,884,894,908,916,917,928,936,949,954,960,970,976,993,999,1010,1014,1022,1030,1044,1048,1060,1068,1076,1087,1093,1102,1109,1120,1125,1136,1142,1147,1157,1165,1177	0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
4,10,18,29,35,50,58,64,74,84,90,95,105,114,124,128,137,145,160,164,175,316,320,333,342,347,354,366,372,378,391,401,405,414,426,434,444,600,603,614,623,634,635,648,660,667,670,682,689,696,705,715,721,729,744,749,757,764,772,782,790,800,812,822,828,832,845,853,857,869,876,884,893,902,913,918,932,941,948,951,963,974,981,987,996,1009,1014,1020,1032,1044,1050,1059,1062,1074,1084,1089,1099,1105,1121,1123,1136,1147,1153,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,27,37,45,56,63,71,80,90,96,105,111,120,129,140,150,156,162,178,317,324,333,340,348,359,364,370,382,386,400,406,415,428,433,440,600,608,611,625,633,638,645,659,662,671,681,688,696,705,715,724,737,738,747,760,768,779,788,793,805,810,818,830,836,846,850,861,873,880,889,898,900,915,925,929,938,945,952,967,975,979,987,1001,1003,1017,1023,1029,1037,1051,1059,1065,1070,1081,1088,1100,1109,1117,1126,1137,1144,1154,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,23,26,39,48,56,67,73,77,91,93,107,111,119,128,139,151,158,170,176,316,326,330,341,344,353,365,371,382,388,401,404,415,425,429,441,597,608,611,624,634,636,651,655,667,675,678,694,696,710,715,727,737,742,747,759,770,780,781,791,797,810,816,824,833,847,855,862,869,875,886,896,900,911,921,932,941,942,954,959,969,984,989,1001,1005,1017,1022,1029,1043,1047,1055,1063,1071,1079,1095,1100,1107,1118,1125,1137,1139,1147,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,32,41,44,52,66,74,81,89,98,105,117,125,135,142,153,154,166,173,315,322,329,341,344,360,363,372,384,388,395,408,416,428,437,440,454,606,610,625,627,642,645,654,666,671,684,690,700,707,713,720,731,737,754,757,767,774,781,791,803,807,816,823,831,841,854,857,866,874,885,896,907,915,923,929,938,944,953,964,972,978,992,999,1002,1012,1026,1028,1039,1053,1055,1069,1078,1082,1088,1097,1112,1115,1128,1131,1146,1149,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,26,36,46,53,67,74,81,89,100,103,113,123,130,138,152,156,166,176,315,319,331,339,344,355,361,373,384,390,401,404,420,426,437,444,598,602,609,619,632,638,643,653,668,676,679,693,702,705,712,724,733,737,747,761,764,771,780,791,800,813,822,830,832,841,855,859,868,880,882,896,907,911,919,926,934,944,957,960,970,983,992,995,1005,1015,1026,1031,1040,1052,1054,1062,1078,1085,1094,1097,1111,1115,1127,1132,1141,1151,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,31,41,47,59,60,73,82,91,97,103,113,122,128,138,146,158,166,170,316,323,327,337,345,360,361,373,382,390,398,405,418,424,431,446,596,602,615,622,633,636,647,659,668,669,679,691,699,711,716,725,736,744,753,756,767,775,788,790,803,806,816,823,835,846,855,860,866,882,888,896,902,913,921,929,938,944,953,965,970,977,992,997,1005,1017,1020,1033,1038,1047,1055,1066,1071,1085,1095,1104,1106,1119,1123,1134,1143,1154,1163,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,33,36,45,54,61,70,77,91,102,106,115,121,133,136,150,155,166,177,315,320,332,336,350,358,368,374,384,393,396,407,420,428,437,440,600,607,614,618,634,641,649,657,662,677,680,690,695,711,714,726,735,738,749,761,768,773,786,788,804,811,821,823,836,843,851,865,870,881,887,891,904,911,925,926,940,942,951,966,972,983,991,996,1009,1011,1027,1036,1040,1045,1061,1065,1076,1083,1091,1102,1110,1113,1126,1138,1144,1155,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,33,39,48,53,64,74,83,93,99,106,111,127,131,139,151,156,166,176,313,324,333,340,348,354,366,376,381,390,402,403,414,423,435,438,459,601,609,622,632,640,647,652,663,677,678,692,697,709,713,728,737,745,751,761,769,779,786,797,803,810,816,829,838,844,852,861,872,876,884,894,906,916,921,928,940,947,951,962,972,979,993,994,1008,1012,1023,1028,1039,1049,1060,1065,1077,1080,1088,1104,1109,1114,1122,1135,1144,1147,1163,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,19,29,36,43,56,66,73,78,87,102,106,111,122,131,141,150,161,167,172,317,324,328,336,345,357,365,372,380,390,402,404,419,428,433,444,460,605,614,623,628,639,651,660,669,674,683,688,700,710,718,726,731,740,750,756,767,771,785,796,805,808,821,824,837,841,853,860,872,881,888,893,904,908,921,928,937,945,955,967,969,979,989,1000,1005,1014,1020,1036,1044,1045,1057,1064,1076,1084,1091,1102,1112,1121,1130,1136,1146,1154,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,31,42,48,59,64,73,83,93,95,102,118,121,128,141,147,158,169,174,316,322,329,342,352,359,368,377,381,386,398,406,412,421,433,443,467,602,617,622,629,638,644,660,668,676,686,693,696,709,716,723,732,745,751,755,767,776,783,794,805,806,822,825,837,847,855,859,866,876,884,899,906,914,917,929,940,948,957,962,972,978,985,1001,1006,1014,1026,1028,1039,1049,1060,1062,1075,1087,1088,1103,1105,1115,1126,1133,1140,1154,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,21,33,40,48,52,62,71,83,86,96,104,117,127,129,137,146,153,165,178,314,326,332,343,350,356,362,376,378,392,399,404,416,427,431,438,450,603,612,618,627,636,646,657,665,673,679,693,697,708,718,723,735,742,750,761,769,775,784,791,798,809,816,830,836,847,854,860,869,881,886,895,904,911,917,933,936,949,952,964,973,985,988,1002,1006,1013,1025,1034,1038,1052,1054,1063,1071,1081,1094,1100,1112,1116,1124,1135,1140,1154,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,25,33,39,46,57,62,68,80,90,101,102,116,124,133,141,147,161,167,178,313,319,335,339,344,356,367,376,382,387,401,408,412,421,435,444,465,603,617,625,633,639,645,653,666,674,683,692,702,706,715,726,737,742,751,760,769,780,782,791,804,812,820,826,834,841,854,863,872,879,883,891,907,908,924,926,940,950,953,959,973,983,989,995,1003,1011,1025,1029,1044,1050,1058,1070,1076,1084,1094,1100,1110,1116,1127,1137,1147,1154,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,32,38,47,56,62,76,82,93,100,104,112,123,134,137,149,158,164,177,184,323,330,340,348,360,365,371,382,392,398,410,419,427,434,438,596,605,616,621,626,640,651,655,664,671,686,690,702,703,713,721,729,739,746,759,767,772,780,790,802,807,816,825,835,841,849,858,865,882,890,898,901,912,917,931,938,942,954,962,968,979,985,999,1004,1018,1024,1029,1036,1048,1054,1068,1075,1087,1089,1097,1112,1118,1127,1137,1145,1152,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,22,31,34,47,51,64,68,81,91,97,110,118,127,135,137,146,161,169,179,192,324,327,343,344,355,368,372,383,388,401,405,418,427,435,441,598,601,615,623,630,642,645,656,663,671,678,693,695,706,713,726,733,737,750,758,764,772,788,797,804,812,821,829,832,847,851,864,868,875,885,892,905,910,921,925,934,950,955,964,975,984,986,997,1010,1018,1027,1034,1040,1049,1054,1066,1073,1086,1090,1096,1107,1115,1128,1137,1144,1150,1160,1164,1176	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,16,18,29,35,51,59,62,74,82,91,98,109,113,126,132,140,148,160,170,173,189,325,333,341,349,359,363,373,381,391,397,404,413,422,429,444,457,604,609,621,629,635,645,654,663,670,679,690,698,707,716,724,735,741,751,757,767,775,788,793,803,808,817,827,835,847,855,859,869,879,885,893,904,915,924,929,934,944,959,964,976,977,988,997,1008,1017,1026,1028,1039,1051,1054,1068,1073,1083,1092,1103,1104,1116,1124,1135,1140,1148,1164,1170	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
1,15,24,31,40,50,56,64,70,79,88,100,103,115,119,134,141,146,160,165,175,181,325,327,342,347,360,368,373,384,389,397,408,416,429,430,444,597,602,615,623,630,637,645,655,663,673,684,692,703,709,712,723,731,737,748,762,763,776,780,796,801,808,821,831,839,843,849,857,867,877,884,891,903,910,918,931,934,950,955,965,975,980,989,998,1004,1018,1019,1030,1037,1050,1055,1063,1074,1083,1091,1102,1107,1120,1124,1136,1143,1153,1162,1165,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,18,31,36,47,58,62,73,80,91,99,103,113,124,135,137,149,157,167,175,315,326,333,339,351,355,363,375,379,387,402,406,418,428,432,442,596,602,614,619,627,642,643,657,667,670,677,690,702,710,719,728,732,746,751,762,766,774,783,795,798,809,816,831,837,845,851,858,873,876,886,897,899,912,924,930,940,947,959,967,972,984,992,999,1008,1014,1024,1031,1037,1046,1059,1067,1072,1080,1091,1102,1110,1121,1127,1135,1143,1147,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,19,33,35,49,56,63,71,82,91,100,106,113,121,134,143,151,160,167,177,182,319,334,338,345,360,368,376,378,391,399,406,412,426,436,440,599,604,610,621,626,639,651,660,661,677,683,687,697,703,716,728,733,743,746,762,769,775,787,790,800,811,818,830,838,841,855,861,870,879,886,894,903,913,922,926,934,944,959,966,975,980,986,994,1003,1017,1026,1035,1041,1052,1058,1063,1078,1086,1091,1096,1107,1116,1125,1138,1141,1154,1156,1165	0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,22,25,41,43,54,66,70,78,91,97,105,114,125,129,137,149,160,169,175,181,319,332,341,352,355,361,370,382,394,399,404,412,424,432,444,451,607,615,620,630,637,646,656,660,677,682,692,695,704,714,726,733,738,746,757,769,775,787,793,805,809,817,825,832,848,856,860,873,881,888,894,903,916,924,926,937,943,957,967,974,983,993,998,1006,1017,1024,1032,1037,1051,1056,1065,1077,1085,1091,1097,1112,1121,1130,1135,1139,1152,1159,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,10,24,26,38,43,54,60,71,77,93,95,104,111,120,131,141,148,161,163,177,183,322,333,338,344,354,364,376,383,391,397,409,413,428,432,445,599,604,617,621,633,635,650,660,664,675,678,687,701,711,719,728,736,741,749,760,766,772,786,791,800,813,820,825,834,842,853,862,873,874,884,893,904,916,920,930,938,944,955,968,972,978,989,999,1006,1015,1026,1029,1043,1053,1056,1069,1071,1085,1087,1099,1112,1120,1124,1135,1143,1153,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,17,29,39,46,55,67,72,84,93,95,103,115,122,130,144,146,156,165,172,313,326,335,342,349,359,366,376,380,392,401,406,412,428,436,444,467,601,617,618,631,643,650,653,668,673,681,691,697,710,717,725,734,743,754,756,763,777,786,795,798,812,821,827,836,844,852,864,871,878,883,895,906,913,917,930,934,946,952,961,976,979,986,1000,1003,1018,1024,1031,1043,1053,1054,1063,1073,1086,1092,1099,1106,1118,1129,1132,1143,1153,1160,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,30,37,44,54,60,70,78,92,94,108,112,124,136,143,151,160,165,178,180,324,327,342,345,356,368,375,383,391,402,404,415,424,433,443,596,603,611,620,628,642,650,660,663,676,678,693,695,711,714,727,733,739,750,757,770,773,788,791,804,807,819,830,831,847,855,860,866,877,889,895,904,911,925,932,939,944,956,967,974,981,985,994,1002,1018,1023,1033,1044,1053,1055,1070,1073,1082,1090,1100,1108,1115,1128,1135,1147,1154,1161,1166,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,20,30,36,45,52,61,68,78,93,100,108,112,121,129,139,150,156,169,176,201,320,332,341,344,357,364,376,383,389,401,409,415,422,432,444,600,603,617,618,634,641,650,653,667,677,685,689,696,711,712,722,731,744,748,762,770,778,787,791,800,806,815,830,834,843,856,862,870,881,882,899,906,912,923,927,941,947,955,963,968,983,986,994,1009,1011,1020,1033,1043,1047,1056,1064,1077,1081,1091,1100,1113,1117,1129,1135,1144,1153,1160,1172,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,24,26,35,50,57,66,76,84,85,99,106,117,121,129,143,146,161,165,178,181,318,331,342,352,356,362,375,385,391,398,409,413,422,434,438,599,602,614,618,634,636,651,659,665,675,684,689,698,708,712,724,732,739,749,762,771,777,785,796,803,806,815,830,834,846,853,863,866,880,884,896,908,914,917,933,935,942,953,963,971,978,990,999,1007,1019,1026,1032,1041,1052,1061,1064,1074,1082,1088,1100,1108,1118,1124,1138,1141,1152,1158,1166	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,9,22,29,42,43,56,60,74,80,89,96,108,116,123,129,144,150,156,162,171,180,319,326,337,352,353,364,372,386,392,398,405,416,427,433,443,596,604,611,624,633,643,645,658,668,677,678,692,699,709,716,722,733,738,752,761,770,774,780,792,801,808,816,826,833,848,849,863,871,881,884,896,901,913,922,931,940,950,951,966,969,983,993,997,1005,1013,1023,1033,1041,1045,1056,1070,1079,1082,1092,1098,1107,1120,1128,1135,1145,1151,1160,1173	1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,18,31,42,43,52,68,69,78,89,101,105,113,123,131,139,151,157,170,174,182,324,330,336,345,358,366,371,379,391,400,410,414,425,434,445,597,607,609,626,634,640,651,656,668,669,680,692,696,708,712,727,734,745,753,761,768,772,785,791,803,807,822,825,837,847,854,863,870,877,885,896,900,911,923,933,934,947,959,967,969,984,986,996,1009,1018,1027,1035,1037,1049,1056,1065,1075,1082,1092,1104,1105,1117,1126,1133,1145,1154,1156,1172,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,11,18,30,34,45,58,64,76,80,90,100,104,117,119,130,144,148,159,166,175,198,321,329,340,351,357,363,374,384,386,395,405,413,423,430,442,597,607,612,624,630,638,649,653,667,672,681,690,700,711,716,726,732,740,749,756,765,778,780,797,798,811,814,831,839,845,857,864,872,877,883,891,903,912,923,931,939,946,951,967,968,979,987,998,1009,1018,1022,1028,1041,1047,1060,1065,1071,1079,1088,1100,1104,1119,1126,1134,1139,1155,1157,1169	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,24,32,42,49,56,65,71,81,89,97,104,118,119,131,143,148,157,167,173,317,324,331,340,347,358,366,374,383,386,399,410,418,425,431,445,600,601,611,623,627,637,650,659,666,677,679,691,699,708,713,720,734,738,750,758,764,774,781,795,802,812,821,823,839,847,848,864,866,880,883,895,905,911,923,928,939,949,953,961,973,981,993,994,1006,1017,1019,1033,1037,1045,1057,1070,1076,1086,1089,1103,1110,1117,1129,1131,1145,1147,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,25,34,49,51,62,71,80,91,96,110,114,122,128,145,152,161,168,176,315,324,329,336,345,359,368,377,382,387,396,409,414,423,429,441,596,602,610,621,633,635,648,652,662,673,678,693,697,709,717,725,733,745,751,755,766,778,787,797,803,810,817,829,836,846,849,858,866,874,890,893,901,912,919,933,937,948,951,962,974,980,985,1002,1005,1013,1024,1028,1036,1049,1061,1065,1074,1086,1094,1099,1110,1121,1124,1133,1140,1150,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,27,39,50,51,60,74,83,92,95,104,113,119,131,140,149,154,169,176,316,323,332,337,349,352,362,374,385,391,402,408,415,423,432,441,599,601,610,619,631,638,643,653,665,673,683,686,698,710,718,721,730,745,753,756,767,779,781,789,802,806,816,824,834,847,856,865,869,876,889,896,905,912,922,928,937,942,954,960,972,982,991,1001,1007,1019,1023,1031,1044,1049,1061,1062,1071,1084,1094,1099,1105,1118,1125,1130,1143,1149,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,22,28,38,48,52,62,68,83,93,101,104,114,122,135,142,149,160,165,175,313,323,331,341,345,356,361,373,383,390,396,405,415,427,435,444,597,603,611,620,627,639,647,653,664,674,684,688,701,709,716,720,735,740,750,757,768,771,781,791,801,811,821,828,834,842,853,863,866,880,887,898,901,916,920,930,940,947,952,967,969,979,992,1001,1005,1011,1019,1034,1044,1053,1057,1064,1078,1080,1088,1099,1106,1113,1129,1134,1146,1155,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,25,27,39,49,54,62,72,85,87,99,105,118,124,135,144,152,155,167,178,316,318,329,335,351,358,362,376,378,388,399,406,415,426,436,441,600,601,615,623,633,639,651,657,662,676,679,691,696,710,712,721,734,738,752,754,767,775,788,794,802,808,819,829,837,848,855,862,872,875,885,891,903,911,922,926,940,943,951,966,972,979,992,1001,1004,1018,1021,1032,1039,1047,1057,1063,1075,1083,1096,1102,1110,1118,1125,1133,1144,1148,1163,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,32,34,46,56,64,68,83,85,95,107,118,119,133,144,149,159,164,176,313,324,327,336,345,359,367,377,382,394,402,403,414,424,433,440,599,603,611,619,631,640,644,655,668,672,679,689,699,706,718,723,734,739,754,762,764,776,781,795,797,806,820,827,831,845,848,862,871,877,890,897,903,914,920,931,939,943,955,966,968,980,990,1002,1006,1016,1022,1035,1041,1045,1060,1066,1076,1079,1088,1104,1105,1118,1127,1131,1147,1150,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,31,41,48,51,63,73,81,93,99,103,112,127,134,142,151,161,162,177,314,321,330,339,346,354,365,374,383,388,401,409,419,421,435,445,454,601,610,622,626,637,643,653,668,669,685,687,695,711,717,721,736,741,749,762,764,780,788,793,804,811,814,823,836,848,854,863,866,877,888,895,903,913,925,929,940,942,956,962,968,983,990,1001,1004,1019,1025,1036,1039,1045,1058,1068,1072,1080,1095,1102,1109,1121,1127,1134,1141,1152,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,23,33,41,50,56,64,73,82,87,97,105,118,120,129,138,153,160,164,179,315,323,328,342,352,355,362,370,385,394,399,410,418,424,437,445,599,601,612,619,627,639,645,656,666,676,685,690,697,703,716,725,734,739,746,755,763,778,781,796,803,810,821,829,835,844,853,864,870,874,888,895,902,913,920,930,934,946,958,963,970,976,986,994,1002,1016,1023,1029,1041,1048,1055,1068,1072,1085,1095,1100,1106,1118,1128,1136,1142,1150,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,25,27,41,50,58,63,70,77,90,101,107,114,122,135,138,152,161,168,173,182,323,330,342,348,352,369,371,385,391,402,405,419,423,432,443,448,601,614,618,628,639,646,659,669,670,684,692,699,706,713,722,729,739,746,754,764,776,785,792,799,811,816,827,832,843,849,859,872,878,882,896,905,915,925,932,938,946,958,961,968,984,990,994,1005,1011,1022,1032,1040,1048,1059,1066,1077,1082,1094,1104,1113,1115,1123,1137,1143,1147,1157,1165,1177	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,27,35,46,54,64,72,79,92,95,104,111,126,130,138,152,155,170,174,318,323,326,341,344,356,363,377,385,388,401,409,415,423,430,442,598,609,617,620,631,635,644,658,664,675,678,689,700,703,716,723,733,738,750,761,764,773,787,793,803,808,821,828,835,840,853,860,874,880,883,898,904,910,920,926,942,948,956,960,976,982,990,1000,1005,1014,1024,1031,1043,1053,1061,1066,1073,1086,1093,1097,1111,1120,1124,1137,1139,1148,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,32,38,44,52,61,74,82,88,100,110,118,128,133,142,153,159,168,178,315,323,334,337,348,358,367,372,384,391,395,410,420,423,435,445,458,608,614,620,633,636,647,654,662,674,683,687,703,707,716,725,732,744,753,754,768,774,783,795,802,806,821,826,837,843,851,858,871,874,888,895,901,912,917,932,938,948,955,966,976,980,985,994,1005,1012,1020,1030,1036,1046,1055,1070,1074,1085,1090,1099,1111,1117,1129,1137,1142,1151,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,28,42,49,54,61,72,81,93,99,110,111,123,130,138,148,154,162,173,316,324,332,338,349,356,366,371,381,393,395,404,420,427,432,441,597,601,613,621,633,641,644,658,664,675,682,693,697,708,717,720,734,743,753,755,767,776,788,792,800,806,819,830,839,845,851,863,869,880,888,892,901,912,923,929,941,946,953,960,973,980,988,1001,1007,1011,1025,1028,1039,1045,1054,1068,1073,1082,1093,1098,1112,1113,1128,1136,1139,1150,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,22,26,40,46,58,65,70,78,92,98,106,112,124,131,144,152,157,169,175,313,325,330,341,348,355,368,370,381,388,402,405,417,422,435,442,596,606,611,625,626,635,651,655,667,675,680,693,697,709,716,721,729,739,751,759,763,774,781,792,800,809,818,824,836,846,852,857,871,878,882,899,900,909,920,930,935,946,959,963,976,980,989,998,1006,1018,1022,1028,1037,1047,1060,1065,1074,1085,1096,1098,1112,1116,1122,1132,1144,1152,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,25,41,48,52,61,73,79,90,98,102,118,127,130,141,148,160,169,178,189,319,326,338,350,357,366,376,383,392,401,409,414,425,437,439,600,608,617,625,630,639,649,660,668,672,681,693,700,710,719,724,735,745,751,761,767,780,783,796,803,813,816,823,835,842,850,862,873,878,887,893,905,916,918,931,938,946,953,961,973,977,989,1000,1010,1012,1022,1031,1044,1052,1053,1066,1076,1080,1090,1098,1105,1121,1128,1138,1145,1153,1163,1171	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,20,25,41,44,55,63,72,84,87,94,107,114,121,136,141,145,156,170,172,314,322,331,336,346,359,366,377,384,390,402,404,415,421,437,446,452,601,611,619,632,640,643,652,663,672,685,694,696,708,714,721,730,744,748,756,764,771,788,793,805,806,816,827,835,842,851,864,870,881,889,896,904,916,924,928,941,947,955,965,972,978,992,996,1003,1015,1019,1031,1043,1047,1055,1068,1079,1083,1094,1098,1109,1115,1125,1137,1141,1148,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,28,37,46,59,61,74,79,92,99,107,119,126,131,137,153,158,164,171,315,325,328,338,344,357,366,373,381,388,400,408,412,425,434,442,598,605,610,622,629,641,644,653,665,671,683,686,695,707,719,722,735,738,750,761,763,773,780,795,801,807,820,831,832,845,852,863,870,880,885,893,905,915,923,926,939,947,958,963,968,984,992,1000,1006,1018,1026,1034,1043,1049,1054,1067,1075,1079,1090,1101,1111,1117,1126,1135,1143,1150,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,26,41,44,53,61,76,84,91,96,108,111,126,135,143,148,155,166,174,314,321,333,343,345,354,366,370,378,393,399,411,413,425,436,441,596,603,616,624,634,640,645,658,668,672,683,691,698,706,719,724,734,739,751,758,767,775,782,791,804,806,815,829,832,843,856,863,871,875,888,894,902,914,922,929,940,945,953,962,970,982,990,993,1002,1016,1023,1035,1044,1047,1054,1062,1072,1081,1088,1101,1106,1119,1128,1138,1143,1154,1163,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,29,35,48,57,63,70,81,89,95,103,115,121,130,144,148,159,170,176,313,325,331,342,349,359,366,377,382,387,401,410,419,422,436,438,450,602,617,619,629,642,646,656,664,672,682,691,699,706,716,727,735,745,749,760,766,779,782,789,803,813,820,825,832,843,853,860,872,881,889,897,906,916,924,929,936,944,951,966,969,978,987,1001,1005,1011,1023,1028,1038,1045,1058,1067,1074,1085,1095,1102,1111,1113,1128,1138,1145,1147,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,31,40,46,53,66,69,77,91,97,110,119,122,136,141,146,156,169,177,318,320,329,341,348,359,364,369,381,394,396,407,419,423,435,439,597,605,612,619,630,636,648,658,668,671,678,692,696,706,718,722,731,743,751,759,763,774,782,796,798,809,818,828,837,844,851,864,872,875,886,894,908,910,923,925,939,947,952,968,973,978,990,997,1002,1013,1019,1029,1043,1050,1061,1066,1071,1079,1095,1100,1111,1113,1126,1130,1145,1148,1157,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,20,30,36,50,58,62,73,79,91,96,106,115,122,128,144,148,158,167,174,318,325,334,342,346,352,364,373,385,390,400,405,415,421,432,438,599,601,617,618,634,643,647,660,668,670,681,688,699,707,718,728,735,744,753,755,769,774,787,794,805,813,815,825,834,848,849,863,872,880,886,891,907,913,923,933,938,949,959,960,970,981,992,1000,1007,1015,1020,1030,1038,1045,1056,1062,1077,1086,1092,1099,1108,1113,1124,1135,1144,1153,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,27,39,45,55,63,72,80,88,95,104,112,121,135,138,146,159,167,178,314,324,331,339,349,359,366,370,378,393,399,408,414,428,433,440,597,604,616,625,634,639,650,655,665,677,681,688,695,703,713,727,733,739,750,758,766,774,786,789,798,807,821,827,840,844,854,865,873,878,889,896,901,912,924,933,936,942,952,964,976,979,989,999,1005,1016,1027,1033,1039,1049,1061,1066,1076,1087,1089,1102,1108,1121,1127,1134,1146,1155,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,25,30,40,44,54,65,71,77,91,95,103,115,125,129,144,148,159,167,178,315,321,328,337,346,354,365,377,378,393,402,407,413,427,430,444,447,602,611,624,628,637,649,652,668,669,684,690,696,704,712,726,733,745,747,758,767,777,781,789,799,808,814,824,832,845,854,857,874,881,888,899,902,910,919,929,941,947,957,964,973,976,988,999,1009,1013,1019,1035,1042,1046,1053,1062,1075,1079,1088,1103,1109,1117,1124,1133,1146,1150,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,29,36,49,55,59,76,80,93,97,107,114,127,134,142,149,159,167,178,315,318,329,336,352,354,363,370,382,393,402,403,419,423,433,437,453,607,609,620,631,642,650,657,660,671,685,691,698,704,718,727,731,742,749,761,771,776,782,791,798,810,819,825,836,847,852,862,872,880,889,897,907,912,922,927,937,942,958,962,971,980,985,997,1005,1017,1019,1031,1037,1050,1057,1066,1077,1083,1090,1099,1104,1117,1128,1136,1143,1152,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,26,37,46,54,63,74,82,90,101,105,113,127,135,143,149,161,167,178,314,322,331,339,346,358,368,375,379,392,401,407,416,422,432,444,457,601,611,625,629,635,645,659,667,675,681,692,699,706,718,727,729,744,746,756,770,776,785,789,803,812,822,825,832,842,852,860,867,875,884,893,908,912,920,929,942,945,957,963,975,981,989,994,1009,1011,1023,1028,1043,1048,1060,1068,1076,1081,1094,1101,1108,1113,1122,1137,1145,1148,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,31,42,46,51,64,75,82,92,94,105,116,127,129,141,150,159,162,174,313,320,330,338,349,359,365,371,383,393,401,404,417,427,433,443,599,608,617,619,628,639,650,660,662,677,685,688,699,711,714,727,736,737,752,756,765,771,785,796,800,808,822,827,839,842,855,862,869,874,883,896,900,914,922,933,941,946,952,963,974,980,989,996,1009,1010,1027,1031,1040,1051,1061,1065,1074,1084,1095,1100,1106,1113,1122,1132,1146,1151,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,29,38,47,55,60,74,78,92,100,103,115,125,131,139,150,161,166,171,315,326,330,343,350,360,366,370,380,390,399,411,413,429,432,439,598,604,613,621,633,643,646,657,668,675,678,692,699,704,717,723,729,743,748,756,770,772,780,792,803,811,817,827,835,846,851,859,866,875,889,893,905,908,917,925,936,946,957,963,973,982,991,999,1007,1017,1019,1031,1036,1046,1059,1067,1071,1083,1088,1096,1112,1119,1127,1134,1144,1147,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,32,42,45,59,63,74,79,91,95,104,119,125,132,138,146,155,162,178,180,320,332,337,348,354,363,369,385,389,400,404,414,427,434,438,597,602,617,625,628,641,644,652,667,669,681,687,701,710,716,726,736,744,751,755,765,778,787,796,802,811,815,823,837,840,851,858,866,876,888,895,906,910,920,933,939,946,952,965,969,978,989,1000,1006,1012,1027,1033,1040,1047,1055,1067,1072,1084,1092,1103,1112,1119,1123,1134,1142,1153,1158,1165,1176	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,22,32,42,49,51,59,69,85,87,95,108,112,127,134,142,153,157,163,171,314,323,332,339,351,358,363,376,385,392,403,404,413,428,431,446,458,600,617,618,631,638,644,656,665,676,680,690,696,709,713,725,734,740,749,755,765,775,787,790,800,806,819,831,837,845,856,860,871,875,889,891,906,909,917,929,941,950,954,959,970,983,991,995,1010,1018,1024,1034,1044,1049,1054,1070,1076,1082,1093,1101,1108,1118,1129,1130,1147,1152,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,20,32,36,50,54,62,69,82,93,95,109,119,126,130,137,148,156,167,176,181,326,331,343,351,356,366,377,385,391,398,404,414,422,435,439,466,607,616,623,628,640,647,653,662,671,682,694,695,706,719,720,735,739,748,757,768,772,782,796,799,811,821,825,833,843,851,859,865,879,882,891,899,915,920,931,935,942,954,961,972,978,988,1000,1010,1012,1023,1035,1040,1045,1055,1069,1072,1086,1088,1097,1104,1117,1123,1132,1145,1149,1158,1166	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,22,27,41,47,55,61,69,80,88,95,104,115,124,128,140,147,159,166,173,196,322,327,335,351,360,361,373,378,392,400,409,419,426,433,438,456,602,612,623,632,637,651,655,662,674,677,687,696,711,716,726,736,744,747,762,764,773,786,796,804,809,819,829,835,844,851,861,868,877,885,891,906,916,923,932,940,950,953,960,970,976,986,999,1008,1011,1027,1028,1036,1047,1056,1068,1070,1085,1091,1100,1105,1117,1125,1136,1144,1153,1163,1164,1178	1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
5,11,17,29,35,48,53,64,69,78,93,95,105,116,127,134,141,148,155,166,179,182,318,330,335,351,353,361,374,380,394,398,406,414,428,431,442,459,605,617,619,627,641,649,657,668,670,684,691,697,709,713,727,733,740,749,759,767,776,781,793,800,812,819,828,835,840,855,861,868,875,882,895,904,908,921,931,938,947,953,967,974,976,991,998,1005,1012,1022,1035,1043,1049,1059,1065,1077,1083,1089,1098,1105,1119,1124,1133,1141,1154,1158,1168	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,24,30,40,48,58,67,75,82,89,94,104,117,125,129,137,150,161,165,172,191,326,330,342,346,356,363,377,383,390,403,407,420,424,434,444,455,604,610,623,633,642,646,660,667,669,683,687,699,705,713,724,730,744,749,759,771,775,780,790,799,808,815,824,835,845,855,861,869,877,885,899,904,908,918,930,936,948,959,962,969,976,985,998,1003,1017,1022,1036,1038,1045,1056,1067,1073,1085,1088,1098,1106,1121,1125,1137,1139,1148,1157,1170	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,24,26,41,51,53,67,71,80,89,94,107,116,124,131,142,150,161,167,172,188,324,335,339,344,355,364,376,385,394,402,407,419,429,433,439,598,604,612,623,634,642,643,655,665,677,685,687,697,703,713,727,737,745,751,758,767,771,788,796,800,811,818,827,839,844,849,862,869,879,888,898,899,914,920,927,936,945,953,964,968,976,988,997,1008,1019,1022,1028,1037,1053,1058,1068,1077,1081,1089,1100,1106,1116,1127,1136,1140,1155,1161,1168,1177	0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,20,26,36,51,59,61,74,83,87,94,104,115,123,129,138,151,160,164,178,190,319,327,341,348,352,362,369,382,394,397,407,418,428,430,444,597,603,613,626,635,643,644,655,667,677,678,692,697,704,718,727,732,737,748,763,769,779,781,797,801,809,819,827,835,846,849,862,872,877,884,896,905,911,923,931,940,950,952,962,971,984,992,995,1002,1018,1022,1035,1036,1046,1058,1069,1073,1082,1094,1097,1108,1115,1124,1137,1143,1150,1159,1172	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,24,30,35,47,53,60,70,78,90,100,106,113,124,129,142,145,155,163,172,315,318,330,337,351,359,368,377,380,394,402,405,417,429,437,441,597,609,613,618,630,638,651,654,669,670,682,686,703,710,717,720,732,744,749,757,771,775,781,793,805,806,815,827,838,844,850,858,872,876,883,898,899,915,918,929,937,947,953,964,975,978,991,1001,1007,1011,1023,1032,1041,1052,1054,1070,1074,1080,1091,1098,1107,1119,1127,1130,1139,1155,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,17,25,40,46,59,65,68,85,89,96,106,118,127,131,140,146,157,164,173,180,320,331,342,343,352,366,376,385,394,398,404,412,423,437,440,597,606,616,623,629,640,644,660,667,677,684,690,701,708,712,727,737,741,746,759,766,772,786,791,798,813,815,827,834,840,849,865,868,880,888,896,906,911,925,930,939,944,958,967,976,985,991,1000,1007,1018,1021,1034,1040,1045,1058,1069,1077,1081,1091,1096,1105,1116,1128,1135,1140,1153,1157,1168	1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,23,29,42,44,58,64,68,79,87,95,104,113,125,130,138,146,161,165,177,191,325,327,341,345,360,367,372,383,390,397,406,419,421,433,440,463,607,614,618,627,636,647,653,661,675,679,688,702,704,714,726,729,739,753,762,763,773,782,797,804,811,822,827,839,844,851,858,868,878,883,898,904,908,921,932,941,943,956,967,971,981,992,995,1005,1015,1022,1035,1038,1047,1058,1066,1078,1086,1096,1103,1112,1113,1126,1135,1146,1150,1161,1171,1178	1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,15,21,34,40,50,57,61,75,82,89,94,103,118,126,131,144,148,157,165,178,196,319,327,340,347,359,367,370,378,389,401,408,418,427,437,442,596,603,617,624,634,636,650,653,666,676,683,690,700,704,719,721,735,740,753,757,766,773,785,792,803,806,819,828,832,840,848,862,872,875,888,895,907,912,924,926,934,950,951,965,970,976,992,997,1005,1014,1025,1027,1036,1047,1058,1070,1075,1087,1092,1104,1111,1120,1130,1138,1143,1151,1159,1171,1176	1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,25,28,39,48,52,67,74,78,88,95,107,118,125,134,140,152,160,168,178,182,318,333,339,344,360,362,370,383,394,401,403,417,423,437,440,458,604,614,626,633,637,644,659,665,675,682,692,697,704,713,721,730,742,749,761,766,779,784,791,800,812,821,829,833,846,855,865,871,874,886,895,905,915,918,929,936,949,954,964,975,981,986,997,1002,1011,1026,1032,1044,1048,1061,1067,1075,1082,1095,1098,1111,1120,1130,1138,1147,1154,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
6,12,23,31,42,44,58,66,72,83,93,98,108,115,126,133,139,147,160,162,172,182,321,330,343,346,359,363,377,379,393,400,404,418,422,437,445,597,602,610,622,629,638,644,658,668,671,683,689,701,708,714,725,730,738,749,759,768,778,785,792,800,806,814,823,837,845,850,857,870,877,887,898,904,915,925,926,938,944,956,966,974,977,985,994,1008,1018,1027,1029,1044,1049,1058,1062,1079,1087,1090,1100,1111,1118,1129,1131,1139,1148,1159,1168	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,13,23,32,40,50,56,60,69,79,89,102,110,115,127,128,138,145,158,164,177,181,326,332,342,346,356,365,377,384,391,396,411,417,423,432,444,598,603,615,622,630,639,648,652,668,674,680,691,697,709,716,724,732,739,753,758,770,774,785,792,804,808,821,826,834,848,849,859,869,881,889,898,901,912,923,932,936,947,957,966,974,983,987,1001,1005,1014,1022,1033,1044,1045,1062,1068,1074,1084,1090,1102,1107,1116,1124,1137,1146,1156,1160,1168,1177	1,0,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
1,10,25,28,38,48,51,63,71,80,91,97,107,114,125,129,136,147,158,170,179,318,320,332,336,347,359,367,377,383,393,395,404,414,427,431,446,596,608,615,621,635,643,644,652,666,675,679,687,699,711,715,722,731,737,746,756,769,772,781,793,799,810,814,827,831,845,849,860,869,880,886,893,903,913,924,930,941,949,952,961,973,983,993,1000,1009,1013,1019,1034,1036,1052,1060,1065,1076,1079,1091,1096,1109,1119,1122,1133,1142,1151,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,31,37,43,59,62,70,85,88,99,104,114,120,135,141,151,161,162,171,315,325,333,340,346,353,363,370,385,391,397,405,413,421,431,444,600,601,615,621,629,641,651,655,665,677,679,691,697,705,715,724,732,746,752,758,766,777,783,794,799,813,816,828,835,848,852,864,873,879,888,897,907,913,924,926,935,943,956,963,971,984,985,996,1004,1011,1025,1032,1037,1053,1062,1067,1074,1086,1090,1101,1112,1118,1127,1132,1145,1152,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,27,39,42,55,67,71,83,88,93,109,113,128,130,143,150,160,164,177,315,321,328,339,348,358,369,370,384,387,400,411,413,428,434,439,457,608,615,620,633,641,650,657,668,677,683,688,696,708,715,724,731,741,749,763,764,779,785,795,797,814,817,823,839,845,851,859,873,880,885,894,907,908,919,931,939,944,959,962,975,984,990,1001,1005,1018,1023,1035,1038,1048,1054,1066,1074,1085,1095,1099,1105,1120,1125,1136,1143,1152,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,24,33,40,47,55,60,72,77,88,101,110,116,127,135,142,148,158,168,176,315,324,330,335,346,360,365,375,384,390,396,407,413,427,437,445,600,609,616,625,629,636,645,656,662,675,681,687,698,710,715,724,734,737,747,760,764,775,781,794,803,814,817,826,834,842,849,860,871,875,883,897,905,912,922,928,939,945,958,965,972,977,991,994,1005,1010,1025,1029,1039,1045,1057,1064,1071,1081,1093,1104,1105,1118,1122,1135,1146,1151,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,29,40,43,51,66,70,84,87,96,103,116,120,134,141,146,156,165,173,315,322,335,339,349,355,367,373,381,389,402,410,418,422,430,443,600,603,610,618,631,642,649,658,665,676,679,692,698,709,713,727,733,744,750,759,770,772,784,794,801,814,822,830,832,846,852,864,873,875,887,894,907,912,919,930,937,949,954,966,968,984,985,998,1007,1018,1023,1030,1044,1049,1056,1067,1075,1086,1090,1099,1112,1121,1128,1137,1147,1151,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,23,32,39,44,58,63,75,78,91,100,106,113,125,132,142,147,157,169,172,316,320,330,341,348,358,361,376,381,388,400,410,418,422,436,442,455,601,610,620,627,637,647,657,662,673,683,691,695,708,712,723,733,739,746,758,766,777,780,789,804,808,817,824,835,846,852,858,865,880,889,894,902,908,917,933,940,950,953,959,969,980,986,995,1003,1017,1025,1028,1040,1050,1055,1070,1074,1086,1094,1101,1107,1116,1126,1137,1145,1155,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,27,37,46,59,66,69,84,91,96,103,113,122,134,143,146,160,167,175,315,324,331,337,345,356,361,376,380,390,400,403,415,425,429,440,600,608,615,622,627,640,645,658,668,671,678,691,696,703,714,721,735,743,750,761,771,772,788,794,798,813,819,827,837,843,853,862,872,880,890,895,905,913,924,925,939,945,954,960,972,978,992,1000,1005,1018,1020,1032,1042,1051,1060,1064,1072,1080,1094,1096,1109,1113,1124,1134,1146,1153,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,29,34,47,59,62,76,85,93,101,109,113,126,136,138,153,154,164,177,316,325,332,341,350,357,364,372,383,394,396,406,416,423,432,445,457,607,614,623,631,636,645,657,665,672,677,692,701,706,715,725,733,741,747,755,764,779,780,791,801,806,816,827,835,842,852,858,874,880,884,897,905,914,921,929,940,949,951,966,973,978,986,999,1004,1017,1022,1033,1042,1051,1061,1068,1070,1084,1088,1098,1105,1121,1129,1138,1142,1153,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,26,34,50,59,65,71,84,90,101,107,116,120,135,137,147,160,166,173,187,325,329,341,346,356,362,370,381,394,398,404,420,427,430,442,465,604,614,621,631,641,645,653,668,676,682,687,699,711,717,726,732,744,753,758,768,778,786,789,804,810,822,826,834,840,848,860,869,881,888,896,899,910,917,933,940,943,954,963,970,981,990,998,1010,1011,1022,1033,1037,1050,1057,1068,1075,1086,1091,1104,1111,1117,1123,1136,1144,1152,1161,1167,1173	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,17,30,38,44,57,62,71,79,93,97,106,117,124,134,144,146,153,165,173,313,325,331,341,344,357,361,374,381,393,395,406,416,422,430,444,596,607,609,625,628,635,650,652,668,669,682,687,698,708,720,723,737,743,750,757,768,777,784,795,798,813,817,830,833,847,854,862,873,878,890,891,900,911,921,927,938,944,957,965,968,981,986,994,1008,1014,1019,1035,1036,1045,1060,1066,1075,1083,1091,1100,1112,1117,1125,1131,1146,1149,1157,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,34,38,49,58,68,70,81,88,100,105,113,120,132,142,152,160,166,175,316,320,330,342,348,355,367,376,380,390,402,403,413,428,430,440,458,601,614,625,630,637,650,657,663,671,683,686,696,704,720,724,736,737,753,759,770,774,782,792,798,806,817,826,839,846,849,860,866,879,890,893,906,914,918,930,938,949,956,964,974,981,987,1002,1005,1018,1023,1036,1041,1052,1056,1062,1072,1081,1092,1097,1111,1117,1126,1135,1144,1147,1162,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,17,33,41,43,52,63,73,81,88,101,107,115,120,135,139,147,158,167,171,316,319,328,342,349,353,363,377,380,394,403,411,418,424,434,441,600,606,615,621,632,642,649,659,668,670,682,688,700,704,716,725,732,740,746,758,771,776,786,796,801,808,822,830,839,848,852,863,866,877,887,896,907,910,923,932,940,950,958,960,970,978,989,999,1007,1011,1020,1033,1037,1049,1061,1063,1073,1086,1090,1104,1109,1114,1128,1137,1140,1148,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,21,33,41,51,55,59,72,81,88,100,104,118,126,132,142,151,156,165,178,316,323,327,343,346,359,365,374,383,392,396,409,417,422,436,441,598,601,615,622,629,636,648,656,668,675,685,690,699,708,719,720,737,741,751,760,770,776,780,792,803,810,814,825,839,842,848,860,871,881,890,894,900,909,917,930,939,950,959,962,973,980,987,1002,1005,1017,1026,1033,1038,1051,1055,1070,1076,1086,1094,1102,1107,1119,1123,1138,1144,1154,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,18,29,38,49,54,60,72,81,87,100,108,118,123,129,140,151,160,170,171,179,322,327,342,344,358,363,377,380,392,400,407,412,424,430,437,599,607,617,621,627,640,644,653,665,675,685,689,701,710,713,721,736,739,749,761,770,773,780,794,797,806,815,829,837,847,848,861,870,877,887,894,906,912,919,929,936,947,951,966,975,982,993,996,1002,1013,1025,1035,1043,1050,1056,1068,1075,1083,1090,1100,1107,1119,1129,1132,1145,1155,1158,1170	0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
7,17,22,32,40,49,52,64,73,77,87,94,104,118,119,135,139,149,154,169,175,316,319,329,341,349,358,364,369,384,392,398,408,419,426,430,438,596,602,617,625,630,637,643,656,669,670,682,687,695,711,717,722,735,743,750,756,768,777,783,794,797,808,820,827,832,840,848,858,869,879,883,897,907,915,921,931,935,945,952,964,974,984,986,995,1006,1014,1026,1031,1040,1051,1060,1063,1073,1085,1096,1100,1106,1117,1123,1134,1142,1149,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,29,40,48,56,61,73,81,87,101,105,111,124,133,139,147,160,170,174,314,322,333,339,348,356,361,374,383,394,398,405,416,426,436,442,598,602,610,624,630,643,649,656,662,676,679,688,701,705,720,721,737,742,747,756,770,778,785,796,800,814,818,824,836,841,855,864,869,879,884,894,900,916,921,930,942,950,953,964,974,978,986,1000,1009,1018,1019,1033,1044,1050,1057,1065,1071,1085,1095,1096,1105,1117,1125,1133,1143,1149,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,27,40,49,54,65,74,80,86,96,106,112,125,133,141,151,161,163,176,317,321,331,338,344,358,365,371,381,386,400,409,418,420,435,446,597,602,612,620,633,641,646,657,666,673,681,690,698,703,713,723,737,744,750,758,768,774,784,789,801,813,815,825,835,845,850,861,871,878,883,899,903,916,921,925,937,942,952,960,972,983,989,1000,1004,1013,1020,1033,1036,1049,1058,1068,1071,1086,1092,1101,1110,1120,1125,1138,1142,1153,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,31,34,50,51,66,71,80,89,98,103,116,121,131,141,145,159,163,172,315,324,328,338,348,359,368,377,378,391,402,406,418,428,433,444,596,603,612,622,630,637,648,653,662,672,685,694,697,707,717,720,729,737,750,757,769,776,788,790,798,812,822,828,839,848,855,862,873,881,884,896,907,912,916,925,941,948,957,965,971,976,991,997,1003,1013,1025,1032,1039,1045,1060,1069,1077,1085,1092,1101,1106,1113,1128,1138,1145,1148,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,22,29,36,43,54,60,73,81,88,97,104,115,119,131,144,147,160,168,172,318,326,329,343,349,357,362,369,379,389,400,408,420,425,436,445,596,607,610,623,630,642,650,653,667,677,679,693,698,706,716,725,736,742,752,755,767,778,785,794,799,812,821,823,835,840,853,863,867,874,890,894,904,915,917,933,942,947,954,967,968,980,987,1001,1008,1017,1026,1032,1037,1047,1053,1067,1076,1085,1091,1104,1107,1119,1128,1138,1139,1152,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,22,28,34,49,59,67,69,82,90,100,106,111,127,135,141,152,161,164,174,315,319,328,337,347,356,362,372,381,393,401,410,412,420,430,444,596,601,614,619,630,642,648,655,662,671,685,688,698,703,714,725,730,743,747,761,767,777,785,790,802,812,818,827,837,844,854,858,874,882,888,896,907,913,922,929,941,942,952,961,971,984,988,998,1007,1019,1021,1032,1037,1046,1058,1069,1075,1087,1092,1096,1112,1118,1130,1136,1146,1152,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,28,38,46,55,67,71,79,85,94,106,112,123,128,141,150,157,166,177,315,320,330,336,349,356,364,377,380,387,400,410,417,427,434,440,599,603,611,626,633,643,646,653,663,675,679,694,699,708,712,728,732,738,751,762,768,778,782,794,799,813,818,828,837,842,848,858,868,876,883,897,900,911,918,930,939,943,952,961,970,977,987,994,1003,1014,1027,1028,1039,1048,1055,1066,1072,1081,1091,1104,1107,1115,1127,1134,1145,1151,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,30,41,44,53,65,70,85,87,102,109,115,122,129,140,145,154,166,172,317,319,334,341,348,360,366,377,381,386,403,404,413,426,434,440,456,608,614,625,627,641,644,657,667,671,684,694,697,707,712,726,731,741,746,759,769,771,787,791,799,807,819,828,838,848,856,861,868,875,889,892,904,914,917,933,936,947,956,961,971,981,987,997,1008,1014,1024,1029,1041,1049,1057,1069,1076,1086,1093,1100,1113,1116,1128,1132,1142,1150,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,32,37,47,56,61,69,77,89,98,104,118,123,133,137,151,159,170,172,317,323,327,343,344,354,364,377,385,391,395,407,419,424,431,438,597,604,616,620,629,638,647,652,662,669,678,691,697,707,716,727,733,745,749,757,769,772,781,790,801,812,816,825,838,841,856,861,869,879,884,894,899,916,924,933,941,950,952,965,970,980,993,996,1003,1015,1021,1034,1043,1046,1062,1063,1079,1083,1091,1099,1107,1119,1124,1133,1145,1149,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,32,39,49,51,63,68,77,92,96,105,112,126,129,140,146,162,170,177,316,325,334,339,348,357,365,372,382,393,402,411,412,423,436,445,462,601,609,619,629,636,649,659,663,669,682,692,702,706,714,723,736,745,747,755,769,774,787,790,804,806,819,825,836,841,853,859,868,878,883,893,908,914,924,925,934,949,953,967,970,977,985,997,1010,1017,1026,1035,1044,1047,1058,1068,1077,1085,1095,1097,1104,1117,1122,1132,1147,1153,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,31,37,42,57,62,74,79,85,102,109,111,127,132,137,150,158,163,177,313,325,330,338,343,359,368,370,380,389,402,407,419,427,430,443,471,608,615,623,626,641,648,655,662,669,681,687,700,707,717,724,732,744,749,759,764,774,783,795,803,810,822,823,834,842,856,861,867,880,887,898,906,914,918,930,938,942,959,964,969,981,988,999,1006,1015,1022,1035,1043,1049,1054,1068,1077,1086,1092,1104,1112,1113,1125,1137,1145,1147,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,17,25,41,43,54,64,74,76,90,96,110,116,127,131,137,146,155,170,175,313,320,329,342,351,354,369,372,379,391,396,403,419,422,435,441,600,608,614,620,633,641,651,658,668,674,678,689,696,710,713,722,737,738,751,757,767,772,786,794,798,809,815,826,834,843,848,858,869,880,886,898,901,913,923,933,935,948,955,964,973,978,990,999,1010,1015,1027,1031,1037,1049,1057,1066,1078,1082,1095,1104,1105,1116,1126,1132,1140,1154,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,21,31,35,50,52,66,70,80,86,101,110,117,120,136,143,150,157,164,173,182,325,327,338,345,353,362,375,378,390,398,403,418,423,432,443,597,601,617,621,629,641,651,657,666,675,685,692,698,709,719,727,730,744,747,761,770,774,780,789,805,812,820,828,836,846,856,858,873,876,884,891,906,913,922,930,942,949,954,968,969,981,988,999,1006,1018,1026,1035,1042,1047,1056,1069,1071,1084,1087,1101,1109,1114,1123,1131,1144,1153,1162,1166,1174	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,19,29,37,43,54,68,72,84,86,95,105,115,123,130,144,151,153,163,172,183,318,328,336,350,360,365,373,380,388,397,409,412,425,431,438,599,603,613,620,631,640,645,658,665,670,682,693,697,707,717,721,734,741,752,758,763,774,786,795,805,811,819,825,834,840,851,864,868,878,890,896,899,914,920,930,934,943,954,968,975,984,985,997,1004,1015,1021,1035,1037,1046,1057,1065,1075,1082,1088,1101,1109,1118,1123,1138,1146,1149,1159,1168,1174	1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
1,14,19,29,42,43,58,66,74,82,86,96,102,118,120,134,142,152,156,165,172,180,326,329,340,346,352,365,370,384,393,402,408,419,421,437,440,596,606,616,626,631,643,651,660,663,675,686,694,699,707,713,721,734,742,753,757,766,778,780,790,798,811,822,828,838,847,853,864,872,881,885,893,902,909,920,928,935,947,957,963,968,983,989,995,1007,1014,1027,1033,1037,1052,1054,1070,1076,1085,1093,1100,1105,1120,1123,1135,1142,1148,1159,1165,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,22,28,39,43,51,60,73,78,92,102,109,119,126,129,137,148,156,167,177,182,321,331,335,350,354,363,376,385,387,403,408,414,425,430,438,597,604,612,618,626,636,645,657,663,675,685,694,696,708,719,720,730,745,747,761,765,774,788,790,804,810,817,828,837,840,852,857,869,882,888,896,905,912,919,932,935,948,958,964,973,977,986,999,1002,1013,1021,1029,1041,1045,1056,1064,1079,1086,1091,1098,1109,1121,1122,1135,1143,1152,1160,1164	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,11,19,33,40,48,51,66,69,78,88,101,108,119,122,133,137,150,162,168,178,182,323,328,338,352,354,363,370,383,387,399,407,417,423,437,445,599,605,611,624,629,638,644,660,662,671,678,686,701,707,718,727,736,742,746,760,763,776,787,789,797,809,819,829,832,846,855,863,868,874,887,892,900,911,923,929,940,945,956,963,975,977,990,995,1003,1018,1026,1031,1042,1046,1058,1070,1073,1081,1090,1103,1106,1115,1123,1132,1147,1152,1159,1168,1178	1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,19,33,38,44,56,61,76,77,89,95,110,119,123,130,143,147,155,164,177,189,323,330,336,346,360,368,372,378,386,399,411,416,422,430,440,454,601,609,624,628,641,649,657,668,670,684,688,700,711,714,724,729,745,750,758,769,772,781,796,802,809,816,823,832,840,854,863,871,876,882,896,900,912,924,925,941,946,958,960,968,983,992,997,1002,1012,1027,1032,1037,1047,1057,1069,1078,1087,1089,1101,1108,1114,1125,1134,1146,1149,1163,1164,1173	1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,20,34,38,48,57,63,72,77,87,98,109,114,123,134,137,146,160,167,173,184,323,332,335,352,359,362,375,385,389,400,406,412,427,434,446,598,608,614,619,628,640,649,660,661,677,681,689,700,706,716,723,736,741,751,760,768,774,781,790,804,813,822,826,836,843,849,859,870,879,890,898,902,915,917,930,942,943,959,961,968,982,989,997,1010,1017,1024,1031,1040,1051,1055,1063,1078,1081,1088,1102,1112,1120,1127,1135,1147,1155,1162,1168	1,0,0,1,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
3,8,18,29,40,47,54,64,72,82,90,97,103,114,127,131,143,146,157,166,171,181,319,329,341,350,360,367,377,378,390,399,405,413,427,429,444,467,608,616,625,626,635,644,659,669,674,686,693,697,709,718,725,731,744,747,755,765,777,787,791,803,808,818,828,838,840,853,862,870,874,884,899,901,911,923,927,942,943,954,967,972,984,992,996,1007,1011,1024,1035,1044,1049,1055,1067,1075,1083,1089,1097,1109,1115,1126,1134,1144,1149,1156,1169,1173	1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0
4,9,22,28,36,44,55,65,75,82,93,95,103,117,127,134,137,150,159,162,171,317,325,333,343,344,356,364,375,381,387,397,403,412,427,431,438,469,607,613,618,632,635,649,653,667,670,681,688,702,703,713,721,735,741,752,760,770,773,784,796,802,811,819,830,838,848,850,863,868,881,883,892,903,916,919,927,937,949,957,964,968,979,990,995,1005,1014,1027,1033,1044,1045,1054,1064,1077,1081,1095,1100,1106,1118,1130,1133,1139,1155,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,32,40,44,51,67,69,78,90,100,106,114,127,132,138,150,161,163,172,199,325,333,335,347,355,363,371,382,388,401,409,416,423,432,443,598,603,609,622,631,642,650,660,664,672,680,691,702,706,713,726,736,741,750,761,769,776,782,793,797,811,822,826,839,843,849,864,867,874,888,893,900,911,924,925,941,946,959,964,968,982,985,995,1006,1013,1025,1032,1037,1045,1057,1066,1077,1082,1087,1103,1104,1120,1123,1137,1143,1154,1161,1172	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,24,27,39,45,58,63,74,80,92,95,107,117,119,133,142,145,155,169,176,188,320,332,342,345,359,367,377,386,393,401,404,419,421,435,438,460,609,616,624,634,635,648,655,665,673,681,692,698,710,713,728,731,738,747,755,766,778,783,794,804,813,815,824,835,842,855,864,871,875,888,898,905,916,921,927,942,944,958,966,971,981,993,994,1007,1018,1019,1030,1041,1049,1056,1064,1076,1084,1096,1097,1110,1120,1123,1138,1143,1149,1162,1169	1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,16,23,29,41,50,51,63,69,84,87,101,107,111,127,131,141,153,156,169,171,181,323,330,340,350,353,365,374,379,387,401,407,418,422,436,442,449,607,612,618,630,638,648,660,668,675,678,688,696,711,718,725,729,743,754,762,771,776,784,794,800,810,818,824,833,843,849,862,870,880,890,891,900,910,923,927,941,951,952,963,969,981,991,1000,1003,1018,1021,1033,1042,1048,1061,1065,1076,1083,1093,1101,1110,1117,1123,1136,1145,1147,1160,1170	1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,24,26,38,51,52,65,76,77,92,97,103,112,124,128,139,147,158,170,177,185,324,327,335,351,354,368,371,380,393,403,405,412,420,436,446,462,604,615,621,632,639,645,656,661,669,685,688,699,707,717,723,735,742,748,761,768,779,780,794,800,809,819,825,837,841,849,860,866,876,884,894,903,915,917,928,940,943,954,962,973,984,989,994,1006,1015,1022,1032,1039,1045,1058,1065,1077,1083,1092,1101,1108,1116,1128,1131,1139,1152,1160,1172,1177	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
6,9,22,30,39,47,56,61,75,77,90,97,110,118,122,134,139,152,159,162,172,191,324,330,342,349,357,365,370,379,389,396,406,413,426,431,438,466,605,613,620,633,637,651,660,663,676,682,688,696,709,712,727,729,738,751,755,770,777,781,793,802,812,820,825,836,844,854,860,870,878,886,897,903,912,920,933,938,950,956,961,970,977,986,994,1010,1011,1021,1032,1043,1051,1061,1063,1072,1086,1088,1102,1107,1120,1125,1132,1146,1152,1159,1165	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,21,32,39,46,58,61,71,80,92,94,109,115,126,128,143,152,159,166,173,190,322,334,341,349,359,367,374,386,395,399,405,419,426,432,443,468,605,611,626,630,639,649,656,665,677,683,690,700,707,717,721,729,740,752,761,766,778,787,790,800,811,817,829,831,848,849,865,871,875,887,898,901,913,918,931,939,950,959,964,974,984,992,1000,1003,1013,1023,1035,1043,1052,1060,1068,1074,1087,1090,1098,1109,1121,1129,1136,1143,1150,1160,1164,1178	0,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,24,28,35,49,59,66,68,77,87,100,103,113,124,128,136,147,157,169,173,315,323,332,342,346,354,363,371,384,394,398,410,418,426,430,441,599,608,613,626,627,639,647,655,661,671,679,688,699,703,712,727,730,745,751,761,766,775,782,796,802,812,822,828,837,844,849,862,873,878,883,892,901,915,923,925,938,948,954,962,969,982,993,997,1003,1014,1022,1033,1039,1048,1061,1063,1076,1081,1090,1097,1111,1116,1123,1131,1141,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,18,31,38,47,53,64,69,82,92,94,108,111,125,132,142,151,159,169,171,313,324,332,338,344,354,367,369,384,388,399,405,419,426,437,444,457,608,611,626,631,635,649,657,668,673,677,687,696,710,714,724,735,737,747,755,770,773,786,795,805,806,820,826,839,840,852,861,873,876,884,898,906,911,923,926,940,943,956,961,968,977,986,993,1003,1011,1021,1034,1039,1050,1058,1062,1074,1080,1092,1099,1107,1119,1122,1138,1140,1149,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,29,41,43,55,65,76,79,90,100,106,118,121,135,137,149,158,167,177,317,324,331,342,349,356,365,374,384,386,403,406,413,424,433,441,596,608,613,619,628,638,649,655,666,671,678,687,697,707,717,728,731,738,747,756,766,772,784,795,798,809,821,831,836,847,851,865,872,876,886,899,900,912,917,928,937,948,958,959,969,980,987,1000,1006,1017,1019,1028,1036,1052,1059,1067,1077,1083,1091,1097,1109,1118,1124,1134,1145,1153,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,17,33,37,48,53,62,74,81,85,98,104,112,126,135,142,150,161,168,178,315,324,327,343,350,355,364,373,379,391,401,405,416,423,429,439,598,602,616,624,627,643,646,660,666,673,678,694,697,708,713,728,730,738,746,755,769,773,787,797,801,814,817,823,833,841,856,862,869,877,885,897,904,910,918,928,940,950,956,965,976,983,990,996,1004,1019,1027,1032,1039,1048,1057,1063,1075,1085,1092,1102,1108,1118,1127,1133,1143,1150,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,33,37,49,53,62,68,80,89,96,107,113,121,129,144,150,161,169,175,314,324,329,343,346,354,362,377,381,393,398,405,419,427,437,438,597,607,615,623,630,642,647,652,665,672,681,692,702,704,713,722,730,741,753,755,771,772,780,790,799,813,818,826,837,841,855,861,872,879,889,891,900,910,921,929,942,950,951,960,975,984,990,1000,1005,1013,1027,1032,1040,1046,1053,1062,1071,1079,1096,1101,1109,1119,1123,1135,1143,1147,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,33,41,48,51,66,74,76,90,101,103,115,123,135,143,152,160,164,178,317,324,326,338,350,353,365,378,382,391,401,405,413,426,432,442,600,601,612,621,631,637,645,655,664,674,684,694,702,711,716,723,734,740,750,755,767,775,782,792,805,806,821,830,838,840,853,862,871,876,885,894,903,914,920,926,939,947,956,967,971,978,990,1000,1004,1012,1022,1032,1039,1045,1054,1063,1077,1085,1093,1097,1109,1114,1124,1133,1139,1147,1162,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,31,40,47,58,67,75,81,86,101,106,119,126,131,139,146,158,170,174,314,320,335,341,347,356,363,374,385,392,395,407,414,423,436,438,466,607,612,624,633,635,644,653,667,670,678,691,697,706,715,725,733,740,751,755,765,777,780,792,805,808,816,826,838,840,857,861,868,880,883,895,905,912,924,932,935,947,959,967,969,982,988,999,1007,1016,1025,1031,1044,1045,1061,1068,1077,1086,1094,1099,1110,1120,1128,1131,1141,1151,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,27,36,50,52,63,73,82,85,95,105,116,119,135,137,147,154,170,172,315,322,330,339,345,360,362,374,379,388,398,406,417,422,430,441,598,603,611,625,626,642,644,652,666,677,686,687,702,706,712,721,732,739,749,759,769,774,784,789,798,806,822,826,836,840,852,863,873,878,886,896,901,916,923,930,938,945,951,967,976,981,988,995,1005,1017,1019,1033,1043,1052,1056,1063,1072,1085,1095,1102,1106,1115,1122,1134,1144,1152,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,22,30,42,49,51,62,75,80,92,96,108,115,125,134,137,148,157,167,178,181,318,334,343,351,354,367,375,386,388,401,407,418,427,434,438,458,608,610,619,626,638,648,659,661,669,685,689,700,705,714,723,736,742,746,761,769,774,784,791,805,812,822,825,831,842,856,864,869,876,886,894,904,915,923,927,937,943,956,960,974,983,991,995,1005,1013,1020,1031,1040,1045,1061,1068,1078,1083,1090,1100,1107,1113,1122,1136,1142,1151,1160,1171,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,22,25,40,50,59,61,73,83,86,101,109,118,123,132,137,145,154,170,174,316,320,331,341,350,352,364,372,378,391,395,411,418,424,435,439,599,607,614,621,634,635,648,658,666,672,679,692,699,704,712,723,729,743,754,756,769,777,785,796,802,806,816,823,837,847,851,864,867,881,888,894,902,911,921,930,940,948,954,961,969,980,991,997,1008,1015,1026,1036,1039,1045,1060,1065,1075,1084,1088,1101,1107,1116,1123,1133,1143,1151,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,30,37,49,56,61,71,83,87,95,108,116,122,135,140,149,160,170,179,313,321,334,338,348,358,369,374,379,393,400,411,414,424,434,439,598,606,614,619,634,638,651,659,664,674,683,689,703,710,718,722,735,745,752,755,764,775,784,796,800,806,819,824,837,848,853,861,866,875,888,898,905,914,918,932,936,949,954,965,974,979,992,999,1006,1015,1020,1035,1044,1045,1056,1062,1075,1087,1089,1097,1105,1115,1129,1132,1146,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,25,36,46,54,62,68,78,90,96,105,113,120,133,139,145,156,164,175,316,324,332,341,348,353,365,374,383,392,399,405,416,429,434,445,596,606,614,622,626,635,647,660,667,674,682,692,700,703,714,722,730,741,754,757,767,772,784,797,803,812,818,826,836,841,854,859,869,879,883,892,906,913,919,929,941,942,951,964,974,978,986,998,1008,1017,1025,1032,1040,1049,1060,1069,1078,1086,1093,1097,1110,1113,1125,1132,1142,1150,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,28,40,43,59,66,72,82,93,95,107,118,127,131,143,146,153,168,174,318,324,333,343,350,354,366,371,385,393,397,407,419,428,437,438,599,607,614,625,626,639,651,660,665,677,682,693,697,704,713,723,731,741,747,758,764,775,784,797,805,809,819,829,835,841,856,857,872,881,883,893,903,916,920,931,940,947,953,967,968,980,992,999,1008,1019,1027,1035,1039,1045,1055,1069,1077,1081,1091,1102,1108,1116,1123,1131,1141,1153,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,26,35,42,54,66,72,79,93,94,107,118,121,134,140,148,161,169,176,193,325,332,339,346,358,361,377,382,394,400,404,415,426,433,443,459,604,615,622,626,636,645,657,666,670,678,691,699,706,712,720,731,743,752,757,765,773,787,795,805,808,819,827,839,840,853,859,871,875,887,891,900,909,919,926,939,942,955,963,970,980,987,994,1007,1016,1022,1031,1038,1047,1059,1064,1073,1085,1095,1101,1107,1113,1128,1137,1145,1151,1156,1169,1174	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,15,18,29,39,47,51,63,72,79,86,97,105,118,125,133,144,149,159,167,179,313,321,331,338,351,357,361,376,386,394,401,408,415,421,430,446,600,607,612,621,627,641,648,653,668,669,678,694,696,707,715,725,736,743,747,759,769,771,784,791,803,805,815,824,836,840,848,858,866,879,883,894,907,915,917,927,938,945,958,965,974,984,989,994,1009,1015,1025,1030,1042,1052,1056,1066,1077,1085,1088,1096,1110,1119,1125,1135,1146,1149,1156,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,27,42,48,54,60,75,81,93,96,104,117,125,133,142,150,161,165,171,314,326,333,343,346,360,365,373,379,391,395,405,417,422,435,442,596,604,615,622,629,635,652,654,664,672,678,693,700,704,717,720,730,743,754,755,768,772,786,792,801,810,819,826,839,843,850,857,867,875,889,892,900,910,919,928,936,943,952,965,971,984,987,1001,1006,1016,1026,1036,1042,1045,1054,1062,1077,1083,1089,1097,1108,1114,1128,1136,1142,1153,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,23,28,38,45,53,68,69,81,93,97,106,115,126,130,143,148,159,169,174,315,324,332,337,349,357,362,377,380,391,398,405,420,421,432,446,471,601,615,623,628,640,644,658,664,675,679,686,699,707,718,727,736,740,752,762,767,775,788,796,802,810,817,831,839,840,851,858,873,878,890,896,901,910,924,928,940,946,951,960,975,977,990,995,1006,1011,1022,1032,1040,1046,1058,1062,1070,1082,1089,1096,1106,1118,1123,1136,1141,1152,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,30,39,44,56,67,76,78,88,101,104,117,128,134,143,145,156,164,173,315,323,329,336,351,355,366,369,383,393,401,409,414,420,436,441,468,607,614,624,628,635,650,652,663,677,683,687,695,708,713,726,735,742,751,756,765,779,783,789,804,812,818,830,831,843,856,861,872,880,890,897,905,915,920,933,937,950,953,965,976,979,991,999,1003,1012,1027,1032,1042,1052,1056,1062,1077,1086,1094,1099,1109,1117,1127,1131,1140,1150,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,28,42,49,53,65,72,81,88,95,106,116,124,129,138,147,159,169,172,314,318,329,335,351,356,361,373,382,389,397,408,416,422,431,438,449,608,612,626,628,643,650,653,666,675,680,686,695,710,720,722,737,746,750,759,767,775,787,794,805,814,815,829,837,846,855,857,870,881,883,897,905,916,924,928,936,948,957,960,976,979,988,998,1010,1018,1026,1033,1042,1047,1057,1063,1076,1079,1090,1103,1109,1121,1127,1137,1143,1153,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,25,42,49,57,68,76,77,92,98,110,115,125,130,141,150,157,169,171,314,321,331,342,344,358,365,377,380,388,397,405,417,427,432,444,466,607,609,619,630,635,644,653,662,673,679,688,699,705,717,721,732,739,746,759,763,773,787,795,802,806,819,829,831,845,853,865,867,879,888,893,899,909,922,926,937,950,954,963,976,984,990,1001,1008,1016,1026,1031,1044,1045,1059,1063,1075,1079,1088,1103,1110,1115,1122,1137,1147,1154,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,19,26,40,43,55,59,74,83,86,100,102,116,120,128,137,152,154,166,177,317,322,332,335,350,354,362,371,380,393,398,410,420,425,432,439,462,602,617,620,631,641,646,658,663,676,678,690,702,703,713,720,729,745,747,760,764,772,786,797,798,809,816,825,834,840,856,859,868,875,885,891,905,912,917,926,941,945,956,967,974,984,986,997,1006,1014,1023,1032,1044,1047,1056,1069,1076,1079,1095,1096,1107,1114,1123,1134,1139,1155,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,32,36,50,58,60,70,84,90,97,109,115,122,129,143,152,160,164,171,317,324,332,341,347,359,363,372,385,394,400,404,416,424,430,445,462,604,610,621,634,638,643,657,667,674,684,690,695,704,712,725,734,745,746,760,767,772,782,791,798,810,815,829,840,841,855,862,867,880,883,897,905,909,921,927,935,950,957,965,974,984,986,999,1009,1015,1022,1033,1043,1051,1054,1067,1073,1084,1089,1101,1111,1120,1128,1130,1146,1153,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,21,27,42,46,55,66,72,84,88,100,108,114,127,130,140,150,156,164,171,317,321,326,335,350,357,364,374,385,394,398,410,416,422,434,441,598,607,610,622,630,641,650,656,666,671,677,691,697,707,717,723,733,743,748,761,766,773,783,795,804,810,822,826,831,846,849,863,872,875,888,893,905,914,919,926,942,949,951,966,975,984,991,995,1002,1019,1024,1031,1043,1046,1055,1070,1079,1084,1095,1100,1110,1114,1127,1135,1147,1155,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,30,34,50,54,66,75,77,88,96,105,117,123,136,139,147,155,168,177,313,320,332,340,351,357,366,370,386,390,395,410,420,421,435,437,596,608,613,625,632,642,646,656,662,669,682,690,699,703,715,728,736,743,749,763,766,773,785,796,801,808,818,830,836,848,853,860,871,877,886,896,903,909,917,932,936,947,955,965,968,983,987,999,1009,1015,1023,1031,1037,1050,1054,1063,1070,1080,1094,1100,1105,1113,1122,1133,1144,1153,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,27,38,50,58,61,72,84,87,98,106,118,126,134,141,147,158,162,177,318,319,327,338,351,359,364,374,380,388,401,407,417,423,433,442,457,605,617,620,634,639,649,652,664,671,683,690,697,704,712,726,729,745,751,755,771,773,782,793,805,806,817,827,832,842,851,861,869,874,891,894,905,915,925,929,935,949,958,966,968,978,989,994,1008,1014,1021,1036,1044,1050,1054,1064,1075,1083,1089,1102,1107,1116,1128,1138,1142,1151,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,28,39,45,53,67,75,84,88,102,109,119,124,130,144,153,156,168,172,314,326,329,338,348,355,361,372,385,393,400,409,414,423,433,445,448,607,614,620,629,640,646,652,660,676,684,690,703,708,717,722,735,739,748,757,768,778,787,796,799,811,820,828,832,842,850,865,870,880,887,899,908,913,924,927,942,944,955,966,972,979,986,1000,1002,1014,1023,1031,1042,1053,1055,1064,1076,1080,1091,1101,1105,1121,1124,1136,1142,1154,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,30,42,43,52,66,69,80,85,101,108,117,123,132,142,146,160,162,173,188,324,333,338,350,356,367,372,381,388,396,408,419,427,431,442,468,604,614,621,634,636,643,654,662,671,682,691,701,703,717,720,731,741,751,762,767,773,787,793,799,810,822,829,835,846,851,858,872,882,890,898,907,913,921,931,937,946,955,963,972,978,989,998,1007,1018,1027,1035,1043,1045,1053,1063,1073,1086,1088,1097,1107,1117,1122,1131,1145,1148,1160,1164	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
7,14,22,28,36,44,54,60,72,79,86,96,102,111,121,132,139,150,159,163,178,183,324,329,342,346,355,367,369,383,389,396,405,414,427,435,444,597,605,611,624,629,637,645,660,666,669,678,693,698,710,717,724,733,741,750,757,763,778,788,789,804,814,821,829,837,840,856,863,870,878,890,899,903,912,924,927,938,947,955,966,974,982,991,996,1004,1014,1026,1036,1041,1048,1053,1068,1077,1079,1087,1099,1111,1114,1129,1131,1145,1148,1161,1167,1173	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,19,31,36,44,53,63,74,81,92,94,109,112,124,132,140,147,155,167,174,189,320,327,340,349,355,361,377,385,391,398,403,413,424,437,439,470,602,613,620,632,637,647,652,661,672,685,690,694,710,716,721,735,741,748,758,768,778,784,791,797,806,821,827,835,840,849,865,872,876,884,892,905,910,922,933,937,948,958,960,974,979,988,1001,1010,1015,1020,1031,1037,1050,1058,1069,1071,1087,1091,1100,1110,1114,1124,1137,1147,1152,1158,1169,1177	1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,11,23,27,34,43,54,65,73,80,88,95,106,112,122,130,139,147,160,163,179,180,320,331,339,344,355,361,377,383,387,396,408,419,422,431,446,453,605,615,626,628,637,647,659,667,676,684,693,699,709,714,722,732,738,754,762,770,778,783,791,804,807,816,826,833,845,852,864,868,875,886,898,904,908,924,933,942,949,953,963,970,982,985,995,1007,1012,1025,1035,1042,1051,1057,1063,1072,1079,1095,1102,1109,1113,1125,1137,1140,1153,1162,1170	1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,22,31,39,46,53,63,68,78,89,94,104,115,120,132,138,147,156,169,178,180,326,334,341,345,354,365,371,383,389,398,404,418,428,431,442,598,604,617,622,632,638,650,655,667,674,683,689,698,708,719,724,729,744,746,760,764,778,781,795,805,813,815,830,835,846,855,864,873,875,886,898,904,914,917,927,937,947,958,967,973,984,989,996,1008,1012,1027,1028,1037,1046,1058,1062,1072,1087,1093,1102,1107,1113,1128,1137,1146,1153,1163,1166,1173	1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,20,30,37,50,58,65,72,85,86,100,104,117,124,135,144,150,158,170,175,180,326,332,337,348,353,364,376,381,389,400,411,413,425,433,440,598,604,615,623,628,638,649,656,666,676,684,691,700,705,719,723,733,739,750,756,766,775,788,795,804,811,819,827,837,844,854,863,869,879,886,899,905,913,919,927,937,948,953,964,975,981,993,998,1005,1016,1026,1028,1038,1051,1055,1064,1075,1086,1095,1101,1105,1118,1128,1136,1143,1153,1161,1164	1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,22,26,36,49,55,67,74,80,89,97,104,112,122,132,138,150,160,169,177,184,320,330,343,344,356,366,369,379,388,401,407,413,422,434,438,597,602,609,625,633,642,644,655,664,671,683,686,701,708,714,724,735,743,749,755,766,776,787,789,804,809,816,827,836,840,852,863,868,879,887,898,907,916,920,928,934,945,956,965,970,979,992,997,1004,1019,1024,1031,1036,1049,1059,1067,1077,1082,1089,1101,1107,1113,1127,1135,1144,1152,1163,1171,1177	0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,22,31,38,43,59,64,69,79,91,100,106,118,127,129,138,149,158,169,174,184,324,331,338,346,354,366,372,380,390,403,409,415,428,432,442,597,607,611,623,630,635,644,653,669,674,680,687,699,704,712,721,735,740,749,762,767,779,780,792,800,812,821,826,838,843,848,860,866,880,883,892,900,911,923,931,940,946,957,963,971,983,985,997,1006,1014,1026,1029,1041,1045,1055,1064,1078,1080,1095,1102,1111,1119,1122,1130,1142,1151,1156,1170,1178	0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
6,14,17,28,37,47,55,65,76,77,91,98,104,113,120,134,144,149,158,170,175,317,318,332,340,345,357,365,376,383,388,395,408,414,425,436,445,465,606,616,621,627,640,643,658,665,671,682,686,702,706,714,723,733,740,751,759,764,772,784,794,804,808,820,827,831,841,856,862,873,876,887,892,906,914,919,932,934,950,954,966,971,981,986,998,1008,1014,1025,1034,1037,1048,1054,1062,1078,1080,1088,1098,1112,1117,1124,1134,1147,1151,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,30,42,46,58,60,70,81,88,95,106,114,119,131,140,148,160,163,172,191,324,332,342,349,356,368,377,382,392,402,407,417,426,430,443,600,605,617,621,626,638,644,655,662,674,683,688,695,710,717,727,730,739,748,761,768,772,785,792,797,806,818,828,839,843,854,861,867,881,883,897,908,914,922,927,939,950,959,964,974,977,987,998,1003,1013,1024,1032,1037,1045,1061,1067,1072,1083,1091,1098,1110,1114,1128,1133,1144,1155,1156,1171	0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,12,21,26,36,45,56,66,69,77,87,98,110,111,125,134,143,153,156,166,178,193,326,334,335,348,355,364,375,384,392,403,410,418,427,436,444,467,607,615,623,626,638,645,659,660,672,684,691,696,709,712,725,730,745,748,754,768,775,780,794,803,811,820,826,832,844,852,861,872,879,886,897,905,910,919,932,935,950,955,961,973,979,992,994,1004,1013,1026,1028,1037,1047,1054,1062,1077,1085,1090,1096,1107,1116,1124,1135,1147,1153,1157,1164,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,9,19,26,41,49,55,59,69,81,87,101,107,114,126,131,138,145,160,166,177,187,319,330,335,348,360,368,372,381,393,401,404,418,426,430,440,597,605,611,619,627,637,647,652,662,675,685,691,698,705,713,726,729,744,754,762,769,778,785,790,804,806,816,824,837,840,855,861,871,878,883,898,907,913,920,931,942,946,953,967,973,978,989,994,1010,1015,1021,1031,1040,1049,1054,1067,1071,1085,1087,1101,1105,1117,1124,1132,1143,1147,1159,1167	0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
5,10,22,28,39,47,57,68,75,79,90,98,106,115,127,130,144,147,161,162,178,181,326,327,339,347,355,364,377,380,389,403,405,416,425,435,441,468,605,614,618,633,640,644,659,666,671,681,689,697,709,715,723,736,745,753,756,765,775,782,791,803,811,817,830,832,846,855,862,874,881,888,895,902,915,918,931,941,944,954,967,969,977,986,994,1007,1010,1019,1034,1040,1052,1058,1066,1077,1081,1095,1100,1109,1120,1129,1131,1147,1151,1164,1167	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,19,31,40,50,55,61,72,84,87,98,103,117,119,128,139,148,161,166,172,184,320,330,341,347,358,362,371,384,391,397,406,418,422,435,445,598,605,617,621,630,641,647,655,663,672,680,688,695,707,718,726,736,746,751,761,768,779,782,789,802,807,819,823,834,844,851,860,873,880,890,895,904,910,923,933,937,945,952,968,973,977,986,995,1004,1016,1022,1033,1042,1050,1061,1065,1078,1082,1096,1104,1105,1116,1127,1132,1147,1149,1162,1169,1178	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0
0,9,19,31,41,51,52,67,74,81,86,94,108,117,121,132,138,145,161,170,177,184,324,333,338,343,358,363,371,381,387,401,406,415,421,430,438,596,607,617,621,634,638,651,659,661,672,679,693,700,708,713,721,733,744,754,758,771,778,784,794,804,811,818,827,839,843,856,863,869,880,888,896,903,911,920,933,936,942,953,962,975,981,989,996,1007,1018,1026,1029,1043,1046,1058,1062,1070,1079,1088,1101,1105,1117,1122,1130,1139,1154,1163,1170,1174	1,0,1,1,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,15,24,32,35,43,52,63,71,80,86,94,106,113,120,133,136,152,160,164,179,315,322,331,337,348,353,365,376,378,387,399,405,420,423,431,445,460,602,610,621,634,641,647,653,668,675,681,691,695,707,716,728,729,742,747,759,768,772,783,791,802,807,820,824,837,847,852,862,872,875,885,894,906,909,924,932,939,944,956,966,969,976,990,1001,1006,1016,1027,1034,1039,1050,1060,1065,1078,1087,1089,1103,1107,1117,1129,1133,1140,1152,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,32,41,44,55,61,74,76,91,95,109,111,123,129,140,149,161,169,175,313,323,332,339,346,352,364,371,386,388,399,408,413,424,434,446,453,602,615,622,629,638,646,657,666,676,685,689,697,709,719,724,735,741,752,757,765,774,786,790,799,808,820,826,836,846,853,857,867,880,889,897,900,915,920,932,937,950,956,965,973,982,985,995,1003,1018,1019,1032,1040,1045,1055,1067,1074,1085,1090,1099,1105,1116,1122,1131,1142,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,23,33,39,51,55,60,74,81,89,97,110,112,125,130,141,148,158,167,172,313,321,330,336,351,352,362,372,382,394,400,410,412,427,435,440,597,609,615,619,633,638,646,655,668,669,684,690,698,706,718,726,733,739,747,758,767,774,787,791,801,808,815,827,838,846,853,863,871,878,887,897,901,909,923,928,940,949,951,965,971,980,986,996,1007,1012,1020,1035,1042,1046,1061,1064,1072,1083,1094,1098,1111,1120,1129,1131,1146,1151,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,29,36,45,52,59,71,78,87,102,104,118,126,130,144,146,158,170,171,314,320,330,337,346,359,363,370,378,394,395,405,416,423,435,446,448,609,612,623,632,635,651,658,662,671,680,690,700,707,715,721,736,745,749,760,768,777,782,794,798,813,820,827,837,848,854,863,871,878,885,895,907,912,923,927,935,944,953,963,968,984,986,1001,1005,1016,1027,1035,1039,1045,1054,1068,1079,1080,1089,1104,1107,1118,1125,1131,1140,1148,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,27,34,49,51,68,70,77,87,99,103,114,119,130,139,153,160,170,178,317,319,333,337,343,359,365,373,381,386,399,405,414,427,436,446,453,607,616,622,628,639,647,660,663,674,681,689,699,708,719,727,729,738,752,759,771,772,788,794,801,813,821,826,834,846,850,861,869,882,884,893,904,911,917,930,941,945,959,965,971,979,988,1002,1007,1019,1022,1029,1044,1045,1055,1069,1077,1084,1093,1101,1106,1119,1126,1131,1140,1148,1156,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,31,37,49,53,63,73,84,89,99,104,115,125,128,138,146,157,163,176,316,319,326,337,346,358,369,373,378,393,395,408,417,422,430,438,466,602,612,622,627,640,645,658,666,670,685,692,696,710,718,724,730,741,754,761,768,774,787,792,800,812,816,828,831,842,848,857,871,880,884,893,906,914,922,932,935,945,957,967,970,980,992,1001,1008,1015,1021,1032,1037,1051,1055,1065,1073,1086,1093,1103,1111,1115,1129,1134,1141,1153,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,28,41,51,58,63,71,79,88,97,106,118,127,135,143,150,154,169,173,313,326,329,341,351,356,367,374,384,388,397,409,417,421,434,440,598,605,615,621,634,638,652,654,664,674,686,694,695,706,718,725,731,743,752,759,764,779,781,796,800,806,822,824,839,845,850,864,870,875,890,893,902,909,918,931,936,943,955,959,974,981,991,999,1005,1014,1024,1035,1037,1049,1059,1069,1070,1082,1093,1096,1106,1113,1126,1131,1145,1149,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,30,40,45,52,67,73,81,88,96,103,117,120,133,144,146,156,164,178,317,318,330,339,350,359,366,373,380,393,398,408,413,422,436,445,457,607,617,623,626,642,645,656,668,676,681,691,703,704,713,727,732,742,748,759,765,775,782,791,805,811,816,829,836,845,851,858,869,875,884,894,900,914,924,928,937,946,957,963,968,978,993,995,1003,1018,1021,1029,1036,1050,1058,1064,1077,1080,1093,1102,1108,1120,1130,1131,1140,1149,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,22,28,39,49,51,59,70,78,90,100,109,113,123,132,143,148,159,164,175,182,321,334,337,349,356,366,369,384,388,402,405,413,422,433,438,600,607,617,619,630,639,645,658,668,674,680,688,702,704,718,728,736,742,750,762,769,775,780,789,797,813,822,830,836,840,850,859,867,875,888,896,904,911,923,931,934,947,957,960,970,981,988,995,1004,1014,1020,1030,1038,1045,1056,1065,1078,1082,1088,1098,1111,1120,1127,1136,1141,1155,1156,1170,1175	0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,12,24,27,37,42,58,66,70,83,89,97,105,118,127,130,139,146,155,167,175,316,320,330,342,343,356,364,374,381,394,398,408,416,428,433,443,600,603,614,622,634,642,644,654,663,671,680,689,700,705,713,721,733,741,749,759,767,778,786,790,800,809,815,826,831,840,853,865,869,875,885,899,900,914,917,928,936,948,958,964,968,983,992,1001,1008,1016,1021,1031,1042,1053,1055,1069,1078,1080,1094,1100,1111,1113,1125,1131,1139,1152,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,22,32,38,47,54,65,72,84,86,98,104,114,125,131,143,153,158,168,173,314,325,330,338,348,356,362,377,379,393,397,404,418,425,431,438,599,604,612,624,630,637,643,656,661,672,678,687,696,711,716,727,732,738,749,760,767,778,784,795,802,811,821,824,836,840,854,857,873,875,887,893,905,915,924,932,936,948,951,963,975,981,987,1000,1002,1017,1025,1028,1043,1049,1061,1070,1076,1086,1090,1096,1105,1117,1129,1132,1144,1149,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,31,39,49,59,65,70,81,92,99,104,116,124,128,137,148,159,169,176,315,320,330,339,344,353,365,373,386,393,402,404,419,425,434,446,600,604,613,619,634,636,650,658,665,669,686,694,701,710,714,727,734,742,749,763,764,772,785,796,801,814,815,826,833,847,852,864,871,877,886,896,903,916,917,929,938,942,953,967,975,977,987,998,1004,1012,1022,1032,1042,1046,1054,1063,1077,1082,1088,1103,1107,1117,1130,1135,1146,1148,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,26,40,46,53,68,70,84,86,97,105,112,123,131,138,145,159,167,175,314,321,332,342,350,356,363,374,386,389,400,409,413,428,434,442,465,608,615,624,632,642,648,657,668,672,680,691,701,710,712,725,730,737,751,758,767,779,782,789,805,811,821,824,834,843,854,859,868,880,886,897,902,910,922,927,939,946,956,965,968,980,990,995,1005,1015,1026,1031,1037,1052,1061,1064,1076,1084,1092,1102,1105,1113,1121,1137,1139,1151,1156,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,25,36,44,51,60,68,77,88,102,107,118,125,128,138,150,157,166,171,183,320,334,338,345,358,365,370,379,391,397,404,416,427,431,440,457,607,617,622,629,640,652,653,663,677,682,692,695,711,712,724,731,737,747,761,764,777,785,795,800,806,814,825,831,844,853,858,866,881,890,894,901,911,922,927,940,949,954,962,971,984,989,997,1003,1010,1022,1030,1043,1047,1056,1063,1075,1080,1090,1103,1113,1114,1129,1137,1143,1153,1161,1166,1177	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,19,32,39,43,52,67,69,84,86,96,110,115,125,135,143,150,160,166,178,315,322,332,338,350,355,361,372,384,390,400,411,416,422,430,440,598,607,612,623,630,641,646,656,664,672,681,691,701,711,713,721,730,745,754,755,764,778,785,794,799,810,819,829,837,847,855,857,872,876,887,892,907,915,922,933,934,944,955,962,974,976,993,994,1004,1019,1027,1035,1039,1049,1061,1066,1074,1082,1096,1097,1109,1121,1122,1131,1143,1152,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,26,36,51,59,67,74,82,88,95,105,113,124,133,142,151,155,168,176,315,319,332,337,346,356,361,375,385,387,401,408,420,429,435,440,454,601,616,618,627,642,649,657,665,672,682,693,699,711,715,725,734,738,750,763,765,772,787,791,802,807,821,828,834,843,850,857,867,875,887,892,908,915,919,928,936,949,951,966,968,978,993,996,1005,1015,1020,1030,1042,1053,1055,1064,1075,1080,1089,1097,1110,1117,1124,1137,1144,1151,1162,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,24,29,37,49,54,67,76,84,86,99,109,114,124,132,141,146,161,170,172,316,325,333,337,351,357,363,371,383,387,401,411,415,423,434,440,600,604,615,623,630,636,650,657,667,670,677,687,701,705,713,724,732,739,751,762,764,779,782,789,803,807,822,828,838,847,854,858,872,875,885,896,901,911,923,929,936,949,957,961,973,981,992,1000,1007,1019,1020,1031,1036,1052,1054,1066,1074,1081,1095,1104,1106,1116,1127,1133,1142,1155,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,27,40,45,56,60,73,82,91,97,102,117,127,131,144,145,159,169,171,317,322,334,342,347,354,367,370,386,387,400,411,416,427,429,442,598,603,610,625,628,637,648,655,669,671,682,688,695,706,713,724,731,745,751,754,767,772,784,793,799,810,819,830,832,840,856,862,867,877,886,897,904,912,924,931,937,948,955,961,974,981,990,1000,1007,1014,1026,1036,1044,1049,1060,1063,1076,1083,1088,1102,1105,1113,1122,1136,1145,1152,1157,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,29,40,50,57,60,71,78,91,101,110,117,127,130,140,146,156,167,173,318,319,330,339,350,360,364,374,379,391,400,408,414,426,433,444,460,603,609,623,628,641,646,652,663,675,683,694,698,708,713,722,731,738,751,754,771,776,781,789,799,810,819,831,833,843,856,858,866,874,888,897,902,911,917,927,939,945,958,965,974,982,989,998,1005,1016,1026,1033,1041,1053,1055,1062,1078,1079,1092,1096,1111,1117,1124,1132,1142,1150,1156,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,32,38,45,59,62,72,81,92,97,107,119,126,135,144,148,161,167,176,316,324,330,341,344,353,365,369,380,387,397,409,414,429,433,440,597,605,610,621,627,640,643,654,668,673,680,693,698,709,712,727,730,742,747,754,771,772,780,796,804,807,816,829,832,846,848,860,873,877,883,893,905,914,924,929,936,945,953,965,976,981,985,994,1004,1017,1026,1035,1043,1047,1054,1065,1072,1081,1094,1102,1113,1114,1122,1131,1144,1149,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,28,36,44,51,62,76,77,92,94,108,111,125,129,143,151,155,163,179,317,321,331,343,352,355,368,375,386,389,402,406,418,420,431,440,461,603,615,620,631,637,652,654,665,674,685,693,700,708,718,726,733,742,752,757,767,772,781,791,805,812,819,824,832,845,854,857,873,881,884,894,906,908,919,933,938,948,951,966,975,985,992,1001,1010,1015,1024,1028,1042,1045,1058,1066,1072,1084,1091,1104,1108,1115,1126,1132,1141,1151,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,17,19,33,35,45,59,60,71,77,90,95,108,112,123,134,139,151,162,164,173,313,318,333,338,347,357,364,377,380,394,402,406,420,427,434,440,449,605,612,619,629,636,651,659,666,675,681,688,695,707,717,721,733,744,749,757,770,772,786,793,800,807,822,829,832,847,852,864,872,875,888,891,901,914,917,929,935,949,953,966,973,985,988,1001,1007,1013,1021,1029,1038,1048,1058,1066,1076,1080,1087,1096,1108,1121,1126,1135,1142,1149,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,25,27,37,43,53,66,76,80,92,96,102,118,122,133,142,147,158,167,179,316,322,332,343,344,355,363,370,378,388,399,410,413,428,437,439,456,602,611,626,633,636,651,657,668,671,678,686,695,709,719,728,729,738,752,761,771,779,783,796,802,807,820,825,837,842,856,864,866,878,889,895,903,908,920,929,941,943,955,961,972,977,987,994,1007,1014,1022,1033,1043,1048,1058,1062,1073,1084,1087,1097,1110,1120,1125,1132,1143,1149,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,28,40,48,58,67,69,77,86,95,108,116,125,131,144,145,157,162,173,315,319,327,341,349,354,364,375,385,392,399,404,418,427,431,443,448,606,614,622,632,636,645,653,661,676,681,691,703,708,716,721,733,742,750,755,765,780,781,793,801,808,822,828,835,842,850,861,871,875,885,898,901,909,923,927,942,944,953,962,976,980,992,998,1008,1016,1026,1029,1036,1053,1061,1065,1074,1084,1093,1104,1112,1117,1124,1134,1141,1152,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,30,38,48,56,66,73,83,88,95,108,113,122,129,138,150,155,162,171,317,322,328,336,343,353,368,371,381,391,402,404,417,421,432,441,461,608,613,625,631,640,645,658,669,674,680,692,699,711,719,728,731,743,754,757,765,775,783,797,801,808,816,825,837,847,856,857,871,877,887,894,905,910,924,929,938,945,954,963,972,978,985,994,1003,1011,1020,1032,1039,1046,1061,1063,1077,1086,1087,1100,1107,1113,1123,1135,1142,1154,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,26,35,43,54,63,72,78,93,95,108,112,121,128,141,149,159,165,170,316,319,333,343,346,353,365,373,378,392,400,410,419,425,430,440,599,606,615,622,633,643,645,655,665,675,678,692,699,705,718,727,730,740,751,762,767,772,783,792,804,813,819,830,835,843,851,861,869,880,886,896,904,915,922,932,934,944,951,965,969,979,989,998,1009,1016,1022,1028,1040,1052,1058,1063,1078,1080,1087,1101,1110,1116,1128,1134,1144,1153,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,29,39,44,54,63,70,82,93,100,106,116,125,131,143,153,157,163,173,189,322,328,338,350,352,361,376,378,387,403,412,414,426,429,446,598,604,611,622,631,638,647,658,664,670,679,692,701,705,712,728,735,740,750,759,766,778,787,789,804,809,820,823,837,840,855,862,873,877,886,896,908,915,919,931,936,944,956,964,972,978,986,993,1009,1019,1020,1036,1037,1048,1061,1065,1072,1079,1092,1097,1109,1117,1122,1131,1147,1155,1161,1171	1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,17,31,42,43,55,61,68,82,91,102,110,111,121,134,137,153,161,165,171,179,323,330,342,350,359,364,373,379,389,397,403,420,428,437,440,461,606,611,620,626,640,646,653,667,674,685,694,703,709,713,722,735,742,754,759,771,772,783,792,802,807,822,831,839,844,852,865,866,880,883,898,903,916,920,926,937,943,959,965,974,981,987,1000,1002,1013,1023,1029,1040,1047,1061,1064,1073,1084,1094,1097,1105,1116,1127,1133,1143,1149,1162,1166,1175	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,20,27,35,47,55,66,71,77,91,95,109,118,122,133,139,153,157,169,176,189,321,331,340,349,357,364,371,380,389,400,405,415,425,434,440,450,608,610,622,629,639,651,652,665,676,684,693,696,708,713,722,731,744,749,757,764,778,782,797,804,808,817,828,834,842,848,858,870,881,884,896,901,914,918,931,936,943,951,962,970,982,988,995,1004,1014,1023,1032,1037,1051,1053,1062,1079,1085,1092,1103,1108,1115,1129,1132,1146,1148,1162,1165,1174	0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,23,33,41,44,57,63,73,78,86,100,105,116,126,129,143,147,161,167,175,179,324,328,336,351,354,365,374,384,387,395,411,414,427,435,442,597,608,610,619,634,640,649,653,668,672,679,693,701,708,714,722,731,739,752,755,766,776,786,795,800,812,816,824,835,843,853,857,867,879,888,894,907,909,917,930,941,950,955,961,974,978,990,999,1009,1017,1025,1029,1037,1048,1058,1063,1078,1086,1088,1104,1107,1118,1128,1137,1147,1149,1159,1168,1176	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
8,11,18,28,40,44,57,60,71,84,85,101,106,116,123,130,145,147,156,168,173,182,320,329,340,351,354,365,373,378,388,400,405,417,420,435,440,600,603,617,626,631,637,645,658,664,670,684,692,700,707,719,723,734,743,750,761,766,779,785,794,798,809,815,830,833,845,852,865,871,875,885,892,903,912,923,929,940,947,959,962,971,978,985,998,1005,1014,1021,1033,1042,1049,1054,1067,1075,1085,1088,1099,1107,1121,1122,1132,1140,1151,1163,1170,1174	0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,24,28,40,42,52,67,75,80,88,95,103,115,122,129,143,148,158,170,178,181,324,335,341,344,357,365,376,385,386,401,404,416,428,437,444,600,608,609,619,634,638,647,653,663,670,684,687,697,711,720,726,732,744,750,759,764,774,786,794,802,806,818,827,837,840,856,858,870,881,887,899,900,911,919,927,940,947,956,960,976,980,987,999,1007,1010,1021,1034,1044,1047,1061,1070,1076,1082,1088,1100,1112,1114,1130,1138,1140,1150,1158,1169,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,9,20,32,41,49,52,66,69,78,93,101,110,113,123,131,137,152,158,168,177,183,322,330,341,345,352,365,370,380,387,401,406,413,429,432,438,460,608,613,620,631,637,645,656,662,671,678,694,695,711,719,722,729,741,748,760,766,772,785,792,800,809,817,825,831,848,856,862,870,876,882,898,906,910,924,931,939,945,958,963,976,984,989,1000,1002,1018,1024,1031,1039,1053,1058,1068,1073,1081,1093,1100,1107,1121,1124,1132,1146,1153,1164,1171	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,19,27,36,43,51,60,73,84,89,102,105,111,120,134,137,150,162,164,178,188,321,332,335,344,359,366,375,381,386,401,405,414,420,431,443,597,602,616,625,631,643,650,657,663,671,679,691,700,704,713,725,732,744,746,756,768,778,782,794,803,806,819,826,833,843,853,861,871,874,882,895,904,911,916,929,934,943,957,962,969,978,992,1000,1006,1015,1022,1034,1041,1049,1055,1069,1070,1083,1094,1101,1107,1119,1124,1135,1139,1155,1157,1168	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,11,19,29,36,46,53,59,71,82,85,95,103,115,119,134,143,152,155,163,179,317,326,335,336,345,353,367,370,378,392,397,405,414,421,436,442,470,603,617,624,629,642,645,657,662,675,684,691,698,708,715,727,729,743,749,756,766,771,786,789,805,806,818,828,835,840,853,864,873,874,884,897,906,916,922,927,937,946,956,962,969,983,988,995,1010,1018,1025,1032,1043,1050,1054,1067,1078,1083,1089,1098,1108,1120,1123,1132,1147,1150,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,25,34,47,55,63,72,80,93,99,104,116,125,136,140,148,161,167,171,184,325,333,335,344,354,361,374,378,390,397,407,419,425,432,438,451,604,611,625,633,640,651,658,668,670,681,689,700,703,717,724,732,738,751,755,765,776,780,790,801,808,820,828,833,841,852,858,866,878,890,894,907,913,924,933,936,947,954,962,975,979,991,999,1007,1013,1023,1033,1036,1050,1060,1064,1074,1084,1091,1103,1113,1120,1123,1131,1141,1148,1161,1170	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,23,34,37,45,53,63,70,84,88,99,105,113,125,131,137,150,159,169,178,189,324,327,339,344,355,365,371,385,394,397,408,413,427,435,439,599,604,616,625,630,639,649,657,664,674,680,693,697,707,715,726,735,742,748,760,763,777,785,795,799,808,819,830,834,845,850,865,866,875,886,891,901,908,921,927,942,949,952,962,970,978,988,994,1008,1013,1025,1035,1043,1048,1060,1063,1076,1084,1092,1101,1105,1116,1123,1131,1146,1148,1161,1170,1173	1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
2,9,21,26,41,46,53,67,69,83,92,94,108,114,122,131,139,151,157,164,170,191,321,330,337,350,355,365,373,378,389,401,406,413,429,430,439,468,609,614,622,631,641,651,655,662,669,683,693,696,709,716,723,734,737,753,756,768,778,781,796,803,807,821,825,833,844,849,859,873,880,890,892,903,910,922,929,936,943,954,961,969,980,987,998,1003,1015,1023,1030,1037,1047,1057,1064,1076,1083,1091,1096,1108,1121,1127,1136,1144,1155,1156,1167,1175	0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,24,31,38,44,57,62,74,79,85,97,103,112,123,135,138,150,161,163,177,191,325,334,335,352,360,362,369,386,388,399,411,412,422,430,438,469,606,610,619,631,643,646,652,668,674,684,693,695,705,713,720,729,738,751,756,767,776,781,793,799,809,820,829,836,847,850,858,871,882,890,891,905,910,925,930,935,945,959,963,973,982,986,999,1007,1015,1027,1034,1038,1050,1059,1069,1075,1086,1094,1104,1112,1118,1125,1134,1143,1155,1157,1168,1178	1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,19,28,36,45,53,65,73,80,91,95,103,115,125,130,143,150,159,167,178,189,322,333,342,349,358,366,377,380,387,395,410,414,423,435,443,598,604,609,623,627,640,647,653,667,671,679,691,702,708,711,724,735,744,752,761,767,772,788,793,799,810,819,824,838,848,853,859,871,877,886,897,905,910,918,933,937,943,954,966,968,983,985,993,1008,1019,1025,1033,1037,1046,1061,1062,1074,1086,1092,1102,1113,1121,1127,1130,1143,1150,1160,1168,1176	1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,20,28,35,48,53,65,76,79,88,101,103,112,127,130,143,146,155,166,172,184,319,333,337,349,358,363,375,382,386,398,409,416,427,436,439,600,601,612,624,631,642,648,656,668,677,680,691,699,711,712,721,737,742,748,763,769,773,788,796,802,811,820,824,833,845,856,859,869,880,888,892,908,912,918,927,940,950,957,966,975,980,985,1000,1009,1016,1020,1035,1044,1052,1055,1067,1077,1083,1088,1100,1106,1118,1126,1131,1146,1154,1158,1172,1175	1,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
2,8,18,28,41,48,58,65,76,84,86,95,109,112,127,132,145,148,161,162,174,317,325,327,340,345,360,363,369,384,389,397,409,420,427,437,445,599,605,612,619,627,639,651,660,666,671,683,691,699,705,716,723,730,745,751,762,769,775,781,793,797,810,816,828,836,840,853,865,868,881,884,899,901,911,918,929,935,946,955,960,971,980,988,996,1007,1014,1021,1032,1039,1048,1060,1069,1077,1082,1091,1103,1112,1113,1128,1137,1144,1152,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,26,36,48,53,63,70,84,86,96,102,113,119,133,140,150,157,163,171,315,323,332,341,347,352,364,369,386,388,400,404,412,422,430,443,598,602,612,620,629,641,647,653,661,676,684,687,700,707,712,721,729,744,750,761,768,778,781,795,804,810,822,825,837,842,855,860,872,881,890,892,900,910,918,928,935,943,954,961,969,976,988,1000,1010,1014,1021,1031,1038,1045,1059,1068,1073,1084,1089,1100,1112,1120,1125,1133,1147,1150,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,31,40,46,56,63,68,78,91,98,109,115,125,133,144,145,155,163,171,313,324,328,342,347,359,366,370,381,390,398,410,413,423,433,440,469,606,613,621,631,640,648,655,668,674,681,690,702,706,713,728,737,746,752,756,765,779,781,792,803,813,815,828,834,845,849,864,871,878,887,899,904,912,917,926,934,950,952,961,973,983,988,1001,1009,1012,1021,1035,1043,1053,1060,1064,1078,1081,1091,1103,1109,1118,1122,1134,1145,1149,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,22,29,34,49,56,65,75,79,87,97,103,113,126,135,137,152,154,168,171,314,326,330,339,344,355,364,377,381,394,395,405,418,424,432,442,454,605,613,619,627,643,646,659,662,669,682,688,698,707,719,727,730,739,751,762,763,776,783,796,800,814,821,827,831,840,851,864,869,877,884,892,906,908,924,931,934,948,957,963,971,984,990,996,1006,1017,1021,1029,1041,1050,1055,1065,1075,1085,1095,1096,1113,1120,1123,1135,1142,1152,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,22,33,41,43,58,61,75,84,93,98,110,117,123,134,138,149,157,168,177,315,324,328,341,351,354,369,377,380,393,395,411,416,421,436,440,600,602,610,621,631,643,649,658,669,675,680,691,699,703,714,728,733,744,748,761,767,774,783,795,801,806,816,825,833,847,854,857,869,876,886,892,906,913,922,928,937,944,957,965,971,982,987,997,1009,1013,1025,1033,1037,1053,1057,1066,1070,1085,1093,1104,1107,1120,1124,1136,1142,1148,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,28,42,43,51,67,70,79,93,100,103,115,127,134,141,152,161,163,173,316,320,327,340,346,354,365,375,380,393,401,410,419,426,437,440,447,602,610,618,632,643,650,653,667,675,679,691,696,704,714,721,737,741,748,755,766,776,788,789,800,806,819,827,832,845,854,861,870,874,890,893,906,913,919,932,939,948,958,962,975,977,993,1000,1008,1015,1025,1035,1044,1052,1057,1066,1078,1084,1091,1096,1110,1117,1123,1138,1146,1155,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,26,37,42,56,64,74,79,89,98,107,116,124,131,139,149,157,165,178,313,322,333,340,348,358,369,377,381,393,402,404,415,423,434,444,599,607,612,620,628,640,649,655,667,675,680,694,699,703,715,728,729,738,747,756,767,779,785,796,804,807,820,826,836,848,853,857,867,877,889,894,904,910,919,932,941,946,959,962,972,981,989,997,1006,1016,1024,1031,1037,1052,1054,1065,1078,1079,1090,1103,1107,1115,1125,1138,1140,1147,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,26,35,44,53,59,70,81,87,99,108,111,120,135,144,147,156,162,173,317,326,330,336,345,352,367,369,385,393,399,410,420,428,430,445,599,605,613,626,627,635,648,654,669,670,684,694,698,707,718,723,734,741,752,757,764,773,782,790,801,806,817,825,838,840,854,862,865,881,888,893,904,912,922,927,940,949,956,960,972,979,990,994,1010,1011,1021,1028,1043,1047,1059,1062,1073,1083,1091,1097,1110,1120,1129,1137,1140,1155,1157,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,21,26,34,47,54,67,71,78,86,96,103,111,121,132,137,146,155,170,179,185,321,332,343,352,358,366,374,383,393,401,408,415,428,434,444,596,603,611,618,634,639,645,654,668,669,682,691,699,710,718,727,734,744,751,762,763,780,787,789,801,810,816,823,836,841,851,862,866,877,889,892,900,914,922,928,940,943,956,964,973,979,987,997,1003,1011,1020,1032,1038,1045,1059,1069,1072,1087,1093,1100,1110,1115,1121,1134,1144,1151,1161,1168	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
7,17,24,30,39,50,55,62,73,84,92,96,104,113,120,128,142,150,160,162,171,317,320,327,340,350,357,367,372,382,391,398,407,416,423,437,441,600,608,613,625,632,640,644,660,666,672,679,693,700,706,712,721,737,740,748,756,763,778,780,793,797,813,821,824,835,846,856,862,872,881,889,893,903,916,917,928,939,944,955,967,971,977,992,994,1007,1015,1027,1029,1044,1047,1058,1062,1078,1085,1092,1098,1111,1120,1124,1136,1142,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,30,39,46,52,62,76,78,93,97,110,115,124,132,145,148,155,163,177,313,322,334,339,348,360,363,371,380,395,403,406,412,424,434,437,599,608,610,624,628,642,644,660,661,671,685,692,701,704,713,724,736,738,746,759,769,772,788,794,805,808,816,826,831,846,850,865,872,876,890,894,906,908,922,929,941,949,955,966,974,981,992,994,1007,1018,1026,1030,1036,1052,1059,1064,1071,1086,1088,1103,1108,1120,1127,1135,1142,1151,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,26,36,47,57,68,73,81,91,94,105,113,126,135,141,148,158,162,178,315,324,329,336,344,352,364,374,385,390,403,405,413,421,430,439,468,609,614,620,627,637,652,653,665,675,681,689,703,708,718,721,737,738,751,755,766,776,783,790,804,808,818,827,834,844,851,863,867,878,887,899,904,916,924,929,934,944,953,964,968,982,991,996,1009,1011,1026,1032,1036,1045,1059,1067,1072,1082,1091,1099,1113,1114,1124,1132,1146,1151,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,28,42,48,52,67,69,84,89,98,110,117,125,129,143,150,160,168,177,316,323,330,342,350,359,361,370,384,387,402,404,414,426,433,439,599,608,616,624,634,638,646,656,663,675,685,690,698,706,715,724,731,743,747,759,763,778,781,793,800,808,821,830,838,847,855,858,865,881,889,893,900,908,917,929,937,944,952,962,972,982,992,998,1007,1016,1024,1029,1037,1049,1054,1064,1072,1086,1088,1098,1112,1120,1129,1134,1139,1153,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,20,26,39,45,57,67,69,85,90,95,108,118,123,131,137,146,159,163,171,315,318,329,338,346,360,363,370,386,391,398,410,419,429,436,439,598,606,617,626,630,640,648,659,663,669,684,690,696,710,718,722,729,738,749,758,766,774,788,793,801,813,814,829,836,846,849,862,865,875,883,899,905,908,923,926,936,945,951,963,973,980,993,994,1002,1014,1019,1030,1038,1046,1061,1064,1073,1079,1090,1102,1111,1116,1128,1132,1146,1153,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,20,32,40,43,58,59,76,81,86,101,104,113,121,129,136,151,155,168,172,318,325,333,335,352,353,368,373,384,389,398,405,419,427,437,441,598,605,612,619,632,638,643,654,668,672,680,692,702,705,716,723,731,744,747,755,770,772,783,795,797,809,820,829,835,841,851,857,873,881,883,896,907,915,917,929,941,949,952,961,969,981,987,1000,1002,1014,1026,1032,1037,1045,1055,1067,1072,1080,1088,1101,1112,1119,1122,1130,1140,1147,1161,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,17,32,34,46,55,63,69,77,86,97,108,111,127,130,138,147,159,164,175,317,321,327,337,343,354,369,374,386,392,402,411,418,422,435,438,598,602,611,622,629,641,651,654,669,671,682,690,700,710,715,722,731,742,748,759,766,772,784,790,801,810,814,825,834,843,849,858,873,876,888,898,900,915,922,933,940,943,951,962,974,981,988,999,1007,1016,1024,1030,1039,1049,1059,1064,1074,1085,1090,1097,1112,1118,1125,1132,1146,1149,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,32,41,43,59,63,72,85,93,102,106,113,125,136,142,148,160,169,171,315,325,332,339,347,356,369,375,386,389,399,405,412,421,434,440,597,601,616,623,629,638,644,654,662,674,684,694,702,708,719,727,729,739,754,762,771,779,782,795,802,810,815,826,838,844,850,861,866,880,888,893,906,913,917,931,937,944,951,967,969,981,988,996,1007,1013,1020,1032,1043,1048,1059,1065,1078,1085,1090,1096,1107,1120,1122,1131,1141,1148,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,23,26,42,43,55,60,75,80,91,101,104,117,126,128,140,146,160,169,175,313,321,330,338,351,353,369,376,384,389,400,407,415,421,431,443,448,608,614,625,629,643,644,656,667,676,682,687,697,709,718,722,735,737,754,763,769,776,781,791,799,814,820,831,837,840,849,861,872,878,883,894,900,909,922,929,935,943,953,965,975,983,988,994,1009,1017,1026,1036,1040,1051,1060,1062,1073,1081,1088,1102,1112,1113,1130,1131,1145,1150,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,23,28,40,43,58,63,73,85,92,97,109,111,121,134,144,147,160,169,178,316,321,332,337,345,356,366,372,386,392,398,411,413,423,435,439,596,601,617,620,632,636,646,659,665,676,686,687,699,709,714,727,736,744,749,759,768,774,784,792,804,809,821,829,836,846,850,861,869,879,886,897,905,911,918,927,939,944,954,967,974,977,989,994,1002,1012,1020,1034,1038,1046,1054,1069,1072,1086,1088,1098,1110,1121,1128,1131,1144,1148,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,31,36,44,54,60,71,79,89,102,106,114,125,130,144,152,154,167,176,315,326,335,340,345,355,362,375,381,390,397,411,418,423,436,442,465,608,615,618,633,637,649,658,665,676,680,687,701,705,717,726,734,739,749,762,768,780,783,789,803,811,817,823,832,847,856,859,872,880,884,899,902,914,917,928,934,950,955,965,968,985,988,999,1008,1016,1024,1036,1038,1047,1055,1067,1075,1080,1094,1102,1105,1120,1126,1132,1140,1155,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,29,38,48,53,65,70,79,87,100,106,113,124,132,142,149,156,164,171,314,320,327,339,350,354,363,371,381,392,398,409,416,427,430,440,597,602,615,620,629,635,649,656,668,677,679,688,697,711,715,721,736,742,753,761,767,773,781,795,797,813,817,830,832,847,853,859,869,880,889,891,903,908,925,928,941,942,952,964,975,977,990,997,1003,1015,1027,1031,1038,1050,1056,1070,1072,1087,1088,1102,1112,1113,1124,1132,1146,1150,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,30,37,50,55,67,71,81,86,99,104,115,124,131,144,153,155,166,174,314,324,329,340,349,354,368,373,386,387,397,405,418,422,434,443,467,608,616,622,634,642,649,654,661,670,680,694,695,707,718,728,733,744,753,756,767,774,787,794,798,808,818,828,839,847,855,862,870,874,882,895,901,912,917,930,940,949,957,961,974,981,990,999,1008,1012,1027,1034,1041,1048,1059,1062,1076,1079,1094,1098,1110,1116,1125,1135,1142,1147,1158,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,33,42,43,56,67,74,81,91,101,108,115,119,130,143,148,157,167,175,317,326,331,341,350,359,365,375,380,394,403,407,414,422,436,445,599,603,611,621,634,640,649,658,667,672,683,688,697,704,720,724,732,738,748,754,771,780,786,788,798,806,821,831,835,845,853,860,873,882,889,899,904,914,918,932,935,950,959,962,973,984,991,999,1004,1015,1025,1034,1044,1050,1055,1062,1074,1085,1091,1101,1112,1115,1130,1135,1145,1153,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,33,40,46,53,61,68,79,89,99,107,116,123,135,140,148,160,165,173,314,323,334,338,349,356,364,372,383,388,401,409,419,426,435,439,597,608,611,618,633,643,646,655,667,673,678,692,695,703,718,724,734,738,752,755,768,776,781,789,800,813,816,825,831,840,853,860,869,880,886,892,899,912,918,928,936,949,956,964,972,977,993,999,1003,1018,1026,1034,1037,1050,1060,1066,1075,1085,1093,1102,1108,1118,1122,1137,1146,1152,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,30,37,47,52,62,68,81,93,97,102,113,123,134,144,153,156,163,178,317,320,329,335,345,359,368,370,378,390,403,406,413,427,433,439,600,603,615,625,631,641,647,656,663,673,679,693,701,703,718,725,729,738,749,760,771,777,781,790,801,809,817,831,834,845,854,857,866,882,889,892,902,908,916,928,941,950,954,965,972,979,989,1000,1006,1012,1020,1028,1044,1046,1060,1062,1074,1081,1093,1097,1110,1117,1123,1133,1143,1150,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,31,38,51,56,64,73,81,91,98,110,111,121,132,137,148,157,163,177,316,319,332,339,344,355,366,373,385,390,401,404,420,425,434,443,599,604,617,625,628,643,644,659,664,674,685,690,702,703,715,720,736,739,754,759,764,777,784,789,803,812,820,830,832,846,854,863,869,877,888,896,901,909,919,928,938,946,955,961,975,979,987,998,1010,1011,1020,1031,1036,1051,1061,1067,1075,1084,1094,1100,1113,1119,1129,1133,1142,1150,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,24,32,35,46,55,62,74,83,92,101,106,116,123,134,143,149,156,163,177,180,321,327,337,352,353,366,374,383,393,399,406,413,422,435,446,454,602,610,619,627,637,646,652,663,669,679,694,696,707,719,721,729,745,747,756,767,778,787,790,798,813,819,826,838,840,853,865,868,877,889,893,904,914,917,927,937,949,952,962,970,978,988,998,1004,1018,1023,1034,1040,1045,1055,1064,1074,1083,1095,1096,1104,1119,1127,1135,1145,1154,1163,1172	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
1,14,23,31,41,49,55,66,72,84,87,94,103,119,122,128,144,147,156,168,177,180,325,327,336,347,360,363,376,383,388,396,408,416,426,436,441,599,601,611,618,628,637,647,653,664,670,678,690,698,710,716,720,736,741,749,758,771,779,786,794,804,807,814,823,834,843,852,864,867,874,884,898,903,911,918,925,940,947,953,967,971,981,986,998,1006,1013,1022,1029,1042,1050,1054,1069,1071,1086,1094,1097,1109,1115,1126,1137,1142,1147,1163,1168,1176	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,21,28,35,45,54,61,70,83,87,100,108,117,120,133,145,149,156,167,177,191,324,335,342,348,353,368,370,383,387,398,410,413,424,434,438,598,608,609,620,627,637,644,659,661,673,682,687,700,705,714,727,734,739,754,755,769,777,781,794,800,809,819,825,836,842,851,865,869,880,885,899,902,910,918,931,935,944,958,960,971,981,993,997,1004,1012,1019,1031,1044,1052,1055,1068,1078,1079,1089,1097,1104,1114,1126,1133,1140,1155,1161,1164	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,24,29,42,44,58,65,74,83,92,99,106,113,127,128,144,151,159,164,178,188,324,330,341,346,356,361,372,385,387,402,411,416,420,437,443,599,607,615,626,629,641,648,654,663,669,683,689,700,705,720,724,729,738,754,756,771,772,780,788,797,807,821,828,837,843,854,861,873,876,887,898,908,909,918,928,939,948,958,966,976,979,993,996,1006,1019,1020,1034,1039,1051,1055,1063,1071,1085,1091,1097,1110,1115,1129,1130,1142,1150,1158,1168,1174	0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,13,17,30,40,46,54,67,69,82,89,101,105,112,127,129,141,151,159,163,177,211,319,334,341,348,358,368,372,383,393,395,406,415,424,434,444,449,602,615,619,629,637,647,653,668,670,679,688,701,705,715,728,732,743,749,761,771,772,784,793,803,809,822,826,832,842,853,863,873,882,886,894,903,909,919,929,939,944,953,962,969,976,989,994,1005,1018,1027,1028,1041,1045,1055,1070,1074,1082,1094,1097,1106,1114,1122,1136,1147,1151,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,11,21,30,34,50,51,60,76,81,90,95,107,117,125,130,141,148,159,168,173,188,325,334,337,344,359,363,373,378,391,400,410,419,422,435,441,598,604,613,624,631,641,650,652,663,675,682,693,701,706,718,727,734,742,746,761,766,776,786,789,805,813,822,826,831,846,852,857,868,881,887,898,901,914,924,930,940,950,955,959,970,982,993,995,1003,1012,1027,1035,1036,1045,1058,1063,1074,1081,1092,1100,1112,1116,1128,1136,1144,1153,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,23,33,36,46,59,60,69,83,92,101,104,117,126,133,137,151,160,163,172,184,325,331,337,346,360,367,369,383,389,400,408,418,428,435,446,599,602,609,621,628,642,646,653,663,674,685,686,696,705,714,724,733,742,753,757,767,777,781,795,802,814,822,829,835,847,856,858,871,878,890,895,901,914,920,927,934,946,956,965,968,978,987,999,1010,1011,1023,1033,1042,1051,1058,1064,1078,1085,1095,1096,1111,1117,1128,1131,1139,1148,1156,1165,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,10,18,32,36,50,54,67,71,80,89,98,106,113,128,130,144,146,157,166,173,186,324,331,335,348,355,368,376,380,390,400,404,418,426,436,442,600,606,612,625,627,636,645,655,666,669,683,686,695,704,713,721,730,741,752,761,768,777,786,791,797,809,816,830,834,840,855,865,868,882,891,899,907,912,917,929,939,942,952,960,971,982,992,994,1003,1012,1022,1029,1044,1049,1053,1070,1072,1081,1095,1102,1112,1120,1126,1131,1144,1155,1157,1169,1176	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,19,29,40,50,58,67,76,80,87,97,106,119,126,130,141,152,153,167,170,314,321,329,337,350,359,369,375,381,392,397,411,417,422,431,444,468,602,611,625,632,636,645,653,666,673,681,694,697,707,719,727,730,737,748,756,763,779,784,790,801,808,821,828,838,842,850,863,868,881,885,896,901,913,922,929,938,944,958,960,974,980,990,994,1007,1015,1025,1029,1039,1050,1053,1068,1070,1086,1096,1097,1109,1119,1123,1132,1141,1150,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,19,29,40,46,55,60,73,83,93,102,108,113,127,132,143,150,159,163,179,183,324,332,336,350,352,368,376,380,392,397,406,413,426,431,439,599,607,616,624,629,635,649,653,665,670,681,688,697,711,719,722,732,744,748,760,771,775,782,789,797,813,820,823,839,848,850,861,866,880,888,896,906,908,918,925,934,943,953,967,975,978,989,1002,1010,1014,1022,1029,1041,1048,1055,1065,1073,1080,1088,1102,1108,1118,1128,1136,1142,1148,1156,1171,1176	1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,8,22,28,36,48,51,68,69,84,85,94,102,114,122,136,143,150,159,164,171,180,323,333,343,347,357,369,373,386,391,399,405,413,422,429,445,598,604,612,620,634,640,649,660,667,675,684,694,696,706,719,724,737,743,750,757,770,774,785,789,804,809,814,827,833,844,856,860,872,880,886,895,900,908,924,927,942,949,955,967,972,983,990,999,1002,1017,1027,1034,1044,1052,1054,1063,1071,1085,1089,1098,1110,1116,1122,1133,1145,1152,1162,1168	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,11,24,32,38,51,56,63,74,78,85,96,103,115,122,130,139,147,155,166,177,194,318,329,341,345,358,368,374,383,394,396,408,416,426,432,444,465,601,617,625,633,640,650,655,665,677,678,689,699,707,715,728,730,741,754,763,771,774,784,791,803,808,815,829,833,844,856,860,867,876,884,891,901,914,924,932,937,943,957,963,974,979,989,1001,1008,1011,1019,1035,1037,1046,1061,1062,1074,1083,1088,1100,1111,1117,1122,1137,1142,1152,1161,1171,1175	1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,23,28,39,43,51,61,68,80,90,98,108,115,121,135,136,149,161,164,172,187,320,332,341,350,358,361,372,381,391,401,406,416,428,434,438,599,605,612,621,628,635,650,654,665,671,680,688,702,704,717,728,733,740,746,759,763,775,784,796,805,809,817,829,836,842,855,857,869,878,891,893,907,910,921,932,937,950,955,964,974,981,986,999,1009,1017,1024,1033,1044,1049,1055,1066,1079,1084,1088,1096,1109,1121,1122,1135,1141,1153,1156,1172,1176	0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,23,33,34,43,57,61,70,80,88,94,104,111,120,134,136,149,160,168,173,195,323,333,342,349,354,367,375,382,389,401,406,418,424,432,444,466,607,615,624,632,635,649,659,668,673,681,692,701,708,720,722,734,742,746,759,764,774,783,796,802,809,818,830,832,847,849,861,870,878,886,898,901,909,919,930,939,949,952,966,970,983,989,1001,1007,1016,1023,1030,1037,1046,1055,1068,1078,1087,1094,1096,1109,1119,1122,1131,1141,1155,1159,1166,1173	1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
3,11,24,32,38,44,53,68,70,78,92,97,103,111,123,136,137,146,160,168,178,182,325,334,341,345,359,361,375,385,389,395,405,419,425,430,438,467,602,614,622,629,638,644,658,662,675,678,693,701,707,717,728,730,744,748,761,766,772,787,791,802,808,816,823,835,844,851,861,867,879,886,893,906,911,918,929,934,950,954,963,975,983,988,994,1010,1012,1021,1034,1038,1048,1055,1066,1075,1079,1093,1099,1106,1113,1123,1136,1145,1152,1160,1165	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,8,21,29,34,50,51,66,68,79,91,95,103,118,122,129,141,150,161,170,171,317,321,331,340,345,354,363,370,379,387,395,408,412,421,434,440,596,607,609,620,629,642,648,658,664,671,678,688,703,705,720,722,732,744,754,758,766,771,785,792,799,810,816,828,831,842,849,860,873,881,884,892,903,911,921,932,941,944,951,966,972,977,988,994,1004,1016,1026,1032,1039,1051,1053,1070,1078,1083,1089,1102,1108,1120,1125,1133,1145,1150,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,27,41,47,53,63,72,78,92,98,107,119,127,131,145,151,156,166,176,316,320,329,339,348,358,361,375,380,394,398,408,415,425,429,440,599,605,610,621,628,640,646,652,668,676,683,686,703,704,716,720,732,745,753,760,765,776,781,790,797,810,822,823,833,840,850,857,866,874,883,896,903,915,923,932,936,946,957,960,971,977,989,999,1009,1014,1027,1035,1042,1048,1058,1066,1072,1086,1089,1101,1112,1115,1122,1136,1142,1150,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,30,40,47,53,66,74,77,86,97,109,116,123,134,143,146,158,170,175,317,325,326,336,351,355,367,369,385,393,397,410,417,421,432,441,596,602,612,623,627,635,647,655,662,673,682,686,698,704,714,728,731,743,748,761,763,773,783,789,802,809,822,829,833,845,856,862,871,879,889,897,907,914,918,932,939,945,951,966,973,977,992,999,1004,1013,1022,1031,1041,1046,1055,1069,1074,1080,1090,1100,1106,1116,1123,1136,1146,1153,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,26,36,49,53,60,72,80,93,99,102,114,121,132,143,152,158,163,174,315,319,329,336,345,356,365,374,381,390,401,411,417,421,429,440,457,606,616,624,632,641,644,656,665,669,686,688,700,710,713,727,730,742,747,757,764,773,782,792,802,814,822,824,833,841,856,864,868,877,887,891,908,915,922,926,940,944,956,968,972,979,991,1001,1006,1016,1024,1029,1039,1048,1057,1067,1070,1081,1088,1097,1111,1117,1126,1137,1145,1153,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,19,27,38,50,51,65,69,80,91,94,109,115,121,131,138,148,157,166,174,316,326,328,340,344,357,364,369,384,395,401,405,416,424,430,441,597,608,611,620,632,636,644,654,667,672,680,687,699,703,715,728,731,743,751,762,768,775,780,793,799,808,820,829,833,843,848,862,872,880,887,897,904,910,921,928,938,945,954,965,971,984,993,998,1008,1012,1023,1036,1039,1050,1060,1063,1072,1082,1088,1096,1111,1120,1124,1135,1146,1152,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,33,37,47,57,63,68,80,85,101,103,118,122,136,142,147,154,163,176,315,324,334,341,351,353,365,375,384,394,402,404,413,421,433,445,466,609,615,622,631,641,644,652,666,674,677,693,697,703,715,721,731,739,752,761,768,776,784,789,804,812,822,829,837,841,853,859,873,879,888,897,906,915,924,933,936,943,952,967,970,982,986,997,1005,1011,1025,1033,1041,1053,1054,1062,1072,1081,1093,1101,1112,1121,1123,1133,1144,1151,1162,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,26,36,49,58,66,72,82,90,101,104,111,120,131,139,145,158,162,174,318,320,334,339,351,358,362,372,385,392,398,404,414,421,431,445,460,605,616,618,632,639,652,653,663,673,685,693,696,708,716,727,736,737,751,756,768,776,781,795,804,812,815,830,833,845,853,858,872,878,886,897,905,911,924,930,941,943,953,961,975,983,991,1001,1007,1014,1021,1033,1044,1046,1055,1066,1073,1083,1091,1096,1106,1119,1126,1130,1142,1152,1157,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,21,28,37,43,59,66,69,78,90,100,103,111,123,136,138,147,160,170,174,316,320,329,343,344,353,365,374,385,388,396,411,418,428,432,443,455,603,610,618,627,640,650,660,665,675,681,692,701,709,717,724,731,742,753,755,766,774,787,793,797,813,815,822,832,844,854,859,869,880,889,896,902,915,917,929,936,950,954,961,970,982,986,998,1006,1013,1026,1028,1044,1048,1060,1067,1078,1081,1087,1097,1111,1120,1123,1138,1142,1150,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,25,30,38,49,52,61,68,84,89,100,103,118,121,134,144,151,155,164,172,181,326,335,337,345,357,366,378,379,387,395,409,414,428,434,445,598,608,617,621,630,637,649,652,668,673,680,688,703,707,714,728,736,743,754,760,765,776,782,794,800,811,821,828,834,844,856,859,866,879,882,896,905,915,918,933,941,948,955,964,969,977,990,998,1006,1019,1023,1033,1039,1051,1055,1067,1070,1086,1095,1102,1106,1120,1122,1130,1142,1153,1158,1165,1176	1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,24,28,40,48,59,67,69,79,88,100,103,117,123,134,144,150,158,168,177,315,324,328,343,349,353,367,372,378,394,399,403,418,423,436,439,599,604,613,625,628,637,645,653,666,672,684,686,702,707,717,729,733,740,748,755,764,774,788,794,805,807,815,823,834,843,851,859,867,879,890,898,901,914,919,933,936,943,959,965,970,976,990,1000,1004,1014,1022,1030,1040,1045,1055,1068,1076,1085,1093,1104,1105,1119,1123,1138,1145,1155,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,17,29,39,45,56,62,75,77,85,97,102,116,124,132,141,148,159,166,174,313,319,328,340,350,354,367,373,380,387,402,412,419,428,432,446,460,602,617,620,630,642,644,652,668,677,685,694,695,703,715,722,731,740,751,763,768,775,780,792,805,807,815,823,838,847,854,859,868,879,890,893,905,916,917,927,936,945,955,967,971,984,991,994,1005,1016,1024,1035,1041,1049,1060,1066,1078,1082,1094,1102,1109,1118,1127,1132,1145,1151,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,27,40,44,53,61,69,79,92,102,106,112,123,135,137,149,156,162,173,313,324,327,340,350,355,366,374,383,386,398,411,417,422,436,441,470,601,614,626,631,642,649,657,667,673,684,692,695,704,719,721,731,737,752,762,766,777,783,794,805,808,817,827,838,847,853,861,867,876,889,898,902,912,924,928,939,948,954,967,973,978,992,1002,1003,1017,1024,1035,1037,1048,1055,1063,1075,1083,1095,1098,1107,1113,1128,1135,1146,1155,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,19,31,41,44,55,63,75,77,91,100,110,114,121,130,141,152,154,165,172,318,324,328,342,343,360,362,375,382,393,395,407,419,421,433,441,598,605,613,621,631,637,644,657,660,674,682,691,701,704,714,724,732,738,751,759,765,778,785,790,804,806,819,827,839,847,857,862,868,876,889,898,903,911,917,927,939,944,951,965,968,980,986,994,1002,1019,1023,1030,1044,1052,1055,1069,1076,1079,1092,1101,1111,1115,1129,1136,1144,1150,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,33,39,48,52,63,76,84,93,94,105,113,127,134,139,147,155,163,172,185,320,330,336,350,357,364,376,379,390,401,403,418,422,436,437,469,604,614,620,632,636,648,654,661,672,684,692,699,710,714,722,737,744,751,757,767,775,781,790,798,811,815,823,839,840,854,859,873,876,887,892,907,915,924,930,935,947,953,966,968,980,989,999,1005,1015,1025,1029,1043,1045,1058,1064,1072,1080,1095,1097,1110,1114,1128,1132,1143,1149,1156,1172,1174	1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,139,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,22,29,42,43,57,64,73,79,92,99,102,116,120,130,136,147,156,169,173,315,320,330,342,351,357,366,371,379,389,402,404,412,425,432,438,599,606,616,624,626,635,650,654,662,672,684,694,701,709,716,726,729,739,751,759,771,779,784,792,802,812,817,826,833,844,851,857,868,875,884,891,902,911,924,931,934,950,959,964,972,977,985,1001,1010,1015,1020,1035,1043,1049,1059,1062,1070,1081,1095,1101,1108,1116,1124,1137,1146,1153,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,26,35,49,57,63,71,80,90,96,105,113,119,131,144,149,161,163,172,314,325,327,338,349,359,365,375,383,392,396,411,416,425,432,438,600,608,614,626,633,635,647,655,665,676,685,691,695,704,714,726,732,743,748,762,764,773,788,792,801,810,822,825,839,842,854,860,867,875,886,897,907,913,925,930,934,946,952,959,970,980,988,999,1004,1018,1024,1031,1039,1049,1054,1062,1078,1079,1092,1100,1105,1119,1122,1133,1141,1150,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,33,34,46,51,65,71,81,92,97,103,119,123,133,143,147,157,169,175,316,324,328,335,345,356,364,373,386,391,398,410,419,427,436,443,598,602,617,618,629,638,645,652,662,672,679,689,702,711,714,728,736,744,754,756,767,771,785,794,801,807,815,829,833,842,849,862,866,875,884,899,903,911,925,926,942,946,951,960,968,984,990,1000,1009,1013,1026,1031,1038,1052,1054,1069,1072,1084,1088,1098,1110,1119,1130,1133,1145,1147,1163,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,18,31,40,48,57,61,72,83,93,95,108,119,127,130,144,148,161,168,177,314,319,332,336,349,354,361,373,385,390,395,409,413,425,430,446,599,606,616,622,632,636,648,654,664,670,686,688,699,710,715,728,732,740,750,756,767,778,788,795,801,810,816,824,835,848,856,858,871,881,888,894,901,913,919,928,937,946,958,963,972,983,987,996,1007,1011,1021,1028,1044,1050,1056,1069,1075,1081,1094,1100,1109,1121,1129,1137,1142,1152,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,32,38,42,51,66,74,77,87,99,103,118,124,131,140,152,158,165,175,317,320,331,339,349,354,366,377,385,386,402,410,412,427,436,441,462,606,615,625,634,635,643,658,667,670,679,687,702,709,718,725,732,742,751,763,771,777,783,790,797,809,814,828,835,840,856,861,872,878,888,894,900,909,921,925,937,945,957,962,973,982,985,1000,1009,1014,1023,1034,1037,1045,1056,1068,1072,1080,1095,1103,1111,1115,1129,1137,1143,1148,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,32,41,46,51,66,68,80,93,95,105,118,120,128,144,152,159,162,179,316,326,333,339,343,352,367,371,380,393,397,408,413,424,429,444,598,601,609,619,627,636,645,653,662,670,678,694,699,708,714,727,737,741,746,756,763,776,783,789,804,814,815,828,834,840,853,863,867,875,886,894,903,912,922,930,936,948,951,960,971,976,991,1001,1004,1011,1027,1033,1037,1048,1057,1065,1077,1083,1090,1101,1112,1119,1126,1134,1146,1152,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,32,37,47,58,65,69,76,86,97,108,119,128,135,143,145,154,164,177,315,319,334,339,351,358,363,374,378,391,398,407,412,423,433,447,468,600,613,625,628,635,644,656,666,675,682,694,699,703,714,726,730,745,753,758,764,775,781,793,803,809,816,823,839,848,852,865,872,879,885,893,902,910,919,932,937,946,954,960,970,978,986,1002,1008,1017,1020,1028,1044,1049,1054,1068,1072,1081,1096,1102,1107,1113,1129,1138,1145,1148,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,33,38,43,58,66,74,82,90,101,109,117,120,128,144,152,156,168,176,315,322,331,335,350,353,362,375,382,393,399,406,420,421,433,441,600,608,612,622,630,635,651,657,661,674,678,694,698,709,714,725,733,745,751,755,767,773,781,796,799,810,818,829,834,844,850,859,867,878,887,898,907,910,918,933,940,945,952,966,975,977,985,995,1008,1019,1022,1033,1044,1047,1059,1069,1076,1079,1089,1101,1112,1114,1125,1138,1142,1148,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,26,36,42,52,67,75,78,89,94,104,113,123,133,140,151,162,164,178,315,324,329,342,344,357,365,372,380,394,402,404,419,427,432,437,600,606,610,622,627,639,651,653,660,669,684,690,703,706,717,725,732,741,749,756,770,773,780,791,803,807,817,828,834,841,854,860,871,876,885,892,906,909,924,931,940,950,959,964,974,979,993,994,1004,1015,1022,1035,1036,1048,1056,1068,1076,1083,1095,1100,1105,1115,1129,1131,1143,1155,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,29,35,46,55,60,76,79,89,96,108,115,127,130,140,152,156,165,177,314,318,328,342,343,358,362,370,380,387,397,405,415,428,431,438,597,606,615,618,634,643,645,654,662,675,681,686,699,704,717,727,734,744,751,758,771,772,786,788,803,810,821,824,838,841,849,860,870,881,889,898,906,915,917,931,935,950,956,966,969,977,993,1001,1006,1015,1027,1029,1043,1051,1054,1069,1072,1081,1088,1103,1109,1120,1123,1138,1141,1152,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,25,32,39,48,52,59,69,78,88,94,105,112,127,128,143,152,154,168,173,315,326,330,338,350,353,363,370,378,392,399,406,418,421,437,444,599,604,610,623,626,637,647,659,664,670,685,691,701,703,713,725,733,739,746,762,766,771,780,789,800,812,820,829,835,848,855,862,874,881,884,893,901,916,918,930,940,945,956,963,971,981,993,1001,1009,1013,1025,1028,1038,1048,1059,1064,1075,1080,1090,1100,1110,1119,1124,1130,1144,1149,1162,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,27,42,43,52,66,73,85,88,95,103,118,127,128,136,151,161,166,177,317,318,326,339,344,360,363,370,381,391,400,411,412,422,436,439,597,607,609,618,631,642,648,657,665,677,682,688,695,708,718,723,734,745,753,757,770,779,783,789,797,808,818,829,837,846,853,863,866,876,883,898,905,909,923,928,942,943,958,962,975,977,991,1001,1009,1017,1020,1033,1041,1051,1061,1068,1073,1085,1089,1098,1105,1117,1122,1135,1144,1155,1157,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,25,33,36,46,53,65,68,79,91,94,109,113,124,129,143,148,155,169,171,187,321,328,343,348,358,365,369,379,390,402,409,414,425,433,439,453,607,615,626,628,640,644,659,662,670,683,694,702,704,713,726,730,744,746,754,771,779,781,790,798,807,814,829,838,843,850,860,869,878,888,895,905,910,921,926,940,948,952,967,969,984,991,996,1004,1015,1020,1030,1038,1046,1056,1069,1072,1081,1092,1100,1111,1115,1126,1134,1140,1149,1156,1169	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,14,21,28,38,46,58,64,72,77,93,97,106,119,120,135,143,146,154,170,178,188,321,331,343,347,355,363,375,384,389,396,411,419,423,437,445,466,602,616,624,631,641,645,658,665,675,677,692,703,710,712,720,734,744,749,755,771,774,784,796,801,807,822,825,836,842,855,860,873,881,884,897,906,911,918,931,937,946,952,967,975,978,991,1002,1004,1019,1021,1035,1044,1047,1053,1063,1072,1083,1089,1102,1108,1117,1123,1131,1140,1154,1161,1169,1175	1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,20,28,40,47,53,60,72,82,86,98,104,111,124,129,143,152,157,167,177,182,326,329,336,351,356,364,370,378,388,400,406,415,427,431,440,462,601,615,619,627,639,650,656,664,674,686,691,694,705,715,722,730,743,750,759,764,778,780,793,803,811,821,828,837,846,852,859,871,881,888,891,902,908,921,930,937,944,956,960,971,982,987,998,1006,1017,1025,1036,1041,1049,1054,1066,1073,1079,1089,1096,1111,1121,1124,1131,1144,1154,1161,1171,1174	0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,19,33,40,43,52,66,69,82,87,102,104,113,120,128,142,151,156,168,177,204,321,327,337,350,359,362,372,385,394,402,403,419,423,434,441,463,607,613,618,627,640,646,652,664,673,678,689,699,706,714,727,733,741,751,761,767,780,786,795,803,809,819,826,834,841,853,857,871,880,887,893,904,909,919,933,939,942,951,967,970,985,986,997,1006,1013,1021,1034,1038,1046,1054,1062,1075,1085,1095,1100,1106,1117,1122,1133,1144,1151,1156,1169,1173	1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,17,27,34,47,59,60,73,78,90,98,103,118,119,133,136,153,156,163,178,193,324,332,339,349,355,369,377,380,390,399,408,413,424,436,438,450,609,617,618,629,643,649,659,663,670,682,686,695,708,719,728,733,738,751,759,768,778,782,792,802,812,822,825,833,845,848,857,869,877,882,895,904,909,923,925,939,944,952,961,974,976,988,1001,1005,1012,1023,1029,1043,1051,1053,1065,1072,1086,1093,1100,1104,1117,1123,1137,1140,1151,1158,1172	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,21,28,42,47,56,63,73,77,89,96,108,114,120,133,139,148,159,164,171,189,320,331,335,347,353,368,375,386,392,398,406,419,421,430,439,449,601,616,626,634,636,649,653,666,672,683,687,699,703,713,723,733,744,746,755,770,777,785,792,805,806,816,830,834,844,855,864,866,882,887,895,900,912,923,928,936,948,958,962,976,978,988,1000,1004,1013,1022,1030,1037,1053,1061,1070,1073,1081,1094,1098,1106,1121,1123,1136,1144,1148,1160,1165,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
7,16,19,27,42,43,55,62,71,85,89,97,110,117,123,130,143,147,159,169,175,183,324,329,339,350,358,362,372,379,394,399,410,419,421,435,445,451,606,615,620,632,636,646,653,660,675,679,693,699,706,713,726,733,741,750,758,764,777,788,790,799,813,820,826,840,843,854,860,868,881,887,891,905,916,921,927,935,949,955,960,969,985,992,998,1010,1018,1020,1030,1040,1047,1059,1065,1078,1087,1092,1100,1112,1117,1127,1132,1141,1149,1163,1169,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,19,29,38,49,51,67,74,79,90,96,106,114,122,135,141,153,155,162,175,180,324,328,335,346,354,365,370,380,388,399,409,419,425,431,441,457,604,616,620,633,635,643,659,663,671,685,694,695,710,718,726,731,742,750,757,767,777,788,794,800,814,821,824,838,844,852,861,867,878,885,894,900,914,924,928,938,945,957,968,975,983,993,1001,1008,1013,1022,1035,1037,1050,1058,1068,1079,1084,1094,1099,1112,1121,1126,1134,1143,1150,1163,1166	1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,20,33,36,48,54,65,75,77,87,94,103,119,121,134,137,152,154,166,179,317,319,332,341,344,360,367,375,383,394,395,409,419,423,431,440,454,604,617,620,628,641,646,656,663,671,678,691,702,705,712,725,730,740,752,758,768,774,786,794,803,813,819,829,837,843,849,858,867,881,887,893,903,916,923,925,935,944,955,961,975,983,985,1002,1010,1017,1023,1036,1039,1046,1059,1062,1075,1085,1092,1098,1110,1117,1127,1137,1144,1155,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,23,32,39,43,52,64,73,77,89,96,103,113,125,134,141,152,157,166,177,181,325,327,338,351,355,367,374,379,387,402,406,420,428,436,442,598,601,613,619,628,641,648,657,669,674,680,694,696,710,717,728,730,743,747,760,763,772,787,789,798,810,821,825,835,845,854,860,873,882,886,897,902,911,920,928,942,948,952,964,975,982,990,998,1008,1015,1020,1028,1038,1047,1056,1064,1071,1082,1089,1102,1111,1119,1123,1135,1144,1149,1158,1171,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,15,17,29,40,51,57,60,72,78,91,100,110,112,122,132,138,148,154,169,173,180,321,330,339,347,357,362,373,381,391,400,411,414,423,435,444,599,608,615,621,630,636,650,655,664,672,681,694,698,706,718,724,733,743,748,757,769,778,783,790,801,808,815,823,832,845,852,863,868,880,883,894,900,910,924,925,936,944,954,960,968,982,988,995,1005,1015,1021,1029,1042,1050,1054,1069,1078,1086,1095,1104,1113,1118,1122,1135,1145,1150,1157,1171,1175	1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,32,42,50,58,66,69,78,91,97,106,113,125,131,137,146,158,168,176,182,323,328,342,345,355,361,373,384,387,401,409,418,427,432,439,466,602,613,619,630,635,648,655,669,673,685,693,699,710,720,724,729,745,750,762,763,772,784,789,805,814,819,829,834,841,853,861,868,880,887,893,906,912,924,930,942,947,953,968,974,979,986,995,1007,1017,1027,1030,1041,1047,1054,1063,1072,1085,1090,1100,1107,1116,1130,1138,1144,1150,1156,1165,1177	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,15,20,30,34,45,56,62,70,82,93,94,110,118,119,133,139,146,154,162,176,182,325,330,336,350,356,361,374,378,387,400,411,415,420,433,440,460,607,617,623,629,638,647,655,664,676,679,688,696,711,714,726,736,742,748,758,764,778,784,796,800,812,817,830,834,844,855,860,869,882,890,894,904,909,925,929,939,949,953,960,968,981,991,1001,1010,1017,1023,1032,1044,1045,1055,1062,1071,1082,1093,1097,1108,1119,1129,1130,1145,1151,1162,1167,1176	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,15,23,30,37,42,53,67,68,80,88,102,104,119,126,129,144,148,158,166,178,182,319,328,339,348,358,362,375,380,388,398,405,417,424,437,441,458,608,611,621,626,638,651,658,667,672,680,688,696,704,716,723,736,745,750,755,771,776,781,796,804,812,814,830,838,847,856,857,869,880,889,893,908,909,921,926,940,944,958,965,969,983,988,994,1003,1013,1022,1029,1038,1050,1059,1068,1073,1080,1091,1098,1111,1121,1124,1135,1146,1151,1161,1169,1174	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,24,29,37,45,53,61,75,83,91,99,109,115,123,135,140,145,154,169,172,180,319,328,339,345,353,364,372,385,394,397,407,416,422,429,444,448,603,610,626,628,638,649,654,667,672,682,693,696,708,714,721,730,739,747,761,768,776,785,792,799,808,822,829,838,848,855,865,866,880,884,893,907,908,924,928,936,947,953,963,973,980,992,1000,1007,1013,1024,1028,1040,1046,1060,1068,1070,1087,1096,1099,1111,1117,1127,1134,1140,1149,1159,1170,1176	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,24,27,36,43,56,62,71,83,86,96,107,113,126,129,143,151,159,166,173,315,326,327,336,344,354,368,374,384,390,401,412,420,426,430,442,453,609,612,622,627,638,645,658,667,674,685,691,697,705,712,720,732,741,747,754,769,778,781,793,801,809,821,830,837,848,853,861,869,876,886,891,903,912,917,932,940,948,952,964,970,984,993,994,1003,1015,1021,1033,1037,1046,1053,1070,1075,1079,1092,1096,1108,1119,1126,1135,1145,1149,1161,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,22,31,40,44,56,63,72,85,93,94,106,116,124,129,137,149,161,167,173,318,324,332,335,347,357,364,370,378,391,402,405,414,424,437,442,597,604,612,625,627,638,648,657,661,673,681,688,698,707,715,723,730,744,751,759,765,777,783,792,804,806,822,829,832,840,853,861,866,876,887,897,903,910,921,928,941,942,954,962,974,982,991,999,1010,1015,1021,1035,1037,1049,1055,1067,1072,1087,1094,1097,1105,1119,1122,1136,1145,1147,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,33,40,44,53,66,69,82,90,99,103,112,125,131,136,152,162,164,171,316,321,326,343,346,356,367,377,384,390,396,410,418,426,437,442,600,602,609,622,628,642,648,656,664,670,684,689,696,709,715,727,733,739,749,761,763,775,781,793,797,806,817,823,833,840,849,862,870,879,890,895,905,916,918,933,941,943,959,961,972,979,993,996,1003,1019,1025,1031,1038,1049,1057,1069,1077,1086,1093,1103,1110,1117,1122,1135,1147,1154,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,25,30,42,44,54,67,76,81,89,101,106,116,124,130,138,149,157,166,174,318,321,335,340,348,355,363,376,378,387,395,412,416,423,436,443,599,601,614,619,632,636,645,653,661,676,681,689,698,710,714,726,734,743,754,756,769,778,786,797,801,807,818,824,836,848,849,862,868,882,888,891,905,914,923,933,938,944,957,965,968,983,987,1001,1006,1017,1022,1035,1040,1050,1059,1070,1077,1082,1090,1102,1106,1120,1125,1131,1142,1155,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,31,38,48,58,60,69,80,88,95,109,112,122,129,140,150,156,168,179,315,318,330,337,350,359,366,373,384,390,395,408,417,422,433,441,599,601,614,626,632,636,646,653,661,675,685,691,702,709,714,720,731,745,749,761,763,772,785,796,799,806,819,828,833,847,852,864,873,875,884,891,902,916,920,933,938,943,955,964,969,976,992,996,1003,1012,1020,1031,1037,1048,1055,1068,1072,1087,1094,1096,1107,1117,1122,1136,1147,1155,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,33,35,47,51,62,73,79,93,96,106,116,120,134,136,146,157,167,175,315,321,333,336,352,353,363,372,384,392,399,404,417,420,437,444,596,608,612,620,629,643,645,652,661,669,682,692,700,704,713,723,734,739,749,760,763,779,785,794,799,806,814,828,838,846,857,864,868,878,886,893,907,911,920,931,935,947,951,966,970,977,991,996,1008,1015,1022,1031,1044,1047,1059,1064,1072,1082,1088,1099,1108,1121,1123,1138,1146,1148,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,27,38,49,53,61,71,78,86,98,105,115,121,131,144,145,153,169,176,315,319,332,342,350,355,365,371,385,389,397,405,420,428,432,441,598,602,610,619,631,636,650,657,667,673,685,694,702,705,717,724,735,738,748,762,771,778,787,792,804,809,815,827,837,840,855,863,872,879,888,894,899,913,917,925,938,947,954,964,969,978,988,998,1010,1018,1025,1029,1036,1051,1056,1066,1073,1080,1089,1102,1109,1119,1126,1137,1140,1153,1161,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,31,35,45,54,63,75,83,90,101,107,117,125,129,144,150,157,170,176,314,326,334,342,344,355,363,376,378,389,396,404,417,421,431,438,455,601,610,619,626,637,644,654,660,676,685,686,702,705,715,721,736,741,751,761,766,774,787,792,798,811,822,827,838,846,848,863,868,875,886,897,903,910,924,932,934,946,957,964,973,980,993,998,1009,1016,1021,1027,1039,1049,1060,1065,1074,1079,1090,1099,1105,1120,1123,1136,1145,1151,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,29,35,48,53,62,71,81,93,101,107,113,124,135,141,151,160,166,171,182,325,335,342,347,355,367,370,382,394,395,407,414,422,430,441,596,605,611,624,628,637,647,652,664,674,683,689,695,711,718,722,734,738,753,758,770,775,781,789,804,813,822,827,835,842,854,862,868,880,883,897,903,915,921,929,938,944,954,961,968,978,992,1002,1008,1010,1021,1030,1038,1051,1058,1070,1077,1085,1088,1103,1105,1116,1128,1130,1140,1154,1157,1172,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0
7,8,17,31,41,50,52,60,72,79,91,99,105,111,123,131,140,152,154,162,176,315,323,330,338,344,356,366,372,379,390,400,412,413,428,437,438,598,604,612,624,628,636,645,660,662,674,684,690,702,711,717,724,732,737,750,761,765,779,783,791,802,810,820,825,835,846,851,860,872,877,886,895,906,915,922,928,942,950,959,965,971,984,992,996,1008,1016,1020,1034,1038,1051,1054,1067,1074,1082,1094,1101,1109,1120,1125,1136,1140,1149,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,34,40,45,55,65,76,85,88,98,103,113,119,132,143,151,154,164,174,316,318,329,341,346,357,368,375,383,389,402,409,416,426,429,443,449,605,617,623,627,637,648,658,661,675,678,687,699,706,719,728,734,744,747,755,763,777,787,788,804,810,814,829,836,843,851,861,866,881,884,891,903,915,917,926,936,947,956,964,975,978,987,1000,1008,1016,1024,1035,1038,1048,1061,1065,1074,1085,1091,1101,1109,1113,1126,1137,1141,1150,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,28,38,49,57,65,68,77,93,102,107,118,121,130,138,148,153,169,179,318,324,333,339,349,356,367,377,382,390,395,410,420,421,430,437,471,608,610,622,633,636,644,657,664,677,681,687,696,707,717,721,729,745,747,758,770,778,783,790,800,811,820,824,838,843,853,863,868,881,885,896,907,909,924,930,937,943,954,965,969,983,993,996,1003,1012,1024,1031,1038,1048,1061,1068,1072,1079,1090,1097,1111,1118,1128,1137,1141,1153,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,29,37,45,54,60,73,81,93,96,103,112,124,134,139,152,157,165,172,313,324,333,342,352,356,361,375,382,388,402,408,418,424,430,443,600,604,610,625,632,636,650,657,669,676,682,694,697,707,716,727,734,738,749,757,766,777,782,791,805,811,815,828,833,842,851,860,873,875,888,895,908,915,918,930,940,945,958,963,969,977,991,996,1003,1012,1025,1035,1040,1051,1058,1065,1077,1084,1095,1101,1110,1114,1130,1138,1142,1153,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,29,40,45,57,62,73,82,91,101,104,116,121,131,143,148,159,169,175,179,324,331,340,345,354,362,373,381,388,396,411,419,423,430,438,447,606,616,623,630,636,644,657,665,674,680,690,700,706,715,724,733,741,749,756,768,777,784,789,799,809,819,829,837,843,849,861,869,879,887,896,903,912,922,933,937,948,952,960,976,982,986,996,1003,1011,1023,1030,1040,1050,1056,1065,1071,1084,1096,1104,1111,1116,1123,1138,1145,1152,1162,1168,1175	0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,25,26,38,49,57,64,75,84,87,97,105,115,123,134,140,150,156,169,175,314,323,334,341,349,360,367,376,381,386,401,409,419,428,434,446,600,603,615,624,633,637,645,655,665,672,680,689,699,706,716,724,735,740,750,756,767,777,781,791,799,807,817,826,832,844,854,862,871,874,885,895,903,912,921,926,935,948,954,964,974,983,988,995,1006,1017,1024,1030,1038,1049,1060,1064,1077,1084,1093,1097,1109,1113,1127,1138,1146,1154,1159,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,31,38,42,55,60,70,77,87,100,109,115,120,133,140,150,155,169,176,315,318,334,338,349,355,364,374,385,389,399,406,418,428,430,440,597,602,611,623,632,640,651,654,660,672,683,688,695,704,713,728,733,738,748,756,768,773,784,791,805,811,818,828,838,844,853,863,873,878,885,891,906,913,921,929,941,947,955,960,974,976,992,997,1007,1015,1021,1034,1039,1050,1057,1065,1077,1081,1090,1097,1109,1120,1121,1135,1142,1154,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,32,38,43,52,59,68,78,85,96,104,112,126,129,142,146,157,162,177,316,321,329,335,344,355,368,372,379,387,398,409,415,428,430,440,449,603,615,622,631,642,648,658,667,677,683,686,695,708,718,723,729,741,746,762,770,773,783,791,803,808,820,825,836,844,856,863,867,880,888,893,900,914,925,931,937,942,957,966,970,984,986,998,1008,1011,1025,1028,1040,1050,1058,1067,1074,1085,1090,1100,1112,1121,1125,1132,1143,1155,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,17,27,35,49,59,65,75,81,88,97,105,117,126,131,144,150,158,163,172,313,326,328,339,347,354,368,370,381,390,403,411,414,421,435,439,471,607,614,620,627,642,649,654,661,671,685,693,697,706,712,727,731,743,747,762,764,776,786,788,803,807,817,823,839,846,851,864,869,879,884,892,906,911,922,928,940,948,951,964,971,981,991,994,1005,1018,1019,1032,1037,1048,1060,1063,1077,1079,1093,1100,1105,1120,1128,1138,1142,1150,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,29,35,46,59,66,72,84,85,99,107,119,124,136,141,153,161,170,175,313,319,329,338,347,356,367,377,379,389,403,404,415,422,431,445,598,608,610,620,628,639,645,659,667,675,679,694,700,705,719,727,731,742,753,754,763,778,780,793,805,807,814,830,832,842,856,863,871,877,883,891,901,909,922,927,935,949,955,960,969,980,987,1000,1002,1014,1019,1032,1042,1045,1053,1065,1078,1079,1093,1097,1106,1117,1126,1134,1139,1151,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,26,42,44,55,60,70,83,89,101,110,117,120,136,140,151,158,165,176,313,318,328,342,344,357,362,370,381,389,396,409,414,425,434,441,453,601,613,621,634,643,652,657,667,673,682,690,700,705,713,720,729,738,752,758,768,778,781,788,801,813,816,828,837,848,852,861,867,875,882,891,900,915,918,928,936,950,955,962,970,984,992,997,1007,1012,1024,1032,1044,1047,1058,1067,1078,1081,1091,1097,1109,1118,1128,1130,1146,1150,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,33,37,47,54,61,69,77,88,101,109,117,120,136,144,149,161,165,174,313,319,329,338,348,357,368,373,380,391,402,409,417,426,432,441,597,602,609,623,627,637,651,653,662,673,682,687,701,705,718,727,734,737,746,761,765,773,785,793,803,811,817,827,831,846,855,863,868,882,884,895,901,915,923,927,934,943,957,965,975,980,986,995,1003,1013,1019,1033,1043,1050,1059,1070,1076,1085,1092,1099,1110,1117,1130,1131,1138,1152,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,22,33,42,45,58,65,71,79,90,97,105,114,119,135,144,149,154,165,174,315,326,332,340,351,355,368,372,379,393,397,412,416,427,433,439,596,605,616,620,627,636,651,656,668,672,680,694,702,709,718,725,734,745,746,762,769,776,781,789,805,811,820,825,839,841,853,861,866,879,886,892,903,914,920,927,937,943,957,966,970,978,990,996,1006,1011,1019,1029,1037,1051,1056,1066,1071,1085,1094,1099,1110,1114,1122,1133,1144,1152,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,30,37,43,58,65,72,83,85,97,102,118,119,133,143,148,158,168,171,314,320,333,343,345,355,363,372,382,387,399,405,412,421,433,443,462,602,612,623,628,638,644,656,662,672,681,693,701,709,717,724,732,744,746,757,769,778,780,793,797,808,816,830,834,841,849,858,872,874,884,897,905,909,920,929,934,944,954,960,973,981,985,1001,1004,1013,1027,1030,1040,1045,1061,1069,1072,1079,1094,1101,1105,1121,1127,1135,1144,1153,1161,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,21,26,35,48,55,63,71,82,87,94,110,112,122,128,143,151,156,170,178,316,324,333,338,346,352,361,371,380,389,400,404,417,423,430,441,598,605,614,623,634,638,644,655,661,670,681,687,695,710,720,725,731,745,751,757,768,773,788,794,799,809,815,829,832,844,852,864,873,875,890,896,907,912,918,930,939,946,952,964,970,984,986,999,1003,1018,1020,1032,1040,1046,1059,1069,1076,1081,1094,1097,1109,1120,1128,1136,1146,1148,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,25,31,38,45,52,67,72,85,91,101,109,111,119,132,136,146,160,163,173,313,323,330,339,349,352,365,369,385,392,398,409,416,427,433,443,455,601,610,620,631,636,651,653,668,677,680,694,697,706,716,724,732,742,746,757,767,774,784,792,805,808,822,823,831,844,848,863,867,875,890,893,905,910,921,928,937,945,958,967,975,979,991,996,1007,1018,1025,1028,1038,1048,1061,1069,1076,1087,1090,1098,1111,1114,1122,1133,1145,1153,1163,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,18,30,39,46,52,68,72,79,88,100,107,114,124,136,140,146,161,164,173,316,323,334,335,347,358,365,376,384,388,401,403,418,423,433,438,596,604,615,623,634,639,648,653,663,670,679,690,695,708,718,722,729,743,747,760,766,774,781,789,805,810,816,827,835,846,854,863,871,878,886,896,902,912,923,927,941,943,957,959,974,982,990,998,1005,1012,1025,1030,1040,1048,1061,1067,1072,1085,1090,1099,1110,1117,1129,1137,1143,1150,1164,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,30,39,45,53,64,68,82,91,95,102,112,121,131,138,148,159,162,174,181,320,330,341,352,360,362,371,382,391,403,412,413,424,436,439,596,607,615,624,633,643,646,653,663,677,680,693,695,711,718,723,732,742,749,759,765,778,780,795,800,813,820,824,837,841,850,864,872,881,886,892,906,912,925,930,936,947,953,967,974,980,986,995,1005,1018,1025,1032,1044,1046,1057,1064,1073,1084,1093,1100,1107,1118,1128,1131,1139,1150,1160,1169,1177	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,24,26,36,43,53,62,69,81,87,102,105,117,123,128,136,149,156,164,176,187,325,328,337,346,359,366,371,386,387,401,409,416,422,429,441,597,603,616,626,632,635,644,652,664,669,680,690,703,709,715,721,734,744,748,761,763,778,786,793,805,811,822,830,836,845,850,859,866,878,887,896,907,915,920,928,938,942,958,960,971,985,988,994,1006,1018,1019,1030,1040,1048,1057,1066,1075,1081,1089,1101,1111,1116,1128,1130,1138,1149,1162,1164	0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,20,27,37,46,57,64,70,79,88,95,107,115,122,128,136,149,154,169,178,191,323,335,343,345,360,362,373,382,388,402,407,413,429,435,445,598,603,615,619,633,636,644,660,666,674,682,690,702,705,717,726,731,741,748,761,771,776,788,791,797,806,818,829,838,848,850,858,869,874,886,894,904,908,924,927,936,949,956,961,969,977,993,994,1008,1013,1024,1036,1037,1050,1058,1065,1077,1087,1088,1099,1105,1120,1127,1133,1144,1151,1160,1167,1173	0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0
2,12,17,27,41,47,58,61,72,80,92,101,104,114,126,134,136,152,159,162,172,191,323,329,343,345,356,368,369,385,391,399,412,415,425,437,438,468,604,613,623,631,636,645,659,660,670,681,690,698,708,718,722,731,742,747,762,764,772,784,793,801,810,816,825,835,845,852,865,866,881,889,891,903,910,918,930,937,949,954,959,969,978,991,999,1002,1019,1022,1035,1038,1047,1061,1067,1075,1081,1087,1096,1113,1114,1127,1136,1142,1154,1164,1172,1175	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
5,15,22,33,42,51,58,61,68,76,91,100,109,112,119,132,136,151,154,164,175,180,325,328,335,351,353,367,375,385,386,402,404,412,424,436,445,598,601,614,621,632,638,646,658,668,671,678,689,699,711,712,725,731,738,749,759,763,780,787,792,798,808,818,826,837,840,853,857,871,881,885,896,904,909,920,928,938,949,956,967,975,982,986,1000,1006,1013,1026,1034,1041,1045,1054,1070,1071,1087,1091,1102,1106,1115,1125,1132,1140,1155,1163,1164,1173	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,19,33,39,45,58,66,72,83,90,97,107,113,120,133,143,151,156,168,175,184,325,331,337,349,355,369,377,378,391,402,405,415,421,429,441,600,608,614,622,633,643,651,660,665,670,685,686,696,706,716,725,731,739,753,758,766,778,786,795,797,810,822,824,834,841,856,857,873,876,883,896,900,915,919,933,940,945,958,959,975,978,993,1000,1010,1019,1024,1028,1041,1049,1058,1062,1077,1083,1095,1102,1112,1117,1122,1136,1147,1153,1160,1168,1176	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,27,36,50,59,68,73,77,86,98,109,113,127,132,143,151,157,167,171,184,318,333,335,347,352,367,372,382,387,397,408,418,428,432,446,600,605,615,624,628,639,649,652,668,671,681,694,697,705,712,726,735,737,748,758,768,779,788,790,802,809,821,830,833,847,857,858,871,877,886,894,905,911,923,933,934,942,957,968,969,978,990,997,1010,1012,1022,1028,1043,1049,1056,1062,1074,1085,1092,1102,1112,1120,1125,1135,1147,1154,1157,1169,1178	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,20,28,39,45,54,66,70,77,92,102,106,114,124,129,143,148,156,164,171,185,322,328,337,345,352,366,375,385,392,400,406,417,427,432,439,597,605,611,622,633,642,651,656,665,670,680,694,696,708,715,727,729,741,746,761,768,775,783,797,802,806,818,830,834,842,855,859,869,875,886,894,901,913,919,927,937,944,958,961,974,983,987,994,1007,1017,1019,1033,1039,1051,1060,1068,1071,1085,1093,1099,1110,1114,1122,1135,1139,1147,1160,1171,1177	1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,11,22,28,37,44,57,67,74,79,89,97,102,111,120,136,141,146,155,163,174,317,320,333,340,351,353,367,376,381,394,402,404,418,423,437,440,596,601,616,620,626,635,651,659,662,673,681,691,701,708,717,726,732,742,746,759,765,778,780,793,801,814,816,830,837,842,850,863,873,877,887,894,900,910,918,929,934,948,959,964,968,980,991,1002,1006,1012,1021,1030,1039,1047,1059,1068,1072,1087,1089,1099,1107,1120,1126,1130,1140,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,22,31,37,46,52,59,73,81,89,96,108,112,127,136,144,145,155,162,178,181,321,327,341,350,353,362,370,386,394,398,410,415,422,433,442,454,602,610,625,631,637,645,654,663,676,680,686,701,705,718,721,731,740,751,757,771,778,782,791,800,810,818,829,836,842,855,858,868,877,888,899,904,916,925,930,934,950,957,967,974,977,993,998,1005,1019,1023,1029,1036,1050,1058,1069,1075,1081,1089,1099,1112,1119,1125,1138,1143,1149,1160,1166,1173	1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,9,22,30,40,45,54,64,76,84,92,100,111,115,124,128,139,152,154,167,175,179,325,329,339,349,356,366,376,385,394,397,409,417,428,435,441,599,601,615,623,629,636,645,656,664,669,678,690,695,711,713,727,734,740,751,762,769,780,781,796,800,813,822,826,832,842,851,863,865,876,886,895,905,911,921,926,936,944,956,965,969,979,992,993,1005,1014,1020,1032,1042,1052,1059,1066,1074,1081,1088,1100,1112,1116,1121,1138,1141,1148,1162,1168,1173	1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,25,27,34,50,54,62,68,77,85,96,102,116,124,129,137,146,159,165,174,191,323,328,342,349,358,363,374,378,393,396,408,417,420,431,446,597,606,611,626,627,639,648,659,667,669,681,694,696,709,718,727,736,739,753,761,770,774,785,794,803,807,822,829,833,846,854,861,871,878,888,897,902,908,919,925,941,946,958,959,969,980,991,1000,1003,1016,1025,1032,1038,1051,1059,1066,1076,1079,1089,1104,1111,1115,1127,1130,1141,1153,1160,1165,1178	0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
5,10,20,28,37,50,58,66,71,78,90,101,105,115,122,134,141,145,158,165,178,185,325,329,339,346,360,365,371,385,393,398,410,418,427,435,445,597,601,611,618,627,640,648,658,668,676,681,693,696,710,719,726,736,746,753,756,763,776,781,791,801,811,818,827,836,846,850,861,870,881,886,894,900,914,919,928,936,948,955,967,969,983,992,994,1004,1014,1026,1028,1043,1045,1061,1065,1071,1085,1090,1098,1112,1115,1126,1132,1141,1152,1157,1171	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,22,32,37,43,53,65,74,84,88,102,106,113,126,131,141,151,155,166,175,181,325,329,336,346,356,361,375,379,392,402,404,415,426,436,441,596,607,614,619,629,638,649,659,661,671,684,694,702,710,718,727,736,743,749,759,765,778,786,790,803,807,818,826,833,847,856,857,871,875,886,893,906,915,925,927,939,945,958,959,971,982,989,999,1007,1016,1026,1033,1041,1048,1053,1063,1075,1083,1094,1102,1111,1117,1128,1136,1147,1152,1161,1166,1176	1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,16,18,29,41,45,53,67,75,80,91,95,103,114,121,136,143,149,155,166,172,190,320,333,335,347,357,369,377,382,386,400,406,420,428,429,442,597,605,614,619,633,641,649,653,664,677,683,691,701,709,719,727,731,738,752,756,765,775,784,789,805,806,822,829,837,840,848,858,866,874,886,898,899,915,916,932,942,950,951,962,970,979,986,995,1002,1016,1021,1028,1043,1047,1058,1068,1075,1085,1092,1103,1104,1119,1130,1132,1140,1149,1162,1168,1174	1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,20,25,39,46,51,62,71,84,86,97,102,111,126,135,142,145,160,168,176,317,323,328,339,345,360,365,376,383,393,400,412,420,423,431,441,454,609,614,618,632,640,648,654,666,676,686,689,702,706,712,725,731,744,751,759,771,779,782,790,803,814,816,830,838,847,855,864,868,876,884,894,901,915,923,928,938,942,954,961,968,978,992,997,1006,1017,1019,1030,1037,1052,1054,1064,1071,1081,1090,1097,1110,1119,1128,1138,1144,1149,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,27,34,46,56,61,72,79,88,98,108,111,125,131,142,151,157,169,172,314,320,329,340,349,359,365,373,378,390,396,409,416,424,434,442,600,602,611,619,632,641,651,658,667,675,683,691,696,711,715,725,734,745,748,757,771,774,780,790,805,809,815,826,837,845,849,862,867,874,885,898,900,911,919,926,939,949,952,964,972,982,989,998,1008,1019,1023,1030,1036,1052,1056,1069,1077,1083,1092,1103,1107,1116,1128,1138,1146,1152,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,32,39,50,53,66,70,80,92,94,105,111,119,131,141,150,154,164,176,317,325,329,343,351,358,368,373,383,391,402,408,420,421,432,443,454,605,612,618,628,643,644,655,665,672,681,694,696,706,716,726,733,738,752,761,765,776,786,794,803,812,820,825,837,846,854,863,867,879,886,891,906,915,921,926,934,948,959,966,971,979,990,998,1006,1015,1027,1030,1037,1052,1054,1063,1071,1084,1089,1102,1112,1116,1129,1133,1142,1150,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,23,27,37,49,57,68,74,79,88,99,105,111,121,133,143,146,160,170,173,314,318,328,341,352,353,364,377,386,393,401,404,418,427,431,441,597,601,611,621,627,640,651,657,668,676,682,688,696,711,719,724,731,740,750,759,771,773,786,789,798,813,818,828,837,845,849,861,869,877,886,898,905,914,923,931,933,948,954,963,975,984,985,997,1004,1017,1026,1036,1041,1052,1061,1063,1072,1086,1094,1103,1108,1117,1129,1138,1145,1152,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,33,37,46,56,60,69,80,92,96,109,118,126,131,140,148,154,167,176,316,320,331,336,350,358,363,371,381,386,400,407,418,421,436,439,466,608,609,625,632,642,644,654,666,677,680,692,701,709,712,725,733,742,747,759,768,773,784,795,801,810,818,823,837,847,849,857,869,879,890,894,907,914,923,926,941,950,956,967,973,979,989,1001,1007,1018,1024,1032,1036,1050,1059,1064,1073,1081,1089,1103,1109,1120,1126,1138,1139,1150,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,31,39,45,51,66,74,82,85,95,105,116,123,136,138,150,160,168,176,317,322,332,338,347,360,365,371,384,389,399,408,415,422,430,446,596,606,612,625,633,641,644,660,668,669,679,694,702,707,712,724,730,743,753,761,766,776,782,789,803,812,818,828,831,845,855,861,869,877,891,893,902,914,922,925,937,950,953,964,969,978,991,995,1008,1012,1023,1032,1038,1045,1057,1065,1072,1087,1090,1098,1107,1113,1124,1136,1142,1151,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,31,37,49,59,64,70,79,89,101,103,115,123,129,143,148,160,166,172,315,324,327,336,346,358,368,377,385,392,396,411,414,429,432,440,466,603,615,622,628,641,643,654,663,669,684,689,696,708,712,726,735,742,754,762,768,776,784,791,804,808,822,828,832,844,851,863,866,881,884,891,903,910,919,929,937,948,954,963,971,981,985,1000,1004,1013,1026,1029,1044,1049,1060,1069,1075,1080,1095,1096,1112,1115,1128,1134,1147,1152,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,27,40,50,54,64,68,81,93,96,110,111,126,130,139,146,158,168,172,317,320,329,336,351,355,366,374,379,393,403,404,412,426,433,442,465,607,611,618,632,641,649,653,662,670,682,694,699,708,714,726,736,740,753,758,765,776,784,790,804,810,815,826,837,845,850,864,869,875,889,893,907,915,921,926,937,948,956,963,975,982,985,999,1007,1018,1020,1029,1037,1052,1058,1062,1073,1085,1093,1099,1110,1119,1129,1137,1147,1153,1156,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,30,37,46,59,62,69,81,86,100,105,115,128,134,141,148,160,162,175,182,320,331,342,346,352,363,376,378,388,395,408,414,422,435,438,596,603,613,625,633,642,644,656,666,669,685,688,701,706,712,724,736,742,751,755,763,779,786,789,799,807,819,823,831,842,851,859,867,879,883,895,900,913,918,926,941,948,955,967,968,976,989,994,1006,1016,1020,1032,1042,1046,1054,1067,1078,1079,1092,1098,1108,1119,1125,1138,1140,1153,1158,1166,1175	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,17,28,42,44,53,65,76,83,90,100,103,118,125,129,138,153,161,170,175,317,322,333,337,345,360,365,371,381,387,395,405,416,424,432,441,596,608,614,626,632,639,651,658,661,671,678,691,696,710,712,721,733,737,750,754,768,775,783,791,801,810,821,826,835,843,851,864,868,876,890,898,902,911,924,930,934,945,955,964,974,981,987,993,1006,1012,1020,1031,1037,1050,1061,1063,1079,1080,1089,1103,1111,1118,1124,1137,1142,1154,1157,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,31,35,47,53,60,74,82,87,95,108,118,125,132,136,145,155,162,174,318,322,334,340,346,352,367,378,379,393,400,410,418,423,436,438,469,609,616,619,631,635,648,657,661,672,678,690,698,704,715,724,737,739,752,756,768,778,785,789,797,807,819,826,834,842,850,864,872,882,883,893,902,916,919,933,941,947,958,964,970,983,987,1000,1007,1011,1020,1030,1042,1046,1054,1066,1074,1086,1090,1096,1106,1114,1126,1133,1143,1150,1159,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,24,28,37,45,51,63,69,78,90,97,105,119,121,132,141,147,154,169,172,315,319,334,335,349,357,364,377,381,389,403,405,418,428,430,439,466,605,611,623,630,637,652,660,666,670,679,691,695,705,715,720,732,740,746,759,769,775,784,795,799,811,816,824,839,847,850,858,870,879,886,892,904,915,923,933,940,945,954,967,976,982,989,998,1007,1015,1025,1035,1040,1052,1059,1066,1070,1084,1093,1099,1111,1116,1123,1133,1142,1151,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,22,28,37,43,57,64,68,79,92,100,106,117,121,129,136,149,154,163,171,313,325,330,342,347,354,368,373,380,393,399,410,415,423,434,442,599,601,611,626,635,642,650,657,665,670,686,689,697,710,713,722,735,742,753,756,771,779,785,790,801,807,815,823,837,844,856,860,871,882,889,899,906,914,921,932,936,944,957,960,968,984,986,997,1006,1018,1022,1028,1044,1049,1053,1066,1078,1082,1093,1097,1108,1113,1127,1133,1144,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,32,37,47,54,66,70,79,92,99,103,114,124,135,144,145,157,165,172,189,325,333,340,351,355,368,373,382,394,395,411,419,427,435,446,597,601,611,626,632,636,649,658,664,670,681,690,699,703,713,723,729,739,753,757,765,775,787,791,805,809,822,826,839,847,851,860,866,879,886,899,903,912,921,932,940,946,953,959,970,979,988,998,1007,1017,1025,1035,1044,1048,1058,1069,1073,1083,1093,1099,1110,1116,1123,1132,1145,1149,1157,1170,1178	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,12,20,29,37,46,54,67,69,79,90,97,106,118,121,131,136,151,160,164,176,314,326,334,341,346,358,367,375,382,391,399,408,417,427,435,444,460,608,609,624,628,636,648,656,666,673,680,687,702,710,713,726,734,739,750,757,767,772,787,790,802,812,822,831,833,847,854,861,867,876,885,893,899,915,924,926,937,943,959,965,969,978,987,995,1009,1014,1022,1032,1038,1047,1055,1063,1073,1087,1091,1099,1110,1117,1127,1132,1145,1150,1164,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,29,41,46,58,68,71,81,91,96,110,111,120,132,140,149,156,168,175,314,325,335,342,349,353,369,373,380,390,397,410,418,421,430,441,599,604,612,620,633,638,645,657,664,670,677,691,697,708,715,725,737,743,748,757,765,779,786,791,805,810,816,826,838,845,852,865,872,879,883,892,900,910,919,931,934,950,951,963,972,983,990,997,1005,1012,1020,1032,1044,1047,1055,1068,1070,1079,1095,1102,1109,1117,1125,1134,1146,1149,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,30,42,48,53,63,76,79,88,95,110,117,125,132,141,146,161,168,179,315,324,333,336,345,357,361,371,378,395,403,410,416,424,434,440,599,605,610,620,628,639,648,659,664,674,677,686,699,707,718,723,732,742,749,761,765,772,784,792,798,807,821,823,834,845,853,864,873,881,886,896,906,914,922,927,939,945,952,967,970,983,986,998,1002,1018,1022,1035,1038,1049,1054,1062,1073,1084,1091,1100,1112,1118,1126,1136,1144,1155,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,33,35,44,53,64,74,79,91,100,106,112,119,135,141,152,155,163,179,313,326,333,335,349,359,364,377,384,389,399,406,417,426,431,446,447,606,610,622,626,643,647,658,668,675,685,688,697,710,718,720,733,738,754,756,766,772,785,794,800,810,819,823,833,842,854,863,870,874,884,896,906,915,925,933,939,948,954,964,969,982,992,1000,1007,1012,1026,1033,1044,1053,1057,1063,1073,1083,1091,1098,1110,1113,1127,1131,1143,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,26,39,48,59,63,70,83,89,93,103,117,125,135,144,145,159,165,176,317,321,334,336,344,355,361,370,383,393,399,409,417,421,433,444,458,605,612,620,626,642,646,656,668,674,680,688,703,704,717,720,730,743,751,759,767,773,784,795,805,809,822,829,833,842,848,862,872,878,890,894,900,911,922,927,935,946,953,961,975,984,993,995,1006,1018,1022,1028,1037,1045,1061,1064,1071,1086,1094,1098,1112,1120,1128,1135,1143,1148,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,33,39,47,54,62,74,84,87,98,103,114,125,129,136,148,156,165,178,313,319,329,339,346,355,364,370,384,393,397,407,416,421,431,442,465,602,616,621,631,641,648,653,668,676,677,690,701,704,714,725,731,742,748,759,768,778,786,788,803,809,817,825,839,845,850,862,865,881,890,899,900,909,919,932,935,944,959,967,973,977,989,1000,1003,1011,1019,1032,1041,1046,1058,1070,1074,1086,1093,1103,1111,1117,1122,1136,1140,1155,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,26,42,49,57,63,68,81,87,96,104,113,119,134,142,148,155,162,174,316,325,330,341,349,360,368,373,384,394,401,403,416,421,437,445,447,605,611,622,627,637,651,655,666,676,681,692,696,704,714,728,737,744,749,760,763,775,785,795,799,810,821,825,834,847,856,865,870,881,886,894,908,911,918,932,941,942,957,962,976,981,988,998,1004,1017,1027,1029,1038,1052,1060,1070,1077,1086,1090,1096,1105,1119,1125,1131,1139,1153,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,32,37,45,54,60,75,78,86,102,105,118,122,135,143,147,154,168,174,315,323,333,336,349,355,365,372,386,393,395,409,416,420,437,443,449,601,617,621,627,637,645,654,661,673,683,692,697,704,717,728,735,739,746,757,770,772,784,796,799,806,814,825,832,848,853,865,873,879,885,891,907,910,919,926,937,949,954,960,974,976,985,996,1006,1014,1019,1035,1044,1050,1056,1068,1077,1081,1089,1101,1107,1115,1124,1138,1141,1148,1157,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,18,27,40,44,57,66,76,83,88,101,105,113,125,128,140,147,161,166,174,315,320,330,335,347,359,364,374,386,391,401,405,416,429,432,439,596,607,612,618,629,641,645,657,667,670,679,691,697,711,716,724,735,743,752,759,769,776,784,795,803,812,814,825,831,844,853,862,870,881,889,892,907,911,917,933,941,948,953,964,976,985,991,1000,1003,1017,1020,1035,1037,1048,1059,1067,1075,1086,1093,1100,1110,1113,1124,1138,1146,1155,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,27,35,48,57,64,74,77,92,101,105,114,125,133,138,150,154,162,171,314,320,328,340,347,353,366,374,381,393,399,406,416,427,435,444,596,603,610,620,630,638,644,653,660,674,681,693,700,705,714,728,735,740,753,761,763,778,786,789,798,810,822,830,835,848,855,865,873,875,886,899,901,911,917,930,942,944,954,965,971,982,990,1000,1006,1013,1022,1031,1038,1045,1058,1067,1078,1087,1090,1103,1111,1115,1125,1135,1140,1147,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,28,37,47,52,63,74,84,88,101,107,118,126,129,144,146,157,168,173,313,326,328,337,348,358,364,371,379,394,398,410,420,427,436,443,469,600,612,623,631,638,649,654,663,672,684,688,701,708,717,726,733,737,752,762,766,778,784,789,801,806,822,829,836,843,854,859,867,875,884,893,900,916,918,928,938,950,957,966,969,981,991,998,1007,1014,1025,1035,1037,1045,1058,1065,1071,1079,1094,1097,1109,1114,1122,1131,1145,1151,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,28,39,47,59,62,74,80,92,95,105,112,119,128,143,145,158,169,174,317,321,329,338,348,358,365,375,386,388,399,408,419,427,437,439,597,608,611,623,631,643,651,655,663,677,682,691,697,704,719,721,736,741,753,756,770,776,783,793,803,813,817,823,836,842,856,859,873,879,891,899,902,911,921,930,936,946,955,965,972,977,987,998,1004,1016,1023,1029,1042,1045,1060,1066,1075,1085,1089,1100,1109,1114,1124,1131,1138,1147,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,26,41,47,54,62,74,80,93,100,104,113,125,136,142,151,158,163,178,185,318,329,343,349,360,364,375,383,388,402,403,418,428,432,441,599,608,610,620,634,635,652,655,668,672,683,694,696,705,718,723,729,744,747,760,770,775,784,789,804,812,819,828,838,843,853,862,866,878,884,896,901,913,918,926,941,948,957,965,972,982,987,995,1007,1018,1020,1035,1043,1046,1054,1067,1071,1080,1088,1099,1112,1120,1122,1130,1143,1147,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,20,31,37,47,52,62,75,79,87,95,103,115,124,133,138,148,157,164,177,190,326,327,336,350,359,367,372,385,387,398,405,415,423,430,445,596,607,611,626,633,637,646,656,663,669,683,688,699,705,712,728,730,744,753,755,769,779,782,795,798,813,814,831,839,841,855,863,873,880,884,893,900,910,920,929,937,950,951,961,969,983,988,995,1007,1010,1027,1031,1044,1047,1056,1068,1070,1085,1094,1103,1109,1120,1127,1136,1147,1153,1161,1165	0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,18,29,36,50,52,64,69,80,87,96,105,118,121,129,138,148,157,164,178,196,325,328,343,344,353,364,370,383,388,400,411,417,425,432,438,597,601,613,620,627,640,643,654,669,670,681,693,698,703,718,720,729,742,747,763,768,775,786,796,797,806,819,826,832,845,852,861,872,879,882,899,903,910,924,931,939,946,952,966,968,979,985,999,1002,1015,1027,1031,1042,1052,1056,1067,1073,1087,1094,1099,1108,1113,1124,1136,1141,1154,1156,1166	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,25,30,39,46,58,65,72,82,93,95,103,118,120,130,138,153,159,169,177,188,323,335,341,345,357,361,370,380,389,401,410,415,421,437,440,598,605,610,623,632,638,645,658,665,670,678,687,701,705,713,722,735,738,751,755,763,774,785,792,801,812,817,830,837,844,850,859,866,877,888,891,904,914,920,931,941,950,953,965,976,984,992,1001,1003,1011,1024,1032,1036,1048,1053,1068,1076,1084,1091,1103,1107,1121,1122,1133,1139,1147,1160,1168,1175	0,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,20,27,35,47,57,60,70,77,88,98,109,118,126,130,142,145,161,164,173,187,321,334,341,346,353,365,376,381,390,397,410,417,422,437,440,451,608,614,624,627,635,646,655,663,675,679,693,697,709,715,728,737,740,746,758,765,777,788,793,799,807,820,829,831,844,854,859,871,882,889,893,900,914,916,925,935,947,958,963,968,984,989,1000,1010,1016,1022,1036,1038,1052,1056,1063,1074,1082,1094,1102,1109,1116,1129,1132,1140,1153,1163,1172	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,18,28,40,46,56,62,72,80,92,101,109,113,123,135,142,152,156,163,174,185,324,332,341,352,360,367,373,380,389,402,403,417,427,429,442,470,607,610,618,629,635,649,652,667,677,681,692,702,707,717,728,731,743,748,754,770,778,781,789,802,809,816,828,832,842,851,860,867,880,889,892,901,909,917,930,941,945,955,964,974,981,992,994,1004,1013,1019,1032,1042,1052,1056,1063,1073,1081,1088,1103,1109,1116,1128,1132,1144,1155,1163,1169,1178	1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,17,32,42,48,55,62,75,81,87,97,104,114,127,130,143,148,160,168,174,183,320,332,337,350,357,363,374,379,387,396,410,419,424,437,445,454,602,611,621,629,641,648,652,668,673,679,691,702,707,711,726,733,745,754,757,765,779,786,796,800,812,815,828,833,843,852,860,865,882,887,897,907,910,918,932,938,949,953,963,972,980,987,994,1004,1017,1024,1030,1044,1046,1060,1062,1072,1083,1094,1099,1106,1119,1125,1132,1141,1150,1160,1172	1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,13,19,30,38,47,54,63,76,79,92,94,105,115,125,129,141,153,157,167,176,180,319,334,336,346,353,363,371,382,389,398,406,419,425,435,440,597,605,611,625,627,638,645,656,661,675,683,687,696,705,719,726,734,742,748,756,765,774,785,792,801,811,814,823,837,841,849,860,867,877,886,898,902,915,919,932,936,950,958,960,971,981,988,994,1005,1018,1025,1030,1036,1051,1060,1070,1073,1080,1092,1097,1109,1115,1126,1137,1142,1149,1156,1172	0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,25,29,37,44,54,64,76,78,87,100,106,116,125,135,137,147,162,168,174,316,319,333,338,344,360,366,377,381,391,396,404,412,423,434,438,456,609,616,618,633,639,650,653,661,676,684,692,700,711,712,720,732,744,753,763,767,779,783,797,798,811,822,826,837,844,851,859,867,878,889,892,907,914,920,932,940,943,955,966,975,979,987,996,1008,1015,1022,1028,1041,1052,1055,1065,1070,1082,1091,1098,1109,1116,1127,1136,1144,1150,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,30,35,50,55,67,70,77,90,96,109,118,127,128,144,147,158,166,171,179,320,327,343,345,357,367,371,379,388,401,411,414,425,434,438,598,605,617,620,631,637,648,654,663,673,683,686,703,709,713,728,733,739,747,761,765,779,781,794,797,806,820,827,840,842,850,865,873,875,883,899,902,910,920,926,936,945,957,960,976,983,993,997,1004,1018,1025,1033,1041,1045,1054,1068,1076,1085,1093,1104,1108,1115,1130,1138,1140,1150,1164,1165,1174	1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,11,20,31,37,48,54,67,74,83,92,102,103,112,123,129,138,147,161,163,177,184,324,328,343,347,358,368,374,380,390,400,403,419,427,429,445,598,608,616,619,632,641,651,660,666,670,684,692,696,707,712,726,736,741,753,757,768,772,783,791,798,808,822,823,834,842,853,861,867,877,890,896,907,913,917,925,937,948,951,966,968,980,992,996,1003,1012,1025,1028,1036,1052,1056,1062,1071,1082,1088,1104,1108,1116,1128,1138,1139,1153,1159,1167	1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
4,16,25,29,36,50,52,62,69,82,88,101,104,114,124,128,137,148,154,170,175,191,325,329,340,348,353,365,371,382,390,399,406,419,426,437,443,598,601,617,620,629,637,643,656,667,672,681,691,701,704,717,728,734,737,747,754,765,777,788,789,799,806,817,827,838,841,850,861,871,881,883,897,900,913,922,929,935,943,951,964,971,985,991,994,1008,1011,1026,1031,1037,1050,1059,1068,1071,1087,1094,1103,1108,1120,1125,1136,1139,1153,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,25,33,41,48,56,65,75,78,88,100,104,115,121,133,138,149,157,168,175,197,320,333,339,349,360,363,374,380,391,401,407,413,424,432,438,454,604,612,619,632,642,649,654,669,675,679,689,698,705,719,728,734,745,754,756,767,776,785,793,797,807,821,824,836,840,849,858,870,882,889,897,904,916,924,931,938,943,959,960,975,982,990,997,1003,1012,1022,1030,1043,1048,1059,1067,1077,1083,1089,1104,1111,1120,1130,1131,1139,1153,1163,1172,1176	1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,16,24,29,39,50,53,67,73,79,89,98,104,111,124,133,137,148,161,162,176,198,325,332,340,348,359,365,376,383,389,396,407,415,427,431,441,457,604,612,620,632,636,650,659,666,669,685,691,701,708,715,721,737,738,748,761,771,772,783,792,798,812,821,829,836,843,855,859,871,874,884,892,907,911,922,930,941,951,955,960,974,981,987,998,1004,1012,1024,1035,1039,1047,1058,1063,1077,1083,1093,1099,1110,1119,1122,1135,1146,1155,1160,1165,1175	0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,18,27,34,43,59,60,72,83,90,99,105,114,127,132,144,152,156,170,175,191,318,330,341,345,359,361,372,380,388,397,410,415,423,429,442,600,603,615,624,627,639,650,657,669,674,679,689,696,703,717,723,737,741,753,762,764,773,782,790,803,813,821,823,839,841,854,861,867,881,886,897,903,910,924,933,938,946,952,962,975,983,990,999,1006,1017,1021,1028,1042,1047,1053,1064,1071,1086,1090,1102,1113,1117,1123,1131,1139,1152,1159,1168	0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,26,42,44,54,62,75,82,93,97,106,112,124,130,143,153,159,168,176,316,326,329,336,351,356,368,375,383,392,403,408,412,427,435,443,600,606,614,624,626,643,646,658,663,670,679,690,698,711,715,727,732,740,750,762,769,779,783,789,799,807,815,823,832,845,852,858,873,877,883,892,907,912,923,932,941,944,954,963,971,984,986,1001,1009,1011,1026,1034,1042,1049,1054,1068,1072,1081,1089,1096,1110,1118,1125,1136,1141,1154,1163,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,30,41,45,54,60,70,80,89,99,108,118,127,129,137,148,155,164,172,315,325,327,341,350,352,361,374,385,393,398,409,419,425,429,441,600,603,612,623,629,643,645,653,666,673,678,690,697,709,718,727,730,742,746,756,769,778,783,792,804,812,814,828,838,842,855,858,868,874,888,895,904,914,924,933,939,948,956,963,972,978,987,999,1002,1014,1027,1031,1044,1047,1054,1065,1077,1081,1093,1099,1112,1121,1123,1133,1141,1148,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,30,34,46,55,61,73,80,89,100,107,112,121,135,140,149,160,168,177,317,324,328,342,344,354,368,374,383,388,400,410,412,420,434,445,597,607,617,623,634,640,649,658,661,676,682,688,699,706,715,726,736,745,749,759,770,777,781,790,805,811,818,830,839,844,853,865,872,876,886,899,907,911,923,928,935,942,957,962,975,984,993,995,1010,1011,1019,1031,1037,1048,1056,1070,1077,1083,1095,1099,1105,1117,1121,1131,1146,1148,1160,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,31,37,43,54,67,70,81,87,95,102,117,120,129,140,148,157,164,176,313,326,330,335,347,352,364,371,381,386,398,404,418,427,429,444,455,607,617,619,627,639,648,652,663,674,681,694,700,711,713,726,732,738,754,762,769,775,785,793,801,806,818,828,836,848,849,863,870,880,890,896,907,908,925,929,940,947,959,964,971,977,991,995,1002,1010,1021,1028,1044,1051,1058,1067,1072,1083,1089,1103,1105,1117,1124,1138,1139,1151,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,22,32,38,47,57,60,76,80,85,98,110,111,127,132,143,146,156,163,175,317,326,334,343,344,357,369,372,386,393,403,411,415,429,431,444,460,601,616,618,633,639,646,656,668,670,680,691,701,710,716,726,736,742,752,755,763,772,781,794,803,813,818,830,833,844,855,859,873,879,887,894,903,916,918,932,936,949,954,965,974,977,987,997,1005,1019,1021,1028,1042,1049,1061,1065,1071,1086,1091,1103,1113,1114,1125,1132,1143,1151,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,33,39,45,51,61,69,82,88,99,104,113,125,129,144,147,158,166,176,314,321,329,336,344,357,368,375,384,394,399,411,417,428,429,440,451,607,614,623,627,641,646,656,665,672,681,686,699,709,720,724,731,745,752,756,766,772,782,795,800,807,814,826,836,843,856,864,865,879,886,894,902,913,918,928,941,947,957,964,970,977,991,994,1008,1019,1021,1027,1043,1052,1061,1069,1075,1081,1096,1101,1108,1118,1129,1131,1143,1152,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,27,34,45,55,60,70,79,85,100,108,117,127,136,137,153,156,167,178,314,325,332,336,348,357,366,372,378,392,400,409,414,422,437,445,596,602,616,624,630,642,649,660,663,671,680,686,695,709,714,727,731,742,747,760,769,778,781,789,802,809,819,823,838,843,850,857,866,882,890,891,904,909,922,926,940,945,958,959,973,982,993,1000,1007,1014,1023,1034,1040,1047,1061,1063,1074,1082,1094,1101,1106,1116,1129,1137,1147,1154,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,33,41,46,57,63,71,82,87,94,103,113,123,133,139,147,161,165,170,316,319,328,342,351,353,365,375,380,392,397,411,412,425,429,445,597,603,614,620,633,641,649,653,665,676,678,691,702,711,712,724,733,740,754,760,767,772,783,795,798,808,820,826,834,845,856,861,872,881,889,893,900,915,923,932,941,945,959,965,970,979,986,999,1009,1014,1026,1029,1037,1048,1061,1064,1071,1084,1090,1104,1110,1118,1126,1134,1142,1153,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,26,37,44,56,60,72,83,87,100,110,116,126,129,142,149,156,168,177,184,322,329,343,346,355,369,377,383,394,397,411,413,425,436,438,599,602,615,618,627,641,652,659,668,676,683,688,695,704,719,723,733,744,752,760,768,780,787,796,803,813,817,827,838,848,849,858,872,877,883,899,904,913,920,925,940,949,951,966,968,982,990,1001,1008,1013,1019,1032,1041,1046,1059,1062,1072,1080,1093,1097,1111,1116,1129,1134,1143,1152,1156,1172,1175	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,16,23,31,41,47,54,64,70,83,86,100,107,115,122,133,145,148,159,168,175,316,325,328,341,345,356,367,374,382,389,401,407,412,428,437,439,599,609,612,624,627,635,646,657,662,672,682,688,698,711,712,728,736,741,748,756,769,778,786,795,798,809,818,824,835,848,855,860,868,881,883,897,903,913,921,930,940,944,952,961,968,977,988,994,1008,1017,1019,1030,1044,1049,1056,1062,1070,1084,1092,1098,1105,1118,1123,1137,1143,1152,1164,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,25,29,34,46,55,61,68,84,90,100,105,112,120,130,140,152,161,169,172,315,325,333,336,352,355,361,372,378,388,399,411,412,425,434,438,597,601,612,624,634,638,647,658,664,674,681,691,698,709,713,725,736,742,748,756,771,776,786,790,797,813,816,825,834,841,855,862,872,880,885,895,901,916,925,933,938,946,952,962,969,979,986,993,1004,1012,1025,1033,1037,1049,1056,1062,1074,1082,1090,1101,1111,1115,1122,1132,1142,1148,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,33,38,50,58,67,74,81,89,101,107,111,125,132,137,148,160,164,177,313,320,335,343,348,356,368,370,384,394,399,411,413,423,434,443,597,605,617,623,627,635,649,656,668,669,685,692,697,709,714,727,730,744,749,762,770,774,784,790,804,807,814,829,834,841,853,859,867,881,886,896,901,912,921,932,937,950,958,964,970,981,986,995,1008,1017,1023,1033,1038,1047,1058,1068,1077,1080,1089,1101,1106,1114,1130,1137,1139,1151,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,24,28,34,49,58,61,76,79,93,95,109,114,121,131,139,146,156,165,171,317,324,329,342,346,355,369,371,385,393,396,406,413,428,431,439,470,605,610,623,627,635,649,659,662,676,685,692,694,710,717,724,730,745,748,758,764,772,786,794,803,806,821,826,836,841,855,862,870,879,888,892,902,913,920,930,940,946,956,966,973,978,986,994,1008,1018,1025,1032,1043,1049,1061,1070,1076,1082,1094,1103,1111,1117,1125,1137,1143,1150,1157,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,27,41,43,51,63,71,79,93,95,102,112,125,133,140,146,153,165,179,195,318,333,340,345,360,367,369,383,387,398,411,415,423,430,439,462,607,611,623,630,638,649,660,667,673,680,693,695,706,711,722,734,745,753,757,771,780,787,795,800,813,816,827,834,846,856,857,872,882,888,894,907,916,924,931,938,949,954,965,970,981,988,995,1008,1012,1023,1036,1037,1047,1053,1067,1075,1083,1091,1104,1109,1117,1127,1137,1139,1155,1160,1166,1174	1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,19,31,38,45,51,64,73,78,91,98,103,119,126,132,137,150,154,164,172,313,323,332,340,349,356,363,369,386,393,401,407,420,425,429,445,456,603,613,626,629,640,649,660,664,671,683,687,702,705,719,725,733,741,752,760,767,773,787,791,802,809,817,824,836,841,852,864,869,878,890,894,907,914,918,927,941,948,951,966,970,984,991,997,1005,1017,1021,1031,1044,1050,1060,1067,1072,1081,1092,1104,1108,1120,1125,1136,1143,1154,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,31,42,45,58,66,71,83,85,94,110,118,125,132,141,153,158,169,171,316,324,328,335,348,359,363,374,383,392,399,411,415,420,430,439,600,604,611,620,626,637,648,658,663,672,683,691,701,709,716,722,729,744,747,756,767,778,787,789,800,806,817,831,837,841,857,859,873,880,890,899,903,914,918,933,937,951,956,966,970,980,986,998,1007,1016,1025,1029,1036,1048,1054,1067,1072,1083,1095,1102,1109,1116,1127,1132,1145,1148,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,26,37,44,59,67,74,81,89,101,104,114,124,134,143,145,156,167,175,317,321,329,343,345,357,365,370,382,389,395,412,416,428,434,439,596,601,610,621,634,641,649,658,667,676,680,689,699,706,716,727,736,738,748,760,769,773,785,794,805,811,819,829,838,841,852,863,869,878,882,899,906,914,917,930,934,948,957,962,972,977,990,995,1009,1013,1022,1036,1038,1047,1059,1070,1071,1083,1090,1098,1109,1117,1124,1136,1145,1154,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,32,42,44,56,60,71,84,91,102,103,117,121,129,140,148,154,168,174,313,326,335,336,344,356,368,375,381,388,398,410,414,424,435,439,597,601,611,626,627,639,644,652,663,671,680,687,700,703,718,726,733,741,751,757,768,779,782,796,804,813,821,822,839,847,851,857,869,880,884,895,900,915,918,927,942,948,957,963,973,977,992,1000,1003,1015,1023,1030,1038,1047,1053,1064,1070,1087,1091,1097,1108,1117,1129,1135,1142,1153,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,32,40,44,55,67,76,79,86,99,103,116,124,130,143,146,156,167,175,318,326,330,340,351,358,368,372,385,388,402,406,412,427,431,438,600,606,617,618,628,641,646,655,667,674,677,691,703,709,718,725,730,740,749,755,763,773,788,790,801,808,817,824,832,846,855,865,871,878,886,899,900,914,919,926,937,949,955,961,973,983,991,996,1010,1014,1022,1031,1040,1045,1055,1069,1077,1082,1091,1102,1108,1117,1126,1133,1140,1148,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,32,42,44,53,61,70,84,89,101,105,118,126,131,140,149,161,166,175,313,321,330,338,346,356,366,373,381,394,403,410,414,429,436,444,597,605,612,626,629,636,645,657,667,672,680,690,703,707,712,725,736,739,749,756,771,776,787,796,803,813,816,830,837,841,856,862,871,879,886,893,906,913,917,931,934,944,956,962,969,984,988,1000,1006,1012,1024,1036,1041,1049,1057,1066,1075,1083,1094,1103,1108,1113,1129,1136,1143,1155,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,28,35,49,54,65,71,80,85,97,104,117,123,132,144,153,158,163,176,314,326,327,342,347,357,361,375,381,393,395,409,418,424,430,438,596,602,611,626,627,642,650,654,663,676,681,691,701,705,719,727,732,739,746,759,768,779,788,791,800,809,815,824,835,844,852,860,866,877,883,892,906,913,923,927,940,948,954,965,973,976,989,993,1009,1016,1021,1028,1038,1048,1053,1068,1079,1085,1087,1097,1106,1115,1124,1132,1146,1156,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,19,30,42,43,58,62,70,77,89,97,108,117,126,135,140,147,154,169,174,316,320,327,342,347,359,361,376,380,394,402,411,413,425,436,439,599,605,613,618,633,640,647,655,662,671,677,686,695,706,712,723,732,741,747,762,765,773,786,793,799,812,819,829,834,843,849,857,869,875,883,896,901,911,919,931,938,951,958,963,971,980,990,997,1005,1019,1021,1033,1037,1049,1061,1064,1073,1080,1092,1101,1107,1119,1124,1132,1147,1151,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,20,27,36,49,58,60,75,81,90,98,102,118,123,130,138,152,159,165,178,314,325,332,342,346,356,368,377,384,390,400,406,416,427,429,442,469,609,614,624,630,641,648,655,662,672,685,694,703,710,717,720,729,745,748,760,770,771,783,794,802,812,821,825,832,843,849,861,870,876,884,898,904,916,917,928,935,950,951,965,974,977,989,999,1003,1010,1023,1030,1038,1045,1055,1062,1077,1082,1094,1103,1107,1118,1125,1135,1138,1155,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,32,38,44,53,67,74,79,85,100,110,115,126,133,139,151,161,167,174,315,326,327,340,347,353,364,374,382,390,400,410,418,428,436,443,596,607,617,626,634,638,643,653,661,670,682,691,695,705,715,721,736,737,754,759,768,772,783,791,802,810,820,827,839,844,852,864,872,881,886,891,902,913,922,928,941,949,957,961,970,982,989,998,1003,1016,1025,1033,1042,1050,1062,1067,1072,1085,1095,1100,1109,1116,1129,1130,1143,1150,1159,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,30,36,43,58,59,74,83,86,98,109,113,123,132,139,152,156,163,174,316,326,328,339,350,354,367,376,381,394,401,408,416,420,431,444,599,602,611,618,632,641,643,653,665,671,681,687,695,711,713,727,736,745,746,759,766,779,783,793,801,811,816,823,831,841,854,863,870,878,887,897,902,916,918,929,935,943,956,962,968,976,990,1002,1007,1016,1020,1036,1042,1049,1060,1063,1075,1086,1090,1098,1112,1119,1123,1132,1142,1150,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,24,29,41,46,56,65,73,82,91,95,105,111,121,128,138,151,156,164,172,314,321,332,342,352,360,369,375,378,392,399,410,415,428,429,443,600,601,614,620,631,638,645,658,666,669,679,689,697,709,719,721,734,742,751,757,767,775,784,790,803,809,814,825,838,843,850,863,865,881,886,893,907,911,921,932,938,950,954,962,968,978,992,999,1003,1015,1020,1035,1044,1051,1061,1067,1074,1083,1090,1101,1110,1114,1124,1131,1140,1154,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,30,38,43,58,62,72,83,87,98,103,117,120,132,139,151,160,164,175,315,324,330,338,350,353,362,370,383,389,396,406,416,421,436,445,466,607,613,620,629,636,649,659,662,670,685,694,700,709,714,724,735,742,751,758,768,777,782,794,804,810,821,829,839,845,855,858,867,878,889,897,904,914,919,929,934,946,958,967,976,977,992,998,1006,1016,1019,1033,1044,1050,1059,1068,1076,1081,1094,1098,1105,1117,1129,1134,1143,1151,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,20,29,34,43,56,61,73,82,88,101,102,118,120,134,139,151,157,162,178,181,319,335,336,348,360,367,373,379,389,402,407,420,426,431,444,600,605,610,623,627,640,647,654,666,677,685,686,699,709,714,724,730,743,749,758,768,779,781,795,800,810,815,828,834,843,849,859,872,876,884,899,900,915,923,929,941,950,953,961,969,983,988,997,1008,1017,1020,1031,1041,1050,1060,1065,1077,1079,1090,1099,1112,1121,1126,1131,1145,1152,1161,1171,1173	1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,17,32,41,44,54,63,70,79,88,95,104,118,127,129,139,152,158,164,179,184,326,333,337,346,359,365,369,382,394,397,411,413,424,436,438,600,606,609,619,626,642,644,655,665,672,682,691,701,706,718,726,729,738,746,761,766,777,787,791,801,811,816,829,835,842,854,861,866,874,889,891,901,916,920,930,935,944,952,963,973,978,989,996,1010,1018,1020,1035,1038,1049,1056,1069,1077,1083,1094,1103,1104,1120,1122,1135,1143,1150,1164,1172,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,23,27,41,47,53,65,74,83,86,101,102,111,125,136,144,151,159,163,179,189,323,334,341,347,353,366,370,381,388,396,411,413,427,435,439,597,608,614,624,634,636,645,653,663,676,684,687,701,707,720,722,736,740,747,755,764,776,782,795,797,811,816,828,836,843,856,861,870,879,887,898,906,912,917,930,941,942,951,966,971,984,985,995,1010,1014,1020,1032,1036,1053,1057,1068,1076,1086,1088,1100,1112,1121,1130,1133,1141,1153,1162,1165,1173	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,15,21,27,35,49,57,62,71,82,87,101,109,117,122,133,140,148,154,167,175,185,321,330,338,344,355,367,376,386,394,401,405,412,428,431,445,454,607,616,626,630,642,648,655,660,673,685,689,698,706,715,725,734,744,747,755,765,775,782,797,803,806,822,823,833,840,848,858,870,880,890,899,903,910,917,929,935,948,952,965,971,980,986,995,1008,1018,1024,1029,1036,1053,1061,1067,1072,1079,1088,1099,1112,1119,1126,1135,1140,1153,1159,1167	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,19,32,39,50,51,61,74,77,88,100,102,114,120,132,140,153,158,163,171,189,326,334,341,350,359,364,370,380,387,399,406,420,426,435,441,597,607,614,625,628,637,649,652,667,669,678,694,702,703,716,728,733,741,749,762,764,777,788,793,799,810,815,828,835,847,850,860,868,881,888,896,905,914,919,933,938,947,954,959,968,976,991,994,1009,1014,1023,1034,1038,1046,1058,1068,1078,1082,1093,1100,1111,1113,1130,1132,1141,1154,1162,1165,1173	1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,14,22,28,41,50,57,64,73,78,86,99,108,116,126,133,139,147,156,164,173,184,321,331,338,349,352,367,369,378,393,402,407,413,428,432,440,600,608,615,622,632,638,646,654,664,673,680,687,696,709,719,723,730,742,750,758,765,774,784,796,803,807,819,829,832,848,850,861,873,876,889,898,907,908,919,928,939,946,951,961,970,976,993,1000,1008,1016,1026,1029,1041,1045,1061,1066,1073,1084,1094,1098,1107,1118,1123,1130,1139,1151,1160,1171	0,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,12,19,29,35,46,51,60,72,84,86,101,107,112,125,131,139,147,160,170,174,180,324,333,342,345,354,367,369,379,388,403,404,416,428,429,440,451,607,615,621,633,638,644,656,660,673,678,687,699,704,718,727,736,741,752,759,763,775,786,789,799,810,815,828,839,840,855,857,872,877,886,896,903,915,923,928,938,945,955,962,972,980,987,1000,1009,1017,1026,1029,1036,1052,1057,1066,1075,1083,1092,1098,1107,1115,1123,1138,1145,1148,1156,1166,1177	1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,22,26,35,51,59,61,75,78,89,101,102,113,120,134,140,149,154,164,178,317,325,333,339,349,360,363,369,380,390,400,409,412,424,434,445,453,605,617,622,632,639,645,658,662,671,683,692,695,705,714,720,730,743,754,756,763,777,786,796,798,812,821,831,836,846,850,858,873,877,883,892,900,909,918,925,941,949,957,965,968,978,991,1001,1008,1017,1025,1031,1040,1052,1055,1065,1070,1084,1091,1103,1105,1118,1130,1137,1143,1150,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,31,39,43,53,68,74,79,91,95,110,113,126,133,138,152,155,163,174,188,323,335,338,352,358,365,377,381,394,400,411,417,425,430,440,469,608,611,624,632,635,651,655,662,675,685,686,696,708,712,720,737,745,747,757,770,776,782,790,805,806,821,827,831,841,855,858,867,874,889,899,903,915,917,933,941,946,953,961,969,982,991,1000,1006,1013,1027,1033,1040,1051,1057,1065,1078,1086,1087,1099,1108,1117,1127,1135,1146,1149,1163,1168,1177	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,23,32,42,46,57,66,71,77,92,95,105,113,127,136,143,149,153,163,173,188,321,331,341,344,357,367,372,381,392,401,408,416,424,434,442,597,602,611,620,630,637,645,655,667,670,684,692,702,706,712,722,729,742,748,757,765,778,780,793,802,810,822,830,836,843,850,863,870,874,884,891,901,911,918,927,940,943,952,966,974,978,991,997,1003,1011,1024,1030,1038,1050,1057,1068,1078,1087,1093,1099,1112,1120,1125,1130,1145,1154,1158,1165,1176	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
8,11,19,32,41,44,56,68,72,78,92,100,110,117,125,130,142,152,156,166,175,187,322,331,337,344,353,366,377,379,391,402,406,413,425,430,438,466,604,617,622,631,637,645,652,668,674,682,690,697,706,718,724,733,742,747,755,765,777,784,796,803,809,816,831,838,841,852,857,872,877,888,894,907,915,920,932,941,944,952,963,969,979,993,999,1010,1012,1027,1030,1042,1047,1055,1065,1073,1082,1092,1104,1112,1116,1123,1132,1146,1151,1161,1167,1176	0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,23,29,34,45,55,65,70,81,92,97,104,115,126,128,141,146,161,169,179,180,320,334,343,348,358,363,375,380,392,396,405,412,424,429,441,455,608,615,624,634,640,650,654,668,675,680,691,696,709,720,722,729,742,750,761,763,772,786,793,801,806,815,830,832,844,855,863,867,877,886,891,907,916,921,931,942,947,956,966,973,983,992,1002,1004,1018,1019,1029,1038,1046,1058,1065,1077,1085,1087,1098,1108,1118,1126,1134,1138,1155,1160,1169,1177	0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,14,18,30,39,48,59,66,75,84,88,94,109,118,121,134,143,153,157,167,175,181,321,331,335,348,354,369,372,379,392,396,404,414,426,436,438,598,601,610,625,631,642,647,658,668,676,684,691,699,704,715,723,734,745,751,758,770,778,785,789,798,809,818,824,836,843,851,860,867,878,889,899,906,913,924,926,938,947,956,962,974,978,986,996,1006,1017,1023,1034,1037,1048,1054,1070,1079,1086,1094,1101,1113,1116,1129,1132,1143,1154,1156,1165	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,21,27,40,43,57,63,75,79,88,97,104,117,127,134,137,145,157,170,176,184,319,331,337,346,352,365,373,383,391,400,404,417,424,435,438,600,605,612,623,626,641,652,658,661,670,684,689,698,710,716,729,736,739,746,755,764,774,784,790,802,810,822,826,834,842,852,859,870,881,889,892,905,910,920,928,941,948,959,960,974,983,991,1001,1006,1013,1024,1031,1042,1045,1059,1070,1078,1087,1091,1098,1108,1119,1124,1130,1146,1151,1157,1166,1178	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,24,26,37,49,53,64,70,79,93,102,104,118,119,130,136,152,161,165,171,316,319,333,340,345,360,362,371,383,386,399,410,417,426,434,442,600,602,614,621,634,639,649,658,668,676,685,694,702,708,713,725,731,740,749,756,770,778,782,790,801,805,814,823,837,845,856,864,868,882,886,898,903,908,921,925,934,944,958,964,974,983,986,1002,1006,1012,1021,1031,1042,1053,1060,1069,1072,1087,1092,1104,1105,1115,1128,1131,1140,1151,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,26,40,43,55,64,69,79,88,99,105,114,124,134,140,149,155,164,174,317,321,334,339,350,357,366,375,386,394,402,405,412,425,430,445,598,607,610,625,626,638,647,652,660,671,679,687,695,711,713,726,736,744,751,755,763,774,782,795,804,814,820,828,833,847,850,863,866,882,887,898,903,909,918,925,935,947,953,960,975,976,986,998,1006,1013,1020,1028,1037,1052,1059,1066,1074,1080,1087,1098,1107,1114,1126,1133,1146,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,29,37,43,52,63,70,80,89,101,106,113,122,134,140,148,159,167,172,313,318,335,337,351,359,367,373,379,387,403,409,416,421,435,440,459,601,614,621,631,638,650,657,667,671,683,693,702,703,717,722,737,744,747,760,769,773,786,795,799,813,814,828,834,842,855,863,871,879,888,898,907,912,923,926,939,947,951,960,968,978,992,998,1009,1015,1020,1032,1044,1050,1054,1069,1073,1081,1089,1098,1108,1119,1127,1136,1142,1153,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,30,38,50,55,62,71,82,89,98,108,118,124,136,142,151,155,168,178,317,319,334,343,351,359,369,375,382,389,401,409,417,425,435,441,598,606,609,624,632,643,645,654,662,675,678,693,701,706,716,724,735,740,751,759,765,778,784,792,803,813,822,827,832,843,854,859,870,878,890,899,902,909,925,933,939,947,954,964,972,983,988,996,1009,1015,1024,1033,1043,1048,1058,1070,1074,1079,1095,1099,1107,1121,1124,1137,1145,1153,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,22,31,39,43,51,61,74,82,88,96,104,113,119,134,140,147,162,166,171,315,322,334,342,344,358,364,371,383,388,397,407,416,423,429,445,463,608,613,622,629,636,649,654,668,675,679,693,696,703,714,727,735,742,753,759,771,775,781,789,802,806,814,823,835,845,854,864,873,877,885,896,905,910,918,930,936,946,956,964,968,978,988,995,1004,1013,1024,1035,1036,1047,1060,1067,1072,1085,1088,1098,1111,1113,1124,1135,1139,1150,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,17,31,37,43,59,63,75,79,89,100,105,117,123,136,142,150,158,162,172,317,319,334,342,345,353,369,370,380,389,397,411,418,424,437,438,468,601,613,625,628,637,649,653,662,675,682,692,702,711,717,721,731,746,750,756,765,777,781,794,799,810,819,824,834,844,850,864,869,876,888,891,905,915,924,931,940,945,959,960,973,979,991,994,1006,1017,1026,1036,1040,1050,1059,1062,1073,1081,1089,1103,1112,1119,1125,1132,1143,1150,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,28,40,46,54,62,74,77,89,94,107,117,128,132,144,150,160,163,172,314,325,327,335,350,357,366,377,382,392,403,406,412,425,436,443,599,602,617,618,630,635,645,654,667,669,679,690,701,708,718,727,731,743,753,758,768,780,785,793,801,807,818,824,831,843,855,862,868,877,884,899,902,912,925,927,935,944,955,962,973,976,991,999,1009,1017,1022,1032,1040,1053,1058,1062,1072,1085,1088,1102,1112,1113,1128,1136,1140,1152,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,20,27,38,48,53,60,72,80,89,100,107,114,125,135,143,149,155,168,178,317,322,330,339,344,355,361,369,378,393,399,406,412,426,433,441,461,608,609,623,632,643,651,657,667,670,677,689,698,708,716,726,736,741,750,761,769,775,787,794,803,812,818,828,839,840,848,858,865,877,890,899,901,911,917,933,935,944,956,965,970,978,987,998,1002,1014,1026,1029,1042,1050,1059,1070,1076,1083,1096,1103,1105,1114,1125,1138,1144,1152,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,31,41,49,58,65,71,80,85,100,107,117,127,130,140,151,154,170,173,182,324,327,337,349,352,367,374,381,386,402,412,420,423,432,439,597,602,609,621,628,636,645,657,661,674,680,690,702,709,717,724,729,744,747,757,763,778,783,793,797,812,820,825,831,846,850,857,867,875,884,891,900,908,917,931,938,949,954,967,974,980,986,994,1007,1017,1022,1033,1044,1049,1055,1065,1076,1082,1093,1103,1108,1115,1121,1137,1140,1148,1157,1171,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0
3,13,19,25,40,43,55,60,73,80,85,100,109,117,125,131,136,147,161,168,178,317,320,334,336,346,358,362,377,386,392,398,407,420,428,435,444,465,605,615,618,630,643,644,660,662,672,680,687,697,709,716,722,730,742,752,761,769,777,786,793,802,813,815,827,831,841,850,865,868,875,882,897,907,910,924,928,936,950,951,961,970,982,989,1001,1002,1013,1020,1029,1040,1053,1060,1067,1076,1080,1093,1104,1107,1118,1121,1130,1141,1149,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,18,28,38,49,58,63,71,78,88,95,103,114,120,133,140,148,159,167,172,314,321,328,343,346,356,367,370,382,386,400,410,415,422,430,439,599,606,614,623,628,640,645,656,667,675,682,691,698,704,717,720,734,745,746,754,771,774,781,789,797,807,820,829,835,846,850,863,867,880,889,893,906,915,918,927,934,949,952,966,974,979,987,1000,1002,1012,1023,1035,1043,1045,1061,1063,1077,1084,1094,1096,1107,1115,1129,1130,1144,1151,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,26,41,49,52,66,75,82,86,99,103,114,126,133,141,150,156,167,176,318,325,327,336,349,354,364,373,385,387,396,410,417,423,435,438,597,607,611,619,629,642,643,654,661,676,681,693,698,710,716,721,734,740,750,755,769,771,788,794,798,806,814,826,835,845,849,857,865,875,884,898,902,910,919,926,936,949,953,967,973,983,986,1001,1003,1011,1020,1035,1039,1046,1061,1069,1073,1085,1087,1103,1111,1119,1129,1136,1142,1147,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,22,26,41,43,54,67,76,80,93,95,107,113,127,134,142,153,159,168,174,318,324,331,341,347,358,362,369,385,394,398,411,416,428,430,437,597,602,614,621,630,641,648,657,666,673,681,693,702,708,712,727,732,743,746,758,763,772,783,794,802,814,816,825,832,840,851,857,873,881,884,893,903,911,921,930,941,942,954,963,975,985,986,995,1008,1017,1027,1028,1041,1050,1054,1062,1075,1081,1093,1099,1108,1121,1123,1134,1141,1153,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,30,39,45,55,61,71,82,89,100,106,117,123,133,142,150,154,170,177,180,325,329,340,346,360,368,372,379,393,402,410,419,426,433,443,455,608,611,625,632,642,648,657,663,677,681,690,694,710,714,725,730,741,750,760,766,780,785,793,805,807,822,823,836,844,856,863,870,877,887,897,901,912,923,933,942,945,955,965,976,984,988,998,1008,1015,1024,1036,1043,1050,1056,1068,1078,1079,1090,1103,1111,1118,1122,1131,1141,1153,1164,1168,1175	1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
7,13,17,26,40,50,52,67,74,85,87,101,110,115,121,133,139,147,155,165,172,315,318,332,341,346,355,366,373,383,387,399,410,414,425,435,439,447,606,612,624,633,642,649,658,669,674,682,694,702,703,714,720,730,745,751,757,764,772,782,795,805,809,819,827,833,847,850,862,873,874,885,893,901,913,924,925,941,950,953,961,975,979,987,995,1009,1011,1026,1033,1036,1048,1061,1063,1078,1084,1095,1100,1113,1114,1126,1136,1147,1155,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,31,34,49,55,63,72,77,86,97,111,115,127,135,143,151,159,168,175,313,323,331,341,346,356,364,374,385,390,395,403,417,421,432,441,448,602,616,625,632,642,646,654,666,669,678,690,700,706,716,720,735,739,751,762,768,777,780,795,804,813,821,826,835,845,852,857,873,879,886,898,907,914,923,926,939,945,957,962,972,976,991,994,1002,1014,1020,1034,1041,1051,1059,1070,1078,1083,1095,1097,1109,1118,1129,1134,1143,1152,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,33,38,46,55,65,70,78,91,100,105,117,125,129,136,148,154,170,177,316,319,334,339,345,358,362,377,378,395,403,410,416,428,434,439,597,603,616,623,634,636,650,658,664,672,683,691,701,708,717,727,735,741,750,759,768,774,787,793,804,812,820,827,838,841,853,858,872,874,889,897,903,910,925,929,937,949,958,962,968,981,988,999,1009,1012,1023,1030,1044,1046,1056,1066,1074,1087,1095,1103,1110,1116,1124,1134,1143,1150,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,32,37,49,51,64,70,78,88,102,107,119,126,133,136,148,158,163,179,313,319,332,336,344,354,366,375,386,390,403,409,412,427,433,442,597,602,611,624,632,636,650,660,668,677,683,689,698,710,720,723,733,739,750,756,771,775,782,790,802,809,819,825,832,843,852,858,868,874,890,891,903,910,922,926,940,943,951,965,969,983,991,998,1008,1016,1022,1033,1040,1046,1053,1063,1070,1081,1095,1100,1107,1119,1129,1136,1142,1150,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,31,39,50,54,66,73,85,88,98,109,117,126,131,138,152,158,164,173,314,323,334,339,348,353,369,373,383,394,401,404,415,425,431,442,447,606,610,622,633,638,649,657,668,675,686,693,701,706,715,726,735,741,750,762,763,774,786,796,801,807,821,825,838,843,851,864,870,879,887,896,901,914,917,927,934,950,953,961,972,980,985,998,1008,1011,1024,1036,1039,1046,1059,1067,1076,1086,1088,1103,1111,1118,1127,1137,1145,1154,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,26,41,46,51,60,69,77,86,96,104,119,121,130,144,145,156,162,177,314,322,329,339,349,356,367,369,383,390,397,408,413,428,430,441,469,604,610,619,631,638,646,660,667,676,681,694,699,705,713,723,731,742,751,757,764,776,784,789,797,812,815,829,839,840,855,860,872,882,891,895,908,915,918,929,938,944,956,967,972,980,993,997,1003,1012,1027,1030,1042,1051,1055,1062,1075,1079,1091,1099,1106,1120,1126,1132,1145,1147,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,29,37,44,58,67,69,83,87,99,107,113,122,134,138,148,159,167,178,314,321,327,342,348,354,361,373,379,387,403,409,414,428,432,439,599,601,612,621,630,639,650,659,669,674,678,686,703,710,717,723,734,741,750,755,770,778,783,792,800,814,817,827,839,843,856,861,870,880,888,896,907,913,924,926,937,948,959,963,970,982,986,1000,1006,1012,1022,1031,1038,1052,1061,1065,1078,1085,1095,1096,1111,1114,1128,1130,1146,1149,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,31,41,51,56,66,76,84,89,95,105,117,124,134,140,150,161,165,175,315,325,331,339,348,356,362,370,381,389,398,406,412,426,431,438,596,606,612,618,631,643,644,653,662,677,685,690,700,709,716,726,730,742,753,758,770,774,781,794,798,812,822,825,831,843,852,863,873,874,887,896,900,913,917,929,940,945,956,961,968,980,987,999,1002,1016,1025,1028,1039,1052,1061,1069,1079,1086,1091,1099,1110,1120,1125,1131,1139,1147,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,20,30,40,46,59,63,75,78,85,96,107,112,124,130,143,146,161,162,174,315,326,335,341,348,360,365,376,386,394,399,404,417,428,429,440,457,602,617,621,632,637,649,653,662,671,684,689,700,711,713,720,734,741,747,756,765,776,788,795,802,810,822,830,835,841,849,863,870,876,889,897,904,914,917,931,941,949,958,965,975,978,992,996,1009,1013,1021,1036,1038,1047,1061,1065,1075,1081,1089,1100,1111,1118,1122,1138,1141,1151,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,30,39,45,51,61,75,79,87,101,109,112,120,128,144,146,156,163,171,314,321,331,338,350,359,365,373,379,389,396,407,418,429,436,438,596,603,612,619,634,637,645,653,662,677,686,693,695,710,717,727,733,739,749,759,769,771,783,797,798,811,816,829,839,847,853,864,868,880,887,896,906,914,918,930,941,950,955,960,973,984,985,993,1002,1014,1019,1029,1039,1050,1058,1069,1076,1079,1088,1102,1107,1118,1129,1138,1146,1155,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,29,34,49,58,61,75,78,92,97,108,116,126,135,143,153,159,168,177,314,324,330,342,346,354,364,375,383,389,396,409,414,425,433,445,596,602,617,623,629,643,646,656,660,677,679,689,697,711,712,722,732,739,750,756,765,774,782,795,804,808,822,829,835,848,855,863,866,878,886,894,901,912,921,925,934,943,956,964,974,981,985,1000,1010,1014,1023,1030,1041,1046,1058,1063,1077,1082,1089,1100,1109,1117,1126,1132,1140,1148,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,25,29,38,49,52,64,70,83,93,102,107,112,127,131,142,152,160,168,170,313,320,330,339,346,357,366,371,380,391,403,404,417,421,430,444,597,602,616,624,631,636,644,658,661,675,677,692,702,705,715,726,737,742,753,760,766,779,783,792,800,809,816,829,839,843,848,859,868,876,889,897,906,909,923,927,936,943,953,960,972,979,987,995,1006,1016,1026,1032,1044,1049,1053,1067,1078,1082,1093,1103,1110,1120,1128,1135,1143,1155,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,28,40,50,59,64,71,82,86,100,103,119,120,131,142,146,157,169,175,180,319,327,335,344,354,368,375,380,390,395,408,420,429,432,445,599,605,611,618,629,636,649,656,664,676,682,690,696,709,712,723,732,739,753,757,764,776,784,789,798,806,818,824,832,846,853,864,867,879,883,891,902,914,924,932,939,943,956,964,972,982,992,999,1006,1012,1024,1032,1038,1051,1057,1067,1077,1080,1091,1100,1106,1116,1122,1138,1144,1149,1160,1172	0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,20,28,36,46,58,65,73,81,88,99,108,112,124,131,143,148,158,164,176,185,320,333,337,351,358,365,374,380,388,397,410,418,423,436,443,596,606,614,620,634,637,650,653,666,675,680,694,700,703,715,725,737,745,746,757,771,772,782,789,800,806,816,830,835,847,849,862,874,880,888,891,900,916,924,928,938,943,954,961,974,980,990,994,1004,1019,1021,1027,1039,1048,1061,1067,1076,1085,1095,1101,1113,1118,1128,1136,1142,1148,1162,1170,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,24,27,39,48,56,63,76,85,89,96,106,119,122,134,138,152,158,167,174,184,324,329,336,351,352,363,377,380,393,403,410,417,423,435,439,599,603,613,625,630,637,648,653,662,676,681,687,702,706,715,726,731,740,754,756,769,780,787,793,802,808,819,829,833,844,848,859,872,879,885,894,904,913,918,931,935,943,951,967,970,984,991,997,1002,1017,1027,1030,1041,1051,1053,1070,1071,1084,1092,1101,1105,1118,1129,1136,1144,1154,1159,1171,1176	1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,15,17,33,36,49,56,66,70,81,90,94,102,119,127,131,139,151,157,168,177,183,324,330,338,348,360,361,377,383,393,400,404,413,427,437,439,598,602,610,626,631,635,649,658,668,672,678,689,702,707,718,727,734,743,750,755,769,776,786,793,805,810,821,824,836,844,854,863,873,881,885,892,902,910,919,933,935,946,957,960,970,984,993,998,1010,1011,1020,1028,1043,1053,1058,1062,1071,1083,1095,1101,1111,1115,1128,1132,1142,1152,1156,1165	1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,22,29,42,48,53,63,75,79,91,101,104,113,120,135,142,147,161,162,174,190,325,328,343,344,359,361,369,378,387,396,408,419,427,433,445,449,608,613,625,629,638,645,659,667,672,684,692,702,711,717,726,737,743,749,756,770,776,780,795,802,813,815,825,832,841,851,864,866,879,890,894,900,916,922,928,935,942,952,960,973,977,988,995,1004,1019,1024,1030,1040,1050,1053,1070,1072,1085,1089,1102,1112,1117,1128,1136,1144,1151,1161,1168,1175	1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
3,9,25,33,41,49,56,65,75,77,87,96,105,112,123,130,142,148,156,162,175,191,322,328,339,345,356,367,377,381,389,403,404,416,422,435,437,460,604,615,621,633,635,649,658,664,670,684,692,696,711,717,722,734,740,753,758,763,772,784,792,803,813,816,825,839,842,854,859,873,881,890,893,908,910,921,930,935,950,954,960,969,979,990,999,1007,1015,1024,1029,1040,1053,1055,1065,1073,1087,1093,1096,1109,1116,1124,1131,1146,1148,1160,1170	1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,15,18,28,41,44,59,65,75,80,93,101,103,112,126,128,139,148,155,169,177,185,319,327,338,350,359,361,372,380,391,396,409,412,424,435,440,596,601,610,619,632,635,644,658,667,675,681,693,696,708,717,723,734,739,748,758,770,776,780,794,799,811,817,823,840,845,850,864,869,876,890,891,907,916,923,932,938,943,958,960,969,977,991,999,1010,1016,1026,1033,1037,1051,1061,1062,1071,1082,1094,1102,1108,1121,1127,1130,1145,1153,1159,1172,1178	0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,17,33,42,49,55,64,75,77,87,101,103,116,128,130,139,150,156,165,172,187,325,332,340,349,353,368,371,384,391,399,411,420,428,436,440,459,605,617,621,628,643,645,660,667,675,678,689,701,706,717,725,736,743,750,758,766,775,786,789,801,810,822,831,837,846,850,857,871,879,888,893,905,916,920,931,934,942,956,967,968,982,986,999,1005,1016,1021,1028,1041,1046,1053,1064,1075,1079,1090,1096,1104,1113,1127,1132,1145,1147,1164,1172,1177	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,21,27,35,50,52,59,73,77,90,96,104,117,120,131,142,150,161,166,177,315,320,334,341,352,355,367,377,379,386,397,411,418,427,433,440,466,602,614,619,630,643,644,653,668,672,680,691,701,711,716,727,735,740,751,761,771,774,780,790,802,813,822,823,837,842,853,860,866,875,889,892,901,913,919,928,937,946,958,966,974,981,985,998,1009,1018,1020,1029,1042,1047,1058,1065,1074,1083,1090,1096,1107,1118,1127,1133,1142,1155,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,18,33,40,46,52,65,75,78,85,94,108,115,126,132,144,145,157,163,177,316,320,334,339,344,358,363,372,378,392,399,404,417,425,434,440,461,603,614,621,632,640,647,652,666,672,680,692,699,708,714,725,735,738,753,760,765,772,787,794,799,813,815,826,839,843,849,864,873,882,890,896,907,910,924,931,940,943,954,964,971,980,990,999,1004,1016,1027,1030,1036,1049,1058,1069,1071,1085,1094,1101,1109,1120,1124,1131,1140,1148,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
6,12,22,28,42,47,55,61,72,80,90,102,104,114,124,134,141,146,154,168,176,184,320,332,341,345,359,367,377,382,386,399,411,413,427,431,443,598,603,616,624,632,643,647,660,667,670,678,688,695,708,713,722,731,738,751,759,766,779,787,791,803,808,820,830,832,846,853,863,869,876,884,895,899,908,919,930,940,950,952,964,973,980,985,994,1006,1017,1020,1034,1044,1046,1057,1065,1078,1085,1095,1096,1109,1118,1124,1133,1145,1151,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,23,33,35,45,53,68,75,79,88,96,104,114,124,134,142,152,156,167,177,186,319,328,342,349,354,361,376,385,388,400,409,412,423,430,441,599,606,614,624,634,643,648,657,663,670,685,694,695,710,712,723,731,743,746,756,766,778,785,790,803,812,821,825,833,846,854,857,868,879,885,898,900,914,925,929,942,943,959,965,972,982,985,994,1005,1015,1022,1030,1044,1046,1057,1065,1075,1079,1089,1100,1113,1114,1126,1131,1139,1150,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
8,12,24,31,37,42,57,63,70,81,92,95,108,112,127,135,141,149,158,168,172,180,323,333,343,350,357,362,377,381,390,398,404,419,421,434,445,599,606,610,618,627,638,644,656,662,676,685,693,702,706,716,725,736,744,750,760,771,778,784,792,804,811,819,826,838,843,855,861,866,876,887,891,908,911,921,928,937,946,954,962,971,983,986,1000,1006,1018,1023,1036,1039,1052,1057,1063,1073,1080,1092,1100,1105,1116,1126,1133,1139,1155,1156,1167,1175	1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,20,26,34,47,57,60,70,82,88,97,108,116,121,136,141,146,161,168,174,196,322,332,338,348,355,366,371,378,390,401,410,417,426,430,438,467,601,613,622,634,636,650,652,666,677,683,691,695,705,718,726,732,739,753,761,770,778,787,792,803,807,818,825,835,840,856,860,870,880,887,898,904,916,922,929,936,947,959,965,973,984,990,1001,1009,1013,1027,1031,1039,1049,1056,1064,1073,1083,1088,1102,1107,1115,1126,1133,1140,1151,1161,1165	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,11,18,26,35,49,55,64,72,80,87,100,104,113,125,135,145,153,161,170,177,192,318,328,341,350,357,366,377,380,389,402,409,414,421,434,443,470,602,614,618,633,642,647,652,664,671,684,692,695,703,720,725,729,745,750,755,770,778,785,795,799,809,820,827,831,846,856,857,872,880,889,895,901,913,919,930,937,949,956,964,970,977,985,994,1005,1018,1019,1034,1039,1045,1058,1065,1073,1082,1096,1098,1107,1118,1128,1132,1141,1152,1156,1173,1174	1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,24,30,41,47,58,66,75,78,91,96,105,113,122,130,140,150,159,166,177,314,319,327,341,346,352,362,374,380,392,403,406,417,425,430,440,468,607,610,620,629,637,651,657,665,676,680,688,699,711,712,727,733,745,753,758,763,776,780,792,803,812,817,823,839,845,855,858,868,876,884,898,902,912,918,930,934,947,952,960,972,980,986,1000,1010,1011,1022,1032,1042,1049,1061,1066,1072,1085,1095,1096,1106,1114,1123,1138,1144,1148,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,27,34,43,55,62,74,76,86,95,105,113,125,133,138,146,158,168,178,313,319,328,338,345,355,366,375,385,387,396,408,416,426,435,445,596,608,615,623,630,635,644,660,662,675,684,690,697,711,716,728,735,737,749,757,770,777,787,788,803,807,817,826,835,842,850,857,872,878,888,895,904,908,923,927,939,946,951,963,970,983,993,1002,1005,1014,1024,1031,1037,1051,1057,1062,1074,1082,1092,1097,1109,1121,1128,1137,1146,1150,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,25,27,38,47,57,65,75,80,89,100,108,111,121,131,138,152,157,163,171,314,318,333,339,347,360,364,372,385,390,400,410,413,422,436,444,600,604,610,622,630,640,645,653,666,673,686,690,703,705,718,722,735,742,749,760,768,775,783,793,798,810,820,827,837,844,855,864,872,879,887,898,902,908,924,926,941,943,957,963,970,978,989,996,1008,1013,1021,1029,1039,1046,1062,1070,1077,1080,1088,1101,1107,1114,1125,1131,1141,1155,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,30,37,43,51,65,70,80,88,101,107,117,122,132,139,148,161,167,170,316,321,334,340,350,353,361,371,380,388,396,403,414,425,430,439,458,603,613,620,627,641,651,660,667,674,682,690,694,708,716,723,734,745,750,759,765,779,785,790,805,807,822,831,837,843,851,857,867,881,890,898,901,911,922,929,939,942,953,961,973,982,989,995,1008,1015,1023,1033,1044,1052,1057,1067,1075,1081,1094,1103,1106,1117,1126,1136,1143,1148,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,29,40,45,52,67,74,81,87,97,107,113,124,136,141,145,161,163,178,315,325,328,341,352,355,367,371,384,388,399,411,412,429,437,439,600,609,610,623,628,640,649,655,660,669,678,692,702,706,719,720,733,743,752,758,767,775,784,792,799,813,819,826,838,841,856,865,874,878,889,892,905,911,924,930,940,944,957,964,970,981,988,997,1009,1017,1019,1035,1044,1045,1061,1067,1072,1079,1091,1098,1107,1113,1126,1138,1145,1153,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,25,26,34,48,58,60,71,77,91,95,108,118,121,134,141,151,154,165,176,313,324,331,339,350,360,361,370,386,392,397,410,416,425,432,439,596,607,610,619,630,639,646,658,667,674,682,690,701,708,713,724,729,743,751,760,766,777,780,795,805,809,820,827,835,843,856,864,870,881,884,896,907,915,920,933,942,944,958,967,973,978,989,996,1005,1018,1023,1033,1039,1049,1058,1063,1077,1081,1092,1096,1106,1119,1122,1133,1142,1150,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,26,37,46,54,65,68,80,89,97,107,118,122,134,143,148,159,168,177,316,325,334,338,344,356,367,377,386,389,403,408,420,421,434,441,455,604,610,619,627,641,649,660,663,676,679,686,695,703,712,723,730,737,753,759,768,779,785,797,805,813,818,825,834,842,855,860,867,881,882,893,906,913,921,932,940,947,954,964,969,984,993,999,1003,1014,1021,1028,1038,1052,1061,1063,1073,1083,1094,1102,1110,1116,1125,1133,1144,1153,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,31,39,48,53,64,72,83,90,95,104,113,125,135,140,151,156,167,175,316,322,331,338,347,357,364,369,384,391,402,404,414,426,431,438,599,607,610,624,627,638,644,659,665,672,679,686,700,704,716,725,730,738,747,758,768,773,782,793,801,811,817,824,831,845,850,864,870,882,887,897,903,908,922,927,934,944,955,960,971,979,991,996,1007,1018,1026,1035,1043,1050,1061,1066,1077,1086,1094,1097,1113,1115,1123,1133,1139,1152,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,21,33,40,43,54,67,75,79,87,98,107,118,122,131,137,145,154,163,176,181,322,332,342,344,359,366,377,379,395,396,405,418,423,434,439,599,602,613,621,634,639,650,653,662,669,679,694,702,706,718,720,730,743,752,756,768,772,788,793,800,808,821,823,835,847,851,864,870,878,883,896,907,915,923,925,938,942,954,965,974,982,987,994,1009,1018,1019,1030,1036,1048,1059,1064,1075,1083,1094,1104,1113,1116,1124,1132,1142,1149,1158,1169,1177	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,10,18,25,38,49,57,64,76,78,87,101,105,115,122,133,144,152,155,163,171,313,322,327,336,344,354,365,373,383,391,399,411,416,422,430,440,596,608,610,625,631,642,652,653,663,672,681,691,697,707,714,726,730,745,748,755,771,777,787,791,797,807,818,826,832,840,850,865,872,881,886,892,907,909,924,931,935,946,954,960,975,982,989,998,1008,1013,1023,1035,1043,1053,1059,1069,1074,1086,1091,1102,1105,1117,1129,1132,1141,1151,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,28,40,46,52,65,69,82,91,101,106,116,125,134,142,149,157,167,175,318,321,333,343,346,360,365,372,383,388,397,409,416,421,430,440,599,604,613,623,631,638,648,657,667,676,681,691,696,710,720,725,734,740,748,762,768,774,782,792,804,809,815,827,836,847,852,859,870,876,883,898,906,916,924,927,941,951,954,961,972,976,987,1001,1004,1017,1027,1032,1043,1045,1055,1065,1072,1084,1089,1096,1108,1113,1126,1131,1147,1154,1157,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,22,30,37,44,57,61,71,81,89,94,104,112,125,132,141,147,158,169,174,314,321,332,343,350,352,362,376,385,386,397,405,413,423,432,446,600,609,615,624,631,643,645,652,660,675,684,692,701,706,719,724,734,743,752,756,766,778,780,791,797,811,820,826,836,844,852,858,872,880,890,893,900,908,920,933,934,946,959,964,971,984,992,1001,1002,1010,1026,1031,1041,1049,1059,1066,1077,1079,1091,1103,1106,1120,1127,1135,1143,1151,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,17,31,35,49,58,67,72,82,85,95,103,115,121,129,141,151,161,168,177,314,318,328,339,349,352,366,372,385,389,399,406,414,425,431,445,596,606,609,618,631,637,645,659,667,672,679,694,697,710,714,726,735,744,746,755,764,772,782,791,799,810,819,827,836,846,851,861,872,875,891,897,904,915,920,932,941,950,951,959,972,979,989,999,1008,1016,1024,1030,1039,1053,1060,1065,1074,1086,1089,1100,1113,1120,1121,1133,1142,1154,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,28,39,50,54,62,68,79,88,98,108,118,122,133,137,145,157,170,176,190,324,332,343,344,360,367,373,382,392,398,404,418,422,436,445,597,605,614,618,633,635,652,657,667,675,678,691,699,703,717,721,733,742,751,755,766,779,787,795,798,811,815,826,833,845,856,862,869,874,884,894,902,912,919,928,941,949,952,965,972,979,986,999,1007,1015,1020,1029,1038,1048,1059,1066,1074,1086,1087,1100,1111,1119,1122,1134,1140,1153,1159,1167,1178	1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1
6,15,24,31,34,50,54,60,72,80,93,95,105,115,126,128,143,146,159,165,175,318,323,334,335,350,359,365,372,385,388,398,405,417,421,436,443,599,608,614,619,627,641,651,659,665,669,679,686,701,706,719,721,731,739,748,761,771,778,784,792,799,806,821,830,835,845,850,859,871,875,887,891,907,915,924,925,942,948,953,964,975,977,991,996,1009,1018,1027,1036,1037,1047,1053,1062,1075,1084,1094,1102,1105,1118,1127,1131,1146,1150,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,23,29,35,50,52,67,72,77,93,96,108,118,121,133,143,150,155,167,172,315,321,326,340,346,359,362,376,381,389,401,406,412,426,433,439,450,606,617,624,630,636,645,657,665,671,679,689,701,708,714,723,736,738,748,762,769,775,781,794,804,809,815,828,835,841,850,859,866,879,887,898,904,912,920,927,940,946,956,961,975,980,988,999,1003,1012,1022,1030,1036,1049,1055,1069,1071,1085,1089,1102,1105,1115,1124,1132,1141,1152,1157,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,32,40,50,57,64,70,78,87,94,108,111,127,128,143,152,154,165,177,314,324,334,340,346,357,368,375,386,393,403,407,413,427,435,442,597,601,615,622,632,635,647,656,662,672,683,690,699,710,719,728,735,737,748,762,769,778,788,796,805,810,822,830,831,841,851,859,869,882,888,891,900,910,919,927,935,946,954,960,971,977,987,996,1010,1017,1024,1033,1037,1050,1060,1065,1073,1087,1090,1103,1111,1115,1122,1138,1140,1149,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,30,37,47,55,60,70,81,86,100,104,119,126,132,140,148,160,168,176,317,325,330,336,346,357,365,378,386,393,402,410,420,422,436,441,596,601,614,619,628,641,649,653,667,676,679,689,700,708,720,724,730,739,752,756,766,776,780,794,804,810,816,826,837,846,853,861,872,875,889,895,905,910,922,933,938,947,957,960,974,984,989,999,1009,1011,1021,1035,1043,1048,1054,1066,1078,1083,1087,1101,1106,1121,1130,1131,1139,1150,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,31,37,44,52,66,75,83,88,99,104,115,125,134,143,150,161,162,172,313,326,335,338,351,358,369,377,384,393,399,406,420,425,436,439,453,602,616,619,631,637,646,657,667,670,679,690,700,709,720,722,732,743,746,757,770,772,783,796,804,810,817,827,837,845,856,859,869,879,890,899,902,913,919,930,935,950,952,965,968,977,987,998,1008,1015,1024,1030,1040,1052,1060,1062,1076,1084,1094,1103,1112,1120,1122,1138,1139,1151,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,30,34,46,54,62,68,78,91,101,103,113,127,128,138,145,162,167,175,317,324,332,335,351,357,364,377,385,388,401,408,413,420,432,439,448,603,612,619,629,640,648,660,668,677,681,694,702,707,718,722,731,744,753,760,764,778,787,795,804,810,814,826,832,846,851,862,870,879,887,891,907,912,921,929,937,946,952,967,975,979,986,997,1007,1011,1020,1034,1039,1048,1058,1062,1078,1087,1095,1099,1106,1116,1126,1135,1147,1151,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,27,39,44,51,65,70,76,85,97,102,115,125,135,139,153,155,170,173,314,322,334,341,348,353,364,373,384,389,397,404,418,427,431,439,600,607,617,626,634,637,643,655,666,676,684,690,701,704,715,723,731,743,752,758,765,773,780,794,803,808,819,826,834,842,853,864,870,879,888,893,900,914,919,928,938,947,958,965,972,977,990,996,1007,1015,1023,1028,1037,1048,1057,1063,1075,1083,1091,1100,1111,1114,1125,1131,1141,1149,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,25,38,43,57,60,75,77,87,97,103,116,120,130,137,149,155,164,175,314,319,334,336,347,359,365,375,384,392,396,406,417,424,432,443,598,606,615,618,627,639,646,658,663,670,679,693,696,710,720,723,731,739,747,763,766,779,781,795,800,806,819,831,835,843,853,859,872,881,886,898,906,916,920,925,934,946,957,962,975,982,986,994,1009,1011,1026,1030,1042,1048,1056,1067,1074,1084,1092,1104,1105,1120,1127,1131,1144,1149,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,18,30,36,44,56,62,73,78,86,94,108,116,119,134,138,147,156,167,170,314,325,327,338,351,352,366,373,381,392,401,403,416,427,436,439,599,601,614,624,633,636,648,652,662,677,678,694,698,707,719,725,734,744,747,761,764,777,780,793,801,810,815,826,835,848,853,858,868,879,888,896,902,915,923,930,940,943,952,966,973,980,993,999,1004,1017,1023,1029,1037,1051,1055,1067,1074,1085,1092,1098,1109,1120,1123,1135,1140,1154,1162,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,31,39,45,57,67,68,82,92,99,110,111,121,135,138,148,157,169,173,317,320,332,337,346,353,363,376,384,387,400,407,416,428,434,438,468,606,611,623,629,636,647,658,667,672,686,694,695,709,720,721,736,745,753,761,763,777,784,789,803,808,822,831,836,842,854,857,871,875,884,893,905,916,921,925,937,946,955,962,970,982,989,996,1004,1012,1020,1031,1041,1049,1058,1069,1072,1087,1091,1104,1111,1115,1128,1131,1147,1154,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,29,42,45,56,67,73,84,93,94,107,112,127,129,145,153,157,168,170,315,322,329,336,349,357,369,370,386,392,400,411,418,424,431,444,450,604,616,621,629,641,648,656,661,676,678,691,695,704,716,720,731,737,751,757,765,776,786,790,800,808,817,824,839,841,856,862,870,879,888,895,901,915,924,931,941,948,951,959,976,979,987,997,1005,1015,1023,1035,1041,1053,1061,1068,1073,1087,1088,1096,1113,1118,1121,1136,1142,1148,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,28,36,49,55,65,73,81,89,101,108,111,126,136,143,152,158,166,174,314,319,326,335,344,357,365,375,385,389,398,404,414,424,434,440,599,608,616,619,631,638,647,659,668,673,680,689,696,704,715,726,736,738,746,762,768,776,781,789,805,807,816,823,833,846,855,865,870,879,890,896,900,914,921,926,934,947,951,962,968,978,989,1000,1007,1016,1020,1030,1039,1050,1057,1069,1075,1086,1090,1097,1112,1119,1127,1130,1139,1149,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,20,26,40,50,53,67,69,84,89,94,107,114,126,131,142,151,159,167,171,195,319,328,340,348,357,367,371,385,394,399,410,413,421,436,443,466,603,611,620,631,639,647,655,666,677,684,692,697,708,712,728,731,744,749,756,764,777,784,790,802,809,822,825,838,843,855,858,873,879,886,894,900,913,919,933,937,950,956,963,968,983,992,996,1009,1015,1020,1030,1038,1048,1058,1065,1075,1081,1088,1096,1107,1115,1124,1130,1142,1147,1162,1169,1178	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,18,25,39,46,53,62,71,81,85,99,108,111,124,132,138,148,158,164,177,181,324,329,340,344,359,366,371,383,394,397,411,418,425,436,444,458,606,612,623,633,639,646,658,661,675,679,689,700,709,719,728,736,738,753,755,770,779,788,794,805,811,815,823,831,842,854,861,867,875,886,894,903,909,918,931,937,947,951,960,970,981,989,1001,1008,1018,1025,1034,1044,1047,1055,1065,1074,1086,1093,1102,1111,1117,1124,1130,1147,1148,1163,1171,1175	0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,8,23,32,35,49,55,62,70,84,89,97,103,118,124,131,139,152,162,167,176,194,318,332,339,347,355,366,374,384,390,396,411,420,423,430,445,459,607,616,622,632,638,645,654,661,669,685,690,695,710,712,724,734,737,752,755,770,778,781,795,798,812,818,828,834,844,848,860,874,877,888,895,906,916,920,925,936,947,956,965,973,981,986,997,1002,1015,1024,1034,1036,1048,1056,1067,1072,1084,1091,1099,1107,1115,1130,1138,1140,1152,1161,1168	1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,17,21,33,35,49,55,65,76,84,93,95,109,112,124,129,144,146,156,164,175,196,319,334,342,348,355,361,376,383,388,402,409,417,425,432,440,599,603,617,622,628,639,648,652,668,674,684,693,697,703,719,728,732,745,752,757,769,772,787,793,802,809,819,830,837,845,851,863,866,879,886,895,899,909,918,928,935,943,955,961,976,979,992,999,1008,1016,1025,1034,1038,1051,1061,1063,1075,1087,1090,1096,1112,1119,1129,1133,1139,1149,1162,1168,1178	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,17,33,36,45,58,60,69,82,92,97,107,119,124,128,143,149,154,164,175,183,321,330,338,349,353,367,377,384,388,400,410,413,424,437,438,600,608,617,618,631,639,649,658,665,677,683,688,701,707,712,724,730,745,754,759,767,779,782,793,799,810,816,825,834,842,855,860,866,874,889,893,901,913,924,933,938,943,955,964,968,976,993,996,1004,1012,1021,1028,1042,1045,1060,1062,1072,1079,1093,1099,1106,1121,1128,1138,1140,1154,1157,1169,1176	1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,12,24,31,34,43,55,64,75,80,92,100,108,115,119,130,137,148,158,165,176,183,320,333,339,351,352,363,376,383,395,397,406,412,428,436,441,466,606,611,623,630,638,650,656,663,673,680,694,700,711,718,726,729,742,746,761,767,779,786,791,800,805,816,823,835,843,850,863,869,876,885,894,907,911,922,933,938,943,953,967,975,982,991,996,1010,1011,1023,1033,1040,1051,1060,1063,1072,1080,1090,1097,1110,1120,1128,1135,1144,1155,1158,1169,1177	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,30,41,47,59,65,74,81,85,97,105,114,125,135,144,153,160,169,172,314,323,329,336,348,357,366,376,382,391,395,404,420,426,436,444,453,606,617,621,627,640,649,655,669,672,682,692,700,706,718,726,733,742,751,763,766,778,782,790,800,811,822,831,832,842,854,864,873,882,891,897,905,915,918,929,941,946,955,968,976,977,987,995,1006,1015,1020,1035,1043,1045,1055,1065,1077,1086,1090,1099,1108,1115,1129,1135,1139,1148,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,22,25,36,44,55,66,72,77,92,98,108,117,126,134,138,148,159,165,172,187,324,327,336,347,357,363,377,379,394,397,409,419,421,430,443,598,602,611,620,626,638,644,658,663,676,678,688,696,705,714,725,736,740,748,755,764,776,780,797,803,811,819,830,835,844,856,858,869,880,890,892,905,914,920,928,938,944,955,966,972,985,990,993,1004,1015,1026,1033,1038,1050,1060,1069,1076,1082,1087,1097,1109,1119,1122,1137,1139,1150,1162,1167,1178	0,1,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,22,26,39,48,57,65,73,80,87,94,107,118,121,132,139,146,159,167,178,318,321,330,335,347,355,367,376,384,394,395,409,417,429,433,442,466,607,616,625,631,640,649,659,665,674,682,694,703,705,716,722,730,742,749,756,770,773,787,792,801,814,822,830,832,845,849,857,867,882,885,898,900,913,917,927,940,943,951,967,970,979,988,997,1005,1012,1019,1029,1043,1046,1054,1067,1075,1086,1091,1102,1112,1115,1125,1135,1140,1150,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,29,37,49,59,62,72,82,85,100,110,112,121,136,141,150,160,164,177,183,323,330,337,349,360,361,374,382,391,396,405,419,426,436,445,459,603,610,625,629,639,648,659,666,676,681,693,696,707,715,727,733,744,747,756,764,775,783,794,803,811,820,829,839,843,853,865,873,874,890,894,900,909,924,932,940,944,951,964,971,984,989,997,1005,1012,1024,1036,1040,1051,1061,1065,1071,1085,1088,1100,1109,1120,1129,1130,1147,1148,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,11,21,33,34,46,51,68,69,83,88,95,102,118,122,132,140,145,161,163,179,183,321,331,338,349,357,364,377,380,392,397,411,418,424,431,441,470,609,612,623,631,643,651,657,668,676,682,690,701,709,718,722,735,738,748,763,765,777,784,790,801,805,815,825,837,844,851,861,867,876,885,896,907,910,921,927,938,942,951,965,974,981,987,1001,1008,1010,1026,1035,1036,1049,1054,1064,1070,1080,1094,1102,1107,1113,1129,1133,1141,1152,1164,1171,1178	1,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,12,21,27,40,45,57,62,74,78,88,102,104,115,126,132,140,150,155,163,178,179,319,333,339,350,356,364,371,386,391,397,407,418,426,430,439,598,606,617,618,632,642,646,659,666,669,685,690,700,708,720,723,736,740,750,762,764,771,784,790,798,812,815,831,834,844,850,861,871,877,887,895,907,911,924,926,937,949,958,960,976,980,993,998,1009,1015,1027,1035,1040,1050,1059,1069,1078,1087,1094,1104,1107,1117,1124,1138,1141,1153,1164,1167	1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,22,26,37,47,52,66,73,77,89,99,108,113,121,132,143,146,158,167,177,188,325,331,335,350,358,364,371,378,387,399,409,419,425,435,441,599,608,610,618,629,637,648,654,663,673,678,690,703,705,716,726,731,741,749,762,766,775,788,790,803,806,815,825,835,841,854,860,868,879,889,899,907,914,918,928,940,946,953,959,974,978,986,1001,1006,1018,1026,1032,1037,1049,1061,1062,1078,1079,1088,1102,1111,1119,1122,1136,1145,1152,1159,1170	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,17,31,42,47,55,63,74,84,89,99,104,119,124,130,143,152,155,166,174,185,323,334,341,350,353,364,373,379,391,401,408,415,426,431,443,448,604,610,618,631,642,648,654,667,674,678,686,698,707,713,723,733,742,748,760,763,775,788,790,798,807,816,829,833,844,851,863,870,876,885,899,902,910,920,931,939,943,955,964,974,980,985,997,1003,1012,1019,1030,1041,1046,1056,1066,1077,1081,1090,1103,1106,1119,1129,1136,1140,1152,1158,1170,1174	1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,17,30,37,48,59,67,76,83,85,99,105,116,124,131,137,153,161,164,179,317,318,327,341,347,354,366,373,386,393,402,410,412,424,432,439,597,602,617,623,627,639,646,653,665,671,681,691,701,710,717,720,734,738,752,760,767,774,786,794,802,807,821,824,835,844,853,860,871,878,889,893,906,913,918,932,942,948,957,964,976,983,991,998,1005,1017,1022,1028,1044,1046,1056,1065,1071,1085,1090,1099,1111,1113,1127,1137,1145,1150,1157,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,20,26,38,49,52,67,69,79,89,94,104,114,127,133,139,153,154,167,178,314,325,330,343,351,353,361,371,379,387,398,407,414,426,434,438,468,601,615,624,629,637,649,657,664,677,684,693,696,709,712,728,734,739,749,754,769,775,782,794,804,813,818,826,832,848,854,858,870,874,889,895,902,911,920,928,936,948,955,966,975,984,988,1001,1003,1014,1024,1033,1036,1048,1057,1066,1077,1081,1091,1100,1107,1115,1127,1134,1141,1153,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,26,39,43,55,64,68,82,86,99,110,117,127,136,142,146,158,169,170,317,322,327,341,349,352,366,373,383,388,400,408,413,423,435,441,466,601,615,620,632,640,645,654,666,675,679,693,694,709,716,725,735,743,746,763,770,778,780,796,804,808,815,831,833,843,850,858,865,876,886,892,908,911,917,930,940,945,959,963,970,978,986,994,1003,1011,1024,1028,1040,1052,1059,1062,1076,1087,1095,1103,1104,1118,1127,1138,1146,1147,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,29,35,47,52,67,72,78,86,101,108,115,120,128,141,148,156,164,178,316,325,330,343,350,356,365,369,382,392,399,408,413,421,431,443,451,603,611,626,635,642,648,652,661,673,685,686,699,704,714,722,737,743,752,756,771,777,781,789,803,812,815,830,836,843,855,860,873,876,883,894,904,915,921,930,938,948,951,962,975,982,993,998,1009,1011,1024,1030,1043,1050,1058,1064,1078,1083,1093,1104,1111,1121,1127,1130,1140,1148,1157,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,24,32,38,47,57,63,75,77,86,99,110,116,123,136,143,150,160,169,171,317,318,334,339,346,360,367,374,380,388,395,406,416,428,435,442,598,603,612,621,633,636,647,658,661,673,684,688,695,707,718,728,730,745,748,758,769,773,787,796,800,813,814,830,833,848,856,864,871,879,883,896,907,913,919,929,939,943,954,962,971,982,991,997,1004,1018,1023,1031,1038,1053,1061,1066,1072,1086,1089,1096,1105,1113,1130,1134,1142,1154,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,31,40,45,57,68,74,82,92,96,109,119,126,129,137,146,153,168,177,318,319,331,339,351,358,364,373,382,392,401,407,419,428,434,441,466,604,611,618,627,639,648,658,666,677,682,689,695,705,714,727,733,738,750,754,770,771,787,789,802,814,822,823,835,848,855,864,866,877,885,899,908,912,918,929,940,942,951,964,970,979,985,998,1010,1013,1024,1035,1044,1051,1054,1062,1075,1079,1095,1100,1112,1119,1126,1135,1146,1149,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,25,26,37,46,59,62,69,82,87,95,105,117,124,135,144,150,159,168,176,317,322,331,338,346,360,365,376,386,391,395,405,417,429,434,440,598,602,610,619,634,642,647,655,667,670,685,688,697,707,713,721,734,740,753,761,765,774,784,793,803,811,820,826,833,842,856,860,870,877,889,891,907,914,920,929,939,944,952,962,972,981,987,1000,1009,1014,1022,1031,1043,1048,1060,1065,1075,1085,1090,1098,1108,1117,1122,1133,1143,1150,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,28,36,50,57,61,70,84,91,100,109,115,121,132,137,148,159,163,174,317,326,334,339,345,352,361,374,382,391,398,406,420,423,434,446,599,601,617,624,633,640,645,656,662,673,678,694,699,705,712,721,735,740,754,760,765,773,787,790,799,811,822,824,839,846,855,859,871,879,882,893,906,911,923,927,935,943,952,961,976,977,991,1000,1005,1012,1023,1034,1039,1053,1055,1067,1078,1085,1092,1100,1109,1115,1122,1135,1143,1153,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,26,36,43,53,59,71,85,91,97,108,119,123,132,138,148,162,163,177,315,325,334,339,345,355,361,374,384,394,399,410,419,423,432,444,599,608,617,620,630,641,644,658,666,675,681,688,699,706,718,721,737,744,750,761,767,777,785,795,805,811,818,824,833,846,849,864,873,881,890,896,907,911,922,927,934,950,953,968,973,983,987,994,1010,1016,1022,1033,1040,1047,1053,1067,1072,1086,1091,1102,1105,1119,1129,1130,1140,1152,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,32,37,42,51,60,76,84,87,101,104,114,120,128,138,145,159,166,175,185,324,333,337,349,353,367,377,383,392,400,406,420,427,435,439,598,605,616,622,628,641,649,659,660,677,681,691,696,706,712,724,737,740,752,759,766,775,784,796,802,808,817,830,832,843,849,857,866,877,890,893,900,908,917,932,938,944,952,961,969,978,988,999,1006,1019,1026,1030,1037,1048,1056,1064,1078,1086,1091,1100,1112,1120,1122,1133,1143,1153,1162,1172,1178	1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
7,11,24,32,41,47,51,64,75,77,93,102,106,119,127,133,141,152,160,167,175,315,322,329,341,348,360,362,373,378,388,401,406,420,427,435,446,466,602,616,626,632,640,646,655,663,671,685,692,700,708,718,726,732,744,752,763,769,775,780,796,800,807,815,829,834,845,855,859,870,875,884,897,901,916,922,931,936,946,957,961,969,982,986,997,1003,1012,1025,1033,1043,1053,1060,1069,1072,1080,1089,1097,1111,1118,1125,1130,1139,1153,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,23,28,34,45,52,61,70,85,90,96,108,117,127,129,143,153,154,162,173,313,322,327,339,347,354,367,375,378,393,399,407,417,426,434,439,447,609,611,626,631,635,644,655,668,676,679,694,698,711,716,728,734,741,751,760,764,773,784,793,799,812,820,824,836,846,849,864,873,881,889,893,904,914,924,930,938,947,956,966,975,978,985,1001,1009,1014,1022,1034,1041,1046,1058,1068,1077,1079,1096,1101,1105,1121,1127,1136,1140,1152,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,28,40,48,56,67,75,77,88,99,108,115,121,128,143,148,157,167,176,314,318,332,336,345,354,365,372,386,391,398,410,419,426,432,444,596,602,614,621,632,640,647,659,660,673,681,692,698,710,714,728,734,744,753,762,767,776,786,790,804,810,815,827,837,843,853,860,871,879,884,894,904,912,917,927,936,950,955,966,973,983,990,1002,1003,1017,1025,1035,1040,1051,1057,1064,1076,1084,1095,1101,1111,1121,1129,1131,1144,1154,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,28,36,47,56,61,71,78,88,101,110,117,120,133,143,148,159,169,176,314,325,333,336,349,358,366,374,384,395,399,407,417,425,435,440,596,606,616,622,627,636,650,656,660,673,678,690,695,705,717,723,734,742,749,755,769,773,786,792,801,809,814,827,831,841,850,864,869,875,886,897,901,914,917,930,941,947,957,964,974,982,991,994,1006,1010,1023,1031,1040,1049,1054,1064,1076,1082,1090,1099,1111,1116,1122,1136,1140,1148,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,25,29,41,49,52,64,75,85,87,97,103,117,125,136,143,147,158,164,172,180,323,335,341,347,358,362,375,385,390,395,404,415,425,432,439,458,607,614,619,631,640,647,658,664,675,680,693,696,705,712,726,737,739,749,758,765,780,788,793,800,813,817,829,834,844,849,860,866,881,887,899,900,912,917,926,933,946,955,966,975,983,990,993,1004,1013,1024,1035,1040,1052,1054,1065,1078,1083,1095,1101,1105,1116,1126,1134,1139,1154,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,12,17,29,34,48,52,67,70,81,89,99,107,118,121,133,138,150,155,165,177,315,326,331,342,352,360,362,373,380,386,400,407,419,424,432,445,600,603,613,621,633,638,646,658,662,673,681,692,701,706,719,728,730,741,747,756,770,774,782,791,798,806,818,823,834,841,855,860,871,878,891,899,901,909,919,933,937,942,956,967,975,984,993,995,1006,1013,1022,1034,1039,1046,1061,1067,1071,1080,1087,1098,1111,1116,1127,1130,1138,1155,1161,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,27,42,51,52,60,75,82,91,100,109,113,121,131,140,148,161,165,171,313,326,329,341,351,358,366,371,386,390,397,411,420,426,437,442,596,607,614,624,630,640,645,656,662,671,679,689,699,707,714,728,729,742,749,757,767,779,786,795,802,814,817,830,832,848,853,858,871,879,890,898,903,909,919,930,940,945,959,967,976,980,993,1002,1005,1017,1026,1031,1044,1051,1055,1065,1075,1083,1091,1103,1109,1118,1128,1136,1145,1155,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,23,32,41,47,57,67,75,80,90,99,104,115,121,132,142,146,154,163,171,315,326,327,340,347,356,361,373,380,389,401,406,419,428,432,443,450,607,616,622,634,640,645,652,665,674,678,686,698,706,713,725,737,743,749,760,766,777,785,792,798,807,818,827,839,840,850,857,867,877,889,897,908,914,919,926,942,947,952,964,973,985,992,999,1009,1011,1019,1031,1043,1049,1059,1063,1073,1087,1094,1099,1108,1115,1122,1133,1142,1150,1156,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,22,28,37,45,59,64,70,83,85,94,110,111,126,129,143,147,157,167,176,315,319,328,338,349,355,365,378,385,394,400,410,413,423,436,442,451,607,610,620,634,638,645,655,669,672,682,691,698,706,718,720,733,743,749,763,765,778,784,793,799,813,818,831,833,843,854,859,869,877,886,893,901,916,921,932,941,947,953,963,970,982,990,1000,1009,1016,1020,1030,1038,1053,1058,1067,1074,1083,1091,1102,1110,1121,1124,1138,1142,1149,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,22,31,37,49,52,60,75,77,90,99,102,111,122,135,141,152,158,168,173,316,323,327,337,352,357,368,375,381,391,395,410,415,425,431,445,460,603,615,625,627,637,647,660,669,674,680,693,700,704,712,723,735,737,749,755,767,779,784,788,802,813,816,824,835,848,853,863,871,874,887,899,906,914,918,933,934,949,955,960,976,977,988,999,1004,1013,1025,1031,1037,1048,1060,1066,1071,1084,1095,1100,1112,1120,1124,1136,1140,1154,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,21,30,37,43,58,67,75,81,87,95,103,115,120,135,138,151,154,168,173,315,326,331,340,347,354,365,374,386,389,398,404,417,425,436,440,596,604,614,622,630,641,649,655,662,672,685,688,698,703,713,723,734,743,752,757,767,779,788,793,797,807,822,829,838,842,856,858,868,881,889,899,906,913,925,927,938,943,955,962,976,978,987,1000,1007,1014,1026,1030,1037,1053,1057,1065,1072,1082,1092,1102,1107,1113,1124,1133,1143,1153,1156,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,25,29,39,50,52,68,76,79,86,101,109,118,121,130,142,151,157,164,172,315,323,328,336,351,359,365,371,379,393,398,405,417,428,437,440,468,606,613,620,627,637,648,655,661,669,681,689,703,705,716,721,729,739,751,759,765,779,780,796,805,809,818,823,834,846,854,860,871,882,885,899,908,910,920,926,939,944,958,962,974,983,985,1001,1002,1012,1021,1029,1036,1046,1054,1064,1070,1084,1093,1097,1111,1115,1122,1135,1144,1148,1158,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,18,28,37,46,58,65,76,85,87,100,105,116,119,136,137,151,154,166,178,315,326,332,335,352,357,366,370,385,388,401,404,417,427,430,446,454,604,616,625,632,637,648,658,666,677,683,687,696,706,714,727,733,745,753,755,764,777,782,789,800,813,820,828,836,846,851,864,865,875,888,891,899,914,919,928,937,947,958,963,971,981,989,1001,1007,1012,1024,1031,1043,1053,1058,1066,1079,1084,1088,1103,1110,1117,1123,1130,1144,1147,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,28,39,43,51,64,72,78,86,97,110,114,122,131,142,149,158,168,172,313,320,328,335,351,358,368,377,383,394,401,410,420,423,437,440,596,603,611,622,631,641,647,658,668,672,677,689,698,710,712,722,732,744,749,762,770,774,783,794,803,809,815,831,837,847,853,863,874,879,885,899,900,914,924,926,936,950,951,966,972,983,986,994,1003,1011,1025,1029,1036,1046,1060,1068,1078,1082,1089,1103,1104,1117,1125,1130,1139,1155,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,22,29,34,51,55,63,70,82,92,96,103,118,123,135,143,147,156,166,174,313,321,327,339,348,359,367,376,385,388,397,406,420,426,429,439,469,603,616,620,631,640,644,653,666,675,685,689,701,707,716,728,731,745,753,762,771,772,784,790,805,810,814,829,831,845,850,861,870,880,883,892,905,911,923,933,941,950,954,963,971,984,985,994,1005,1013,1023,1034,1041,1051,1055,1067,1075,1086,1095,1101,1109,1114,1125,1136,1145,1155,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,26,40,50,53,61,76,84,86,99,108,115,126,133,142,146,158,166,174,314,322,333,342,349,359,364,377,378,388,398,406,420,427,431,443,599,606,611,623,633,641,646,658,669,677,683,694,698,704,720,727,730,740,750,756,768,775,786,791,802,810,819,825,834,848,849,859,866,874,888,891,900,910,921,929,935,947,957,965,968,981,987,999,1004,1017,1020,1028,1037,1049,1059,1065,1074,1083,1090,1098,1106,1117,1129,1138,1143,1152,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,33,40,48,59,62,76,84,87,96,109,113,123,134,144,148,157,167,175,314,326,327,339,348,359,369,370,384,388,395,404,419,427,432,438,461,607,614,624,633,637,645,655,667,673,680,690,696,707,716,726,734,740,747,761,769,778,782,793,804,807,818,823,839,845,856,859,866,881,887,897,903,916,917,927,935,950,954,966,970,979,988,996,1004,1015,1020,1032,1043,1046,1059,1066,1071,1080,1091,1097,1109,1116,1127,1132,1144,1152,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,27,42,43,57,63,69,82,93,96,106,113,119,134,138,153,158,163,172,196,322,331,337,346,357,368,372,385,393,401,409,415,426,430,440,598,606,615,625,629,643,647,659,664,671,680,692,697,705,719,728,730,742,754,758,770,778,781,795,802,810,821,829,836,844,850,860,867,881,884,898,906,913,919,930,936,947,951,964,972,978,990,994,1007,1016,1021,1034,1043,1052,1054,1064,1077,1085,1094,1104,1106,1120,1127,1133,1146,1149,1159,1172	1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,17,21,33,35,45,53,62,70,79,90,94,107,116,120,129,140,151,157,169,172,180,321,331,343,348,358,365,372,381,389,395,411,416,424,436,442,596,607,613,624,634,638,651,658,666,677,681,693,699,704,715,723,730,738,750,762,771,774,781,789,802,811,819,828,831,848,853,860,873,878,884,892,902,913,922,928,934,942,952,965,974,984,990,998,1010,1013,1022,1029,1043,1051,1057,1064,1072,1085,1095,1098,1108,1120,1123,1130,1144,1149,1163,1165,1176	1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,9,20,27,37,47,53,65,69,82,86,98,109,113,127,135,143,146,154,165,179,182,324,334,339,345,354,367,375,385,392,402,411,417,420,432,445,600,605,617,618,627,636,651,654,666,673,684,688,702,709,712,722,736,740,754,756,770,775,781,792,800,809,816,827,837,844,852,860,873,877,890,894,905,908,921,931,936,942,959,964,972,981,988,995,1009,1018,1027,1033,1044,1050,1054,1068,1076,1080,1093,1101,1110,1117,1122,1137,1144,1154,1164,1166,1176	0,0,1,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,21,31,39,51,53,63,73,80,93,100,110,117,120,133,137,149,153,168,173,179,321,332,340,344,355,369,371,381,387,395,404,418,427,433,444,471,606,616,618,626,640,644,653,664,673,685,692,699,705,716,721,733,745,751,761,767,776,782,792,799,809,818,823,834,840,851,862,865,878,888,894,900,915,921,929,939,947,954,964,970,978,988,1001,1006,1011,1020,1034,1040,1046,1055,1066,1073,1085,1088,1102,1109,1114,1130,1132,1139,1151,1156,1168,1178	0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,23,25,39,43,53,66,72,83,92,100,108,115,125,128,138,152,154,165,172,181,319,329,339,347,356,367,370,380,393,397,405,412,420,430,444,469,609,615,618,628,635,644,660,666,672,679,692,700,707,712,727,731,741,751,759,764,777,784,795,798,812,816,829,837,842,856,857,873,878,884,893,903,913,920,932,935,950,951,964,974,985,990,994,1003,1012,1026,1035,1037,1049,1055,1065,1071,1085,1095,1101,1110,1121,1128,1133,1145,1151,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
6,16,18,30,41,50,56,63,70,82,87,99,104,119,126,135,141,151,154,167,178,181,324,333,342,347,356,367,377,384,391,403,407,414,424,433,438,596,608,615,623,630,637,645,653,664,677,685,689,702,710,713,726,734,741,747,760,770,775,785,796,804,813,817,827,833,843,853,860,872,879,885,897,906,908,916,933,935,948,951,965,969,984,989,996,1006,1014,1020,1028,1044,1047,1060,1065,1078,1087,1091,1097,1106,1114,1125,1135,1144,1150,1156,1170	1,1,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,20,32,37,46,55,68,72,82,87,100,108,117,127,128,141,151,153,167,177,185,318,335,340,348,355,364,374,384,387,403,406,420,424,431,445,451,607,612,622,631,635,649,660,669,677,682,693,699,707,718,722,737,743,752,759,766,778,780,791,800,810,819,828,836,845,855,859,872,879,886,895,905,914,923,926,940,950,957,966,973,980,992,995,1006,1016,1019,1030,1036,1049,1054,1068,1076,1081,1095,1097,1109,1115,1125,1135,1144,1152,1156,1165,1178	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,19,27,41,45,57,63,71,77,93,94,107,111,123,131,137,148,159,166,176,188,322,334,336,346,358,364,369,385,393,398,404,417,428,429,441,468,602,611,618,628,635,652,655,668,670,682,689,699,710,712,726,732,744,751,761,766,774,782,795,803,813,815,826,839,844,848,859,873,878,888,894,907,908,923,931,935,948,955,964,970,981,989,999,1010,1015,1027,1031,1044,1053,1061,1069,1075,1080,1089,1098,1107,1115,1130,1135,1141,1153,1159,1166	0,1,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,24,29,34,45,59,67,74,83,88,98,108,113,124,134,139,150,156,170,172,315,319,327,335,350,353,361,376,383,393,402,406,414,425,435,438,600,606,610,618,634,642,650,655,665,677,681,691,698,707,712,721,735,740,750,755,770,779,781,790,799,813,822,823,833,842,857,862,866,881,883,896,901,915,917,927,937,948,952,967,975,981,985,999,1003,1015,1020,1028,1040,1053,1059,1067,1077,1084,1090,1100,1107,1116,1125,1133,1139,1149,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,33,42,44,56,64,74,80,88,94,105,113,122,131,140,152,158,166,171,180,324,329,343,347,356,368,374,378,391,402,409,415,425,431,439,466,606,609,618,633,639,644,653,666,673,682,691,695,708,717,721,735,743,753,754,765,779,786,796,802,809,822,828,835,842,850,857,873,878,888,898,902,912,919,928,936,947,957,966,968,979,987,997,1008,1014,1027,1034,1040,1046,1058,1069,1075,1084,1089,1096,1105,1119,1124,1138,1140,1150,1163,1170,1176	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,14,19,30,41,46,59,64,70,82,86,98,103,112,125,128,138,146,155,165,173,189,325,329,343,345,355,367,374,386,387,402,409,415,428,431,443,596,606,612,618,631,639,643,652,664,677,683,691,700,703,718,724,730,737,749,759,763,775,788,795,798,806,818,827,834,848,855,860,866,876,889,894,902,915,922,928,938,947,956,960,970,983,990,1001,1004,1016,1022,1033,1040,1046,1054,1064,1075,1086,1093,1101,1109,1120,1122,1131,1140,1154,1161,1169,1176	0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,21,31,35,46,54,61,72,78,89,101,109,116,126,134,136,148,154,167,177,179,320,332,342,346,354,362,369,386,391,395,411,420,424,429,437,469,604,616,619,630,642,647,653,668,672,677,694,697,708,720,721,730,741,753,761,771,774,783,795,798,807,821,827,838,842,850,863,867,875,885,894,901,915,917,929,936,948,955,966,971,982,989,1001,1010,1012,1023,1034,1040,1050,1059,1065,1077,1081,1094,1098,1105,1116,1126,1136,1139,1152,1159,1168,1174	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,10,17,32,36,45,51,67,69,81,88,94,103,118,122,134,144,146,153,166,175,196,320,326,339,344,353,368,373,384,392,400,405,412,421,433,444,599,606,615,625,632,636,651,653,664,677,683,687,702,708,716,723,731,737,754,762,763,777,783,789,798,806,815,825,831,842,852,860,869,878,883,898,903,916,919,933,935,946,956,967,971,983,986,993,1008,1014,1024,1031,1041,1045,1053,1068,1078,1082,1092,1104,1110,1118,1125,1137,1147,1148,1160,1168,1175	0,1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,22,26,34,48,53,61,70,82,93,95,107,112,121,130,144,148,157,163,176,190,325,328,339,348,359,369,372,380,387,402,404,415,422,434,441,600,607,610,624,629,642,647,653,669,672,680,690,700,707,716,728,734,745,749,755,769,777,782,790,800,809,817,827,836,846,854,860,872,875,882,898,903,909,923,933,934,950,953,967,974,982,987,999,1002,1011,1025,1035,1036,1048,1059,1066,1071,1085,1091,1098,1111,1118,1126,1132,1145,1150,1157,1169,1174	0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,24,33,42,43,57,60,69,82,89,97,106,113,125,128,137,148,155,164,178,181,321,326,340,348,358,362,370,382,392,396,407,415,427,434,445,597,604,611,619,634,635,646,659,665,671,683,693,700,704,720,721,730,745,752,762,766,774,780,796,797,812,820,829,839,842,854,861,872,878,886,892,901,909,923,927,938,943,954,967,972,981,992,996,1003,1013,1025,1035,1039,1047,1057,1066,1075,1081,1090,1100,1111,1114,1128,1130,1145,1149,1163,1171	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,25,31,37,45,56,66,70,80,92,100,108,119,124,128,137,145,154,169,176,315,321,330,338,347,357,365,377,379,394,398,405,420,423,432,445,469,605,610,618,634,638,649,659,666,673,685,691,697,710,716,725,732,740,749,759,766,772,788,791,805,813,821,828,832,847,850,857,868,878,885,894,903,916,920,929,934,944,953,965,969,980,987,1001,1005,1013,1023,1028,1039,1050,1059,1070,1072,1082,1091,1101,1110,1114,1123,1134,1144,1151,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,18,29,42,43,55,65,68,82,88,100,107,113,125,128,138,146,156,168,176,314,318,330,342,348,357,364,377,380,392,403,410,413,429,432,439,600,602,611,618,630,636,650,654,661,674,682,687,701,703,716,722,729,744,747,762,770,773,782,790,804,812,816,823,839,844,856,861,866,874,888,898,900,912,925,930,936,943,951,966,968,983,985,995,1006,1016,1021,1028,1041,1051,1060,1066,1076,1085,1089,1097,1106,1114,1126,1136,1143,1151,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,33,37,45,51,63,72,81,88,97,109,112,123,134,138,152,160,168,178,314,325,332,343,350,354,361,373,385,394,396,407,414,425,436,444,600,608,611,622,628,636,647,659,667,672,679,690,702,710,717,724,732,738,751,759,767,775,784,794,798,813,815,830,833,844,849,858,865,874,885,893,901,915,922,933,939,943,958,966,973,983,985,996,1006,1017,1023,1028,1043,1051,1059,1066,1071,1083,1090,1104,1109,1113,1127,1135,1141,1154,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,33,41,50,55,63,69,80,88,96,110,111,127,130,140,148,161,163,176,313,325,333,335,347,357,362,375,383,387,397,404,412,427,434,438,598,606,613,625,630,642,650,658,668,672,678,686,703,708,716,720,734,737,749,757,767,772,781,792,804,812,818,827,834,841,853,862,872,877,888,893,904,913,925,932,939,948,953,963,971,980,989,996,1010,1016,1020,1033,1043,1045,1061,1066,1077,1084,1088,1104,1112,1115,1128,1137,1140,1152,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,17,31,39,44,55,63,74,77,86,94,102,111,126,133,138,152,160,170,172,313,325,333,335,344,360,364,372,378,390,395,410,414,422,429,442,599,608,614,620,630,639,644,657,661,671,685,694,698,708,716,727,734,740,752,762,765,774,788,796,804,812,822,825,837,843,856,860,868,879,890,897,902,912,920,931,940,942,958,967,976,983,987,1001,1010,1016,1023,1030,1041,1047,1060,1070,1073,1080,1095,1099,1106,1114,1126,1134,1142,1154,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,23,27,36,45,56,65,68,77,88,97,102,117,120,128,141,150,160,167,173,318,319,331,342,344,352,366,370,378,392,403,405,417,422,437,440,596,609,616,625,633,635,648,657,665,670,683,694,702,705,719,721,732,744,754,756,769,779,788,789,805,814,817,828,835,845,856,863,871,880,886,893,900,916,919,927,938,946,952,966,970,981,987,1001,1006,1017,1022,1030,1042,1046,1054,1065,1072,1079,1087,1101,1106,1114,1125,1131,1146,1155,1161,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,25,31,35,49,58,62,69,84,90,96,102,111,127,130,142,152,160,167,177,316,325,333,335,346,354,362,371,382,393,401,409,413,422,436,439,597,603,613,621,631,639,643,659,665,671,680,692,700,708,719,722,735,745,751,759,764,778,780,790,798,806,820,824,832,844,848,859,872,875,887,895,900,915,921,930,937,949,955,963,974,982,989,994,1004,1017,1020,1034,1043,1051,1061,1066,1076,1087,1091,1103,1111,1120,1123,1130,1144,1149,1161,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,32,42,49,52,64,76,83,89,98,108,115,127,129,137,151,157,166,173,317,319,327,342,350,357,364,374,378,391,399,405,412,427,429,437,600,606,613,625,633,640,647,656,663,671,678,687,699,708,717,724,733,744,750,760,763,777,786,796,800,812,822,823,832,843,852,860,866,879,887,891,907,916,920,929,938,949,952,959,971,979,992,997,1009,1012,1020,1035,1044,1052,1060,1066,1074,1082,1095,1096,1111,1114,1127,1132,1142,1152,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,20,31,37,45,58,64,75,78,88,98,107,115,125,131,145,150,159,167,177,188,320,330,341,348,355,365,371,381,394,400,405,412,428,437,441,599,602,617,626,628,637,647,654,664,676,683,694,695,710,712,727,736,740,752,755,770,773,788,796,799,807,815,828,833,842,850,859,871,874,889,893,901,913,923,927,939,950,952,964,969,983,989,997,1010,1016,1026,1030,1043,1050,1058,1069,1077,1079,1091,1103,1113,1120,1123,1136,1145,1153,1159,1173	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1
3,13,21,27,39,50,53,65,73,79,86,94,107,113,126,132,139,150,160,163,174,313,320,329,342,344,352,365,376,384,387,400,404,420,424,432,441,597,605,610,619,628,639,647,658,661,669,683,694,696,709,713,724,737,745,747,757,771,772,787,791,802,808,815,829,832,841,852,864,873,875,887,898,901,911,917,931,940,949,956,965,974,982,986,996,1007,1016,1021,1029,1042,1050,1055,1064,1071,1082,1095,1101,1106,1117,1123,1138,1143,1147,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,29,35,48,52,65,72,83,86,96,109,112,122,136,142,148,158,162,172,317,324,335,341,346,360,367,372,384,391,396,405,414,427,429,441,599,604,611,621,632,636,652,653,667,676,682,693,695,705,718,728,732,743,749,756,767,779,788,791,800,807,820,827,832,846,852,857,867,879,886,895,899,909,918,926,935,949,952,964,973,981,992,997,1008,1016,1019,1033,1040,1048,1060,1066,1073,1080,1088,1098,1109,1118,1124,1135,1144,1153,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,31,40,44,52,60,68,84,87,100,106,118,123,128,141,148,160,165,174,317,324,331,341,352,359,363,376,379,390,400,404,417,424,432,438,596,603,615,622,634,636,648,657,664,669,684,690,702,706,714,725,729,745,751,761,771,772,785,792,801,808,814,825,834,843,855,858,866,878,889,893,904,913,923,931,941,950,955,966,971,977,989,994,1007,1016,1019,1034,1044,1053,1056,1069,1074,1082,1094,1102,1110,1118,1129,1136,1139,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,31,36,43,51,59,69,85,89,99,108,118,124,129,136,146,159,169,176,317,319,335,341,345,354,364,376,383,392,403,411,412,422,436,443,448,606,611,620,633,642,651,657,664,677,682,689,696,709,712,724,736,741,749,758,769,774,781,794,798,811,818,829,835,843,855,863,870,882,886,891,905,916,917,932,940,950,955,963,971,981,986,999,1006,1012,1023,1034,1043,1047,1054,1063,1071,1086,1095,1102,1107,1114,1127,1137,1140,1155,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,18,29,40,48,51,66,73,79,90,97,109,115,120,130,139,147,157,166,175,180,318,334,341,348,359,367,377,380,387,402,406,415,423,437,441,598,606,616,623,632,636,646,654,664,676,681,693,696,710,715,721,732,739,752,760,764,775,780,791,800,813,814,825,833,841,849,863,872,874,887,893,904,915,921,931,934,946,954,964,971,981,985,999,1010,1014,1023,1030,1041,1052,1060,1068,1079,1086,1092,1104,1109,1121,1123,1138,1140,1155,1160,1171,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,13,24,29,38,48,55,66,70,80,85,96,108,118,119,130,140,153,158,170,171,315,324,331,336,351,356,364,372,385,389,401,408,420,427,436,446,463,606,615,623,628,639,650,655,660,670,682,694,697,704,714,724,735,741,752,760,770,774,782,795,801,806,814,825,832,844,849,861,873,879,885,891,900,914,922,932,938,945,957,967,975,976,986,1002,1009,1013,1020,1036,1037,1052,1055,1067,1076,1079,1093,1103,1107,1116,1127,1132,1139,1154,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,33,38,44,52,67,75,77,87,95,108,119,120,133,139,150,157,164,171,313,326,330,341,351,356,362,376,382,394,395,406,414,424,435,443,598,607,617,626,633,636,652,657,665,676,685,686,696,709,720,725,731,739,753,754,768,774,782,790,803,807,815,828,837,846,854,865,869,876,888,898,900,911,919,926,936,947,953,960,976,980,988,997,1010,1015,1026,1035,1039,1048,1059,1064,1078,1087,1088,1103,1108,1120,1125,1138,1147,1150,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,25,37,46,54,66,70,84,92,99,108,112,123,136,145,149,158,163,170,318,320,334,337,343,355,365,375,382,392,396,406,417,421,431,445,596,602,616,621,630,642,647,659,661,673,685,693,696,704,713,722,733,744,752,757,771,777,781,791,800,813,821,828,831,844,849,862,870,881,886,893,907,916,925,926,934,950,956,963,969,980,993,1002,1004,1015,1021,1035,1044,1053,1058,1066,1072,1085,1092,1103,1105,1117,1124,1134,1143,1153,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,26,37,46,59,66,69,83,89,95,106,115,127,130,139,148,154,164,172,316,320,327,341,347,360,366,374,378,387,395,407,415,425,429,442,598,607,614,624,629,636,647,658,665,676,683,693,701,705,718,724,737,744,748,755,764,775,783,797,801,808,821,828,838,845,856,862,874,879,887,898,906,908,920,926,937,945,955,960,970,983,988,1000,1004,1017,1019,1029,1036,1048,1060,1063,1078,1079,1090,1098,1106,1114,1122,1136,1146,1149,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,17,33,38,46,59,67,71,84,90,95,102,114,125,132,139,147,159,164,174,317,324,331,341,348,357,366,372,382,393,398,403,416,429,430,442,596,602,612,620,632,638,651,655,664,677,679,694,701,706,714,726,732,744,753,763,766,776,783,796,799,807,822,829,836,846,852,857,871,880,887,898,907,916,921,931,938,945,956,965,975,984,986,999,1008,1018,1022,1035,1040,1052,1056,1067,1071,1083,1090,1098,1108,1120,1125,1136,1140,1148,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,26,40,47,52,66,72,80,89,95,108,118,125,130,138,148,157,167,174,316,319,328,338,345,353,367,373,386,390,403,406,419,428,432,438,466,606,615,625,631,639,651,653,668,672,681,692,696,708,715,726,735,745,747,756,764,772,787,795,804,811,821,825,839,846,853,857,869,875,888,896,900,915,921,926,940,945,957,960,972,981,993,996,1008,1019,1024,1032,1043,1051,1060,1069,1073,1083,1088,1103,1105,1114,1127,1136,1145,1152,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,26,35,48,54,65,72,77,90,97,104,116,122,133,144,151,157,164,172,317,323,334,340,352,359,363,374,382,389,399,406,417,426,429,440,598,606,609,620,633,638,651,657,663,674,686,694,696,706,712,721,734,741,754,762,771,775,782,789,800,812,814,831,834,845,856,857,867,874,886,897,903,914,918,932,936,947,951,961,974,979,987,999,1007,1016,1027,1033,1043,1049,1056,1069,1076,1085,1091,1101,1111,1117,1129,1133,1143,1153,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,25,30,38,48,53,64,72,78,86,96,107,114,124,135,142,149,159,165,178,315,323,334,341,345,353,366,374,378,391,402,410,420,426,435,438,597,608,613,622,633,641,647,657,664,674,683,691,696,704,717,724,731,745,749,757,769,778,788,794,798,807,817,831,839,842,853,859,872,875,883,891,906,915,917,927,937,945,955,961,972,980,992,995,1007,1017,1026,1031,1040,1047,1058,1064,1071,1082,1093,1103,1111,1119,1127,1135,1147,1152,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,30,38,44,55,64,72,82,87,99,105,118,122,136,142,148,157,169,176,316,320,335,343,347,360,368,377,378,394,396,411,415,428,431,439,463,604,612,623,628,642,645,655,667,677,681,693,701,709,714,723,729,742,746,758,765,777,788,797,798,811,821,830,839,841,851,865,866,878,883,892,900,913,922,932,937,946,958,960,975,981,992,1002,1007,1012,1020,1028,1043,1053,1059,1068,1072,1081,1089,1102,1106,1121,1123,1138,1140,1152,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,24,29,38,44,54,61,74,77,86,102,103,111,127,128,143,150,154,170,179,317,326,329,336,351,352,364,371,381,390,403,404,412,428,429,443,449,604,613,618,631,637,652,653,667,670,685,688,697,707,715,724,737,743,754,761,766,779,788,791,798,811,822,824,831,845,856,862,867,874,886,894,901,909,918,933,934,945,953,960,968,977,990,995,1003,1015,1023,1033,1042,1052,1061,1068,1073,1079,1089,1099,1109,1116,1127,1131,1146,1151,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,30,39,49,52,62,69,82,87,96,109,113,121,133,143,146,157,166,175,314,320,332,338,350,356,366,373,382,387,401,408,414,421,431,444,597,605,611,621,627,635,647,654,664,669,682,693,697,704,712,725,730,744,754,762,771,777,788,790,797,813,818,825,833,843,854,860,867,875,885,897,905,912,919,929,938,945,956,961,973,980,988,999,1007,1018,1020,1029,1041,1050,1057,1067,1075,1084,1090,1104,1108,1121,1127,1137,1146,1151,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,28,42,47,57,66,70,79,86,95,105,115,122,134,136,146,159,162,171,317,325,327,341,347,358,366,373,378,391,395,412,413,428,429,446,598,606,616,619,633,640,648,653,661,676,685,690,698,711,712,727,735,743,748,759,765,778,781,791,799,808,821,825,831,842,851,862,872,874,890,893,901,916,919,930,939,945,958,964,970,977,986,1001,1007,1016,1024,1032,1038,1045,1055,1065,1071,1085,1092,1097,1108,1120,1124,1137,1143,1149,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,25,33,38,51,54,66,72,82,93,96,110,119,123,131,138,153,161,168,178,190,324,332,335,345,360,368,375,382,394,397,408,415,420,434,445,598,601,612,625,628,639,644,654,665,676,683,693,697,704,714,722,732,742,746,760,764,775,783,796,805,807,822,826,835,842,850,858,873,875,885,895,906,910,918,928,939,945,956,959,972,980,988,996,1005,1012,1024,1031,1037,1051,1060,1070,1072,1084,1096,1098,1112,1121,1123,1131,1147,1150,1156,1166	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,24,32,41,48,58,59,73,77,87,101,103,113,123,131,142,151,158,168,174,182,326,334,338,345,356,368,376,379,387,397,407,414,424,435,440,468,604,611,625,630,637,648,658,660,675,682,691,695,710,716,725,736,741,751,760,767,774,783,797,805,813,817,829,832,844,850,864,867,878,890,896,903,915,917,929,937,946,958,962,975,977,992,996,1008,1016,1024,1033,1041,1052,1061,1062,1071,1081,1094,1097,1108,1115,1127,1133,1142,1148,1157,1172,1174	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,12,23,28,37,50,58,60,74,77,87,100,105,114,120,135,144,147,159,165,177,187,320,333,340,349,354,369,370,382,388,396,410,412,427,430,439,598,603,616,621,634,641,644,657,666,677,682,693,702,711,716,722,735,745,748,758,766,777,781,796,801,814,815,827,831,848,853,860,872,875,890,894,901,916,925,927,939,946,958,960,975,982,990,997,1003,1018,1027,1034,1040,1051,1056,1062,1071,1085,1093,1097,1107,1118,1129,1138,1142,1147,1159,1169	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1
4,9,24,30,40,45,53,64,74,82,91,95,105,116,127,136,142,147,157,163,171,188,320,334,340,348,353,366,377,382,393,396,403,416,427,434,441,470,601,615,623,635,638,651,653,662,674,680,693,695,710,714,720,729,737,750,761,766,776,787,795,797,807,822,825,833,846,855,858,873,880,885,891,901,908,923,929,939,945,952,966,973,980,987,998,1010,1015,1025,1030,1039,1051,1060,1065,1074,1081,1094,1102,1112,1120,1127,1132,1139,1153,1162,1167,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
8,13,17,27,40,43,52,66,75,83,92,94,106,117,120,134,137,152,158,167,179,187,320,330,336,345,355,368,371,378,387,396,404,416,421,436,445,598,601,610,623,633,643,646,658,663,675,679,694,703,704,715,725,729,739,754,760,768,773,785,797,805,809,822,828,832,848,850,863,870,875,890,892,904,908,919,930,939,950,953,964,971,980,992,993,1003,1013,1025,1030,1043,1045,1055,1066,1075,1085,1088,1103,1112,1120,1123,1130,1145,1151,1161,1166	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
3,12,20,27,40,45,56,66,74,81,90,99,107,111,126,132,140,147,155,167,174,183,322,328,336,350,359,364,373,386,390,400,411,414,427,431,440,600,601,611,618,634,639,649,659,660,672,685,690,695,707,715,723,735,737,753,761,769,778,785,791,802,813,822,824,834,841,849,859,867,882,890,895,899,908,924,928,939,948,952,964,975,982,988,998,1003,1012,1021,1029,1042,1052,1056,1069,1071,1080,1088,1098,1108,1114,1129,1133,1140,1152,1163,1167	0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,20,27,35,50,57,62,73,84,93,102,106,113,126,132,137,152,154,169,175,184,325,334,339,344,360,364,372,381,389,400,406,417,426,430,439,596,603,617,622,634,640,648,654,661,669,682,692,699,711,720,728,732,741,747,755,769,775,782,790,797,809,818,827,833,840,857,860,872,882,884,898,903,908,924,927,936,943,951,967,973,978,992,1000,1009,1014,1023,1035,1038,1051,1060,1065,1076,1079,1088,1098,1111,1117,1126,1135,1139,1153,1163,1172	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,10,24,26,34,45,54,61,70,82,92,96,106,116,127,134,137,150,158,164,173,181,324,334,341,347,352,369,374,381,388,395,405,417,428,434,443,453,602,617,625,634,636,650,657,668,676,680,693,696,704,719,726,735,743,752,760,769,779,786,793,803,812,822,827,838,846,850,859,873,881,885,895,901,915,925,931,934,947,951,968,969,983,993,996,1009,1017,1021,1031,1037,1051,1056,1068,1073,1081,1090,1096,1106,1114,1125,1135,1144,1148,1156,1164,1176	1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
8,14,25,26,40,49,53,64,71,78,89,94,110,113,121,131,142,153,158,167,171,314,320,334,335,348,354,366,374,381,388,403,409,412,422,431,438,461,604,617,626,629,636,646,657,668,669,685,686,702,703,713,723,729,740,751,762,767,777,787,795,803,813,815,825,839,844,855,862,870,876,889,892,902,911,920,928,935,943,951,967,971,981,988,997,1003,1012,1022,1032,1041,1048,1058,1063,1075,1081,1092,1098,1109,1118,1128,1132,1139,1150,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,31,38,46,58,67,75,78,89,101,106,115,121,136,140,145,156,167,178,205,321,330,341,349,359,365,374,382,392,399,406,419,428,432,443,598,601,611,618,629,641,649,655,667,677,685,693,699,704,718,724,731,737,751,755,764,771,788,790,803,810,822,823,836,842,856,859,865,874,882,894,904,910,923,925,936,946,959,965,974,981,993,999,1004,1016,1025,1035,1043,1045,1055,1064,1075,1082,1092,1097,1112,1117,1126,1136,1145,1155,1157,1170,1173	1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,12,22,30,34,48,55,66,70,77,90,95,102,118,126,129,138,152,159,165,171,187,323,330,343,346,355,365,374,381,395,402,404,413,421,430,440,599,607,614,618,630,636,651,658,661,671,681,686,700,704,713,725,735,745,746,763,770,773,784,791,800,812,820,825,838,842,856,863,869,881,887,892,903,913,924,932,939,950,955,964,971,981,986,994,1006,1017,1025,1034,1037,1047,1060,1065,1072,1086,1093,1101,1106,1113,1126,1137,1144,1150,1164,1172	1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,21,26,38,49,54,63,70,77,90,100,103,119,125,132,143,145,153,168,175,313,324,329,340,347,357,369,377,385,388,401,406,415,423,431,442,467,604,617,626,634,639,646,654,664,676,686,688,701,704,718,723,734,742,749,759,764,778,786,795,805,812,820,829,838,844,853,860,872,878,886,898,901,916,919,929,938,949,957,965,973,984,991,995,1008,1014,1024,1032,1037,1052,1060,1066,1074,1080,1093,1101,1111,1116,1122,1135,1142,1150,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,29,34,50,56,65,74,82,91,95,103,113,128,131,142,147,159,169,177,187,322,332,339,347,360,363,373,379,386,399,408,417,425,433,438,596,606,617,620,630,635,648,653,667,676,680,689,695,711,714,723,730,740,746,762,770,773,785,794,805,806,820,823,837,840,851,857,873,880,888,897,907,909,925,926,937,946,953,963,972,979,992,1001,1007,1010,1022,1029,1038,1048,1055,1067,1075,1082,1095,1101,1112,1117,1129,1136,1140,1155,1157,1166	1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
6,11,24,33,37,50,52,65,68,83,92,101,108,117,126,131,140,152,159,166,176,191,320,330,341,351,356,361,369,379,388,399,404,414,424,435,445,598,602,612,621,627,638,647,654,664,676,678,691,697,703,717,723,730,738,750,758,766,772,781,790,800,811,822,826,838,846,849,857,871,881,884,895,905,913,920,925,939,947,951,964,968,978,986,1002,1006,1011,1021,1030,1044,1046,1054,1066,1074,1085,1088,1100,1107,1118,1123,1132,1140,1147,1164,1170	1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,9,23,29,39,50,54,67,72,80,89,98,105,111,124,133,143,148,154,166,176,203,324,328,337,352,356,369,372,379,393,401,412,413,426,430,446,597,601,612,618,629,638,651,653,664,677,684,688,698,709,718,720,737,741,752,757,764,772,785,791,802,809,816,824,833,846,857,861,865,876,886,897,900,914,917,929,938,949,955,961,972,983,988,998,1010,1013,1026,1032,1043,1046,1057,1066,1076,1084,1095,1100,1105,1119,1127,1134,1142,1154,1163,1170	0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,24,28,40,47,54,65,72,78,89,97,108,116,121,135,144,148,162,163,176,317,323,327,337,350,352,362,372,380,393,401,411,420,428,430,441,596,601,614,623,631,637,647,653,661,672,679,686,701,710,718,722,730,738,750,754,763,773,785,788,800,809,815,824,834,841,849,865,874,877,884,897,905,910,925,931,936,950,959,960,976,979,986,998,1007,1012,1021,1032,1040,1047,1060,1069,1078,1080,1091,1098,1106,1121,1122,1136,1143,1152,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,22,31,36,43,56,65,73,84,87,100,103,114,124,129,142,150,157,166,173,316,325,332,342,351,360,369,376,385,386,399,408,414,424,430,444,465,607,617,625,628,642,648,659,664,670,681,694,699,705,713,724,732,737,746,754,768,774,785,790,804,812,818,830,833,840,855,865,868,877,887,891,904,913,924,932,936,943,958,967,973,982,989,1000,1002,1012,1025,1031,1036,1049,1055,1069,1070,1080,1090,1102,1106,1115,1122,1136,1140,1152,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,27,34,51,59,60,71,78,88,101,104,115,122,128,144,148,158,162,173,316,324,329,339,348,353,364,374,383,394,395,410,417,424,430,442,598,605,610,621,632,638,646,654,663,673,680,688,697,709,718,726,735,745,746,754,768,777,780,793,802,808,822,830,836,845,850,864,869,877,888,894,905,915,922,928,941,948,955,964,969,984,989,998,1003,1018,1023,1035,1038,1051,1059,1062,1072,1082,1089,1102,1112,1113,1129,1135,1139,1149,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,32,40,50,57,60,69,83,91,95,103,111,122,130,143,148,159,163,177,313,323,331,337,344,357,368,372,380,392,399,404,416,423,437,439,598,605,613,624,627,640,652,659,668,672,684,686,702,707,716,726,736,744,752,756,765,773,781,789,802,807,822,827,835,845,856,861,868,875,886,897,907,911,921,927,934,948,956,966,970,983,990,999,1007,1016,1025,1033,1037,1051,1060,1065,1074,1086,1091,1100,1109,1115,1123,1131,1140,1155,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,25,28,40,43,57,63,71,77,88,96,108,117,123,134,144,146,158,164,177,318,323,333,342,344,355,361,373,382,390,401,409,418,421,432,441,599,603,613,619,634,635,645,652,668,674,684,694,699,705,720,725,734,741,749,754,769,776,787,795,801,811,815,827,834,840,855,860,867,879,888,898,904,914,919,927,937,947,952,966,969,982,992,994,1009,1013,1024,1035,1041,1046,1054,1065,1075,1084,1092,1096,1105,1114,1123,1138,1140,1150,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,19,33,42,51,52,61,68,85,86,100,106,119,121,136,143,147,162,167,174,316,325,329,336,347,357,368,373,383,391,396,408,415,422,434,441,469,603,614,619,627,642,648,654,666,677,681,692,697,704,714,720,736,738,754,758,767,777,784,796,797,805,819,830,832,845,849,863,867,882,888,897,903,914,917,932,935,947,957,967,974,976,992,998,1002,1011,1020,1031,1038,1052,1061,1066,1071,1080,1090,1101,1111,1118,1122,1138,1147,1149,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,21,26,37,46,55,60,69,81,86,95,106,111,126,131,140,146,162,166,178,313,323,327,339,345,352,361,369,381,390,396,411,414,428,437,444,596,608,613,623,631,642,648,653,663,671,678,688,696,709,713,727,731,745,752,758,769,774,781,793,803,807,818,828,836,840,855,857,867,880,882,898,907,913,917,932,939,942,957,967,972,983,986,997,1006,1015,1026,1036,1038,1049,1057,1066,1078,1082,1091,1097,1107,1120,1123,1135,1142,1154,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,33,42,46,59,64,69,81,93,102,103,116,124,136,141,148,158,167,177,317,320,329,339,348,357,368,373,380,390,397,408,418,424,436,444,600,604,611,618,634,639,647,657,662,675,685,686,696,706,713,727,736,744,753,762,765,775,783,789,799,811,815,825,834,845,851,862,871,876,890,891,907,913,922,929,935,946,957,964,968,979,991,1001,1010,1018,1023,1033,1043,1046,1058,1068,1076,1082,1091,1099,1106,1114,1124,1134,1146,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,29,37,50,54,66,76,81,88,102,108,117,122,133,137,150,154,162,177,186,323,329,338,343,359,364,376,384,389,399,411,417,427,429,442,596,606,609,624,632,640,647,659,663,674,681,688,698,707,712,722,736,745,752,756,771,774,781,796,803,813,821,825,832,846,854,859,872,881,885,899,901,913,920,927,933,944,954,965,970,981,987,1000,1006,1014,1022,1032,1041,1052,1056,1067,1076,1085,1091,1098,1110,1115,1128,1138,1144,1150,1158,1168	1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,17,32,39,49,59,66,70,82,86,95,110,112,127,128,143,145,156,166,175,314,323,328,343,346,354,369,374,384,389,398,411,420,423,429,444,598,602,609,623,634,635,644,653,667,677,682,693,695,710,713,726,732,744,750,761,769,773,787,796,805,808,819,826,834,843,848,861,866,878,887,895,903,909,921,929,937,949,951,960,976,979,988,995,1006,1012,1022,1028,1040,1052,1056,1066,1070,1080,1095,1096,1106,1119,1124,1137,1140,1149,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,26,35,44,53,61,73,77,85,102,105,118,126,130,141,152,160,167,177,313,323,334,341,352,353,362,377,386,392,399,405,419,422,431,445,597,603,613,620,631,638,644,653,663,670,681,693,702,704,713,724,735,745,753,760,765,773,787,795,804,806,820,831,836,843,851,857,874,882,887,898,901,910,924,932,942,948,954,962,974,978,990,996,1005,1016,1023,1034,1039,1049,1054,1069,1078,1079,1094,1097,1110,1115,1128,1138,1145,1148,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,25,28,34,46,57,66,75,82,90,94,105,113,123,130,142,145,153,169,178,315,324,327,339,352,356,367,372,386,390,398,406,416,427,430,440,598,609,615,622,630,637,646,655,665,673,680,686,702,710,718,725,734,743,747,762,763,774,784,789,800,813,820,823,833,844,852,861,871,876,889,894,907,912,921,926,938,946,954,962,976,981,992,995,1008,1018,1021,1030,1043,1047,1054,1068,1075,1082,1087,1103,1110,1118,1129,1135,1146,1155,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,30,36,46,53,67,76,85,86,96,106,116,126,135,143,146,156,162,172,313,319,334,341,348,360,363,370,384,387,398,404,420,428,435,438,471,605,614,623,632,638,647,660,662,674,684,693,695,705,715,721,736,740,754,758,766,777,787,795,799,811,817,824,835,840,849,865,870,879,883,898,901,912,919,933,941,944,953,967,975,977,986,994,1006,1019,1022,1034,1039,1051,1054,1068,1076,1081,1090,1099,1106,1115,1122,1134,1141,1151,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,27,38,47,53,60,68,84,88,95,104,112,125,134,143,148,161,166,178,179,319,330,339,344,355,366,373,384,394,401,408,415,428,429,442,600,608,612,625,631,638,643,654,662,674,683,691,694,706,715,723,729,739,752,754,768,780,788,793,805,806,818,827,838,844,855,865,871,875,884,892,902,908,921,932,941,948,952,960,973,977,987,996,1004,1014,1026,1033,1044,1045,1061,1065,1073,1086,1095,1101,1105,1119,1124,1135,1140,1153,1156,1167,1178	1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,16,23,27,40,45,52,62,72,78,86,97,105,116,124,133,137,149,158,169,174,314,325,332,341,344,358,368,373,381,389,397,412,419,426,432,444,458,601,612,618,628,642,646,660,661,673,677,689,701,705,714,726,731,743,746,760,769,779,783,791,800,809,818,823,834,844,851,861,866,875,884,893,904,909,921,928,936,947,953,965,972,982,988,997,1004,1011,1019,1028,1044,1047,1059,1065,1076,1079,1095,1101,1105,1118,1123,1132,1142,1150,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,27,42,48,53,61,72,81,93,96,103,119,124,128,141,149,154,166,173,316,324,330,343,349,352,364,377,385,388,400,403,419,421,434,443,598,604,617,620,626,636,646,655,662,669,685,690,699,709,712,721,731,742,753,756,767,777,782,796,797,808,815,825,834,845,851,862,869,877,886,892,907,916,919,932,938,950,956,966,975,979,990,993,1005,1017,1027,1034,1043,1053,1061,1067,1078,1083,1094,1101,1111,1119,1127,1138,1140,1155,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,25,39,46,57,62,73,79,86,102,104,112,120,128,139,150,161,165,176,314,320,333,337,351,354,363,376,383,388,400,410,417,426,433,441,596,608,610,621,630,636,646,652,662,673,681,692,695,706,717,727,730,744,753,756,767,775,784,796,803,806,818,828,833,841,850,860,869,879,884,891,903,908,921,932,938,942,959,960,975,980,993,997,1010,1012,1022,1035,1044,1049,1055,1063,1071,1086,1090,1098,1105,1113,1128,1134,1140,1147,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,25,28,40,43,57,63,74,78,86,98,106,111,123,128,140,148,159,166,178,315,320,328,340,347,353,365,372,379,391,399,403,416,421,429,445,450,602,609,622,632,641,643,657,667,673,680,687,703,704,717,726,732,741,749,756,769,778,780,796,799,811,818,824,832,843,849,865,868,874,890,891,900,914,919,929,937,947,958,967,972,983,988,996,1005,1014,1019,1032,1036,1048,1061,1068,1072,1079,1091,1104,1108,1120,1123,1131,1146,1149,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,27,41,46,55,67,76,80,90,99,104,111,126,133,144,153,161,168,177,316,318,331,343,347,356,366,376,381,391,397,408,415,422,430,441,596,604,614,619,633,639,649,654,663,677,681,689,702,707,717,726,735,738,750,757,768,776,784,795,801,809,815,827,838,840,854,862,866,879,882,897,902,911,921,932,934,950,957,959,973,978,992,996,1005,1011,1025,1035,1043,1049,1059,1064,1072,1081,1094,1097,1112,1116,1122,1132,1141,1154,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,22,26,42,43,52,61,76,81,87,99,110,111,127,136,138,145,157,163,173,317,319,330,339,344,354,368,370,386,388,396,411,417,428,429,444,453,606,615,620,629,636,651,653,667,669,684,692,701,711,714,725,732,739,753,754,768,776,787,791,801,813,815,828,832,840,853,863,865,875,890,899,902,912,920,931,935,950,952,959,970,980,991,1001,1004,1016,1021,1031,1036,1047,1059,1062,1072,1082,1092,1103,1107,1113,1126,1133,1139,1150,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,26,40,43,54,65,70,77,91,99,106,111,127,132,141,152,159,164,177,316,324,332,343,347,354,367,377,381,392,397,408,416,421,437,445,460,608,611,623,635,638,648,659,665,672,677,691,696,707,712,726,735,741,749,757,771,776,782,795,805,807,817,830,839,843,850,861,865,879,886,896,904,912,919,930,942,950,955,959,973,980,988,1000,1006,1013,1020,1035,1038,1053,1057,1065,1072,1085,1095,1101,1107,1118,1122,1137,1146,1150,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,32,37,44,59,65,71,82,87,97,106,118,120,132,144,149,157,165,176,316,321,334,337,350,354,369,374,380,391,397,408,413,421,433,441,600,606,611,618,627,636,646,656,666,672,682,692,698,704,717,723,734,738,750,759,771,777,782,791,798,813,821,830,832,842,850,862,871,874,887,899,904,914,924,927,936,946,957,959,971,977,993,1000,1009,1017,1027,1029,1041,1052,1057,1066,1077,1086,1087,1103,1110,1114,1123,1132,1140,1155,1162,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,30,39,44,54,63,73,82,93,96,105,111,121,132,144,148,157,168,175,316,324,332,337,350,357,366,371,381,392,400,407,412,427,431,443,468,601,611,621,632,636,646,656,663,671,683,687,695,709,717,721,730,740,751,755,766,775,787,796,800,806,816,826,832,846,853,864,867,879,888,891,904,911,922,928,935,949,957,961,972,982,988,995,1004,1018,1022,1033,1040,1052,1058,1064,1073,1085,1089,1102,1106,1114,1128,1130,1147,1151,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,21,32,40,50,52,66,74,84,90,101,102,112,119,135,140,152,154,166,172,316,325,331,340,346,359,366,369,380,389,399,410,418,425,429,442,600,608,615,626,630,643,647,653,666,674,678,689,698,709,717,725,730,742,752,759,771,780,783,791,798,807,821,827,838,843,849,860,870,880,888,898,902,916,919,926,938,944,957,961,970,980,989,999,1003,1017,1020,1031,1036,1046,1059,1068,1075,1082,1089,1101,1105,1117,1127,1135,1145,1151,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,26,34,50,51,62,69,78,88,101,103,112,123,136,139,153,157,162,172,313,325,333,340,344,360,364,375,386,390,398,404,413,421,433,446,600,604,609,624,633,642,646,654,667,675,683,693,703,706,720,725,735,738,748,758,764,772,781,794,805,810,819,829,833,845,853,859,871,878,883,895,900,912,922,927,937,948,959,960,972,978,990,999,1008,1015,1020,1030,1040,1046,1055,1068,1075,1079,1092,1100,1111,1119,1126,1134,1140,1152,1162,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,32,40,47,52,67,75,81,85,99,105,118,121,132,136,149,157,169,178,315,326,335,343,351,355,368,377,378,393,401,410,415,422,436,443,598,607,612,625,629,638,645,660,661,675,685,686,694,707,712,721,730,737,748,759,770,772,784,793,804,806,821,825,833,846,851,861,870,879,887,898,903,909,922,926,938,946,955,959,971,983,990,1002,1009,1010,1019,1035,1036,1045,1061,1063,1072,1086,1091,1098,1111,1117,1126,1138,1143,1149,1161,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,21,29,35,48,56,60,74,78,93,98,110,111,124,128,137,147,158,164,171,199,323,329,336,348,358,363,373,382,393,400,411,420,422,436,438,448,604,609,624,631,643,644,659,664,677,683,693,697,709,715,724,729,738,746,755,768,774,785,795,804,809,822,827,834,843,854,865,870,876,884,897,908,914,917,927,938,948,952,963,969,979,993,1001,1010,1014,1020,1027,1038,1045,1061,1067,1073,1085,1090,1096,1108,1116,1122,1135,1143,1150,1156,1169,1175	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,24,32,39,44,56,64,75,82,93,97,107,112,126,133,142,151,160,170,178,184,325,333,338,346,360,365,373,383,391,401,404,417,422,430,438,468,605,611,622,634,643,646,658,662,674,677,693,700,710,718,721,734,737,747,756,765,775,783,794,799,809,822,826,833,847,855,859,869,877,887,898,907,912,918,932,940,948,957,960,968,980,989,994,1004,1012,1020,1030,1042,1052,1057,1063,1073,1085,1087,1102,1108,1120,1122,1133,1141,1155,1156,1172,1176	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,19,33,36,43,53,60,68,82,91,95,103,112,126,129,140,152,161,167,178,185,321,327,340,347,352,367,374,382,390,395,408,414,422,435,445,597,604,617,619,628,639,650,653,661,669,684,694,700,704,714,725,735,743,746,758,763,775,781,789,801,813,817,827,833,844,856,864,867,881,889,895,900,913,923,928,940,945,957,966,973,984,990,999,1005,1012,1025,1031,1037,1045,1056,1064,1078,1085,1094,1098,1106,1119,1127,1132,1143,1152,1156,1164,1173	1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,13,23,31,41,49,54,67,73,84,85,94,110,118,125,131,138,149,158,170,174,202,318,328,336,344,356,363,374,380,393,399,405,417,422,434,443,449,604,616,618,626,641,647,660,663,674,684,686,698,706,716,720,737,738,750,762,766,774,783,794,802,807,815,825,838,840,849,865,873,875,891,898,903,910,919,927,936,949,952,962,971,981,986,996,1006,1011,1024,1035,1044,1047,1053,1070,1076,1083,1092,1099,1104,1116,1129,1134,1145,1149,1164,1165	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1
1,14,18,26,37,43,57,66,73,83,93,94,109,116,123,131,139,151,160,164,176,187,324,329,341,346,359,368,377,382,394,399,409,419,426,433,438,597,609,617,624,633,637,650,659,664,676,678,687,703,709,712,721,737,739,754,762,764,777,782,794,798,807,818,826,836,847,851,859,870,874,882,898,907,912,922,930,936,946,954,963,973,985,992,999,1005,1011,1020,1028,1042,1045,1061,1068,1077,1082,1089,1099,1112,1113,1122,1133,1147,1154,1157,1172	0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,19,27,40,46,54,67,75,81,87,101,104,115,127,130,137,147,154,169,177,181,324,331,336,344,359,361,376,386,394,399,404,416,424,434,443,467,606,611,621,631,635,651,657,663,672,684,688,700,707,719,725,730,741,753,755,769,775,784,792,801,812,818,828,833,840,854,858,869,881,882,894,902,913,924,930,934,947,955,960,970,982,985,993,1008,1018,1020,1031,1044,1052,1061,1070,1076,1080,1094,1098,1112,1116,1124,1134,1145,1150,1163,1170	0,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,24,33,39,50,54,63,70,83,86,97,103,118,120,132,141,151,160,167,178,198,321,331,340,345,357,364,373,386,388,401,412,415,429,435,441,600,603,615,622,629,642,649,659,662,670,685,691,698,706,714,724,737,741,753,758,771,775,787,795,798,807,822,829,839,847,850,860,872,880,890,897,906,915,925,927,942,946,955,964,971,980,993,998,1005,1011,1021,1034,1042,1052,1055,1063,1076,1087,1091,1099,1111,1117,1127,1131,1140,1152,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,23,32,35,43,51,62,72,77,92,96,102,113,124,136,141,151,157,168,176,199,322,329,337,349,353,364,371,384,394,403,409,416,426,436,439,597,605,617,624,632,639,644,658,666,671,684,686,698,709,714,722,730,745,753,757,771,775,781,796,801,811,822,825,833,846,848,859,872,877,886,892,902,916,918,928,939,946,952,962,976,979,989,999,1004,1015,1026,1030,1042,1049,1054,1062,1070,1085,1089,1102,1112,1120,1128,1138,1142,1152,1157,1167	1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,22,31,42,49,52,64,74,83,86,97,110,117,126,129,138,152,160,163,177,316,325,333,338,351,356,362,374,384,387,399,405,413,427,433,442,600,603,610,620,634,641,651,656,667,674,681,690,701,706,719,726,733,743,750,761,767,779,787,789,802,809,822,826,835,844,851,863,868,875,887,899,901,914,924,925,940,942,956,960,974,981,985,997,1003,1016,1024,1030,1037,1049,1056,1064,1078,1080,1089,1097,1109,1120,1122,1135,1141,1153,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,23,33,35,46,52,62,73,78,90,100,109,116,125,136,137,153,157,170,173,193,319,328,338,348,358,363,377,384,387,400,409,416,426,433,439,599,608,617,623,632,638,649,656,667,677,681,687,696,711,719,724,732,743,751,758,771,774,785,791,803,813,821,824,833,844,850,863,872,879,888,891,906,913,918,927,934,947,953,966,975,978,993,1002,1008,1013,1026,1028,1038,1050,1060,1067,1070,1081,1090,1099,1106,1120,1128,1136,1143,1148,1159,1165	1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,19,30,41,49,54,63,74,80,86,99,108,114,126,130,137,151,160,163,176,179,322,329,343,344,358,367,375,380,394,399,412,419,428,433,442,596,608,611,622,629,635,644,660,669,671,679,692,699,704,713,726,729,745,747,759,763,779,782,795,799,810,822,827,838,848,856,860,874,876,886,896,903,909,918,933,939,942,958,960,974,981,988,996,1010,1013,1022,1029,1042,1046,1060,1068,1074,1084,1093,1096,1111,1118,1126,1134,1145,1150,1164,1168	0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,13,20,28,40,49,59,61,73,83,88,98,108,117,126,134,142,150,158,165,175,179,326,335,338,348,359,366,369,383,389,400,411,419,424,433,444,599,608,614,624,627,635,647,654,664,675,682,686,702,703,716,724,730,739,746,761,771,779,781,791,804,813,818,826,836,846,854,858,872,876,882,895,907,908,920,926,940,947,955,960,976,985,987,998,1010,1014,1026,1032,1038,1052,1057,1065,1079,1086,1091,1099,1108,1113,1126,1138,1146,1148,1156,1172	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,20,28,40,47,53,65,69,84,90,95,108,118,125,129,143,149,158,165,176,185,319,330,341,349,360,362,372,384,387,402,410,414,425,434,442,599,608,611,622,631,636,649,652,669,676,682,693,695,708,712,721,733,745,753,762,764,775,785,790,804,813,816,824,839,844,856,859,869,878,884,896,906,915,921,932,937,947,955,965,973,979,987,999,1007,1011,1025,1032,1044,1052,1061,1068,1070,1079,1089,1104,1110,1118,1128,1136,1146,1150,1163,1166	0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,20,31,40,44,57,66,69,83,89,95,109,117,123,135,142,149,155,165,173,179,326,327,339,345,358,364,370,380,392,395,403,415,426,436,440,599,601,615,620,634,635,646,652,665,674,680,692,700,703,715,726,729,741,754,760,763,779,784,793,800,806,822,829,831,842,854,861,871,874,889,899,905,914,921,927,936,946,953,960,971,977,989,994,1002,1016,1023,1033,1036,1053,1061,1065,1073,1084,1091,1104,1110,1113,1124,1134,1144,1151,1158,1165,1173	0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,11,19,32,35,43,57,64,73,80,92,96,107,119,120,135,138,145,158,166,171,196,322,331,335,345,353,367,372,378,386,397,408,412,428,437,444,600,606,612,624,632,639,648,653,661,675,678,686,697,708,713,727,733,739,750,756,766,775,788,794,802,806,818,824,833,843,849,859,868,878,885,893,903,911,925,928,940,943,958,961,971,984,986,995,1006,1013,1027,1028,1036,1051,1060,1065,1074,1083,1094,1097,1106,1120,1126,1133,1139,1155,1162,1168,1173	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,9,23,29,36,47,54,61,70,77,93,99,102,114,124,131,145,148,157,162,177,316,324,329,339,351,358,363,374,384,394,399,404,416,422,436,439,599,604,615,625,627,642,648,652,661,676,681,689,697,705,714,724,736,743,746,761,768,771,784,797,805,813,814,824,833,841,855,858,871,875,886,895,904,913,919,926,940,944,952,963,974,982,990,995,1009,1011,1023,1033,1041,1045,1060,1070,1079,1085,1094,1104,1112,1116,1125,1135,1144,1153,1164,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,17,29,42,48,54,65,74,79,87,95,104,111,120,133,144,145,161,170,176,314,319,332,337,349,359,363,372,380,391,402,405,413,421,437,443,455,609,615,620,633,641,648,655,662,675,680,694,695,711,716,721,734,744,750,758,765,774,781,790,800,809,816,825,831,846,856,858,870,882,886,891,903,913,920,927,934,948,954,965,976,979,986,999,1002,1015,1027,1034,1041,1050,1059,1063,1074,1085,1095,1102,1108,1118,1124,1131,1143,1152,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,24,28,42,44,51,62,73,76,89,95,109,113,126,136,143,151,156,166,178,317,318,327,342,344,359,366,372,378,391,395,406,416,422,434,442,458,605,614,620,633,641,648,652,662,674,680,687,700,708,719,721,736,738,749,759,764,773,788,792,804,810,817,828,835,840,852,864,867,881,883,892,904,913,921,928,938,943,952,961,968,977,987,993,1004,1011,1022,1034,1039,1051,1059,1064,1073,1087,1089,1099,1111,1121,1126,1134,1139,1147,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,30,36,44,57,65,69,79,90,102,104,113,127,128,144,151,158,162,171,314,321,329,337,350,358,362,376,382,392,400,407,412,423,434,445,596,609,610,620,629,642,644,660,662,672,684,693,695,711,717,722,730,744,753,762,764,774,782,792,801,808,820,831,832,844,856,864,869,879,882,897,907,914,917,930,941,946,951,961,973,980,993,997,1005,1013,1027,1034,1038,1045,1056,1062,1075,1079,1094,1098,1111,1119,1129,1133,1140,1147,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,32,40,48,58,67,76,79,87,97,103,118,127,135,141,150,162,167,172,313,323,332,341,350,354,362,374,379,392,396,408,418,426,429,439,455,607,609,624,629,635,645,655,664,672,679,690,698,704,713,721,733,745,747,757,769,777,783,794,799,808,818,824,833,842,855,859,870,879,890,895,905,909,918,933,937,947,957,966,975,981,991,995,1006,1016,1023,1035,1037,1049,1059,1066,1072,1085,1094,1104,1106,1118,1124,1130,1141,1150,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,26,34,50,58,62,73,78,85,94,103,114,119,136,141,145,155,167,172,316,323,331,337,351,357,361,371,385,387,397,406,418,425,435,440,457,605,616,622,627,638,644,658,665,677,678,686,702,709,717,727,729,742,746,756,770,772,787,797,804,812,818,826,833,846,856,859,873,879,884,895,906,911,920,933,941,950,958,962,976,982,990,999,1003,1013,1020,1031,1043,1045,1053,1068,1078,1085,1088,1101,1107,1114,1129,1138,1146,1150,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,26,40,44,54,68,70,80,85,94,103,113,120,132,140,153,158,162,179,316,318,333,336,345,360,368,373,380,393,402,409,414,423,436,441,600,605,617,621,633,638,648,656,665,670,678,694,696,707,713,723,734,743,747,762,767,778,782,792,797,807,820,830,839,841,850,858,868,875,888,897,899,911,918,929,940,943,957,967,972,982,988,1002,1010,1015,1019,1033,1040,1052,1056,1068,1076,1086,1093,1103,1105,1113,1125,1133,1144,1153,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,23,33,35,45,51,61,71,81,85,101,105,118,126,134,142,147,156,165,176,314,321,331,335,349,356,362,372,381,390,401,405,416,423,435,443,600,607,615,625,629,643,648,659,661,677,684,694,695,708,713,725,731,739,748,756,763,776,780,793,804,812,816,826,839,842,856,865,867,876,885,893,906,910,920,929,937,949,953,961,970,980,988,994,1008,1016,1020,1029,1038,1046,1060,1067,1073,1081,1092,1097,1110,1116,1123,1134,1140,1155,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,33,41,44,53,64,73,76,87,94,108,119,122,132,137,149,161,164,179,188,319,328,337,347,354,361,374,383,393,395,408,418,426,436,438,596,606,610,621,628,640,648,657,664,673,683,693,696,711,715,726,737,739,750,754,767,775,787,791,798,812,819,826,839,847,849,859,866,882,888,894,907,915,919,931,939,943,951,964,973,983,985,997,1004,1013,1027,1028,1038,1046,1060,1066,1076,1083,1091,1100,1108,1117,1128,1138,1141,1147,1156,1170,1178	1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,20,27,37,48,55,60,71,82,86,96,107,119,125,135,138,148,160,164,177,313,320,329,335,344,352,367,375,382,393,396,411,413,423,436,439,600,606,613,619,633,641,646,657,667,674,680,689,699,706,712,726,735,740,746,761,765,773,780,790,800,812,821,826,839,840,849,857,872,874,890,899,907,910,916,929,940,945,954,966,973,983,991,993,1003,1013,1021,1036,1038,1051,1061,1069,1076,1083,1094,1097,1112,1114,1129,1137,1143,1155,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,26,35,47,59,67,73,83,90,97,107,117,119,132,144,152,154,169,175,313,320,334,341,352,354,367,370,383,391,403,405,415,425,430,439,599,602,610,620,627,638,648,659,663,671,680,693,700,706,719,723,733,743,749,762,771,780,781,793,802,810,822,824,831,847,849,863,870,879,885,899,901,909,917,927,940,944,953,967,973,984,989,999,1010,1019,1020,1036,1037,1050,1054,1070,1076,1081,1091,1097,1112,1117,1122,1135,1140,1152,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,27,39,46,52,66,72,79,87,101,107,113,125,130,139,145,156,167,177,315,323,333,341,352,359,362,376,378,388,403,407,415,421,429,447,471,601,610,620,627,636,650,656,664,677,683,692,698,706,717,725,736,739,751,757,765,776,784,793,799,806,816,829,840,847,851,857,870,882,891,895,901,913,921,933,941,944,952,966,969,982,989,993,1009,1018,1022,1032,1044,1051,1057,1065,1071,1079,1093,1100,1111,1117,1128,1137,1144,1150,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,27,42,43,57,61,68,80,91,98,110,111,127,134,140,149,161,166,172,313,319,335,338,344,359,367,377,384,393,396,410,420,426,429,444,468,604,614,623,628,637,646,657,663,670,683,688,700,710,717,727,733,740,753,759,767,779,782,789,802,807,819,827,836,840,856,861,869,882,890,893,900,913,917,929,936,948,954,964,969,983,987,997,1003,1011,1023,1031,1037,1046,1055,1065,1075,1084,1094,1097,1105,1113,1126,1132,1143,1151,1160,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,21,29,39,48,58,66,73,80,88,100,110,115,124,130,143,152,161,167,171,182,324,333,338,346,356,368,370,379,387,395,408,418,423,429,439,598,601,609,622,632,643,646,655,664,672,680,691,702,709,720,726,737,744,747,756,765,777,785,794,805,806,818,825,835,845,848,857,869,875,888,899,901,913,920,928,936,945,955,965,972,977,987,999,1010,1017,1022,1029,1042,1045,1059,1066,1076,1083,1091,1097,1110,1118,1125,1136,1145,1150,1158,1168	1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,15,25,27,42,48,58,67,70,77,86,95,105,117,123,136,143,153,161,170,178,315,325,330,342,345,358,361,371,385,393,400,409,414,423,430,442,600,602,617,620,630,639,644,654,663,674,679,692,694,708,714,725,737,742,752,761,769,779,786,790,800,813,817,825,839,841,854,857,873,880,887,896,907,909,924,929,937,943,959,966,973,981,990,997,1006,1017,1025,1028,1044,1048,1060,1065,1075,1087,1088,1102,1110,1115,1128,1134,1144,1151,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,26,41,45,55,60,71,81,88,94,103,111,123,132,140,149,161,164,174,313,325,329,339,347,358,362,370,386,391,401,406,416,425,436,445,460,606,613,621,633,636,645,659,666,675,681,688,697,707,716,724,733,744,752,759,768,772,786,795,797,810,816,824,834,848,850,865,866,875,884,896,900,915,925,926,934,947,959,961,975,978,991,999,1006,1018,1027,1034,1041,1052,1054,1063,1075,1083,1092,1104,1105,1120,1123,1134,1143,1149,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,23,28,36,45,55,60,69,80,89,102,110,116,119,135,144,149,162,167,178,315,319,329,343,352,359,365,377,378,391,397,410,420,424,429,443,600,603,617,622,629,642,645,652,667,670,681,694,699,707,716,726,731,738,746,755,768,774,783,796,803,806,819,826,838,843,851,858,866,880,890,893,902,912,919,932,936,948,958,963,968,977,986,995,1008,1014,1026,1030,1040,1045,1055,1063,1072,1086,1089,1099,1111,1118,1126,1137,1139,1154,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,26,35,45,58,63,74,85,87,99,104,116,121,134,141,149,157,163,174,314,324,328,336,347,355,367,376,383,394,400,410,420,421,433,442,600,603,613,619,633,636,646,657,665,677,684,690,697,707,712,726,736,744,746,760,768,774,786,791,800,807,814,826,837,844,854,859,866,880,883,896,907,912,923,927,942,945,956,962,972,977,990,999,1008,1013,1022,1029,1038,1048,1055,1065,1070,1087,1088,1096,1110,1113,1125,1131,1139,1149,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,28,38,47,55,65,69,83,87,102,109,118,124,133,139,150,155,166,170,315,323,334,336,344,358,366,373,385,388,397,410,412,425,433,443,598,602,616,624,626,639,644,654,666,673,683,689,698,708,715,721,730,744,752,754,763,776,781,789,799,809,815,828,839,841,855,859,871,882,890,895,902,916,919,928,936,943,957,962,968,982,987,994,1007,1019,1021,1028,1037,1049,1061,1064,1075,1086,1088,1100,1110,1118,1128,1133,1146,1154,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,18,28,39,48,58,64,75,84,87,101,105,113,119,133,139,145,155,162,178,317,323,329,342,345,358,367,371,383,393,401,410,413,426,435,440,449,607,616,624,633,640,643,652,663,671,680,686,699,710,717,725,734,740,748,759,768,773,788,793,802,807,822,823,835,844,852,860,871,880,889,892,902,915,922,929,934,943,954,960,972,985,993,997,1004,1015,1020,1028,1040,1047,1053,1067,1072,1081,1091,1101,1105,1117,1125,1131,1145,1149,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,25,37,45,54,62,69,83,87,98,108,115,125,128,137,147,154,166,172,314,321,329,338,346,357,362,375,380,390,402,404,416,425,437,442,597,606,612,622,628,636,648,656,667,671,684,688,701,710,716,725,729,744,751,756,768,778,782,792,797,809,815,827,833,842,850,863,868,877,886,894,907,914,918,933,942,949,956,968,972,981,992,1000,1007,1017,1019,1035,1040,1045,1053,1067,1075,1083,1087,1098,1108,1116,1126,1133,1147,1148,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,27,37,46,52,67,73,82,86,95,109,118,122,135,142,145,162,163,171,315,322,330,338,349,357,362,377,382,393,400,404,418,429,437,439,470,606,617,621,627,638,646,659,665,671,680,686,695,709,719,722,730,744,750,761,767,777,780,794,798,809,816,829,837,847,852,862,871,880,883,895,906,914,924,931,939,951,955,961,968,978,987,994,1006,1018,1027,1034,1045,1049,1057,1070,1073,1084,1094,1103,1109,1117,1127,1130,1146,1154,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,24,26,38,48,55,68,73,78,92,94,102,113,121,128,143,153,154,163,179,316,322,329,338,345,360,367,375,381,395,400,405,415,424,437,442,465,605,615,619,627,642,650,658,665,677,684,688,703,707,719,724,734,738,753,762,768,778,787,790,802,806,821,824,836,841,856,865,868,874,886,894,908,910,923,926,940,942,959,963,973,983,987,999,1003,1011,1023,1028,1038,1050,1055,1065,1076,1079,1091,1100,1109,1115,1129,1135,1145,1153,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,29,40,47,53,62,68,80,90,95,102,112,124,128,144,145,156,163,176,314,326,331,342,347,357,367,377,379,388,395,409,415,422,433,444,456,603,614,618,632,641,650,658,662,674,678,690,698,707,718,723,734,741,752,757,768,774,782,796,800,809,819,826,837,844,856,865,873,878,889,899,904,916,919,933,938,948,953,963,968,976,987,996,1009,1014,1023,1030,1042,1052,1059,1066,1072,1084,1089,1099,1110,1119,1128,1134,1147,1154,1163,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,30,40,45,56,63,75,85,91,97,103,118,127,132,140,145,158,170,174,314,320,333,340,345,355,364,377,384,387,399,409,417,427,437,442,598,604,612,626,631,643,651,655,665,675,683,686,698,711,718,727,731,739,749,760,771,775,781,796,805,807,818,825,833,845,849,865,866,874,883,897,901,909,919,933,935,944,955,960,970,980,987,997,1008,1012,1026,1030,1036,1052,1055,1065,1073,1086,1093,1096,1108,1114,1125,1130,1144,1151,1164,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,22,28,36,47,51,66,70,78,86,99,108,115,126,135,143,146,157,163,178,316,321,334,343,346,358,369,377,380,395,398,408,416,425,430,438,599,609,611,624,627,639,645,654,662,671,685,692,703,709,712,726,730,744,751,761,768,776,780,791,801,812,819,829,838,843,848,857,870,879,889,893,901,911,919,926,940,951,957,963,972,983,986,999,1003,1018,1024,1032,1036,1050,1059,1063,1071,1082,1090,1103,1107,1113,1127,1136,1141,1152,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,21,28,37,44,54,67,74,83,91,99,102,118,123,133,139,149,154,169,174,182,319,333,336,345,358,366,373,383,390,396,406,414,428,430,444,598,604,614,622,634,638,648,657,662,674,685,694,703,711,713,721,735,738,751,758,771,780,785,793,797,812,820,830,838,845,856,859,869,878,884,898,899,912,920,932,936,945,959,965,971,978,992,1000,1007,1016,1021,1030,1037,1050,1054,1068,1072,1079,1092,1104,1106,1119,1124,1136,1142,1149,1163,1172,1178	0,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
3,14,17,26,40,48,57,63,70,85,88,98,109,113,120,133,142,145,160,170,171,184,323,328,340,344,355,362,371,386,389,401,405,415,425,433,443,471,607,617,619,630,635,647,654,665,674,684,689,694,710,713,721,736,738,754,762,770,775,782,794,801,810,816,825,838,841,850,862,872,875,890,897,904,911,921,926,942,944,952,964,972,982,989,1001,1008,1011,1026,1031,1043,1051,1056,1067,1076,1087,1092,1101,1106,1121,1129,1130,1145,1152,1158,1168,1174	0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,11,21,29,42,47,56,67,71,82,91,94,103,111,125,131,138,148,158,167,176,181,321,331,341,344,353,367,369,386,389,400,408,419,428,434,441,598,609,616,618,633,641,647,660,661,677,685,689,699,711,719,721,736,738,747,755,764,779,781,791,803,808,817,826,833,844,851,865,869,878,883,899,907,909,921,931,934,947,956,965,974,984,992,996,1003,1013,1023,1028,1042,1048,1060,1062,1075,1080,1089,1101,1105,1114,1128,1131,1142,1149,1163,1172,1175	0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,12,17,32,36,46,53,61,74,83,92,99,104,114,128,132,145,153,155,166,170,185,323,334,336,351,358,367,369,383,392,400,408,414,428,436,441,596,601,615,624,626,637,650,652,668,672,682,694,695,707,718,726,729,742,749,756,770,779,787,797,799,807,819,824,838,847,856,863,872,874,891,895,901,908,921,931,934,946,959,961,972,980,985,1001,1005,1013,1022,1029,1044,1046,1054,1062,1078,1084,1087,1101,1107,1121,1127,1133,1142,1152,1163,1169,1176	0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,20,31,34,43,53,65,69,78,88,94,105,116,123,130,137,148,161,165,176,182,319,328,340,348,355,363,376,379,386,396,406,414,423,429,439,600,606,614,621,631,638,647,656,661,677,684,693,701,706,714,728,730,744,751,755,767,780,787,792,802,813,815,826,835,841,851,857,869,879,883,892,908,913,918,928,938,946,951,967,969,983,986,994,1008,1018,1026,1034,1041,1045,1057,1069,1077,1079,1093,1100,1108,1121,1122,1134,1141,1150,1156,1170,1173	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,18,28,36,49,57,63,76,78,85,98,103,111,125,133,144,148,157,170,176,187,324,332,340,346,354,362,372,382,394,400,408,416,423,435,446,598,607,613,625,632,639,644,660,663,672,685,686,699,708,719,723,735,741,748,758,769,773,781,793,803,806,820,825,832,847,856,860,869,880,888,897,901,911,918,932,940,950,955,966,975,979,987,997,1007,1017,1020,1030,1042,1045,1054,1066,1072,1087,1094,1098,1109,1116,1128,1131,1143,1154,1161,1172	1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,14,23,33,42,46,54,62,75,84,86,94,109,116,124,131,140,147,154,168,177,181,323,329,336,347,358,368,371,380,389,398,410,420,423,429,442,469,604,616,620,634,639,647,652,664,669,680,690,696,706,716,727,729,739,754,760,765,774,783,791,801,811,815,823,836,847,850,862,865,877,887,897,902,911,922,932,942,947,952,967,968,981,988,994,1005,1011,1022,1029,1036,1045,1057,1064,1078,1086,1095,1097,1106,1113,1123,1136,1143,1148,1157,1166	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,17,30,40,47,57,62,70,78,91,97,109,117,127,131,144,149,155,168,171,184,323,333,343,346,357,368,377,382,391,397,409,418,426,432,441,459,607,612,623,629,635,649,656,669,676,678,692,699,710,713,723,730,745,749,756,766,772,787,793,797,806,820,823,832,841,855,861,870,880,889,896,905,916,921,931,934,950,954,963,968,978,990,1001,1006,1016,1025,1028,1038,1046,1055,1065,1071,1085,1093,1102,1112,1119,1127,1136,1141,1148,1156,1165	0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,8,18,31,38,42,57,66,69,80,90,101,107,113,121,131,137,148,154,167,171,315,320,333,341,348,355,361,374,382,394,402,408,416,427,434,445,468,603,613,622,630,639,652,659,665,676,678,690,697,707,712,723,736,743,748,757,767,775,783,790,804,812,818,823,836,846,849,858,870,879,890,894,900,911,918,926,937,947,951,965,969,979,987,995,1010,1016,1025,1035,1040,1046,1060,1066,1077,1081,1091,1097,1104,1114,1126,1137,1146,1152,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,27,34,48,57,66,72,80,89,96,107,114,120,134,141,147,159,167,172,183,321,335,338,348,360,365,377,385,388,396,408,419,424,437,442,599,603,610,620,634,636,644,652,667,676,679,692,699,707,714,724,732,743,751,761,765,774,780,792,804,811,814,828,832,842,852,864,872,874,886,892,905,911,924,930,938,943,954,967,971,980,985,997,1005,1012,1026,1032,1038,1049,1057,1065,1070,1083,1087,1100,1112,1115,1123,1133,1140,1155,1163,1165,1177	0,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
4,8,22,33,34,42,55,65,72,82,89,95,107,114,123,129,139,147,154,162,174,192,320,327,339,349,354,362,373,384,390,398,407,417,424,429,438,598,608,610,623,632,636,651,657,665,676,684,688,698,704,712,725,729,744,748,762,765,779,782,797,798,810,821,830,837,842,853,863,870,882,888,895,907,913,922,927,941,947,959,965,974,982,987,998,1006,1017,1024,1034,1039,1052,1062,1066,1074,1085,1089,1100,1109,1117,1123,1138,1147,1151,1160,1167,1177	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0
2,16,23,33,35,45,51,67,71,83,89,101,106,112,127,128,142,150,160,163,171,179,321,329,341,346,360,364,376,380,391,397,407,415,426,437,442,600,604,615,623,627,641,647,659,663,671,683,689,698,704,712,727,731,745,754,763,770,780,785,793,799,808,814,827,832,841,850,862,866,876,885,896,902,913,923,930,935,948,958,960,971,977,992,1000,1007,1016,1024,1033,1038,1052,1057,1065,1077,1081,1089,1101,1107,1117,1129,1136,1138,1155,1164,1166,1174	1,1,0,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,23,30,37,43,58,59,70,84,90,97,103,117,123,132,141,153,160,168,177,200,319,332,335,351,357,364,376,383,388,395,404,419,423,435,440,599,609,616,621,631,636,652,654,667,677,683,687,698,708,712,726,730,742,750,761,767,776,783,795,801,808,817,829,837,840,853,862,873,878,883,894,900,915,924,932,934,942,956,966,971,981,989,995,1004,1013,1026,1035,1037,1046,1054,1064,1077,1083,1090,1102,1112,1119,1130,1132,1146,1150,1162,1171,1177	1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,21,31,37,45,52,64,72,79,92,94,110,112,122,133,140,146,157,162,172,182,324,329,339,347,356,365,376,381,391,401,405,418,424,429,445,600,601,614,623,631,635,648,658,662,671,679,692,698,706,715,720,732,737,747,760,764,776,781,796,802,807,816,827,832,845,848,865,871,876,887,892,901,908,922,932,936,946,954,960,975,981,985,1000,1010,1017,1025,1031,1040,1048,1053,1063,1078,1086,1093,1101,1113,1118,1127,1131,1147,1152,1163,1166,1173	0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0
4,12,21,33,38,46,53,65,75,78,91,98,103,115,122,130,138,146,161,163,172,188,321,329,339,351,356,366,376,382,389,400,408,417,420,436,438,596,605,615,620,626,642,644,660,663,670,678,686,699,711,719,728,732,740,748,756,769,778,785,792,802,813,815,827,833,846,857,864,866,881,888,891,906,916,919,932,941,943,951,962,972,981,989,998,1007,1015,1025,1031,1040,1052,1061,1066,1076,1083,1093,1100,1105,1119,1128,1132,1139,1148,1161,1171	1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,17,30,37,49,55,59,70,81,88,102,105,112,120,135,137,145,154,170,176,316,320,330,341,348,358,361,375,383,387,401,406,413,427,436,439,598,606,616,621,628,637,652,660,668,671,678,691,694,705,717,727,732,740,751,755,763,775,786,795,798,807,815,828,835,847,850,860,873,880,883,895,908,915,917,930,939,945,955,964,969,979,989,999,1004,1015,1022,1034,1041,1050,1060,1069,1072,1084,1088,1098,1107,1120,1129,1132,1145,1155,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,25,39,43,53,60,70,84,93,101,104,114,126,132,136,149,153,164,179,315,321,333,338,346,352,365,373,384,391,398,410,413,421,433,441,599,605,615,624,627,636,645,657,666,672,680,689,700,707,718,727,733,743,747,758,769,778,780,789,803,807,817,830,831,845,851,863,867,882,885,892,907,915,921,930,942,946,953,963,972,982,992,1001,1004,1018,1027,1028,1036,1046,1057,1067,1075,1086,1094,1102,1107,1114,1127,1134,1140,1153,1162,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,22,34,37,46,59,66,70,85,92,99,110,114,125,130,143,152,161,166,172,318,326,329,341,351,354,362,374,379,391,400,405,413,427,431,441,597,604,617,625,630,640,650,658,660,670,683,686,697,703,715,726,731,745,746,758,763,778,781,794,805,812,821,827,832,847,852,863,866,877,890,897,908,916,923,928,939,948,957,968,971,982,989,997,1002,1018,1025,1032,1041,1050,1057,1067,1078,1081,1092,1102,1105,1119,1124,1131,1141,1153,1163,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,29,36,48,58,63,68,84,86,97,108,117,125,134,141,146,161,162,174,318,324,331,336,346,358,364,375,381,394,396,407,418,423,437,438,597,601,614,625,629,638,646,655,665,677,682,689,699,706,715,723,737,739,746,755,769,772,784,797,798,809,820,825,832,843,852,859,867,875,887,898,901,909,923,928,942,948,958,962,971,977,991,1000,1008,1013,1023,1029,1044,1051,1059,1066,1071,1082,1092,1098,1112,1113,1124,1134,1139,1151,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,32,37,43,55,67,75,82,88,97,105,111,125,131,140,146,157,163,175,314,325,334,340,345,353,368,376,384,394,402,404,418,427,434,442,600,601,610,622,629,638,644,652,668,670,680,691,697,706,715,726,735,739,747,758,764,777,781,791,797,806,815,826,834,845,854,857,868,880,886,891,906,908,920,930,939,950,954,960,972,978,986,995,1007,1018,1024,1030,1041,1046,1058,1063,1075,1080,1088,1098,1105,1118,1129,1138,1142,1154,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,32,37,50,59,68,70,77,87,99,109,115,121,129,141,151,155,165,177,314,322,329,342,351,353,363,375,385,391,398,408,417,421,432,445,455,602,615,622,628,635,650,658,663,672,680,690,697,711,716,724,729,740,753,757,768,777,786,789,800,812,822,825,832,845,854,859,873,878,886,894,902,915,924,930,937,948,957,962,971,982,987,1000,1010,1012,1020,1035,1042,1046,1053,1067,1074,1085,1090,1098,1105,1113,1123,1132,1146,1150,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,23,32,38,48,54,65,70,85,91,101,108,112,123,129,137,153,158,168,172,315,318,332,336,349,352,366,374,380,389,403,406,415,424,436,440,597,601,609,625,627,636,651,652,667,675,683,689,697,710,713,727,733,742,753,759,771,778,788,793,805,806,815,829,838,840,851,862,867,881,885,899,900,912,923,926,935,946,958,962,968,977,992,997,1009,1016,1024,1035,1036,1052,1055,1063,1076,1083,1094,1098,1113,1119,1129,1133,1146,1148,1164,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,23,34,42,49,56,60,70,83,91,101,106,118,124,129,139,150,158,170,174,316,318,330,335,348,354,365,375,384,391,401,406,416,422,433,444,459,600,614,618,628,636,644,654,667,675,683,691,695,709,713,725,729,740,751,760,764,771,784,794,799,807,821,826,835,842,851,858,866,876,884,896,907,914,921,930,935,943,953,965,968,979,991,996,1005,1019,1027,1031,1041,1049,1061,1069,1076,1082,1089,1102,1111,1120,1127,1132,1142,1151,1159,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,23,31,38,45,58,64,71,80,89,98,102,115,122,128,143,152,160,163,173,202,324,333,342,348,357,366,373,382,386,401,409,414,429,435,445,596,603,613,620,632,638,650,652,663,669,685,688,696,708,717,723,732,741,748,761,768,777,780,789,803,808,822,824,838,843,853,860,865,881,888,897,903,913,921,927,934,943,957,962,968,979,989,999,1007,1011,1026,1034,1038,1050,1058,1066,1072,1080,1094,1097,1111,1114,1124,1137,1145,1155,1156,1167,1175	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,11,20,31,36,47,54,65,71,84,88,95,104,118,121,131,140,145,154,164,173,313,322,334,342,347,357,368,373,378,392,402,403,417,424,432,439,599,607,615,621,628,642,647,654,664,670,685,688,703,707,719,725,734,738,747,757,767,776,783,796,805,809,820,830,833,846,850,862,868,880,883,893,907,910,918,931,939,942,954,961,972,978,986,998,1002,1012,1019,1028,1043,1051,1058,1067,1073,1084,1089,1104,1107,1113,1126,1135,1146,1152,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,32,37,50,55,63,74,80,90,101,105,111,127,128,139,153,157,165,177,317,321,327,338,347,360,365,373,379,392,395,405,416,422,437,443,597,608,611,625,627,635,646,652,667,672,683,689,697,709,718,723,734,739,746,758,770,779,780,789,799,808,815,829,835,848,855,861,872,877,891,895,906,910,921,929,942,949,955,960,972,981,992,997,1006,1013,1022,1033,1042,1049,1058,1064,1077,1079,1093,1104,1108,1113,1129,1132,1144,1149,1157,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,26,38,44,57,65,71,83,90,95,104,114,122,134,140,152,154,165,175,315,318,329,336,352,356,363,377,382,390,398,406,413,423,431,438,599,603,616,626,628,643,650,654,662,677,682,686,702,705,714,722,736,741,753,757,764,779,786,793,798,809,817,824,838,844,856,864,868,875,883,897,907,908,918,928,938,947,958,966,969,985,989,996,1005,1016,1020,1029,1042,1045,1058,1068,1077,1084,1094,1100,1111,1114,1127,1134,1147,1150,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,33,34,44,52,64,71,78,93,95,109,116,120,135,140,146,160,163,176,317,326,327,343,349,357,362,374,381,393,397,409,414,424,434,444,597,608,610,620,630,642,646,653,661,674,685,688,697,711,714,725,732,740,752,761,765,780,785,788,805,810,818,823,836,842,853,865,866,876,887,894,908,916,918,931,937,950,957,966,975,984,992,999,1007,1015,1019,1032,1039,1046,1054,1064,1075,1086,1089,1101,1107,1113,1129,1133,1142,1155,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,27,40,49,57,64,75,79,86,101,107,118,126,129,140,151,161,164,173,186,318,330,338,346,358,364,376,380,387,395,407,418,426,431,443,450,605,616,621,626,640,648,659,663,674,679,688,698,708,717,721,734,739,748,754,771,775,784,788,802,809,821,825,837,845,849,857,866,882,884,893,902,911,918,926,939,945,956,962,972,981,990,996,1003,1017,1021,1028,1042,1050,1061,1069,1072,1083,1093,1098,1106,1114,1125,1137,1147,1149,1160,1166,1177	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,18,31,36,43,53,60,76,83,85,96,110,118,127,130,142,153,155,169,177,313,320,331,339,350,358,367,377,385,392,399,406,415,427,429,445,598,603,615,626,633,643,652,654,663,669,678,687,698,708,713,721,736,740,750,756,766,779,788,789,800,811,815,825,832,844,852,857,868,881,888,895,907,914,921,932,940,950,951,966,971,981,989,1001,1006,1018,1024,1036,1037,1051,1058,1066,1074,1082,1090,1101,1111,1117,1125,1136,1145,1152,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,33,37,50,59,61,73,77,91,101,103,118,120,132,139,152,155,164,177,313,319,327,336,346,354,368,375,386,391,395,408,412,425,429,445,600,603,610,624,628,638,649,654,661,670,680,692,701,706,718,726,737,742,752,755,763,777,787,790,805,809,822,827,832,843,852,860,874,879,888,894,902,916,920,929,939,944,957,962,970,983,992,1000,1008,1012,1023,1028,1042,1045,1054,1064,1071,1084,1089,1101,1112,1113,1122,1133,1142,1150,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,17,27,34,47,58,65,76,81,89,96,109,115,124,132,144,149,158,166,178,313,321,334,342,346,360,364,371,383,393,401,411,413,421,430,446,596,606,614,619,629,637,650,656,662,673,684,693,698,708,715,723,730,741,749,756,764,778,780,788,803,809,821,825,835,848,855,863,870,882,885,895,903,916,920,931,936,950,952,966,971,979,992,999,1007,1015,1020,1032,1043,1049,1060,1067,1070,1086,1087,1098,1108,1116,1124,1136,1147,1152,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,27,37,47,59,64,72,83,91,94,102,119,122,134,137,146,160,170,174,317,322,333,339,349,357,366,369,378,391,402,409,417,422,434,441,597,605,617,618,630,639,649,660,665,670,681,692,703,708,713,728,733,738,751,754,767,774,784,796,803,808,819,823,835,840,855,865,866,875,885,897,900,909,924,930,934,945,957,965,969,983,993,1000,1005,1011,1019,1032,1043,1047,1055,1062,1071,1083,1094,1100,1110,1114,1126,1132,1146,1152,1157,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,18,27,40,49,51,62,70,82,90,99,108,114,124,129,138,148,155,164,175,317,326,334,342,345,355,364,376,385,392,396,408,414,423,435,444,597,607,610,618,628,637,645,655,666,669,684,694,702,704,715,722,736,739,751,760,764,775,786,796,800,811,816,831,832,847,855,861,870,881,883,893,905,913,924,925,939,947,956,962,975,979,988,1000,1006,1016,1020,1028,1043,1047,1054,1067,1074,1081,1087,1097,1111,1121,1129,1134,1141,1151,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,24,32,41,48,54,61,76,84,86,100,104,113,120,132,136,145,159,165,177,314,322,330,338,345,356,365,372,380,391,395,406,418,422,431,446,599,603,610,624,629,642,649,658,664,676,681,689,698,708,718,726,736,739,751,758,768,774,784,794,804,812,819,827,833,845,849,858,870,880,885,897,905,914,922,933,934,945,953,962,975,980,988,993,1006,1015,1019,1028,1041,1051,1061,1065,1077,1086,1089,1103,1108,1116,1123,1135,1139,1148,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,31,38,48,55,64,73,77,92,100,109,113,127,132,139,151,157,164,177,317,323,328,338,345,360,366,376,383,393,397,403,416,421,433,441,447,602,612,624,630,635,644,656,665,671,683,693,698,710,714,721,737,742,749,762,771,778,781,795,803,810,821,827,832,846,856,862,870,880,885,891,905,916,923,931,935,944,951,961,973,978,985,1001,1003,1018,1022,1032,1043,1047,1058,1063,1071,1082,1088,1098,1109,1119,1122,1133,1144,1155,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,29,41,51,52,60,71,84,93,96,103,113,123,128,144,146,161,163,172,318,322,327,343,345,355,368,374,385,393,401,411,412,425,435,438,598,609,613,619,626,637,647,659,667,674,678,694,698,711,717,721,731,743,751,756,766,775,787,793,799,806,821,823,837,848,852,857,865,875,887,891,902,911,925,933,937,948,958,966,973,977,989,996,1002,1015,1027,1035,1041,1045,1056,1066,1073,1082,1093,1099,1106,1119,1125,1135,1145,1147,1162,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,26,39,44,58,65,76,79,91,101,109,111,121,133,144,149,153,168,171,318,322,330,335,347,353,363,371,382,386,398,406,416,427,431,438,449,603,609,618,630,642,646,657,663,675,678,688,696,706,712,726,736,743,754,761,768,774,784,793,802,814,819,827,839,842,856,858,868,878,890,893,907,908,920,927,939,943,959,963,972,982,990,995,1002,1012,1027,1036,1040,1048,1058,1070,1075,1085,1093,1102,1111,1117,1126,1135,1139,1148,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,21,27,39,44,56,61,70,82,89,97,110,114,121,131,138,151,155,165,174,315,320,330,341,349,355,367,370,382,386,399,407,420,428,435,439,597,604,610,619,627,636,646,653,669,675,682,686,702,703,717,725,737,739,748,757,771,779,784,791,804,812,814,830,836,840,855,863,870,878,883,898,908,913,921,933,935,944,956,962,969,980,991,998,1004,1015,1019,1034,1036,1048,1057,1062,1073,1083,1093,1099,1108,1120,1124,1135,1140,1149,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,24,30,36,43,57,64,74,84,88,96,105,114,122,130,143,146,158,163,176,317,320,333,339,351,353,368,376,386,394,402,406,414,428,433,443,596,606,610,626,632,636,646,654,661,671,681,687,695,711,714,721,737,739,746,757,767,774,783,790,802,811,821,825,837,841,851,860,872,880,887,898,908,909,924,928,941,949,953,967,971,978,989,995,1005,1018,1023,1034,1037,1049,1054,1069,1071,1087,1092,1096,1112,1114,1129,1136,1144,1155,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,27,36,48,54,62,71,82,88,96,106,112,122,129,142,151,158,170,177,318,322,331,336,349,354,367,375,382,388,399,411,415,427,431,439,455,608,614,622,632,637,645,658,664,676,681,687,697,707,716,724,730,745,752,756,767,774,781,788,802,808,817,823,835,847,850,857,869,875,889,897,905,914,919,925,940,949,951,966,976,977,992,999,1010,1012,1026,1033,1037,1050,1060,1069,1074,1082,1090,1098,1107,1121,1122,1137,1145,1149,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,27,35,48,54,62,76,80,92,100,109,116,126,132,140,151,158,166,178,184,323,327,340,346,357,369,376,378,390,395,405,413,422,429,445,460,607,612,623,628,639,651,655,661,677,686,692,699,709,718,725,729,738,748,757,763,778,780,790,804,813,818,829,831,840,854,861,866,878,890,897,907,913,917,928,936,942,954,962,975,984,993,994,1006,1018,1019,1034,1038,1048,1058,1063,1075,1086,1096,1101,1112,1119,1127,1137,1147,1148,1160,1171,1178	1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,21,30,41,50,52,67,75,85,87,99,107,119,123,132,139,150,159,164,174,192,320,327,335,350,356,364,371,386,390,399,407,418,422,430,438,596,603,614,625,633,642,648,654,667,673,686,690,702,707,712,728,736,744,746,755,766,777,784,790,805,813,816,826,839,842,856,860,868,877,886,893,905,912,919,925,941,944,952,966,975,983,993,1002,1010,1016,1025,1033,1041,1049,1057,1062,1071,1086,1089,1101,1112,1117,1122,1131,1144,1149,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,16,25,33,37,43,55,66,69,81,88,99,108,118,120,129,138,153,155,167,178,188,320,330,339,344,360,362,370,381,388,398,411,420,421,436,445,463,604,616,621,634,640,644,659,667,672,682,690,696,706,715,720,734,745,748,755,764,772,782,789,802,811,817,826,832,840,854,859,870,879,890,894,901,909,924,928,937,947,952,963,969,979,989,995,1004,1015,1024,1030,1036,1050,1060,1070,1073,1083,1088,1104,1108,1117,1127,1138,1145,1152,1162,1165	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,14,21,26,41,49,58,63,76,84,85,97,108,119,120,133,138,148,161,170,176,180,323,335,336,349,356,361,372,382,390,401,412,418,424,437,444,457,605,617,624,633,637,647,653,663,677,684,688,701,704,719,722,733,744,754,759,765,777,786,792,802,810,822,829,839,842,854,861,870,882,887,897,903,909,917,929,939,948,958,966,972,983,985,998,1005,1017,1025,1030,1041,1046,1054,1068,1072,1083,1088,1100,1106,1114,1129,1134,1147,1152,1162,1172,1178	1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,13,19,27,42,45,52,61,68,77,89,99,103,117,123,130,144,146,161,166,171,186,322,330,341,347,359,367,374,381,393,398,408,414,422,433,443,599,607,612,624,629,641,650,660,669,677,685,687,698,703,718,727,735,741,748,758,770,772,784,791,797,809,818,828,832,840,850,865,870,881,885,891,904,909,917,928,935,949,957,959,968,982,990,1001,1005,1014,1027,1036,1042,1053,1054,1063,1073,1079,1093,1097,1113,1121,1122,1138,1146,1152,1156,1171,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,16,24,29,40,43,59,65,69,78,89,96,108,111,122,132,143,153,160,165,173,200,326,332,341,348,355,361,377,381,386,399,406,416,425,432,439,597,603,615,620,626,635,644,658,665,670,684,691,697,703,717,726,730,741,753,761,765,776,786,795,801,810,819,827,839,842,851,857,872,879,887,896,902,908,917,928,939,945,958,964,969,983,987,997,1010,1017,1019,1031,1039,1047,1058,1063,1077,1085,1095,1096,1109,1117,1124,1136,1143,1152,1162,1168,1178	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,25,29,36,44,56,61,75,79,88,101,103,115,126,136,138,149,159,169,174,194,318,335,336,351,353,363,375,378,391,399,409,413,424,437,443,457,607,614,626,632,637,644,660,668,677,682,686,694,704,717,724,733,741,747,757,769,772,785,792,803,805,817,829,831,842,849,861,873,879,889,893,902,916,921,932,937,943,951,964,972,981,990,996,1009,1014,1022,1029,1041,1051,1056,1068,1071,1086,1092,1103,1110,1116,1122,1135,1144,1153,1157,1165	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,9,21,27,40,49,56,67,74,81,87,100,106,113,126,129,138,150,162,163,176,182,322,333,336,345,355,365,373,381,389,399,408,416,423,436,438,452,604,612,622,630,640,645,655,665,674,685,690,699,711,718,728,736,745,752,757,765,779,787,795,803,811,820,827,837,845,849,857,872,880,890,894,901,911,922,933,935,942,953,965,971,984,990,997,1010,1011,1026,1031,1039,1048,1061,1063,1077,1079,1093,1099,1109,1121,1122,1135,1142,1155,1162,1166,1176	0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,18,31,36,49,54,66,73,78,89,95,106,117,124,136,142,149,160,163,177,314,318,334,337,352,357,362,371,384,391,403,404,417,426,435,444,468,602,613,622,629,640,644,655,663,677,684,690,699,704,718,723,736,737,747,757,771,772,785,792,799,811,822,830,834,848,849,861,866,877,888,898,901,909,919,927,935,945,956,960,974,981,989,993,1008,1017,1026,1032,1038,1050,1057,1065,1071,1086,1092,1101,1112,1114,1126,1134,1146,1153,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,22,34,41,45,58,66,72,82,92,101,103,113,121,128,138,148,161,164,177,187,325,327,339,351,357,368,370,380,391,399,405,419,424,432,445,455,608,611,620,631,635,646,654,664,671,680,693,695,709,715,721,735,744,748,762,766,776,784,794,801,809,814,830,835,843,854,858,869,880,882,896,904,911,924,925,941,950,952,962,975,977,990,995,1009,1012,1021,1034,1040,1045,1057,1062,1078,1081,1089,1098,1112,1116,1125,1131,1139,1151,1164,1165,1177	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,18,25,36,47,57,67,71,79,89,99,107,113,126,135,142,152,155,164,174,184,326,327,342,348,354,369,376,381,392,395,407,415,422,436,439,466,601,615,623,634,637,648,655,668,676,684,686,699,706,713,720,736,743,754,760,767,773,784,791,803,809,822,828,838,845,854,861,866,881,889,895,900,913,919,926,936,951,954,965,973,978,992,994,1006,1014,1021,1034,1044,1045,1060,1064,1076,1083,1091,1104,1110,1117,1125,1137,1139,1154,1160,1172,1173	0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,18,31,38,43,51,64,73,82,87,101,110,116,121,129,140,147,156,168,176,184,321,331,340,351,353,361,377,386,390,398,408,419,425,433,442,597,607,616,624,633,641,648,653,662,677,680,691,701,703,712,724,734,738,746,763,764,774,786,796,801,811,822,826,831,843,854,864,871,875,887,894,903,915,917,926,939,946,952,959,968,982,987,1000,1009,1017,1027,1036,1037,1048,1055,1065,1077,1087,1093,1102,1107,1115,1129,1134,1145,1155,1163,1168,1178	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
2,8,25,30,41,43,52,64,76,81,93,97,105,119,120,132,136,151,160,162,174,183,324,327,339,346,358,368,376,385,390,403,407,419,428,434,438,596,601,610,624,630,640,644,660,668,674,686,694,699,709,719,723,731,744,748,756,765,772,788,790,799,813,815,830,837,844,853,864,868,878,886,898,908,914,923,926,937,947,952,965,973,977,993,998,1003,1016,1019,1032,1041,1051,1055,1067,1072,1081,1095,1104,1111,1117,1127,1136,1145,1151,1161,1167,1177	1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0
3,10,22,26,35,45,56,64,73,81,85,97,104,118,127,135,143,147,155,164,173,185,321,328,336,347,354,368,371,383,392,403,407,416,423,429,438,466,608,613,619,628,640,646,652,661,671,680,688,702,709,719,722,732,744,748,762,768,773,787,796,805,812,821,823,835,845,850,857,868,877,883,897,902,908,917,927,934,943,959,962,972,983,992,995,1008,1013,1022,1031,1040,1051,1053,1070,1071,1087,1095,1099,1105,1114,1129,1137,1144,1151,1157,1164	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,13,25,32,35,47,55,61,69,80,87,101,105,111,126,131,136,149,154,168,172,188,324,329,342,346,354,368,369,381,388,398,411,419,423,436,443,597,605,612,624,630,642,652,655,666,672,684,692,697,711,719,720,729,745,746,754,765,780,782,789,798,808,814,825,832,847,853,858,867,875,887,897,904,911,923,927,940,947,952,965,969,977,988,1001,1007,1011,1023,1028,1040,1048,1055,1066,1076,1081,1093,1102,1109,1120,1125,1136,1144,1151,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,11,21,32,37,48,53,66,68,85,93,96,102,113,125,130,143,148,161,167,172,316,321,333,341,349,356,368,374,383,394,395,403,415,421,429,445,460,601,613,622,634,643,644,657,661,670,682,693,700,708,717,727,734,742,750,759,769,776,784,790,801,806,819,827,839,845,855,861,867,878,890,895,904,909,917,932,934,943,954,963,970,982,991,995,1005,1012,1022,1029,1037,1051,1060,1069,1077,1083,1092,1103,1113,1116,1124,1130,1145,1147,1163,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,31,39,43,56,64,74,80,92,98,108,111,122,128,137,148,153,170,174,314,322,329,341,345,352,363,374,383,389,401,404,420,421,432,438,454,604,612,623,627,636,650,658,665,671,679,687,702,708,715,728,731,739,747,755,764,777,782,794,798,812,815,823,832,842,857,858,870,876,887,899,902,913,920,933,935,948,955,965,976,983,987,998,1003,1011,1025,1029,1038,1051,1054,1069,1078,1084,1089,1101,1110,1120,1122,1132,1143,1149,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,26,42,46,51,65,76,82,90,102,105,116,124,135,139,152,158,169,175,313,325,326,341,346,355,364,372,379,387,403,407,412,428,435,439,596,604,612,619,634,636,649,660,665,673,679,694,695,706,720,724,737,743,748,759,767,778,781,795,803,807,815,827,836,840,856,859,872,880,888,899,906,912,918,927,937,948,958,961,972,981,993,1000,1007,1018,1020,1027,1038,1045,1061,1066,1073,1080,1088,1100,1112,1120,1128,1133,1144,1149,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,25,31,40,50,58,61,69,83,85,96,103,113,121,134,142,151,157,164,178,318,325,334,336,352,356,366,372,381,389,397,406,413,421,436,441,600,607,616,622,632,643,644,655,663,672,684,694,702,705,715,721,735,740,748,760,765,773,785,788,802,807,816,830,836,843,855,865,869,877,887,898,900,916,918,933,942,949,959,967,974,980,987,1001,1002,1019,1026,1029,1039,1049,1060,1069,1076,1079,1088,1104,1113,1116,1128,1132,1144,1148,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,27,41,49,52,61,70,81,85,99,110,115,124,136,141,146,159,170,172,317,321,327,343,349,352,361,377,381,391,395,404,414,422,437,443,598,606,612,618,632,643,645,659,668,676,683,693,697,703,713,723,736,740,751,754,764,779,786,794,803,806,820,829,835,847,856,859,871,881,883,892,906,911,925,933,939,946,958,963,968,980,986,1000,1005,1017,1024,1034,1039,1052,1059,1062,1076,1080,1090,1097,1105,1114,1125,1138,1143,1150,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,31,39,48,57,61,71,81,90,96,110,112,119,133,138,151,157,169,172,313,325,332,341,351,358,362,374,384,394,397,410,415,427,433,444,598,606,613,625,628,638,643,653,667,675,684,686,701,709,719,726,731,744,747,755,770,772,781,795,803,812,817,825,834,842,855,859,868,882,885,896,904,908,920,927,939,944,953,961,970,981,993,996,1008,1018,1021,1031,1044,1051,1054,1068,1078,1082,1093,1098,1108,1116,1130,1131,1145,1152,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,25,36,43,53,64,73,83,91,100,109,112,123,131,137,146,161,167,173,313,325,328,343,350,357,362,371,380,386,403,406,419,424,430,444,598,605,612,626,633,640,645,659,662,670,681,692,697,705,716,724,733,737,753,754,765,779,781,795,801,807,822,828,838,845,852,864,872,878,884,891,905,916,918,933,939,949,958,962,971,983,987,999,1003,1018,1024,1029,1042,1051,1056,1065,1072,1081,1093,1101,1108,1120,1127,1132,1139,1153,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,25,35,44,51,66,72,83,89,100,104,112,126,132,140,148,158,168,176,316,326,334,343,349,355,368,373,382,389,399,405,417,425,431,443,466,608,615,618,633,641,652,656,663,673,678,693,701,707,717,721,736,737,750,758,763,774,786,795,800,807,821,823,836,843,849,863,870,876,884,891,902,913,925,931,936,942,958,965,976,980,987,994,1009,1015,1026,1034,1044,1048,1057,1067,1074,1084,1090,1096,1112,1117,1123,1136,1147,1155,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,27,36,48,55,63,75,79,88,101,109,115,124,133,138,150,154,164,176,195,322,333,336,345,354,362,373,381,391,403,410,420,428,436,438,598,602,609,620,629,640,651,659,661,670,682,692,695,706,719,727,734,744,752,755,765,774,781,792,802,809,815,829,835,845,853,862,870,876,889,895,908,914,918,930,936,949,952,966,972,982,990,995,1002,1017,1020,1031,1042,1051,1055,1063,1070,1085,1090,1096,1107,1115,1126,1132,1139,1154,1156,1172,1177	1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,13,18,27,35,50,59,66,73,81,88,97,103,114,122,131,139,151,161,164,171,316,325,333,339,348,357,362,372,379,387,395,406,420,428,437,446,456,604,615,622,628,640,649,658,668,673,679,693,703,705,713,726,729,738,748,760,765,774,781,791,804,814,818,825,838,844,850,858,866,879,884,896,901,911,925,926,938,948,954,960,968,983,992,999,1004,1011,1019,1029,1041,1045,1054,1063,1074,1086,1091,1100,1106,1119,1125,1138,1142,1154,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,31,36,48,53,63,71,79,86,97,110,114,125,136,143,150,160,170,172,318,319,334,341,351,358,362,370,383,389,396,411,413,422,433,446,458,605,616,621,631,641,651,654,663,674,681,694,698,707,719,728,730,742,747,756,771,772,781,792,803,812,821,827,836,845,849,857,866,875,884,898,902,915,917,929,938,944,951,962,975,981,988,999,1010,1014,1022,1030,1041,1045,1060,1067,1071,1086,1092,1103,1108,1115,1124,1134,1141,1151,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,24,33,37,45,57,68,72,83,93,94,106,117,125,133,138,147,160,168,173,314,325,332,340,345,353,361,369,379,390,397,406,418,425,435,440,471,606,617,624,627,638,646,653,667,671,678,690,696,708,712,725,729,745,750,761,771,775,784,795,798,813,815,830,839,848,855,857,866,875,891,895,904,910,920,932,938,945,952,962,972,982,990,998,1004,1014,1020,1029,1042,1045,1058,1063,1074,1080,1091,1102,1105,1114,1129,1133,1141,1155,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,33,38,46,53,62,76,80,92,101,109,114,120,128,141,151,157,169,174,317,323,334,335,349,358,361,377,384,388,396,406,413,421,436,440,596,605,616,621,633,640,651,655,669,675,680,686,695,709,716,722,731,742,754,758,763,778,785,790,802,807,816,829,832,847,853,857,868,882,883,893,902,916,921,931,935,950,953,965,972,983,986,999,1002,1013,1022,1031,1039,1045,1055,1070,1072,1085,1090,1096,1112,1114,1128,1134,1141,1149,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,25,26,42,44,56,59,75,77,86,98,107,111,124,133,138,147,158,166,178,180,320,330,339,345,356,365,370,383,389,400,412,416,428,434,445,600,604,613,619,628,642,649,656,663,673,681,693,699,705,714,728,733,742,753,762,767,773,786,795,805,809,819,826,837,841,855,858,871,877,883,896,906,913,919,926,934,949,957,966,970,977,987,993,1002,1014,1020,1034,1038,1053,1061,1069,1076,1085,1095,1097,1107,1119,1126,1134,1147,1150,1160,1166,1173	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,19,30,40,48,55,67,74,78,91,95,103,119,127,134,138,146,156,169,176,314,323,332,336,346,355,364,372,380,393,402,407,420,423,436,442,596,608,609,625,628,643,648,652,663,670,680,691,696,707,714,726,734,742,752,756,766,774,783,795,800,810,822,828,834,841,853,857,866,881,888,896,903,913,919,932,937,946,955,963,968,979,985,999,1005,1013,1019,1031,1044,1045,1060,1065,1076,1079,1088,1103,1105,1119,1128,1137,1140,1153,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,25,38,48,56,65,73,84,90,97,104,118,119,130,140,151,156,165,171,314,323,330,338,350,358,368,374,382,393,396,408,415,426,430,445,596,607,609,622,632,637,646,655,661,670,686,687,696,706,715,723,734,742,752,762,764,774,784,792,798,810,815,823,839,842,849,865,868,880,887,897,901,913,919,928,942,945,956,965,968,982,991,997,1010,1011,1024,1028,1043,1051,1054,1063,1070,1080,1094,1103,1109,1118,1124,1131,1143,1150,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,32,36,49,58,66,71,79,87,102,106,114,121,129,139,151,156,169,172,314,326,330,343,348,354,361,371,378,393,395,407,416,427,437,444,598,608,616,618,634,642,648,652,662,677,678,692,696,710,712,727,730,745,753,759,765,775,781,792,798,813,818,831,832,847,854,857,867,876,883,896,906,911,919,932,935,948,954,962,974,979,987,995,1006,1013,1019,1035,1036,1047,1058,1067,1078,1087,1090,1097,1112,1120,1126,1137,1147,1148,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,33,36,45,52,60,74,81,87,97,110,116,119,130,136,149,158,164,175,315,318,332,343,347,352,365,371,385,387,399,408,420,421,431,440,596,606,610,618,630,635,646,658,664,672,682,692,696,707,713,722,733,740,751,755,770,772,784,793,799,812,816,826,837,841,855,863,866,879,883,896,903,915,923,929,936,945,952,961,970,980,987,994,1010,1018,1021,1034,1036,1046,1055,1063,1070,1087,1094,1104,1109,1115,1127,1135,1142,1151,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,32,40,48,51,64,76,78,86,98,104,117,120,133,142,150,157,163,174,315,318,330,336,345,353,366,375,386,388,400,412,417,422,432,442,600,609,613,622,629,641,647,657,665,675,685,693,697,705,718,727,732,737,749,755,766,774,784,790,805,809,820,830,837,845,855,858,866,877,884,898,901,909,918,929,938,948,956,963,968,982,987,994,1004,1011,1027,1029,1043,1049,1058,1068,1078,1080,1090,1096,1112,1118,1130,1137,1138,1148,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,29,42,44,53,65,76,82,90,97,105,114,122,135,140,150,159,167,177,316,323,334,337,352,359,367,376,382,394,403,405,413,425,435,438,599,607,609,618,628,643,644,656,666,669,681,689,698,710,720,722,735,743,750,761,771,778,787,790,798,812,819,826,837,845,849,861,869,875,890,899,906,911,919,926,940,943,954,965,976,977,989,999,1009,1015,1019,1029,1043,1048,1058,1063,1075,1084,1091,1103,1112,1121,1128,1136,1145,1147,1161,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,19,31,40,49,52,61,70,80,92,98,109,112,122,131,142,145,158,168,175,314,323,333,339,345,358,364,371,378,392,396,408,416,424,431,445,447,609,610,621,630,636,649,656,662,671,681,694,696,710,719,722,736,745,751,755,770,776,783,790,798,810,814,824,832,848,855,861,871,881,890,896,903,909,918,929,934,943,955,959,971,981,992,1001,1003,1016,1027,1029,1038,1052,1055,1069,1071,1086,1090,1099,1105,1119,1124,1132,1145,1155,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,31,41,45,53,67,73,82,93,97,107,112,126,128,140,150,156,169,174,318,319,330,337,347,360,368,376,385,388,402,405,414,421,436,442,466,601,617,621,628,642,651,659,662,669,680,694,698,711,715,723,734,745,748,758,763,778,783,794,799,806,822,830,834,847,852,858,871,878,884,896,900,911,917,929,936,946,957,965,973,981,990,996,1005,1011,1024,1029,1042,1051,1056,1066,1070,1080,1087,1100,1107,1115,1125,1132,1142,1148,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,32,41,49,56,64,75,79,86,96,109,116,124,128,139,152,160,166,175,317,319,327,340,350,354,365,370,378,388,401,406,417,425,436,446,598,608,615,618,633,641,651,657,663,670,680,687,702,711,719,724,737,741,748,759,770,779,787,796,804,806,821,831,837,843,851,865,871,876,885,892,902,909,921,926,934,943,955,964,972,979,989,996,1006,1017,1019,1033,1041,1046,1054,1066,1071,1079,1095,1100,1109,1113,1122,1137,1142,1155,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,28,39,43,54,62,68,83,90,98,105,113,123,132,140,145,162,164,171,317,324,334,343,344,357,361,376,380,391,402,405,416,422,434,444,596,609,612,625,634,638,647,660,664,675,684,686,696,704,720,726,734,738,749,755,768,776,783,792,798,810,817,827,837,844,853,863,866,880,888,893,904,913,922,928,936,949,951,966,971,978,992,996,1004,1018,1026,1035,1042,1046,1061,1068,1077,1085,1096,1102,1112,1116,1123,1135,1142,1154,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,30,40,44,51,63,69,83,91,97,109,115,125,129,139,153,155,167,175,315,321,329,336,351,358,366,369,378,386,401,410,419,422,433,440,597,604,612,619,627,639,652,658,660,674,684,694,695,710,717,722,735,742,747,760,765,776,787,793,803,810,822,828,834,848,856,863,873,878,885,894,901,910,921,930,936,947,957,966,968,977,985,997,1006,1013,1025,1029,1040,1045,1055,1065,1075,1079,1092,1099,1108,1121,1126,1136,1141,1153,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,32,38,50,54,65,73,83,93,99,104,112,121,133,139,152,160,163,175,316,325,334,341,349,352,363,375,382,390,397,405,418,423,436,444,596,606,612,624,634,638,646,659,664,675,683,693,696,708,719,721,729,743,753,759,766,773,785,794,802,808,821,826,834,842,855,865,869,879,890,891,903,912,921,930,940,948,952,960,973,977,990,1001,1007,1011,1024,1032,1043,1051,1059,1069,1071,1082,1093,1099,1105,1116,1125,1133,1147,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,25,39,46,56,63,69,82,86,101,103,111,125,133,143,149,154,168,177,182,322,330,339,346,358,361,377,383,390,400,405,419,428,437,441,600,602,609,626,627,641,651,660,667,671,683,688,702,708,719,722,736,741,751,757,770,773,785,794,801,807,818,826,833,848,856,860,865,874,890,891,901,909,917,932,941,949,958,966,970,984,993,997,1002,1011,1026,1033,1040,1052,1055,1065,1078,1086,1089,1098,1110,1119,1122,1133,1144,1155,1158,1172,1174	0,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,12,19,31,40,42,56,66,73,78,93,100,105,113,127,133,144,149,161,164,175,188,319,332,341,344,359,367,369,381,386,398,404,412,426,435,438,599,608,617,623,629,641,646,653,667,674,681,687,696,705,717,728,734,743,748,758,771,776,781,788,799,811,817,826,832,844,851,862,869,880,887,892,900,915,918,933,937,945,951,964,975,976,989,996,1010,1015,1020,1032,1041,1045,1053,1062,1072,1081,1089,1102,1110,1121,1127,1130,1146,1154,1158,1170	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,18,25,34,49,53,62,73,77,89,100,107,115,124,135,139,150,157,165,179,197,324,328,336,347,357,369,375,385,388,399,409,419,423,429,438,600,603,615,620,632,636,649,659,664,669,681,694,696,707,720,726,729,744,748,755,771,775,782,793,803,812,816,829,832,841,854,862,873,880,889,894,903,911,924,927,935,950,959,963,973,984,986,995,1006,1017,1025,1033,1042,1047,1059,1067,1078,1082,1095,1099,1109,1114,1128,1135,1142,1155,1159,1166,1174	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,21,28,42,45,55,61,70,84,91,96,103,114,127,128,143,152,154,168,172,182,320,334,340,345,354,361,370,378,391,399,410,418,428,429,443,470,605,615,619,627,640,648,657,663,669,678,691,697,706,713,728,729,745,751,758,767,774,781,789,801,805,816,825,839,842,856,862,867,876,891,898,903,909,918,931,940,947,955,963,975,984,989,994,1009,1016,1024,1031,1039,1048,1061,1064,1072,1083,1093,1101,1109,1117,1127,1130,1142,1153,1156,1165	0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
5,17,25,28,39,43,57,64,75,82,93,101,108,111,126,131,140,148,156,165,178,313,322,332,341,350,354,365,373,386,390,397,404,412,422,429,442,599,604,610,624,633,636,647,654,669,674,685,689,697,708,717,721,733,743,749,755,771,774,785,790,801,809,816,830,833,844,856,863,866,880,891,896,905,916,917,933,942,949,957,967,975,978,993,997,1010,1017,1027,1028,1042,1049,1057,1062,1077,1083,1094,1102,1112,1119,1122,1136,1144,1148,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,20,30,35,50,57,61,71,82,89,98,110,113,125,134,139,151,158,165,178,187,322,334,336,345,358,368,371,382,387,402,408,414,424,434,439,600,603,614,626,627,635,652,660,663,672,679,691,701,707,718,723,733,745,747,763,764,772,782,791,803,811,816,828,837,846,849,857,866,875,890,898,904,910,922,933,939,948,952,959,972,979,988,1001,1009,1012,1022,1032,1041,1051,1059,1063,1073,1081,1091,1104,1108,1120,1125,1133,1146,1155,1159,1169,1173	1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,19,32,35,48,53,65,69,82,89,100,104,119,122,135,144,152,159,169,176,184,319,332,339,351,354,367,377,384,387,400,411,413,428,435,439,463,603,614,625,634,640,645,653,663,670,679,689,701,710,716,726,729,737,754,759,765,776,781,789,802,814,820,830,837,845,856,863,866,876,886,899,908,910,917,925,937,949,952,967,974,980,989,995,1006,1012,1023,1028,1043,1052,1059,1064,1075,1079,1090,1103,1113,1115,1124,1137,1144,1148,1159,1171,1175	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,22,32,36,42,56,65,72,79,91,96,105,115,125,136,142,152,161,162,171,193,319,328,339,344,359,365,372,381,390,398,403,419,429,433,441,453,605,611,622,631,642,646,653,665,674,679,692,698,710,712,722,733,742,753,763,765,778,781,793,799,807,815,825,831,847,853,863,871,878,885,898,908,913,921,929,942,949,955,960,971,978,993,996,1008,1016,1026,1032,1041,1051,1059,1062,1076,1083,1092,1103,1107,1115,1130,1134,1141,1149,1161,1164	1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,20,33,41,49,57,65,69,82,90,101,108,115,127,128,144,149,156,169,179,317,319,328,336,349,355,367,375,386,387,399,411,417,428,437,441,458,609,613,623,634,636,651,658,666,676,684,688,695,709,717,723,736,740,747,759,770,777,783,789,804,809,818,829,832,846,852,857,866,878,884,893,905,912,917,929,936,950,958,966,975,982,991,995,1004,1018,1024,1033,1037,1045,1053,1069,1075,1086,1090,1101,1109,1116,1127,1134,1141,1151,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,28,36,48,55,67,71,80,90,96,103,116,126,130,143,148,160,166,174,186,322,333,340,346,360,368,370,383,391,396,403,420,429,435,444,452,606,617,618,630,638,649,658,666,676,682,693,702,708,718,722,734,737,752,761,763,772,782,789,803,806,816,830,837,846,850,865,868,874,883,892,905,909,922,930,935,949,955,964,972,981,987,1000,1009,1017,1022,1028,1037,1047,1054,1063,1078,1081,1095,1098,1106,1117,1121,1135,1142,1155,1158,1164,1175	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,18,31,40,47,52,68,74,81,92,94,108,118,124,135,139,150,154,169,176,186,321,330,337,347,356,366,374,383,393,403,405,420,425,431,442,454,605,610,620,630,639,650,653,664,674,684,690,701,707,720,723,736,744,748,761,765,773,785,794,798,808,820,831,837,844,850,863,872,880,890,894,907,915,917,930,934,946,954,965,971,982,986,996,1004,1018,1021,1033,1037,1049,1058,1064,1076,1085,1088,1102,1107,1121,1129,1135,1145,1154,1156,1166,1174	1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,9,23,33,35,47,51,61,68,82,89,96,105,118,120,133,145,151,157,170,172,189,322,327,338,351,356,364,372,386,393,401,411,420,424,435,440,462,600,614,619,628,636,646,658,667,675,684,693,701,703,717,722,731,743,754,762,765,779,782,792,802,806,816,823,836,843,848,863,869,878,884,891,901,914,924,931,935,945,956,961,974,981,988,1000,1003,1014,1025,1035,1043,1051,1056,1063,1072,1085,1087,1100,1111,1119,1127,1131,1141,1148,1161,1166,1174	1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,10,21,31,38,48,55,60,69,80,87,98,110,117,124,131,137,152,157,162,176,180,319,329,340,345,355,363,376,383,387,402,403,419,426,432,439,465,607,616,623,628,635,648,654,664,672,684,694,701,711,714,725,735,742,749,756,765,778,786,791,800,813,820,823,835,848,852,860,871,877,891,899,907,916,924,931,942,945,953,966,970,985,987,998,1005,1017,1020,1033,1040,1049,1061,1069,1074,1080,1093,1102,1111,1117,1125,1138,1147,1152,1163,1172,1178	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,8,19,25,36,48,59,66,75,80,88,94,106,116,123,129,136,151,157,166,170,207,321,334,337,349,360,367,370,382,387,400,403,414,429,434,437,597,601,611,619,632,639,646,652,662,672,683,692,702,703,717,725,734,743,754,759,768,779,780,794,799,811,818,830,831,842,854,859,873,875,884,896,901,914,918,930,939,942,951,965,969,980,992,1001,1002,1017,1021,1033,1036,1046,1058,1064,1078,1087,1091,1101,1110,1114,1125,1136,1147,1155,1164,1170,1173	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,11,21,30,38,44,51,66,70,84,90,99,107,119,121,130,142,152,155,165,174,187,323,332,343,344,358,368,374,381,388,396,403,416,424,431,442,600,607,612,626,631,642,650,658,666,672,679,690,696,708,713,721,731,738,751,758,770,776,785,796,804,809,817,825,839,842,849,859,871,882,888,894,904,908,925,931,936,942,959,963,970,982,990,995,1004,1013,1026,1036,1044,1047,1054,1070,1072,1082,1089,1100,1112,1116,1124,1132,1139,1153,1163,1168	1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,19,29,36,43,54,66,74,80,87,95,107,111,120,135,137,153,159,164,173,313,326,329,338,351,359,361,374,385,391,395,404,416,424,432,438,468,601,611,623,634,640,645,655,668,674,686,694,696,709,719,721,733,741,747,756,763,773,788,789,803,807,817,829,838,842,849,864,870,880,885,895,907,913,919,930,934,942,954,961,972,977,993,995,1005,1016,1022,1035,1042,1052,1055,1063,1076,1080,1095,1099,1109,1118,1125,1134,1147,1154,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,22,30,35,45,55,61,68,80,88,97,109,116,122,135,140,150,159,168,176,314,325,326,338,346,353,363,375,384,389,400,407,420,423,433,440,448,605,614,626,627,640,650,659,665,670,685,688,700,703,715,727,733,745,753,760,767,776,780,793,804,810,821,823,831,846,853,864,865,875,887,897,907,911,919,932,941,943,953,963,969,977,985,998,1004,1017,1022,1030,1042,1046,1053,1062,1070,1080,1095,1099,1111,1119,1129,1131,1146,1156,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,30,39,45,54,66,73,78,89,98,102,115,127,128,142,147,158,169,176,314,321,335,338,351,355,363,369,380,386,402,405,420,423,430,441,455,606,617,624,631,643,645,658,663,676,678,692,694,708,718,721,733,743,747,760,768,776,781,796,803,811,815,828,839,847,848,861,867,876,885,891,904,908,916,933,934,948,957,964,973,979,990,1000,1006,1016,1021,1034,1037,1049,1055,1064,1071,1083,1089,1104,1105,1121,1130,1133,1143,1147,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,30,34,45,56,68,74,79,92,95,102,117,121,131,142,150,157,167,172,314,318,332,338,345,360,368,373,384,387,399,408,419,421,432,443,458,607,612,623,634,639,648,653,661,672,685,692,696,709,719,724,730,744,753,756,767,775,783,793,803,808,822,831,835,844,857,863,872,874,883,892,906,916,919,931,938,945,959,967,973,983,992,995,1002,1015,1022,1028,1044,1049,1060,1063,1071,1079,1089,1104,1111,1117,1121,1132,1143,1149,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,25,28,38,48,58,64,75,82,91,98,106,116,127,131,137,149,161,165,177,316,319,331,338,350,353,363,375,383,394,397,404,419,427,429,443,468,606,610,619,627,636,643,652,668,673,682,687,697,706,717,722,731,738,750,758,771,772,781,788,803,809,815,826,831,845,853,863,872,878,885,897,902,914,924,931,941,944,951,960,971,982,989,999,1009,1016,1026,1033,1040,1052,1056,1065,1077,1080,1089,1098,1106,1121,1122,1137,1144,1150,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,29,38,44,55,60,70,77,86,100,109,116,119,128,140,152,161,166,176,315,320,328,336,350,358,365,370,380,390,398,407,414,422,431,441,457,606,609,621,626,635,647,655,662,676,681,689,695,707,719,724,730,745,746,755,769,774,785,789,799,814,822,831,835,843,852,864,871,880,888,896,908,916,921,926,935,950,953,960,974,978,992,997,1003,1014,1020,1035,1044,1047,1059,1066,1076,1080,1094,1104,1108,1120,1125,1132,1144,1155,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,24,29,36,47,56,60,71,77,89,99,104,113,123,131,142,145,154,168,177,316,322,329,340,350,353,362,372,379,391,398,411,418,424,431,439,598,609,610,618,631,641,648,659,661,670,681,694,702,704,718,721,734,745,751,758,767,772,788,791,797,808,819,826,836,844,849,858,871,879,883,894,899,908,921,930,940,946,954,960,973,983,985,1001,1007,1011,1025,1032,1038,1050,1057,1065,1078,1087,1093,1104,1110,1117,1125,1137,1143,1153,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,17,29,36,47,59,63,73,82,90,95,108,118,124,129,145,151,154,169,170,316,326,331,340,351,360,364,377,384,388,399,405,413,421,431,442,598,606,613,621,626,637,649,652,665,672,684,690,697,709,713,728,737,744,747,762,769,776,786,797,800,808,818,829,834,843,856,863,870,874,885,899,902,913,924,927,940,948,954,967,971,978,985,999,1007,1011,1025,1033,1039,1048,1057,1068,1077,1087,1091,1097,1111,1119,1126,1134,1139,1147,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,28,40,46,54,66,76,78,89,101,106,114,120,130,139,153,160,168,174,201,322,327,339,351,359,363,377,383,391,395,406,416,427,431,440,597,606,613,620,634,638,648,653,667,676,681,687,702,710,720,726,732,739,746,762,769,777,788,796,797,810,817,826,834,841,849,865,870,877,885,897,908,912,918,933,934,943,958,961,968,985,989,995,1002,1015,1027,1030,1040,1051,1059,1066,1078,1087,1091,1096,1108,1116,1122,1132,1141,1155,1157,1170	1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,20,31,37,45,56,66,68,76,89,94,108,115,127,136,137,153,159,169,179,318,324,334,343,351,352,363,370,380,387,395,411,416,424,436,444,454,604,614,622,633,637,651,659,663,677,681,692,699,706,716,723,731,742,750,759,770,774,787,796,801,809,817,829,839,843,855,864,869,882,890,896,905,913,921,928,940,942,956,964,968,976,987,998,1010,1012,1022,1028,1037,1046,1055,1064,1078,1085,1094,1102,1113,1120,1129,1138,1141,1149,1156,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,24,27,37,45,53,64,69,83,92,94,102,113,120,129,138,149,158,165,172,316,325,333,340,351,360,366,376,384,390,397,409,418,428,431,439,600,602,615,624,630,638,648,655,665,669,678,694,700,705,715,724,736,745,746,762,766,776,786,792,799,812,822,824,835,842,850,862,867,877,885,892,900,909,919,928,935,948,954,963,976,979,993,996,1010,1015,1021,1034,1039,1045,1060,1067,1073,1080,1089,1099,1110,1116,1124,1130,1139,1148,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,26,39,43,58,63,74,84,85,100,109,116,121,130,141,146,157,162,173,318,325,327,343,346,353,367,372,378,386,402,411,415,428,430,440,600,605,612,622,628,637,644,656,667,671,683,693,701,706,717,722,731,739,754,755,763,779,783,791,799,805,816,829,835,844,854,858,872,875,886,893,901,915,918,925,935,943,958,966,971,977,990,996,1002,1014,1026,1031,1039,1052,1055,1069,1079,1086,1089,1104,1107,1116,1123,1134,1142,1152,1156,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,27,35,49,54,67,71,78,87,95,108,117,124,133,142,150,159,168,174,314,318,333,339,344,358,362,374,382,389,395,404,420,421,431,443,599,603,609,621,633,639,646,655,662,670,682,688,702,705,720,726,734,739,746,755,763,773,782,792,799,808,819,828,838,847,852,863,869,877,887,893,902,909,924,931,941,944,955,964,973,978,990,994,1009,1013,1020,1030,1040,1048,1055,1065,1077,1081,1091,1099,1109,1120,1122,1134,1145,1149,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,18,29,38,42,53,65,69,85,87,102,107,111,126,130,139,151,159,165,171,186,326,328,336,349,355,364,370,379,392,397,408,412,428,431,438,597,607,614,620,631,641,647,654,661,673,681,689,697,707,716,726,736,743,751,761,770,776,780,796,798,811,818,826,834,844,849,861,868,876,889,896,908,915,923,926,939,949,955,967,972,983,992,996,1007,1018,1022,1029,1042,1050,1056,1068,1071,1084,1095,1098,1112,1114,1128,1135,1141,1152,1157,1172,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,13,20,31,34,47,53,68,70,78,86,97,109,112,121,135,138,152,160,167,178,317,326,334,337,350,353,368,377,385,387,398,404,414,427,429,441,461,607,610,620,629,638,652,659,661,669,684,689,700,711,714,726,731,739,754,761,764,774,783,791,800,814,820,825,836,843,855,865,867,880,890,898,901,912,920,933,934,948,957,965,973,983,993,998,1006,1012,1019,1032,1042,1049,1058,1064,1072,1082,1091,1104,1109,1113,1122,1138,1147,1153,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,28,35,48,56,64,71,81,85,96,110,111,123,130,142,146,157,169,171,313,319,329,337,349,355,369,376,380,391,396,403,412,427,434,438,599,601,609,618,630,639,646,657,668,676,683,686,700,704,717,726,733,743,753,761,768,779,783,794,799,807,817,823,836,846,851,858,872,880,887,897,902,913,923,930,934,947,954,960,975,978,985,994,1010,1015,1022,1035,1040,1049,1055,1064,1076,1080,1094,1097,1110,1121,1124,1134,1143,1153,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,33,41,50,54,65,69,79,89,98,105,115,127,135,139,147,155,163,178,316,322,327,343,352,359,364,370,384,389,398,404,417,428,432,440,596,604,617,619,633,641,646,652,668,670,682,694,701,708,714,725,731,744,747,757,769,779,788,790,805,806,822,829,839,841,851,862,869,875,889,893,902,908,918,928,935,943,954,962,968,983,989,994,1002,1019,1022,1032,1037,1046,1056,1068,1076,1082,1093,1099,1105,1118,1124,1135,1146,1155,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,33,39,49,55,61,73,83,87,96,103,111,122,133,139,151,160,167,172,314,323,332,339,350,358,363,372,385,387,396,404,412,421,432,443,598,602,616,618,634,638,650,657,664,674,679,694,699,709,714,728,731,740,747,758,765,776,785,793,804,812,818,827,835,843,854,860,871,876,884,893,905,913,917,930,940,943,959,965,973,980,987,999,1009,1015,1022,1033,1038,1046,1053,1062,1075,1080,1092,1100,1110,1116,1124,1137,1139,1151,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,29,42,43,54,67,75,78,92,97,103,118,124,129,139,146,162,163,174,317,325,331,338,346,358,366,373,384,389,402,407,418,425,430,441,597,603,609,623,628,637,649,655,667,673,686,691,699,704,718,727,737,739,752,759,765,777,785,791,804,806,816,826,837,846,854,859,865,879,885,893,903,913,925,928,939,947,954,963,971,983,987,999,1007,1011,1027,1029,1043,1045,1060,1064,1077,1085,1090,1097,1105,1113,1129,1137,1139,1147,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,25,39,44,51,60,69,85,86,98,107,113,121,130,143,149,156,170,176,315,325,329,337,347,352,361,370,382,390,403,412,414,421,429,443,454,602,610,618,633,642,645,656,663,673,681,688,697,708,718,722,733,742,748,759,766,778,783,795,801,811,816,823,833,844,854,859,870,880,889,893,906,915,922,932,941,948,951,967,974,978,987,996,1006,1019,1027,1036,1037,1052,1056,1064,1071,1080,1095,1100,1106,1118,1128,1134,1142,1151,1156,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,20,32,36,48,55,65,70,84,85,95,106,115,122,131,142,153,154,164,172,316,320,333,341,350,358,364,372,385,394,403,411,417,425,437,445,459,603,617,625,629,636,646,658,666,672,679,689,698,711,716,726,733,741,751,762,770,775,784,796,799,812,820,826,837,844,853,860,868,881,882,892,906,914,923,926,940,947,957,966,975,978,987,999,1009,1011,1023,1033,1037,1048,1062,1067,1073,1079,1087,1101,1106,1119,1127,1130,1146,1150,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,19,28,38,43,58,64,69,84,87,102,107,118,121,133,142,150,154,164,177,317,321,333,342,350,356,364,370,383,387,397,408,415,426,432,442,600,604,612,624,631,642,650,659,664,677,683,692,699,706,719,721,733,741,750,759,763,776,788,789,797,812,820,830,836,840,851,864,869,882,885,896,903,911,917,926,939,948,953,965,968,978,990,1002,1010,1012,1024,1036,1039,1048,1059,1062,1071,1079,1087,1097,1111,1113,1126,1131,1144,1155,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,32,39,50,53,63,76,84,90,102,104,115,125,136,139,147,157,164,173,313,318,328,339,349,358,365,371,383,392,401,409,419,422,436,444,600,603,612,625,634,639,650,660,661,676,685,686,698,705,719,725,731,740,746,761,763,776,785,790,801,811,822,828,834,844,850,858,866,879,884,894,900,914,921,926,937,948,959,963,973,984,991,1000,1006,1016,1021,1033,1043,1052,1053,1064,1078,1084,1091,1098,1110,1114,1121,1131,1143,1151,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,20,26,35,44,56,63,74,78,87,94,110,115,122,134,141,148,159,167,171,315,322,326,341,348,358,368,377,378,393,400,406,420,423,436,445,447,605,613,623,632,640,643,658,669,677,684,690,699,711,715,722,733,741,749,760,767,775,787,796,801,809,819,823,837,840,855,863,873,875,890,895,903,913,920,925,938,946,951,959,971,983,992,994,1002,1015,1022,1031,1041,1051,1060,1063,1075,1085,1090,1098,1107,1121,1129,1135,1145,1155,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,30,42,43,51,64,69,85,93,100,103,118,122,129,142,145,155,169,175,316,325,335,343,346,354,367,371,378,391,398,411,419,423,429,443,597,607,610,622,631,636,648,659,663,675,685,686,697,705,716,725,732,739,751,754,769,771,785,794,804,812,821,830,836,847,851,864,872,876,885,894,905,915,920,932,940,950,955,960,973,976,985,998,1006,1014,1026,1033,1041,1051,1057,1066,1071,1081,1090,1098,1110,1115,1128,1137,1141,1148,1157,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,32,41,48,59,60,73,81,91,101,106,111,124,133,144,147,160,164,177,318,325,329,335,345,356,362,374,383,389,397,410,417,426,436,441,458,601,613,621,629,638,646,657,664,670,683,694,697,705,712,728,734,738,752,761,763,779,781,789,801,813,821,828,839,844,852,862,869,880,883,892,905,913,919,925,940,943,957,962,976,981,985,994,1010,1017,1024,1032,1037,1049,1061,1066,1072,1083,1089,1099,1111,1116,1126,1132,1146,1151,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,28,35,49,52,61,73,84,91,97,105,113,121,130,143,151,158,169,176,198,320,331,337,350,357,366,371,384,392,401,405,419,423,436,440,458,607,616,624,633,638,649,655,663,672,679,687,699,705,718,728,735,745,746,756,766,772,783,792,798,810,821,825,839,843,850,862,868,879,885,891,902,910,920,931,934,949,955,962,973,978,993,1001,1002,1011,1021,1032,1037,1048,1057,1063,1074,1087,1094,1100,1110,1121,1125,1135,1143,1151,1157,1169,1174	1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,20,29,42,49,58,60,71,81,87,101,104,112,123,131,140,152,156,165,178,183,320,330,338,346,354,369,376,385,392,399,406,420,426,434,438,470,604,617,618,630,637,645,652,662,676,686,691,700,707,713,722,734,745,754,761,767,778,784,793,805,812,818,823,834,843,851,859,871,875,891,896,901,908,923,932,939,947,956,961,971,978,987,994,1004,1013,1024,1028,1043,1047,1054,1063,1071,1086,1093,1097,1109,1119,1124,1133,1143,1154,1161,1166	0,1,0,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,17,32,35,45,52,66,69,83,92,98,107,113,127,129,138,149,159,163,178,182,319,329,338,346,360,367,374,381,392,401,405,418,422,434,440,600,603,610,624,630,638,647,653,668,676,684,692,702,707,716,728,732,742,746,761,770,775,783,797,804,806,816,827,832,841,856,857,869,876,888,898,901,913,922,926,934,946,954,961,971,978,991,996,1010,1018,1026,1030,1044,1045,1060,1062,1075,1084,1091,1098,1112,1121,1126,1135,1147,1152,1159,1169,1175	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
3,16,24,31,39,50,52,65,73,84,90,98,107,118,125,128,143,147,154,164,173,182,322,331,338,349,358,366,376,385,388,396,406,414,427,432,439,466,609,615,620,627,638,648,659,666,673,681,693,695,705,712,727,735,743,749,756,764,772,780,795,799,812,820,825,834,841,849,857,869,878,885,894,899,910,925,926,940,945,953,964,975,984,988,993,1008,1013,1024,1032,1038,1047,1055,1063,1071,1087,1093,1104,1109,1115,1122,1138,1140,1151,1163,1171,1174	1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,9,22,31,35,42,54,66,70,82,85,101,108,117,119,130,144,152,153,167,172,183,318,330,335,350,352,367,370,385,392,396,407,414,426,430,439,451,606,614,621,629,641,645,653,664,673,679,692,697,709,716,728,730,740,753,760,766,776,788,793,799,814,820,825,837,848,850,857,866,879,886,897,901,910,919,929,936,946,958,966,968,980,991,1000,1004,1011,1023,1031,1042,1050,1061,1064,1074,1079,1093,1104,1110,1118,1122,1135,1146,1152,1162,1169	1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,22,28,37,43,58,59,68,77,88,96,105,114,127,136,143,152,160,164,174,195,323,334,336,350,355,363,375,386,387,398,404,415,424,429,438,598,604,614,620,627,642,651,658,668,672,680,688,700,708,717,721,735,743,751,758,768,777,788,792,799,809,816,831,839,845,854,857,866,880,887,892,905,916,917,929,935,947,956,965,972,978,991,993,1009,1017,1023,1035,1043,1048,1058,1067,1072,1082,1088,1102,1110,1121,1123,1131,1139,1151,1160,1167	1,0,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,9,21,33,38,43,55,61,72,83,86,100,109,112,125,130,137,150,158,168,176,192,321,335,338,344,360,365,370,381,392,396,410,413,427,433,440,598,605,617,620,632,639,643,657,662,675,680,686,700,707,717,724,729,742,746,759,767,774,787,793,797,810,822,825,838,844,852,862,868,876,886,893,907,909,921,932,934,947,953,965,969,983,989,998,1008,1010,1021,1031,1044,1045,1054,1063,1073,1085,1090,1102,1106,1116,1124,1136,1143,1153,1162,1169	1,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,24,29,39,45,56,66,70,82,90,101,109,112,119,135,137,150,161,168,175,183,326,334,335,350,353,362,377,381,390,401,407,418,426,434,442,599,606,611,620,632,643,648,660,662,675,682,693,700,708,712,724,736,743,751,759,770,771,787,790,805,808,818,826,838,846,856,858,867,874,886,898,906,916,923,927,936,946,951,961,973,979,987,1000,1004,1016,1025,1032,1038,1048,1055,1062,1071,1086,1091,1096,1110,1117,1127,1133,1144,1155,1159,1166	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,9,24,33,39,43,52,60,75,84,86,95,105,118,122,130,144,151,153,165,173,314,321,327,342,348,360,361,370,385,388,396,410,420,422,435,442,455,603,611,623,633,637,649,657,660,674,682,693,699,711,719,726,734,743,749,755,765,776,787,791,805,811,817,824,835,843,854,858,868,876,889,898,904,910,924,932,934,942,951,966,973,982,990,1000,1008,1019,1023,1034,1044,1045,1061,1062,1073,1079,1093,1097,1110,1118,1129,1136,1142,1151,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,30,36,47,51,61,75,84,90,97,107,117,122,128,137,148,156,163,171,316,320,332,343,349,360,362,373,384,387,402,406,417,427,434,443,447,609,613,625,634,638,647,654,665,675,683,690,695,706,719,725,735,744,748,762,766,774,783,790,802,808,816,829,836,844,852,863,871,878,883,894,902,908,920,926,941,945,953,961,970,985,986,996,1003,1018,1020,1035,1039,1045,1055,1064,1073,1085,1088,1100,1107,1117,1129,1137,1145,1149,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,20,26,39,46,53,65,70,77,88,97,103,118,121,131,137,147,156,167,172,179,319,333,339,351,360,361,378,386,388,400,405,414,425,435,438,598,604,616,618,630,636,646,657,668,677,682,687,698,705,714,722,731,742,752,760,770,771,781,792,803,808,821,831,835,841,850,864,871,880,885,894,902,910,922,928,939,944,953,962,969,981,989,1002,1005,1013,1026,1033,1036,1045,1059,1065,1073,1083,1093,1100,1106,1116,1129,1133,1145,1154,1162,1170,1175	0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,8,23,32,35,43,55,66,70,78,85,94,108,116,122,130,142,152,156,168,174,182,324,330,340,344,357,369,372,378,394,403,406,412,427,430,438,600,605,611,619,626,637,644,658,665,672,681,690,702,710,715,723,736,740,748,755,766,778,787,791,798,810,816,825,836,841,850,861,866,877,883,897,902,912,922,927,940,945,951,962,976,978,987,1000,1009,1015,1020,1031,1037,1047,1061,1067,1075,1086,1093,1099,1112,1117,1128,1133,1142,1149,1163,1173	0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,11,24,28,35,45,57,60,75,80,89,101,109,117,123,129,142,150,155,165,176,185,323,331,338,344,355,364,373,378,391,398,407,414,427,429,442,470,601,611,620,630,643,647,652,666,672,681,688,703,710,718,727,730,742,750,761,765,772,784,795,798,811,821,828,833,841,851,860,867,879,888,898,901,912,921,931,938,948,958,967,968,978,988,998,1009,1013,1027,1028,1041,1050,1054,1068,1073,1079,1088,1102,1104,1115,1129,1136,1146,1151,1156,1172,1178	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,23,33,34,45,52,62,76,77,93,95,103,117,125,130,144,147,157,166,177,315,318,329,335,344,356,367,369,379,394,395,403,417,424,429,442,452,603,616,622,627,638,651,657,664,672,686,687,695,703,720,721,733,738,753,761,769,773,785,790,797,807,820,826,837,844,849,863,868,880,886,892,902,916,919,928,938,946,951,962,976,979,987,1000,1006,1013,1024,1035,1044,1045,1059,1063,1073,1086,1094,1097,1106,1117,1126,1130,1141,1148,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,17,33,34,45,56,67,76,82,89,94,107,111,122,133,138,147,160,162,178,184,322,328,342,346,354,362,376,383,391,401,411,418,426,431,442,599,602,616,624,634,640,645,658,663,669,681,692,701,704,719,721,736,745,753,760,768,773,787,794,803,806,815,826,836,848,850,860,873,878,890,893,905,909,920,927,934,945,953,963,968,976,989,997,1010,1012,1019,1029,1044,1046,1057,1065,1079,1087,1095,1096,1107,1118,1127,1133,1147,1154,1162,1172	1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,14,24,27,36,43,58,63,76,81,90,100,107,118,125,129,137,146,161,165,178,318,326,333,339,348,354,368,377,382,393,396,412,419,425,435,446,447,606,615,625,633,637,649,657,667,674,677,690,695,705,716,728,732,738,748,757,765,776,784,796,801,812,816,830,833,842,854,863,867,880,884,891,904,910,925,928,942,945,954,968,975,982,991,1002,1006,1014,1025,1028,1037,1053,1061,1069,1071,1086,1093,1098,1110,1115,1128,1133,1143,1147,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,33,40,47,58,67,71,83,86,97,104,112,126,132,142,150,154,170,174,313,324,334,336,344,358,366,374,379,387,398,410,413,421,436,439,596,602,615,618,632,636,648,653,663,674,682,693,702,704,713,724,734,745,746,757,767,779,782,791,802,808,822,825,833,840,853,863,865,879,887,898,908,911,919,928,937,944,958,963,970,982,993,999,1006,1018,1025,1034,1037,1050,1057,1063,1076,1084,1094,1102,1106,1121,1122,1138,1144,1151,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,33,36,49,55,68,75,81,90,95,109,119,123,136,144,153,154,168,172,315,318,333,338,346,355,366,376,386,393,402,408,415,428,434,441,462,603,611,621,632,638,646,652,666,669,684,690,698,707,720,722,735,745,751,760,769,778,781,789,797,808,815,827,833,843,848,861,865,876,885,893,908,911,922,926,940,950,958,962,975,982,992,1002,1010,1018,1026,1032,1037,1046,1057,1064,1071,1086,1093,1102,1104,1114,1127,1134,1141,1154,1161,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,32,40,46,56,66,70,78,89,100,102,116,123,134,142,152,157,165,178,316,326,329,341,349,356,364,371,380,393,396,404,414,424,433,444,598,601,614,619,631,637,646,659,661,674,684,690,699,710,715,728,736,745,754,760,766,773,786,792,803,807,821,827,836,843,850,859,865,875,884,897,902,910,924,931,941,944,951,964,973,984,992,998,1004,1017,1022,1030,1042,1045,1059,1065,1076,1082,1092,1100,1112,1121,1129,1133,1143,1154,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,23,29,34,48,51,68,76,84,87,100,103,116,122,133,138,148,154,163,176,316,320,327,336,346,358,362,374,381,392,398,407,418,421,429,440,600,601,611,626,627,641,652,656,665,674,678,688,694,705,714,722,736,741,751,755,764,773,782,797,805,806,820,823,836,845,854,862,866,879,887,897,904,914,924,931,941,950,959,962,975,979,986,999,1010,1012,1020,1028,1043,1052,1056,1068,1073,1080,1090,1099,1105,1117,1126,1136,1141,1152,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,32,41,46,56,67,72,84,91,95,104,115,126,131,138,146,157,162,174,317,326,333,340,350,357,365,371,381,388,401,411,413,429,437,440,447,607,612,618,629,643,645,656,666,675,685,686,702,705,719,722,732,739,748,755,768,772,781,795,802,810,821,825,834,843,849,858,873,882,887,891,907,910,922,926,938,945,952,960,972,979,989,996,1007,1013,1024,1031,1042,1048,1059,1067,1076,1087,1091,1100,1107,1118,1128,1133,1140,1153,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,32,37,45,54,61,75,78,91,95,102,112,121,129,142,146,155,169,176,315,320,329,336,348,358,367,373,384,393,398,408,417,426,436,439,598,604,616,619,626,639,644,654,662,676,686,692,698,710,713,720,732,743,746,755,766,776,781,795,800,806,822,824,834,840,854,861,873,874,890,891,899,910,917,928,937,949,954,966,971,982,985,996,1010,1015,1027,1030,1038,1052,1056,1062,1074,1085,1089,1100,1105,1119,1122,1137,1140,1150,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,29,40,48,57,66,76,81,85,93,109,115,124,128,139,152,155,166,174,318,325,334,336,344,359,364,373,382,386,399,404,419,424,434,446,452,604,609,624,631,643,645,655,661,671,679,692,695,709,719,728,734,741,750,762,769,774,788,793,801,809,822,828,837,842,849,863,872,881,890,895,903,913,923,930,935,945,959,961,968,977,988,1001,1002,1017,1026,1035,1043,1048,1061,1067,1078,1083,1092,1101,1109,1119,1125,1131,1147,1150,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,17,26,40,49,55,62,71,84,87,101,106,111,123,132,139,147,156,169,171,188,325,330,343,348,353,368,377,382,394,395,409,419,428,436,443,462,605,612,624,631,641,647,653,661,676,685,688,697,705,720,723,729,739,752,755,769,776,781,795,804,808,815,830,838,841,849,858,872,878,890,891,906,913,917,925,941,944,956,961,971,978,992,998,1004,1013,1022,1028,1039,1053,1059,1064,1071,1081,1094,1097,1112,1120,1125,1136,1142,1155,1162,1166	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,13,19,29,37,48,57,66,73,81,91,101,105,111,121,130,138,145,158,163,175,314,320,327,338,347,356,363,374,384,390,399,410,419,429,430,438,448,601,614,619,634,635,646,659,667,674,681,687,698,704,716,722,736,738,750,757,763,773,781,795,804,806,819,825,831,845,853,864,872,875,889,893,905,910,917,931,940,949,952,961,975,977,990,996,1009,1017,1024,1031,1036,1049,1061,1067,1076,1087,1088,1102,1107,1114,1125,1130,1143,1152,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,29,35,45,52,62,71,79,93,97,110,118,124,135,141,150,159,162,173,313,325,326,342,345,356,362,375,382,389,398,409,419,425,433,441,470,604,612,624,632,642,644,658,666,676,683,689,698,707,716,725,737,742,746,756,766,776,786,794,804,809,818,827,834,848,850,863,866,881,890,898,904,916,922,925,939,944,951,965,975,977,990,999,1007,1016,1024,1028,1038,1046,1054,1065,1076,1081,1091,1099,1111,1113,1126,1135,1145,1150,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,31,38,43,53,65,74,78,90,94,103,111,122,129,143,147,161,166,178,313,324,331,336,349,356,367,376,382,388,400,409,416,428,435,445,599,604,616,618,628,643,645,655,667,677,684,688,701,710,714,725,730,737,751,760,769,772,783,793,798,809,818,827,833,846,852,858,872,878,885,893,902,909,924,932,935,948,958,963,976,978,987,995,1005,1012,1021,1028,1037,1048,1054,1067,1077,1083,1090,1101,1110,1119,1128,1137,1140,1150,1156,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,25,26,36,50,58,61,74,79,92,99,107,117,124,133,142,151,161,164,171,315,325,333,338,347,357,362,376,382,389,403,409,416,427,432,440,600,604,609,622,630,635,647,656,666,670,682,693,698,710,717,721,734,737,750,755,767,779,785,792,797,807,816,827,833,847,855,863,869,875,889,897,900,912,924,927,940,943,955,961,971,985,992,993,1005,1013,1024,1030,1038,1052,1054,1062,1078,1085,1089,1101,1113,1114,1127,1135,1145,1154,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,24,29,38,43,51,66,76,80,89,97,110,112,123,136,142,149,158,163,176,181,325,327,342,348,359,366,375,384,387,403,410,416,421,436,440,596,603,612,623,631,638,646,655,665,677,685,691,702,708,715,722,735,742,751,762,763,774,782,789,805,807,820,831,836,843,856,862,872,878,887,899,907,914,923,933,935,949,955,964,969,977,986,998,1010,1017,1027,1035,1041,1053,1059,1066,1071,1087,1089,1098,1108,1115,1125,1135,1146,1149,1163,1166,1174	1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,15,19,32,39,49,56,65,73,79,85,100,105,117,119,131,138,151,160,167,171,313,320,335,338,349,359,368,372,382,391,397,408,413,422,434,442,599,602,613,621,627,640,645,657,661,672,678,687,699,705,713,720,734,737,752,756,770,777,785,791,804,811,822,828,832,845,856,860,869,874,887,894,901,915,916,930,938,950,956,965,969,984,991,996,1010,1018,1026,1034,1042,1045,1058,1062,1073,1085,1095,1100,1111,1121,1129,1136,1142,1148,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,31,34,43,57,61,74,84,91,95,104,112,127,132,144,147,158,166,175,316,320,333,343,352,360,362,371,386,388,402,405,415,424,430,445,459,605,614,618,629,636,650,653,666,672,680,689,699,710,719,720,736,741,752,754,769,774,782,789,797,809,814,830,839,847,852,860,871,878,884,895,907,909,920,930,941,950,953,960,976,981,993,995,1007,1012,1025,1034,1038,1045,1056,1062,1077,1079,1094,1100,1106,1117,1127,1136,1145,1151,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,21,30,42,47,54,62,74,81,92,100,105,116,127,136,139,147,160,170,172,315,319,333,341,347,359,362,374,381,391,396,404,415,422,433,438,460,605,610,621,630,636,648,654,666,673,678,690,699,706,720,721,735,740,753,756,764,778,780,795,800,810,818,827,832,848,849,862,873,874,889,898,905,910,917,927,938,944,959,965,969,978,987,1000,1004,1013,1026,1029,1037,1046,1057,1066,1076,1085,1094,1096,1110,1117,1126,1133,1145,1154,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,31,41,43,54,60,73,82,90,99,104,116,121,135,139,151,162,163,176,316,324,331,340,349,353,361,374,378,387,399,412,416,427,430,440,457,603,614,622,631,637,649,656,664,670,679,688,696,707,713,722,736,738,749,755,765,773,785,793,798,812,818,830,832,840,852,858,873,881,884,898,903,914,919,930,935,942,957,964,971,982,992,996,1003,1019,1021,1028,1042,1051,1053,1066,1074,1082,1092,1100,1105,1121,1126,1135,1140,1151,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,33,37,50,53,62,72,79,92,99,110,115,121,134,136,150,157,165,177,317,323,335,340,347,358,363,377,383,392,401,404,413,423,430,438,600,604,614,620,631,642,650,659,661,676,682,688,702,709,716,722,731,744,748,762,770,777,782,796,797,811,820,823,833,842,854,861,874,880,888,895,905,911,925,931,937,945,954,960,974,980,985,995,1005,1016,1025,1036,1041,1050,1056,1063,1071,1082,1094,1101,1105,1115,1129,1133,1146,1150,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,33,34,50,56,64,71,80,92,102,106,116,125,128,139,153,160,167,174,313,322,334,337,344,353,365,377,383,392,395,410,416,426,437,439,451,600,611,622,630,636,646,652,665,673,685,692,703,705,715,720,730,744,750,762,764,778,787,794,805,806,818,829,832,845,853,857,869,879,883,895,902,916,921,927,941,947,958,965,975,983,990,998,1008,1013,1019,1030,1037,1048,1055,1068,1075,1087,1092,1104,1105,1117,1124,1134,1140,1148,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,28,39,50,54,60,74,83,90,101,104,111,119,136,137,148,155,163,177,315,324,333,339,349,355,365,372,384,393,396,410,416,426,434,440,454,602,616,624,629,639,650,660,664,672,678,693,699,707,714,723,737,739,748,758,768,772,787,790,802,813,822,827,839,847,849,862,867,874,884,891,905,915,920,930,940,947,952,964,973,978,991,1002,1007,1018,1022,1028,1040,1051,1060,1066,1075,1083,1091,1098,1109,1117,1127,1131,1145,1147,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,22,29,35,44,52,67,74,83,85,99,105,112,125,129,142,150,161,169,176,318,320,329,338,347,357,361,375,378,394,400,407,413,422,433,441,449,601,614,620,628,642,644,654,666,671,683,694,702,711,720,721,733,739,752,757,770,777,786,796,805,811,817,827,834,844,856,864,872,877,885,896,905,916,922,928,941,944,956,962,968,980,989,1000,1008,1011,1023,1028,1043,1050,1056,1065,1073,1085,1092,1098,1108,1120,1128,1138,1144,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,32,36,45,57,62,74,78,89,96,102,115,124,131,138,147,156,165,172,317,326,331,343,344,358,361,370,384,390,401,407,414,425,436,445,599,601,610,622,628,635,649,656,668,675,681,689,698,710,718,728,736,742,747,758,765,778,781,788,798,808,819,826,836,840,850,860,872,875,886,896,906,911,919,926,942,949,955,964,970,977,990,1001,1010,1012,1022,1028,1041,1051,1060,1069,1075,1079,1095,1098,1108,1120,1128,1133,1144,1155,1162,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,28,36,50,56,59,73,80,90,100,103,113,120,130,144,151,154,165,174,317,321,332,335,346,354,367,370,381,388,401,405,412,424,435,444,597,608,613,626,632,639,645,653,665,673,683,693,700,706,713,725,731,741,753,761,763,774,781,792,802,806,817,830,837,842,852,865,872,878,885,897,907,915,921,932,941,942,955,961,971,982,992,1001,1003,1013,1025,1031,1039,1048,1054,1066,1077,1081,1090,1104,1111,1114,1123,1138,1142,1150,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,33,34,50,59,68,69,77,90,99,110,115,120,133,143,150,154,162,172,315,325,332,343,345,360,361,372,383,388,397,410,417,424,436,445,596,602,609,618,632,643,651,655,660,675,683,687,700,708,712,726,732,740,752,757,767,772,784,790,803,807,819,829,838,843,856,859,868,882,889,894,905,913,921,931,942,944,957,967,971,983,989,994,1002,1018,1026,1031,1044,1052,1058,1066,1078,1080,1094,1101,1106,1114,1127,1137,1139,1150,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,30,37,49,55,66,74,85,88,97,110,114,126,132,143,147,154,163,172,316,325,333,338,348,355,368,375,380,390,400,410,420,425,430,444,600,604,615,625,632,639,647,655,661,674,680,692,699,710,716,723,730,741,753,760,765,776,785,791,803,811,821,830,836,846,851,859,873,876,884,893,902,915,923,931,939,943,959,967,975,983,992,1000,1007,1019,1024,1028,1043,1052,1061,1069,1076,1084,1095,1099,1108,1120,1123,1132,1144,1155,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,28,40,50,54,64,74,79,86,95,107,117,126,135,142,152,159,170,171,182,321,331,337,350,360,363,376,384,386,402,407,413,421,436,444,466,608,610,625,634,638,651,660,664,670,685,691,700,704,715,728,733,745,746,754,765,771,786,795,804,811,816,823,835,841,856,864,871,880,888,894,904,909,919,929,939,948,956,966,970,981,986,1000,1006,1019,1026,1035,1044,1051,1056,1065,1076,1080,1093,1103,1112,1121,1126,1134,1145,1151,1162,1168	1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
4,10,20,30,42,45,53,60,69,78,86,101,108,116,125,129,144,149,157,165,175,181,323,335,338,344,357,367,377,383,389,403,411,414,425,436,441,597,609,616,625,627,635,650,656,664,671,681,689,700,708,713,720,734,739,753,762,769,779,780,795,802,807,818,827,836,844,849,857,865,881,890,898,900,910,917,926,940,943,955,967,971,977,991,999,1010,1014,1022,1030,1042,1049,1061,1067,1072,1082,1093,1098,1110,1118,1123,1136,1147,1153,1164,1165,1175	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,18,31,40,47,51,62,75,77,91,98,102,115,124,132,136,146,158,168,170,182,325,333,338,345,352,363,369,384,387,401,408,419,425,436,446,599,601,615,625,633,643,648,653,668,669,683,686,697,708,715,722,729,738,754,758,765,773,783,792,803,805,817,826,834,846,848,859,871,874,890,893,907,915,916,929,935,943,956,964,970,981,987,1000,1006,1017,1023,1034,1039,1052,1055,1063,1077,1084,1095,1097,1110,1116,1128,1137,1143,1154,1157,1164,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,21,26,40,42,55,68,73,81,86,99,108,118,125,134,142,151,159,167,176,180,319,332,340,350,352,363,376,386,391,397,409,414,426,431,439,467,608,609,620,629,636,648,658,666,669,678,689,695,709,714,721,731,743,752,760,770,775,787,793,799,813,815,830,833,845,850,864,868,876,887,897,906,912,923,930,938,948,957,962,970,980,992,997,1007,1012,1020,1031,1042,1052,1055,1068,1077,1084,1094,1099,1110,1118,1123,1130,1139,1149,1162,1171,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1
3,9,23,26,34,47,56,66,74,84,92,100,106,116,120,135,145,149,158,162,172,183,326,329,336,351,355,365,373,381,390,400,412,416,426,430,439,456,607,614,618,630,641,651,652,661,671,679,689,700,710,717,724,731,737,749,760,763,772,782,795,805,813,817,830,831,841,851,864,868,876,884,898,902,911,924,930,941,944,952,964,975,981,990,994,1003,1018,1023,1036,1043,1046,1055,1062,1075,1085,1089,1096,1110,1116,1124,1133,1143,1153,1158,1169,1177	1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,25,29,39,42,56,60,73,82,92,93,103,114,125,136,137,148,161,166,177,182,319,334,340,346,355,366,378,386,390,400,410,415,421,432,438,470,605,612,618,632,640,645,658,662,675,684,690,701,706,715,726,729,738,753,762,771,775,783,796,800,814,818,823,837,846,854,859,868,877,890,894,906,912,921,929,936,950,955,961,971,979,992,998,1003,1013,1023,1034,1038,1046,1059,1066,1079,1081,1094,1099,1110,1121,1129,1137,1146,1152,1157,1164,1178	0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,14,21,29,40,43,58,60,71,83,89,99,104,114,124,133,142,152,161,163,178,182,322,329,343,348,355,369,372,386,393,397,406,419,424,431,444,457,604,617,626,631,640,649,652,667,676,678,694,699,708,718,723,736,738,751,756,768,779,780,789,800,806,818,829,836,843,850,859,871,875,883,894,903,912,922,933,938,950,955,966,972,982,987,995,1005,1016,1023,1035,1037,1051,1054,1066,1073,1086,1088,1104,1108,1121,1123,1132,1142,1147,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,31,40,42,57,62,69,77,89,99,102,114,125,134,143,152,158,162,172,186,325,330,341,346,356,363,372,385,391,397,409,412,421,436,440,596,602,610,618,629,636,643,655,663,676,681,692,698,708,714,721,733,737,750,759,770,773,782,790,797,808,819,826,836,843,851,864,867,881,887,893,900,910,921,932,935,943,951,964,976,979,989,1002,1008,1014,1022,1032,1037,1047,1053,1064,1075,1081,1088,1099,1108,1113,1123,1132,1142,1149,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,21,27,38,42,51,64,76,80,86,98,105,114,125,135,140,152,160,163,178,314,319,332,343,345,360,369,372,384,393,401,411,415,422,429,437,460,608,612,625,633,639,647,656,667,676,682,691,699,704,718,728,731,744,754,757,768,779,782,796,800,813,814,823,839,845,852,861,869,875,887,898,904,909,922,925,937,948,955,963,969,980,985,1002,1005,1014,1027,1032,1041,1049,1055,1070,1074,1087,1094,1103,1108,1113,1127,1138,1144,1152,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,28,37,45,56,65,72,81,93,94,106,115,126,128,137,148,154,166,176,186,320,333,338,344,356,365,376,382,387,395,405,416,422,429,445,597,601,610,623,629,637,651,660,665,677,680,689,699,707,717,725,729,737,752,757,768,774,783,790,800,812,819,826,837,848,854,862,868,874,888,899,903,912,918,933,937,950,955,963,972,977,992,998,1003,1012,1027,1034,1042,1053,1055,1064,1077,1082,1095,1100,1105,1116,1130,1133,1143,1153,1157,1164	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,24,27,39,46,58,62,75,82,90,97,106,113,123,129,139,152,155,167,173,179,323,332,343,349,352,366,371,380,393,397,403,413,426,436,444,456,605,613,625,630,636,643,653,664,669,682,692,696,707,716,727,730,745,750,761,763,772,782,789,805,807,821,831,838,846,850,862,868,874,884,896,905,911,921,930,938,948,951,962,976,981,990,996,1007,1010,1024,1028,1043,1050,1061,1070,1076,1086,1094,1101,1109,1118,1126,1138,1139,1155,1161,1167,1176	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,18,32,41,44,54,65,75,80,89,96,109,114,123,135,144,148,161,166,177,183,325,331,339,348,354,362,371,385,390,403,408,414,424,432,442,599,603,617,620,626,637,649,654,666,674,679,692,696,703,712,722,733,738,750,755,766,779,780,797,805,813,817,829,832,843,855,859,870,879,885,898,900,910,923,930,939,943,955,960,970,979,988,1001,1006,1013,1024,1028,1036,1049,1054,1066,1075,1083,1089,1102,1106,1120,1125,1132,1140,1147,1164,1166,1177	1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
7,9,18,31,35,47,52,68,75,83,85,96,110,114,126,129,139,150,161,164,174,188,325,328,340,350,360,363,371,379,392,400,406,417,429,432,440,463,602,611,624,631,637,649,655,664,670,678,688,702,705,718,720,729,744,754,760,766,772,783,796,804,805,818,824,839,840,856,859,867,878,883,899,905,911,917,930,937,947,955,959,974,985,993,998,1004,1010,1023,1033,1040,1046,1059,1064,1074,1083,1093,1103,1110,1114,1124,1131,1139,1153,1163,1167	0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,21,26,34,48,54,65,68,83,92,96,104,111,125,135,143,147,161,168,175,180,324,332,343,345,353,366,369,385,389,400,403,415,423,433,446,598,604,616,618,629,640,644,653,667,672,678,691,695,709,715,720,733,737,752,761,767,780,781,796,805,812,817,829,834,847,849,861,871,876,887,892,903,909,917,926,939,945,956,967,974,981,986,1000,1005,1013,1027,1034,1044,1047,1057,1063,1074,1082,1095,1099,1108,1117,1124,1130,1147,1152,1159,1169	1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,11,17,30,38,50,53,66,71,78,92,94,103,115,122,129,143,153,160,170,175,183,324,334,343,347,356,369,377,380,391,402,411,417,421,433,442,466,608,616,621,627,636,644,653,666,673,681,690,695,711,714,721,730,739,747,754,767,773,786,790,803,813,822,823,835,847,848,863,866,882,887,894,901,916,925,928,938,949,952,965,969,980,991,997,1008,1014,1026,1036,1039,1049,1055,1064,1076,1083,1088,1103,1109,1118,1123,1130,1139,1152,1159,1168,1176	0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,13,18,32,40,42,56,64,76,77,91,102,104,116,126,129,144,153,158,167,178,313,320,330,339,351,359,368,376,382,390,401,406,414,425,432,439,596,602,615,619,633,642,647,656,661,677,679,691,698,705,714,726,729,739,751,762,765,773,785,791,798,811,816,825,838,840,849,857,871,876,885,894,905,916,917,932,938,950,955,965,975,980,988,998,1006,1011,1022,1035,1040,1049,1055,1070,1074,1087,1092,1096,1109,1115,1125,1137,1142,1151,1163,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,17,25,40,47,53,65,76,78,92,98,110,113,121,135,144,145,157,165,176,317,320,330,339,347,358,365,377,385,391,400,410,413,424,436,438,599,602,615,625,633,641,649,656,666,677,678,687,697,704,719,726,730,745,753,756,770,779,784,790,797,813,817,830,836,843,854,858,873,874,882,898,902,910,922,933,941,950,959,964,970,981,986,995,1004,1017,1020,1028,1044,1049,1058,1067,1076,1085,1089,1103,1109,1119,1129,1130,1139,1155,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,23,29,41,48,52,64,71,82,87,100,110,112,126,131,143,148,155,165,179,315,320,327,339,348,355,367,374,380,390,401,403,416,428,434,439,600,608,614,625,631,643,651,653,666,674,680,692,694,710,712,722,735,740,749,759,769,779,785,791,800,811,817,825,834,844,856,864,867,875,890,891,905,913,923,928,937,943,952,963,971,979,986,997,1009,1011,1023,1034,1038,1052,1057,1062,1077,1079,1094,1104,1106,1121,1127,1136,1141,1152,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,31,42,45,57,59,74,83,86,98,108,113,123,134,143,148,157,169,174,315,321,332,337,351,360,363,370,385,394,396,404,415,420,433,443,596,605,615,619,626,642,651,656,660,673,680,692,698,710,715,727,736,744,749,762,763,775,780,792,799,808,818,823,835,841,856,865,874,881,888,894,900,915,923,932,939,946,953,962,975,985,988,998,1004,1013,1025,1028,1043,1045,1054,1068,1071,1086,1092,1096,1110,1121,1125,1134,1142,1152,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,33,39,49,55,65,75,78,90,100,106,117,120,131,141,147,155,167,178,314,321,328,338,347,355,362,377,379,392,401,410,419,424,437,445,596,601,613,624,628,636,651,653,666,671,684,694,698,706,713,723,733,743,746,755,768,775,781,793,797,808,819,828,833,840,856,861,866,877,888,893,902,910,918,927,942,948,952,966,973,978,990,995,1010,1019,1024,1030,1038,1052,1061,1067,1077,1087,1089,1104,1111,1116,1123,1131,1146,1155,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,31,34,44,55,63,72,84,88,100,103,112,125,128,143,148,157,166,170,316,323,331,336,350,354,363,371,382,393,402,410,414,425,430,440,467,602,617,618,630,640,645,656,664,671,679,692,702,709,719,722,731,742,747,760,764,774,786,789,804,808,820,823,839,843,849,859,866,876,889,893,908,913,920,933,934,944,951,962,976,981,988,995,1007,1015,1021,1031,1038,1046,1056,1065,1075,1083,1089,1101,1106,1121,1124,1135,1146,1151,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,22,26,39,48,55,63,71,83,89,97,107,118,120,133,141,152,154,169,172,315,319,332,339,349,359,369,376,383,392,396,407,415,421,435,446,598,604,612,621,629,637,650,659,664,674,681,689,699,707,713,722,731,738,747,754,771,775,786,791,804,806,818,829,837,840,853,859,868,878,890,898,904,910,920,930,935,944,956,964,973,979,985,997,1008,1015,1026,1032,1042,1047,1058,1070,1078,1082,1091,1103,1105,1118,1122,1135,1140,1152,1164,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,29,38,49,54,61,73,78,89,99,109,117,128,133,139,153,157,169,174,316,321,333,337,346,353,361,373,384,390,401,406,417,425,431,439,466,604,611,625,632,640,647,652,665,670,685,694,696,708,718,723,734,744,746,756,763,777,782,790,800,812,816,823,835,840,849,864,871,881,886,893,905,915,924,929,938,943,952,964,971,983,986,1001,1006,1014,1025,1029,1043,1047,1058,1063,1076,1080,1095,1097,1108,1115,1122,1133,1144,1151,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,28,36,44,51,61,71,78,88,95,106,114,126,133,143,152,160,164,174,179,325,332,337,345,359,366,372,385,393,397,411,412,424,432,441,457,607,611,622,631,639,647,655,662,676,683,689,696,710,713,726,736,741,749,756,768,779,783,796,802,811,818,827,839,840,850,861,866,881,884,897,908,912,921,929,934,950,958,962,968,976,988,999,1003,1015,1024,1035,1039,1053,1057,1068,1075,1080,1090,1099,1107,1116,1122,1132,1142,1153,1160,1171,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,16,24,27,39,43,57,67,71,84,89,94,109,112,123,130,142,152,157,164,179,318,323,329,339,349,354,362,374,386,394,401,409,416,426,436,439,471,603,615,622,631,638,643,654,668,670,685,686,697,704,718,723,733,742,749,761,770,776,784,791,803,807,815,825,838,845,851,864,872,878,889,896,901,908,924,932,941,946,957,960,968,977,988,995,1010,1013,1022,1035,1044,1052,1061,1067,1071,1086,1092,1102,1106,1113,1125,1137,1143,1150,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,33,37,46,56,63,70,81,91,98,110,118,122,128,139,147,156,163,172,315,325,331,342,343,358,362,369,382,387,399,408,414,428,430,441,468,608,612,624,630,635,645,652,664,676,680,689,701,704,718,723,730,742,753,754,763,778,782,790,803,809,821,825,835,845,853,864,867,882,890,899,900,914,918,926,941,942,954,963,968,984,991,994,1009,1010,1021,1033,1038,1048,1054,1067,1079,1087,1091,1096,1113,1116,1125,1133,1140,1147,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,30,36,45,58,60,72,83,88,97,105,117,120,129,136,152,155,165,177,316,325,332,342,352,359,367,375,381,392,403,411,414,424,434,443,596,604,610,618,633,639,645,652,668,673,686,690,702,710,717,727,729,745,750,760,763,775,781,789,805,813,817,829,836,840,850,863,866,876,889,897,902,912,920,929,934,945,953,962,973,983,991,996,1007,1010,1021,1029,1043,1049,1055,1066,1070,1081,1094,1104,1111,1114,1127,1130,1143,1147,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,28,38,50,58,61,73,77,92,100,110,112,121,133,141,152,155,164,176,315,319,332,337,349,354,367,377,385,390,397,411,418,428,429,444,598,604,610,625,630,637,647,659,667,671,683,688,698,705,720,726,729,739,752,759,764,780,785,792,800,808,822,825,836,843,853,863,867,878,888,899,904,913,924,928,936,943,955,962,968,978,991,998,1010,1012,1025,1030,1043,1051,1060,1065,1072,1080,1095,1098,1112,1114,1125,1130,1143,1153,1164,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,28,39,49,55,62,75,77,92,101,106,114,127,132,138,146,155,166,172,179,323,332,342,349,360,364,377,384,392,399,404,412,423,431,442,599,605,613,621,626,643,648,654,664,670,682,694,698,706,712,724,735,741,751,755,767,772,787,796,797,814,816,831,834,843,849,861,873,880,885,899,905,913,923,930,937,949,953,960,976,980,990,1000,1008,1018,1022,1031,1038,1045,1059,1066,1079,1082,1090,1098,1111,1115,1130,1138,1147,1151,1162,1166,1176	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,18,28,39,49,51,60,71,78,89,95,110,114,125,132,144,150,154,166,177,314,324,335,342,349,352,367,375,380,393,400,411,417,425,434,443,448,603,609,620,630,639,643,655,667,677,682,693,695,711,715,728,731,744,751,758,765,774,784,794,802,807,820,824,839,845,855,858,871,880,890,896,903,908,921,930,938,950,951,963,976,977,986,1001,1003,1011,1022,1031,1043,1047,1060,1062,1078,1084,1091,1098,1111,1119,1124,1133,1143,1155,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,25,26,37,48,58,68,76,77,93,97,108,117,124,129,138,151,159,168,173,316,325,328,338,352,359,361,370,386,391,401,408,418,425,435,439,597,604,615,618,627,637,648,660,665,677,678,687,702,706,719,724,735,744,751,760,765,778,785,792,802,812,820,824,836,840,850,860,871,878,889,898,900,914,924,927,934,945,957,962,969,984,986,997,1006,1011,1021,1034,1041,1045,1054,1069,1076,1081,1092,1098,1106,1117,1128,1136,1143,1151,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,32,36,49,55,64,73,83,92,100,108,116,120,130,139,149,154,166,177,315,323,333,342,345,359,361,376,381,387,401,409,419,424,434,444,599,603,611,624,633,641,650,654,661,671,685,693,696,708,714,721,732,741,746,755,767,774,785,792,803,813,820,830,834,842,856,861,866,874,883,893,903,913,921,926,939,944,952,963,974,984,992,995,1005,1018,1019,1033,1038,1049,1055,1068,1072,1084,1088,1104,1112,1115,1124,1131,1144,1148,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,28,36,43,58,65,68,78,88,99,105,116,122,133,141,153,158,167,175,316,326,327,337,349,357,361,374,385,394,395,408,413,428,433,442,458,604,614,618,630,638,650,656,669,672,679,690,695,710,712,722,735,740,749,755,765,774,786,790,804,811,821,829,839,841,851,861,873,877,887,896,903,913,923,928,940,949,955,962,976,979,988,996,1005,1012,1024,1033,1040,1049,1056,1065,1076,1082,1089,1099,1105,1120,1130,1134,1145,1147,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,28,38,48,59,66,68,79,89,99,107,112,127,132,142,148,158,164,178,315,323,330,339,351,354,363,377,380,393,399,404,420,422,432,442,462,601,610,626,629,642,649,658,665,669,678,687,702,703,719,725,735,738,752,762,767,778,783,790,800,813,816,823,832,842,853,862,872,876,885,897,904,910,921,930,938,943,951,965,969,980,990,1001,1005,1011,1023,1033,1037,1050,1054,1064,1076,1083,1095,1097,1110,1120,1124,1138,1143,1153,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,31,34,50,59,66,76,77,88,95,108,113,126,128,139,147,155,165,175,315,324,335,343,344,357,369,377,384,390,402,409,416,427,432,439,600,602,612,621,630,642,646,656,663,674,685,691,696,707,717,723,737,744,749,758,764,778,780,793,802,811,821,824,833,843,851,862,869,880,882,892,903,910,920,933,940,945,953,965,975,985,991,1000,1002,1015,1024,1032,1037,1045,1054,1062,1078,1085,1091,1104,1110,1116,1126,1134,1145,1148,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,30,34,48,57,60,70,77,86,100,107,118,120,131,141,148,154,163,175,314,319,331,343,352,357,365,372,385,390,399,407,419,429,434,441,600,609,616,624,630,642,650,657,662,670,680,689,695,704,719,724,732,738,747,760,764,772,788,789,800,813,821,828,835,848,851,863,865,878,889,897,903,911,921,931,940,945,957,962,975,984,989,998,1003,1012,1022,1034,1038,1051,1056,1067,1072,1084,1094,1100,1113,1115,1122,1131,1147,1149,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,20,32,34,48,58,67,75,81,90,96,106,119,125,136,140,149,158,169,176,316,324,333,336,347,357,366,372,384,393,402,409,412,424,431,445,599,606,610,623,627,640,646,654,662,670,680,693,698,707,716,726,733,738,752,761,770,774,785,794,804,813,818,827,833,844,851,861,871,877,884,898,903,911,918,928,937,943,957,967,969,978,993,995,1004,1013,1026,1027,1039,1048,1059,1065,1072,1081,1093,1104,1105,1117,1126,1132,1146,1153,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,29,34,49,59,67,74,78,93,96,106,112,122,130,136,145,158,170,172,315,324,333,339,347,354,366,374,382,391,396,405,419,422,430,439,460,607,616,621,634,641,644,655,661,669,681,694,699,711,712,720,735,743,750,759,765,772,781,792,797,811,817,830,835,845,856,859,866,880,882,892,902,916,917,929,935,949,955,962,974,979,991,1001,1009,1011,1026,1028,1040,1045,1054,1067,1079,1083,1089,1102,1108,1117,1123,1133,1140,1152,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,22,28,34,50,58,68,72,76,89,94,107,119,122,128,140,149,158,165,178,316,324,329,336,348,352,365,370,383,387,399,404,414,422,434,438,458,601,610,619,633,638,647,656,667,673,684,686,701,706,719,725,734,742,746,760,770,777,785,792,802,812,819,823,834,842,853,858,872,876,889,895,901,914,919,930,937,948,958,962,972,977,991,999,1010,1011,1027,1030,1042,1052,1061,1068,1077,1080,1089,1096,1111,1113,1125,1135,1140,1153,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,25,39,47,52,63,69,83,89,101,104,115,123,135,141,148,158,168,178,316,319,331,341,345,358,362,371,381,394,397,408,414,427,433,445,597,608,610,625,633,640,644,652,661,676,684,686,700,705,715,724,732,742,750,758,763,776,783,791,805,806,818,830,831,846,852,865,867,882,888,893,908,915,919,930,934,946,959,961,971,978,985,1001,1004,1017,1027,1028,1037,1047,1058,1066,1077,1080,1091,1102,1105,1118,1123,1136,1142,1147,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,32,34,42,57,67,68,77,85,99,110,116,121,132,141,146,159,167,178,314,323,327,340,345,357,361,377,383,387,395,404,416,422,436,443,449,603,613,625,630,636,647,660,668,670,681,688,695,703,712,721,729,742,748,760,766,774,784,790,798,812,819,828,831,846,851,864,873,881,887,897,904,916,922,929,940,944,953,961,968,979,989,993,1010,1017,1021,1032,1042,1048,1058,1067,1077,1083,1088,1098,1107,1117,1127,1136,1140,1152,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,32,38,47,55,61,72,80,88,98,103,116,126,129,136,151,156,169,176,188,326,331,337,350,356,363,374,380,391,402,404,419,426,436,445,597,606,615,619,631,636,648,658,664,671,685,692,702,708,715,727,731,742,746,760,770,775,787,793,799,809,819,825,833,846,849,861,868,882,883,897,903,913,922,930,936,947,957,961,975,983,993,997,1003,1018,1023,1033,1043,1048,1058,1067,1072,1085,1089,1097,1109,1119,1123,1131,1144,1153,1157,1165,1177	1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0
4,8,23,32,40,46,54,63,73,84,88,100,108,115,123,130,141,153,156,165,172,316,324,327,338,347,358,365,376,383,395,402,407,417,425,436,444,599,608,609,619,634,638,650,654,668,674,686,688,700,704,717,724,732,742,752,760,770,773,787,793,803,811,821,826,832,848,856,858,872,882,888,891,904,916,922,928,934,950,956,959,972,985,992,1000,1002,1019,1023,1030,1041,1046,1053,1063,1076,1081,1091,1097,1108,1113,1125,1130,1145,1147,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,15,22,33,34,51,56,67,74,81,91,101,106,115,126,133,140,146,155,168,171,180,326,335,340,344,354,362,376,379,387,397,407,418,421,432,441,597,605,612,619,631,643,647,653,663,676,683,688,702,704,716,727,734,745,747,760,768,779,784,797,801,811,818,831,839,841,849,860,869,878,885,896,901,913,925,933,934,945,957,960,976,984,992,1002,1009,1017,1023,1034,1043,1045,1056,1068,1076,1086,1092,1103,1109,1119,1122,1135,1144,1150,1163,1167,1173	0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
1,12,21,32,35,46,52,63,74,80,91,96,107,116,124,128,142,148,155,164,172,181,319,334,336,350,359,364,373,383,392,400,404,415,420,436,444,596,608,610,621,628,639,646,652,662,669,680,686,699,703,716,727,736,743,751,760,764,777,783,789,804,807,821,826,834,840,850,859,873,877,884,899,905,912,917,930,935,947,956,959,968,977,988,998,1006,1016,1019,1029,1041,1047,1056,1069,1076,1081,1094,1098,1106,1119,1124,1138,1145,1147,1159,1165	0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,11,18,33,39,46,59,61,73,81,92,94,110,113,124,132,143,146,160,167,175,187,322,334,336,344,358,369,373,378,391,397,412,413,426,435,438,598,605,616,624,630,639,650,653,663,676,678,688,700,703,716,728,731,744,752,760,769,774,788,789,803,809,822,823,833,845,854,863,871,878,884,894,904,915,925,931,936,950,958,961,975,976,992,1001,1009,1017,1024,1036,1042,1052,1056,1062,1071,1082,1093,1102,1110,1119,1128,1137,1141,1150,1163,1164	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,8,20,30,34,47,59,62,75,83,91,95,110,115,125,128,144,150,155,168,177,187,323,329,342,352,356,363,373,385,388,399,411,417,428,436,440,466,609,614,621,630,636,646,659,668,676,679,689,701,706,715,724,734,740,751,755,764,773,785,796,800,811,814,825,838,846,849,860,867,882,888,897,903,909,921,926,938,948,959,967,969,983,988,999,1007,1015,1020,1033,1036,1047,1055,1070,1073,1083,1088,1100,1110,1118,1126,1138,1143,1147,1159,1167	0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
2,8,25,31,37,46,53,66,73,76,85,98,104,116,127,134,141,145,155,169,174,186,324,331,341,347,360,369,372,385,394,397,409,414,421,429,441,599,602,612,624,629,638,649,656,668,677,678,687,696,708,713,724,735,741,751,763,770,776,782,793,802,805,815,828,837,840,855,863,869,874,890,893,905,913,920,930,941,943,955,960,968,978,991,997,1010,1015,1023,1032,1041,1048,1053,1066,1076,1085,1089,1102,1112,1120,1129,1137,1142,1155,1159,1166	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,32,42,44,53,62,72,82,87,96,104,117,125,136,138,151,155,164,170,183,325,332,340,351,356,365,373,381,391,400,410,416,422,429,446,596,605,617,621,626,636,646,653,661,672,685,694,697,706,717,726,732,740,750,755,763,774,784,792,800,812,817,827,831,848,853,862,870,878,891,892,906,914,923,930,940,943,957,962,973,982,988,1000,1006,1017,1025,1034,1043,1049,1060,1066,1072,1084,1090,1100,1112,1119,1123,1132,1140,1149,1160,1168,1178	0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
6,13,20,26,36,46,52,64,73,83,88,99,107,114,122,131,144,145,161,162,174,316,320,328,341,344,354,365,369,382,387,400,406,412,423,432,445,599,605,612,622,628,641,649,655,661,671,678,691,694,706,715,721,734,741,746,759,766,774,780,794,798,809,821,829,835,840,851,861,868,879,885,896,907,915,920,932,939,945,951,961,971,984,987,995,1007,1017,1020,1035,1036,1051,1060,1070,1074,1079,1095,1099,1111,1114,1127,1130,1142,1149,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,25,26,40,48,54,63,72,84,87,101,107,117,125,130,141,151,156,165,173,183,319,331,342,352,358,363,371,385,391,399,407,420,425,432,444,450,607,614,619,628,638,644,652,667,674,682,692,695,706,715,727,730,743,750,761,763,774,785,796,805,809,821,825,836,847,855,861,872,879,883,898,907,912,924,927,934,944,951,962,973,982,991,998,1010,1017,1026,1028,1039,1045,1054,1064,1075,1079,1090,1099,1105,1117,1124,1132,1141,1152,1157,1167,1176	0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,12,21,29,36,49,52,63,76,78,86,100,102,118,120,136,143,147,157,167,177,246,324,326,338,350,360,367,375,380,391,400,405,417,421,434,438,470,608,610,618,634,635,650,654,664,675,679,688,700,706,715,724,731,745,748,755,769,776,782,788,805,813,821,827,838,840,852,861,871,874,889,898,907,908,917,926,939,945,951,962,973,977,985,996,1007,1015,1022,1030,1039,1053,1057,1067,1074,1080,1090,1100,1107,1116,1124,1135,1145,1153,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,12,24,31,36,45,58,66,68,84,87,93,102,117,121,131,143,149,161,170,173,192,325,328,342,346,353,361,373,379,387,397,403,419,429,432,445,465,608,616,625,631,643,650,659,661,671,684,694,700,707,715,721,733,745,747,755,764,773,788,789,799,809,821,826,838,840,853,858,865,876,889,896,900,912,918,925,935,945,958,964,970,981,988,1000,1008,1013,1026,1030,1039,1051,1055,1069,1073,1086,1094,1104,1105,1117,1123,1132,1140,1152,1162,1165,1177	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,24,31,35,51,54,67,69,83,86,98,104,119,126,130,141,152,159,168,176,183,325,329,343,345,353,361,369,379,392,398,406,416,426,436,444,596,601,614,623,628,641,651,656,667,676,681,687,701,703,713,726,734,739,751,759,771,779,780,792,802,808,820,825,838,847,853,859,869,876,884,898,906,909,922,932,940,945,951,963,976,983,988,1000,1008,1015,1022,1032,1042,1049,1053,1069,1076,1079,1096,1101,1111,1113,1123,1137,1144,1149,1160,1166,1176	1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,25,27,41,48,56,62,69,79,88,98,103,112,127,133,139,153,161,167,174,190,323,335,338,351,359,366,377,381,394,397,411,418,428,436,438,597,603,611,624,632,638,643,656,660,674,678,693,700,709,717,725,735,742,747,759,766,774,784,796,797,807,815,827,834,840,849,864,872,881,885,898,906,914,917,931,941,944,954,965,968,978,991,997,1002,1015,1025,1034,1039,1047,1057,1063,1076,1083,1095,1097,1108,1119,1129,1136,1143,1150,1159,1171	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,18,33,34,50,57,66,76,78,92,97,103,117,123,131,139,153,160,165,173,180,325,329,336,344,358,365,373,382,389,396,410,417,423,436,441,598,604,617,618,631,638,648,655,666,669,680,690,696,706,715,724,733,745,749,755,768,773,784,791,803,812,822,827,833,848,856,857,869,874,885,899,900,916,922,932,935,944,954,966,976,978,985,998,1006,1017,1023,1032,1038,1049,1060,1067,1073,1083,1088,1104,1112,1117,1127,1130,1145,1154,1156,1167	1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,23,28,42,48,59,63,70,79,90,99,108,111,126,132,143,147,154,168,175,313,321,332,335,346,353,363,370,381,389,401,408,414,428,431,441,447,605,613,625,626,642,649,656,661,674,678,688,702,707,718,722,736,737,749,761,768,778,787,789,799,806,820,823,838,845,854,863,866,877,883,894,906,909,921,932,942,950,956,960,971,978,986,993,1007,1018,1025,1033,1037,1053,1061,1062,1073,1082,1093,1104,1108,1121,1126,1134,1140,1148,1157,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,17,31,34,43,57,65,69,82,86,101,107,116,122,130,142,148,157,166,170,317,318,330,336,349,353,363,374,380,393,397,406,413,428,432,442,453,609,616,620,633,638,648,659,665,674,684,687,700,705,712,724,736,740,752,756,766,774,788,795,805,806,814,831,833,845,853,861,867,879,891,896,907,914,919,926,938,942,951,967,973,979,988,1001,1006,1018,1019,1033,1038,1047,1057,1067,1075,1080,1089,1100,1113,1120,1125,1135,1140,1152,1157,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,29,34,42,55,60,74,77,85,101,108,112,126,135,142,152,161,167,175,315,323,333,340,349,358,367,374,384,388,399,408,412,423,436,439,466,602,610,621,629,643,652,659,663,671,683,692,699,705,714,724,734,744,752,756,765,779,780,789,799,806,822,830,832,847,851,864,871,877,883,896,903,912,922,929,936,947,958,964,975,977,987,1000,1004,1012,1023,1028,1042,1053,1061,1067,1071,1081,1095,1100,1113,1117,1122,1133,1145,1150,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,25,30,38,48,58,67,75,81,89,95,103,113,121,132,140,152,153,167,173,315,324,329,336,350,354,361,378,382,392,396,412,415,426,437,440,597,605,609,621,629,635,647,658,663,677,678,687,697,709,712,726,729,745,748,755,768,773,784,795,798,813,816,828,833,846,850,859,871,878,891,896,901,908,922,926,936,947,956,965,970,977,993,997,1010,1012,1025,1036,1039,1049,1054,1063,1075,1085,1093,1103,1111,1120,1128,1136,1141,1156,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,28,37,47,53,65,74,78,92,94,104,112,119,134,141,152,161,164,174,315,320,331,343,351,358,361,373,378,389,395,412,416,427,429,446,466,604,609,623,627,641,649,658,667,672,680,687,702,711,714,728,731,742,752,760,768,778,784,794,800,806,821,823,836,841,853,861,871,879,884,896,907,914,924,926,938,947,957,960,969,977,990,999,1002,1012,1025,1034,1040,1053,1054,1069,1077,1083,1095,1097,1107,1116,1124,1131,1147,1151,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,33,38,43,59,60,69,78,90,97,107,118,121,134,142,153,158,165,176,314,321,334,335,350,354,365,370,381,389,398,409,415,421,431,443,600,603,614,625,633,641,646,654,661,670,682,691,698,705,715,724,732,740,750,755,764,780,786,794,798,814,818,830,833,840,850,865,871,882,883,898,902,908,924,930,942,944,956,965,972,980,993,994,1007,1017,1024,1028,1044,1049,1058,1063,1077,1079,1094,1100,1109,1113,1126,1134,1143,1150,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,25,29,41,43,53,66,70,82,89,98,108,116,126,130,142,153,158,169,174,316,319,334,337,349,355,369,375,378,387,401,411,414,423,429,442,599,605,613,619,626,638,648,652,666,674,678,688,697,710,714,727,735,739,751,757,765,775,781,793,798,810,817,827,838,841,855,858,867,880,884,894,906,912,918,926,937,945,958,966,973,980,993,999,1003,1016,1020,1036,1039,1053,1061,1062,1078,1082,1092,1099,1107,1117,1123,1136,1145,1155,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,27,40,49,54,66,71,79,87,95,109,112,121,133,140,152,155,170,171,318,325,334,339,345,355,366,369,385,392,403,409,420,424,431,445,598,601,611,625,631,637,645,653,668,675,680,689,701,704,715,727,734,740,750,762,770,780,784,793,803,810,816,827,837,841,849,858,870,881,888,899,900,910,920,930,934,944,954,968,970,977,993,1000,1006,1018,1027,1032,1043,1045,1058,1062,1070,1082,1093,1097,1105,1117,1128,1134,1144,1153,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,20,27,38,45,59,66,74,82,90,98,110,116,122,128,143,149,157,169,172,189,321,329,340,350,353,366,376,379,388,397,406,415,422,434,445,598,607,617,618,633,642,646,655,668,675,685,692,697,710,717,720,730,745,752,756,769,773,787,793,801,810,819,829,832,842,850,857,873,878,889,898,901,912,922,930,937,943,952,964,969,979,987,997,1005,1019,1027,1032,1039,1046,1055,1068,1074,1084,1089,1099,1106,1121,1124,1137,1145,1155,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,24,28,41,49,53,60,74,78,92,101,104,117,124,130,140,146,160,167,172,315,319,328,342,351,356,367,373,384,394,397,410,415,428,437,445,597,603,615,618,634,642,645,654,664,671,679,690,694,707,718,721,730,745,753,757,768,776,784,792,801,806,821,823,837,843,856,862,871,881,889,897,907,909,917,928,941,946,953,965,970,982,990,997,1003,1012,1025,1034,1044,1048,1054,1070,1074,1084,1092,1102,1106,1114,1123,1135,1141,1152,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,23,26,39,43,56,62,74,80,93,96,110,116,127,132,141,153,155,168,178,318,324,331,337,351,357,364,371,383,392,398,412,414,425,437,441,456,606,613,619,628,643,649,657,660,672,682,690,700,706,714,727,733,743,749,759,769,777,785,792,798,814,815,823,837,840,853,862,865,879,886,893,900,911,921,931,939,948,958,963,969,979,992,996,1004,1016,1019,1031,1043,1047,1061,1068,1072,1080,1092,1101,1111,1114,1123,1132,1143,1152,1160,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,30,36,48,53,60,73,80,86,99,106,117,121,133,144,151,157,164,173,314,326,333,336,348,354,367,369,386,391,397,409,420,426,433,445,599,606,612,624,632,636,651,655,662,676,678,692,696,710,713,728,733,743,752,755,763,774,781,789,800,812,817,824,832,845,853,864,873,880,889,893,902,910,920,931,941,944,951,961,972,984,989,999,1010,1015,1024,1031,1042,1045,1057,1062,1076,1080,1091,1102,1108,1116,1124,1130,1145,1148,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,25,32,41,46,55,60,69,83,91,96,108,111,124,133,144,148,158,170,176,313,323,329,338,350,358,364,378,379,391,403,404,415,427,434,446,460,605,616,621,634,636,649,659,667,671,678,693,700,710,716,724,735,744,751,756,771,774,783,789,798,811,820,827,835,840,851,859,868,876,886,894,903,916,918,930,936,944,958,962,969,983,992,995,1006,1013,1020,1036,1039,1050,1053,1065,1072,1079,1091,1103,1106,1116,1125,1135,1147,1148,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,19,26,36,43,59,66,71,84,88,101,109,111,123,129,140,152,161,164,174,184,318,327,338,344,358,367,372,378,388,402,406,413,425,432,439,599,600,616,625,629,640,648,656,664,675,683,692,700,706,720,727,734,740,750,759,770,777,782,793,800,811,819,828,831,841,850,863,873,877,884,893,900,912,924,928,939,943,955,966,968,984,987,994,1007,1014,1025,1036,1037,1046,1057,1069,1076,1082,1091,1102,1109,1116,1125,1133,1143,1147,1160,1169,1177	1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,20,25,39,47,52,65,72,78,92,95,110,112,126,135,137,149,160,163,173,313,320,327,336,350,355,363,370,379,394,395,406,414,424,430,443,596,601,611,624,635,636,645,660,665,673,677,694,700,708,719,722,736,743,752,762,765,771,785,795,803,806,819,827,833,844,854,858,874,875,886,893,904,915,919,933,938,950,955,966,968,977,993,995,1007,1011,1026,1034,1036,1047,1054,1065,1073,1080,1091,1096,1108,1116,1129,1132,1146,1153,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,22,30,42,50,53,66,73,78,89,97,108,113,125,128,138,150,155,164,174,314,323,330,336,344,357,368,375,385,390,396,409,420,429,432,444,448,606,613,623,629,636,645,656,669,670,681,690,702,703,716,726,733,745,746,760,770,779,785,795,805,807,815,823,839,847,849,862,867,877,885,896,906,910,921,931,937,942,954,963,974,982,987,994,1006,1014,1024,1033,1040,1046,1060,1063,1070,1083,1088,1102,1106,1116,1123,1136,1140,1154,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,25,42,47,55,60,73,78,88,100,107,113,127,132,139,145,154,165,178,314,326,328,336,351,356,364,375,383,391,395,408,417,427,431,446,451,606,609,619,627,635,647,653,660,672,681,694,701,709,718,721,733,741,747,762,769,773,788,795,799,814,815,824,835,848,852,864,867,882,884,894,901,915,925,928,940,946,956,965,975,983,990,1001,1003,1018,1021,1032,1044,1049,1058,1065,1076,1080,1094,1096,1108,1120,1123,1135,1139,1148,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,22,34,38,45,57,66,74,78,89,97,106,116,123,128,144,147,159,166,178,316,320,334,343,350,353,364,371,381,387,403,411,413,429,436,445,596,604,612,619,633,638,644,652,662,671,679,691,700,710,719,728,732,745,753,754,768,774,781,789,803,813,822,827,832,845,852,861,867,879,885,895,901,908,919,926,941,946,958,962,972,977,991,1002,1005,1013,1023,1033,1043,1050,1060,1067,1078,1082,1089,1104,1110,1121,1128,1134,1139,1149,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,31,41,48,56,63,75,80,93,97,106,119,122,133,137,149,157,168,177,313,319,333,337,344,352,368,373,384,389,398,406,414,422,429,441,447,608,609,625,630,636,651,653,666,670,683,688,702,704,712,722,735,743,748,761,771,776,788,791,802,811,814,824,833,848,851,862,873,877,888,894,906,912,918,929,935,948,955,966,968,984,989,1001,1010,1014,1027,1029,1044,1052,1060,1069,1074,1086,1088,1097,1111,1117,1128,1134,1142,1154,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,17,32,39,50,58,63,70,85,86,99,107,118,128,136,138,153,158,169,177,316,323,334,338,344,358,365,370,382,390,396,405,414,422,436,438,453,606,613,620,628,641,649,658,663,676,685,691,697,708,719,728,733,743,747,759,763,775,786,789,800,810,816,823,833,847,856,860,873,878,883,891,906,915,922,926,937,949,954,962,969,977,993,998,1009,1012,1022,1028,1037,1049,1053,1064,1072,1080,1093,1100,1105,1115,1127,1132,1143,1155,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,18,29,36,46,58,61,75,83,92,94,110,114,120,134,142,146,159,166,174,317,321,327,336,348,355,368,376,378,387,398,407,419,421,433,439,597,607,610,623,632,636,644,653,663,671,678,691,700,709,715,725,737,744,749,761,769,778,788,790,803,809,821,824,833,841,855,860,870,876,883,896,904,913,920,928,934,947,954,963,975,979,992,1000,1003,1013,1023,1029,1042,1052,1054,1062,1073,1084,1089,1102,1106,1119,1121,1133,1143,1154,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,22,27,40,48,57,66,69,83,93,100,106,116,123,133,138,152,159,162,174,314,322,332,337,351,360,366,376,383,390,403,405,416,428,433,439,596,602,614,621,632,642,645,652,666,676,683,689,703,705,718,725,729,740,746,758,767,779,780,791,801,814,820,828,835,841,853,859,869,879,885,896,902,910,921,927,936,949,955,967,970,980,988,998,1006,1013,1021,1028,1040,1046,1056,1068,1074,1084,1094,1100,1110,1116,1125,1131,1142,1152,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,27,37,50,51,62,76,79,88,98,102,112,125,131,143,152,154,170,173,315,321,330,342,346,359,364,373,379,390,397,405,420,423,437,443,453,608,616,621,627,641,648,654,664,669,681,693,702,710,713,727,735,740,747,755,764,776,786,790,801,805,818,830,838,840,850,861,870,880,883,892,900,916,919,932,934,947,955,960,975,979,985,999,1006,1017,1027,1029,1044,1049,1059,1063,1075,1085,1094,1104,1107,1120,1123,1135,1142,1148,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,18,28,41,44,53,65,73,83,91,101,108,114,127,135,136,153,158,164,171,316,322,330,343,344,358,368,375,379,386,399,408,416,428,429,440,600,604,614,622,630,641,645,652,661,676,684,693,698,708,712,725,734,739,749,755,763,779,784,794,803,807,820,831,839,841,856,865,870,882,885,892,907,913,919,932,935,944,957,963,973,978,986,995,1008,1011,1023,1030,1042,1046,1056,1063,1077,1087,1088,1096,1110,1117,1129,1131,1142,1153,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,27,40,43,51,65,76,79,93,94,104,113,123,135,143,149,156,162,172,315,326,335,337,345,354,368,375,381,390,396,406,417,424,435,440,600,607,613,620,633,636,648,657,665,676,682,694,698,706,715,726,729,744,753,760,769,773,787,790,801,813,817,829,832,847,856,864,870,874,890,893,906,915,921,930,936,945,956,965,971,983,988,998,1002,1010,1026,1029,1039,1051,1057,1063,1075,1081,1093,1097,1104,1113,1122,1132,1143,1152,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,26,40,47,53,62,68,80,93,99,109,113,122,132,141,149,161,169,171,315,322,331,343,348,354,365,375,378,392,398,408,413,422,435,439,448,605,610,625,629,635,645,655,663,676,679,693,702,708,716,724,730,744,747,754,770,775,788,795,799,812,818,829,833,846,852,857,872,878,889,898,904,913,922,928,941,946,955,962,976,979,991,1002,1010,1012,1026,1031,1041,1049,1054,1065,1072,1085,1092,1102,1112,1116,1126,1136,1143,1151,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,28,40,48,56,68,73,81,88,99,107,113,120,129,137,147,155,164,179,181,320,328,336,344,355,362,373,379,391,398,410,417,426,433,441,454,607,617,622,627,642,649,655,665,676,681,693,699,709,720,724,735,742,749,762,771,775,787,792,798,809,817,829,833,842,852,857,871,874,882,893,904,915,924,927,937,948,958,967,972,978,986,995,1008,1019,1020,1030,1044,1049,1060,1064,1072,1087,1092,1099,1109,1116,1122,1133,1140,1151,1163,1165,1175	1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,19,32,40,49,54,65,74,79,87,98,109,112,127,128,136,147,162,170,171,180,325,332,342,351,357,366,376,385,393,396,406,418,428,431,443,462,608,613,619,632,635,645,652,665,675,681,691,697,704,713,721,731,737,753,762,765,772,784,794,800,814,822,826,838,843,853,863,873,876,886,896,900,910,919,933,937,948,951,962,973,984,987,1001,1007,1018,1022,1034,1039,1050,1060,1070,1076,1079,1092,1102,1111,1114,1123,1131,1141,1151,1156,1170,1178	1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,18,31,38,47,59,62,71,81,85,101,108,114,126,132,137,146,153,164,175,179,321,327,338,351,359,363,371,381,391,395,404,412,427,431,445,460,600,615,625,628,639,651,657,664,670,683,688,700,703,714,724,734,740,750,759,764,773,784,797,804,808,816,828,832,842,855,857,872,879,887,898,905,914,917,930,942,946,951,967,973,980,987,999,1007,1011,1027,1035,1036,1045,1055,1066,1078,1079,1093,1096,1109,1120,1129,1138,1146,1151,1163,1168,1174	1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,17,33,41,44,56,62,76,80,88,96,103,113,127,135,136,151,155,169,175,185,319,327,339,344,358,361,375,382,394,400,407,416,425,436,444,451,601,617,621,631,635,651,656,666,669,685,689,699,710,717,725,731,741,749,762,767,778,787,789,798,812,818,829,834,844,849,861,865,879,887,896,900,914,918,925,940,950,951,965,972,983,991,1001,1003,1018,1019,1033,1041,1051,1054,1064,1072,1081,1093,1102,1107,1118,1127,1136,1144,1148,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,21,27,42,49,52,65,72,77,91,96,103,116,120,133,137,152,154,168,174,188,323,331,337,344,357,365,371,381,390,397,406,413,421,434,438,469,604,609,618,634,638,650,653,661,677,681,690,702,703,715,725,729,739,749,762,769,773,782,793,801,810,815,831,839,844,850,857,871,879,888,894,907,909,921,929,935,947,954,963,974,978,991,996,1006,1016,1020,1031,1039,1053,1058,1062,1073,1082,1094,1103,1107,1116,1129,1134,1140,1149,1159,1168,1176	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,12,19,33,40,45,57,62,70,84,88,99,110,113,121,133,140,147,158,165,172,186,323,332,340,345,352,363,373,378,394,401,409,416,421,432,444,461,602,613,619,627,637,649,658,661,671,684,689,698,704,716,723,735,740,754,759,764,778,780,792,801,808,814,829,839,841,853,864,870,882,883,893,900,912,922,932,939,945,954,959,970,979,990,998,1008,1013,1025,1031,1042,1047,1060,1067,1073,1086,1093,1102,1108,1116,1122,1135,1145,1150,1161,1169,1174	0,0,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,16,20,29,36,46,58,61,73,80,91,102,103,114,119,132,141,149,157,169,176,186,318,333,340,350,354,361,369,381,393,399,406,414,424,430,439,600,604,611,626,629,639,645,656,667,677,683,686,702,705,718,725,733,745,753,755,770,779,787,789,800,808,816,825,838,848,853,858,867,881,886,891,899,913,920,930,940,947,954,966,976,984,987,995,1006,1018,1023,1033,1040,1046,1055,1064,1077,1085,1094,1098,1104,1117,1124,1134,1143,1152,1162,1169,1177	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,23,30,37,46,52,63,75,81,90,96,104,113,125,135,138,146,155,163,175,181,322,328,336,344,356,365,369,383,388,401,404,414,429,436,447,597,608,617,624,626,642,651,659,661,672,680,693,698,710,713,723,729,741,748,761,766,776,787,795,797,808,821,830,832,847,853,858,866,880,891,895,904,910,920,929,934,942,956,967,976,981,989,994,1004,1019,1021,1032,1039,1052,1058,1067,1075,1083,1091,1103,1111,1119,1128,1132,1143,1151,1158,1165,1173	0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,23,25,38,43,55,64,75,79,89,94,103,111,127,134,138,151,158,162,172,316,320,332,338,350,353,364,371,383,391,398,411,419,420,431,441,597,601,609,622,632,636,646,658,668,674,685,687,699,709,717,721,734,742,747,762,763,778,780,795,799,809,817,829,838,842,853,863,866,880,882,895,903,915,924,928,938,950,959,965,969,980,987,994,1010,1013,1023,1030,1044,1046,1060,1064,1075,1084,1095,1097,1111,1119,1126,1131,1142,1150,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,20,30,38,44,51,61,71,83,86,97,104,113,124,130,136,145,159,170,171,215,324,331,343,347,357,364,373,383,388,400,405,420,425,429,442,456,608,612,622,630,641,651,656,668,673,679,689,696,710,713,721,732,745,749,758,766,779,786,797,800,813,816,825,832,840,850,861,874,882,888,891,901,912,923,930,937,947,954,960,968,983,988,994,1003,1018,1019,1035,1040,1049,1053,1062,1075,1086,1094,1098,1107,1119,1129,1133,1144,1151,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,15,25,33,38,48,58,63,74,82,89,95,110,111,124,129,142,146,159,168,172,180,318,334,336,350,359,367,372,382,391,399,406,418,427,431,439,600,604,617,621,628,635,647,653,666,670,686,691,697,706,718,720,730,739,753,761,769,773,782,793,798,806,822,823,833,842,851,857,871,874,888,897,905,914,918,929,938,943,955,961,973,984,987,1002,1006,1014,1024,1031,1044,1047,1061,1062,1070,1079,1087,1100,1106,1119,1129,1136,1140,1152,1156,1171,1176	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,19,30,41,47,52,66,73,79,93,96,109,111,120,133,137,146,155,166,178,190,320,334,335,347,358,368,375,385,390,400,408,417,427,436,444,597,603,615,623,630,641,650,653,668,676,686,689,697,709,715,727,730,740,749,759,771,778,784,791,805,812,819,824,836,841,854,862,871,876,884,891,906,911,919,933,939,947,955,965,974,981,990,997,1005,1019,1022,1028,1040,1053,1056,1066,1074,1080,1091,1104,1111,1119,1123,1137,1139,1152,1158,1166,1175	0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,24,34,39,45,55,63,68,78,85,100,107,118,126,128,143,148,155,170,176,190,325,327,341,347,354,363,371,383,388,400,405,417,426,430,445,599,604,614,624,633,640,647,654,668,676,684,693,698,709,713,727,735,741,753,756,767,774,784,793,803,807,819,831,838,842,851,860,871,876,886,892,904,909,922,933,936,943,957,966,975,978,987,996,1004,1019,1024,1028,1036,1053,1056,1070,1077,1081,1094,1099,1104,1113,1122,1138,1147,1152,1159,1169	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,12,18,32,41,50,57,66,69,81,85,94,109,111,128,131,138,145,159,164,172,188,325,329,341,350,357,364,371,380,394,397,403,416,423,433,441,454,604,616,621,633,641,650,653,664,669,683,688,699,703,713,722,733,740,754,759,766,779,785,792,803,812,816,829,833,842,855,861,873,880,887,893,900,915,923,928,934,950,954,959,972,977,986,994,1009,1018,1021,1029,1042,1048,1056,1064,1072,1085,1092,1099,1112,1118,1122,1131,1139,1152,1163,1170,1174	0,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,24,28,38,43,56,65,70,81,92,97,108,119,123,129,141,150,159,165,177,180,324,332,337,346,353,362,369,384,392,400,404,414,422,431,444,457,603,616,622,630,635,644,660,668,673,680,693,701,710,712,726,733,744,748,754,769,772,780,792,800,807,814,824,832,841,850,859,870,876,890,899,903,916,920,929,941,950,952,960,974,981,991,995,1005,1017,1025,1032,1044,1046,1054,1066,1077,1080,1094,1102,1111,1113,1128,1132,1139,1149,1161,1168	0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,19,34,39,42,56,63,69,81,93,97,103,117,121,133,137,149,160,167,173,317,318,326,342,343,358,367,370,382,393,399,409,418,425,433,445,467,609,612,624,629,641,645,653,662,669,683,692,701,710,713,722,734,739,751,756,771,777,784,791,802,809,815,825,834,841,856,864,868,881,889,896,906,913,917,932,939,942,951,965,972,983,990,994,1005,1012,1026,1035,1036,1049,1060,1069,1075,1080,1094,1098,1105,1114,1125,1137,1141,1149,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,30,36,50,57,60,70,82,88,94,108,112,126,131,141,152,160,167,174,315,324,331,342,350,356,361,372,386,387,398,404,417,429,435,445,599,604,615,618,634,635,649,656,667,671,679,687,694,710,715,723,735,739,748,761,767,771,788,790,805,806,822,823,838,842,856,864,870,881,887,896,905,916,917,930,937,947,952,962,969,977,988,995,1009,1012,1025,1034,1037,1052,1057,1062,1078,1084,1087,1102,1105,1119,1127,1136,1145,1151,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,27,35,49,55,67,70,82,91,99,106,118,121,132,138,151,158,163,174,317,319,334,340,346,357,364,375,381,388,402,407,412,420,431,443,597,608,611,626,629,642,648,659,666,672,681,687,702,709,712,720,732,737,747,759,764,777,782,791,802,810,815,824,836,845,850,864,868,876,886,897,906,916,925,932,935,947,955,961,971,983,993,994,1009,1015,1024,1028,1041,1045,1057,1066,1071,1085,1091,1099,1109,1117,1124,1131,1139,1153,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,28,40,48,59,66,72,85,87,96,104,112,122,135,142,145,158,163,176,315,325,335,336,348,359,369,374,383,390,402,409,417,422,435,442,449,607,617,621,627,641,649,655,662,670,679,688,702,703,719,723,734,738,752,760,764,776,786,792,799,809,822,831,837,841,853,861,872,874,884,897,904,914,925,928,938,944,951,963,976,983,988,997,1005,1017,1020,1032,1040,1048,1060,1062,1073,1085,1089,1100,1105,1120,1123,1131,1145,1154,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,29,39,45,56,66,74,79,93,97,109,115,124,131,141,146,159,166,171,316,319,333,336,350,360,364,374,382,389,402,406,416,420,432,438,596,607,614,623,629,635,645,654,665,677,679,693,695,710,718,724,735,738,749,759,770,778,783,794,804,812,822,824,835,845,850,863,872,874,890,896,903,913,923,926,935,947,954,963,968,978,992,998,1004,1019,1021,1028,1036,1048,1054,1064,1074,1086,1089,1101,1111,1121,1124,1135,1146,1155,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,29,35,46,54,66,71,84,87,96,106,112,120,131,144,152,156,162,173,314,319,328,342,345,354,363,375,382,392,396,409,420,427,431,444,596,604,617,624,633,638,645,658,663,671,686,688,695,709,719,728,734,739,746,756,770,771,785,794,800,808,816,828,832,840,853,865,869,876,886,894,905,912,921,928,934,944,958,962,968,978,987,1001,1004,1014,1023,1034,1036,1053,1060,1067,1070,1083,1088,1099,1106,1119,1126,1134,1145,1155,1160,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,19,28,37,50,59,61,76,81,85,97,105,115,124,133,143,153,162,165,173,314,319,330,337,344,354,368,371,383,388,403,405,413,421,431,440,463,606,610,623,628,640,651,659,665,673,685,691,701,705,718,726,731,745,750,761,765,776,780,793,798,813,822,826,833,844,852,864,867,878,882,896,904,911,922,926,934,946,959,962,968,979,991,1001,1009,1012,1023,1035,1044,1046,1056,1063,1075,1087,1093,1097,1109,1119,1127,1133,1145,1148,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,31,39,44,52,62,73,82,89,96,109,117,126,128,138,151,159,166,171,313,319,327,336,350,355,364,374,382,391,398,407,415,425,433,439,460,608,617,624,632,642,648,653,666,673,678,692,699,711,712,721,729,739,751,755,766,778,781,796,800,806,821,831,836,848,849,864,871,874,888,893,901,915,923,933,936,945,956,961,971,984,990,997,1002,1012,1024,1036,1039,1046,1061,1070,1071,1082,1094,1097,1112,1113,1126,1136,1145,1153,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,26,42,45,56,64,75,81,85,96,110,113,121,128,138,151,157,169,177,180,326,331,340,345,354,363,378,381,391,403,410,416,429,434,439,450,603,613,623,631,642,644,657,663,671,685,690,696,703,716,721,731,741,750,755,764,773,780,795,799,812,815,824,836,847,849,857,873,876,885,896,900,916,917,931,941,942,953,960,973,978,985,1001,1003,1014,1019,1032,1037,1051,1055,1070,1072,1083,1093,1100,1107,1121,1123,1132,1139,1151,1160,1170	1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,17,31,34,50,55,66,69,83,90,95,107,118,126,131,143,150,159,166,175,317,319,327,337,347,355,366,370,384,388,396,405,417,426,432,442,463,602,609,620,633,642,644,655,660,677,686,689,695,711,719,724,732,745,751,756,766,774,780,794,799,813,820,829,838,847,854,860,866,874,888,896,904,916,918,927,939,942,959,964,971,978,988,994,1009,1011,1024,1036,1038,1047,1060,1064,1076,1079,1094,1098,1112,1113,1123,1138,1140,1155,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,25,26,40,46,56,63,72,83,92,100,105,117,123,129,137,153,156,169,175,316,320,333,343,348,354,368,370,385,390,401,410,418,423,432,446,600,605,610,624,634,638,647,653,663,671,685,690,700,707,711,723,734,740,754,755,770,771,780,796,799,811,815,826,834,840,851,862,870,882,887,896,908,910,921,928,934,946,954,961,968,978,985,997,1008,1017,1022,1035,1038,1050,1055,1069,1072,1083,1093,1099,1105,1117,1125,1135,1138,1153,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,32,38,44,54,63,73,78,88,94,102,118,121,129,137,150,154,166,171,318,322,332,339,346,356,368,375,380,394,395,404,418,427,429,445,448,601,612,623,633,637,651,656,665,669,684,686,702,709,716,721,731,742,752,755,763,776,786,790,801,808,820,825,836,843,856,857,870,881,882,894,907,913,917,930,935,949,955,965,971,984,989,997,1002,1017,1027,1035,1037,1046,1061,1063,1076,1084,1094,1099,1108,1113,1127,1136,1142,1147,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,25,28,40,50,55,67,68,82,89,96,109,111,121,129,141,146,156,163,173,313,325,332,335,348,356,362,374,380,391,403,404,417,423,435,441,600,606,613,619,632,643,651,658,662,669,683,692,698,710,712,728,731,741,753,757,763,777,785,793,798,812,817,824,838,843,854,864,869,882,888,892,902,913,919,929,942,945,951,963,968,984,988,1001,1008,1017,1019,1035,1043,1048,1058,1069,1071,1084,1093,1101,1106,1119,1127,1136,1142,1154,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,21,26,35,49,53,64,73,84,91,100,105,117,125,133,139,153,158,169,174,187,324,328,337,350,357,361,373,383,387,400,411,419,421,434,440,463,604,610,625,629,642,643,659,664,669,683,691,703,705,712,723,736,739,746,762,765,777,783,792,801,808,818,829,838,845,848,861,870,881,889,893,902,909,925,930,935,944,956,961,969,980,986,994,1005,1013,1019,1030,1037,1049,1053,1066,1072,1081,1092,1102,1110,1116,1125,1136,1141,1147,1158,1168	1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,9,25,28,36,50,59,63,74,83,88,96,107,118,121,136,140,148,155,165,171,317,319,333,336,348,360,364,377,379,387,403,404,420,424,432,440,596,605,610,622,629,639,652,656,664,676,679,690,696,709,720,723,730,739,751,755,763,777,785,792,804,807,818,828,838,842,849,863,868,876,883,895,900,912,921,933,936,942,955,962,974,983,986,997,1007,1012,1026,1034,1041,1049,1054,1069,1076,1085,1093,1098,1108,1119,1124,1133,1143,1154,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,27,36,50,52,61,69,78,93,99,108,113,121,136,138,145,159,170,173,316,325,333,339,349,356,368,372,378,393,401,409,416,429,431,443,468,603,615,621,631,640,650,652,664,671,681,693,698,703,717,723,735,738,753,762,763,777,788,795,803,812,822,830,834,845,850,863,873,877,889,894,901,910,923,927,940,945,956,961,970,983,986,1000,1002,1017,1020,1031,1044,1045,1054,1067,1078,1083,1090,1100,1111,1113,1124,1136,1143,1148,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,27,38,48,51,62,73,78,86,101,108,115,125,129,141,152,155,165,172,313,320,335,340,344,356,367,373,384,393,401,410,416,422,433,440,470,609,616,621,631,642,645,652,661,669,685,692,699,707,716,727,731,738,749,756,766,776,785,794,799,806,819,827,837,842,856,862,870,876,890,899,903,912,921,929,937,946,956,960,974,982,989,993,1003,1018,1023,1034,1041,1046,1058,1064,1077,1085,1092,1100,1106,1120,1128,1137,1139,1155,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,19,30,35,50,56,66,74,78,90,97,106,116,125,129,140,145,155,164,177,314,325,329,338,349,355,367,371,380,394,401,407,413,422,431,441,597,605,612,622,627,638,645,658,666,671,678,687,701,711,714,728,732,740,753,759,769,776,786,789,801,810,817,826,834,842,848,863,871,878,888,891,906,914,917,926,937,944,958,959,968,982,992,994,1005,1018,1026,1035,1038,1052,1058,1063,1072,1085,1094,1098,1106,1119,1127,1134,1145,1149,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,27,34,46,59,65,72,79,87,100,106,114,124,128,137,152,156,163,175,316,325,331,335,344,359,364,375,379,386,400,405,418,423,434,440,598,607,614,618,631,640,651,658,665,671,681,693,701,711,715,721,736,743,748,759,770,772,787,789,797,813,816,824,833,840,849,863,873,876,884,895,904,915,923,930,936,947,955,962,974,984,988,994,1002,1018,1025,1036,1039,1047,1059,1064,1075,1081,1095,1100,1106,1114,1122,1136,1141,1155,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,30,40,43,51,68,70,76,92,97,105,111,121,131,140,153,161,164,176,316,324,328,340,348,360,366,369,379,386,397,407,419,422,436,442,451,602,613,621,633,636,651,660,667,669,684,694,698,710,713,725,732,738,750,762,770,774,787,792,802,814,822,828,834,842,852,863,873,878,883,894,901,915,924,930,935,949,955,960,976,984,990,996,1004,1016,1019,1030,1044,1045,1060,1066,1071,1086,1092,1098,1112,1114,1128,1134,1144,1148,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,29,40,44,55,59,72,84,92,94,108,119,127,133,137,145,161,165,178,316,321,329,338,349,353,368,370,378,390,396,410,414,429,433,444,596,607,612,620,627,637,644,659,667,672,679,686,701,706,715,723,733,739,753,755,766,778,781,791,800,806,822,828,832,847,851,860,866,880,886,892,903,915,921,929,937,949,958,964,970,980,992,994,1003,1017,1023,1034,1041,1048,1056,1063,1078,1084,1090,1099,1109,1118,1130,1134,1141,1154,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,18,29,41,43,57,61,69,80,88,95,110,116,123,130,141,146,155,169,176,317,325,333,340,351,353,362,372,382,393,395,411,414,428,435,445,600,603,610,626,627,637,645,656,664,672,683,693,695,706,718,721,731,743,746,755,763,774,783,791,801,809,818,823,836,846,851,857,866,876,886,899,905,915,919,933,941,942,951,960,976,980,986,1002,1004,1019,1022,1030,1039,1045,1058,1066,1078,1083,1092,1096,1107,1121,1128,1138,1146,1148,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,22,30,41,48,56,64,71,78,92,96,105,113,122,133,141,146,157,163,176,316,323,332,342,347,353,366,375,386,391,398,412,418,426,432,444,458,607,616,625,630,642,645,652,663,673,683,690,700,704,719,724,730,744,748,758,764,771,784,793,799,807,819,829,832,843,849,862,870,877,885,899,905,916,922,931,938,951,957,959,970,977,993,999,1004,1015,1021,1031,1043,1047,1055,1063,1073,1086,1095,1104,1110,1116,1125,1131,1146,1153,1156,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,22,30,39,43,55,60,70,84,87,95,109,111,122,128,137,151,153,168,178,313,321,328,338,346,355,363,377,382,388,398,403,419,422,429,445,599,608,617,624,633,642,647,654,667,671,678,693,695,706,713,724,732,745,750,759,768,774,782,796,799,809,821,825,837,847,854,860,872,877,888,899,900,914,917,926,936,949,954,960,971,981,992,995,1002,1016,1019,1035,1041,1048,1057,1070,1077,1082,1092,1103,1107,1115,1126,1136,1145,1148,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,21,28,41,45,57,64,68,77,86,96,104,119,120,136,142,148,156,169,176,314,325,331,340,349,360,368,374,379,394,398,407,420,423,433,446,596,605,614,625,629,638,646,657,669,677,680,687,701,711,717,724,729,744,749,756,768,774,786,795,804,805,821,829,835,842,856,858,869,875,887,892,900,908,924,928,934,950,959,967,974,977,991,997,1008,1014,1020,1031,1043,1052,1056,1062,1078,1083,1092,1100,1112,1114,1126,1132,1145,1152,1162,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,32,40,47,56,61,74,77,90,101,109,117,126,128,138,152,154,164,172,314,320,328,341,351,359,363,376,379,393,402,411,414,421,435,443,600,607,610,624,627,636,651,659,661,673,678,692,695,711,720,728,737,743,750,759,770,778,783,792,804,807,819,831,833,840,850,860,867,878,890,893,901,913,920,925,938,944,958,967,974,979,992,1001,1009,1014,1025,1030,1042,1048,1061,1063,1078,1085,1093,1096,1112,1117,1125,1131,1144,1149,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,34,40,47,53,65,73,79,89,96,108,117,120,132,140,150,154,163,171,181,324,334,343,348,355,365,370,382,387,402,407,420,422,430,446,599,607,617,622,627,641,650,659,663,673,678,693,698,710,716,725,732,737,749,758,770,773,788,794,798,806,820,829,833,843,852,865,866,877,885,892,900,910,919,933,934,950,958,966,975,982,993,996,1005,1016,1022,1032,1040,1045,1055,1069,1076,1087,1094,1102,1112,1118,1128,1130,1144,1151,1161,1171,1177	0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,17,33,35,48,58,68,69,85,90,95,103,117,126,132,145,148,160,166,177,185,322,334,337,346,353,366,373,384,394,395,405,420,427,433,442,452,608,617,624,632,640,651,654,665,672,680,688,698,708,714,728,734,741,752,759,765,772,788,792,804,808,818,828,837,840,850,860,867,880,885,896,902,912,917,931,935,946,957,967,968,978,987,1002,1008,1011,1026,1031,1043,1047,1061,1068,1074,1087,1090,1096,1109,1113,1129,1137,1140,1153,1162,1170,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,25,29,40,46,57,61,75,84,91,94,109,116,123,135,136,149,159,163,177,189,325,332,337,345,355,367,372,379,391,401,410,419,422,430,440,471,604,615,619,626,636,648,660,665,676,682,687,698,708,715,721,733,740,751,761,767,778,783,793,797,814,822,826,838,847,849,860,869,881,883,894,906,914,922,927,936,945,957,964,974,980,991,996,1007,1011,1027,1034,1043,1049,1054,1068,1070,1079,1095,1097,1111,1116,1128,1137,1141,1150,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,18,33,35,43,58,63,73,81,88,96,102,115,120,134,138,145,159,169,176,191,325,327,335,344,360,361,371,384,388,399,407,415,424,432,444,599,602,617,618,633,639,644,657,666,674,685,692,695,710,715,720,736,746,751,763,771,773,785,788,801,810,822,830,838,846,853,861,868,880,887,894,904,914,922,932,939,950,958,959,975,982,987,998,1003,1011,1026,1035,1039,1045,1061,1068,1072,1083,1096,1103,1105,1119,1122,1132,1143,1154,1160,1166,1177	1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
1,11,21,29,36,43,52,65,74,85,93,101,110,114,127,132,137,152,155,170,175,181,325,335,343,345,360,368,377,380,393,396,403,416,421,433,440,471,601,609,620,628,638,650,658,668,671,683,689,696,704,714,725,734,741,749,759,768,775,783,794,799,812,818,825,834,843,853,864,866,878,885,894,906,910,924,928,938,950,954,961,970,981,989,999,1007,1018,1024,1029,1036,1053,1060,1065,1076,1081,1092,1100,1111,1114,1125,1131,1140,1147,1157,1169,1176	0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1
5,15,23,30,34,47,57,65,75,78,89,96,109,117,121,136,141,152,161,168,171,188,321,331,338,350,353,366,373,385,386,398,408,420,426,435,440,467,605,610,620,630,636,647,660,667,671,685,686,696,708,714,726,733,740,747,755,763,772,780,788,802,806,821,826,833,845,854,859,870,878,883,892,907,910,917,930,937,947,956,961,968,981,987,1001,1009,1014,1022,1029,1039,1050,1060,1062,1073,1082,1090,1100,1111,1119,1124,1132,1143,1149,1160,1167	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,10,17,26,36,46,53,61,74,80,91,100,108,115,120,134,141,147,155,164,171,186,323,326,335,347,358,362,375,384,389,395,404,413,420,437,443,596,608,610,618,629,636,644,655,663,675,681,690,697,706,712,723,729,742,746,758,766,773,786,792,805,811,814,825,839,842,853,857,867,881,890,899,907,913,921,931,939,945,959,961,973,982,991,994,1003,1011,1021,1028,1043,1047,1057,1063,1077,1084,1092,1099,1108,1117,1124,1130,1143,1155,1157,1170,1177	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,18,31,42,49,54,62,76,82,85,95,106,118,120,134,138,150,160,167,173,248,325,329,342,347,355,365,373,385,388,395,409,419,422,434,442,600,605,615,623,633,642,650,659,662,676,685,692,696,703,712,725,735,742,748,755,764,772,781,792,797,809,819,826,831,841,853,862,871,880,886,893,901,910,918,926,936,943,953,964,971,982,988,1002,1007,1019,1027,1028,1041,1052,1056,1067,1076,1084,1095,1101,1111,1114,1130,1138,1140,1152,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,21,25,34,45,55,66,72,80,92,99,103,115,125,131,143,147,159,167,172,315,324,326,341,351,354,367,372,382,394,403,404,416,420,437,439,597,602,614,622,632,637,652,655,666,677,678,690,696,710,714,720,735,740,748,755,765,779,785,789,802,807,821,825,831,842,849,860,869,874,883,893,906,914,923,926,935,949,956,966,969,979,993,994,1004,1016,1022,1034,1037,1052,1057,1068,1072,1083,1092,1097,1113,1121,1123,1137,1141,1148,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,28,36,46,54,64,70,82,90,96,105,118,123,131,138,147,154,162,176,186,326,329,337,348,359,367,370,381,388,397,406,414,427,430,442,447,604,612,622,628,639,648,658,667,669,685,692,700,710,718,724,731,742,747,758,766,773,785,789,801,813,814,827,835,844,849,860,870,882,885,896,904,914,923,927,936,948,956,964,968,979,989,997,1009,1018,1024,1028,1040,1048,1054,1069,1078,1082,1095,1096,1112,1116,1129,1131,1141,1147,1157,1172,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0
5,11,19,27,35,45,54,60,74,84,86,99,105,119,121,134,143,151,157,166,173,181,318,334,338,348,356,362,371,386,390,399,411,414,420,429,444,597,601,611,621,630,640,647,660,662,677,678,687,699,705,720,722,733,742,752,761,764,777,785,796,798,808,818,827,834,842,856,858,871,880,883,892,903,911,922,930,942,948,954,961,975,979,986,1002,1010,1014,1027,1031,1043,1053,1059,1064,1075,1082,1089,1096,1106,1119,1129,1135,1145,1148,1157,1170	0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,21,28,37,47,57,67,70,78,88,97,104,119,125,133,143,149,160,170,174,186,323,332,336,348,353,364,370,386,394,395,407,415,424,429,442,600,609,611,621,634,642,650,652,665,670,679,689,695,705,717,728,731,742,749,758,769,778,781,789,802,809,818,827,838,846,855,857,866,877,882,894,908,915,923,933,935,949,956,967,976,979,992,1000,1009,1018,1024,1034,1039,1048,1060,1062,1076,1085,1094,1101,1111,1119,1129,1135,1146,1155,1159,1168	1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,25,30,35,48,52,60,75,82,93,99,103,118,127,130,143,153,155,163,173,180,321,332,339,345,359,368,377,385,390,397,404,418,428,435,444,459,607,613,623,631,641,646,659,663,673,679,689,697,706,718,727,729,743,747,756,768,779,786,794,801,807,817,824,835,845,851,864,872,878,885,893,905,912,925,926,940,946,959,966,973,983,989,996,1008,1019,1021,1031,1043,1046,1059,1068,1073,1086,1090,1097,1110,1117,1125,1132,1146,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
8,14,21,29,40,46,53,65,68,85,89,94,105,117,124,136,138,148,155,165,173,181,322,331,336,348,354,362,375,382,387,402,408,416,421,432,441,599,606,614,622,630,635,647,653,663,676,680,689,699,707,719,721,737,744,752,760,769,778,786,792,804,808,822,830,836,841,855,863,870,876,889,895,906,915,923,933,934,943,956,959,973,984,991,999,1009,1017,1019,1031,1038,1050,1061,1062,1075,1081,1093,1101,1110,1119,1124,1137,1141,1149,1156,1172	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,21,32,40,46,54,65,75,78,89,100,108,112,123,128,137,149,157,164,177,186,322,330,335,348,354,364,373,385,392,400,407,415,421,432,444,447,609,613,625,630,637,649,653,660,671,678,686,699,711,718,723,734,745,754,755,765,777,786,794,803,813,819,828,835,845,849,861,866,880,889,892,900,914,919,932,939,950,952,961,975,984,986,1001,1003,1017,1021,1033,1040,1049,1056,1069,1078,1084,1095,1099,1109,1121,1129,1138,1139,1152,1156,1168	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,12,23,33,41,46,58,60,70,79,93,99,102,117,125,132,137,151,159,167,178,313,322,330,336,349,358,366,374,378,392,400,411,420,424,433,440,597,600,615,624,627,641,649,656,664,669,681,688,699,710,716,721,730,745,751,755,767,774,785,791,800,811,817,829,835,847,849,864,873,880,889,895,907,911,917,927,938,947,955,962,971,978,987,999,1003,1014,1024,1030,1043,1048,1057,1067,1074,1083,1089,1103,1109,1113,1124,1134,1142,1155,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,22,26,41,44,54,62,75,76,87,95,110,113,126,131,138,147,161,162,176,315,318,334,336,349,356,363,377,382,391,399,409,417,428,431,442,599,607,612,622,633,639,644,652,664,673,685,692,699,711,713,722,730,740,748,759,764,778,785,793,798,811,818,828,836,846,849,858,868,880,889,897,905,913,917,930,941,946,956,961,970,977,988,995,1008,1019,1023,1034,1039,1053,1056,1070,1074,1080,1088,1103,1107,1119,1128,1131,1139,1155,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,27,41,45,53,64,69,85,90,94,106,116,125,130,143,146,159,169,176,314,321,335,337,343,357,362,370,378,393,396,408,416,421,432,438,467,604,614,624,630,641,647,658,663,670,684,686,699,704,714,722,729,745,750,762,770,773,781,796,804,812,817,825,837,843,849,862,870,875,889,891,905,910,919,928,936,947,953,968,974,979,985,997,1009,1016,1027,1035,1038,1049,1053,1068,1076,1087,1093,1099,1111,1116,1122,1134,1140,1149,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,25,28,36,49,55,64,68,78,91,102,103,116,126,132,139,150,157,164,173,317,325,329,337,349,355,361,373,380,391,401,408,412,422,434,437,447,602,615,618,628,636,651,655,665,672,680,690,695,710,719,724,731,739,753,756,765,774,788,793,804,812,818,826,833,841,851,857,868,879,890,893,905,911,922,931,934,950,952,960,972,976,987,1001,1004,1014,1023,1035,1043,1048,1060,1070,1071,1086,1093,1100,1109,1115,1128,1131,1147,1152,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,32,39,46,57,67,69,83,90,101,107,119,127,131,142,149,158,163,172,315,321,328,339,350,358,368,376,384,389,397,411,417,426,437,443,596,602,613,624,634,638,651,655,663,671,684,688,695,704,717,721,735,745,751,757,765,775,787,789,801,812,817,824,835,841,852,865,870,880,884,891,907,912,918,928,937,950,958,966,973,980,987,995,1008,1012,1022,1030,1042,1053,1060,1066,1073,1085,1094,1104,1112,1119,1127,1133,1142,1152,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,30,37,46,59,60,75,83,86,99,109,113,119,132,142,152,160,167,177,315,319,332,337,346,355,361,371,384,392,401,408,419,424,431,444,460,601,613,626,630,638,649,657,666,676,683,693,700,710,718,729,733,745,747,759,766,771,788,789,798,807,817,825,837,844,849,861,867,881,888,897,905,911,924,931,938,944,957,962,973,981,990,997,1008,1017,1027,1031,1041,1048,1056,1069,1076,1084,1095,1097,1109,1115,1128,1131,1143,1149,1158,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,26,38,49,52,60,72,78,88,98,108,116,121,134,142,146,158,163,176,315,324,333,339,350,359,365,377,379,392,402,407,417,422,436,443,468,605,614,618,631,643,649,652,660,675,679,692,695,709,713,723,736,745,750,761,769,772,784,791,804,806,818,825,834,841,849,857,866,874,891,897,904,910,924,925,936,945,951,966,974,985,992,999,1008,1015,1020,1029,1037,1049,1057,1069,1073,1080,1095,1098,1112,1121,1128,1135,1143,1151,1156,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,34,37,48,53,68,70,77,89,94,106,113,127,132,144,148,158,170,171,316,322,331,341,351,357,364,374,379,393,396,409,413,424,431,444,596,605,614,623,628,639,649,654,660,674,686,690,702,703,719,722,729,738,749,759,769,776,782,789,799,806,816,830,834,847,855,861,871,876,886,898,906,909,925,933,937,946,955,966,969,977,991,995,1002,1012,1021,1034,1040,1046,1059,1062,1071,1087,1090,1099,1107,1115,1128,1134,1139,1149,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,29,40,44,56,61,70,79,87,101,109,117,123,130,141,152,159,168,178,184,321,331,335,348,360,366,373,385,393,399,411,419,425,429,439,597,604,611,624,630,639,649,657,662,677,680,694,698,705,718,728,731,738,753,759,767,777,781,793,799,813,817,823,833,847,851,862,872,878,888,893,907,916,924,933,940,948,952,960,976,979,987,994,1006,1017,1024,1030,1041,1051,1060,1064,1072,1083,1087,1097,1107,1120,1126,1138,1140,1155,1161,1170,1176	1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,17,31,38,48,59,67,71,77,92,94,103,113,123,129,137,149,154,165,178,317,322,334,340,348,357,366,371,381,393,398,407,414,427,433,442,451,602,612,620,632,643,644,657,662,677,686,692,703,704,716,726,735,743,746,760,771,779,782,790,801,809,821,830,836,845,856,863,866,880,885,894,906,913,918,932,939,948,952,960,969,978,986,1001,1005,1015,1020,1034,1042,1045,1059,1066,1078,1079,1094,1102,1108,1117,1122,1134,1139,1152,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,27,42,51,56,66,71,83,93,100,107,118,119,128,138,147,156,166,177,317,319,335,343,345,355,363,372,385,392,402,410,418,428,436,446,460,600,611,624,629,641,651,657,661,676,684,686,695,707,719,724,735,739,751,759,767,777,782,792,798,813,821,828,835,842,850,864,869,881,884,897,901,916,924,929,941,947,952,964,971,983,990,994,1002,1011,1021,1036,1040,1050,1058,1067,1071,1086,1094,1102,1106,1119,1122,1134,1143,1153,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,30,35,48,53,66,70,79,87,99,110,118,126,128,137,151,154,162,178,313,322,331,337,348,357,366,373,380,395,403,410,416,421,436,442,457,603,611,618,631,639,647,654,660,676,682,687,696,707,711,720,733,745,748,755,766,777,780,795,797,809,818,825,832,840,854,857,869,878,887,897,904,910,922,929,939,944,952,960,975,980,990,1000,1009,1011,1020,1033,1039,1050,1059,1068,1073,1082,1092,1103,1105,1117,1122,1131,1147,1148,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,22,33,38,47,57,60,73,80,91,98,104,112,126,133,140,151,158,165,176,316,325,329,343,351,353,364,372,384,393,395,405,413,429,433,441,596,601,615,624,633,637,650,659,661,671,683,688,695,705,718,728,733,745,751,757,763,779,788,792,805,809,820,831,832,843,855,862,867,881,889,897,907,915,918,932,938,947,954,963,971,980,989,996,1002,1018,1019,1030,1037,1053,1059,1069,1072,1085,1092,1103,1109,1115,1127,1134,1144,1148,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,29,34,43,52,62,71,84,89,101,107,117,122,130,144,148,160,169,173,191,319,329,338,346,354,367,375,382,390,398,405,419,425,435,444,451,606,616,621,628,636,649,659,665,674,681,688,700,709,712,723,736,742,752,757,769,780,788,796,798,806,820,825,833,847,856,859,872,879,884,895,905,909,918,932,939,950,959,966,968,983,986,998,1004,1015,1024,1035,1042,1049,1054,1068,1076,1083,1088,1103,1105,1118,1129,1138,1144,1154,1163,1171,1176	1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,23,28,38,43,59,62,74,81,89,96,105,114,126,129,144,149,157,165,174,315,322,333,339,344,355,362,373,378,389,397,405,420,427,431,440,471,604,610,623,631,641,649,657,663,674,678,688,699,706,718,723,730,740,754,762,769,778,781,791,799,812,814,823,833,848,849,858,868,879,886,897,902,915,925,926,937,947,952,967,968,983,993,995,1002,1014,1021,1035,1040,1045,1056,1064,1071,1085,1088,1102,1110,1116,1130,1132,1146,1150,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,23,25,35,46,56,63,73,79,90,98,103,118,125,131,137,151,155,166,176,313,319,333,338,346,359,366,372,381,387,398,404,419,424,436,445,470,601,614,622,628,636,644,655,664,669,681,687,703,705,716,726,730,739,752,758,764,777,786,797,800,811,816,827,839,840,853,863,871,882,886,896,907,915,920,927,934,944,952,966,969,982,986,997,1006,1017,1025,1031,1038,1051,1058,1067,1077,1082,1094,1096,1111,1114,1124,1133,1145,1148,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,29,40,45,56,64,74,77,92,94,104,119,127,128,137,150,154,162,174,316,320,331,340,344,352,363,374,386,393,396,405,415,429,436,438,598,606,609,618,627,643,646,654,663,676,679,687,701,711,715,727,732,739,752,755,763,779,782,790,805,809,821,830,837,847,856,865,867,875,882,893,908,912,918,932,939,948,958,967,973,981,993,995,1007,1018,1022,1036,1040,1046,1060,1063,1073,1086,1090,1103,1110,1117,1130,1138,1141,1152,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,33,35,44,53,64,75,82,92,99,106,119,126,128,144,148,160,165,177,316,324,332,341,352,354,366,371,386,393,400,411,416,427,436,443,460,607,615,624,628,639,651,656,668,676,681,694,700,709,718,725,733,742,750,760,769,772,782,797,805,814,818,830,834,844,848,862,871,879,886,898,900,911,923,930,935,950,958,960,968,983,986,1001,1002,1014,1024,1032,1042,1051,1053,1069,1078,1081,1089,1097,1112,1117,1129,1136,1146,1152,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,22,29,38,48,52,59,74,80,86,97,107,115,123,128,143,153,160,164,171,314,326,333,336,349,352,365,373,382,388,400,405,415,424,430,440,599,601,611,620,630,636,646,658,661,676,683,693,697,703,715,721,733,744,749,755,766,772,781,793,798,813,819,831,835,845,856,864,870,877,890,894,900,912,917,928,941,943,951,960,970,984,991,998,1005,1013,1021,1029,1044,1049,1054,1065,1077,1083,1095,1098,1105,1117,1122,1132,1144,1150,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,27,34,49,58,61,69,84,91,96,102,111,124,131,143,153,158,166,170,316,326,327,340,344,353,364,376,378,391,395,405,419,422,432,441,599,607,616,618,628,635,645,654,664,676,682,692,702,708,715,721,737,744,747,758,764,776,782,790,802,808,818,830,834,848,851,859,866,874,890,896,903,908,918,925,934,944,953,961,974,978,991,1000,1009,1016,1026,1029,1041,1048,1056,1064,1071,1081,1092,1096,1113,1116,1124,1131,1140,1154,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,25,37,46,57,67,73,78,93,97,108,116,121,128,136,146,154,169,176,316,319,332,343,345,354,366,373,384,387,397,409,413,422,436,444,600,603,610,624,627,640,646,652,663,672,684,692,699,710,712,724,729,745,752,758,769,774,788,793,799,813,819,825,838,840,850,858,871,879,883,893,901,911,921,932,940,949,957,961,970,982,991,998,1009,1013,1026,1030,1042,1051,1058,1070,1073,1079,1091,1101,1109,1117,1121,1137,1147,1153,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,32,42,50,56,60,70,85,89,98,103,114,127,130,142,148,157,170,171,316,319,333,341,351,356,364,370,385,393,401,410,418,427,433,438,463,604,611,620,630,637,651,655,663,675,677,691,700,703,714,725,735,743,750,760,770,779,787,790,801,807,815,825,835,840,849,860,867,878,885,899,904,914,917,928,938,942,955,963,976,982,987,994,1007,1018,1021,1030,1038,1046,1061,1065,1076,1080,1094,1098,1108,1118,1127,1131,1142,1151,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,21,34,39,44,59,65,72,82,87,98,107,114,128,134,140,152,156,168,174,315,323,331,340,344,357,366,377,383,389,403,408,415,427,430,441,597,601,612,623,626,639,647,659,662,670,679,686,697,708,716,721,736,741,750,756,764,775,781,796,800,809,814,828,837,846,854,862,872,879,890,899,900,911,923,925,941,947,959,963,971,982,993,998,1008,1010,1022,1032,1039,1048,1058,1068,1078,1082,1093,1096,1106,1114,1127,1132,1146,1155,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,18,31,40,45,53,61,70,85,89,96,102,112,127,133,138,149,160,165,171,314,321,333,339,350,353,362,375,380,394,403,407,414,426,432,438,599,604,614,618,631,636,647,659,668,673,681,692,701,704,719,720,731,738,750,762,766,776,784,790,797,807,820,826,835,846,853,859,871,878,888,891,901,909,921,928,940,946,958,964,971,982,986,995,1009,1013,1020,1034,1037,1045,1058,1066,1077,1086,1093,1101,1113,1121,1128,1135,1141,1153,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,23,28,39,44,55,61,72,82,91,98,107,113,119,135,136,147,157,169,174,314,318,333,342,348,360,364,377,378,393,398,404,417,427,430,438,460,605,614,623,627,638,643,652,665,676,682,693,695,705,716,727,735,742,749,757,766,774,783,796,802,812,821,825,832,845,852,858,870,877,887,891,905,915,923,933,937,946,954,966,971,981,988,996,1006,1011,1026,1033,1041,1051,1059,1063,1072,1086,1092,1101,1108,1117,1129,1135,1144,1152,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,33,40,45,56,66,73,83,91,97,103,112,121,128,140,147,158,167,172,317,318,329,338,348,356,368,371,380,390,397,406,413,428,437,444,598,606,615,626,632,640,650,660,669,670,681,687,702,706,713,728,729,737,749,759,765,777,782,797,800,810,817,830,832,840,855,857,867,879,884,895,906,910,920,927,938,949,951,963,975,980,989,996,1005,1015,1020,1033,1038,1052,1059,1063,1077,1081,1095,1104,1108,1115,1125,1133,1140,1151,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,27,41,50,56,62,71,77,89,102,107,116,125,134,139,148,161,164,176,182,319,334,342,343,359,365,369,384,387,400,406,413,423,437,444,470,606,617,623,627,635,645,658,661,675,683,693,699,705,716,725,734,745,748,756,766,772,781,793,802,810,820,831,832,843,856,863,871,881,882,892,904,908,918,926,937,943,958,965,972,979,987,1000,1009,1014,1019,1031,1043,1048,1055,1063,1076,1082,1088,1096,1110,1120,1128,1132,1140,1151,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,20,33,40,49,55,64,71,76,90,102,104,115,121,133,137,150,156,170,177,183,322,332,340,348,353,368,376,381,394,395,409,417,425,437,440,456,604,612,621,633,637,645,658,666,671,681,686,702,707,715,728,729,738,751,760,764,775,781,789,802,806,820,829,839,841,854,865,874,879,883,893,901,916,924,925,937,946,956,962,975,978,988,1000,1006,1012,1024,1030,1039,1047,1057,1064,1071,1079,1089,1098,1106,1114,1122,1134,1140,1153,1163,1169,1174	1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,8,24,27,42,50,56,62,71,83,93,96,106,113,119,130,140,145,156,164,177,180,324,332,338,345,353,367,376,382,393,402,404,413,427,432,440,600,603,615,623,626,642,647,654,667,673,679,689,701,711,716,721,730,739,751,758,771,776,782,790,802,810,815,824,833,846,854,862,871,877,889,892,900,908,922,926,939,944,956,967,971,979,989,997,1006,1011,1021,1028,1040,1050,1059,1063,1071,1081,1094,1101,1105,1119,1124,1134,1141,1150,1161,1164	0,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,15,24,30,39,50,56,66,69,78,91,96,103,113,125,133,143,152,158,165,177,187,323,332,343,349,357,362,371,379,391,401,404,420,424,432,444,457,601,615,618,631,640,647,658,661,674,684,692,702,710,715,722,737,741,753,759,763,775,780,791,803,806,818,826,833,848,849,862,871,875,886,897,903,909,920,932,937,950,957,966,976,981,989,995,1004,1011,1021,1030,1043,1048,1057,1066,1076,1087,1090,1100,1108,1121,1129,1132,1139,1152,1158,1168,1177	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,11,19,33,40,42,55,62,70,82,88,100,108,112,120,130,141,152,158,163,172,183,318,331,340,344,360,363,377,380,391,398,406,420,425,433,443,461,602,610,625,628,636,645,658,666,675,682,687,702,711,719,728,736,745,751,760,763,775,788,796,799,814,820,825,833,842,854,859,868,881,886,894,900,913,920,930,934,943,953,964,969,980,985,998,1004,1011,1024,1028,1037,1052,1057,1069,1073,1082,1090,1101,1109,1114,1127,1134,1141,1148,1163,1168,1176	1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,19,33,40,43,57,61,68,85,93,94,107,115,119,131,137,145,155,168,178,184,326,334,335,344,356,367,373,385,386,396,409,419,428,433,441,597,608,615,625,627,642,643,660,666,675,678,688,697,704,715,724,731,738,747,755,766,777,786,789,801,811,818,825,835,844,852,859,871,874,883,894,899,910,921,926,935,943,956,967,971,983,988,999,1006,1011,1026,1035,1040,1045,1060,1062,1076,1086,1094,1103,1107,1116,1127,1131,1140,1148,1164,1170,1174	0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,17,30,37,45,57,65,69,80,91,99,109,114,125,129,144,150,157,166,177,181,326,329,342,344,358,364,371,384,392,397,411,417,421,437,440,599,606,615,624,627,640,645,657,668,670,683,687,698,704,712,728,729,744,751,761,771,777,785,794,799,807,818,828,839,841,848,864,867,881,883,894,900,908,918,930,937,942,958,963,974,978,989,994,1009,1015,1020,1036,1039,1048,1058,1062,1072,1085,1093,1096,1108,1119,1126,1136,1146,1152,1157,1166,1177	1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,15,19,25,35,43,54,66,76,78,85,93,107,117,128,130,137,152,155,164,174,316,322,329,337,351,354,369,371,384,391,403,410,420,425,431,445,453,606,614,621,633,636,645,656,660,673,680,689,698,707,719,721,737,745,752,756,766,772,782,794,798,813,816,823,839,842,856,862,867,877,890,894,907,915,922,933,939,948,957,960,968,980,990,994,1005,1017,1019,1034,1044,1051,1054,1065,1072,1081,1095,1099,1107,1115,1128,1136,1143,1150,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,11,23,31,36,50,52,64,74,82,89,100,106,113,127,135,138,149,161,166,171,318,322,333,338,350,360,366,372,385,391,401,404,416,423,435,444,599,605,610,619,633,641,645,653,665,672,682,688,701,709,714,721,732,743,752,757,767,773,788,789,799,807,819,823,836,840,851,863,872,880,886,897,899,915,920,932,940,947,952,967,969,978,988,1000,1003,1016,1023,1035,1037,1045,1055,1067,1072,1079,1087,1103,1106,1119,1128,1137,1146,1155,1164,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,24,28,41,45,51,66,70,85,89,98,103,116,123,135,137,150,157,168,173,203,319,327,341,345,359,366,370,381,393,403,412,414,426,432,444,466,608,611,619,630,637,651,655,662,673,682,686,700,709,719,723,737,739,753,755,769,779,787,789,803,810,819,827,835,842,852,859,867,879,885,898,903,916,925,929,941,947,957,962,968,976,993,998,1010,1016,1027,1030,1037,1047,1058,1069,1077,1085,1091,1102,1108,1115,1125,1134,1142,1150,1158,1165,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,23,29,38,45,57,67,75,80,85,99,105,117,123,129,137,147,161,163,173,180,318,331,339,351,356,368,374,380,390,402,406,419,421,432,438,597,608,617,622,631,639,646,658,661,671,680,692,695,706,714,727,732,745,746,757,766,774,782,792,804,808,816,826,832,846,856,859,869,882,888,898,905,909,917,933,937,944,956,964,972,983,987,995,1007,1013,1022,1034,1040,1045,1055,1066,1077,1085,1087,1099,1110,1116,1126,1132,1146,1153,1159,1168,1175	1,0,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,15,19,29,42,50,56,63,69,77,88,96,106,115,127,135,141,153,155,163,176,187,322,327,340,348,355,367,372,379,392,400,404,415,427,437,441,465,604,615,623,630,637,644,660,664,675,682,693,698,708,719,723,730,739,748,755,767,779,783,790,800,809,820,827,833,847,854,858,868,875,886,895,903,909,922,933,939,950,956,963,970,976,993,999,1003,1015,1020,1035,1040,1045,1053,1065,1077,1087,1094,1103,1107,1114,1130,1132,1140,1155,1162,1172	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0
1,10,18,30,38,45,58,63,73,80,92,94,105,114,125,129,141,148,155,168,173,180,318,334,339,349,352,363,376,382,388,403,411,417,429,432,444,599,604,614,618,631,637,650,660,662,672,682,688,698,709,716,728,731,742,750,755,766,774,782,789,803,808,814,828,839,848,856,857,872,877,883,894,902,908,919,927,940,944,958,967,968,983,992,998,1007,1019,1025,1035,1041,1045,1061,1065,1072,1085,1092,1099,1110,1113,1126,1132,1146,1154,1158,1165,1174	0,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,15,25,32,36,49,57,64,72,77,89,99,109,118,126,132,142,146,158,162,175,197,325,330,336,348,355,368,376,382,388,396,408,413,422,431,445,596,607,609,623,630,637,648,659,660,670,679,690,700,711,713,725,732,743,751,762,766,773,781,794,804,810,816,831,832,840,850,864,869,874,884,898,900,909,919,928,935,948,956,963,970,983,988,1002,1004,1017,1025,1033,1041,1051,1059,1064,1073,1081,1090,1100,1105,1119,1126,1134,1139,1154,1159,1165,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,20,28,36,45,54,66,69,83,87,94,104,117,125,130,139,153,155,170,179,181,318,331,335,347,353,369,371,379,389,396,409,419,424,430,444,466,604,610,618,631,637,651,654,661,671,685,688,701,704,715,722,732,745,751,762,767,780,787,792,802,812,814,829,831,844,848,860,869,878,887,898,906,916,918,926,939,944,956,960,974,983,989,1001,1006,1013,1027,1032,1037,1053,1054,1068,1070,1082,1088,1102,1107,1115,1124,1133,1146,1154,1163,1173,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,33,39,49,56,63,68,83,90,96,103,118,124,130,139,149,157,169,174,316,325,327,343,345,352,363,374,379,389,396,408,416,426,436,439,599,603,617,619,630,640,651,653,666,671,679,693,700,708,717,721,737,743,750,762,765,772,786,788,801,810,821,828,832,843,850,865,866,880,890,897,901,913,921,928,937,943,955,965,976,979,987,994,1004,1012,1023,1028,1040,1045,1061,1063,1072,1084,1092,1102,1105,1118,1125,1134,1147,1150,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,34,38,44,57,67,75,82,93,94,105,117,125,135,138,147,162,166,179,316,320,332,337,343,358,366,373,383,392,401,408,419,423,433,442,599,608,611,618,632,639,643,653,666,674,679,686,695,708,716,723,733,744,754,761,764,775,786,796,799,811,816,825,832,841,849,862,871,878,890,898,903,914,917,929,937,947,955,964,974,976,992,998,1008,1015,1027,1030,1037,1052,1054,1069,1074,1087,1091,1098,1109,1120,1123,1137,1143,1148,1163,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,33,38,45,53,61,70,78,89,100,110,111,120,136,141,146,157,163,171,316,319,327,340,349,352,361,371,383,394,402,405,417,427,437,443,597,606,617,618,634,635,647,654,663,669,678,691,700,710,718,720,730,745,749,757,763,776,787,795,800,810,818,829,838,848,856,862,865,879,888,898,901,913,921,932,940,943,959,963,968,980,989,997,1004,1017,1021,1027,1044,1046,1057,1062,1070,1081,1095,1101,1111,1119,1121,1131,1142,1155,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,17,34,35,48,55,62,72,84,89,98,104,116,124,130,139,153,158,167,171,317,322,327,343,349,358,366,374,383,390,396,409,412,425,434,438,449,608,609,618,630,641,645,655,662,677,680,693,698,708,714,724,735,743,754,756,770,776,784,790,800,808,818,824,837,844,854,858,871,879,886,894,907,911,922,931,937,942,952,965,969,978,986,1002,1010,1015,1025,1029,1039,1049,1053,1063,1077,1080,1087,1099,1110,1121,1124,1135,1139,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,19,32,40,49,53,61,74,78,87,97,107,118,126,130,141,145,158,162,170,317,324,328,342,352,358,366,369,378,388,397,411,416,427,434,445,598,608,617,625,633,638,645,659,662,673,679,693,699,711,718,722,737,740,750,762,767,772,785,791,801,810,816,830,839,844,849,860,869,878,884,893,900,909,919,933,935,949,953,962,974,980,989,1000,1002,1017,1020,1033,1038,1050,1061,1068,1071,1082,1090,1099,1112,1113,1126,1136,1143,1155,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,30,35,50,57,62,73,82,89,95,103,115,120,133,143,150,154,169,174,317,319,333,337,348,357,362,377,383,387,399,411,417,421,436,445,596,608,614,624,634,643,651,659,666,670,678,692,702,709,715,726,730,741,752,762,765,774,782,793,802,813,818,828,838,846,855,857,871,878,890,896,907,910,924,927,936,944,955,961,975,979,992,993,1006,1016,1027,1032,1036,1050,1060,1063,1071,1086,1093,1104,1111,1118,1127,1134,1141,1152,1156,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,26,40,46,51,60,72,83,86,100,107,115,122,128,139,147,153,164,176,315,322,333,336,352,353,362,372,381,391,403,405,412,427,434,443,597,609,613,622,631,636,643,655,666,671,685,686,697,709,713,728,733,740,753,758,767,778,787,791,804,807,818,826,832,846,856,864,868,878,891,898,900,915,924,930,936,943,957,966,971,977,987,1001,1009,1017,1019,1032,1039,1047,1057,1070,1077,1079,1095,1096,1108,1115,1129,1137,1141,1154,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,24,29,37,50,53,67,68,77,89,101,108,114,122,131,142,151,159,164,178,316,325,332,335,347,356,366,373,381,386,403,410,414,422,431,443,599,608,612,625,633,641,644,657,666,677,679,688,700,708,714,724,730,744,754,756,770,776,786,794,804,806,818,828,837,847,852,858,868,879,883,892,902,909,919,933,938,949,956,961,971,978,991,997,1006,1015,1021,1033,1044,1049,1061,1063,1072,1083,1092,1102,1108,1116,1127,1138,1147,1155,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,20,31,41,45,53,66,69,84,88,94,108,114,127,134,142,147,160,164,178,180,325,329,342,348,354,361,369,385,394,398,406,416,427,436,443,597,607,615,620,631,638,643,655,664,671,681,686,702,705,718,720,736,737,753,760,765,773,786,793,800,810,819,829,839,841,851,862,870,876,885,891,907,912,924,930,941,946,957,963,970,980,992,995,1006,1011,1027,1036,1044,1045,1060,1065,1071,1084,1088,1102,1111,1119,1122,1136,1147,1149,1163,1171	1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0
5,12,18,32,37,44,54,61,69,82,91,96,106,118,125,133,137,151,156,164,174,315,323,333,343,347,352,361,376,380,390,401,406,420,422,437,445,600,602,614,624,632,638,645,656,662,669,682,686,699,706,719,725,733,738,751,762,765,777,785,789,797,808,818,828,837,847,853,863,868,879,887,897,904,914,924,928,938,945,951,967,972,983,990,998,1007,1012,1019,1028,1040,1050,1060,1068,1076,1087,1094,1104,1106,1121,1130,1131,1147,1151,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,30,38,47,51,67,73,77,87,100,103,115,120,133,141,147,159,164,173,315,323,333,342,344,356,368,370,380,393,395,410,417,425,436,443,597,607,616,618,628,642,647,657,660,676,683,686,695,705,719,721,735,742,748,760,764,779,780,796,801,806,821,823,835,846,856,857,872,875,883,897,904,911,918,927,939,948,957,966,975,984,985,995,1007,1014,1023,1032,1037,1052,1060,1063,1071,1082,1088,1104,1110,1114,1123,1132,1139,1154,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,31,42,45,53,61,72,78,92,99,103,116,121,132,139,153,158,165,174,316,322,334,342,345,358,365,376,384,395,397,404,416,426,434,442,600,609,613,624,634,639,647,655,661,673,679,694,702,705,716,721,730,741,746,754,770,776,787,791,803,813,816,825,837,840,851,864,866,879,890,893,908,913,924,929,938,947,955,960,971,978,993,997,1009,1011,1027,1029,1044,1052,1055,1065,1079,1085,1092,1103,1107,1119,1127,1134,1146,1154,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,17,29,36,44,57,61,70,80,88,99,106,116,125,128,143,153,156,169,176,315,318,332,342,344,354,365,377,381,393,397,408,417,423,437,439,596,601,611,618,629,636,644,653,667,672,684,691,695,711,717,725,734,740,748,756,768,776,784,792,798,809,816,829,840,845,854,857,869,876,885,894,905,915,922,926,939,946,954,963,971,981,988,998,1004,1013,1025,1033,1041,1045,1054,1065,1072,1084,1092,1102,1106,1115,1125,1137,1144,1147,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,18,33,41,50,54,67,74,82,93,95,107,117,124,132,137,151,153,165,172,183,322,334,341,351,360,362,377,379,391,398,405,414,426,435,441,600,602,613,621,630,642,649,660,667,672,682,694,695,708,717,724,731,737,746,761,766,779,785,794,802,810,815,831,835,840,856,859,872,882,889,898,902,913,921,931,939,944,959,961,970,984,986,995,1002,1016,1022,1036,1042,1045,1059,1065,1076,1087,1092,1100,1111,1115,1124,1132,1139,1154,1162,1171,1174	1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,16,22,26,42,50,59,62,73,78,92,102,107,114,124,132,137,153,157,167,174,315,319,327,338,351,358,361,375,379,391,396,411,413,422,434,439,599,608,615,618,634,636,646,653,661,669,678,686,698,710,715,724,736,741,752,761,765,772,781,796,805,813,815,828,838,845,856,861,872,874,888,891,903,915,918,927,941,945,956,967,975,980,986,998,1010,1017,1019,1029,1042,1046,1058,1069,1077,1086,1091,1102,1112,1121,1123,1131,1140,1151,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,25,35,44,55,66,72,84,86,98,103,115,122,135,144,148,159,162,176,316,321,333,343,350,356,368,375,380,393,401,408,416,424,433,445,598,607,612,618,634,636,650,659,660,675,680,686,697,710,713,725,734,740,748,757,770,777,784,797,800,809,817,824,834,847,851,861,868,879,888,893,901,909,925,927,940,943,953,966,969,981,991,998,1002,1017,1021,1033,1036,1050,1060,1065,1075,1085,1088,1102,1106,1114,1124,1138,1141,1147,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,26,42,44,57,61,71,85,88,98,103,114,126,134,137,147,158,164,177,315,323,330,341,347,353,366,377,378,395,396,412,416,426,434,440,453,602,611,625,626,642,645,652,660,674,681,692,700,706,712,726,732,740,746,755,770,777,785,790,800,806,820,831,834,845,853,864,870,875,886,898,904,913,923,933,934,949,955,965,972,978,987,996,1003,1014,1023,1032,1038,1053,1054,1068,1072,1079,1091,1104,1112,1116,1123,1137,1141,1154,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,22,33,40,49,51,59,76,82,93,97,110,116,122,133,143,151,157,165,173,317,324,331,343,348,352,362,373,380,387,398,404,418,423,434,438,600,603,615,623,633,635,651,655,660,674,677,692,700,708,718,727,737,741,751,759,770,774,782,794,802,811,820,830,835,847,853,860,866,877,884,894,904,911,921,930,934,943,951,967,972,976,988,997,1008,1015,1020,1035,1044,1050,1057,1065,1071,1083,1091,1098,1110,1116,1130,1138,1144,1155,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,26,40,50,59,65,74,80,88,99,110,113,120,130,141,149,158,168,172,315,319,332,343,351,355,367,371,385,390,403,410,419,427,429,438,598,605,615,624,627,636,647,655,663,677,680,691,694,707,718,722,729,745,752,758,765,772,783,789,797,811,818,824,838,842,849,864,868,876,888,891,899,915,920,927,939,949,952,965,975,977,988,1001,1008,1015,1027,1033,1038,1050,1061,1066,1075,1082,1095,1102,1111,1119,1122,1135,1141,1150,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,24,32,34,42,53,67,74,82,91,98,104,112,125,133,136,148,161,165,174,315,320,329,341,344,360,361,374,379,394,396,411,420,421,431,442,460,605,609,621,633,642,652,653,662,677,678,693,700,704,714,721,736,742,748,759,771,779,782,796,799,813,820,826,835,846,851,859,869,879,888,893,903,912,922,931,939,946,954,959,974,982,992,996,1009,1014,1021,1030,1037,1046,1057,1066,1073,1079,1092,1098,1107,1117,1130,1134,1142,1148,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,17,33,36,50,55,61,72,82,91,101,105,116,119,132,142,148,157,168,175,316,320,328,336,347,355,366,370,381,391,399,408,419,425,433,440,600,606,617,626,632,637,644,659,661,669,683,689,698,706,719,720,729,742,751,762,771,779,787,793,802,811,820,828,840,841,852,863,871,880,885,897,905,913,925,932,940,949,953,960,970,976,993,994,1004,1012,1025,1032,1042,1048,1057,1062,1071,1087,1089,1101,1110,1121,1124,1136,1142,1150,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,28,41,50,54,63,70,77,89,100,103,117,128,135,144,151,160,163,174,318,320,331,338,351,352,364,370,385,388,400,409,415,429,436,444,598,601,611,624,629,642,646,658,668,673,679,690,697,706,713,728,732,741,753,760,764,772,781,789,802,808,814,829,836,843,856,863,866,881,889,896,900,911,924,933,939,947,958,962,971,981,990,996,1008,1012,1025,1032,1042,1053,1054,1066,1074,1085,1093,1097,1107,1120,1130,1135,1145,1152,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,17,33,38,48,56,59,74,81,90,94,106,119,121,136,142,150,157,168,178,316,321,330,337,348,358,369,370,384,394,395,408,415,424,434,437,465,600,617,620,633,637,650,654,664,671,682,689,697,705,717,725,729,744,750,759,768,777,780,795,804,812,821,829,838,845,849,863,866,879,887,895,903,914,922,928,936,946,959,963,968,977,988,998,1006,1012,1026,1032,1043,1049,1056,1069,1078,1086,1089,1097,1106,1115,1129,1134,1140,1153,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,25,27,36,49,59,62,75,80,86,101,106,117,121,132,142,152,157,162,172,313,320,330,339,345,359,364,374,384,395,401,408,418,423,429,443,596,601,617,620,632,638,643,656,661,671,683,689,702,703,713,723,735,738,749,760,770,777,784,792,797,807,819,831,838,848,851,864,870,879,888,899,900,911,924,927,937,950,951,966,972,981,990,996,1007,1017,1023,1031,1037,1051,1057,1069,1075,1083,1090,1099,1109,1116,1129,1130,1139,1150,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,30,38,48,58,60,74,78,85,97,103,115,125,128,143,151,157,164,179,314,321,330,343,346,357,365,372,381,386,403,408,417,422,429,438,599,603,609,623,626,640,646,654,662,671,683,689,695,705,714,723,730,744,750,755,764,779,788,792,805,811,822,825,834,848,854,858,865,876,885,894,901,914,919,929,936,950,954,963,969,979,986,998,1009,1016,1026,1029,1043,1047,1061,1066,1072,1086,1095,1102,1109,1114,1126,1132,1144,1149,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,26,36,50,56,67,68,84,88,94,110,112,121,128,144,145,155,164,173,313,324,335,336,349,353,368,372,382,394,395,411,418,426,433,444,468,601,617,624,629,640,651,655,665,670,686,690,700,705,720,724,733,738,754,760,768,775,782,789,797,809,819,825,833,844,848,862,865,877,886,898,900,908,921,932,940,943,951,964,970,979,991,998,1006,1012,1020,1034,1041,1050,1054,1062,1076,1084,1093,1104,1105,1120,1129,1131,1139,1148,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,17,31,40,50,53,64,70,84,87,98,103,111,121,134,142,148,159,167,176,183,324,327,342,343,354,363,375,385,394,395,404,413,425,436,445,600,607,610,623,626,635,650,659,663,670,683,687,699,705,716,726,732,739,754,759,769,776,783,796,799,809,817,830,839,843,851,858,871,878,885,896,908,914,922,929,941,949,957,963,975,981,986,998,1005,1011,1021,1028,1039,1045,1059,1067,1078,1083,1096,1099,1112,1115,1123,1134,1143,1148,1158,1167,1177	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
5,12,19,27,41,49,59,64,69,79,88,98,108,118,126,135,142,151,156,162,171,318,324,330,340,349,352,368,370,379,391,402,406,416,426,433,443,597,607,609,618,634,642,649,657,665,676,685,691,700,711,717,724,732,741,753,758,770,779,785,790,798,810,815,830,834,843,855,864,868,878,888,892,902,915,923,925,938,946,958,964,970,980,987,1000,1009,1012,1026,1033,1040,1047,1054,1064,1077,1082,1088,1099,1106,1121,1125,1131,1146,1152,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,10,23,32,39,42,57,60,74,79,87,101,104,114,125,129,143,149,160,168,175,182,320,328,341,347,357,369,375,378,393,401,407,412,428,433,444,600,609,610,618,635,639,651,660,661,676,682,687,700,710,719,721,733,740,752,756,765,777,787,792,805,806,815,830,837,845,850,859,870,882,886,893,905,908,918,932,935,946,958,963,972,979,986,997,1007,1014,1022,1028,1037,1049,1061,1070,1076,1080,1095,1103,1105,1117,1122,1134,1141,1155,1163,1172	0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,17,29,39,44,58,64,71,79,90,94,110,119,123,135,141,145,160,164,172,180,322,335,339,345,359,366,377,386,392,400,411,415,428,436,440,599,602,613,622,631,639,645,654,665,672,682,693,700,711,719,723,729,741,746,757,768,772,784,794,805,813,815,826,839,847,853,857,872,877,890,893,902,913,922,927,934,949,958,967,975,983,987,998,1008,1018,1025,1035,1044,1049,1058,1065,1072,1083,1094,1104,1110,1116,1123,1131,1145,1155,1163,1167,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,8,17,28,41,47,51,67,74,80,88,101,105,115,128,132,142,148,155,167,174,188,323,330,340,350,357,363,376,384,395,397,405,420,425,435,439,461,606,613,623,632,643,649,659,668,675,683,689,696,708,719,720,732,738,752,760,763,779,786,796,798,807,822,824,839,846,856,860,867,878,885,895,905,914,918,927,939,949,952,963,968,978,989,1001,1008,1011,1025,1027,1039,1047,1053,1064,1073,1087,1088,1104,1105,1113,1127,1133,1142,1150,1164,1168,1173	1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,22,32,37,43,56,67,75,84,87,98,108,116,124,131,138,150,157,168,178,187,326,333,342,344,359,368,372,381,386,399,407,418,427,431,441,598,606,611,624,634,641,649,655,661,671,677,690,702,708,716,727,729,745,753,757,763,775,780,789,803,811,818,829,836,847,850,863,870,880,888,894,900,909,919,925,937,948,953,967,975,977,990,996,1008,1015,1025,1028,1042,1048,1061,1065,1073,1086,1092,1101,1112,1118,1125,1138,1144,1153,1162,1164,1176	1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,15,22,27,37,42,57,61,72,81,92,99,105,114,126,128,141,150,154,162,178,185,318,331,340,352,359,364,373,386,389,395,404,416,423,434,442,469,605,616,621,628,642,648,660,667,673,684,687,695,704,712,727,729,744,746,755,763,774,781,796,799,808,818,831,836,842,854,858,868,877,889,899,901,916,918,930,936,949,956,965,973,982,993,999,1004,1016,1023,1031,1039,1048,1057,1070,1074,1081,1096,1098,1106,1116,1123,1133,1140,1154,1156,1171,1175	0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,14,23,30,36,50,52,66,76,84,88,95,103,117,124,133,144,152,159,164,172,187,325,332,335,345,360,369,373,384,392,395,406,412,428,437,443,599,606,613,620,630,637,648,658,664,670,682,690,702,703,713,722,731,744,746,759,763,774,784,791,803,809,818,829,836,847,848,859,870,879,884,892,907,916,918,933,942,943,958,960,972,985,987,1000,1005,1016,1023,1032,1037,1049,1057,1067,1074,1084,1095,1104,1110,1115,1122,1138,1145,1153,1161,1166	1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,28,42,48,53,67,70,78,92,100,105,113,123,130,140,153,155,166,171,313,320,334,336,351,353,366,372,384,388,401,404,419,427,436,442,600,601,615,620,627,641,646,654,664,673,679,692,701,710,719,724,732,745,746,761,763,776,784,795,801,812,816,823,833,841,851,857,868,875,884,896,901,916,923,932,941,945,959,967,972,979,989,1000,1005,1014,1022,1029,1044,1050,1059,1062,1072,1083,1093,1101,1107,1114,1129,1138,1144,1151,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,19,27,38,45,55,63,70,80,90,98,104,115,123,129,137,149,156,170,178,191,318,330,343,350,360,365,376,381,392,397,404,419,425,436,443,467,604,612,621,630,637,648,659,663,675,680,693,695,704,716,727,730,740,747,761,764,780,785,793,803,809,819,830,833,841,850,864,868,875,890,899,903,910,923,926,939,950,951,964,968,984,986,1000,1006,1012,1026,1029,1038,1046,1061,1067,1073,1082,1094,1096,1107,1113,1122,1137,1146,1149,1159,1171,1174	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0
6,15,17,29,39,45,51,63,70,81,87,102,104,113,126,130,138,148,157,170,173,182,320,327,341,351,359,367,373,382,387,400,409,414,421,436,445,598,603,616,626,629,635,649,660,662,675,679,693,701,705,715,723,730,738,754,760,771,772,782,795,799,811,817,825,832,848,854,865,869,878,885,897,907,911,919,928,936,948,952,964,970,978,988,999,1004,1012,1023,1032,1038,1050,1055,1070,1075,1080,1088,1099,1111,1115,1130,1135,1144,1154,1156,1172,1178	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
7,8,25,30,39,44,59,64,75,77,93,98,102,115,121,132,144,147,157,166,172,191,325,332,339,350,355,369,370,386,387,397,406,414,421,430,439,450,605,612,620,629,636,644,659,663,671,683,687,701,711,713,725,732,740,747,755,764,779,783,793,805,807,821,827,835,843,848,865,867,875,888,894,900,915,921,926,937,944,952,960,972,977,990,999,1006,1017,1022,1034,1040,1051,1060,1070,1078,1080,1090,1097,1113,1119,1123,1136,1140,1148,1157,1167	1,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,15,20,32,41,48,57,65,76,80,93,96,108,118,126,134,139,147,155,164,171,183,321,332,342,344,358,362,375,379,387,396,408,413,428,431,445,599,604,617,625,635,637,650,656,661,673,682,691,702,704,719,728,736,741,748,755,767,775,788,789,804,814,818,828,835,844,854,861,867,876,888,899,904,908,924,930,938,946,954,966,970,979,987,998,1004,1013,1020,1032,1037,1049,1054,1062,1073,1082,1094,1100,1109,1116,1124,1130,1145,1151,1160,1168,1177	0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,17,26,40,48,58,64,69,84,88,101,103,115,122,134,139,145,154,165,172,187,323,333,338,349,356,361,370,380,387,400,411,419,427,430,441,599,606,615,620,631,636,648,658,665,671,685,691,701,709,713,728,735,743,754,756,771,775,782,793,798,809,822,829,833,840,851,864,868,878,885,893,906,911,924,925,941,950,951,967,971,984,992,1000,1002,1018,1020,1034,1043,1045,1059,1062,1078,1080,1087,1097,1107,1120,1128,1135,1140,1147,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,13,20,30,41,46,57,61,74,81,89,99,108,116,125,128,142,153,158,164,178,193,322,327,340,348,357,365,375,383,387,395,410,414,422,431,438,468,607,617,619,632,637,645,654,662,671,681,694,701,704,718,728,733,742,752,755,768,773,785,789,801,812,819,827,837,840,851,865,870,877,887,899,901,909,919,928,938,944,953,960,974,976,989,996,1005,1011,1027,1030,1043,1051,1059,1064,1070,1087,1092,1099,1106,1115,1126,1137,1142,1148,1163,1164	0,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
1,9,20,32,39,45,51,60,75,77,87,95,109,112,127,134,141,150,156,162,171,318,321,327,339,352,353,361,377,382,389,395,407,419,424,433,444,597,607,614,618,630,638,650,656,667,672,685,689,699,706,718,727,732,740,749,755,768,771,783,797,804,810,814,830,837,845,851,863,872,879,888,898,905,912,924,930,939,951,958,963,969,979,986,996,1003,1015,1020,1032,1037,1050,1054,1065,1072,1083,1092,1098,1112,1118,1129,1134,1140,1151,1161,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,34,37,44,55,61,72,79,92,94,104,111,126,134,138,145,158,167,178,313,321,335,338,345,356,362,374,386,391,395,410,420,425,431,440,467,605,615,620,628,643,644,654,661,675,683,693,701,709,711,723,735,740,752,760,770,778,785,792,799,812,814,824,832,846,851,865,867,874,886,891,900,913,918,932,942,950,954,961,974,981,990,997,1008,1015,1021,1028,1039,1046,1058,1062,1074,1085,1091,1104,1111,1119,1127,1133,1142,1150,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,27,37,49,53,65,69,81,90,94,110,112,127,135,145,149,161,163,175,317,319,327,339,345,355,362,369,379,388,398,409,412,424,435,439,458,607,610,621,633,639,652,655,666,670,684,686,703,710,712,722,735,740,754,760,768,777,780,796,798,806,814,830,835,843,850,857,873,876,886,891,902,909,920,931,935,947,959,964,971,976,986,995,1004,1012,1023,1028,1037,1045,1058,1063,1073,1079,1095,1101,1111,1118,1129,1131,1143,1148,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,29,34,43,52,60,73,83,93,100,110,113,125,135,139,148,155,168,176,318,323,329,339,352,359,369,376,383,395,402,411,415,423,430,446,600,603,616,621,630,642,645,660,664,671,682,691,695,711,716,727,736,745,754,755,770,772,780,789,798,813,819,826,838,845,851,864,866,875,890,895,903,911,920,933,935,950,951,960,976,978,989,997,1007,1015,1027,1033,1039,1052,1060,1069,1076,1082,1093,1099,1110,1113,1127,1137,1140,1155,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,17,19,25,40,50,55,63,73,83,90,99,110,117,124,132,139,145,159,164,171,318,324,334,340,348,357,363,370,382,388,399,410,419,421,430,444,452,603,614,620,631,636,648,659,667,675,683,689,699,703,717,724,735,739,754,757,770,772,785,795,800,813,815,830,833,842,850,865,866,876,884,896,906,909,917,931,942,945,956,960,968,984,988,999,1006,1014,1027,1034,1041,1048,1055,1068,1077,1084,1092,1099,1106,1116,1123,1137,1146,1150,1163,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,32,42,43,53,64,71,83,85,99,105,115,124,128,142,151,154,170,176,316,318,332,338,346,360,368,371,386,390,395,406,416,424,431,440,600,601,610,625,630,637,650,659,663,673,680,687,698,709,716,722,730,741,753,756,765,776,786,796,803,810,818,829,837,841,857,861,867,879,886,892,905,911,917,925,935,945,953,962,970,979,986,995,1004,1015,1027,1028,1041,1045,1056,1065,1074,1082,1088,1103,1109,1114,1127,1135,1146,1148,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,33,39,48,59,64,74,77,89,101,106,117,121,132,143,145,160,163,177,316,323,331,336,344,357,362,371,382,394,397,405,415,427,436,443,598,608,610,621,630,640,644,654,665,674,680,687,698,703,716,721,730,741,750,759,766,775,783,792,805,811,818,829,839,840,853,863,872,882,887,891,901,909,919,933,938,947,954,965,975,983,990,994,1009,1013,1027,1029,1042,1046,1058,1066,1072,1086,1088,1100,1107,1115,1125,1131,1143,1150,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,30,40,46,54,68,74,78,91,100,106,116,127,133,141,149,161,169,177,315,319,327,342,350,357,361,377,385,389,398,404,416,421,431,442,597,608,614,624,630,635,645,659,669,673,680,693,697,709,718,721,735,742,746,762,766,777,785,793,802,813,815,829,833,842,851,858,872,881,883,895,902,911,921,926,942,946,952,967,975,979,986,1000,1008,1014,1023,1033,1036,1046,1055,1070,1076,1082,1088,1100,1105,1116,1129,1132,1144,1152,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,32,36,50,56,63,73,82,90,100,106,114,126,132,140,150,157,166,175,181,324,333,339,352,355,365,371,380,388,399,404,412,428,436,443,598,604,614,621,627,640,647,657,663,671,684,689,699,707,718,723,731,738,753,760,768,773,783,791,801,813,822,823,835,846,849,862,867,881,888,895,903,913,918,925,936,947,952,960,969,980,989,993,1006,1015,1024,1031,1039,1049,1056,1063,1071,1084,1091,1099,1109,1120,1128,1135,1143,1151,1157,1166	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0
7,13,18,26,38,50,53,64,76,77,88,98,106,113,127,129,138,149,160,165,177,316,319,331,338,349,358,361,372,381,390,395,403,417,428,429,445,460,600,617,623,632,636,646,655,667,675,678,686,697,705,717,725,734,745,752,762,769,773,788,789,802,809,819,830,837,844,855,857,867,874,886,893,903,910,920,929,940,945,957,964,969,984,991,997,1002,1018,1021,1030,1044,1053,1057,1069,1073,1082,1088,1097,1106,1115,1130,1136,1142,1151,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,31,35,47,54,61,76,77,93,99,107,112,127,132,137,145,156,166,178,313,324,331,336,350,353,365,370,382,393,401,411,415,422,430,440,463,601,615,624,632,639,644,656,662,670,681,688,696,705,716,725,737,743,747,755,771,778,782,791,801,811,819,830,833,843,855,861,873,878,885,899,904,916,924,929,938,945,956,963,976,985,992,997,1010,1015,1025,1035,1044,1045,1055,1065,1077,1086,1092,1098,1110,1117,1123,1134,1145,1148,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,31,36,50,53,62,68,78,86,98,109,118,119,129,137,152,154,168,175,315,323,328,341,344,358,363,373,383,389,400,407,419,421,434,444,599,604,609,622,626,640,644,658,661,671,678,689,700,708,717,728,730,740,753,758,768,774,784,794,804,808,815,827,839,847,854,858,867,879,889,898,907,912,923,930,936,949,957,967,968,980,993,1002,1004,1010,1022,1028,1036,1049,1057,1064,1076,1084,1095,1104,1108,1120,1124,1132,1142,1148,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,32,38,43,52,59,72,80,91,101,105,112,122,136,143,150,161,165,173,317,325,328,336,344,357,365,370,382,395,401,406,415,424,433,440,596,601,610,622,632,639,647,658,660,669,684,688,697,707,719,721,734,742,747,758,763,774,785,789,801,808,818,826,838,846,854,865,868,881,884,894,903,909,920,926,935,943,954,967,972,979,993,1000,1008,1018,1022,1029,1044,1049,1059,1064,1074,1079,1088,1101,1105,1120,1126,1133,1144,1155,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,32,36,51,52,63,70,77,92,99,107,119,125,135,138,147,154,163,170,186,320,333,338,345,353,366,373,380,393,401,405,414,421,432,438,596,603,612,621,631,642,647,656,662,674,679,692,695,704,716,723,732,740,747,756,765,774,785,790,804,807,822,827,832,846,850,865,866,881,884,893,901,915,920,926,935,943,959,964,970,980,991,1001,1008,1018,1021,1033,1040,1053,1058,1064,1074,1083,1095,1101,1107,1121,1127,1132,1141,1150,1156,1167,1177	1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,23,32,42,43,55,60,70,85,92,94,109,116,124,135,143,149,158,170,173,317,323,334,335,344,358,368,371,382,389,396,411,416,423,435,442,455,608,612,618,634,642,643,660,664,677,684,689,699,711,712,721,737,745,751,758,770,779,783,792,799,814,822,829,839,845,848,857,868,877,889,893,901,909,917,933,936,945,953,967,971,978,987,996,1002,1018,1019,1031,1041,1048,1054,1069,1075,1081,1092,1097,1106,1113,1124,1135,1141,1151,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,19,29,37,44,55,66,72,83,90,100,102,112,124,131,144,150,156,168,171,318,321,327,337,349,355,361,374,381,391,399,405,413,426,431,441,599,605,616,621,627,641,645,652,667,673,682,693,698,704,715,725,732,737,749,754,770,779,782,795,800,812,815,823,839,842,848,863,873,874,888,892,903,915,919,929,941,949,951,960,972,981,986,994,1007,1015,1021,1034,1043,1049,1057,1065,1076,1079,1093,1100,1107,1117,1126,1137,1142,1151,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,32,40,50,51,61,75,77,87,98,106,114,127,135,144,151,156,166,177,315,322,334,336,344,360,368,374,384,388,399,407,418,428,429,439,463,603,614,618,629,636,646,660,663,675,682,691,700,705,717,721,736,739,747,756,766,776,782,796,801,808,815,823,837,843,856,857,866,880,886,893,902,916,925,933,936,943,951,960,974,983,985,997,1006,1011,1021,1035,1041,1046,1060,1069,1070,1082,1094,1098,1105,1118,1127,1135,1146,1150,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,22,27,37,48,59,63,71,77,93,102,103,113,122,132,141,148,157,168,171,316,323,328,339,352,357,367,376,384,391,396,406,416,428,433,443,596,607,615,618,628,637,650,658,665,671,678,688,703,709,713,728,734,743,751,757,768,773,788,795,799,811,821,830,837,847,852,864,867,880,887,899,906,911,925,926,938,944,957,960,975,977,988,1001,1005,1017,1027,1030,1042,1050,1060,1065,1072,1080,1095,1102,1108,1120,1123,1135,1139,1154,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,19,32,35,43,55,60,76,78,89,101,105,112,127,129,137,146,159,167,175,315,319,334,335,346,355,364,378,383,394,397,410,420,424,436,444,600,606,617,623,631,636,651,653,668,676,679,692,695,707,717,726,732,739,752,759,767,778,783,794,804,806,822,830,833,845,853,864,865,879,889,894,905,908,921,928,938,949,951,965,971,982,991,996,1007,1013,1026,1032,1040,1050,1061,1066,1076,1086,1090,1101,1109,1120,1128,1131,1145,1151,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,25,30,39,47,52,62,71,84,86,101,103,116,127,135,137,151,153,170,173,313,323,331,336,345,352,361,375,382,393,395,409,418,420,431,444,597,605,611,619,632,638,651,657,661,671,683,691,699,707,718,720,734,741,752,756,766,779,785,793,805,810,814,827,839,844,852,865,873,874,884,891,900,913,923,929,940,948,951,962,974,981,989,996,1007,1018,1019,1033,1038,1049,1058,1065,1077,1079,1095,1099,1105,1120,1126,1134,1144,1155,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,27,41,46,55,60,72,82,87,99,106,115,122,135,140,149,157,169,172,316,319,332,343,348,356,361,371,381,394,396,406,418,427,431,439,596,601,617,623,632,640,644,659,662,676,680,687,698,710,715,728,734,740,752,755,770,774,786,791,797,809,820,829,837,846,849,865,872,874,890,899,903,913,917,932,941,942,953,961,975,980,992,1000,1010,1012,1021,1031,1039,1051,1060,1067,1077,1085,1095,1099,1112,1120,1124,1133,1146,1152,1156,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,27,36,44,56,60,69,77,92,93,108,118,120,134,139,147,154,163,178,315,326,331,335,347,353,361,373,379,392,400,406,416,426,433,441,453,605,614,623,633,636,651,656,668,669,684,690,697,707,713,725,735,744,746,760,765,772,780,796,801,810,816,828,834,843,854,860,870,876,887,898,905,913,919,933,938,942,957,959,971,978,991,1000,1008,1011,1026,1034,1040,1050,1053,1063,1078,1080,1092,1098,1108,1121,1128,1136,1143,1148,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,28,37,49,55,63,76,80,89,95,107,119,125,130,144,152,158,164,173,314,322,333,341,349,352,366,374,380,386,396,409,419,423,436,442,596,607,610,623,627,643,644,655,662,670,681,694,697,709,712,725,729,743,752,759,766,775,788,793,798,811,816,831,837,844,854,862,865,875,887,897,901,911,919,927,937,950,957,965,974,982,990,994,1004,1017,1026,1035,1044,1050,1055,1068,1076,1081,1087,1102,1109,1120,1127,1138,1140,1151,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,28,40,45,56,63,68,78,90,98,106,117,125,130,139,146,158,165,175,318,319,329,337,344,353,361,378,382,393,396,409,416,428,433,441,451,605,617,621,634,642,647,657,665,669,679,689,698,703,718,723,733,742,746,756,767,776,782,790,800,809,817,823,839,844,854,859,873,882,885,896,904,914,918,932,940,947,952,965,976,984,991,1001,1004,1015,1027,1029,1041,1047,1059,1067,1073,1086,1087,1103,1111,1121,1129,1137,1146,1155,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,33,40,46,56,59,74,78,93,95,108,112,123,134,140,148,156,168,176,314,324,333,338,345,356,363,376,384,389,395,404,412,422,430,444,455,606,609,625,631,638,651,660,663,670,685,694,703,711,718,720,732,743,753,758,768,775,781,789,797,807,815,827,836,844,855,865,872,882,883,892,901,909,919,932,940,944,959,966,974,976,993,996,1009,1012,1023,1035,1042,1047,1053,1062,1070,1079,1089,1097,1109,1115,1124,1137,1139,1150,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,25,41,49,55,60,76,77,88,97,107,118,125,132,143,148,160,166,174,315,323,329,341,349,355,368,377,382,390,397,405,414,428,431,438,450,603,616,624,628,636,645,653,663,677,681,692,696,704,720,726,734,745,750,761,764,774,786,790,802,809,818,824,832,842,852,863,873,874,883,893,903,914,917,927,938,946,957,962,969,981,987,1001,1007,1014,1024,1029,1038,1047,1060,1067,1072,1081,1090,1096,1109,1121,1125,1133,1142,1154,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,32,36,44,56,64,68,79,87,100,104,113,123,134,144,148,156,168,171,181,320,332,336,347,357,365,374,386,391,400,406,418,421,429,444,599,602,609,620,630,639,646,654,663,671,685,689,698,707,712,720,733,743,752,757,766,777,784,794,805,814,819,823,834,842,850,863,867,877,886,891,906,916,919,928,940,949,951,960,973,982,986,998,1008,1015,1026,1034,1037,1048,1057,1065,1070,1083,1093,1101,1106,1120,1125,1138,1147,1155,1163,1168,1177	1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,16,25,33,34,44,56,61,70,81,93,101,110,119,121,129,143,152,158,170,179,313,324,332,342,347,359,367,373,381,390,398,407,416,427,435,440,599,605,616,626,629,636,649,658,662,671,680,691,699,704,713,726,734,740,751,761,764,771,783,790,804,813,815,827,834,845,853,860,870,877,890,892,900,915,918,927,942,943,955,959,972,984,992,1000,1002,1011,1026,1033,1036,1046,1055,1062,1076,1082,1095,1103,1105,1118,1128,1132,1139,1152,1156,1166	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,22,32,39,50,54,59,76,81,89,98,109,111,121,128,138,150,153,164,174,179,319,330,338,350,354,361,372,378,386,402,407,417,424,432,438,449,606,610,626,633,635,646,659,667,673,685,687,695,711,716,726,731,745,749,758,764,774,781,796,802,808,820,829,838,843,853,860,870,878,883,892,905,911,923,930,934,950,955,967,975,979,991,993,1002,1013,1021,1028,1039,1047,1056,1067,1076,1085,1089,1100,1111,1116,1126,1138,1147,1154,1160,1171	0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,17,32,41,45,55,65,68,79,89,94,109,116,120,129,141,148,154,170,171,182,325,331,337,344,357,362,377,382,388,398,411,419,421,431,444,596,607,611,621,627,641,648,654,661,676,682,689,696,710,714,727,735,738,751,758,770,772,788,796,798,812,817,823,837,842,854,860,871,875,889,898,905,911,922,932,942,943,956,963,969,982,990,994,1005,1012,1026,1034,1044,1049,1061,1068,1077,1081,1093,1097,1108,1119,1125,1135,1140,1148,1162,1168,1178	1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0
4,9,25,27,34,46,58,60,68,83,86,96,104,118,126,136,141,146,157,164,174,179,319,333,337,348,360,364,374,382,391,398,410,416,427,432,440,599,605,612,624,634,635,651,654,662,677,684,692,695,710,720,727,735,745,751,760,767,776,783,794,799,813,817,827,835,844,855,861,873,876,885,892,904,909,918,931,940,949,957,961,971,976,988,1000,1007,1013,1022,1028,1038,1051,1061,1066,1078,1085,1090,1096,1105,1114,1122,1133,1144,1151,1157,1167	0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
7,13,23,31,38,44,51,64,75,77,88,100,110,116,120,128,142,147,162,164,173,181,326,327,338,351,356,366,376,379,394,399,405,420,427,437,438,465,608,615,619,631,640,647,653,661,675,682,687,696,709,715,724,736,742,747,762,766,777,786,793,802,814,819,829,835,847,851,859,871,874,890,894,901,911,923,925,936,949,955,963,975,984,991,995,1007,1015,1021,1033,1044,1045,1059,1066,1071,1081,1094,1096,1106,1120,1125,1132,1147,1155,1156,1169	1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
5,15,19,33,36,50,51,66,70,78,86,94,102,111,125,133,141,150,159,165,173,180,320,328,338,344,358,362,375,383,389,397,408,413,421,432,438,597,607,616,620,629,642,646,659,662,674,683,689,698,704,718,726,735,743,752,755,764,776,787,796,805,808,818,824,834,844,850,859,867,876,886,894,903,910,924,927,938,942,958,961,974,978,988,1002,1005,1018,1024,1030,1042,1049,1055,1064,1077,1086,1094,1101,1106,1119,1128,1133,1141,1155,1162,1167,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,21,27,39,50,55,65,70,81,88,100,110,118,120,134,138,149,160,164,173,179,324,331,337,350,356,365,375,379,388,402,406,415,420,437,438,463,605,614,624,631,638,651,655,663,670,686,689,696,705,716,721,734,738,747,756,764,776,787,793,801,807,816,826,834,843,852,865,869,875,885,893,900,915,921,933,934,949,954,965,975,981,986,994,1009,1018,1021,1031,1038,1045,1056,1068,1075,1085,1088,1097,1109,1113,1122,1136,1139,1148,1161,1166	0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,12,18,33,39,49,53,63,71,77,86,94,106,115,127,135,139,147,162,165,178,317,320,333,342,344,354,362,375,378,392,395,407,415,426,429,445,466,602,611,619,634,643,652,653,669,676,679,691,695,704,718,727,731,741,751,761,765,772,784,795,797,809,822,831,839,846,853,858,869,880,890,892,905,911,920,933,936,950,956,964,969,977,986,994,1004,1011,1021,1034,1036,1051,1055,1068,1078,1079,1091,1102,1106,1120,1123,1131,1147,1150,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,31,39,49,52,66,70,78,85,99,108,115,119,130,139,151,157,167,173,180,319,326,340,350,357,361,371,384,390,403,411,418,421,436,442,470,602,609,623,633,642,646,652,665,671,678,686,702,706,713,721,732,744,750,755,765,772,781,790,803,809,820,824,839,840,856,862,870,882,889,898,901,916,924,927,938,945,951,966,969,982,989,997,1007,1016,1022,1028,1043,1048,1057,1065,1071,1084,1091,1098,1104,1116,1123,1138,1146,1155,1162,1172,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,17,27,41,50,58,66,70,77,93,100,107,113,125,132,142,153,162,167,170,179,323,328,339,348,358,367,374,378,390,396,411,414,422,433,442,467,607,615,618,634,635,651,656,664,672,685,692,699,704,713,721,736,745,752,760,765,779,786,790,802,812,815,828,834,842,852,864,867,880,886,896,906,914,921,928,940,948,954,962,971,984,989,1000,1005,1015,1022,1031,1036,1049,1061,1067,1073,1087,1088,1096,1110,1114,1124,1130,1145,1148,1158,1169,1178	0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,24,26,34,50,59,67,68,82,86,94,104,117,126,135,141,147,154,170,178,179,319,329,339,351,359,363,371,384,387,403,404,414,427,435,441,596,601,611,626,628,638,651,654,661,672,681,687,701,706,715,721,730,741,753,760,769,778,787,790,801,813,818,831,838,848,853,864,871,878,889,896,902,914,917,928,941,948,955,968,972,981,993,998,1006,1014,1019,1030,1039,1053,1061,1068,1072,1084,1093,1103,1106,1116,1122,1138,1144,1149,1160,1168	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
7,16,25,28,36,50,57,62,74,83,92,96,108,114,127,133,144,147,158,170,175,185,321,328,337,349,355,365,372,385,393,401,405,414,422,437,444,598,602,610,621,630,636,649,653,665,674,683,692,699,706,715,721,730,739,748,757,765,773,787,793,804,811,818,831,837,840,852,861,867,879,883,896,903,912,920,933,942,947,955,966,970,983,989,998,1002,1015,1020,1028,1039,1048,1056,1066,1075,1081,1091,1097,1105,1121,1123,1132,1139,1151,1161,1164,1176	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,24,28,40,45,56,60,70,81,87,94,104,112,126,129,136,153,158,170,175,183,320,327,340,348,360,361,369,378,391,396,409,415,423,431,441,468,604,611,624,633,639,649,655,664,674,679,691,698,710,712,723,733,741,748,761,766,776,780,789,798,808,818,825,836,847,857,858,870,875,884,897,904,910,920,928,938,947,953,961,971,979,992,1001,1005,1014,1025,1028,1042,1052,1054,1066,1073,1087,1090,1096,1110,1120,1127,1136,1146,1153,1159,1166,1176	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,10,20,26,41,46,56,62,70,84,92,94,110,117,120,131,141,149,155,165,172,181,324,328,342,349,357,364,376,379,390,403,411,413,422,429,439,458,607,617,620,628,638,647,658,660,674,679,690,695,706,716,723,733,742,747,762,763,777,784,789,799,810,815,826,835,841,849,860,865,881,884,896,908,914,921,931,935,944,951,967,973,985,991,995,1004,1014,1022,1028,1037,1049,1053,1068,1076,1084,1090,1104,1110,1115,1123,1135,1141,1150,1159,1167,1176	1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,10,19,31,36,46,58,65,73,78,87,98,108,116,120,129,136,145,162,163,177,313,326,328,335,346,354,368,373,384,393,401,408,419,424,437,438,596,603,610,622,626,635,652,657,664,672,680,692,702,704,720,722,733,740,754,760,770,772,785,794,801,813,820,823,836,846,848,858,867,875,889,896,906,911,919,931,935,944,958,964,969,982,988,997,1006,1016,1020,1032,1041,1052,1060,1068,1075,1086,1095,1097,1106,1114,1122,1136,1145,1155,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,28,39,47,59,63,69,83,85,95,110,112,125,128,140,146,161,162,171,316,319,329,337,350,359,362,376,384,387,397,405,416,428,431,441,596,608,610,626,633,635,647,660,666,675,685,693,696,711,718,727,730,742,750,761,765,773,787,793,798,808,821,826,836,843,855,857,867,874,887,895,905,915,916,930,942,948,955,961,972,979,990,999,1002,1017,1020,1031,1036,1046,1059,1064,1075,1079,1095,1100,1105,1116,1126,1138,1145,1152,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,31,35,50,54,62,72,84,90,99,103,111,126,131,144,148,154,167,174,318,321,330,337,351,355,367,370,385,391,395,403,417,423,435,438,450,603,615,620,631,642,649,658,669,671,682,687,696,710,719,728,730,740,754,761,771,778,787,793,802,813,822,827,834,848,855,861,871,875,891,897,903,916,923,928,938,944,953,963,975,980,988,994,1007,1017,1023,1035,1042,1048,1055,1064,1076,1086,1095,1099,1109,1113,1121,1135,1142,1155,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,27,40,45,54,68,69,78,93,95,108,116,124,130,138,148,159,167,175,315,321,332,343,348,354,362,370,384,390,402,406,416,422,434,439,596,604,612,620,629,638,648,657,667,674,677,687,697,704,715,724,733,742,746,762,767,776,786,791,797,810,819,826,833,846,856,861,873,880,887,895,906,914,920,933,934,946,951,966,968,983,988,998,1005,1011,1023,1033,1038,1049,1061,1065,1077,1086,1091,1103,1107,1121,1125,1138,1144,1148,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,25,27,36,49,59,62,75,81,93,94,105,119,120,132,142,148,157,163,172,316,321,328,342,346,354,368,375,384,394,401,410,412,422,437,438,470,601,612,624,634,637,649,655,665,669,684,694,695,705,719,721,733,739,754,757,763,772,786,791,798,809,816,825,835,843,853,857,871,877,889,896,901,909,919,925,935,950,954,964,975,978,986,997,1008,1013,1027,1030,1043,1048,1061,1070,1072,1079,1095,1100,1109,1120,1124,1136,1147,1152,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,19,28,37,50,55,61,74,85,92,98,103,114,124,134,139,147,156,169,178,317,319,331,338,348,353,363,374,380,389,403,404,412,427,431,442,596,606,612,619,626,642,647,657,667,675,684,694,701,703,717,726,731,742,751,754,769,778,781,796,802,805,816,827,838,842,852,863,872,879,887,897,901,910,921,928,934,947,955,961,976,983,987,997,1006,1011,1023,1034,1043,1046,1057,1066,1073,1080,1091,1096,1106,1115,1124,1137,1146,1152,1157,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,33,40,49,51,64,73,83,93,96,109,113,123,132,137,150,156,162,174,316,321,331,342,351,360,365,372,385,390,400,409,415,425,432,444,600,601,617,621,634,635,646,654,662,671,684,691,699,710,714,729,735,738,746,760,770,778,785,796,805,811,814,823,837,846,853,858,866,874,885,895,900,908,920,931,941,945,957,959,974,979,993,997,1010,1014,1023,1028,1037,1051,1058,1062,1078,1087,1092,1103,1107,1113,1122,1133,1142,1148,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,17,32,37,44,59,67,69,77,91,101,108,116,124,131,144,152,155,165,172,314,323,330,340,350,354,368,372,381,391,400,407,416,422,430,439,457,602,613,621,630,639,647,653,662,675,680,694,698,705,714,722,734,739,746,758,770,772,780,789,805,808,818,826,834,844,855,865,868,882,884,891,900,911,923,928,937,949,955,961,976,979,992,997,1008,1017,1020,1031,1043,1049,1061,1070,1076,1080,1094,1100,1110,1117,1127,1135,1143,1155,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,33,37,51,53,63,71,78,93,95,105,116,120,132,141,145,161,169,172,190,325,329,335,350,356,361,377,380,393,398,405,415,428,434,438,468,604,610,618,631,636,650,660,665,676,678,686,694,709,719,723,732,741,753,760,765,773,785,795,801,812,815,827,832,840,855,859,865,878,889,893,904,908,919,931,940,946,957,963,970,982,989,1000,1010,1013,1026,1033,1043,1046,1060,1069,1076,1082,1095,1100,1108,1119,1126,1131,1140,1152,1160,1172,1176	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,20,28,37,46,52,66,72,82,91,99,108,117,123,135,142,148,157,163,172,315,322,335,339,352,354,364,372,378,394,397,410,416,424,429,439,600,603,613,624,632,636,646,657,663,672,684,693,702,710,714,722,730,745,752,758,769,775,783,797,804,809,819,826,836,842,849,860,870,879,885,893,901,916,923,927,941,944,953,964,975,978,988,993,1005,1015,1022,1033,1041,1050,1058,1062,1077,1083,1091,1101,1106,1120,1123,1132,1146,1152,1159,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,31,35,46,57,64,76,78,92,95,109,118,127,135,141,153,157,162,171,314,323,331,338,346,357,364,370,380,390,401,407,412,425,432,439,599,606,609,620,627,639,649,654,661,676,683,692,701,707,713,725,732,739,747,758,763,775,783,796,801,806,816,823,837,841,853,857,872,877,889,892,903,911,918,925,935,942,952,967,973,982,990,994,1006,1016,1020,1031,1041,1048,1061,1063,1070,1085,1088,1097,1106,1113,1124,1135,1145,1150,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,26,40,44,52,68,73,83,86,95,110,111,125,130,141,153,155,169,170,313,322,334,338,352,356,365,370,384,387,401,403,419,428,433,440,599,603,616,625,634,636,647,659,662,672,684,689,698,705,719,721,737,741,754,755,765,772,786,794,799,805,815,823,836,844,850,859,870,882,883,896,901,916,919,925,935,944,955,963,975,980,993,994,1010,1016,1023,1030,1039,1045,1055,1068,1076,1081,1095,1097,1106,1118,1123,1138,1144,1155,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,31,37,51,57,66,74,77,90,102,107,118,125,130,138,150,161,168,171,315,319,329,335,348,359,362,372,381,394,401,408,416,422,436,440,596,608,615,622,634,637,651,658,666,675,678,693,695,706,713,722,732,742,746,754,765,774,783,796,802,813,820,827,836,843,856,859,870,880,886,899,905,911,921,931,934,942,955,964,974,977,988,1002,1008,1016,1020,1030,1039,1053,1055,1068,1075,1082,1090,1097,1111,1114,1124,1130,1146,1153,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,27,34,49,56,64,72,78,88,97,107,115,126,133,137,153,157,163,172,181,322,328,340,349,353,364,372,383,386,397,407,418,426,435,441,596,606,612,619,632,635,645,657,666,672,685,690,696,711,717,727,732,744,753,758,763,775,782,792,802,811,817,830,834,845,852,857,870,874,888,899,903,916,924,932,941,943,953,963,973,977,986,997,1010,1018,1019,1032,1043,1047,1061,1069,1076,1085,1091,1104,1113,1120,1124,1131,1142,1155,1160,1172,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,24,28,35,42,58,63,72,82,89,101,104,116,122,130,143,148,153,165,172,316,323,331,337,350,352,364,375,385,388,400,409,417,422,434,439,598,605,613,619,633,639,646,657,661,670,685,686,702,704,719,725,737,739,746,758,765,777,781,792,804,806,822,824,836,845,855,857,872,876,889,894,906,910,921,933,941,945,956,962,976,979,990,1000,1003,1014,1022,1031,1042,1052,1056,1062,1076,1084,1095,1101,1107,1115,1128,1135,1140,1147,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,20,33,39,44,58,64,75,80,88,101,109,115,123,129,139,146,154,165,178,314,326,330,343,349,358,369,373,385,393,395,403,414,427,429,446,470,602,616,622,627,641,648,653,667,669,682,691,696,705,713,728,730,739,748,757,764,772,784,792,799,808,821,824,840,842,852,865,867,877,884,891,904,910,919,927,936,943,958,961,969,981,991,1001,1004,1017,1026,1028,1041,1048,1056,1062,1070,1080,1091,1102,1105,1120,1126,1133,1141,1154,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,33,36,44,58,66,71,83,93,101,102,116,126,136,139,150,156,167,177,313,320,329,338,349,355,366,376,384,392,397,411,419,422,436,446,599,604,615,621,632,636,646,655,668,670,685,692,702,710,715,721,735,739,754,756,766,778,785,793,800,810,820,830,833,845,850,865,872,877,887,892,905,914,923,932,941,943,954,961,975,982,986,996,1009,1012,1020,1031,1041,1049,1054,1062,1076,1081,1089,1100,1110,1117,1126,1130,1143,1148,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,33,36,49,52,62,75,77,89,97,104,114,124,135,136,145,157,165,175,317,322,331,343,345,352,363,372,378,391,402,406,412,428,434,443,454,601,614,622,628,639,650,659,662,672,685,692,698,705,717,724,736,745,747,757,767,777,780,794,798,807,816,826,832,844,849,860,871,879,885,891,906,912,918,929,939,944,957,960,974,976,989,1001,1002,1012,1019,1030,1039,1052,1059,1062,1074,1081,1092,1097,1104,1114,1129,1136,1145,1148,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,21,28,36,51,58,62,72,84,90,101,103,111,125,136,140,153,158,165,177,315,324,332,340,345,359,361,377,385,389,399,405,414,427,437,438,596,604,612,620,630,638,648,660,665,675,682,692,698,706,716,728,731,741,749,757,764,773,784,796,801,813,819,823,835,843,849,863,871,879,883,895,908,914,923,930,941,948,959,968,971,984,992,1000,1006,1010,1024,1031,1038,1052,1056,1068,1070,1084,1089,1098,1110,1121,1126,1135,1141,1153,1158,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,33,38,43,52,61,71,80,86,101,108,116,126,136,139,149,154,166,175,314,319,329,338,345,358,363,372,385,391,401,406,418,425,434,438,596,607,615,624,632,637,643,653,662,673,683,688,700,710,714,726,733,740,748,761,769,776,784,795,804,810,816,825,832,848,850,858,868,881,888,896,902,911,921,925,940,947,951,967,972,982,986,997,1003,1018,1027,1035,1038,1050,1056,1066,1072,1080,1094,1102,1108,1114,1123,1131,1147,1153,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,27,42,44,56,60,74,77,93,98,105,116,125,132,144,152,161,169,173,315,324,334,338,347,354,363,372,378,388,400,404,419,427,436,442,465,607,613,618,629,635,646,656,666,670,680,686,701,709,712,726,736,741,748,758,767,771,785,789,798,813,816,831,836,841,856,857,868,875,886,894,908,910,922,929,941,947,952,967,968,979,993,996,1007,1017,1027,1035,1038,1048,1059,1065,1074,1082,1094,1099,1109,1115,1125,1138,1139,1147,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,29,39,44,59,64,69,84,90,99,105,114,125,136,142,152,160,164,174,315,326,327,336,350,355,366,375,384,389,402,404,420,425,434,437,468,606,611,623,631,639,645,657,662,674,685,691,701,706,715,728,730,742,751,761,764,771,781,792,797,805,814,831,833,842,855,865,873,874,888,898,907,912,921,931,934,944,953,965,970,984,993,1002,1010,1015,1020,1035,1044,1049,1055,1067,1073,1086,1093,1100,1107,1121,1122,1132,1141,1154,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,21,33,38,49,55,60,73,84,93,102,106,116,123,132,143,147,156,166,172,315,323,334,337,350,360,369,377,380,393,398,408,415,422,436,443,599,607,615,625,628,638,651,657,663,675,679,690,697,704,716,721,729,738,751,760,764,776,783,794,803,810,817,829,838,845,854,862,869,882,888,898,907,914,918,929,937,949,951,960,969,984,990,998,1003,1014,1024,1035,1040,1051,1054,1062,1071,1080,1089,1098,1105,1119,1128,1136,1145,1155,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,33,41,47,56,66,71,79,87,100,108,115,123,136,140,145,154,166,176,313,318,331,340,347,355,367,377,378,394,398,406,418,427,432,439,463,608,609,622,629,643,647,656,665,677,684,691,701,706,714,721,734,745,746,756,770,773,783,796,805,808,815,826,836,841,855,860,869,878,888,892,902,912,917,931,934,943,951,967,974,984,991,997,1009,1013,1025,1035,1041,1049,1061,1069,1073,1086,1095,1098,1106,1118,1122,1136,1147,1153,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,26,39,45,54,66,76,83,88,102,104,116,126,130,142,150,155,168,171,317,322,328,336,349,360,368,374,381,389,401,403,415,423,433,441,599,603,616,623,632,641,646,654,665,674,684,691,695,710,718,721,732,744,746,762,764,779,785,794,798,810,818,826,833,841,849,860,869,881,887,894,902,911,917,930,934,942,951,966,972,977,993,1001,1002,1013,1027,1033,1041,1052,1057,1066,1077,1080,1089,1100,1109,1118,1123,1136,1139,1151,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,29,36,43,54,66,71,78,89,94,103,119,127,135,144,153,155,164,175,317,322,334,337,350,352,366,372,379,392,403,411,414,426,430,444,461,605,614,622,632,643,647,656,668,671,684,691,699,708,717,727,731,738,753,759,765,773,785,792,798,806,816,825,836,843,855,861,870,882,883,896,901,916,925,928,935,943,958,966,975,980,992,995,1010,1017,1021,1032,1037,1051,1057,1068,1072,1087,1090,1103,1106,1120,1123,1133,1141,1152,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,28,39,48,58,60,75,84,93,97,106,111,127,129,138,145,154,167,177,317,322,332,343,350,355,369,377,380,393,402,405,417,429,435,440,455,606,614,622,629,639,645,659,667,672,683,690,695,711,720,724,733,737,746,761,764,779,785,793,801,813,815,826,836,842,849,864,866,880,887,898,902,910,918,932,935,943,957,965,972,978,988,995,1008,1013,1025,1034,1043,1047,1053,1065,1077,1082,1091,1104,1112,1115,1125,1133,1142,1148,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,23,25,34,47,59,68,72,79,88,96,107,114,126,134,142,147,155,166,172,181,322,332,340,350,358,366,375,381,388,402,411,414,422,429,440,599,603,613,620,631,635,645,653,668,674,678,687,695,709,712,727,730,740,747,756,771,775,787,790,800,813,819,831,833,845,850,863,872,881,888,892,906,911,923,925,935,950,953,962,974,981,993,1001,1006,1019,1021,1036,1040,1053,1055,1068,1074,1086,1090,1099,1112,1121,1127,1133,1141,1154,1156,1166,1173	1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,18,29,40,50,57,64,70,83,90,101,102,118,127,133,142,149,156,163,171,180,319,333,342,345,356,363,375,378,387,398,405,415,420,434,441,468,602,610,625,632,639,645,656,667,671,681,689,699,703,715,724,732,738,751,756,763,778,784,792,805,810,820,824,836,847,852,864,871,878,883,895,902,915,920,928,936,945,954,967,975,984,991,999,1007,1016,1026,1034,1039,1051,1054,1068,1072,1079,1096,1100,1110,1116,1125,1136,1145,1151,1159,1167,1178	1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0
7,12,22,28,41,49,57,63,68,77,85,100,104,111,127,129,138,150,154,167,177,184,320,330,337,351,356,368,376,383,393,400,407,414,421,429,445,599,607,615,625,630,635,649,653,663,674,679,689,698,705,715,727,734,743,748,762,770,772,782,791,801,810,821,828,836,846,851,863,873,875,883,899,902,915,920,926,942,949,956,964,973,981,985,993,1002,1018,1022,1029,1043,1046,1054,1064,1075,1085,1088,1101,1108,1121,1124,1132,1143,1152,1159,1166,1174	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,13,24,31,39,50,58,60,68,84,88,98,107,114,119,134,144,151,156,164,177,180,325,327,342,345,357,368,372,382,390,398,410,414,429,431,440,469,600,613,620,629,638,649,659,662,674,679,694,700,708,713,724,734,745,749,758,765,774,785,794,804,806,820,829,833,844,850,857,869,877,885,899,900,913,917,926,941,946,958,965,969,979,987,995,1003,1014,1020,1033,1036,1052,1061,1068,1077,1082,1091,1101,1104,1117,1125,1131,1141,1151,1158,1166,1176	1,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,20,27,39,43,54,62,69,83,90,100,110,116,123,128,141,145,160,168,178,199,321,329,343,344,358,366,376,384,386,402,409,420,425,431,438,469,609,610,623,630,642,643,654,667,676,684,692,699,709,719,724,730,743,753,756,769,772,780,790,800,808,815,831,834,845,854,860,869,879,885,897,901,913,924,933,939,947,957,962,975,983,993,1000,1005,1017,1024,1035,1037,1051,1059,1068,1071,1080,1090,1101,1106,1113,1127,1130,1139,1151,1157,1170	1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
1,13,18,26,37,46,52,60,72,80,85,97,103,113,122,136,142,145,162,170,171,180,320,334,341,348,360,368,371,380,389,400,406,415,428,437,438,457,603,612,622,634,640,644,655,661,671,681,694,695,709,716,726,737,741,754,759,769,773,780,794,798,813,817,828,831,847,855,862,870,880,889,898,901,912,918,927,941,942,957,963,975,982,990,994,1007,1016,1025,1029,1038,1046,1058,1067,1072,1084,1088,1098,1111,1120,1129,1138,1140,1150,1159,1169,1178	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,19,25,34,44,58,62,75,85,89,97,104,118,126,136,141,145,157,164,175,190,318,328,342,344,359,364,377,379,387,401,410,413,427,429,439,598,605,610,625,630,641,650,652,664,675,679,694,701,707,716,724,729,745,749,754,771,777,784,788,803,813,818,829,835,840,850,860,873,878,889,895,903,916,921,930,936,945,952,965,973,982,992,1001,1002,1018,1020,1032,1038,1051,1054,1068,1072,1084,1089,1103,1111,1114,1126,1135,1142,1148,1163,1170	1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,24,29,37,43,52,65,70,82,86,97,107,118,121,133,141,145,154,168,174,317,322,329,338,349,356,367,376,385,395,396,410,415,425,431,442,471,601,611,623,627,638,644,653,661,674,682,690,697,711,718,725,729,740,751,761,764,779,787,794,802,810,821,828,831,845,855,859,867,874,882,897,907,913,925,930,937,949,955,967,973,978,990,996,1003,1013,1024,1033,1042,1049,1057,1069,1073,1082,1091,1097,1112,1121,1122,1133,1142,1148,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,25,27,39,46,52,67,75,78,86,102,103,111,127,129,143,147,158,164,175,186,319,327,342,348,353,362,377,380,394,399,410,419,429,435,445,460,602,611,620,631,637,646,660,667,669,678,687,700,706,712,721,730,744,751,760,763,775,787,790,801,810,814,824,836,846,853,861,869,882,887,897,905,912,920,928,937,949,956,962,968,982,985,998,1004,1012,1020,1031,1038,1047,1053,1065,1073,1082,1092,1098,1110,1116,1125,1137,1142,1151,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,11,18,26,40,45,58,60,69,79,86,97,108,117,122,135,137,151,160,163,178,185,323,330,336,349,355,362,371,382,390,402,405,413,423,431,439,599,605,613,626,631,638,649,660,662,670,685,692,698,704,713,723,729,741,753,763,765,772,784,795,805,808,819,828,837,842,851,861,871,881,882,897,905,913,925,932,935,942,952,960,975,982,985,1000,1005,1018,1025,1030,1039,1048,1057,1067,1078,1081,1089,1103,1105,1115,1124,1133,1141,1147,1164,1167,1175	1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,14,24,29,37,50,59,67,68,76,91,101,110,118,126,132,139,152,161,163,175,193,324,327,336,350,352,363,377,383,389,395,405,413,427,434,439,457,605,614,620,629,641,648,659,662,676,682,694,700,704,713,726,737,745,748,757,765,776,786,794,801,809,819,828,835,841,850,861,873,878,884,891,900,915,925,929,941,946,953,965,974,980,990,1000,1005,1017,1020,1028,1043,1051,1059,1067,1077,1085,1088,1097,1105,1113,1124,1135,1141,1150,1158,1164,1177	1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
6,13,20,26,35,48,52,68,70,77,93,97,103,118,126,130,142,149,158,165,177,191,319,334,343,348,354,365,373,384,393,400,408,418,426,430,442,599,602,609,621,628,640,644,656,665,670,679,693,702,703,712,721,733,739,747,758,763,775,780,794,801,806,818,826,839,842,853,857,872,876,885,898,903,909,917,933,934,951,953,959,976,983,991,998,1010,1018,1020,1035,1038,1046,1061,1067,1070,1082,1093,1100,1107,1113,1123,1134,1145,1149,1160,1165	0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,24,29,41,44,55,63,69,84,89,101,107,112,121,133,141,146,161,166,173,314,324,330,343,347,355,363,372,380,390,402,405,418,427,432,442,599,602,617,625,628,641,647,655,668,673,680,694,698,710,712,725,731,741,753,757,768,780,781,796,805,806,815,830,838,847,853,857,870,877,883,892,899,909,924,932,940,942,958,963,974,979,990,997,1003,1014,1022,1036,1040,1048,1056,1065,1070,1085,1095,1101,1107,1116,1126,1136,1147,1149,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,23,31,34,47,59,65,74,81,93,99,106,114,123,131,139,153,156,167,178,194,321,334,335,345,357,363,370,384,390,403,410,415,427,429,444,596,606,615,618,631,638,643,653,668,673,682,688,696,711,713,725,730,740,750,755,766,779,783,789,798,813,816,827,833,845,849,858,866,878,884,898,903,911,917,932,939,944,955,967,968,982,988,998,1005,1014,1019,1034,1044,1046,1061,1065,1078,1087,1093,1104,1111,1114,1122,1131,1144,1149,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,23,26,40,50,54,64,72,79,93,97,107,113,123,130,142,148,154,164,176,315,322,333,340,351,359,366,378,383,389,402,403,418,428,434,443,597,604,613,626,632,635,648,654,667,672,684,692,698,705,720,725,731,740,753,759,766,772,787,795,802,811,816,828,838,844,856,864,873,877,883,899,900,916,919,932,942,943,952,963,974,984,990,996,1005,1012,1025,1035,1042,1046,1061,1064,1074,1082,1090,1104,1105,1119,1130,1136,1139,1151,1160,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,26,34,47,56,61,68,84,89,97,108,113,122,132,139,149,159,162,177,317,318,333,343,348,353,369,372,380,392,403,410,416,422,431,438,597,602,613,619,631,642,644,657,666,674,680,686,698,708,718,726,737,741,747,761,767,779,785,795,801,812,817,825,832,846,851,860,865,879,890,899,907,909,917,927,937,948,952,963,974,982,988,999,1010,1011,1023,1034,1041,1049,1061,1068,1078,1084,1092,1098,1112,1121,1129,1133,1140,1154,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,32,37,47,51,66,71,82,87,101,105,114,124,128,138,147,161,168,172,318,324,329,337,345,360,362,374,384,387,399,410,414,424,429,439,599,604,611,623,630,641,644,655,664,672,682,691,699,710,715,720,732,741,750,754,764,779,787,796,798,806,815,824,831,840,854,857,870,875,884,891,907,912,925,929,939,950,952,961,971,978,988,999,1007,1013,1021,1033,1040,1047,1057,1064,1071,1079,1090,1099,1105,1119,1128,1133,1146,1149,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,28,41,44,59,63,72,78,86,100,106,115,126,134,145,147,158,169,176,317,325,331,338,345,358,367,371,378,393,402,410,414,426,432,440,599,608,610,618,630,642,652,657,660,670,678,694,702,708,718,727,734,739,751,755,767,779,781,789,805,813,818,826,834,841,851,860,865,875,883,898,908,912,918,932,940,950,953,965,969,982,988,995,1009,1014,1023,1035,1041,1046,1055,1062,1075,1085,1093,1102,1113,1116,1122,1137,1142,1149,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,34,38,49,57,65,74,80,92,101,107,118,120,134,137,147,156,170,177,314,319,328,343,351,357,362,377,384,388,396,408,413,421,433,444,600,607,610,622,631,635,646,659,663,673,680,686,703,704,712,728,733,737,749,755,766,777,785,788,799,806,822,830,831,842,849,862,866,876,890,894,905,910,925,926,934,948,958,963,974,980,986,999,1007,1011,1023,1029,1044,1049,1054,1067,1074,1081,1092,1100,1113,1115,1126,1137,1144,1152,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,27,37,44,52,66,71,78,86,101,103,119,123,136,138,145,158,167,172,313,323,328,342,351,356,362,375,379,395,398,408,418,421,435,440,596,601,614,626,627,641,644,655,664,673,685,687,696,708,716,721,733,742,746,755,768,776,783,795,804,807,821,824,834,842,850,857,866,879,885,893,904,908,921,928,939,943,958,962,970,979,989,999,1007,1018,1027,1030,1044,1046,1054,1068,1075,1086,1094,1103,1110,1116,1129,1132,1145,1151,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,31,36,47,56,62,75,84,93,94,107,117,124,131,139,148,154,169,177,317,326,330,343,344,352,367,374,382,388,400,404,418,425,432,444,457,603,616,618,632,638,643,652,665,676,683,693,702,705,720,727,733,743,752,756,763,771,784,789,797,807,822,824,838,841,852,862,873,875,887,893,904,913,917,931,937,948,957,962,970,980,993,996,1005,1013,1023,1031,1038,1048,1056,1070,1074,1086,1092,1100,1107,1115,1127,1137,1142,1153,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,27,42,44,56,64,76,84,92,101,109,111,123,133,139,153,161,162,175,313,323,328,342,351,353,367,372,383,388,397,404,416,424,432,442,597,604,615,626,632,639,644,652,664,670,681,687,697,708,712,721,737,738,753,762,766,777,783,792,803,812,818,829,831,846,851,860,869,875,890,892,907,912,919,927,941,947,954,967,975,978,993,1002,1006,1018,1025,1035,1036,1047,1055,1070,1076,1082,1088,1103,1106,1114,1126,1138,1142,1148,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,32,38,47,56,67,74,83,86,100,104,116,121,130,143,151,154,166,175,183,325,329,336,351,358,365,371,383,393,399,404,419,423,429,439,596,601,615,618,632,642,644,656,665,671,681,690,700,708,717,727,734,738,753,760,767,780,782,793,800,813,822,824,833,846,853,859,873,882,888,893,903,909,917,930,935,947,951,961,973,982,989,1000,1004,1018,1020,1035,1040,1051,1053,1065,1074,1083,1091,1097,1112,1114,1121,1135,1140,1151,1164,1168,1174	1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,19,31,38,50,56,66,69,82,87,96,103,113,126,136,137,152,157,162,172,315,323,331,341,346,355,366,372,379,391,399,404,418,428,432,440,448,606,612,621,632,636,644,656,661,674,681,688,702,708,719,722,734,741,752,760,768,777,782,793,802,807,821,829,831,843,855,859,868,879,889,899,902,909,917,926,938,944,958,965,970,978,989,998,1006,1018,1023,1033,1040,1046,1058,1063,1074,1080,1091,1096,1107,1119,1124,1131,1146,1150,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,31,35,48,56,60,68,77,88,94,108,113,121,128,137,145,160,165,170,314,326,332,340,351,358,362,374,381,392,401,404,417,423,434,438,596,604,614,624,628,635,651,654,662,672,685,694,696,711,714,722,731,739,748,758,764,779,785,789,797,814,816,830,835,840,855,859,872,876,885,895,903,910,921,932,940,945,958,966,969,978,992,996,1009,1014,1019,1036,1042,1051,1061,1066,1074,1083,1091,1102,1111,1117,1125,1133,1142,1153,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,32,39,47,59,62,72,78,92,96,110,115,126,132,136,150,160,169,173,313,319,332,343,345,355,365,376,382,392,400,410,417,425,430,445,596,605,617,618,631,635,644,654,661,672,679,688,699,706,717,722,731,737,753,759,763,774,782,791,805,806,822,828,837,840,848,864,869,874,884,894,902,915,925,927,942,946,953,966,972,980,985,995,1005,1017,1026,1030,1043,1051,1057,1065,1072,1080,1087,1104,1106,1121,1123,1131,1140,1154,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,27,38,51,52,61,70,80,89,96,106,115,125,129,142,152,159,165,173,315,326,332,343,344,357,361,373,385,386,398,404,419,427,437,444,600,602,610,623,631,637,650,652,668,675,682,689,697,709,712,722,736,740,754,755,771,776,785,789,801,812,816,823,833,843,856,860,869,877,883,894,901,910,917,931,935,947,957,966,975,982,987,995,1002,1012,1022,1028,1043,1048,1061,1069,1070,1085,1089,1096,1108,1116,1124,1131,1143,1148,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,25,31,34,49,58,62,72,84,91,96,103,114,122,133,144,150,154,170,177,192,320,327,341,349,354,363,370,386,394,398,404,415,425,436,438,596,607,609,624,633,642,646,652,669,675,681,693,700,710,716,724,734,740,751,762,768,778,783,791,804,810,817,831,834,848,852,862,872,879,888,897,900,913,924,930,936,944,958,961,972,977,993,1000,1005,1016,1024,1036,1040,1048,1057,1070,1074,1087,1094,1096,1109,1118,1128,1132,1143,1147,1164,1169,1174	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,11,18,33,38,49,59,60,68,77,89,96,109,112,124,129,144,153,158,170,175,317,323,327,336,344,356,363,370,380,389,397,407,418,422,437,445,598,605,611,626,633,641,644,654,665,674,682,687,699,705,718,727,735,742,751,755,766,778,788,796,802,811,821,824,838,842,850,859,867,880,886,898,902,914,917,926,941,948,959,965,971,976,986,1001,1002,1014,1021,1033,1037,1051,1057,1070,1074,1080,1090,1100,1111,1119,1124,1135,1139,1149,1158,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,25,32,37,46,53,67,70,78,93,99,109,115,127,130,139,149,158,168,176,315,320,334,338,345,360,368,372,386,388,395,411,415,428,437,438,598,602,609,620,628,637,649,658,663,673,685,690,700,709,718,722,735,740,751,756,770,771,784,789,799,811,819,825,831,845,855,864,871,878,886,893,902,913,922,927,940,945,955,959,969,984,988,995,1007,1015,1027,1031,1038,1046,1057,1064,1072,1079,1092,1098,1109,1120,1123,1137,1139,1152,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,31,34,46,51,67,74,85,93,94,103,113,122,128,137,146,154,167,175,315,319,334,341,350,359,363,371,379,387,396,404,413,424,433,442,599,606,615,620,631,639,646,656,664,671,683,690,697,706,717,727,729,745,749,757,771,773,787,793,798,806,822,823,838,841,850,861,870,878,887,898,900,912,925,932,934,945,953,964,969,980,990,996,1008,1018,1027,1035,1043,1045,1056,1062,1073,1080,1096,1103,1105,1121,1129,1133,1140,1153,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,20,32,34,44,52,66,76,82,85,95,102,115,125,131,139,149,159,166,177,313,320,332,340,348,359,363,375,385,392,401,409,416,423,434,442,598,607,610,624,630,641,650,653,668,675,681,687,695,708,712,728,730,741,746,758,771,778,786,794,800,811,821,825,839,840,850,858,872,877,884,891,906,912,923,933,936,947,952,961,976,983,990,994,1003,1010,1022,1035,1042,1045,1059,1065,1074,1079,1090,1099,1109,1119,1123,1138,1139,1155,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,28,36,50,55,65,72,77,92,96,110,117,127,131,136,152,160,169,177,315,325,335,343,352,354,363,371,380,395,396,407,412,425,434,446,598,608,610,620,626,635,650,659,662,670,684,687,698,706,719,721,735,743,751,756,768,775,783,790,797,810,821,830,835,846,852,864,871,874,888,895,905,915,925,929,940,949,953,967,975,983,988,996,1005,1016,1027,1036,1042,1051,1059,1067,1076,1086,1093,1103,1110,1118,1123,1137,1143,1149,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,32,38,49,52,62,69,80,93,99,105,114,122,134,137,148,160,164,178,318,322,334,337,344,355,367,376,384,394,396,412,415,424,435,446,468,603,610,618,629,635,650,655,663,677,680,690,698,708,714,726,736,744,751,761,771,772,783,795,798,809,822,823,835,843,851,859,868,882,887,892,903,913,922,929,940,944,958,962,973,985,992,995,1006,1017,1022,1030,1043,1050,1058,1065,1077,1081,1090,1103,1110,1115,1125,1133,1144,1147,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,32,37,48,55,63,68,79,89,97,103,116,122,132,139,146,161,169,175,315,320,332,341,344,359,364,373,384,387,396,411,417,428,437,442,597,606,612,626,629,638,647,657,664,670,686,692,697,704,718,721,732,744,746,762,768,771,781,792,802,809,818,826,832,842,853,863,872,879,888,893,907,909,923,931,935,943,957,967,972,976,989,996,1005,1012,1025,1034,1036,1045,1061,1067,1075,1080,1093,1096,1110,1114,1130,1137,1139,1148,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,20,31,41,45,59,65,69,78,85,93,110,113,125,131,141,152,159,164,177,313,325,330,338,344,355,361,373,383,387,397,405,413,428,434,444,467,609,616,623,630,640,649,655,660,674,680,692,701,706,716,723,735,745,751,759,767,779,787,790,801,811,817,829,835,841,855,863,868,876,883,895,901,911,919,925,934,942,957,966,974,982,991,999,1008,1011,1024,1030,1036,1048,1057,1069,1074,1080,1095,1098,1112,1120,1124,1133,1141,1151,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,23,34,39,47,56,60,72,76,87,96,110,116,124,131,139,148,159,162,176,315,318,333,338,349,357,364,376,383,394,400,408,412,425,430,439,456,607,616,626,628,635,648,658,668,673,680,693,699,704,716,722,735,743,746,762,764,771,785,790,799,806,821,825,834,840,851,863,866,875,889,892,900,914,921,932,938,943,951,960,968,980,991,998,1002,1013,1022,1034,1041,1050,1057,1066,1078,1083,1092,1097,1111,1119,1124,1138,1146,1153,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,30,35,51,54,64,75,77,93,99,107,112,127,133,138,150,154,167,172,316,318,334,337,348,360,363,371,383,390,400,404,417,422,433,444,454,605,617,624,630,638,651,658,662,673,680,688,695,704,720,728,732,741,750,755,768,775,781,790,802,809,821,827,832,843,849,857,872,876,887,896,904,911,924,928,934,943,955,962,973,976,992,996,1006,1015,1025,1034,1041,1049,1059,1067,1078,1079,1095,1097,1106,1116,1124,1134,1144,1148,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,25,40,45,53,65,73,77,87,96,110,114,127,134,137,150,159,165,171,313,320,333,340,350,354,368,370,379,395,402,410,414,424,434,442,597,606,613,626,632,640,647,656,662,669,682,689,696,705,714,723,729,740,751,755,763,775,787,788,799,811,818,827,836,842,849,858,866,876,891,899,905,912,925,933,940,947,959,960,971,977,987,997,1006,1019,1021,1034,1036,1050,1058,1064,1071,1081,1089,1097,1110,1118,1129,1136,1142,1154,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,25,30,37,44,52,68,75,82,92,101,110,111,126,131,137,145,156,169,172,313,321,327,336,349,353,362,369,379,391,401,408,412,428,432,445,598,601,613,624,628,635,644,654,666,673,683,687,699,704,720,722,732,741,747,762,763,772,785,792,800,808,817,823,833,844,851,861,867,882,887,895,903,910,923,933,936,946,955,960,974,980,989,995,1003,1013,1020,1030,1042,1049,1055,1064,1072,1082,1095,1100,1104,1119,1129,1138,1144,1155,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,31,40,44,58,63,74,83,91,99,107,112,123,130,143,146,161,167,174,191,322,328,342,347,357,368,375,385,389,403,404,413,422,437,438,598,607,615,619,631,637,651,659,668,673,678,688,703,711,712,728,730,738,754,763,769,775,784,793,800,813,815,830,831,846,853,858,871,878,885,894,903,912,919,933,938,948,958,963,973,977,993,996,1002,1015,1019,1035,1039,1053,1055,1067,1070,1081,1088,1101,1110,1117,1122,1136,1144,1155,1156,1166,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
8,17,22,26,36,50,52,61,74,80,86,95,106,112,122,134,144,146,156,170,176,183,322,329,340,347,358,365,374,383,387,398,408,414,421,435,445,596,607,616,618,627,639,646,657,661,671,685,688,696,705,712,723,732,739,748,755,769,777,782,790,805,806,817,824,839,843,850,862,870,879,888,893,907,912,923,933,935,942,952,962,968,982,989,1000,1003,1016,1024,1030,1037,1046,1058,1064,1071,1087,1090,1101,1106,1115,1126,1136,1145,1152,1158,1165	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
7,8,18,33,35,45,51,63,70,77,85,96,106,114,124,132,137,146,160,163,178,203,326,328,340,348,359,368,372,385,386,396,407,415,421,435,442,463,604,616,618,628,639,647,660,665,677,678,687,698,705,718,727,735,742,752,761,763,777,784,792,799,808,815,823,838,848,854,865,866,879,890,893,903,913,917,933,939,948,953,963,969,979,991,994,1005,1015,1020,1029,1040,1053,1058,1069,1077,1087,1091,1102,1107,1114,1122,1136,1145,1149,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,21,29,42,46,59,67,71,83,88,96,110,114,126,136,142,146,159,167,174,179,325,335,338,350,360,363,375,384,388,403,411,420,427,436,439,462,603,610,622,627,641,644,652,662,676,684,688,701,708,717,726,730,744,748,761,766,779,781,796,803,814,816,824,838,848,852,860,873,877,887,894,904,908,925,926,938,948,953,961,972,983,991,995,1004,1011,1021,1031,1044,1053,1058,1063,1072,1085,1089,1097,1106,1115,1122,1138,1144,1152,1160,1165	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,9,17,26,40,47,53,62,72,83,93,98,108,111,123,130,139,151,154,167,178,182,318,332,342,350,360,369,373,385,388,399,404,413,427,430,442,596,602,615,619,632,635,651,656,663,670,680,690,698,703,720,723,732,738,747,757,764,775,787,795,803,805,814,823,833,842,856,863,873,876,884,899,904,914,918,926,937,946,955,966,971,983,990,993,1003,1019,1022,1029,1039,1046,1053,1070,1078,1080,1088,1099,1112,1119,1123,1130,1144,1147,1156,1171	0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,20,26,38,45,54,64,76,84,89,95,105,117,119,132,142,152,162,168,172,182,326,334,341,345,358,369,370,385,390,400,406,413,421,429,437,453,606,612,620,632,643,646,654,663,672,680,690,702,707,715,723,737,739,752,762,770,772,788,795,803,811,820,824,838,842,850,863,873,879,887,896,903,916,918,931,935,948,956,964,974,977,991,1001,1005,1010,1025,1035,1036,1050,1053,1062,1071,1082,1090,1098,1111,1116,1130,1133,1145,1154,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,17,32,41,44,59,62,74,79,89,98,108,111,127,128,138,153,157,167,170,180,322,330,342,350,353,363,376,383,389,400,411,413,428,429,445,598,604,614,618,633,641,644,653,664,671,682,691,700,710,712,721,734,737,748,761,765,774,783,793,798,808,821,828,839,847,855,857,873,879,889,896,900,909,921,932,938,948,954,966,973,981,988,999,1007,1017,1020,1032,1041,1048,1053,1066,1071,1082,1096,1099,1106,1121,1122,1132,1143,1154,1156,1167	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,11,22,32,36,46,52,65,74,83,93,96,106,112,125,133,138,151,160,167,174,193,323,329,336,345,357,362,373,385,394,398,404,419,422,432,441,451,606,613,618,634,642,646,653,666,676,684,691,696,706,715,726,733,741,748,755,768,776,786,794,804,809,817,824,839,844,852,864,867,876,890,898,907,911,920,933,936,944,954,964,972,980,991,997,1003,1017,1026,1033,1041,1048,1060,1069,1076,1082,1091,1104,1112,1120,1124,1137,1140,1151,1162,1164,1178	0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,11,18,31,42,43,54,67,75,79,93,96,105,112,127,136,141,150,154,164,174,313,321,327,339,350,355,367,373,379,391,401,408,417,424,430,440,597,603,610,620,634,636,645,652,666,670,679,687,697,704,714,721,732,741,750,760,767,772,780,789,801,812,820,828,837,842,850,858,866,879,891,894,902,909,921,929,937,949,955,964,971,980,985,999,1004,1016,1022,1032,1039,1045,1061,1068,1075,1084,1094,1097,1107,1117,1128,1132,1145,1155,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,26,40,44,52,63,68,80,85,101,109,111,127,129,137,153,159,170,177,316,325,332,336,344,358,361,370,378,392,398,404,413,427,434,440,600,605,611,624,632,639,649,655,662,671,678,693,702,706,718,725,731,739,751,757,770,772,788,796,802,808,815,828,838,840,849,860,865,879,887,897,901,909,918,929,939,942,952,965,974,983,986,996,1003,1016,1027,1029,1037,1046,1055,1069,1073,1081,1094,1101,1104,1113,1128,1136,1146,1149,1161,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
3,15,19,30,42,47,51,62,75,82,88,94,108,117,126,131,138,149,155,169,176,184,318,330,337,344,358,364,377,379,387,396,407,420,421,435,445,447,606,613,619,629,638,648,654,663,673,686,694,701,703,715,725,736,737,752,761,765,772,786,793,802,811,815,829,833,844,850,858,869,876,886,894,899,908,922,927,935,946,958,962,974,979,987,1002,1004,1015,1024,1032,1036,1050,1059,1068,1073,1084,1090,1102,1107,1121,1123,1135,1139,1154,1159,1168	0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,20,26,35,43,53,66,68,84,91,100,108,119,124,131,137,147,158,166,174,184,325,329,336,346,356,366,371,380,388,400,405,414,426,431,439,465,602,613,619,631,643,647,652,668,671,684,692,702,704,719,721,735,745,750,762,763,779,780,791,805,812,814,828,835,841,854,863,868,882,885,891,901,908,922,929,940,943,957,967,970,981,990,1000,1005,1014,1021,1035,1044,1046,1056,1070,1071,1084,1094,1101,1107,1118,1123,1136,1146,1154,1163,1166,1175	1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,24,30,34,47,52,67,74,82,93,99,105,113,126,129,138,145,159,162,172,188,320,333,339,348,357,363,369,381,389,400,406,418,427,435,443,599,607,617,622,635,640,646,657,661,675,685,688,696,704,715,726,735,742,746,758,763,775,782,791,798,814,815,829,832,847,849,861,868,882,890,895,900,914,922,925,940,946,957,959,968,984,990,997,1004,1010,1023,1034,1043,1050,1061,1064,1076,1085,1095,1099,1107,1114,1127,1130,1145,1151,1156,1165,1175	1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
8,9,20,29,42,45,56,65,69,81,90,101,107,112,126,134,139,149,157,166,179,185,318,334,335,350,359,368,371,378,389,403,410,417,424,432,440,597,605,613,620,633,637,646,657,666,675,685,687,694,704,712,727,735,741,748,758,767,773,781,791,804,806,819,828,838,843,853,863,866,877,884,892,901,909,922,931,938,950,956,960,971,982,987,995,1009,1014,1020,1029,1044,1050,1058,1069,1072,1081,1088,1100,1108,1116,1130,1136,1144,1151,1159,1168	0,1,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,19,26,40,46,55,64,75,82,90,101,107,111,126,135,138,150,156,162,176,186,318,334,340,346,359,366,375,384,393,396,405,413,423,435,438,470,601,617,624,629,641,650,660,661,670,682,688,698,711,718,727,734,741,749,757,763,772,787,794,798,810,821,824,834,841,849,862,868,877,889,894,901,915,921,930,938,948,957,962,973,981,987,999,1010,1011,1025,1031,1038,1051,1057,1066,1071,1079,1095,1097,1108,1118,1123,1136,1142,1150,1158,1169,1177	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,18,30,35,43,55,65,73,77,87,95,106,116,125,131,141,146,154,166,174,313,324,329,340,345,358,366,377,386,392,401,409,415,427,432,438,450,604,610,624,627,636,644,655,662,672,681,691,700,707,713,722,735,737,748,761,769,775,783,792,797,808,818,826,834,842,853,863,869,878,886,897,905,912,920,930,938,950,953,967,975,983,992,1000,1004,1011,1021,1030,1037,1046,1053,1065,1073,1086,1087,1100,1109,1119,1128,1133,1141,1149,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,30,42,49,57,67,70,78,93,95,110,117,126,133,143,145,161,169,174,313,318,332,343,352,354,363,372,384,387,395,411,415,426,430,439,466,601,614,620,634,639,647,655,663,676,680,694,701,707,712,723,733,742,752,762,765,772,782,792,798,807,816,830,839,840,848,857,871,881,887,896,906,908,924,926,935,949,954,963,970,984,986,996,1010,1014,1021,1033,1043,1049,1058,1063,1073,1083,1091,1103,1107,1117,1122,1135,1141,1153,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,24,33,36,50,52,60,71,81,91,95,105,111,124,131,139,148,162,168,176,316,322,327,339,351,359,366,372,383,394,401,408,416,423,434,442,465,602,610,624,630,637,650,653,666,677,681,688,696,704,713,720,735,741,752,760,770,779,783,791,805,811,816,825,838,847,851,860,866,882,883,893,907,910,918,928,937,944,958,961,971,981,986,995,1007,1015,1023,1034,1040,1050,1060,1067,1076,1082,1089,1104,1107,1120,1125,1132,1140,1153,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,27,36,47,51,65,71,77,86,99,105,113,119,130,138,149,159,169,177,315,320,334,340,352,359,362,371,379,389,395,405,419,426,429,441,599,604,609,623,629,639,648,658,668,672,681,692,702,705,714,725,732,745,753,760,771,777,780,796,797,812,817,830,838,846,852,858,868,877,887,896,901,909,922,931,942,947,955,963,971,985,987,1000,1002,1016,1026,1031,1037,1053,1058,1068,1072,1086,1088,1102,1111,1114,1124,1136,1141,1150,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,18,31,36,45,58,63,76,79,89,98,108,119,123,130,139,145,158,166,172,316,321,329,343,347,353,368,374,384,387,397,411,416,426,435,440,597,608,615,624,632,643,648,659,665,672,681,692,700,710,714,729,736,741,750,754,768,778,785,794,800,805,820,825,838,843,854,865,872,875,886,893,899,914,924,926,939,950,952,962,975,983,991,1000,1006,1014,1027,1033,1041,1047,1054,1064,1071,1085,1088,1099,1109,1115,1122,1138,1144,1147,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,26,41,43,56,65,71,84,86,99,103,118,125,135,141,147,156,167,171,313,323,331,335,346,357,367,376,379,391,403,409,414,422,432,440,599,608,610,618,627,643,644,654,661,670,685,690,699,710,716,725,730,738,746,762,771,775,782,794,801,812,821,823,831,840,848,865,873,874,888,895,907,914,921,926,939,949,958,963,969,985,989,995,1006,1014,1026,1033,1041,1052,1058,1062,1076,1084,1092,1101,1108,1115,1123,1131,1147,1149,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,27,36,48,52,65,76,79,86,95,102,115,124,133,143,145,157,168,173,315,318,331,336,351,359,365,372,384,388,397,405,412,428,430,438,461,604,615,624,629,636,649,652,666,673,681,691,698,703,715,725,732,744,748,761,763,773,785,793,799,814,819,827,832,844,854,863,867,874,886,891,904,915,918,926,937,942,956,959,976,984,992,996,1007,1010,1023,1031,1037,1047,1060,1066,1071,1081,1094,1097,1111,1115,1126,1137,1140,1151,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,29,37,45,56,67,76,83,87,99,109,112,122,128,137,153,156,165,173,317,325,334,341,349,355,361,376,384,392,403,405,412,429,436,444,599,607,613,620,631,643,644,652,666,677,685,686,696,707,712,721,736,744,751,755,767,779,785,793,800,808,820,827,839,841,852,861,869,881,883,895,900,915,924,927,936,945,956,965,968,978,987,998,1007,1016,1025,1034,1042,1051,1057,1069,1071,1084,1095,1097,1110,1117,1128,1136,1146,1153,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,21,27,40,46,52,63,72,83,89,98,106,115,120,133,136,148,161,165,172,318,320,329,340,346,360,367,372,385,387,398,406,412,426,434,446,600,606,616,618,631,636,645,660,668,672,683,693,699,710,717,728,732,742,752,757,766,778,783,791,805,812,821,824,836,844,856,858,872,882,884,894,900,914,920,926,937,948,958,966,972,984,987,993,1006,1014,1025,1029,1042,1051,1054,1063,1072,1079,1092,1101,1108,1113,1126,1137,1146,1151,1157,1164	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,11,20,29,36,46,54,61,69,80,91,97,110,111,123,130,141,150,159,165,171,314,319,329,341,343,355,365,374,379,390,400,406,416,427,431,446,596,606,609,622,628,642,644,659,664,673,681,694,700,706,718,726,735,739,754,759,769,773,788,789,800,812,820,823,834,843,849,860,873,878,884,897,901,909,925,932,937,948,957,965,972,983,985,998,1005,1011,1019,1031,1039,1046,1059,1068,1073,1079,1095,1098,1112,1114,1128,1132,1145,1147,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,29,39,44,58,67,69,78,86,94,107,119,127,131,141,149,159,164,177,314,319,334,340,350,355,364,376,381,389,396,407,417,420,429,444,596,608,616,622,630,642,648,656,665,673,680,688,695,710,719,726,735,740,749,760,764,779,783,793,800,809,820,829,838,841,853,857,869,874,883,897,901,909,924,931,938,949,951,965,975,982,990,999,1005,1019,1023,1032,1039,1045,1060,1070,1076,1081,1090,1096,1105,1117,1123,1130,1139,1150,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,25,28,34,49,59,67,69,81,89,99,105,115,126,131,138,151,158,168,178,313,318,331,339,346,360,367,374,378,390,400,405,414,425,436,443,465,607,609,620,630,636,647,659,666,676,685,689,702,705,718,728,733,742,749,760,766,772,786,792,801,813,815,828,838,842,852,861,868,874,884,893,907,908,918,930,936,943,952,964,974,979,990,1002,1010,1017,1026,1035,1036,1050,1060,1069,1074,1080,1088,1101,1111,1115,1128,1131,1142,1155,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,19,29,41,43,55,65,75,77,85,96,110,119,121,128,141,150,159,170,172,316,320,329,336,348,358,365,375,381,389,402,408,419,428,432,441,463,605,611,624,633,639,651,657,661,673,680,687,701,706,718,725,733,745,748,760,766,773,785,795,797,809,821,823,833,847,853,862,868,874,888,894,906,915,919,928,940,949,958,964,969,980,991,994,1010,1013,1019,1033,1044,1051,1057,1069,1075,1087,1092,1096,1108,1114,1127,1131,1145,1152,1157,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,32,38,45,55,66,74,83,87,97,108,119,127,133,136,145,156,169,172,186,323,332,337,350,358,367,378,381,387,402,406,413,427,436,446,467,609,611,621,630,638,646,658,668,669,679,690,700,706,720,721,733,740,752,760,765,779,784,791,800,812,821,825,834,842,856,864,873,877,891,899,905,908,922,927,939,943,951,967,975,979,990,998,1007,1016,1021,1033,1037,1045,1059,1063,1077,1085,1094,1099,1107,1119,1124,1134,1146,1153,1161,1168	1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
7,14,19,33,38,43,56,68,76,77,90,99,105,115,124,135,144,146,154,166,177,313,322,327,337,347,357,367,375,381,390,402,407,413,422,434,443,597,603,617,625,626,638,645,654,667,675,683,689,695,708,719,725,737,742,750,761,767,772,784,797,803,808,816,829,832,840,854,858,872,882,886,894,900,911,920,928,935,943,953,967,976,980,987,996,1008,1012,1026,1035,1037,1048,1058,1066,1077,1080,1093,1098,1104,1120,1124,1130,1145,1148,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,17,21,29,36,49,56,60,75,79,88,94,109,114,126,132,136,151,159,163,170,316,322,331,335,352,358,364,370,384,394,402,404,414,420,435,443,597,603,614,626,628,635,651,655,668,671,679,693,700,707,717,722,736,740,749,757,766,778,787,790,798,807,820,828,834,843,855,857,866,876,886,895,901,916,920,926,939,946,959,964,975,981,992,997,1002,1019,1024,1028,1042,1052,1061,1063,1077,1081,1096,1101,1107,1120,1129,1138,1146,1155,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,25,29,35,46,54,68,70,77,86,94,106,112,119,129,143,151,157,165,173,316,326,327,341,344,355,364,371,378,394,400,404,414,423,435,444,453,608,609,620,632,637,646,655,663,673,681,689,699,705,719,725,734,738,747,760,770,776,787,794,802,809,814,824,832,843,853,862,871,876,889,899,901,914,922,932,938,948,951,964,973,981,993,998,1003,1014,1024,1033,1042,1051,1053,1063,1070,1083,1090,1099,1108,1114,1129,1131,1146,1152,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,28,34,43,51,62,69,80,85,94,105,111,125,128,140,148,154,169,172,313,326,332,343,352,357,364,369,379,387,400,404,418,423,436,441,599,608,617,621,633,635,644,652,663,675,683,691,699,707,716,723,736,742,750,760,764,773,787,793,800,809,814,831,836,842,849,862,873,874,889,895,901,910,921,928,935,947,956,965,970,978,990,994,1006,1012,1021,1031,1042,1052,1055,1067,1071,1087,1095,1104,1107,1117,1124,1131,1139,1153,1156,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,21,33,41,46,58,61,69,79,85,102,107,119,125,136,137,146,155,170,174,315,322,334,336,347,359,362,374,384,391,398,408,416,427,436,445,447,607,612,624,628,635,646,660,663,674,681,689,699,711,716,728,731,740,752,759,768,778,786,795,804,812,814,824,837,845,850,864,873,877,887,891,901,910,920,928,939,944,953,963,973,981,991,994,1008,1011,1026,1029,1040,1051,1055,1070,1073,1085,1093,1100,1108,1114,1129,1130,1145,1153,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,33,36,43,51,60,71,84,89,99,109,112,121,136,141,147,158,167,174,316,325,326,340,349,354,368,375,380,386,399,405,418,422,431,441,600,602,612,624,634,635,646,660,667,670,682,688,698,709,714,722,736,743,750,762,763,776,782,789,801,813,822,825,839,846,849,863,866,882,884,895,904,909,920,930,936,947,958,964,973,984,992,997,1010,1012,1024,1034,1042,1046,1055,1068,1073,1082,1096,1102,1112,1120,1125,1134,1145,1147,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,21,33,35,50,55,60,75,77,89,96,110,114,121,134,141,153,158,166,177,313,321,331,340,344,353,364,369,385,388,402,406,413,421,437,444,596,607,613,620,631,639,647,657,663,671,684,687,695,703,713,724,731,742,747,759,765,774,785,790,805,811,822,829,835,846,853,861,870,876,883,898,899,916,921,931,936,948,954,959,969,983,987,996,1005,1018,1024,1028,1040,1050,1055,1069,1073,1081,1089,1102,1110,1114,1126,1137,1143,1153,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,29,36,46,56,64,73,80,87,102,110,116,127,134,144,150,157,165,173,316,326,329,343,347,359,365,371,383,388,400,411,416,422,432,442,460,605,612,619,629,640,645,652,662,669,684,688,697,705,718,721,731,742,747,758,770,778,786,792,801,813,816,825,832,843,850,863,869,880,886,896,904,915,923,925,938,944,954,962,971,979,987,1002,1009,1013,1023,1031,1043,1052,1059,1069,1072,1079,1092,1100,1108,1114,1122,1138,1145,1149,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,28,37,43,54,60,75,84,93,96,106,118,126,131,139,146,154,170,177,313,321,330,335,345,355,363,371,380,388,397,409,420,428,432,438,463,605,613,626,634,637,644,652,662,670,679,691,699,707,712,720,736,743,747,761,764,775,785,794,801,808,820,830,835,844,853,864,870,879,889,891,905,908,923,932,939,950,951,959,973,979,991,997,1003,1017,1024,1035,1042,1047,1060,1063,1075,1079,1089,1098,1104,1115,1129,1131,1146,1152,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,28,36,49,55,66,74,80,86,97,108,112,121,131,141,145,155,167,178,314,318,332,341,351,358,367,372,383,390,399,408,415,426,429,441,447,602,610,622,634,637,644,654,664,670,681,694,696,708,717,721,731,742,754,761,770,773,782,789,798,814,815,831,834,847,849,857,867,880,884,895,902,916,920,931,937,949,956,965,976,978,986,1000,1003,1018,1025,1033,1037,1047,1056,1067,1075,1086,1092,1102,1112,1118,1129,1132,1147,1152,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,27,40,44,58,61,76,83,89,99,103,115,125,135,141,149,154,164,179,314,321,330,341,350,358,367,377,380,390,396,410,415,426,436,445,448,604,609,621,633,641,646,657,661,674,682,692,697,706,713,727,736,745,750,761,770,772,787,792,801,811,816,827,837,841,852,858,867,882,885,894,902,913,921,933,942,949,955,968,970,976,992,996,1004,1013,1023,1035,1042,1048,1055,1064,1073,1079,1092,1102,1108,1120,1124,1138,1145,1155,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,21,27,38,50,53,65,76,81,90,99,110,119,127,130,144,148,161,170,174,318,320,327,337,349,356,365,375,381,388,400,407,418,428,432,444,457,607,614,622,634,637,645,657,660,677,681,689,695,707,713,723,737,739,753,761,765,773,784,796,802,808,816,827,836,846,853,858,871,879,887,897,907,912,917,926,934,948,956,962,976,984,988,1000,1003,1015,1022,1032,1041,1045,1062,1070,1072,1083,1094,1097,1112,1119,1123,1132,1142,1150,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,24,29,39,49,54,61,76,77,87,99,104,116,121,130,138,150,155,167,174,190,319,332,335,344,359,362,377,380,388,401,409,413,426,431,444,467,609,617,618,630,638,647,656,668,677,685,686,702,707,717,725,735,737,754,761,769,775,787,794,798,807,820,828,838,845,851,862,871,875,887,892,900,911,925,930,937,944,956,962,973,979,991,998,1005,1013,1021,1034,1044,1052,1061,1070,1074,1085,1088,1102,1109,1115,1122,1138,1146,1148,1163,1168	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
4,16,23,32,39,42,56,63,71,79,93,96,107,113,126,134,144,145,156,167,178,179,323,332,343,348,360,363,371,378,394,396,403,415,427,437,444,468,604,610,622,626,640,650,659,668,669,682,686,700,711,714,726,733,744,747,754,768,775,781,793,798,811,821,827,839,843,851,864,874,881,888,895,908,909,923,932,934,945,956,963,974,979,988,1001,1008,1014,1020,1032,1040,1052,1054,1068,1074,1085,1087,1097,1112,1119,1122,1137,1142,1150,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,19,30,39,48,55,60,73,78,88,97,110,115,126,130,141,146,159,167,176,184,322,333,335,351,355,366,369,382,392,396,407,416,421,437,444,596,608,616,618,632,637,644,657,663,670,682,686,699,710,713,728,729,738,749,758,770,776,785,791,803,808,815,826,836,843,851,860,868,877,887,895,901,913,925,932,938,944,957,967,974,984,991,1002,1004,1015,1019,1035,1037,1051,1053,1069,1074,1086,1095,1100,1107,1115,1127,1132,1146,1150,1163,1167	0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
4,15,23,26,40,44,51,67,74,81,86,95,109,117,121,134,138,146,160,167,175,194,320,332,342,346,352,362,376,386,392,402,405,420,424,434,444,466,608,615,621,631,639,650,657,666,671,682,688,698,709,712,720,729,742,747,758,768,773,781,789,802,810,818,828,835,843,852,858,872,880,888,897,905,913,920,928,941,943,958,965,968,982,985,996,1003,1011,1026,1029,1038,1048,1059,1063,1074,1082,1092,1097,1110,1120,1126,1137,1147,1154,1161,1166,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,18,28,42,45,54,66,74,81,88,99,102,113,125,131,144,151,154,169,171,180,324,332,337,347,355,368,369,386,388,402,410,419,427,434,443,600,609,615,625,628,637,644,652,660,676,680,691,699,706,713,727,730,742,746,757,767,779,785,796,799,810,820,831,839,840,852,863,870,876,883,891,905,911,920,925,940,949,957,961,975,977,987,999,1009,1015,1023,1034,1037,1051,1056,1062,1077,1085,1092,1101,1109,1121,1123,1137,1143,1153,1161,1168,1176	0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,18,31,40,46,57,62,72,81,93,101,109,115,123,130,141,152,159,162,175,180,321,333,337,345,353,369,371,380,389,400,407,418,421,433,439,467,601,613,625,628,642,647,656,666,676,686,687,700,709,713,727,737,742,749,755,765,779,780,797,798,808,815,825,837,840,848,863,868,881,889,899,900,916,919,931,935,947,953,962,969,979,986,994,1008,1017,1019,1031,1041,1047,1061,1062,1074,1084,1088,1103,1105,1118,1122,1130,1138,1153,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,25,26,34,43,54,61,74,78,87,100,106,118,124,128,139,151,153,170,171,190,325,332,339,345,358,366,372,385,391,399,403,419,426,433,444,599,608,612,620,633,640,646,653,661,677,678,691,699,711,716,725,735,739,746,761,768,778,786,791,801,807,817,824,836,841,849,861,869,879,883,893,903,916,918,926,942,948,958,963,969,983,985,999,1005,1010,1022,1032,1043,1045,1061,1070,1076,1086,1092,1098,1110,1116,1129,1134,1142,1153,1161,1168	0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0
5,12,20,31,38,43,59,61,76,80,91,101,104,117,124,136,138,151,154,166,172,315,325,331,343,351,357,362,377,383,386,399,405,412,426,435,445,600,603,614,622,628,636,647,656,668,677,681,689,702,711,712,721,733,737,751,761,765,779,781,795,805,809,818,830,838,842,851,863,865,881,885,898,905,910,918,928,938,943,952,967,971,977,986,994,1003,1013,1022,1033,1042,1048,1055,1070,1071,1079,1088,1101,1110,1118,1126,1134,1142,1155,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,10,22,31,40,51,54,60,73,83,85,98,110,111,121,135,140,145,154,169,172,318,326,333,337,349,358,364,372,378,393,397,411,419,425,432,439,597,609,617,620,630,636,646,658,662,672,679,689,701,710,712,724,731,741,753,760,771,779,784,796,799,810,820,828,836,842,853,862,867,877,883,891,901,908,921,927,934,945,959,960,971,979,992,998,1003,1011,1020,1033,1043,1050,1058,1068,1072,1083,1095,1100,1111,1116,1123,1132,1142,1148,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,27,40,46,56,64,69,77,89,94,110,118,124,128,138,147,160,167,171,181,320,328,342,348,354,364,377,385,389,395,404,419,428,436,439,599,603,615,619,631,640,651,656,666,673,678,689,695,708,713,728,734,742,749,759,770,780,788,794,799,807,818,830,836,845,851,864,868,876,887,892,904,913,924,929,938,947,955,959,971,980,985,994,1006,1011,1021,1029,1037,1048,1053,1068,1075,1080,1094,1104,1112,1121,1128,1133,1139,1153,1157,1166	1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,16,19,32,39,45,55,65,72,81,92,99,110,114,120,128,141,150,160,165,177,313,320,330,339,346,357,361,374,386,390,395,411,418,426,436,444,457,603,613,625,628,641,644,652,661,670,685,690,703,705,718,722,731,738,754,760,769,780,786,794,801,812,817,827,839,845,854,860,866,882,886,892,901,914,922,930,941,949,952,963,972,985,990,1001,1008,1015,1026,1034,1040,1047,1058,1068,1072,1086,1092,1101,1107,1113,1126,1134,1144,1155,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,23,26,36,48,52,67,69,82,89,101,109,116,121,132,137,145,159,163,174,201,319,333,336,350,358,361,375,381,392,403,406,415,429,434,444,599,609,615,621,633,642,649,655,665,672,682,693,699,703,716,727,732,738,748,756,765,772,780,796,801,807,815,825,838,846,854,865,868,882,889,897,900,916,925,926,941,949,957,963,972,980,988,999,1007,1012,1022,1028,1043,1045,1054,1069,1075,1084,1088,1100,1112,1121,1122,1137,1146,1154,1162,1169	1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,21,27,34,49,53,67,75,78,91,102,108,119,121,134,144,151,154,167,171,182,325,333,338,346,356,367,377,379,393,396,407,418,428,433,445,596,609,613,621,631,643,648,658,665,671,679,686,700,710,716,722,737,743,748,759,764,772,781,791,805,808,817,825,839,844,851,865,872,882,884,895,905,914,920,929,936,948,956,963,968,978,991,996,1008,1018,1026,1033,1043,1046,1059,1069,1073,1079,1089,1100,1110,1120,1126,1133,1140,1147,1164,1168	1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,22,32,36,50,58,59,76,79,88,102,109,114,121,131,141,147,158,168,175,180,321,329,339,349,358,368,374,385,387,401,412,416,426,431,441,455,603,616,618,633,642,646,653,660,672,681,694,700,709,715,728,736,743,753,761,765,780,786,789,803,812,815,827,839,841,853,859,873,876,888,895,901,911,923,931,938,949,959,966,976,977,993,996,1009,1013,1022,1032,1039,1046,1058,1063,1075,1084,1093,1102,1107,1118,1122,1133,1146,1154,1156,1166	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,9,20,27,36,43,59,66,76,84,85,101,105,113,127,134,136,152,155,165,173,183,319,328,339,349,355,367,376,382,390,397,404,415,429,431,438,462,608,616,621,634,639,645,652,666,676,683,689,702,707,719,720,736,740,746,763,771,775,781,795,803,810,820,830,839,840,852,861,871,876,882,893,904,913,922,928,940,945,954,962,971,979,992,996,1007,1011,1026,1035,1040,1050,1061,1067,1072,1081,1090,1102,1106,1117,1130,1134,1145,1148,1158,1168	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,22,30,36,50,51,65,74,82,86,101,107,112,126,129,142,151,154,163,174,316,322,332,341,344,356,364,377,379,394,403,404,416,427,429,445,600,602,612,620,627,636,648,656,660,677,680,688,696,707,713,728,730,743,751,756,767,773,780,791,803,809,821,823,831,847,852,862,870,878,890,899,906,910,922,930,936,946,955,961,973,977,991,1000,1009,1018,1026,1034,1039,1045,1056,1063,1072,1087,1092,1102,1108,1118,1128,1133,1144,1149,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,31,38,45,56,61,73,82,88,98,103,113,119,129,140,150,154,163,171,316,321,329,335,344,352,363,371,384,389,401,406,415,426,435,437,467,605,612,621,634,636,646,654,665,675,680,689,702,708,718,728,732,738,747,762,771,774,781,792,804,807,821,824,832,847,849,860,873,874,883,896,900,916,919,925,935,950,954,966,973,978,988,1001,1008,1016,1027,1032,1043,1050,1058,1065,1072,1080,1088,1100,1104,1113,1128,1137,1141,1153,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,21,29,35,47,58,65,70,84,88,96,102,115,121,134,136,152,161,168,175,315,319,328,340,345,358,364,374,379,388,400,405,416,423,434,438,599,602,616,622,629,636,649,653,669,677,685,686,701,707,713,720,729,745,747,761,763,771,784,789,798,808,819,824,833,840,850,861,870,881,889,893,905,911,924,930,934,942,958,964,973,978,993,999,1009,1019,1023,1031,1040,1052,1059,1069,1075,1086,1088,1102,1109,1116,1123,1137,1140,1152,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,31,34,45,58,61,69,81,87,101,103,111,125,131,143,150,162,170,172,317,324,334,339,345,357,367,371,380,392,399,412,419,423,437,443,453,608,615,621,634,635,646,659,663,672,678,689,698,704,719,722,733,738,752,756,771,774,784,794,803,813,818,827,835,847,856,863,874,876,884,898,905,913,921,926,936,945,956,962,969,978,986,996,1008,1013,1022,1033,1042,1049,1056,1068,1075,1085,1092,1097,1113,1117,1127,1132,1145,1152,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,30,34,49,54,59,70,77,92,101,104,113,127,129,140,152,154,165,175,314,323,329,337,347,353,366,369,385,388,402,405,417,420,432,446,597,601,610,622,633,637,649,658,667,673,685,688,695,704,718,721,734,745,750,757,770,776,780,791,798,808,821,827,838,847,853,861,870,879,885,892,906,911,925,932,936,950,958,964,968,980,990,998,1004,1011,1026,1033,1039,1050,1061,1066,1071,1079,1095,1097,1107,1120,1125,1138,1141,1154,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,17,28,35,45,56,67,76,81,92,98,103,112,122,131,138,150,158,162,171,317,325,335,339,350,355,362,374,385,390,399,404,412,423,436,438,597,601,615,623,632,638,647,655,665,674,681,689,700,705,714,724,730,742,748,760,771,772,785,795,799,812,817,823,839,842,851,863,867,880,889,895,904,908,921,927,935,943,955,963,976,977,990,1001,1007,1012,1026,1033,1042,1046,1056,1063,1074,1080,1093,1102,1109,1116,1124,1137,1147,1155,1163,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,30,37,45,59,66,69,80,88,101,107,118,124,129,144,149,160,163,173,317,323,330,339,345,353,361,369,381,393,401,404,420,421,435,441,597,604,616,624,628,638,646,660,662,669,685,686,702,709,717,723,731,745,752,762,765,779,784,789,798,808,817,830,834,845,849,864,870,875,884,896,906,915,917,932,942,946,952,959,971,983,993,997,1008,1013,1026,1031,1039,1047,1059,1070,1076,1080,1089,1098,1111,1116,1126,1135,1143,1148,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,25,27,41,47,54,65,68,81,86,102,105,118,121,135,144,151,156,165,174,316,326,332,336,349,356,367,369,381,393,397,408,418,425,435,442,598,602,614,626,634,639,647,658,666,677,678,689,702,704,714,727,732,739,748,761,766,778,784,791,798,806,818,829,835,845,851,864,873,874,890,894,902,912,922,931,942,944,953,963,975,980,992,995,1010,1012,1026,1032,1044,1049,1062,1068,1073,1080,1091,1101,1108,1115,1123,1136,1146,1150,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,22,27,34,47,56,60,70,80,89,102,108,111,121,131,139,147,160,168,174,185,318,328,339,352,358,366,370,384,389,399,408,415,427,435,443,600,608,611,625,631,635,650,653,665,674,683,689,695,705,718,723,731,743,749,760,769,776,786,795,805,806,816,826,838,848,855,861,866,878,889,898,904,908,920,928,935,949,958,960,973,977,985,996,1007,1014,1024,1031,1042,1050,1054,1069,1072,1086,1093,1100,1106,1117,1129,1136,1140,1150,1164,1165	0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,20,31,36,45,53,66,76,83,86,101,109,112,121,134,137,152,162,169,173,315,322,332,337,350,357,367,373,385,392,397,407,420,421,434,443,596,606,616,622,634,643,649,656,663,669,679,689,695,706,718,722,729,738,748,756,766,779,781,795,799,809,820,830,838,847,849,860,872,882,891,897,905,915,917,929,940,943,956,965,975,978,991,1001,1002,1019,1020,1028,1044,1050,1060,1063,1072,1086,1088,1099,1109,1121,1129,1132,1143,1155,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,26,39,49,51,67,73,77,92,101,108,111,119,135,144,145,160,162,175,314,320,335,342,348,359,366,373,378,387,397,409,417,425,432,441,452,603,616,626,631,640,650,658,667,670,684,686,695,710,719,721,731,744,752,758,766,773,785,795,805,810,814,830,832,841,852,865,868,875,883,899,904,909,921,929,941,945,953,967,973,977,985,997,1003,1013,1021,1031,1036,1051,1055,1070,1071,1084,1093,1103,1110,1116,1123,1133,1139,1152,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,17,30,39,47,52,63,68,79,90,94,107,112,123,128,144,152,160,164,175,315,321,327,343,352,353,366,373,380,392,397,408,416,427,435,440,599,601,609,625,627,641,647,658,662,669,681,693,701,703,717,725,735,741,753,760,766,772,788,793,798,808,814,831,833,844,852,864,873,881,888,899,901,909,924,933,940,948,955,961,969,980,987,999,1010,1014,1019,1031,1041,1048,1054,1067,1071,1084,1089,1097,1107,1114,1121,1135,1147,1148,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,33,42,45,54,63,72,78,88,96,110,117,122,135,137,150,153,162,171,318,321,328,336,349,357,367,375,383,394,402,406,417,429,433,445,460,608,612,622,632,642,650,653,662,677,682,687,695,709,715,726,730,743,753,762,770,775,787,797,804,814,817,826,837,846,856,865,872,874,888,893,905,910,918,928,938,945,957,966,972,977,987,1001,1002,1017,1026,1029,1039,1052,1054,1067,1071,1087,1093,1097,1106,1114,1123,1131,1143,1155,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,19,31,34,49,54,59,69,81,90,95,102,116,122,135,138,147,158,163,178,180,320,326,340,345,358,362,369,381,394,403,405,420,423,436,439,461,605,610,625,629,636,651,652,664,672,681,687,695,706,717,727,735,740,751,756,765,777,784,795,799,811,815,829,831,842,855,857,868,877,882,896,907,909,920,928,935,943,957,966,974,976,987,998,1007,1019,1020,1032,1038,1051,1059,1069,1075,1084,1090,1101,1111,1116,1129,1138,1145,1150,1159,1170,1174	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,11,19,28,42,50,56,59,70,77,87,95,107,115,123,134,144,150,154,162,174,316,321,334,335,347,354,362,377,382,390,398,404,418,426,436,444,599,608,617,620,626,637,647,652,664,671,683,688,700,707,715,727,735,743,750,760,766,772,786,794,803,810,817,824,835,840,855,860,871,875,887,898,901,914,923,932,940,948,958,968,971,984,989,1001,1008,1010,1020,1033,1042,1049,1054,1062,1078,1080,1094,1096,1110,1120,1124,1134,1147,1152,1159,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,22,28,37,43,52,64,75,81,85,100,106,112,124,132,145,147,161,169,177,317,323,334,341,349,354,368,376,383,388,397,408,415,423,430,445,598,601,616,626,629,642,651,654,661,669,683,689,699,703,717,726,731,744,751,754,768,774,786,796,804,808,816,824,835,840,855,861,869,879,890,898,904,915,925,928,941,943,951,960,975,976,988,1001,1008,1016,1020,1032,1038,1052,1056,1064,1071,1082,1095,1096,1108,1114,1127,1134,1139,1149,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,31,34,43,56,66,69,81,85,96,110,117,120,133,139,148,161,169,172,316,325,334,342,352,360,361,371,380,392,397,408,418,428,432,442,598,604,610,622,631,637,647,655,664,675,678,689,701,708,713,724,737,740,749,756,763,774,784,795,803,808,816,827,838,845,851,860,867,880,889,898,901,908,916,928,939,943,959,968,972,984,990,998,1005,1014,1021,1036,1040,1047,1055,1064,1074,1086,1095,1098,1112,1113,1126,1134,1140,1151,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,33,41,51,56,60,71,83,85,97,107,112,126,135,140,146,161,168,178,318,322,335,342,349,359,364,376,383,387,403,407,415,425,431,438,454,602,614,625,632,639,645,657,666,674,679,689,701,709,713,722,729,738,750,755,769,778,787,790,804,807,820,828,839,842,854,862,872,881,883,895,907,911,923,930,939,945,957,966,972,985,989,994,1003,1019,1024,1033,1040,1047,1055,1066,1075,1084,1092,1104,1105,1116,1121,1130,1145,1151,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,19,25,41,46,56,64,75,82,92,101,103,113,121,129,141,147,154,162,177,313,324,329,338,345,359,365,377,384,390,396,404,416,426,431,442,452,601,611,626,629,637,648,652,663,673,678,689,697,710,714,727,733,743,751,757,764,772,783,794,804,811,819,828,838,847,849,860,872,876,888,894,907,914,921,930,942,945,956,960,968,981,989,998,1006,1014,1024,1035,1041,1050,1057,1062,1073,1085,1091,1097,1105,1120,1126,1133,1144,1152,1157,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,29,37,45,57,62,70,76,87,100,106,119,120,132,142,150,162,164,177,314,323,335,337,345,352,362,370,382,389,401,407,420,425,436,440,454,607,616,621,626,640,644,659,667,672,684,686,698,710,714,724,731,741,747,761,764,773,782,794,801,809,821,824,832,841,855,865,870,876,884,896,902,911,919,932,941,943,957,963,968,982,992,994,1007,1015,1021,1033,1043,1046,1057,1069,1075,1081,1088,1102,1108,1116,1125,1136,1147,1152,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,30,39,45,57,65,75,83,86,101,108,117,126,130,139,150,156,165,173,313,324,328,335,349,354,369,377,384,394,396,407,415,421,435,437,449,605,611,618,630,640,649,655,668,673,680,688,703,707,712,722,732,740,749,759,764,774,787,795,799,809,820,823,837,842,849,858,869,877,887,897,908,916,924,927,938,945,953,961,972,979,989,994,1006,1011,1026,1033,1040,1051,1054,1067,1077,1079,1090,1104,1105,1116,1124,1138,1142,1149,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,28,36,42,57,65,76,83,90,94,103,114,121,131,139,150,156,163,174,315,326,329,342,345,358,361,371,383,387,396,410,417,428,433,446,471,603,609,625,628,640,647,655,660,675,678,688,698,709,713,728,729,737,746,755,764,779,780,796,799,812,815,827,837,842,855,865,871,880,886,893,905,908,921,925,942,943,957,960,968,983,992,995,1010,1019,1022,1029,1041,1047,1053,1064,1072,1084,1094,1098,1105,1114,1126,1130,1141,1155,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,25,41,45,59,68,75,84,93,94,108,115,123,130,141,150,155,167,178,315,323,329,340,348,352,363,369,381,387,396,409,413,426,432,442,598,602,610,625,631,635,648,659,663,670,682,688,695,708,713,721,732,741,747,760,765,777,780,796,798,813,821,824,839,843,849,864,867,879,888,895,902,908,922,931,939,943,955,961,972,981,989,1000,1004,1016,1019,1028,1044,1050,1059,1065,1074,1083,1091,1100,1113,1120,1126,1131,1140,1149,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,32,37,50,57,68,69,82,85,98,110,112,125,135,141,146,161,169,171,314,326,328,342,351,355,363,373,382,387,400,406,418,423,433,439,447,601,616,626,633,642,651,656,666,670,682,689,694,706,719,728,735,743,750,762,763,773,780,795,803,812,817,830,836,846,849,857,868,881,885,891,902,914,923,932,934,949,953,959,970,976,989,999,1008,1012,1021,1028,1042,1052,1061,1065,1070,1081,1092,1099,1111,1120,1122,1137,1140,1147,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,30,36,42,54,62,74,81,92,97,103,111,120,135,144,147,156,168,174,317,325,327,342,349,353,361,376,382,393,396,410,415,423,430,439,598,606,611,621,634,641,646,658,668,671,680,692,701,704,717,723,735,744,747,758,765,777,783,793,804,813,820,829,834,841,849,863,869,879,883,898,902,915,921,928,936,947,951,961,974,977,991,998,1009,1011,1027,1031,1041,1049,1053,1070,1072,1079,1087,1102,1109,1118,1128,1135,1146,1153,1162,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,26,40,50,51,63,68,82,86,94,108,111,123,128,138,147,159,162,174,316,319,332,341,349,353,366,377,386,392,400,409,417,425,433,441,460,605,615,625,631,641,645,654,666,670,684,688,696,708,714,727,733,742,753,758,765,776,783,796,798,807,820,826,835,845,855,863,869,878,883,896,901,909,923,929,937,946,956,962,973,977,992,993,1007,1013,1021,1036,1044,1047,1061,1067,1076,1087,1093,1104,1109,1113,1122,1132,1144,1149,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,33,41,45,52,62,69,80,90,94,104,119,120,136,141,147,160,164,174,180,318,332,337,346,352,367,370,379,389,401,409,412,421,435,440,458,605,616,625,634,636,647,653,668,670,682,690,696,704,714,728,734,744,750,759,767,773,783,793,805,809,820,825,832,844,853,857,872,878,888,896,902,911,918,928,935,947,958,960,970,982,990,1000,1009,1011,1021,1030,1042,1045,1055,1066,1078,1087,1092,1099,1104,1121,1123,1138,1141,1147,1162,1170	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,18,32,37,43,55,66,71,81,90,101,107,111,122,133,139,153,160,167,171,182,322,329,340,348,356,368,373,378,387,402,411,414,428,437,442,469,607,615,622,631,643,651,654,661,677,685,694,699,703,712,727,731,738,746,761,771,777,784,795,803,812,817,829,832,840,852,859,865,876,891,898,903,909,925,929,941,947,957,965,968,984,993,995,1002,1014,1026,1034,1037,1047,1054,1070,1073,1080,1095,1100,1109,1116,1124,1130,1147,1151,1164,1169,1177	1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,23,33,42,48,51,63,69,80,87,95,103,118,127,136,141,149,155,165,174,182,326,328,339,350,360,364,370,381,391,398,411,413,428,430,442,599,602,616,622,634,640,651,657,662,670,678,686,700,705,718,724,730,737,751,755,763,775,783,793,802,808,814,825,834,842,849,860,868,874,883,896,901,916,922,931,941,944,952,960,970,980,987,994,1003,1014,1027,1030,1042,1047,1059,1062,1071,1084,1089,1103,1106,1120,1128,1130,1147,1148,1156,1168,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,9,24,32,38,47,55,64,75,78,89,97,105,115,127,130,144,146,161,163,176,188,323,333,338,347,356,363,370,378,393,401,406,414,426,434,438,600,603,617,618,631,638,649,655,667,669,681,688,696,710,714,723,733,746,747,760,769,780,788,793,798,807,820,829,839,841,852,858,866,882,888,895,903,916,924,929,935,947,956,959,971,976,991,1002,1010,1015,1021,1029,1036,1049,1054,1068,1078,1081,1095,1097,1112,1117,1125,1135,1140,1149,1158,1166,1178	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,20,30,38,46,55,62,76,77,92,101,110,118,127,130,136,146,161,170,178,186,322,330,336,344,359,363,375,385,393,397,403,416,426,434,443,598,606,613,620,633,637,648,658,664,671,679,691,698,705,715,726,737,739,749,757,765,778,780,790,804,807,814,828,837,847,849,857,873,881,886,892,904,911,925,931,936,944,957,961,973,984,985,996,1006,1015,1019,1035,1042,1045,1055,1067,1077,1087,1096,1098,1109,1121,1127,1132,1141,1152,1162,1165,1177	0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,15,24,34,35,45,54,62,70,81,88,96,107,119,127,136,137,146,160,167,177,179,320,329,341,344,357,363,375,380,389,400,411,419,429,431,444,600,601,613,623,628,640,650,653,669,674,685,686,702,709,713,721,731,743,751,756,770,778,786,790,797,812,821,828,838,844,851,863,874,877,885,892,904,914,918,933,934,945,957,966,970,983,993,1000,1009,1018,1022,1034,1040,1051,1058,1070,1071,1082,1093,1096,1107,1115,1125,1138,1143,1148,1163,1166,1176	1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,18,33,34,48,55,63,74,79,90,99,110,111,124,135,143,152,158,169,178,191,322,328,337,346,360,366,372,384,394,396,404,418,425,432,443,597,602,617,619,631,639,651,652,664,675,679,688,697,707,716,725,734,746,749,761,771,774,787,797,798,811,821,826,832,845,853,861,868,878,884,891,904,912,919,929,941,945,953,964,969,980,991,1001,1010,1015,1024,1035,1038,1046,1059,1069,1075,1085,1089,1097,1110,1114,1124,1135,1139,1148,1159,1169,1173	1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,12,23,33,37,51,53,61,74,82,87,94,107,116,121,130,141,148,154,167,174,200,320,328,336,349,358,367,375,379,394,399,410,416,423,431,442,596,606,614,621,627,641,646,660,668,675,685,689,695,709,717,723,733,743,754,757,767,778,782,796,805,812,817,830,833,843,848,860,870,880,888,896,900,914,916,933,939,950,958,968,975,984,989,995,1004,1010,1025,1034,1037,1046,1056,1070,1078,1084,1094,1096,1109,1115,1124,1134,1144,1148,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,23,32,35,43,56,65,75,81,93,95,106,115,123,131,139,153,155,170,172,316,318,331,339,347,357,364,376,386,392,400,409,419,426,432,444,448,605,614,618,631,640,648,658,669,672,679,692,702,706,719,724,732,740,753,754,766,776,782,796,800,808,817,824,831,848,855,858,867,881,885,893,907,910,922,925,935,944,954,967,976,984,991,1001,1009,1013,1024,1035,1044,1048,1060,1069,1075,1086,1090,1099,1108,1117,1123,1138,1146,1151,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,18,31,41,44,53,61,71,84,90,100,103,113,126,130,144,150,155,166,174,187,326,327,341,349,360,364,376,378,389,398,406,418,423,432,438,596,607,611,619,633,636,644,658,668,675,679,687,697,706,715,723,733,742,746,760,765,776,782,791,805,808,815,824,831,847,853,862,869,877,890,898,906,909,925,929,937,944,951,962,971,982,989,1000,1008,1011,1021,1031,1038,1049,1057,1067,1076,1082,1091,1099,1105,1121,1122,1133,1143,1147,1162,1167,1174	1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,23,31,38,48,59,60,76,78,89,98,106,117,125,132,140,148,154,169,173,207,318,326,339,348,358,367,377,383,388,401,406,417,427,435,446,465,608,616,622,626,635,651,659,662,675,679,689,701,711,719,722,736,740,753,760,766,774,784,794,805,807,822,826,837,840,855,860,870,880,891,894,901,915,917,931,937,949,958,965,968,980,992,995,1003,1015,1022,1028,1040,1046,1054,1068,1071,1081,1092,1101,1108,1121,1125,1131,1144,1155,1162,1168,1173	0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,16,21,30,34,50,57,66,75,80,87,98,108,116,122,136,144,145,157,169,178,184,321,332,342,351,356,367,370,380,394,397,403,416,427,433,440,596,603,617,625,630,635,650,659,665,669,685,686,695,705,718,725,733,742,746,762,768,775,785,795,803,810,817,827,835,843,849,862,873,875,884,899,903,911,917,931,940,950,952,967,968,980,992,1000,1010,1018,1020,1030,1041,1050,1057,1063,1075,1085,1092,1103,1106,1119,1129,1137,1142,1154,1162,1169,1178	1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,31,42,46,55,66,75,80,91,99,108,112,124,135,145,147,157,168,176,180,325,329,336,346,359,364,371,382,388,396,409,412,420,432,441,599,603,611,625,630,635,646,655,666,676,684,692,702,703,720,722,732,739,752,759,764,771,788,794,801,806,817,825,834,844,854,863,867,880,889,897,903,916,921,932,942,947,954,962,968,980,985,997,1008,1010,1025,1031,1039,1051,1057,1065,1075,1083,1089,1103,1106,1113,1126,1131,1139,1151,1160,1171,1173	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,20,33,34,47,56,66,75,78,88,97,105,113,124,133,141,147,159,170,176,186,326,334,343,344,360,368,377,380,393,399,412,418,426,434,439,461,606,614,623,629,636,645,655,668,677,680,694,697,703,717,723,732,738,752,762,769,776,783,789,804,811,818,830,837,845,856,857,866,874,885,895,905,910,919,928,942,949,958,962,971,976,992,994,1006,1019,1024,1029,1041,1045,1058,1069,1073,1079,1092,1101,1106,1116,1123,1133,1140,1153,1161,1168	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
4,11,24,26,37,50,55,64,73,77,87,98,104,119,124,133,144,153,156,167,173,183,321,328,337,348,359,362,372,383,388,397,412,414,425,435,439,455,603,611,621,634,636,646,655,662,676,686,691,696,703,716,725,732,745,750,754,764,771,783,792,802,811,820,824,832,842,849,861,865,876,886,897,906,913,918,929,937,944,957,963,972,983,985,995,1007,1011,1021,1031,1043,1050,1055,1063,1075,1082,1089,1104,1112,1117,1129,1134,1144,1153,1161,1171,1174	0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,11,19,26,39,50,57,64,76,77,90,94,104,117,122,130,136,150,159,165,178,315,325,328,341,344,360,368,376,381,392,396,410,414,424,429,442,597,605,614,623,633,638,648,652,668,676,682,690,695,705,720,723,729,739,748,756,768,779,788,796,797,812,814,827,838,845,850,863,871,875,887,894,906,915,917,931,935,944,951,960,969,976,986,997,1007,1010,1023,1034,1043,1048,1061,1064,1070,1081,1091,1098,1111,1116,1122,1137,1140,1149,1156,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,27,41,50,53,64,69,77,85,101,103,117,124,132,137,145,162,165,178,315,321,327,338,344,357,363,375,380,392,395,412,414,426,434,437,450,608,611,623,628,641,650,655,664,671,680,694,699,711,714,727,731,743,746,762,765,778,782,789,800,808,814,830,838,846,850,861,871,875,882,894,908,912,918,933,941,945,955,966,973,981,992,995,1009,1013,1025,1032,1037,1047,1060,1064,1078,1086,1088,1103,1105,1113,1128,1131,1141,1149,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,29,34,44,55,67,71,81,89,101,106,118,125,135,139,151,154,169,178,313,324,333,340,349,355,368,377,382,389,397,412,416,426,436,444,596,604,610,625,634,642,644,660,667,674,679,694,696,708,716,723,734,740,753,757,771,778,781,790,805,807,818,826,832,840,855,857,872,879,883,895,904,915,917,927,937,950,953,966,974,981,988,1001,1004,1013,1022,1029,1038,1045,1055,1062,1071,1082,1094,1097,1108,1114,1124,1137,1147,1152,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,26,38,51,54,65,73,80,93,99,108,116,120,135,140,146,159,165,177,315,324,332,342,349,355,364,371,384,387,397,407,412,428,434,443,599,605,616,625,627,637,646,656,668,676,678,691,698,704,719,721,736,741,747,755,763,778,788,793,805,809,815,825,834,842,851,861,866,876,884,893,905,916,920,926,940,949,959,966,971,977,988,998,1004,1012,1022,1028,1042,1049,1056,1065,1075,1081,1094,1098,1106,1113,1128,1137,1146,1150,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,32,39,48,54,60,71,78,88,99,110,119,125,136,143,148,161,168,171,313,322,327,340,346,354,363,377,378,393,401,404,419,427,437,446,596,604,613,620,631,637,646,657,665,673,685,690,702,708,714,728,734,738,746,756,770,776,786,796,798,812,820,826,833,843,851,860,870,874,888,895,908,915,917,926,937,944,952,959,976,982,989,1001,1010,1012,1024,1031,1043,1052,1056,1063,1077,1082,1091,1103,1106,1119,1124,1132,1141,1149,1164,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,34,40,48,59,65,71,79,93,95,110,115,127,135,137,146,156,164,177,314,324,327,340,345,358,366,373,380,389,402,407,417,423,437,445,460,605,616,619,634,643,647,657,664,676,682,691,699,709,718,722,733,740,752,763,764,776,780,791,805,813,822,829,832,845,849,864,867,876,887,892,908,911,923,933,940,948,952,965,971,983,988,997,1005,1013,1026,1035,1038,1050,1054,1062,1071,1079,1095,1097,1111,1117,1130,1137,1145,1148,1159,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,32,37,44,51,64,68,84,91,94,107,114,124,131,143,153,154,169,170,315,321,326,343,346,353,366,374,382,390,395,411,419,421,431,439,469,604,616,619,633,635,651,659,666,672,686,687,696,709,720,725,734,741,753,757,764,772,784,790,800,812,817,825,831,840,855,857,867,881,883,891,904,915,917,930,934,948,958,960,971,980,986,997,1002,1014,1019,1029,1037,1052,1057,1063,1078,1079,1088,1102,1112,1119,1129,1134,1143,1148,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,18,31,35,45,54,62,72,80,87,97,105,115,126,136,137,147,155,167,176,313,322,327,338,344,354,369,371,382,387,403,407,418,428,433,439,597,602,613,619,632,635,645,652,668,674,679,688,703,708,715,722,731,738,753,754,767,773,783,796,797,812,819,825,835,846,857,862,870,880,883,895,906,915,920,931,942,949,957,959,975,978,990,996,1003,1015,1023,1030,1042,1045,1061,1065,1072,1083,1095,1101,1110,1116,1126,1133,1141,1148,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,26,34,48,53,65,71,80,88,101,105,111,119,132,139,151,160,168,171,181,318,330,337,344,358,363,377,378,386,402,407,416,428,433,439,598,606,613,625,631,641,647,652,665,677,679,688,699,705,719,722,735,740,751,762,763,774,782,792,800,809,815,830,832,844,851,860,871,877,884,892,904,915,923,929,939,946,954,967,968,985,990,1000,1008,1014,1021,1035,1043,1050,1058,1066,1075,1084,1091,1104,1110,1119,1125,1138,1145,1154,1156,1166,1173	0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,24,32,38,48,56,64,70,84,92,94,103,117,125,128,139,147,156,168,173,314,322,327,336,348,358,365,375,381,393,403,405,419,424,432,440,449,608,610,622,627,640,650,657,663,669,683,687,698,708,713,726,733,738,747,754,764,777,783,797,800,813,815,829,837,846,850,858,866,876,887,898,901,910,923,929,941,950,957,967,970,983,992,1001,1009,1013,1024,1034,1039,1047,1058,1069,1073,1083,1095,1104,1111,1119,1124,1134,1144,1155,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,17,28,41,48,56,62,74,79,86,97,110,117,123,132,138,151,156,163,171,314,323,333,336,347,354,364,374,381,394,398,404,418,424,435,443,453,603,611,618,629,635,644,656,663,669,679,691,698,703,713,722,737,744,749,762,769,779,782,792,799,812,818,825,838,844,853,865,873,878,884,891,901,915,921,926,939,943,956,960,968,976,985,996,1010,1016,1022,1030,1037,1048,1055,1062,1075,1083,1095,1099,1107,1119,1125,1137,1145,1149,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,25,42,50,56,66,73,79,86,100,109,116,122,136,142,149,153,163,174,314,322,335,341,351,357,362,370,381,391,397,405,415,427,437,439,597,609,616,624,634,636,645,660,668,673,678,693,699,707,715,721,734,745,748,758,764,775,788,792,805,806,816,823,838,840,851,859,865,881,885,893,906,912,925,933,935,943,956,962,968,981,989,999,1009,1018,1025,1034,1044,1047,1060,1068,1076,1083,1093,1103,1107,1113,1123,1133,1140,1148,1162,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,27,39,50,59,66,74,83,92,101,105,115,125,128,141,145,153,170,176,317,322,327,341,344,360,366,372,385,388,396,405,413,429,434,438,596,609,617,622,634,642,648,655,663,674,679,689,700,710,712,723,734,738,751,761,769,776,785,791,804,809,819,826,834,846,853,857,866,881,887,894,905,912,919,933,935,951,956,959,968,980,991,995,1002,1017,1024,1034,1044,1050,1054,1065,1074,1081,1089,1097,1112,1118,1124,1136,1146,1150,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,29,41,47,57,64,69,77,92,98,109,119,121,128,143,146,153,164,175,180,320,334,343,344,356,366,374,383,393,403,410,415,425,434,438,600,606,614,618,631,635,644,658,665,675,685,691,699,707,715,728,729,739,752,755,765,775,787,791,799,807,815,827,834,847,856,863,870,882,889,896,902,912,924,926,940,946,954,959,975,984,985,999,1004,1016,1027,1032,1038,1050,1055,1065,1074,1085,1093,1097,1108,1117,1127,1134,1145,1152,1164,1170,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
4,11,23,30,42,47,52,67,71,83,88,97,106,116,126,130,139,149,157,168,178,315,325,330,335,345,359,365,376,379,390,397,404,419,421,437,441,596,603,614,619,631,641,645,656,664,676,683,687,700,711,715,727,729,743,749,761,765,779,785,793,800,806,815,824,839,847,849,863,867,882,885,895,903,914,922,927,938,945,958,966,968,980,992,995,1005,1018,1019,1030,1044,1046,1056,1062,1076,1084,1088,1102,1108,1116,1123,1131,1144,1154,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,26,36,49,57,63,74,78,87,95,106,112,123,135,139,150,154,168,172,313,325,330,343,349,352,364,370,385,391,399,406,417,427,430,442,457,605,609,623,630,638,645,660,663,674,685,688,700,703,713,728,734,739,747,761,771,774,780,795,799,807,817,827,837,844,854,858,873,875,888,897,902,913,922,930,938,949,952,963,976,984,987,999,1003,1015,1022,1029,1037,1045,1055,1067,1078,1081,1088,1104,1107,1120,1122,1134,1145,1148,1164,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,18,28,42,43,52,66,76,77,86,100,110,119,120,130,139,150,156,164,172,314,319,334,343,345,352,361,369,380,388,403,407,419,427,437,443,600,604,612,619,631,641,647,659,669,670,684,688,703,705,712,727,732,742,748,758,766,776,781,793,798,809,817,824,839,846,854,860,870,876,891,897,901,916,923,931,941,945,957,962,970,979,985,996,1006,1016,1026,1028,1038,1046,1055,1063,1071,1085,1091,1103,1104,1117,1124,1137,1141,1154,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,30,39,50,51,61,72,79,92,100,105,115,127,132,140,148,155,168,171,316,318,331,338,347,352,367,373,384,389,396,405,417,425,433,443,466,603,616,620,630,635,651,657,666,670,680,689,703,710,712,722,730,742,752,757,766,773,782,790,799,810,815,831,834,840,850,863,873,880,889,893,903,913,922,926,937,946,958,960,969,981,985,997,1008,1013,1020,1036,1040,1047,1057,1062,1075,1082,1094,1100,1106,1120,1122,1130,1140,1155,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,24,26,37,50,58,66,69,77,91,94,104,114,123,134,142,145,157,164,172,313,321,334,340,349,357,362,372,381,390,401,405,412,427,437,439,463,607,610,622,629,635,645,656,668,677,684,686,702,711,713,722,732,744,753,757,768,778,785,789,801,813,820,823,836,843,856,857,867,880,884,898,905,912,923,931,940,943,953,964,975,984,991,994,1003,1018,1025,1028,1037,1046,1059,1069,1072,1084,1092,1104,1110,1121,1127,1130,1140,1151,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,26,38,48,54,66,70,76,92,98,105,115,126,134,139,145,154,166,171,313,326,333,342,345,359,369,371,378,391,396,407,419,421,436,439,599,605,612,621,630,638,646,658,665,675,683,691,699,703,717,723,734,737,746,760,768,776,783,792,805,810,821,831,838,843,848,859,872,879,883,894,904,912,920,933,937,950,955,959,976,980,992,994,1008,1017,1020,1032,1042,1047,1055,1063,1078,1080,1092,1099,1107,1116,1124,1131,1140,1152,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,17,27,36,51,56,61,70,77,87,100,108,119,128,133,143,145,157,168,175,313,323,331,339,350,359,366,374,380,389,402,406,412,428,432,440,453,602,612,618,626,641,651,656,665,674,680,688,702,707,719,728,732,739,754,762,768,776,782,795,804,814,820,828,832,844,854,863,870,879,884,894,905,910,925,930,942,946,956,964,970,983,991,999,1009,1014,1024,1031,1043,1046,1057,1063,1077,1080,1096,1104,1112,1120,1122,1136,1146,1148,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,29,36,46,52,63,75,81,86,99,109,117,124,134,137,150,159,168,172,317,323,334,342,344,355,368,371,380,391,402,409,417,423,431,439,596,605,613,621,632,638,643,655,664,675,683,691,700,706,718,725,732,740,749,754,764,778,781,790,800,811,819,825,833,845,851,859,872,877,888,892,900,915,924,932,935,946,954,961,971,980,988,998,1010,1013,1023,1029,1037,1051,1060,1066,1076,1079,1090,1103,1106,1118,1128,1138,1142,1151,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,27,39,46,58,67,69,80,93,94,107,112,125,132,143,152,156,169,177,314,326,328,343,348,354,365,370,382,387,397,411,414,426,432,443,466,603,617,626,631,638,647,653,667,675,682,692,699,707,715,726,737,741,748,760,767,778,787,796,798,809,822,827,835,845,849,864,871,882,884,895,906,909,919,931,941,947,951,962,972,982,992,996,1007,1013,1026,1036,1039,1049,1060,1067,1076,1081,1095,1097,1105,1118,1126,1135,1144,1155,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,20,31,36,44,51,64,69,82,92,96,104,118,125,128,140,152,156,168,177,314,323,335,340,344,353,365,374,379,394,398,410,417,429,430,446,599,606,611,625,628,642,649,652,665,669,680,686,702,704,718,728,730,739,749,761,771,780,782,790,798,810,814,824,838,844,851,859,868,878,886,896,902,909,917,926,935,944,958,962,970,983,987,996,1009,1018,1023,1028,1036,1051,1061,1064,1077,1086,1094,1097,1111,1119,1130,1131,1143,1153,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,31,36,50,51,60,75,77,87,100,110,111,121,131,141,145,161,170,176,317,326,331,337,345,357,364,376,383,395,403,410,413,425,434,439,599,605,609,619,633,641,643,657,669,670,682,686,699,705,718,721,731,746,749,761,769,772,785,791,801,813,815,824,835,840,851,860,866,877,889,891,902,910,919,930,938,945,956,960,968,983,986,998,1004,1018,1026,1036,1040,1052,1059,1066,1076,1084,1091,1101,1110,1120,1126,1137,1145,1151,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,25,41,45,55,63,70,82,90,97,104,116,125,131,142,147,157,170,175,313,325,328,343,344,360,363,376,384,387,400,409,417,427,430,440,597,607,610,624,633,640,648,658,661,671,677,686,702,708,712,726,732,743,752,758,768,776,785,794,803,811,819,823,839,842,851,863,869,876,887,896,901,909,921,929,936,946,957,961,974,983,988,998,1009,1018,1023,1030,1042,1051,1055,1066,1072,1085,1090,1097,1111,1114,1128,1135,1144,1154,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,18,25,35,46,53,68,72,83,89,98,106,112,127,131,144,152,161,170,177,182,325,328,341,349,358,364,377,386,389,395,412,417,428,429,446,448,605,616,621,629,641,645,658,664,670,678,688,702,703,713,721,737,744,750,758,771,776,781,789,799,810,816,827,832,847,854,857,873,878,888,894,899,910,924,925,937,948,958,959,969,980,987,997,1005,1015,1026,1035,1036,1045,1058,1066,1071,1079,1095,1101,1109,1121,1123,1130,1146,1152,1161,1167,1177	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,19,31,39,49,56,66,69,77,88,95,102,118,127,130,143,151,158,165,174,185,318,333,341,346,354,362,373,384,392,401,408,416,425,430,443,600,601,609,622,631,641,651,652,665,677,686,690,702,710,715,724,736,744,749,757,766,776,786,792,798,809,818,831,838,845,853,862,868,875,883,893,900,916,924,932,935,943,957,966,968,978,986,995,1006,1017,1023,1028,1043,1049,1057,1070,1077,1082,1089,1099,1107,1115,1123,1138,1142,1148,1160,1165	0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,21,26,39,48,56,63,72,81,88,98,107,119,124,131,144,149,153,166,177,182,318,334,335,350,360,363,369,383,386,398,411,417,428,431,443,460,604,617,619,632,636,648,660,665,672,681,686,697,703,720,727,736,742,751,755,769,780,784,791,799,806,819,826,835,847,855,865,871,874,886,898,903,909,919,930,935,942,952,967,976,978,987,998,1009,1018,1021,1034,1037,1052,1060,1065,1077,1083,1088,1101,1110,1117,1128,1130,1142,1151,1156,1165,1175	1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,19,32,38,46,52,61,76,85,92,101,105,111,127,130,139,145,159,166,173,314,320,328,343,344,360,361,369,381,389,402,410,415,424,430,444,600,609,611,619,632,642,649,660,663,673,682,687,697,709,719,725,733,742,750,757,771,779,780,788,801,811,817,827,834,846,850,858,872,880,889,893,901,910,924,927,936,942,951,963,971,979,985,997,1004,1016,1023,1035,1039,1051,1055,1064,1071,1080,1094,1099,1108,1114,1127,1131,1143,1154,1156,1167,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,22,28,35,50,59,68,72,79,87,93,109,111,121,128,141,150,160,170,175,187,319,328,343,345,358,369,373,380,390,398,406,416,427,430,437,597,607,612,619,633,636,646,655,661,672,683,687,698,705,715,725,732,738,746,759,769,775,787,788,800,806,814,827,831,842,856,858,872,880,885,896,899,910,922,926,938,948,956,961,972,977,990,1000,1009,1016,1020,1032,1037,1052,1054,1068,1074,1085,1088,1096,1111,1113,1128,1133,1147,1150,1161,1166	0,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,15,23,34,39,46,54,65,70,77,87,95,108,114,124,132,140,153,158,168,171,179,320,327,336,348,352,365,370,383,390,398,406,418,423,437,440,596,601,615,619,629,640,648,658,665,675,682,692,700,704,714,721,730,741,748,757,766,777,784,791,802,806,821,826,835,847,851,859,872,874,888,899,906,914,921,931,940,944,953,963,970,980,992,999,1003,1019,1027,1028,1039,1048,1059,1066,1073,1083,1090,1102,1109,1119,1122,1137,1142,1151,1158,1167,1176	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
1,9,19,27,34,43,58,62,73,82,86,102,105,112,121,132,143,151,158,169,179,183,321,327,337,344,358,361,374,378,394,401,411,420,421,435,442,450,609,615,623,630,643,647,658,662,670,677,691,700,708,714,727,735,744,750,761,769,774,785,796,799,808,821,826,837,843,849,864,873,878,882,898,901,915,919,933,939,948,951,960,968,983,992,1000,1005,1012,1020,1027,1043,1052,1058,1068,1075,1080,1088,1100,1108,1114,1123,1138,1146,1150,1160,1167,1175	0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0
5,8,18,25,41,49,52,60,76,83,87,96,102,112,120,132,138,145,154,166,178,184,323,332,336,344,356,365,377,379,390,401,407,416,422,430,443,599,601,616,618,633,643,647,657,668,669,681,694,702,711,717,728,730,740,751,760,765,777,787,794,801,808,821,827,839,843,849,861,866,878,888,894,907,909,924,928,939,951,953,963,969,978,985,995,1003,1016,1022,1029,1042,1052,1053,1062,1075,1080,1092,1101,1110,1118,1125,1132,1145,1150,1157,1165	1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,10,19,33,39,47,57,66,69,77,85,96,107,117,126,129,142,152,154,163,177,317,324,327,337,352,354,363,373,378,388,395,407,417,422,430,441,452,603,616,622,634,635,648,658,662,677,681,689,703,710,714,721,735,740,753,760,764,778,787,796,805,809,820,829,839,841,850,857,866,875,887,899,900,912,920,930,939,944,954,965,975,984,992,999,1006,1011,1025,1028,1040,1050,1055,1064,1074,1086,1090,1101,1108,1116,1129,1130,1145,1150,1157,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,30,36,49,52,63,74,76,89,95,103,116,125,128,137,148,160,162,171,187,321,333,335,351,360,368,373,379,390,400,404,412,425,431,446,596,603,617,624,629,642,650,660,665,676,680,687,703,704,714,728,736,742,750,756,769,771,781,791,797,811,821,825,837,842,854,860,868,874,882,894,900,911,918,933,941,950,951,960,976,979,992,995,1003,1012,1026,1032,1041,1052,1060,1070,1078,1083,1091,1102,1110,1121,1124,1133,1141,1147,1159,1167	1,0,0,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,18,30,35,46,58,63,76,85,91,102,104,119,124,135,138,151,161,170,172,196,323,330,336,351,356,363,375,379,394,398,411,415,426,437,446,597,601,612,622,633,636,649,654,663,677,684,691,698,711,712,725,737,738,747,759,771,773,782,792,800,807,818,822,838,840,851,860,870,874,885,893,907,914,924,928,937,946,958,964,968,977,989,994,1005,1016,1026,1035,1041,1049,1057,1068,1077,1082,1092,1103,1112,1116,1123,1132,1145,1154,1156,1166,1178	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
6,12,17,33,35,49,54,67,71,81,87,95,103,117,125,128,144,150,155,165,176,180,321,327,342,348,357,361,378,382,393,398,411,420,425,431,437,467,607,617,622,631,637,651,657,665,672,681,690,698,710,718,720,732,743,746,755,766,778,782,790,802,811,822,824,839,847,854,857,865,874,885,893,905,910,918,931,934,942,958,966,973,984,991,998,1008,1013,1022,1031,1038,1053,1061,1063,1077,1080,1093,1097,1107,1120,1128,1132,1145,1152,1157,1167	0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,25,27,39,47,56,64,75,84,88,96,108,118,124,131,142,148,158,162,172,181,325,333,341,352,353,365,372,382,394,396,408,416,421,430,445,596,607,611,620,628,642,644,656,665,673,680,688,701,706,715,723,736,741,754,756,770,776,782,791,804,807,821,829,836,842,849,858,868,876,887,896,900,915,922,927,941,947,952,962,968,981,986,998,1003,1017,1026,1034,1037,1047,1056,1065,1072,1085,1093,1100,1108,1118,1124,1138,1142,1151,1162,1165,1177	0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,23,28,36,43,53,67,69,85,90,99,108,113,128,130,137,152,155,170,177,181,323,331,341,345,355,364,376,382,391,396,406,414,425,436,444,463,606,616,624,633,635,650,655,666,675,678,692,700,705,716,728,730,739,746,758,771,777,784,794,799,812,822,827,833,843,850,860,868,882,889,894,900,910,921,928,935,949,956,967,971,981,987,998,1007,1018,1025,1028,1039,1046,1055,1062,1074,1080,1093,1099,1105,1113,1128,1135,1140,1151,1158,1167,1178	1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,14,21,27,40,45,52,63,74,80,88,97,108,117,120,135,137,149,157,167,176,180,326,334,338,346,356,369,371,384,392,397,408,413,426,436,442,597,601,610,621,631,642,645,656,661,676,683,689,695,708,714,725,729,738,750,761,766,779,784,796,805,807,818,825,836,846,849,862,867,882,888,894,907,914,918,925,936,948,952,967,975,977,993,1000,1007,1013,1020,1034,1039,1049,1054,1064,1076,1083,1092,1100,1110,1114,1129,1133,1145,1152,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
8,16,18,30,34,46,56,64,76,83,88,98,104,118,122,134,138,148,157,169,173,317,323,330,339,345,352,361,373,386,394,398,407,416,422,436,441,597,607,616,620,632,638,649,659,663,671,679,690,699,710,717,728,735,739,753,763,766,779,783,795,802,812,819,827,833,844,853,865,871,875,883,893,899,915,920,930,938,950,952,960,974,985,987,994,1004,1017,1027,1034,1043,1046,1055,1069,1075,1084,1087,1102,1109,1120,1127,1135,1140,1153,1163,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,28,38,46,51,62,70,82,90,101,110,111,127,135,144,151,155,170,175,316,326,327,335,344,357,367,377,380,392,402,406,418,426,435,446,448,605,610,623,630,639,646,655,664,674,683,691,696,703,714,724,731,744,747,757,770,777,782,794,802,812,822,828,836,846,853,862,872,880,888,896,900,911,922,928,934,944,951,963,973,977,988,994,1010,1013,1026,1028,1037,1046,1053,1063,1075,1079,1091,1098,1112,1115,1125,1132,1140,1154,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,33,39,49,54,63,76,78,87,98,107,119,123,130,137,153,159,170,178,314,319,329,338,351,359,366,376,382,394,402,404,416,424,431,442,462,606,611,624,626,636,644,652,662,674,683,692,702,710,720,724,736,745,746,754,769,773,784,794,799,808,820,826,835,840,852,863,866,874,882,894,903,910,921,925,939,947,958,961,971,982,985,998,1009,1017,1022,1033,1041,1048,1059,1069,1073,1087,1095,1096,1108,1121,1128,1137,1140,1148,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,30,36,49,55,59,69,83,88,97,106,116,126,136,137,150,161,170,173,317,318,334,342,349,358,363,375,378,392,396,408,420,424,431,442,597,603,613,623,633,638,651,654,668,676,680,694,702,709,714,722,735,738,751,761,763,774,784,794,798,812,818,831,832,846,848,857,872,877,889,896,904,913,924,930,941,949,959,961,974,980,985,994,1006,1012,1019,1030,1042,1052,1057,1066,1078,1083,1093,1104,1113,1120,1125,1133,1144,1149,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,33,35,43,55,65,71,84,88,96,107,111,120,130,140,153,161,168,175,316,319,333,341,346,355,368,377,381,394,399,408,415,421,430,444,596,607,613,618,626,641,651,656,662,675,681,693,701,707,716,722,732,745,753,755,764,778,780,791,797,813,817,829,832,846,849,859,868,874,889,894,901,913,920,933,935,946,957,965,973,979,988,996,1008,1013,1020,1033,1036,1047,1054,1070,1076,1082,1087,1100,1109,1113,1128,1137,1144,1153,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,25,35,47,57,63,76,83,90,98,108,118,126,131,142,147,157,167,178,315,322,333,335,347,358,361,373,378,392,402,405,419,427,431,446,458,604,614,625,631,637,651,655,667,671,678,689,701,710,718,721,736,745,747,757,764,774,782,793,802,808,821,824,835,840,855,863,870,881,888,896,907,913,919,930,940,945,956,967,970,983,989,995,1004,1015,1025,1031,1040,1045,1058,1065,1075,1083,1088,1100,1112,1120,1127,1132,1141,1154,1163,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,18,34,39,43,58,60,75,78,90,94,108,119,121,136,142,152,156,168,177,315,320,334,341,348,355,361,376,380,388,398,407,414,424,432,442,451,605,617,623,628,636,646,657,664,671,680,690,701,708,716,726,730,745,752,761,769,772,782,791,799,806,818,829,833,847,855,863,871,880,888,892,907,911,924,931,938,946,958,962,969,980,986,996,1007,1016,1019,1034,1043,1045,1057,1069,1076,1082,1092,1103,1109,1120,1123,1137,1147,1151,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,18,31,36,50,56,67,73,83,90,94,102,112,126,130,144,153,154,167,175,318,320,329,337,345,353,362,375,384,392,401,404,412,428,435,444,457,602,610,624,630,639,648,657,668,671,680,689,697,711,715,723,730,745,752,756,771,773,780,790,797,814,819,823,838,846,850,858,867,877,886,891,904,916,918,933,938,950,958,960,975,981,988,997,1008,1014,1023,1031,1038,1050,1061,1064,1074,1083,1095,1100,1109,1118,1124,1137,1142,1148,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,25,34,43,52,66,69,81,85,95,110,111,122,130,136,150,157,164,177,190,319,331,339,347,355,366,374,379,389,396,412,413,423,431,442,600,603,616,624,629,639,645,659,663,670,679,688,700,706,713,723,731,742,749,760,770,778,785,792,801,809,821,826,836,841,853,860,869,874,885,896,905,915,918,927,942,948,958,966,973,982,991,1002,1006,1011,1025,1031,1040,1051,1055,1066,1070,1080,1092,1103,1109,1120,1127,1138,1141,1149,1162,1165	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,17,31,34,48,58,62,68,81,86,99,106,117,120,131,144,151,157,162,173,317,318,330,339,350,357,361,377,380,390,397,406,418,428,434,441,466,601,613,625,629,641,651,653,665,674,681,691,699,705,718,727,733,741,748,760,768,779,786,790,797,813,814,826,833,842,852,864,873,879,887,893,906,910,921,927,937,949,959,960,975,984,987,1000,1008,1015,1021,1035,1044,1051,1061,1066,1070,1085,1091,1098,1104,1115,1122,1134,1146,1155,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,32,37,46,53,67,73,77,92,100,108,113,122,128,137,147,159,169,176,313,326,329,335,348,357,367,374,381,394,403,412,413,421,429,443,449,604,611,623,627,640,646,656,665,676,685,693,696,704,714,727,735,745,752,761,768,778,786,789,800,809,817,823,836,847,855,864,870,881,885,897,903,908,922,927,934,947,953,963,973,984,988,998,1008,1016,1026,1033,1044,1046,1060,1067,1071,1082,1091,1099,1108,1117,1124,1131,1146,1149,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,33,42,49,52,63,74,78,93,98,106,118,128,130,139,149,157,168,177,317,319,334,341,350,358,364,375,385,387,401,409,412,426,436,439,599,607,610,618,627,640,647,659,668,675,685,691,702,708,712,721,734,741,747,757,765,774,781,794,802,806,815,830,836,840,849,859,872,878,889,898,905,909,917,933,936,950,956,960,974,978,991,998,1008,1014,1020,1030,1039,1046,1053,1069,1072,1082,1091,1104,1110,1114,1128,1133,1142,1149,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,32,34,47,55,62,74,80,92,101,103,114,123,131,139,145,157,163,178,316,324,330,341,348,356,361,372,383,393,402,411,417,422,435,443,467,602,610,618,627,642,643,654,669,672,680,686,700,705,713,722,729,742,753,757,764,772,784,794,798,812,819,828,837,847,853,860,866,874,888,893,904,915,919,933,939,948,955,960,969,983,990,995,1009,1014,1024,1028,1043,1049,1054,1065,1079,1080,1089,1104,1110,1114,1124,1131,1140,1153,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,29,34,50,59,66,72,81,90,95,108,112,119,132,141,148,161,162,171,188,325,332,343,344,359,362,370,379,390,402,405,418,428,434,441,596,605,615,624,632,635,649,660,662,676,683,688,695,709,716,720,732,743,753,757,765,775,788,793,805,806,819,829,838,845,853,860,872,877,885,896,904,911,925,930,938,944,958,960,972,977,987,998,1007,1014,1026,1036,1037,1049,1053,1064,1077,1086,1090,1100,1109,1114,1129,1134,1141,1155,1162,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,11,21,27,41,47,57,61,73,80,89,97,109,115,125,133,137,145,159,162,175,317,318,332,343,348,357,367,375,382,389,402,404,418,427,437,440,597,602,615,619,631,639,650,659,660,670,681,693,697,709,718,722,731,738,750,759,768,776,785,791,799,807,818,827,837,848,854,858,873,876,890,893,904,909,918,925,935,945,957,959,968,980,985,994,1007,1015,1020,1028,1041,1048,1061,1066,1072,1084,1092,1100,1109,1120,1123,1136,1147,1149,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,30,34,46,51,66,72,84,88,101,103,118,123,130,140,150,155,166,178,316,322,332,342,349,356,363,377,378,388,399,406,413,428,431,444,596,604,617,621,629,637,645,659,663,677,683,693,701,711,715,727,733,742,746,757,770,778,785,792,798,807,822,826,838,841,850,865,868,880,890,893,901,914,917,928,942,950,955,965,970,982,985,998,1007,1016,1023,1030,1041,1051,1055,1069,1078,1084,1094,1103,1106,1119,1129,1138,1142,1154,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,29,34,43,57,66,76,79,92,94,108,112,120,131,144,145,155,162,176,315,324,332,338,350,358,361,373,382,391,399,409,413,424,435,443,447,608,613,619,631,637,646,656,662,673,679,686,699,703,719,722,730,737,748,755,770,774,780,789,799,810,819,830,836,845,853,864,871,875,886,894,908,914,917,929,935,945,955,961,975,978,989,999,1003,1011,1020,1032,1041,1050,1060,1066,1077,1081,1092,1097,1111,1117,1128,1130,1146,1153,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,17,27,36,44,53,61,68,79,92,101,109,117,125,132,138,151,161,170,171,317,326,328,340,349,358,368,374,381,393,395,411,414,421,432,445,460,604,611,623,627,637,650,656,662,670,678,693,701,705,712,722,734,742,747,755,767,774,788,795,801,813,816,829,834,845,851,857,873,879,883,899,900,909,922,927,938,948,953,962,970,980,990,1000,1009,1013,1023,1035,1043,1047,1061,1064,1071,1087,1094,1096,1105,1118,1125,1131,1140,1151,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,31,38,47,56,62,72,85,88,96,110,111,122,132,143,150,161,169,176,314,324,334,343,345,353,366,376,382,389,395,405,416,426,432,442,596,603,614,623,634,636,649,655,668,673,681,686,698,706,713,721,730,739,746,760,768,773,781,789,799,810,818,825,831,840,853,864,870,874,888,896,900,910,922,925,934,942,951,962,976,982,990,999,1003,1010,1021,1028,1043,1048,1056,1067,1074,1080,1095,1098,1111,1113,1125,1132,1143,1152,1160,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,24,30,40,47,54,59,70,77,90,94,105,111,122,132,139,145,159,166,172,318,320,326,336,349,356,362,376,383,388,400,407,420,422,434,439,597,603,616,622,631,636,643,654,664,671,686,694,700,711,717,728,736,742,746,761,764,779,788,792,805,808,819,831,839,846,852,863,872,879,882,898,903,910,921,927,941,943,956,960,971,978,986,994,1006,1017,1025,1028,1038,1046,1058,1066,1075,1082,1092,1101,1107,1117,1127,1138,1141,1152,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,24,31,38,49,57,65,71,80,85,99,109,118,123,130,136,149,155,166,171,313,323,332,336,350,358,361,375,383,386,397,409,417,429,430,443,596,603,615,623,633,638,644,660,665,670,682,693,698,709,719,727,733,738,750,759,766,774,785,796,798,813,817,823,831,847,855,858,867,874,886,894,904,916,918,927,940,947,958,961,969,984,988,1001,1003,1018,1026,1034,1040,1047,1055,1068,1074,1081,1093,1103,1112,1120,1128,1133,1142,1154,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,32,37,44,56,62,74,84,85,97,106,115,121,131,142,149,159,164,171,316,323,332,340,349,359,362,372,381,390,401,407,414,428,433,439,458,604,609,618,634,641,645,655,666,673,685,686,701,706,720,727,737,745,752,761,763,774,784,795,800,807,818,828,836,845,856,863,869,874,882,894,905,912,924,925,941,948,956,967,975,979,988,997,1005,1018,1021,1030,1038,1046,1056,1066,1078,1086,1088,1096,1104,1118,1125,1133,1147,1151,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,34,38,51,59,62,71,79,88,97,104,116,124,132,140,151,160,168,174,317,321,333,339,346,355,363,372,382,392,396,404,415,422,430,442,467,609,616,620,630,636,650,660,667,676,678,690,700,711,713,726,734,737,753,757,763,774,787,793,805,809,819,828,835,841,852,860,872,880,889,896,902,910,919,926,935,945,953,968,970,978,991,998,1009,1013,1022,1030,1039,1045,1054,1068,1073,1085,1095,1099,1111,1121,1129,1138,1146,1149,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,24,30,36,47,59,62,74,76,92,95,106,114,123,129,137,149,159,165,173,316,320,330,343,352,357,362,371,379,388,398,404,417,422,432,440,597,601,615,619,627,640,646,658,663,673,684,690,697,703,719,721,736,740,753,759,768,776,782,789,798,809,818,827,837,841,854,865,867,882,891,896,906,913,921,930,941,943,957,963,974,984,988,995,1004,1016,1020,1034,1038,1053,1059,1066,1076,1086,1087,1097,1109,1118,1124,1137,1139,1151,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,32,42,47,51,65,68,81,90,97,108,119,127,134,139,150,162,168,173,317,325,331,338,347,358,364,375,378,394,397,408,419,422,435,442,596,607,609,618,629,639,645,654,667,673,685,691,702,710,714,721,734,744,752,761,769,776,783,791,802,809,820,829,835,842,848,865,869,880,885,891,904,909,922,931,933,945,957,967,969,977,988,999,1009,1016,1022,1035,1043,1048,1058,1066,1072,1082,1087,1098,1108,1120,1126,1136,1147,1152,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,30,39,47,53,60,75,77,85,100,107,114,119,135,143,149,159,165,174,314,323,326,339,348,355,367,370,380,387,400,411,412,425,436,440,599,601,610,620,631,636,645,658,668,676,679,686,697,706,718,727,733,741,749,758,766,772,781,791,800,814,820,828,832,845,851,861,866,881,883,895,905,912,924,926,935,948,951,964,968,982,993,994,1004,1015,1021,1030,1040,1046,1057,1064,1073,1082,1091,1097,1105,1114,1128,1133,1139,1148,1160,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,31,35,46,54,63,73,82,91,99,110,112,127,130,139,150,154,165,177,179,321,332,343,350,359,367,375,380,394,398,409,419,421,435,443,456,606,612,619,631,637,644,660,662,674,681,690,698,704,718,722,734,741,748,762,766,777,781,795,801,812,818,823,832,846,848,861,870,875,888,899,900,913,924,933,937,947,958,964,970,977,992,996,1009,1018,1023,1028,1043,1052,1054,1068,1073,1081,1093,1098,1108,1115,1124,1133,1140,1149,1158,1172	1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,20,32,39,49,52,64,72,78,91,100,103,112,119,131,143,148,154,168,177,198,324,329,340,346,355,365,377,380,391,398,409,414,424,433,439,599,602,617,626,634,640,647,654,665,672,681,686,703,704,714,728,734,742,749,759,769,779,784,792,801,811,819,830,837,846,856,862,872,875,889,892,907,909,922,929,934,949,955,965,973,983,990,995,1002,1016,1021,1035,1044,1053,1061,1070,1071,1086,1092,1097,1107,1118,1122,1134,1143,1153,1162,1171,1174	0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
7,9,21,30,39,48,53,65,71,84,93,102,110,114,124,133,138,149,158,170,175,182,323,328,341,349,356,367,370,379,386,397,406,412,426,431,441,471,608,610,625,632,636,648,657,662,674,684,687,700,709,713,726,737,740,748,758,771,776,787,790,798,811,822,829,832,840,852,859,873,880,884,894,901,915,917,929,934,942,956,961,972,983,989,1001,1004,1019,1024,1035,1041,1046,1060,1069,1074,1085,1089,1102,1109,1114,1127,1134,1141,1151,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0
8,16,23,26,40,42,55,61,73,79,91,95,105,111,126,129,144,149,155,167,177,186,320,330,341,347,352,366,370,384,394,401,405,420,423,431,445,596,604,617,619,630,640,646,652,664,674,678,693,696,709,712,726,730,742,753,759,765,772,785,793,800,813,819,826,832,842,849,860,873,874,884,891,907,914,924,929,935,946,957,963,969,983,985,996,1002,1014,1022,1028,1041,1050,1058,1069,1073,1086,1095,1100,1106,1118,1126,1137,1147,1150,1161,1166,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,12,20,26,39,43,54,67,76,83,90,96,104,112,127,131,139,150,158,167,179,187,322,330,338,345,354,367,371,385,394,397,410,420,425,429,441,599,602,614,623,631,641,647,656,665,674,684,688,696,711,717,720,730,745,749,755,766,780,787,794,799,810,817,825,836,844,850,857,865,878,890,891,908,913,921,926,941,947,956,962,975,983,988,996,1007,1011,1021,1035,1041,1050,1055,1066,1078,1087,1089,1097,1108,1121,1129,1130,1146,1148,1156,1169,1177	1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0
1,15,19,32,38,49,52,64,70,82,89,93,109,115,123,129,141,149,153,164,178,188,322,332,338,352,359,364,375,383,390,397,411,413,422,431,439,597,602,615,625,634,635,646,659,668,671,678,689,695,705,715,724,730,739,750,760,765,774,785,789,803,809,817,830,836,845,855,859,869,874,889,891,905,913,919,930,942,950,958,966,974,978,993,998,1008,1016,1021,1032,1042,1051,1053,1066,1071,1085,1093,1100,1107,1120,1122,1135,1142,1150,1163,1166,1177	1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,15,20,30,41,44,51,68,76,83,91,96,106,116,126,129,142,145,161,162,173,179,318,330,335,348,359,369,377,382,389,403,407,413,424,437,444,460,606,612,621,628,642,646,653,666,677,685,692,697,703,717,726,730,741,748,756,766,778,784,789,797,809,818,825,838,845,855,861,867,876,889,898,907,910,922,928,937,944,955,968,971,980,990,999,1007,1018,1020,1029,1038,1048,1059,1068,1076,1086,1090,1097,1112,1118,1125,1133,1140,1149,1161,1169,1175	1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,19,33,40,44,59,61,70,80,87,94,106,116,125,131,140,150,160,165,174,186,322,333,341,352,356,363,372,379,393,398,404,414,425,430,444,470,607,617,621,631,638,644,655,664,671,678,694,699,710,717,722,732,738,750,756,770,777,785,790,802,813,816,831,839,847,855,865,869,876,891,898,904,911,919,929,937,950,958,964,972,982,991,996,1002,1018,1020,1034,1041,1053,1060,1064,1078,1086,1095,1102,1109,1115,1124,1136,1140,1155,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,20,25,36,48,53,65,68,78,88,100,109,118,125,135,138,151,154,163,171,317,324,328,338,344,353,363,376,381,387,401,407,418,426,435,438,596,605,611,621,632,635,647,660,662,675,684,691,697,707,715,724,733,739,752,762,768,772,781,791,800,811,822,829,836,847,850,862,871,880,885,897,904,909,920,925,940,944,957,966,972,984,985,997,1005,1018,1024,1032,1037,1046,1057,1065,1077,1082,1095,1099,1104,1120,1129,1138,1142,1152,1162,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,28,36,50,51,68,72,82,89,99,109,116,126,134,142,145,157,163,173,181,319,327,337,350,359,362,374,378,387,398,405,416,428,431,446,596,607,610,626,627,642,646,654,665,676,686,694,697,708,715,720,732,743,748,759,765,778,782,791,802,808,816,824,839,845,848,859,869,878,889,895,902,916,923,931,934,949,951,963,974,981,988,1001,1010,1017,1025,1034,1037,1050,1058,1068,1074,1081,1091,1098,1110,1114,1124,1134,1139,1153,1157,1171,1174	1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,11,23,33,41,45,55,60,75,81,85,95,104,113,123,136,139,147,155,166,171,201,325,331,342,350,357,368,373,379,392,395,409,415,428,431,439,600,602,610,618,632,635,650,659,669,676,678,691,701,704,716,723,732,740,747,755,769,780,786,793,803,811,822,828,832,844,857,862,866,880,890,892,900,909,916,930,938,947,954,966,975,984,987,998,1010,1015,1021,1035,1037,1045,1060,1063,1071,1080,1089,1104,1109,1119,1123,1133,1145,1149,1162,1169,1175	1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,14,17,32,36,46,56,62,74,81,92,98,104,118,127,136,144,149,161,169,174,179,322,333,337,347,354,361,371,379,387,397,410,416,427,431,446,598,602,617,622,629,638,651,660,666,672,683,687,696,704,719,723,732,740,754,760,767,774,785,793,802,813,821,826,837,843,854,864,873,874,885,891,905,913,924,929,942,950,955,959,968,980,993,1002,1009,1015,1021,1032,1044,1048,1055,1069,1070,1084,1095,1099,1109,1118,1124,1131,1144,1154,1164,1171	1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,8,18,31,34,43,58,64,69,83,91,95,109,115,121,132,136,150,155,169,175,190,323,327,341,347,357,363,370,383,388,403,410,414,422,436,445,597,606,612,621,633,642,650,658,660,670,683,689,702,706,714,725,732,743,752,756,771,776,787,791,800,806,815,823,839,843,849,864,866,880,885,892,905,912,922,929,939,948,958,963,970,984,988,999,1007,1017,1026,1034,1043,1052,1059,1062,1077,1082,1090,1103,1104,1119,1129,1136,1139,1149,1164,1167	1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,20,27,36,44,57,68,69,81,91,97,109,114,126,134,140,148,155,167,177,183,323,328,343,347,352,364,377,379,392,397,411,414,422,434,440,597,605,610,624,627,637,651,657,664,677,679,693,695,711,714,726,737,739,752,760,764,776,785,792,799,813,816,825,838,840,854,863,870,881,889,893,904,914,917,927,934,949,956,963,972,982,987,1001,1006,1014,1024,1035,1041,1051,1055,1062,1074,1082,1092,1099,1112,1120,1122,1134,1145,1154,1163,1172,1173	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,19,32,36,50,53,61,69,78,90,101,106,114,126,136,142,148,158,168,171,180,324,327,335,351,352,366,375,383,387,396,405,420,425,432,443,471,606,615,622,634,635,651,659,668,673,680,686,697,704,714,726,729,738,754,757,767,772,786,796,798,811,819,826,838,845,852,860,868,878,886,895,904,915,919,928,936,947,955,963,968,982,988,994,1004,1017,1025,1034,1038,1050,1060,1063,1072,1084,1092,1099,1108,1120,1127,1130,1141,1153,1157,1168	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,17,22,26,41,49,52,60,75,84,88,97,103,117,121,136,142,146,159,169,171,315,325,333,340,344,359,364,373,386,392,395,404,417,426,432,445,597,603,611,622,632,639,644,657,666,676,681,690,699,708,719,726,736,744,747,755,771,776,780,790,805,809,820,828,837,847,855,862,870,876,884,898,902,913,921,929,934,950,952,963,969,981,989,997,1006,1016,1025,1035,1036,1050,1059,1066,1071,1082,1089,1097,1110,1115,1123,1137,1140,1147,1162,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,28,36,45,59,65,69,78,86,101,104,113,123,131,139,152,153,167,178,313,321,333,338,348,355,365,371,386,391,397,404,417,428,434,439,596,605,611,623,633,636,645,653,661,672,679,692,700,710,714,727,735,737,748,762,767,777,782,789,805,808,816,824,833,846,852,864,869,878,885,894,906,910,918,931,935,945,959,960,969,982,991,996,1006,1018,1022,1033,1041,1046,1055,1066,1070,1081,1093,1098,1111,1121,1122,1134,1144,1155,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,135,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,19,33,37,44,58,61,74,81,92,96,107,111,119,133,137,148,161,170,172,315,322,327,340,351,360,366,370,381,386,400,405,419,428,431,445,598,601,614,620,630,636,646,655,663,675,680,691,695,706,718,726,735,738,749,757,765,771,785,792,797,813,816,823,831,846,850,859,867,879,888,892,907,916,921,928,937,948,952,965,969,979,986,998,1007,1010,1027,1028,1044,1048,1057,1062,1073,1082,1095,1103,1105,1118,1127,1132,1146,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,24,26,40,51,55,67,74,82,92,97,110,117,120,135,145,146,157,164,175,315,325,328,343,349,356,364,372,382,389,402,409,420,428,429,440,597,606,615,623,634,637,645,657,662,671,678,687,701,707,714,723,733,744,746,756,764,777,788,791,805,806,819,829,836,843,855,863,871,882,891,897,901,912,922,930,942,949,956,962,970,978,986,995,1008,1015,1022,1036,1043,1053,1057,1065,1074,1084,1095,1103,1113,1119,1123,1136,1141,1151,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,32,40,49,56,63,76,84,87,99,110,116,124,130,144,149,153,170,175,317,323,330,340,346,355,369,370,379,387,395,407,420,429,431,438,598,601,617,622,634,641,646,657,666,670,686,689,699,709,715,725,735,743,754,756,767,773,782,790,800,811,819,829,838,846,855,861,867,875,887,899,905,909,925,926,938,945,955,966,970,979,989,996,1003,1012,1020,1032,1043,1050,1056,1063,1076,1087,1090,1099,1112,1115,1122,1138,1140,1152,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,25,38,50,52,62,72,79,92,100,102,111,124,129,144,153,157,165,173,318,319,331,343,345,352,362,373,382,393,401,411,416,420,435,444,451,605,614,624,628,642,650,659,664,673,679,691,699,704,716,721,733,738,746,759,765,776,784,789,797,811,818,825,835,848,854,861,867,877,887,899,901,915,918,925,942,950,959,964,970,983,993,995,1007,1011,1022,1031,1037,1050,1054,1067,1075,1085,1094,1097,1109,1116,1127,1134,1147,1151,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,28,41,50,52,63,72,78,85,95,103,113,127,128,141,151,161,164,177,313,325,328,342,350,356,365,376,383,388,396,404,413,425,433,445,447,609,614,618,630,641,645,654,660,674,682,692,703,711,717,722,733,740,746,759,767,780,785,790,799,813,818,828,839,846,850,858,867,877,883,898,906,914,919,928,938,949,959,961,968,981,986,999,1006,1014,1020,1028,1043,1045,1061,1062,1076,1083,1090,1099,1108,1115,1123,1134,1141,1151,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,30,41,49,58,62,72,83,86,97,107,111,126,135,137,151,159,165,178,316,324,334,340,351,354,361,375,381,392,400,410,416,424,435,439,600,609,614,621,633,643,645,652,661,672,681,687,701,708,713,725,735,739,753,756,765,776,784,794,799,813,815,827,832,841,852,860,870,879,886,899,904,912,918,926,935,943,957,961,974,983,986,1001,1008,1011,1026,1029,1040,1047,1058,1069,1071,1079,1094,1100,1105,1114,1126,1132,1139,1149,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,33,38,46,57,67,73,84,93,102,103,117,126,133,140,146,154,166,177,180,319,329,336,351,359,367,374,381,395,400,409,416,421,432,443,466,601,611,619,632,640,645,655,667,676,683,688,701,706,718,722,734,741,746,755,764,777,784,789,801,812,822,831,833,847,853,861,867,877,889,893,902,913,917,928,935,946,959,962,968,980,988,1001,1008,1018,1019,1029,1041,1048,1061,1063,1071,1086,1093,1096,1112,1114,1127,1134,1141,1154,1160,1165,1175	1,0,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,24,29,35,47,51,63,70,80,92,95,103,111,123,130,138,146,157,166,176,317,322,327,340,349,352,369,370,382,390,402,407,412,425,429,444,453,609,611,624,627,641,650,654,666,672,681,689,700,705,715,726,735,739,750,762,769,777,782,795,799,807,818,824,832,844,852,860,869,879,889,891,901,911,918,931,940,945,955,966,968,982,992,998,1006,1015,1019,1029,1044,1052,1061,1068,1075,1082,1088,1098,1111,1114,1122,1137,1140,1153,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,23,30,39,43,56,64,73,82,88,99,102,113,123,129,137,152,161,167,172,313,324,328,338,345,354,361,376,383,391,402,404,417,423,431,441,597,606,615,620,630,638,643,660,665,669,682,690,696,708,714,725,730,745,752,756,769,773,786,797,801,807,818,825,835,842,851,861,873,882,886,893,900,910,917,930,934,942,951,963,973,980,990,995,1006,1015,1025,1031,1039,1046,1053,1065,1073,1087,1091,1103,1110,1116,1125,1137,1142,1150,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,28,42,43,55,66,72,85,92,99,106,111,124,131,142,151,161,166,172,315,323,327,335,345,354,363,376,379,387,395,411,413,421,430,439,598,607,613,618,629,638,649,659,660,671,680,691,699,710,713,721,735,745,752,759,769,780,781,793,803,813,822,830,833,844,853,860,873,882,889,893,900,911,922,930,941,948,959,964,972,980,989,994,1010,1015,1021,1028,1042,1052,1059,1070,1075,1084,1089,1099,1106,1113,1124,1132,1143,1154,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,33,41,49,54,67,69,83,88,96,104,119,122,130,137,145,159,169,171,317,324,330,338,351,357,368,376,380,392,400,407,420,422,433,440,599,604,615,625,628,638,648,659,662,669,678,688,698,707,715,725,734,742,749,759,764,772,787,796,802,809,820,829,835,840,852,861,872,881,882,899,907,914,924,930,939,945,951,967,973,985,989,998,1009,1019,1025,1032,1038,1051,1054,1069,1071,1080,1095,1102,1110,1116,1128,1132,1139,1150,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,33,39,49,56,59,70,80,89,102,104,118,123,135,143,149,156,165,176,180,321,330,339,348,353,365,375,379,389,401,411,413,421,436,443,597,601,617,625,634,639,648,658,668,672,680,690,698,709,714,727,732,745,754,760,767,774,783,792,799,809,814,830,833,840,850,863,868,875,890,893,905,909,917,929,937,945,951,966,974,978,988,996,1005,1015,1024,1033,1042,1047,1054,1062,1076,1084,1088,1099,1108,1118,1129,1132,1141,1149,1157,1171,1174	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,16,22,31,39,47,52,63,73,79,91,102,103,111,127,132,143,152,160,170,178,314,325,334,339,347,355,362,371,385,388,398,403,419,423,432,444,465,607,610,619,631,642,645,653,665,669,682,694,698,711,713,726,737,741,753,760,768,777,784,796,804,807,819,823,836,840,852,861,871,879,888,898,902,912,917,931,935,945,952,961,970,976,985,998,1007,1017,1021,1033,1037,1052,1059,1066,1078,1080,1089,1100,1108,1115,1127,1137,1145,1151,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,26,41,45,53,67,74,82,91,101,105,111,124,133,141,149,162,167,174,313,325,332,337,348,355,363,372,386,389,399,404,419,425,432,441,598,601,613,620,627,641,645,653,668,675,683,690,695,708,719,727,733,745,750,759,771,773,784,789,803,808,821,827,832,843,855,862,866,878,887,893,906,910,923,928,936,946,959,967,973,979,986,996,1009,1011,1023,1032,1043,1053,1062,1066,1074,1082,1091,1098,1110,1120,1128,1130,1139,1154,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,26,34,48,56,60,72,83,92,101,103,118,125,135,136,145,161,162,173,318,320,332,335,348,356,363,376,380,394,403,411,415,429,437,441,598,606,616,624,626,642,644,653,667,673,678,691,698,708,713,720,732,743,750,758,764,772,788,790,799,807,818,829,839,844,851,860,865,878,886,897,903,910,919,930,935,947,951,964,968,978,986,997,1007,1017,1020,1030,1036,1050,1054,1068,1071,1081,1087,1102,1107,1114,1128,1136,1139,1149,1163,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,33,38,45,51,65,68,83,85,96,106,112,126,133,139,151,160,169,177,314,319,333,342,347,360,362,373,379,393,398,409,419,423,432,440,597,604,616,618,630,637,651,657,666,676,683,693,700,708,713,721,737,742,752,759,765,778,785,790,804,811,817,829,836,840,856,858,871,879,888,891,905,916,921,933,937,943,957,966,970,983,993,995,1004,1012,1020,1032,1042,1052,1057,1066,1076,1083,1089,1097,1104,1117,1128,1130,1146,1153,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,17,28,36,47,57,61,75,79,88,99,102,119,120,128,139,150,161,170,174,317,322,334,343,344,357,369,377,385,390,400,404,419,421,436,445,449,608,611,622,630,643,651,655,663,672,679,687,700,710,713,728,734,744,746,756,767,773,785,789,799,813,820,823,833,846,854,864,874,882,889,898,900,913,920,931,934,948,955,966,969,982,991,1000,1009,1017,1019,1030,1037,1053,1059,1067,1074,1082,1089,1096,1107,1114,1123,1134,1139,1150,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,28,39,44,52,65,71,79,87,97,106,119,126,132,142,153,158,164,176,317,326,332,343,350,352,366,371,384,387,398,406,413,428,430,446,598,605,612,618,630,641,644,653,661,670,685,690,702,705,715,724,735,745,752,757,766,778,786,792,805,807,821,825,836,842,849,858,873,879,885,899,906,910,924,933,937,946,958,966,974,978,992,996,1007,1013,1021,1028,1040,1051,1060,1064,1071,1083,1090,1098,1110,1119,1126,1132,1144,1152,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,21,32,36,43,54,64,74,82,85,99,108,115,124,130,136,148,155,163,170,314,320,335,342,344,360,365,371,378,392,400,407,419,423,433,444,460,607,612,624,629,635,648,655,667,671,684,691,700,703,718,726,734,744,748,761,765,772,782,794,800,806,814,828,833,844,849,862,871,880,890,892,906,908,924,929,939,947,955,960,975,981,989,999,1005,1016,1020,1033,1041,1049,1059,1068,1077,1082,1093,1104,1112,1121,1129,1134,1141,1154,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,33,41,50,57,60,75,77,86,99,106,115,120,130,144,147,153,168,174,316,319,327,337,347,360,367,371,379,390,402,407,415,427,433,441,596,601,611,622,627,643,648,658,666,675,682,689,698,704,716,725,737,745,751,757,769,771,781,792,804,806,821,824,833,843,851,865,872,881,883,896,904,914,921,926,937,947,953,961,974,978,992,997,1004,1017,1019,1033,1038,1048,1056,1066,1077,1081,1092,1100,1109,1114,1124,1130,1141,1152,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,22,30,40,50,57,64,72,79,90,101,105,118,126,128,139,147,160,164,174,313,322,331,342,350,352,364,373,382,393,396,408,412,428,432,440,600,609,616,624,631,643,650,653,666,677,680,687,700,711,714,726,736,737,754,757,769,779,784,789,800,811,819,824,838,842,856,857,871,882,883,894,902,911,917,926,934,948,952,967,975,983,991,998,1006,1013,1024,1029,1040,1052,1057,1064,1074,1079,1092,1096,1106,1121,1123,1135,1147,1154,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,20,33,37,44,53,68,75,77,93,101,104,114,126,132,139,147,157,163,178,318,325,328,343,344,356,363,370,380,393,397,409,414,425,434,445,599,609,611,621,626,637,645,654,661,671,684,686,702,709,717,721,733,740,747,759,765,775,783,795,805,806,817,823,835,848,851,864,867,877,885,895,906,912,922,928,940,945,951,960,972,982,987,1001,1009,1011,1022,1034,1042,1045,1057,1066,1071,1080,1095,1102,1109,1117,1128,1134,1140,1152,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,32,42,44,58,64,74,76,88,98,110,119,123,130,143,152,156,166,171,318,319,331,339,349,360,361,371,378,387,401,410,419,426,437,444,450,606,613,624,627,642,649,656,665,671,686,688,695,707,713,723,735,741,752,762,766,775,786,795,799,814,819,825,835,840,850,860,871,881,888,899,900,915,924,931,937,944,956,966,973,983,987,994,1004,1015,1021,1034,1044,1047,1054,1068,1078,1085,1088,1096,1109,1119,1126,1133,1146,1155,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,29,35,44,58,66,73,76,93,97,108,112,123,131,144,149,160,164,174,313,326,331,337,349,359,363,374,383,387,397,406,416,426,436,445,598,604,612,625,631,637,645,655,663,675,684,689,699,707,713,727,729,739,752,756,766,775,784,796,803,813,818,830,836,843,849,860,870,877,886,898,903,914,917,928,935,947,959,966,970,981,990,996,1008,1018,1025,1031,1043,1052,1057,1067,1072,1080,1091,1104,1105,1114,1127,1134,1141,1154,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,18,27,39,43,54,62,69,83,86,100,106,116,119,136,143,152,154,168,173,181,325,327,338,348,355,363,377,379,393,396,407,412,421,437,443,465,600,610,624,632,638,651,659,661,672,681,693,699,710,715,720,734,740,747,760,766,774,783,793,804,813,821,823,838,844,852,859,869,877,885,891,905,912,919,926,937,948,955,967,968,979,993,996,1004,1011,1020,1029,1039,1045,1061,1069,1073,1082,1092,1100,1106,1117,1124,1131,1139,1150,1156,1172,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,22,30,42,45,54,64,75,82,86,97,104,119,121,131,141,151,161,165,179,190,323,326,340,348,357,364,376,378,388,396,408,416,427,431,445,597,605,611,619,634,637,650,657,664,670,679,694,698,708,715,724,733,743,751,761,770,779,786,795,801,808,817,823,832,842,856,857,873,876,884,891,907,912,923,931,935,948,959,962,976,983,986,994,1003,1012,1026,1031,1036,1052,1061,1070,1071,1081,1094,1097,1108,1119,1128,1138,1147,1154,1163,1167,1173	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
1,13,21,31,38,46,56,62,69,79,93,99,110,116,125,129,143,149,154,170,177,182,320,328,342,348,354,361,372,378,387,395,409,413,423,433,446,597,602,615,619,632,642,644,654,661,670,680,692,698,708,713,725,735,739,751,757,769,778,783,789,801,807,822,830,832,847,855,862,868,878,883,899,907,910,924,929,934,945,952,960,968,982,992,997,1004,1015,1027,1036,1040,1046,1056,1063,1072,1080,1096,1103,1108,1120,1122,1133,1144,1151,1161,1170,1173	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
2,13,20,31,40,47,57,61,70,77,93,101,110,119,121,135,143,151,153,163,171,185,318,329,337,345,358,362,376,381,392,403,412,420,421,432,439,598,604,612,625,630,641,645,652,668,669,678,693,702,706,719,722,731,740,751,756,769,772,787,791,801,812,822,823,831,840,851,861,870,877,882,892,900,910,918,926,938,947,953,962,968,984,992,995,1004,1014,1024,1033,1038,1045,1058,1067,1078,1084,1095,1100,1107,1115,1129,1138,1142,1150,1160,1172,1178	0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,13,18,26,41,47,58,64,76,77,90,96,104,111,121,132,138,147,160,169,174,186,324,334,343,348,354,366,374,379,389,402,406,419,422,429,441,470,608,612,623,628,640,643,660,661,669,683,690,695,703,719,723,734,742,746,757,769,778,781,788,801,813,820,829,837,841,850,863,867,879,889,895,906,914,925,931,939,945,958,961,968,982,992,997,1002,1012,1019,1029,1043,1047,1057,1066,1079,1080,1092,1099,1105,1116,1123,1132,1141,1148,1156,1165,1174	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,24,27,38,46,57,63,70,82,93,95,103,119,122,132,143,149,159,166,174,184,321,330,341,351,355,363,374,381,392,399,411,415,425,437,442,454,609,612,624,634,635,646,655,667,673,685,688,701,710,712,728,729,739,753,757,765,772,785,789,798,807,815,825,838,846,851,859,868,881,884,895,904,912,918,933,934,948,954,965,975,981,987,1000,1006,1017,1022,1033,1041,1050,1058,1067,1070,1087,1096,1099,1108,1113,1129,1131,1146,1153,1160,1172,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,17,32,37,45,56,60,69,84,91,94,107,117,127,135,139,150,160,164,175,181,318,328,335,349,359,367,374,384,394,395,407,415,427,433,438,465,608,614,620,627,635,648,659,663,677,678,689,697,706,712,728,735,739,752,756,769,774,783,789,801,813,818,823,836,840,852,860,866,881,891,897,900,915,918,930,941,949,954,961,974,980,988,999,1006,1014,1024,1029,1043,1045,1061,1070,1074,1087,1095,1096,1110,1121,1124,1137,1146,1150,1157,1171	1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
4,13,22,26,42,45,56,66,72,83,86,95,106,115,123,130,136,148,156,170,173,185,320,327,340,347,357,369,374,379,388,400,408,415,428,435,441,596,609,613,621,631,642,646,657,665,674,685,688,695,709,715,724,735,744,750,763,766,774,784,795,798,805,822,823,839,843,857,858,868,875,883,895,903,914,923,933,939,946,951,964,968,980,992,1001,1009,1013,1027,1035,1043,1049,1053,1065,1072,1086,1090,1099,1104,1120,1129,1132,1142,1148,1164,1172	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0
4,15,22,30,38,49,58,67,72,82,85,97,108,111,124,133,143,150,159,166,176,317,320,329,339,349,356,365,373,378,387,400,407,419,428,434,443,597,603,614,622,631,636,645,655,660,673,679,691,698,709,712,723,735,739,748,762,768,779,785,791,801,810,821,825,834,847,855,864,870,877,888,895,902,908,917,932,942,944,956,964,970,983,990,999,1008,1011,1027,1034,1044,1048,1056,1067,1073,1086,1091,1103,1108,1113,1123,1137,1146,1150,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,28,37,43,52,60,74,83,86,101,105,114,121,132,139,150,161,162,172,179,319,328,343,352,354,368,373,383,388,398,404,416,428,432,445,599,608,612,623,629,640,648,659,663,674,682,686,700,704,717,721,732,738,753,756,769,779,788,795,798,809,815,825,837,845,854,860,870,878,885,893,905,912,917,933,937,944,955,963,972,980,985,998,1009,1015,1023,1030,1038,1045,1055,1070,1076,1081,1089,1102,1113,1119,1125,1137,1139,1155,1163,1171,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,12,17,25,41,48,51,66,70,78,91,95,102,118,124,132,142,149,156,167,171,181,321,327,337,350,358,364,374,385,392,400,406,412,426,432,438,598,607,616,620,634,636,649,659,668,673,679,694,695,705,712,724,730,741,750,762,769,774,785,789,799,812,820,830,834,844,849,860,870,880,888,896,901,909,920,932,938,945,954,966,972,981,991,994,1007,1013,1022,1032,1039,1049,1055,1067,1076,1086,1091,1100,1107,1120,1127,1131,1141,1153,1156,1168	1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,11,19,27,35,45,52,66,70,85,89,97,106,117,127,135,142,148,154,166,174,189,320,332,337,346,357,363,370,385,394,397,405,416,429,435,444,597,605,617,618,629,635,647,657,661,675,681,687,696,706,718,726,735,745,748,757,763,779,785,789,799,809,817,827,836,843,850,864,871,882,890,899,904,915,924,931,937,950,955,961,968,980,990,997,1006,1019,1023,1030,1037,1047,1054,1062,1071,1085,1094,1102,1111,1114,1122,1134,1141,1149,1158,1166,1175	1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,22,30,36,48,55,63,70,79,92,99,107,112,124,131,137,151,157,163,175,193,325,335,338,348,359,366,373,383,388,402,403,414,425,432,442,467,607,613,622,633,638,644,654,664,670,684,689,697,705,720,728,729,745,750,755,763,773,785,793,799,810,815,827,832,845,852,857,870,877,890,896,907,910,917,928,937,942,954,965,969,983,992,1000,1002,1013,1020,1029,1041,1049,1056,1067,1075,1085,1089,1096,1107,1120,1124,1132,1140,1150,1156,1166,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,14,21,30,41,46,58,65,71,80,87,100,108,118,123,133,145,151,159,163,176,315,326,330,343,345,354,366,376,378,391,397,409,419,423,433,442,596,609,615,625,629,642,644,658,661,675,679,693,700,707,712,721,731,738,748,757,769,773,782,796,798,809,818,826,832,845,850,864,867,881,889,893,904,908,924,932,941,943,952,963,976,978,991,1000,1010,1012,1022,1032,1044,1053,1055,1064,1076,1079,1091,1100,1111,1118,1125,1131,1146,1152,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,16,17,30,39,46,55,64,70,84,90,98,103,119,125,133,143,148,154,169,175,197,318,327,343,347,353,364,377,384,387,398,410,416,428,429,440,458,605,616,625,631,640,649,657,665,675,684,689,694,708,715,728,732,738,748,755,770,773,780,792,798,812,822,823,834,842,850,864,870,880,882,896,901,909,918,932,935,950,954,967,972,982,992,996,1010,1011,1020,1028,1042,1052,1057,1066,1076,1079,1089,1098,1113,1116,1123,1131,1144,1151,1162,1164,1178	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,25,32,36,47,58,61,73,81,92,99,106,114,122,134,140,149,157,169,176,316,326,333,336,346,359,365,370,384,391,399,407,415,421,429,443,599,608,610,624,633,635,650,653,666,670,681,692,696,704,715,720,729,739,747,759,770,771,782,791,797,806,818,824,837,844,856,862,865,877,888,899,901,912,921,929,938,943,958,965,972,982,992,1001,1007,1016,1024,1034,1040,1046,1053,1065,1078,1079,1088,1096,1106,1113,1124,1130,1142,1154,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,27,38,51,53,65,75,84,86,101,104,119,125,132,138,151,157,165,177,318,325,327,336,350,354,366,371,378,394,403,407,418,422,434,443,599,608,610,619,628,643,651,657,665,671,682,690,696,707,711,724,735,743,746,759,769,774,783,795,803,807,819,825,835,844,850,863,872,876,887,895,902,910,919,929,937,946,951,964,976,977,992,997,1004,1015,1020,1032,1037,1046,1059,1064,1070,1083,1088,1102,1110,1113,1129,1132,1140,1155,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,34,36,48,53,61,74,81,93,99,104,112,119,128,140,150,159,166,176,317,321,327,337,345,360,366,377,384,388,401,407,413,425,432,438,456,606,615,624,631,640,643,654,666,673,680,692,700,708,715,727,733,738,749,761,765,775,785,789,799,807,822,828,834,841,857,862,873,878,885,891,907,913,920,926,939,945,959,963,971,980,989,1000,1002,1010,1019,1033,1044,1049,1059,1066,1071,1080,1092,1099,1106,1114,1121,1132,1141,1152,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,28,41,48,59,63,71,79,87,94,105,111,124,129,142,149,156,165,175,315,325,335,338,346,353,363,369,382,392,398,410,419,425,434,444,596,608,611,622,633,639,648,654,664,672,681,690,703,707,718,727,735,737,749,754,769,775,785,792,805,811,817,827,839,846,856,858,866,877,883,898,908,915,919,931,941,947,954,967,969,977,990,1000,1006,1018,1023,1034,1044,1050,1060,1062,1079,1081,1091,1101,1107,1116,1123,1132,1144,1153,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,24,28,35,43,54,65,76,84,89,101,110,115,124,128,139,148,155,168,178,316,321,329,338,349,353,361,374,379,387,402,409,420,425,436,445,599,608,616,618,630,639,651,657,666,670,682,693,699,708,715,727,736,744,750,759,770,778,786,789,802,807,822,828,837,843,848,864,868,875,890,898,905,916,922,925,940,942,955,961,971,981,989,994,1003,1019,1026,1036,1039,1050,1060,1069,1077,1085,1088,1101,1109,1117,1124,1134,1143,1149,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,23,26,38,46,53,61,69,82,85,94,106,118,125,128,140,150,158,164,174,313,326,333,343,344,360,366,374,384,392,398,410,418,423,436,445,599,603,617,620,634,641,644,660,664,674,678,691,701,706,719,727,736,738,749,760,767,775,780,791,805,813,819,824,838,846,856,862,865,880,883,892,907,911,924,929,937,945,955,962,970,983,988,1001,1009,1012,1021,1036,1044,1051,1061,1062,1071,1085,1091,1102,1110,1121,1127,1138,1141,1151,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,33,39,47,57,67,75,85,92,98,105,114,120,134,143,146,155,162,173,318,324,326,342,346,357,368,374,379,386,400,408,417,426,431,441,597,606,611,623,630,641,643,652,666,670,679,692,696,706,718,723,729,744,747,759,770,777,787,795,799,812,819,829,837,846,850,860,866,882,885,893,908,914,919,930,939,945,956,963,973,982,992,993,1004,1017,1020,1028,1042,1049,1059,1068,1071,1080,1092,1102,1112,1117,1125,1135,1145,1148,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,33,36,45,57,60,71,85,89,98,105,118,123,128,144,148,161,163,178,314,321,329,337,347,353,366,372,384,387,396,410,413,421,437,443,598,608,612,623,632,640,646,657,664,675,682,688,702,704,713,724,732,740,751,755,764,777,782,789,797,807,822,825,837,842,856,857,870,882,886,899,901,914,921,928,939,946,958,964,968,984,988,1001,1003,1014,1025,1028,1040,1053,1056,1066,1072,1080,1088,1096,1105,1113,1127,1131,1145,1151,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,18,32,41,45,55,60,73,81,89,98,109,118,124,135,143,145,161,168,174,194,326,329,342,347,355,364,377,382,388,399,409,413,422,435,438,600,603,612,623,627,636,649,656,666,677,680,691,696,707,715,726,733,741,746,759,767,775,783,792,803,811,818,826,834,841,853,862,871,874,886,899,901,913,923,928,939,943,956,964,972,984,986,996,1008,1013,1021,1033,1044,1045,1055,1069,1070,1085,1091,1100,1112,1119,1126,1134,1144,1155,1156,1172	1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,19,30,39,44,59,60,69,80,91,102,103,115,120,130,137,147,158,167,170,313,325,333,338,348,357,363,370,379,388,403,409,415,425,436,441,447,609,611,618,626,641,645,660,668,673,682,693,697,710,716,722,729,743,746,761,767,773,782,789,802,808,814,830,837,842,852,859,873,876,889,891,901,909,924,931,940,951,956,962,974,983,991,998,1003,1016,1025,1030,1040,1047,1060,1067,1077,1079,1089,1102,1108,1115,1128,1136,1140,1150,1158,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,21,27,41,44,58,60,74,78,91,98,103,117,120,134,138,151,154,164,173,313,320,329,339,349,356,365,373,382,393,401,411,420,428,437,440,468,601,614,624,629,643,651,653,668,672,681,693,695,704,718,720,737,742,754,758,767,772,786,796,805,806,819,828,832,844,851,860,867,875,885,899,901,912,920,926,937,949,951,966,975,982,987,1001,1007,1017,1021,1029,1041,1046,1058,1065,1071,1082,1091,1102,1107,1117,1122,1135,1143,1148,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,31,36,50,54,60,69,81,92,99,108,117,126,134,141,146,162,165,172,315,323,327,338,352,353,365,370,378,387,400,405,414,425,436,439,600,603,612,625,633,640,645,657,662,675,685,687,702,703,712,728,735,739,746,759,763,780,786,792,805,812,815,827,831,844,853,858,870,882,890,893,905,912,920,927,936,946,951,965,974,983,991,997,1008,1012,1026,1032,1039,1051,1060,1065,1076,1084,1091,1099,1105,1116,1123,1138,1140,1150,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,31,42,45,57,65,73,81,87,96,109,113,124,136,143,146,159,168,174,317,324,333,339,352,357,365,377,379,389,398,408,412,429,432,445,597,603,611,624,631,635,643,656,661,669,684,687,700,704,712,727,735,741,748,755,770,775,785,788,798,811,819,829,833,848,851,861,869,882,889,898,906,910,919,928,942,944,958,962,969,983,988,996,1004,1012,1022,1033,1040,1052,1061,1068,1072,1083,1095,1104,1107,1114,1126,1137,1139,1147,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,21,33,38,43,53,67,70,80,86,98,105,116,124,136,140,146,161,164,171,184,320,334,335,349,353,365,374,379,394,399,404,414,428,432,445,454,609,614,625,632,636,649,653,668,672,685,686,700,704,719,727,734,741,747,762,766,775,785,789,801,808,814,831,833,848,854,863,872,875,888,898,901,914,924,932,935,946,952,962,969,978,989,996,1006,1017,1026,1032,1037,1051,1057,1070,1079,1083,1092,1103,1107,1113,1129,1137,1142,1152,1160,1165,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,19,31,34,43,59,63,76,81,93,97,109,111,127,135,143,145,155,163,174,318,321,332,336,343,360,365,369,384,391,395,406,412,421,433,445,598,604,614,625,634,637,645,656,662,674,685,694,695,705,715,728,729,737,747,758,771,775,781,795,803,807,820,826,836,840,852,860,869,876,884,891,905,916,923,926,935,949,953,966,972,979,986,996,1005,1016,1022,1031,1044,1052,1058,1063,1077,1085,1088,1104,1106,1114,1123,1137,1142,1156,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,27,41,50,58,68,69,83,86,93,106,112,123,132,139,151,158,169,171,315,319,327,338,348,358,368,377,381,390,395,405,418,426,431,445,463,608,609,619,629,641,651,655,664,671,685,694,702,704,719,728,729,738,749,757,771,773,787,790,799,813,817,829,835,842,852,858,868,877,888,893,904,913,918,926,940,950,956,963,972,980,990,1001,1002,1016,1025,1034,1039,1046,1057,1064,1075,1081,1095,1103,1106,1120,1129,1136,1145,1152,1164,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,24,30,42,50,53,68,76,80,92,98,110,111,127,131,137,148,160,170,177,316,319,326,338,346,356,362,373,385,391,403,404,416,425,430,441,454,603,616,618,632,637,645,660,666,671,684,690,698,710,718,720,729,741,749,763,767,779,786,792,799,811,816,827,832,847,850,864,871,880,891,899,904,908,922,933,937,950,957,960,971,978,989,999,1007,1016,1025,1034,1041,1048,1057,1067,1073,1080,1088,1100,1109,1118,1124,1136,1141,1150,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,29,39,47,51,60,72,84,90,94,106,116,127,135,140,152,154,168,173,316,324,332,343,348,356,365,374,384,391,396,410,416,427,435,438,596,604,610,618,628,638,646,654,665,670,680,693,697,704,720,721,730,743,753,757,769,773,781,793,797,810,817,830,837,840,853,858,872,878,888,898,903,912,919,928,935,946,957,966,971,980,993,997,1010,1019,1020,1035,1044,1045,1058,1064,1074,1082,1094,1102,1106,1120,1126,1130,1144,1152,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,33,41,46,59,60,76,83,87,94,108,116,126,130,143,148,155,164,175,317,326,333,340,347,357,367,371,379,388,402,407,418,428,431,438,598,601,614,625,629,639,643,654,667,677,683,694,700,709,720,727,732,741,749,762,765,773,782,789,799,814,820,829,832,847,857,861,871,875,891,896,905,910,922,931,935,949,956,964,975,981,988,998,1010,1012,1027,1033,1039,1046,1055,1068,1074,1079,1088,1104,1108,1115,1123,1134,1144,1155,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,33,42,46,52,66,75,77,88,101,103,113,123,135,139,153,159,165,172,315,323,327,339,344,357,368,373,378,388,403,411,418,424,430,438,458,601,612,623,630,641,645,659,664,669,681,691,701,707,713,726,730,738,749,755,768,777,783,789,800,806,819,829,832,841,850,859,868,880,884,892,906,913,919,929,934,944,952,965,970,984,993,994,1009,1018,1027,1029,1044,1047,1059,1065,1072,1083,1089,1098,1105,1120,1123,1134,1140,1154,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,28,36,43,51,63,73,82,91,101,106,116,122,133,140,148,160,163,175,318,324,330,343,346,352,368,372,383,393,396,407,416,423,434,444,597,601,614,622,628,639,645,660,661,671,679,688,699,709,718,728,730,740,749,762,769,773,786,794,802,811,816,831,836,841,853,859,871,880,888,893,906,913,921,933,941,946,955,965,970,984,987,996,1006,1014,1022,1029,1040,1047,1056,1068,1071,1081,1089,1102,1108,1121,1127,1137,1142,1151,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,28,38,48,55,65,75,82,87,95,103,113,125,132,141,148,153,169,177,316,322,328,340,345,360,368,377,380,394,398,409,416,427,435,444,459,604,614,618,628,638,644,654,662,671,679,691,696,706,716,726,730,742,747,755,765,780,785,789,803,807,821,825,831,847,852,861,871,881,889,898,907,913,924,928,939,943,958,966,973,984,985,994,1005,1015,1026,1030,1042,1048,1061,1067,1072,1085,1093,1103,1107,1113,1129,1137,1144,1154,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,22,27,41,50,56,62,72,83,87,99,103,118,121,128,143,149,160,164,178,316,320,331,338,352,357,363,374,380,390,403,409,416,424,434,441,468,603,617,622,631,636,650,652,669,672,679,689,700,708,718,720,732,741,750,762,765,776,784,793,799,808,818,823,831,843,855,858,868,876,890,896,908,913,917,925,937,949,958,961,974,976,991,999,1009,1013,1026,1033,1037,1052,1054,1062,1071,1083,1094,1100,1113,1120,1124,1132,1141,1148,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,32,39,48,54,66,75,77,87,100,109,116,123,130,137,145,154,169,172,313,325,329,343,350,357,367,374,384,386,401,406,414,421,433,441,600,606,616,623,630,639,650,653,668,672,679,686,702,705,712,720,732,740,750,755,770,773,781,797,803,806,816,831,836,843,851,860,873,877,885,896,906,916,923,930,942,944,954,959,974,979,989,997,1004,1014,1022,1032,1037,1050,1057,1062,1075,1084,1091,1097,1110,1113,1128,1130,1141,1150,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,24,28,35,47,57,64,75,83,92,102,105,112,123,129,140,152,159,170,171,316,321,333,336,345,359,366,377,379,391,399,406,415,428,434,445,598,607,615,620,633,640,649,660,664,674,682,693,700,708,712,726,730,741,750,759,770,776,782,790,799,809,818,831,837,846,854,860,870,875,884,895,900,913,918,928,941,950,953,959,974,984,988,998,1003,1013,1027,1035,1038,1045,1062,1069,1077,1079,1094,1098,1112,1114,1121,1135,1139,1152,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,21,29,39,43,53,67,76,80,91,101,107,118,124,130,139,145,155,167,176,317,322,327,342,351,358,367,375,382,387,402,408,415,428,433,441,467,608,617,621,634,635,652,658,660,671,680,686,696,705,717,727,734,743,750,756,765,776,785,794,801,805,814,829,831,840,849,857,872,882,887,898,903,914,922,930,940,947,955,961,970,984,989,999,1002,1016,1023,1033,1037,1050,1056,1066,1070,1083,1090,1100,1109,1116,1122,1138,1139,1151,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,31,36,47,55,64,73,81,85,95,104,116,121,134,140,150,161,166,172,179,323,332,342,347,357,363,369,384,390,396,407,419,422,432,445,450,608,616,626,631,635,649,652,668,673,681,693,702,706,717,723,729,741,753,761,770,775,780,790,802,810,814,831,837,840,849,864,867,877,891,893,903,913,924,927,937,947,955,962,971,983,992,996,1008,1011,1022,1030,1037,1049,1053,1063,1074,1087,1091,1103,1105,1118,1129,1136,1144,1154,1159,1169,1177	0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,12,21,30,37,43,51,66,73,83,90,100,104,114,125,132,139,146,155,167,174,179,322,332,343,351,356,364,374,384,391,400,408,413,421,435,443,599,602,614,619,629,635,650,656,667,675,684,691,694,705,713,726,733,744,749,757,768,772,780,792,804,807,821,827,836,846,854,864,872,880,888,896,900,916,917,929,941,946,955,960,972,982,985,998,1005,1011,1024,1034,1042,1051,1057,1064,1070,1086,1094,1099,1107,1121,1126,1137,1144,1149,1156,1172	1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0
6,15,17,27,41,43,59,63,73,81,91,96,103,112,122,133,136,150,159,170,179,182,324,327,343,344,360,366,374,381,389,398,409,417,421,430,443,597,602,612,619,633,635,650,655,666,677,685,690,702,708,715,724,735,738,752,754,766,775,788,794,801,813,820,826,833,846,849,864,872,881,883,898,907,910,920,927,934,948,952,964,976,983,988,998,1009,1012,1025,1029,1044,1049,1057,1065,1070,1084,1088,1103,1108,1118,1127,1131,1142,1151,1161,1169,1178	1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
7,12,21,28,37,44,55,59,70,78,87,96,108,116,127,128,139,146,159,167,175,185,318,333,341,349,357,364,374,382,392,396,412,418,426,432,444,600,602,609,618,634,637,645,659,666,673,678,686,698,707,716,725,729,741,751,761,769,777,782,792,804,812,815,829,832,846,851,859,874,876,886,896,905,916,921,926,936,942,951,960,973,981,991,994,1004,1012,1021,1035,1042,1045,1060,1065,1071,1080,1089,1096,1110,1116,1126,1134,1143,1154,1160,1166,1176	0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,15,19,31,38,49,54,60,72,82,91,101,107,117,121,130,141,152,155,165,176,191,326,334,338,345,353,362,370,386,394,397,410,413,426,430,438,447,606,612,624,631,639,646,655,664,675,682,693,699,705,714,728,733,738,746,754,765,778,787,792,805,812,820,827,834,843,852,864,868,876,883,892,900,908,918,925,942,944,955,960,973,981,989,999,1005,1015,1024,1030,1042,1048,1056,1068,1074,1082,1091,1101,1105,1114,1124,1131,1146,1148,1157,1164,1175	1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,19,28,35,49,57,67,68,81,92,97,108,113,125,134,140,149,157,162,174,193,322,327,337,352,353,366,372,378,387,401,410,414,427,435,445,449,604,617,618,631,635,645,652,667,671,684,694,697,710,720,726,731,741,748,757,770,778,781,793,802,806,822,828,837,841,851,858,867,877,889,892,903,911,916,930,941,943,955,965,975,977,989,997,1008,1013,1022,1031,1044,1048,1058,1070,1076,1082,1095,1098,1109,1117,1129,1137,1143,1152,1163,1168,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
8,11,20,30,41,50,58,67,74,84,90,98,106,116,124,128,137,149,156,170,179,181,325,329,341,347,356,363,375,380,394,399,408,417,428,432,440,596,605,617,622,630,636,651,655,668,675,682,690,701,703,715,725,732,743,753,759,764,772,781,792,800,811,818,827,838,842,855,857,870,877,883,897,900,916,921,932,938,945,955,966,975,978,987,995,1003,1013,1024,1030,1043,1052,1057,1068,1077,1083,1093,1102,1109,1118,1125,1131,1146,1155,1159,1171	0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,25,30,37,50,59,61,69,82,88,94,102,119,126,135,141,151,158,170,177,315,322,330,337,347,354,364,370,382,389,402,409,414,426,429,439,463,605,614,626,627,642,649,659,666,674,682,688,699,706,718,721,730,745,750,763,769,776,787,796,799,813,819,825,832,846,853,857,868,882,887,897,906,908,920,928,938,946,957,967,972,979,989,996,1009,1011,1026,1031,1042,1045,1054,1067,1075,1080,1094,1102,1105,1117,1128,1135,1143,1147,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0
3,16,24,25,42,43,52,67,76,83,90,95,107,112,123,133,137,153,161,163,179,318,323,330,342,350,359,362,377,383,387,399,412,417,423,430,443,600,604,616,619,632,638,648,656,662,669,686,694,698,710,712,726,733,742,754,759,763,775,784,790,803,806,815,829,832,841,853,861,867,881,883,899,908,916,921,933,940,946,953,966,973,979,988,994,1008,1018,1021,1035,1043,1052,1060,1070,1073,1081,1090,1099,1107,1120,1127,1131,1140,1149,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,33,40,50,52,62,68,81,87,99,106,114,126,128,140,150,156,168,172,318,325,330,341,345,360,369,377,385,392,402,405,414,426,431,442,449,604,612,624,630,635,646,659,662,677,682,689,702,710,715,723,732,741,746,762,766,780,787,793,802,814,821,827,831,840,850,862,873,877,885,896,900,915,922,932,935,944,957,962,972,983,992,1000,1007,1018,1019,1034,1041,1046,1060,1064,1071,1081,1092,1098,1105,1119,1125,1130,1140,1147,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,11,19,28,40,49,53,66,71,82,93,102,108,112,124,134,140,151,154,165,171,183,326,328,342,348,353,363,374,381,393,397,406,419,428,430,443,597,606,616,625,630,638,645,656,663,671,679,689,697,705,712,722,736,744,750,762,766,778,781,795,803,813,814,831,836,843,849,858,870,879,885,894,900,913,919,932,939,942,959,966,970,977,985,997,1010,1019,1024,1030,1041,1053,1054,1069,1074,1082,1090,1102,1105,1118,1128,1133,1140,1152,1162,1172,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,19,29,40,44,54,63,68,79,86,101,102,119,127,134,142,150,158,166,177,180,319,330,340,351,353,366,377,383,390,400,403,416,428,435,440,450,602,614,622,630,635,646,653,661,670,681,693,695,703,716,724,729,744,747,760,768,778,781,793,805,807,819,825,836,842,851,861,869,880,882,896,901,916,917,928,941,950,957,960,974,983,986,996,1004,1015,1023,1033,1039,1048,1060,1064,1079,1081,1092,1096,1111,1120,1125,1134,1140,1149,1162,1170,1174	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0
2,12,23,31,38,49,54,64,72,81,91,96,104,116,126,136,139,147,156,168,177,186,324,327,336,345,355,367,372,383,387,395,408,415,423,432,440,599,608,610,625,633,643,644,658,669,676,685,692,695,708,714,727,734,743,749,763,766,774,781,789,798,812,815,825,836,840,853,857,874,876,886,897,904,913,918,928,936,943,952,962,973,976,988,993,1009,1012,1019,1028,1037,1046,1060,1064,1076,1081,1094,1100,1106,1115,1128,1138,1145,1150,1158,1168	0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,19,31,37,45,58,60,76,81,85,98,107,119,124,132,141,146,159,162,178,197,325,333,336,349,354,365,371,385,387,396,406,417,425,435,439,597,603,612,622,632,641,644,655,661,675,681,693,703,707,716,722,733,740,750,761,768,779,787,796,801,806,818,828,833,847,850,861,869,874,885,892,905,912,919,928,940,944,957,962,973,982,989,1000,1006,1017,1023,1030,1044,1047,1056,1065,1072,1085,1091,1103,1106,1121,1123,1138,1145,1154,1161,1170	0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,11,20,29,39,49,51,65,75,85,86,94,106,118,124,130,140,148,157,163,178,194,323,326,337,346,360,368,369,378,387,401,404,418,425,434,438,468,609,612,621,632,638,648,660,665,671,677,690,702,705,719,727,734,741,753,762,764,773,785,795,798,814,818,826,831,845,851,860,867,878,887,896,907,908,921,932,936,949,955,962,972,983,988,998,1003,1010,1022,1032,1039,1053,1060,1062,1070,1085,1093,1103,1110,1114,1128,1137,1146,1150,1162,1171,1175	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
3,11,25,28,41,43,55,64,74,85,87,94,109,117,122,132,145,148,160,165,176,313,323,331,336,351,354,361,372,384,393,399,409,412,427,429,441,457,601,612,626,627,641,650,658,662,675,682,687,694,708,718,723,730,743,751,756,770,777,785,789,797,813,814,829,836,845,854,857,869,880,885,892,908,909,919,928,935,949,956,968,973,977,992,994,1009,1017,1025,1031,1041,1050,1060,1062,1074,1083,1094,1097,1106,1117,1122,1136,1142,1155,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,31,35,45,57,60,71,84,88,101,108,113,123,128,141,150,154,164,177,317,322,328,337,352,360,368,376,381,389,400,411,412,421,432,443,598,608,615,623,633,637,647,653,664,669,683,688,699,707,717,728,733,739,754,759,768,772,783,791,805,807,818,827,835,848,853,859,868,880,886,896,900,908,921,927,941,950,954,962,968,976,990,998,1006,1012,1026,1028,1044,1049,1056,1063,1074,1080,1088,1097,1108,1116,1128,1130,1141,1152,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,28,38,43,59,66,70,81,92,96,109,115,123,129,136,145,155,167,174,317,323,328,336,348,353,367,375,380,390,398,407,415,425,434,438,598,606,610,623,627,635,650,653,664,674,682,692,695,706,718,725,735,744,749,762,764,771,784,792,803,808,817,827,836,848,851,862,866,880,889,892,905,910,920,933,939,945,955,965,970,980,987,1000,1004,1011,1026,1032,1037,1048,1056,1066,1078,1086,1089,1101,1107,1115,1128,1133,1144,1150,1158,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,30,36,47,53,60,71,79,88,101,110,115,127,130,139,148,160,162,173,314,319,334,335,352,356,367,372,379,389,398,407,417,428,435,440,598,606,617,624,629,641,650,657,662,676,686,692,696,708,713,726,736,739,753,760,769,778,782,796,799,813,822,830,838,841,852,861,868,881,884,897,908,911,924,926,938,943,957,963,969,980,992,993,1003,1018,1019,1031,1041,1049,1057,1069,1070,1081,1089,1098,1112,1117,1122,1137,1141,1150,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,27,38,44,51,67,72,77,86,101,104,113,125,129,142,149,162,170,171,313,319,332,335,346,358,361,373,385,386,397,406,412,421,436,446,459,606,612,619,632,636,650,653,665,677,682,689,697,704,720,721,731,738,747,762,771,774,782,793,801,811,817,826,832,844,853,864,874,880,888,894,901,912,921,930,933,949,954,967,969,982,989,993,1004,1014,1023,1030,1043,1048,1057,1063,1072,1083,1094,1100,1113,1118,1127,1135,1141,1151,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,27,36,48,54,62,68,83,86,98,105,118,121,130,139,152,154,167,179,314,321,332,338,348,355,361,376,384,389,400,408,413,425,433,438,470,607,617,618,629,639,648,655,667,672,682,690,699,708,719,724,734,744,753,762,765,775,781,794,803,811,815,825,839,842,855,859,872,876,886,897,904,915,922,929,941,946,954,965,968,982,989,999,1006,1012,1027,1031,1036,1048,1053,1067,1075,1080,1088,1103,1105,1116,1126,1135,1145,1154,1162,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,23,25,42,45,55,68,72,82,93,95,110,117,121,131,139,149,155,168,178,314,319,328,336,346,353,366,375,385,388,403,410,418,421,437,442,598,602,615,621,629,642,650,660,666,675,678,688,699,710,717,725,736,741,751,761,763,774,781,794,804,806,814,824,840,844,855,858,866,874,887,893,907,916,920,932,934,948,958,962,974,984,987,994,1007,1011,1026,1034,1044,1049,1060,1067,1078,1086,1087,1097,1105,1117,1128,1133,1139,1155,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,25,34,36,44,59,66,69,77,92,96,104,114,120,128,142,146,157,164,178,316,320,330,343,346,360,363,371,383,393,398,405,414,429,433,444,599,607,616,619,630,639,647,655,668,670,680,687,695,705,712,725,732,744,750,759,769,775,781,789,802,812,822,827,836,841,853,861,867,875,886,892,906,908,918,932,939,947,957,960,975,983,989,1002,1009,1016,1025,1031,1040,1051,1055,1069,1075,1086,1094,1100,1105,1120,1122,1130,1141,1153,1158,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,29,40,43,59,66,70,77,85,101,107,114,123,128,138,151,158,165,178,186,323,330,337,351,355,363,371,386,392,397,408,412,422,430,440,465,603,614,618,632,642,649,658,664,673,682,694,701,710,720,721,729,740,752,761,768,777,786,795,801,811,820,828,835,840,853,859,871,877,885,895,902,912,919,929,939,949,959,967,976,984,989,999,1007,1010,1027,1033,1037,1052,1061,1062,1077,1083,1095,1099,1109,1115,1122,1132,1144,1154,1156,1172,1177	1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,21,25,39,48,53,61,73,79,91,98,105,111,127,136,144,150,158,169,171,316,321,330,338,348,355,366,375,383,391,396,407,419,421,430,444,463,606,614,621,630,639,651,660,661,672,681,693,698,705,716,727,731,738,751,756,768,779,788,796,798,813,822,824,838,840,853,861,867,875,887,891,904,909,923,930,935,942,956,964,973,983,986,998,1010,1019,1025,1032,1041,1046,1061,1065,1079,1087,1093,1100,1112,1113,1127,1138,1145,1148,1157,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,28,34,42,57,65,74,83,87,98,107,118,121,134,137,148,155,165,174,317,319,332,342,351,357,364,377,381,387,402,404,418,426,435,439,600,603,612,618,627,638,650,653,668,671,683,688,699,706,720,723,736,743,749,756,764,774,787,795,804,811,817,830,833,840,850,858,866,879,883,897,906,916,922,926,938,943,951,962,970,978,992,1000,1005,1012,1019,1035,1039,1049,1058,1067,1078,1080,1092,1100,1110,1117,1124,1133,1141,1152,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,33,37,46,57,61,74,84,90,98,109,117,120,132,143,148,155,166,173,317,325,333,336,348,354,367,376,383,393,400,408,415,426,431,439,598,603,615,620,628,643,645,654,664,671,680,687,701,705,717,728,730,737,750,758,765,775,788,793,803,813,816,829,833,842,849,864,867,874,883,892,902,916,924,928,941,945,958,960,974,980,986,995,1009,1011,1023,1032,1044,1046,1058,1063,1071,1079,1093,1098,1109,1117,1124,1134,1144,1152,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,28,39,48,56,68,74,84,88,95,104,115,124,135,138,149,160,166,173,316,321,329,335,347,354,364,375,379,386,400,409,419,426,430,444,596,602,612,621,634,638,644,658,666,677,682,687,696,707,714,722,731,744,753,759,767,779,784,790,803,811,816,823,838,840,848,863,870,877,889,892,905,915,925,932,937,946,958,967,973,977,987,1000,1003,1015,1027,1028,1043,1053,1060,1070,1078,1082,1093,1099,1107,1113,1125,1133,1142,1153,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,20,28,37,47,58,64,75,80,92,99,110,112,120,134,140,149,161,168,178,182,321,328,336,349,357,365,378,380,392,398,405,415,429,431,440,600,605,611,626,631,637,649,660,663,675,682,687,700,705,712,721,736,744,753,758,764,777,787,790,801,806,820,826,836,841,855,861,870,881,885,891,903,915,925,933,937,945,957,959,972,984,985,994,1004,1019,1022,1031,1039,1050,1056,1064,1076,1083,1089,1099,1110,1117,1128,1130,1142,1155,1161,1172,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,24,26,34,50,58,61,74,84,92,101,103,115,124,130,137,147,158,167,177,315,321,330,339,349,360,365,370,384,392,400,411,418,424,435,439,469,603,613,623,634,641,645,655,664,669,677,690,701,706,713,721,733,738,751,757,765,776,785,793,805,809,816,828,831,841,853,862,870,877,887,895,905,909,923,929,936,944,952,963,974,980,988,1001,1005,1015,1027,1033,1043,1051,1061,1068,1076,1080,1094,1098,1113,1116,1130,1137,1145,1155,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,29,41,47,52,66,69,78,88,98,106,115,124,132,143,148,154,163,176,316,320,329,338,350,354,367,372,383,390,398,408,418,428,432,440,598,603,617,623,629,638,650,655,662,675,679,689,697,705,717,728,733,744,747,756,763,780,783,792,801,814,821,831,835,847,855,863,871,882,888,891,904,909,920,928,934,950,959,960,973,979,990,993,1010,1013,1024,1032,1041,1045,1057,1067,1077,1079,1093,1097,1107,1119,1125,1133,1145,1149,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,27,42,43,57,65,71,84,87,94,106,115,120,129,142,150,161,167,176,313,323,332,339,349,360,361,370,383,392,399,410,416,426,433,441,596,602,609,626,631,640,650,656,661,677,685,686,699,707,715,721,734,738,746,761,768,774,786,797,800,813,817,827,833,844,849,864,873,880,886,894,901,914,920,931,939,942,959,961,971,977,987,993,1003,1019,1026,1027,1041,1045,1054,1065,1071,1086,1088,1096,1112,1118,1128,1132,1144,1150,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,17,32,36,50,52,60,74,80,88,99,108,113,119,134,144,149,160,169,172,313,323,328,339,351,360,366,369,378,389,396,408,413,428,433,438,596,607,612,624,634,639,646,652,665,676,681,693,699,710,720,721,737,742,748,759,769,774,781,797,799,808,820,829,839,845,850,864,865,878,883,898,902,916,917,926,940,949,951,965,974,981,989,993,1004,1012,1024,1030,1042,1046,1058,1069,1077,1085,1089,1102,1109,1118,1125,1137,1146,1155,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,20,28,34,45,57,62,70,82,89,99,108,116,122,131,141,153,156,167,178,313,326,334,337,349,356,366,372,380,393,403,412,418,426,433,444,598,604,613,621,629,641,648,660,667,672,682,692,702,706,720,724,731,743,748,760,765,777,780,796,805,812,818,826,835,842,849,863,870,875,889,899,907,910,922,926,941,945,953,964,975,984,986,996,1003,1017,1022,1035,1043,1051,1057,1066,1075,1085,1095,1097,1109,1118,1125,1132,1139,1154,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,19,26,40,50,52,63,69,78,90,98,104,114,127,131,141,145,157,168,175,314,318,334,340,344,360,362,378,386,389,400,405,414,428,432,443,468,609,614,619,628,641,651,653,665,672,680,690,700,709,717,722,730,745,753,760,770,774,785,789,797,814,822,827,837,843,850,858,866,879,890,899,903,915,924,932,935,950,953,967,973,982,985,998,1009,1012,1023,1030,1042,1048,1059,1068,1075,1086,1090,1103,1105,1120,1126,1133,1140,1148,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,21,27,42,48,56,63,68,83,85,95,104,118,122,129,137,150,154,167,178,315,321,331,342,349,359,362,377,380,388,402,412,419,425,437,445,467,608,615,624,629,638,648,656,665,676,685,686,698,709,717,725,736,743,750,759,763,772,784,791,805,810,820,828,831,847,849,862,869,876,886,892,907,910,923,932,939,944,951,962,975,979,992,1000,1009,1012,1025,1034,1042,1045,1054,1068,1072,1079,1088,1102,1104,1118,1130,1134,1144,1153,1163,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,27,42,51,52,64,74,80,90,97,109,117,122,130,142,148,162,164,175,316,322,333,335,348,358,363,377,382,391,403,405,412,421,434,440,597,606,615,624,629,636,647,660,663,677,685,693,699,711,717,721,729,740,753,757,766,779,785,789,800,812,818,826,839,845,856,860,866,880,884,895,903,912,917,931,940,950,955,967,976,980,990,997,1003,1011,1022,1032,1043,1047,1057,1064,1078,1081,1094,1096,1111,1117,1123,1134,1140,1150,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,31,38,46,57,68,76,80,90,100,108,111,121,134,141,153,158,165,177,315,324,330,336,348,356,362,375,380,391,396,407,414,425,430,438,599,607,615,620,628,635,644,660,664,670,684,686,701,711,712,724,732,740,749,761,763,778,783,797,800,807,816,829,833,848,849,861,872,881,883,898,902,912,920,928,937,947,959,963,968,977,991,996,1003,1015,1019,1033,1041,1045,1056,1067,1072,1082,1089,1097,1112,1113,1128,1135,1143,1153,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,26,38,44,57,59,69,77,87,95,106,118,127,129,145,149,159,167,175,315,321,329,336,345,356,364,370,378,391,401,406,413,425,436,439,598,604,614,618,633,639,643,656,663,674,683,689,701,708,719,721,734,738,750,761,766,776,785,795,804,810,815,830,832,843,852,860,870,875,887,898,902,909,924,929,936,944,958,959,975,979,985,999,1005,1014,1025,1031,1043,1051,1055,1063,1071,1084,1094,1099,1108,1120,1127,1130,1140,1151,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,20,33,42,48,55,60,71,79,89,98,108,119,126,128,139,145,161,165,171,313,326,334,340,345,356,367,375,385,387,402,410,412,427,436,446,600,603,616,624,632,640,650,656,666,675,679,693,697,704,711,722,731,741,749,760,770,776,784,791,800,807,816,830,831,841,852,858,874,876,888,891,902,914,922,928,938,946,953,966,970,981,993,994,1008,1012,1024,1033,1042,1052,1056,1066,1078,1079,1093,1103,1109,1116,1123,1134,1140,1154,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,20,27,34,48,51,59,70,82,87,95,109,116,124,132,142,152,157,169,171,314,321,332,339,348,355,366,378,382,387,400,408,419,425,435,438,600,601,614,625,634,638,648,659,668,673,680,687,702,706,719,721,730,744,750,756,764,778,781,792,799,811,817,827,839,842,853,861,869,874,887,894,905,914,922,933,938,948,959,967,974,978,986,998,1007,1012,1020,1030,1044,1047,1057,1062,1075,1086,1092,1101,1111,1116,1122,1131,1144,1148,1160,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,26,36,44,52,60,74,84,92,94,102,117,127,128,137,146,159,164,179,182,322,328,342,347,360,361,374,383,386,403,406,416,424,437,445,597,605,611,623,633,640,649,652,667,675,682,693,697,708,713,721,729,739,746,759,769,772,787,793,799,808,820,831,835,847,854,863,872,880,889,892,906,915,919,926,941,943,953,962,970,983,987,995,1003,1017,1025,1028,1043,1052,1056,1064,1077,1085,1094,1100,1105,1118,1124,1137,1140,1153,1158,1170	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
4,17,22,26,42,46,55,67,72,85,93,98,107,117,121,135,141,149,155,170,173,185,326,331,338,346,357,366,373,383,389,401,404,414,424,431,439,600,601,609,622,626,635,644,656,664,675,686,693,696,711,719,725,733,744,747,757,763,775,787,796,805,809,818,825,835,847,853,864,869,876,889,892,902,908,916,933,942,948,957,966,969,984,987,993,1007,1014,1022,1029,1039,1048,1061,1069,1073,1079,1093,1100,1109,1119,1125,1135,1144,1149,1162,1168	1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,24,31,40,48,53,66,72,80,91,94,102,111,126,131,144,152,154,168,173,189,319,333,340,351,360,364,370,379,387,395,411,413,423,437,440,597,602,617,625,627,639,651,657,667,674,683,690,696,708,713,725,736,738,753,756,765,774,788,790,801,810,819,823,839,847,854,859,872,882,890,895,902,913,921,930,941,943,958,963,972,981,985,999,1002,1018,1022,1036,1042,1047,1058,1063,1077,1086,1090,1102,1111,1119,1126,1133,1145,1155,1159,1172	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,22,31,35,48,51,63,69,79,88,96,108,116,120,136,141,153,161,168,172,181,323,328,337,347,354,368,370,386,392,399,403,418,422,436,442,596,606,611,625,634,635,643,652,667,677,682,691,697,708,714,726,732,739,746,755,767,779,783,790,797,806,819,826,834,841,855,864,872,875,883,896,903,909,917,930,935,948,956,967,973,977,985,997,1007,1016,1019,1033,1041,1048,1053,1069,1073,1082,1095,1104,1109,1113,1122,1132,1144,1148,1164,1165,1174	1,0,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,13,25,33,37,49,52,67,72,79,92,97,109,119,124,133,136,151,157,166,177,199,319,327,343,348,352,362,370,381,390,400,405,418,422,433,439,596,608,611,620,632,641,651,653,663,670,683,693,701,710,717,721,729,739,753,759,765,773,780,795,804,809,814,823,838,844,851,863,868,878,890,893,901,916,918,932,938,946,951,964,968,978,991,1000,1005,1014,1019,1029,1037,1048,1054,1062,1070,1083,1089,1099,1113,1114,1127,1136,1144,1149,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,17,32,35,44,54,62,70,85,90,94,110,114,126,130,138,148,154,163,178,182,322,327,340,346,357,361,370,380,388,396,403,413,423,437,442,451,608,610,619,632,636,651,655,665,676,684,688,697,711,712,728,731,739,749,756,764,775,783,794,799,806,821,825,834,840,849,861,873,874,886,896,903,915,920,933,935,950,956,963,969,976,986,995,1003,1012,1023,1029,1038,1046,1056,1067,1073,1086,1087,1104,1107,1118,1125,1132,1144,1147,1160,1167,1177	0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,24,33,38,50,57,62,76,78,88,99,107,119,124,131,139,146,155,169,174,183,325,332,341,345,354,363,372,384,387,402,405,416,426,431,444,599,607,617,621,628,637,647,658,667,677,678,686,694,707,711,720,732,741,747,761,767,775,784,795,799,810,821,828,836,844,855,860,869,879,885,897,906,909,920,929,939,944,959,967,972,984,993,999,1009,1011,1026,1029,1041,1050,1055,1066,1077,1079,1093,1097,1108,1115,1123,1138,1139,1154,1162,1168,1177	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,17,33,39,46,58,68,72,85,87,99,107,112,122,133,141,146,158,170,173,179,322,330,339,344,357,363,370,378,388,403,405,416,427,432,440,599,607,610,621,633,643,647,655,667,673,678,691,699,709,717,727,733,741,750,760,764,777,780,795,797,809,815,828,839,848,855,860,869,881,885,894,903,914,917,928,935,946,953,966,969,982,985,994,1002,1014,1025,1031,1044,1047,1056,1070,1074,1086,1095,1101,1108,1118,1128,1130,1141,1154,1158,1169,1176	0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,20,31,38,43,58,68,74,81,88,100,105,117,127,135,142,150,162,165,177,315,319,329,341,350,359,368,375,383,395,398,407,415,426,432,438,453,603,614,619,627,637,648,656,662,669,678,692,698,703,715,727,731,739,753,754,767,778,782,792,805,806,819,829,838,844,853,863,871,882,888,898,903,909,919,929,942,948,959,965,970,982,990,1002,1007,1017,1020,1028,1039,1049,1058,1066,1077,1084,1089,1102,1106,1114,1129,1137,1144,1149,1161,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,24,31,36,50,51,62,75,77,85,98,104,118,121,134,141,149,160,170,177,180,321,330,337,350,353,368,374,386,393,399,405,416,423,432,443,597,605,612,621,631,637,650,659,667,670,682,686,698,705,718,728,730,737,754,762,766,773,781,790,798,810,822,826,833,841,854,864,873,875,889,898,905,915,923,925,941,944,959,963,976,981,993,994,1005,1011,1020,1031,1043,1048,1056,1066,1074,1086,1090,1103,1107,1121,1128,1136,1142,1153,1161,1167,1176	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
5,13,17,27,36,50,53,61,76,85,89,100,108,117,124,135,142,149,158,170,173,182,322,331,340,347,360,365,376,382,389,399,403,419,424,432,446,597,604,613,623,631,636,646,655,663,673,685,690,696,705,714,721,731,740,748,755,768,771,785,791,802,805,819,825,831,840,854,858,866,879,883,892,904,908,923,932,942,947,955,962,974,979,987,999,1004,1011,1019,1033,1040,1051,1054,1063,1073,1080,1095,1097,1110,1116,1126,1135,1139,1148,1163,1168	0,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,18,27,38,48,55,61,73,82,86,96,105,116,122,136,143,153,159,168,178,182,324,335,341,350,360,366,375,379,393,400,409,412,420,429,445,447,606,615,624,628,643,650,660,662,671,682,692,701,707,720,723,735,738,753,762,763,771,785,795,801,806,817,829,837,847,854,864,870,875,891,892,901,909,919,927,940,949,958,961,968,977,985,1000,1009,1011,1021,1034,1040,1053,1061,1067,1070,1084,1095,1104,1105,1119,1124,1135,1140,1154,1161,1172,1178	1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,23,25,35,43,54,68,74,84,91,95,102,119,122,134,145,152,154,167,177,179,318,329,341,349,359,368,372,384,393,402,404,419,420,431,438,467,608,611,621,633,640,648,655,665,671,680,690,702,710,714,723,731,744,747,762,771,779,784,796,803,807,816,823,832,847,851,861,867,878,883,896,907,912,925,931,936,945,951,961,971,983,986,996,1006,1016,1019,1034,1039,1050,1057,1070,1072,1085,1089,1100,1111,1117,1127,1131,1145,1155,1160,1166,1175	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,24,32,39,51,58,64,73,84,93,101,108,111,120,134,144,153,154,162,172,202,318,327,337,348,360,366,373,383,388,402,405,415,428,431,439,598,601,616,625,626,636,646,656,661,676,684,687,696,707,712,721,734,738,746,762,768,776,780,789,802,806,817,828,840,845,852,864,871,879,885,898,901,914,924,926,939,948,953,967,969,979,992,996,1007,1014,1020,1028,1042,1051,1058,1065,1073,1085,1093,1100,1112,1115,1124,1134,1139,1147,1156,1172,1176	0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,21,30,34,46,51,60,72,84,87,97,108,116,124,129,144,148,153,166,171,187,321,332,340,346,354,366,370,383,391,401,410,419,428,433,438,462,605,617,619,628,637,648,660,662,672,681,691,702,711,718,727,735,738,746,758,771,778,783,795,797,809,822,831,833,845,853,861,870,881,886,892,902,912,919,930,938,945,951,965,974,980,986,994,1010,1016,1024,1030,1037,1049,1060,1067,1072,1084,1092,1099,1105,1116,1127,1130,1146,1153,1158,1164	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0
8,10,20,27,37,50,55,62,73,83,87,99,108,115,121,132,137,146,159,165,175,314,324,334,342,351,360,363,371,383,388,402,406,412,426,437,439,597,609,613,624,631,635,648,660,663,675,680,687,697,707,717,721,730,740,746,762,764,779,782,794,800,808,818,830,832,843,856,863,871,880,888,898,905,912,917,932,937,946,952,964,975,981,988,995,1005,1015,1024,1030,1036,1047,1056,1065,1077,1082,1089,1101,1110,1116,1125,1131,1141,1148,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,26,38,43,51,60,74,81,92,102,109,111,124,130,141,145,155,166,175,314,323,334,336,345,354,365,370,380,389,401,409,417,426,434,439,597,603,614,619,629,642,647,657,664,672,682,689,702,709,719,722,732,739,746,755,771,779,786,793,801,811,819,824,834,843,853,863,873,877,883,899,904,915,922,933,938,945,958,962,968,979,991,997,1003,1015,1019,1029,1041,1052,1053,1065,1075,1083,1091,1103,1107,1117,1122,1133,1138,1155,1159,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,31,36,50,52,66,68,79,86,94,108,114,127,129,140,150,159,162,173,313,323,329,338,344,359,361,374,385,388,396,409,417,429,437,444,598,607,613,622,630,640,648,653,664,672,677,694,696,709,719,724,735,737,751,762,766,773,786,791,804,811,821,829,833,842,854,860,873,878,887,893,902,910,924,933,942,944,956,962,975,980,987,1001,1009,1011,1024,1030,1038,1048,1056,1070,1073,1085,1089,1103,1105,1113,1122,1138,1143,1151,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,25,27,34,43,53,65,74,80,90,101,102,117,124,131,136,146,161,167,179,316,323,326,335,350,355,364,376,378,389,402,407,416,423,433,442,599,601,609,620,631,642,650,656,661,677,681,693,702,711,714,727,735,740,746,757,767,779,786,794,804,808,821,823,835,848,852,857,872,876,885,894,907,912,918,928,936,947,957,960,976,980,987,995,1008,1013,1020,1032,1039,1052,1059,1067,1073,1087,1094,1102,1108,1120,1122,1131,1145,1149,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,29,38,50,52,65,71,81,87,95,109,116,126,134,143,148,158,166,174,315,325,327,339,352,354,367,369,379,386,400,406,415,422,433,438,599,601,613,620,633,635,649,657,668,675,678,693,703,707,720,722,732,740,753,762,769,773,781,796,802,806,814,825,837,842,852,865,871,880,888,899,908,914,919,933,939,948,955,966,975,984,986,995,1006,1016,1024,1030,1042,1047,1053,1065,1075,1082,1092,1098,1112,1114,1124,1130,1140,1149,1164,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,28,37,48,58,65,72,82,92,96,105,119,122,134,140,145,155,162,175,316,326,327,342,347,357,361,377,383,391,400,411,418,420,432,444,596,607,617,619,632,635,650,660,664,669,678,693,698,708,718,726,729,738,746,761,769,777,784,793,805,809,822,827,832,840,856,857,870,877,883,898,906,911,918,927,937,942,952,964,973,984,987,995,1002,1018,1026,1035,1040,1052,1057,1065,1073,1079,1092,1101,1109,1118,1128,1132,1141,1150,1164,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,17,26,34,43,56,63,76,77,93,96,110,115,125,129,138,148,159,169,173,314,324,329,336,352,356,361,377,382,389,396,409,420,422,434,442,467,604,612,619,627,637,647,654,661,673,678,689,697,710,713,726,733,740,754,763,770,777,782,790,798,808,818,824,832,844,856,861,868,874,884,896,900,916,917,927,937,947,953,964,970,984,990,996,1009,1011,1023,1031,1040,1051,1060,1064,1072,1087,1095,1101,1112,1116,1123,1132,1144,1151,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,25,32,40,47,52,64,76,78,93,98,107,115,128,135,141,147,156,166,174,316,323,328,341,348,358,363,373,381,386,398,410,416,425,431,443,597,603,609,625,629,640,645,656,664,676,678,690,701,706,712,728,733,745,748,761,768,774,781,790,802,810,817,823,836,841,855,858,874,875,885,891,905,909,917,930,939,944,957,962,976,984,986,1000,1008,1015,1021,1031,1038,1050,1060,1068,1077,1085,1093,1101,1105,1120,1122,1131,1139,1147,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,33,41,42,59,65,69,82,91,95,110,117,121,129,136,148,158,164,175,182,325,329,337,347,360,367,371,378,395,402,411,418,424,430,439,471,603,614,621,627,641,651,653,666,669,682,690,703,709,718,726,735,740,747,755,764,777,780,790,802,811,818,829,838,843,854,863,867,882,886,898,904,910,924,930,939,947,952,966,974,978,987,993,1003,1010,1024,1028,1041,1045,1060,1066,1078,1081,1092,1102,1106,1119,1124,1136,1140,1153,1158,1172,1175	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,21,27,37,46,52,59,70,85,86,101,104,115,125,135,139,147,157,165,174,315,320,329,340,348,356,365,375,384,391,398,412,413,422,436,440,449,601,611,624,634,641,643,655,661,675,684,692,697,709,720,722,735,742,753,755,764,774,781,792,802,808,816,824,839,844,852,865,873,880,890,891,901,908,918,930,938,947,955,960,968,983,992,999,1004,1018,1020,1036,1041,1049,1059,1070,1075,1087,1088,1103,1110,1119,1123,1132,1147,1151,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,26,38,50,51,61,68,80,88,95,104,119,127,128,141,152,160,165,179,317,321,330,337,345,359,365,370,381,394,400,410,413,427,431,443,596,606,617,625,633,635,645,658,668,669,681,692,701,710,714,721,731,740,750,755,763,774,786,790,797,807,820,830,834,843,854,858,868,874,888,899,902,909,918,928,934,942,955,965,974,982,991,996,1006,1011,1026,1034,1040,1049,1054,1065,1071,1083,1093,1096,1111,1120,1129,1131,1140,1155,1156,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,32,36,48,59,68,73,77,89,98,107,117,119,136,141,151,155,162,171,315,323,334,337,347,360,363,372,380,393,398,412,416,426,430,442,596,601,617,618,633,635,646,659,663,676,680,688,699,708,713,728,735,745,750,756,766,775,784,792,804,811,821,830,834,843,849,858,873,880,884,896,906,910,920,931,938,943,952,960,976,982,989,999,1009,1016,1024,1035,1040,1047,1057,1066,1074,1081,1090,1099,1108,1118,1125,1133,1140,1153,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,29,35,46,58,64,70,81,88,96,109,117,123,133,136,147,157,162,176,313,326,332,343,352,356,363,372,385,394,403,409,420,424,436,443,470,606,609,623,627,637,646,652,667,672,683,687,695,707,712,727,734,740,747,760,768,778,786,789,803,806,815,828,839,843,857,860,867,881,891,892,904,909,919,931,934,949,959,965,969,980,989,1000,1005,1019,1023,1031,1044,1052,1059,1066,1075,1080,1090,1104,1108,1119,1122,1138,1142,1152,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,29,39,45,56,63,69,81,93,94,102,112,121,128,142,146,154,168,175,181,319,334,340,350,354,366,378,381,391,397,409,412,425,432,443,459,605,609,625,633,639,647,656,667,677,684,691,696,703,713,720,731,743,748,762,764,778,786,796,804,810,815,823,836,847,853,863,867,881,890,891,899,913,917,928,934,943,957,962,976,979,986,998,1008,1012,1020,1032,1043,1049,1061,1067,1077,1084,1090,1099,1105,1119,1125,1131,1140,1153,1159,1171,1178	1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,25,34,36,48,58,65,74,83,92,94,108,117,122,130,136,149,155,162,177,313,324,327,338,348,357,368,374,385,394,399,409,412,427,431,439,599,608,615,622,628,641,643,653,665,674,681,689,699,708,717,722,729,744,748,759,767,780,784,792,804,813,819,828,835,844,851,861,871,877,890,899,903,909,922,929,934,949,954,960,974,982,986,995,1008,1014,1022,1032,1040,1045,1057,1070,1071,1080,1092,1100,1110,1118,1121,1130,1142,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,21,31,39,47,58,68,75,80,91,96,105,113,126,133,140,151,160,166,176,314,319,334,338,349,353,364,376,386,388,403,409,415,423,435,443,459,604,613,625,633,642,648,652,662,675,678,694,702,706,715,728,731,738,751,758,765,779,781,792,797,814,816,829,838,842,851,865,868,881,883,896,901,908,922,932,936,943,954,960,972,984,991,999,1004,1017,1024,1033,1037,1048,1056,1068,1074,1086,1091,1098,1107,1119,1124,1132,1146,1148,1164,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,32,42,50,58,67,72,82,87,97,107,114,121,136,138,152,161,162,173,316,325,327,335,346,357,368,374,383,392,398,411,415,423,434,438,458,605,609,622,628,642,645,658,664,677,679,690,702,708,714,725,731,744,752,756,767,779,785,791,805,809,816,826,839,841,851,858,869,875,890,896,904,916,924,926,935,945,953,961,972,978,985,1001,1006,1014,1025,1032,1042,1052,1055,1062,1071,1081,1091,1096,1108,1117,1126,1132,1139,1155,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,24,29,35,50,58,68,76,81,90,98,109,112,126,136,141,145,156,170,177,318,320,327,342,349,358,364,375,380,389,401,405,412,423,429,439,460,607,616,621,628,640,650,658,667,677,681,693,699,709,715,727,733,744,746,754,767,778,784,790,799,811,816,829,832,843,848,860,870,874,885,898,900,909,918,929,936,944,957,962,969,980,993,1002,1003,1018,1022,1034,1043,1049,1057,1067,1075,1079,1094,1097,1106,1118,1128,1134,1143,1148,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,29,41,46,53,65,72,84,89,97,105,111,123,132,139,146,162,169,175,313,326,334,336,350,356,362,373,383,393,401,411,412,423,431,441,469,609,614,625,631,641,652,658,665,674,683,689,696,705,718,724,733,740,750,756,765,773,781,796,797,813,822,824,834,847,856,862,867,880,886,894,904,915,924,929,940,944,958,965,975,984,986,995,1002,1010,1027,1034,1038,1051,1055,1070,1072,1087,1093,1102,1113,1116,1126,1137,1144,1150,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,24,26,39,50,54,65,76,84,92,95,105,114,120,130,140,149,155,169,177,317,322,330,336,349,352,368,372,385,392,395,409,415,421,431,443,597,606,614,622,628,637,646,660,669,672,682,691,695,704,712,724,737,742,747,761,765,773,785,793,804,806,822,828,837,846,854,865,866,882,885,895,904,914,919,927,939,943,953,965,969,978,986,998,1004,1018,1027,1033,1037,1052,1053,1062,1070,1085,1094,1102,1112,1115,1129,1135,1139,1154,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,30,40,47,58,61,69,82,89,97,109,118,122,131,145,147,156,164,170,316,326,335,336,350,358,369,370,384,388,398,407,414,427,437,440,600,607,609,624,631,640,647,653,664,669,680,693,698,704,717,723,733,738,747,759,769,777,784,797,799,812,818,824,837,842,850,864,869,882,883,899,905,915,921,933,935,947,955,967,971,984,985,996,1010,1014,1027,1028,1044,1048,1061,1069,1073,1085,1091,1103,1104,1114,1123,1136,1143,1152,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,29,35,45,58,67,70,79,92,100,103,111,122,129,143,148,159,164,175,314,320,333,341,347,359,362,369,385,393,398,410,417,421,432,438,596,605,610,625,629,641,644,656,660,675,681,694,699,706,719,724,735,738,754,761,769,775,787,796,799,809,814,828,833,842,854,863,871,876,884,894,908,915,918,928,937,943,956,966,970,982,989,999,1003,1012,1024,1031,1037,1053,1058,1065,1078,1079,1090,1098,1112,1116,1126,1135,1145,1154,1161,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,31,35,46,52,64,73,77,91,100,107,117,125,129,142,152,160,166,171,315,324,328,343,345,359,367,369,385,393,396,411,416,427,436,444,597,605,612,620,631,641,647,660,666,671,680,689,698,711,716,724,735,741,751,758,765,779,786,796,804,806,819,826,835,842,855,858,868,879,888,893,907,912,921,928,937,943,954,967,968,984,991,1002,1006,1014,1024,1029,1037,1046,1060,1067,1073,1081,1096,1104,1106,1117,1129,1132,1140,1151,1159,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,27,41,48,59,62,75,82,93,102,105,116,120,130,140,147,161,169,172,315,323,330,342,351,357,369,373,382,392,397,407,416,424,429,441,447,604,612,626,627,640,648,655,662,674,679,693,699,707,714,728,736,744,752,761,767,779,780,790,804,808,817,825,834,840,853,861,873,879,884,896,901,911,921,931,938,948,954,961,972,976,991,998,1007,1013,1025,1029,1037,1052,1057,1065,1079,1085,1094,1102,1110,1117,1122,1131,1144,1148,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,18,31,41,49,57,63,68,77,87,99,108,112,123,135,140,152,161,163,171,317,319,334,338,348,354,361,373,382,391,397,408,416,428,435,440,598,603,613,619,633,635,644,657,667,669,685,687,699,709,715,720,729,742,747,762,770,779,786,795,804,809,818,824,836,842,855,859,867,877,883,897,900,909,924,929,934,949,953,961,976,980,992,995,1004,1019,1025,1030,1042,1049,1056,1066,1074,1080,1093,1096,1107,1115,1124,1137,1145,1152,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,25,37,51,55,65,74,82,93,98,105,117,120,130,143,153,161,163,174,316,319,330,340,345,357,367,377,385,387,397,403,418,420,433,441,600,604,610,626,634,641,651,655,667,673,679,688,699,707,717,727,735,738,746,760,764,778,785,793,805,814,821,830,838,842,853,860,872,882,883,896,905,914,923,926,935,942,952,961,969,979,989,995,1007,1018,1025,1028,1042,1052,1060,1062,1072,1086,1095,1100,1108,1115,1125,1132,1145,1149,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,30,41,48,56,60,76,81,91,98,107,115,126,129,136,150,160,166,173,179,322,330,343,345,360,362,372,380,394,403,407,416,426,435,446,454,605,611,622,629,638,651,653,665,671,680,689,702,708,714,723,730,743,753,756,765,775,786,789,800,812,822,828,839,843,853,862,873,874,884,891,906,911,918,933,937,950,955,965,972,980,992,997,1005,1011,1021,1035,1038,1045,1059,1063,1074,1080,1094,1099,1113,1116,1128,1131,1142,1152,1158,1168	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,21,28,39,50,57,60,74,82,92,94,106,114,127,135,138,147,154,164,171,188,319,334,340,344,360,366,377,385,394,401,410,414,421,429,438,600,606,610,619,632,641,644,653,663,676,678,687,695,706,716,726,733,744,751,761,768,773,785,794,800,808,821,826,837,842,854,864,869,876,888,893,907,910,921,929,934,946,951,967,968,981,988,1000,1005,1014,1020,1034,1043,1045,1058,1065,1074,1085,1088,1096,1105,1118,1124,1137,1139,1147,1156,1164,1175	1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,22,26,40,46,55,60,70,78,89,98,107,117,125,131,143,153,157,163,172,202,323,328,338,349,352,368,374,385,391,403,410,413,428,430,444,468,607,615,626,632,643,644,652,664,670,684,693,700,711,716,724,732,742,750,755,771,777,785,796,804,808,818,825,831,840,854,864,873,880,888,895,906,912,923,929,939,948,953,961,973,977,993,1000,1002,1016,1026,1030,1037,1046,1058,1065,1072,1086,1090,1103,1109,1113,1123,1133,1139,1149,1156,1171	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,24,31,37,50,59,61,73,77,93,101,105,115,123,134,143,149,155,163,175,180,324,331,339,351,353,368,369,378,388,403,410,418,427,431,442,458,607,609,623,632,641,646,655,663,669,679,690,702,705,718,728,735,743,752,755,766,776,787,791,799,807,819,831,838,845,854,865,866,877,886,896,902,916,921,928,942,945,958,961,970,985,986,995,1009,1014,1024,1031,1042,1047,1057,1062,1073,1085,1095,1096,1112,1120,1127,1130,1145,1147,1159,1171	0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,20,27,38,50,52,66,73,79,93,98,103,118,127,130,143,152,158,165,171,187,322,327,342,344,356,365,372,380,387,397,405,420,428,436,441,456,608,610,621,633,639,651,653,664,677,680,686,695,706,716,721,737,739,748,757,764,776,786,793,798,806,816,830,837,845,857,859,867,879,888,897,900,915,917,931,940,946,957,966,973,981,990,995,1004,1016,1025,1031,1043,1049,1053,1063,1077,1080,1093,1100,1106,1121,1122,1134,1146,1152,1158,1164,1176	0,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,30,39,42,55,59,72,78,93,98,107,117,122,133,141,149,157,164,176,182,323,330,339,348,360,361,375,383,391,401,411,412,422,432,442,600,602,612,626,634,642,644,655,667,675,683,692,698,706,720,723,735,744,748,755,763,780,782,792,799,813,817,828,837,840,855,862,872,876,887,895,903,909,923,930,935,949,953,962,973,980,989,994,1010,1017,1023,1032,1042,1051,1056,1067,1076,1083,1095,1102,1112,1121,1123,1131,1139,1147,1156,1164,1177	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
4,16,18,27,37,46,56,64,73,83,90,94,110,116,125,129,143,149,156,165,174,180,324,334,336,344,352,367,375,384,392,402,405,419,422,429,438,447,607,614,619,631,641,650,654,668,675,682,690,702,706,712,720,737,746,751,761,767,776,783,796,804,809,818,826,834,844,849,857,873,874,883,895,899,916,924,927,938,943,955,967,975,983,992,1000,1007,1013,1027,1035,1037,1048,1058,1066,1074,1080,1096,1098,1107,1116,1128,1135,1139,1149,1160,1168,1176	0,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0
3,11,18,33,40,49,56,65,73,79,92,97,110,112,121,131,140,147,158,162,178,188,321,330,342,350,359,362,372,378,391,401,409,415,423,430,441,600,603,615,619,629,637,645,658,662,675,683,692,700,709,714,721,732,739,754,757,768,774,783,795,798,811,820,831,833,843,850,858,870,875,890,893,904,912,923,931,940,945,954,964,968,977,989,993,1002,1017,1025,1032,1038,1047,1054,1062,1073,1082,1093,1101,1107,1121,1125,1138,1145,1154,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,25,27,41,50,56,61,74,83,88,97,110,113,123,131,144,150,159,166,172,316,324,330,336,345,359,367,373,384,394,400,405,414,426,437,439,597,606,610,625,626,635,643,657,668,670,681,689,703,708,712,728,737,744,750,754,769,777,787,794,802,808,814,825,836,843,849,862,871,878,891,895,902,913,924,932,934,949,957,963,970,984,992,1001,1006,1012,1019,1035,1038,1050,1058,1065,1076,1082,1089,1096,1110,1114,1124,1133,1145,1147,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,31,42,48,56,62,72,78,85,97,105,119,124,130,142,152,157,169,179,180,323,329,339,352,358,368,374,382,386,396,404,418,427,434,440,465,605,611,621,628,641,649,659,663,672,679,691,695,707,719,727,731,745,752,755,768,772,780,795,802,810,814,824,839,845,854,861,865,881,890,897,900,912,925,930,935,947,952,967,972,980,989,993,1008,1017,1025,1030,1036,1045,1061,1067,1073,1083,1088,1102,1110,1114,1126,1134,1143,1151,1162,1168	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0
2,8,23,26,40,42,54,64,69,85,91,99,103,113,126,132,139,149,161,167,170,179,322,327,343,344,354,362,369,383,389,399,407,415,426,436,441,600,603,612,623,632,640,643,660,663,675,683,691,698,705,713,727,731,740,752,757,763,775,786,791,805,808,817,824,836,842,855,865,872,875,888,898,903,916,918,930,934,943,957,961,969,981,989,994,1008,1015,1027,1036,1039,1050,1055,1062,1074,1080,1095,1104,1109,1117,1129,1131,1141,1154,1162,1170,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0
2,16,23,33,38,44,55,60,72,84,90,96,105,118,127,128,143,152,160,167,171,184,318,332,335,347,353,364,370,381,393,396,411,415,421,432,439,599,601,614,622,627,638,649,658,661,674,677,687,702,704,715,728,733,739,750,756,767,773,784,791,803,808,821,825,834,846,852,861,868,876,885,897,903,908,920,927,934,946,959,962,968,977,986,999,1008,1015,1021,1035,1038,1047,1056,1067,1075,1080,1095,1102,1107,1116,1124,1138,1146,1147,1158,1164,1173	1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,21,29,37,45,58,66,68,77,89,96,110,114,122,134,142,151,158,170,177,183,323,333,343,350,357,363,375,384,387,399,410,420,424,433,438,599,608,613,619,632,635,645,657,667,671,682,692,699,707,712,726,732,742,751,757,763,775,788,791,798,814,820,830,831,848,851,859,865,878,887,892,906,915,920,933,940,946,957,963,976,978,986,997,1009,1016,1026,1028,1038,1049,1060,1062,1071,1085,1089,1102,1111,1116,1122,1136,1139,1150,1163,1170,1175	1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,21,25,41,46,59,65,70,83,88,97,110,117,123,129,142,151,160,163,177,186,324,329,341,344,358,368,373,386,390,400,407,412,423,433,444,596,602,614,622,628,639,647,656,666,675,678,687,701,705,717,724,737,745,750,761,767,778,785,793,799,813,815,828,834,846,857,861,870,877,887,898,905,913,925,928,941,943,952,966,970,980,989,995,1005,1013,1022,1031,1039,1051,1060,1069,1078,1082,1087,1097,1107,1114,1123,1132,1146,1150,1156,1165,1176	1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,16,20,29,39,46,57,65,75,81,86,99,107,114,126,134,136,150,155,164,178,189,320,329,340,346,352,363,376,383,389,402,404,416,425,435,444,460,601,610,618,628,638,648,658,668,674,686,693,695,709,714,723,729,738,747,758,770,775,788,789,801,814,821,824,834,845,856,865,868,877,888,898,902,914,924,927,934,945,959,961,973,980,989,996,1004,1014,1020,1031,1042,1052,1059,1066,1078,1083,1091,1096,1108,1113,1123,1136,1144,1155,1163,1169	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,18,30,40,48,53,60,71,85,88,97,110,116,123,136,144,150,154,169,177,315,321,333,338,351,359,369,370,384,391,398,409,414,424,433,438,598,602,615,619,631,641,646,659,665,674,685,688,697,704,718,728,729,745,752,759,765,778,784,791,799,808,815,828,839,843,849,862,873,879,889,893,907,915,923,929,941,943,952,965,976,979,993,1001,1005,1014,1023,1036,1040,1048,1055,1069,1076,1086,1092,1100,1108,1115,1125,1130,1143,1155,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,27,36,43,58,67,75,82,91,94,110,112,121,131,144,148,162,170,173,315,325,326,336,350,353,362,377,381,388,397,406,416,428,431,438,449,608,613,623,630,635,649,657,663,669,683,689,703,711,717,720,730,744,753,759,771,777,787,792,800,807,816,822,838,840,848,863,867,877,890,895,904,915,920,933,942,946,952,965,971,979,993,994,1007,1015,1025,1034,1036,1046,1056,1065,1075,1086,1093,1102,1107,1120,1122,1131,1145,1152,1161,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,25,26,38,48,57,66,73,84,87,99,103,116,124,130,142,145,161,168,177,318,324,333,342,349,355,361,373,378,388,402,411,416,424,430,438,469,601,617,619,631,643,651,657,662,677,686,689,695,710,715,728,733,740,747,754,768,777,786,791,798,806,814,828,838,845,854,860,872,877,890,897,907,913,923,932,942,946,954,963,973,978,987,994,1007,1011,1019,1031,1038,1046,1053,1066,1074,1081,1096,1097,1105,1114,1129,1136,1139,1154,1157,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,32,39,49,57,62,75,80,86,96,108,116,124,132,140,146,159,169,174,313,320,330,339,345,354,368,370,380,388,401,404,417,425,430,438,471,604,611,624,632,638,644,654,667,674,685,694,701,708,716,723,736,742,754,761,765,772,780,792,801,810,814,826,837,845,851,858,866,877,890,895,906,910,923,933,934,948,952,960,972,978,993,999,1004,1012,1024,1029,1036,1047,1057,1070,1077,1081,1092,1101,1106,1121,1124,1137,1141,1151,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,29,35,49,52,60,76,80,86,102,106,111,121,128,137,149,156,169,172,317,325,330,340,348,358,366,373,385,389,395,409,413,424,434,444,599,603,613,625,634,639,645,653,668,670,680,686,702,709,715,726,732,742,749,761,767,773,782,796,798,806,820,823,832,844,856,860,867,875,889,897,908,911,922,929,939,943,956,967,970,984,988,999,1008,1012,1022,1033,1040,1051,1054,1064,1078,1080,1091,1101,1110,1115,1123,1138,1140,1154,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,29,34,44,58,66,74,82,93,100,103,113,125,136,142,145,159,165,175,317,322,333,342,350,355,365,372,382,394,399,412,415,421,435,443,598,603,614,620,628,635,651,658,664,676,678,690,695,709,713,728,737,742,749,759,767,777,783,788,801,813,821,823,835,842,855,864,870,880,885,892,904,912,924,926,934,950,956,963,968,983,990,994,1002,1011,1023,1033,1037,1050,1057,1069,1074,1083,1089,1099,1110,1113,1125,1130,1146,1152,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,19,34,37,42,57,60,76,79,93,99,106,112,123,134,140,147,153,170,173,316,318,333,335,346,357,361,374,383,390,396,404,418,423,434,438,597,601,609,625,631,640,650,656,661,675,678,692,699,710,712,722,736,742,749,757,763,777,783,789,802,809,822,828,839,845,852,860,867,877,887,899,905,915,920,930,939,949,954,966,972,984,990,999,1007,1011,1024,1033,1037,1052,1060,1062,1077,1080,1091,1099,1110,1113,1125,1134,1140,1150,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,29,38,44,53,66,70,83,88,97,109,112,126,135,144,150,154,166,178,315,325,333,335,351,355,361,370,381,390,400,404,419,422,434,438,597,605,612,625,627,643,647,657,664,673,684,692,695,705,720,722,729,744,753,755,765,773,781,789,797,812,818,831,838,846,854,862,868,878,889,893,900,913,921,932,934,946,956,960,971,979,989,999,1004,1012,1026,1030,1039,1050,1061,1067,1077,1083,1090,1096,1110,1117,1124,1134,1143,1150,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,27,40,43,54,64,71,79,86,101,105,113,122,133,136,149,160,163,175,184,322,330,341,348,354,361,375,383,387,401,406,417,421,437,441,598,606,614,623,632,636,648,658,661,670,683,690,700,709,713,724,729,738,749,756,765,779,785,793,803,812,820,826,838,840,857,865,870,875,888,897,905,910,918,926,937,943,953,963,973,977,993,998,1004,1013,1022,1031,1041,1048,1057,1062,1075,1082,1090,1104,1105,1114,1128,1135,1142,1147,1160,1169,1178	0,0,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,20,29,36,47,53,64,70,77,86,101,105,119,123,129,144,145,157,167,175,314,318,327,341,344,355,365,371,383,387,402,404,412,426,430,442,460,602,613,622,631,637,644,656,661,674,677,690,700,707,716,725,736,743,747,759,768,775,781,795,800,813,817,827,833,846,852,862,870,874,885,899,906,913,924,931,934,943,955,964,972,979,989,996,1004,1019,1021,1029,1043,1049,1058,1062,1078,1079,1091,1103,1107,1117,1130,1132,1145,1151,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,27,38,45,58,63,76,84,85,100,106,118,123,129,138,149,161,167,176,315,324,333,342,344,354,365,376,378,391,401,405,416,425,436,439,600,608,617,624,631,637,646,653,661,669,680,692,699,710,720,724,733,738,750,755,768,775,784,791,797,809,820,823,838,842,852,857,869,877,889,894,901,913,921,929,938,946,955,963,973,982,985,1000,1004,1015,1020,1032,1037,1052,1058,1068,1073,1082,1093,1096,1105,1119,1125,1137,1145,1149,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,17,33,35,44,52,68,69,82,91,101,109,113,126,129,140,150,156,165,174,316,323,331,341,344,360,361,371,383,390,403,411,417,425,436,440,596,606,614,618,633,636,645,660,666,674,684,688,695,708,712,726,734,740,750,757,765,777,787,794,805,809,819,829,834,848,853,857,872,879,889,891,904,915,925,931,937,943,958,968,971,984,986,997,1005,1015,1024,1036,1039,1046,1058,1066,1071,1086,1091,1102,1106,1118,1123,1131,1141,1154,1157,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,30,37,46,56,62,70,77,90,94,107,112,126,131,142,146,155,166,172,316,320,329,337,345,357,364,369,378,391,399,409,417,425,432,439,600,605,613,624,631,638,647,660,666,672,685,693,700,707,712,723,729,737,749,757,767,773,783,794,799,811,818,828,833,846,855,860,871,874,884,895,905,916,923,925,937,947,958,961,971,979,987,994,1009,1017,1023,1033,1041,1047,1055,1069,1075,1082,1094,1097,1111,1117,1126,1136,1143,1155,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,27,34,47,58,61,74,83,90,95,107,113,119,129,140,146,157,165,176,179,322,328,336,351,358,363,377,380,395,401,407,419,428,435,442,596,600,612,623,634,641,645,656,669,672,686,689,702,708,715,726,731,739,748,762,763,773,781,791,799,809,821,830,838,843,851,865,871,874,890,896,900,911,918,930,940,945,954,962,974,982,993,1001,1008,1012,1027,1032,1042,1049,1056,1064,1076,1084,1095,1101,1110,1119,1128,1138,1141,1149,1158,1166,1177	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0
7,15,19,28,34,50,58,64,72,79,89,98,109,116,122,134,136,146,156,167,172,316,320,335,343,346,360,367,377,381,393,403,408,417,421,435,442,461,607,609,619,629,641,649,655,666,677,685,686,697,711,712,727,734,737,747,762,763,773,784,792,800,813,816,825,833,848,849,863,872,881,886,899,901,912,923,925,939,949,956,964,972,978,985,998,1005,1016,1023,1030,1044,1049,1061,1067,1070,1082,1089,1098,1108,1115,1124,1134,1139,1153,1160,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,24,28,40,44,55,61,75,79,91,94,110,117,126,133,141,153,157,162,173,314,326,330,335,348,353,367,369,382,392,396,404,412,424,433,446,596,604,612,621,631,639,646,659,663,672,678,690,702,711,716,727,731,738,747,760,769,773,780,795,804,806,816,824,833,842,849,863,866,881,888,897,903,912,923,926,939,948,957,963,970,982,986,1000,1007,1016,1026,1032,1037,1047,1059,1068,1071,1082,1094,1098,1106,1119,1126,1131,1145,1154,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,26,39,48,54,60,75,79,92,98,106,115,123,128,139,146,161,166,179,317,325,328,342,345,356,367,376,384,394,400,404,420,426,436,441,459,608,617,618,633,638,645,657,667,676,683,691,694,709,720,727,731,741,746,761,763,779,786,793,804,806,819,829,837,841,854,863,869,881,887,894,905,911,923,927,941,946,951,964,972,982,986,996,1010,1012,1020,1031,1042,1045,1053,1065,1072,1084,1091,1102,1112,1116,1124,1138,1146,1153,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,32,41,44,54,67,69,77,89,96,106,115,126,132,140,145,156,163,176,316,323,329,337,345,355,361,373,386,388,401,407,416,423,429,443,448,601,616,625,630,639,643,653,661,675,678,691,696,704,719,725,732,741,750,759,768,778,781,794,799,806,817,824,837,846,850,858,870,880,885,897,902,909,918,927,939,943,958,967,972,978,989,999,1005,1017,1025,1032,1041,1052,1054,1064,1071,1087,1090,1103,1105,1117,1122,1131,1147,1151,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,28,39,46,56,63,69,78,87,96,104,115,127,133,139,152,160,164,172,313,318,332,343,350,355,368,373,378,394,397,406,419,425,429,444,600,607,611,622,628,640,646,656,667,673,685,693,697,708,716,722,735,740,752,756,768,775,784,788,800,806,814,829,834,840,851,862,871,876,885,899,905,909,924,931,936,943,954,965,971,981,993,995,1003,1017,1021,1032,1036,1050,1054,1065,1075,1083,1087,1097,1112,1114,1128,1132,1140,1153,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,18,28,41,44,54,66,75,82,89,94,107,115,119,132,144,148,156,164,176,313,324,334,342,348,352,368,372,378,387,399,409,415,423,435,438,600,606,613,623,631,635,644,655,666,670,682,689,703,708,712,728,730,744,746,761,768,777,783,793,803,813,814,829,836,846,854,859,868,878,883,892,903,916,918,929,940,945,958,963,968,984,987,995,1004,1019,1024,1031,1041,1046,1057,1066,1072,1079,1092,1102,1110,1113,1123,1133,1146,1150,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,31,36,47,55,67,76,77,89,97,110,116,123,133,142,152,160,167,178,317,322,330,340,344,352,367,374,384,393,399,410,417,421,437,441,599,609,615,621,633,640,649,655,663,672,684,691,698,711,712,722,730,737,753,755,767,778,782,790,805,807,822,827,836,845,849,864,871,878,888,896,904,916,920,930,934,946,954,962,971,981,992,1001,1008,1016,1023,1029,1039,1046,1055,1069,1073,1086,1093,1102,1106,1118,1126,1135,1142,1152,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,30,34,49,56,63,69,84,90,100,110,113,120,129,137,151,161,170,178,316,323,328,335,347,359,367,373,379,394,401,411,415,424,435,438,599,602,612,624,633,642,649,654,665,675,683,691,695,708,715,721,735,741,748,755,771,779,788,791,801,805,814,825,834,842,855,860,873,879,890,897,902,909,918,933,936,950,951,965,974,978,993,999,1010,1013,1020,1028,1041,1050,1059,1062,1078,1086,1091,1097,1108,1117,1125,1134,1142,1155,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,19,32,37,51,55,61,76,84,88,98,110,112,124,132,142,150,161,164,179,313,319,332,343,347,358,368,374,379,390,402,406,417,421,435,443,596,603,613,625,633,636,644,652,664,673,682,693,702,710,713,728,731,741,750,763,771,775,784,797,805,812,817,824,832,842,851,864,871,874,889,895,902,911,920,926,940,950,956,967,970,985,990,996,1002,1013,1024,1034,1039,1053,1060,1063,1072,1083,1088,1101,1108,1113,1130,1138,1146,1147,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,26,36,49,53,67,73,84,93,94,106,118,123,128,139,146,155,165,170,317,321,329,343,350,357,367,372,378,387,399,404,417,427,437,442,454,606,617,620,633,641,652,655,662,674,683,691,697,708,713,723,733,743,751,763,769,778,781,792,800,812,817,825,831,848,850,864,869,881,890,895,900,911,923,928,939,949,951,962,971,976,992,1001,1009,1019,1021,1028,1041,1050,1054,1070,1072,1080,1091,1101,1110,1115,1124,1135,1142,1154,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,31,34,50,59,67,68,78,88,99,105,117,125,129,142,147,156,163,171,313,321,327,336,346,360,368,373,378,394,399,411,414,426,431,444,597,603,611,624,630,640,648,659,662,673,680,689,700,707,714,720,730,743,752,754,771,774,783,793,801,807,815,823,832,840,849,857,872,877,884,893,907,908,925,926,942,944,958,962,972,981,985,1001,1006,1019,1027,1030,1040,1050,1054,1069,1076,1085,1091,1102,1111,1118,1129,1136,1141,1150,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,19,32,38,47,56,65,69,79,87,98,103,112,121,134,141,151,154,164,175,317,322,332,338,348,358,363,372,386,392,401,411,416,424,437,443,600,601,615,619,632,636,644,659,662,673,679,687,696,705,715,727,732,741,751,759,765,779,784,794,799,812,818,827,839,844,852,863,873,878,884,896,904,910,920,932,937,947,958,964,973,985,993,996,1010,1018,1027,1033,1043,1051,1054,1066,1075,1079,1092,1098,1112,1116,1123,1137,1140,1154,1157,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,33,38,50,58,62,70,77,88,94,106,117,124,131,139,146,159,164,175,187,321,328,336,349,355,368,370,383,391,399,403,414,425,431,446,597,605,616,625,633,637,647,659,668,674,679,690,702,708,715,728,735,743,753,762,765,774,782,792,799,813,820,828,837,847,856,863,868,877,888,897,903,912,922,929,938,947,954,959,974,981,990,998,1009,1015,1024,1032,1036,1049,1059,1063,1073,1083,1090,1104,1107,1115,1125,1135,1140,1151,1157,1167,1174	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,19,28,39,50,55,67,69,77,87,101,103,116,126,128,139,147,154,164,172,315,323,333,343,351,359,363,374,378,387,400,409,415,421,434,441,453,606,615,622,634,639,644,653,668,673,683,687,699,709,716,725,734,742,753,755,769,778,784,796,800,813,821,823,834,841,857,859,873,875,884,899,904,916,922,929,939,945,952,964,972,984,991,995,1009,1015,1021,1032,1043,1053,1055,1067,1076,1081,1092,1097,1108,1120,1125,1132,1141,1153,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,16,17,33,38,45,54,67,75,77,86,95,107,117,120,129,142,145,157,169,175,188,321,329,338,351,352,365,371,378,394,403,409,417,420,429,438,451,601,616,621,633,636,649,656,665,673,685,692,701,709,716,720,729,740,749,758,769,780,787,790,797,813,817,823,837,843,855,864,871,876,883,897,901,913,923,928,934,950,954,967,972,979,986,994,1008,1012,1024,1028,1040,1051,1058,1070,1077,1080,1088,1102,1109,1113,1124,1134,1140,1153,1158,1168	0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
7,14,22,29,35,48,59,61,70,77,85,99,104,119,121,132,138,145,155,165,175,186,318,334,335,351,356,361,372,382,389,400,409,412,428,435,441,600,607,614,624,627,639,646,656,666,670,683,693,703,708,718,724,731,741,748,754,763,773,783,790,805,809,816,829,839,846,856,865,873,877,886,899,900,911,925,929,939,948,959,965,973,978,987,996,1002,1018,1027,1032,1038,1045,1054,1069,1072,1081,1095,1097,1108,1117,1123,1136,1141,1155,1158,1172,1175	0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,23,26,39,44,52,67,73,84,85,98,104,113,122,128,137,146,156,166,173,180,324,328,339,350,353,362,377,385,387,395,404,417,423,435,446,468,601,616,622,628,640,646,659,661,674,684,693,697,711,715,723,736,741,752,758,770,774,784,793,798,814,818,828,835,841,856,861,872,879,888,898,904,914,922,926,939,949,952,965,973,982,988,994,1010,1013,1021,1030,1043,1049,1059,1067,1076,1085,1090,1098,1107,1114,1122,1131,1145,1148,1156,1168,1178	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,16,23,33,40,50,53,63,70,81,90,97,104,112,126,131,141,149,161,163,177,187,322,334,337,351,359,369,370,383,391,397,409,420,423,436,439,596,607,612,623,627,636,647,655,663,672,686,692,703,710,714,728,730,738,754,757,763,774,788,792,798,808,821,828,839,844,848,859,867,877,888,893,908,916,917,930,936,946,954,965,975,982,986,1001,1002,1013,1027,1035,1042,1047,1061,1064,1078,1082,1095,1098,1111,1116,1129,1132,1143,1151,1161,1167,1176	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,25,28,41,46,56,64,75,78,88,96,110,111,121,128,136,152,162,169,173,182,326,332,341,350,356,367,377,379,387,397,411,415,427,432,441,600,605,617,620,628,636,647,654,667,671,681,691,701,707,713,727,734,743,752,755,766,775,785,793,802,809,821,829,838,844,856,865,871,875,884,897,900,911,920,927,941,942,951,962,975,983,989,997,1002,1017,1026,1028,1042,1048,1059,1064,1075,1082,1090,1104,1112,1120,1124,1135,1140,1154,1160,1166	1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,10,24,30,38,46,55,63,75,83,92,96,107,116,127,133,143,149,154,167,179,183,318,334,343,347,353,364,375,384,387,395,407,414,422,432,440,597,603,609,623,630,640,648,655,665,674,683,693,703,710,712,723,735,739,748,756,763,777,784,790,802,812,814,830,838,845,853,863,869,876,886,894,904,913,924,927,937,944,958,964,972,982,985,998,1010,1014,1021,1029,1042,1045,1061,1066,1074,1084,1095,1104,1105,1117,1123,1130,1144,1152,1163,1166	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,13,24,27,36,48,58,67,71,78,93,102,109,117,126,135,137,146,161,162,172,317,321,331,340,349,357,362,370,383,395,402,411,413,428,436,442,596,601,612,622,633,640,648,658,667,673,683,688,702,709,713,720,730,740,753,756,769,773,788,797,799,806,822,823,839,844,854,863,868,874,888,898,904,914,923,926,935,950,953,967,968,976,992,1001,1003,1016,1025,1034,1044,1049,1054,1062,1074,1084,1094,1103,1108,1114,1121,1131,1142,1153,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,32,39,45,53,62,68,82,91,97,102,117,125,135,143,146,155,169,172,197,323,331,337,348,360,367,378,384,386,398,410,415,425,434,444,597,604,617,622,628,639,651,656,666,672,683,690,702,709,720,723,730,744,751,759,763,777,788,793,801,810,816,826,831,841,857,862,871,879,885,894,902,908,916,931,936,948,954,967,976,983,993,994,1008,1012,1020,1032,1040,1047,1060,1062,1071,1079,1094,1099,1107,1120,1128,1136,1140,1150,1160,1169,1178	0,0,1,1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,9,25,34,40,46,57,62,71,83,89,99,110,112,124,128,139,148,161,165,172,183,322,331,335,345,358,366,375,379,394,395,409,413,422,431,439,596,604,611,621,634,635,648,657,664,669,680,691,699,706,718,722,729,741,750,755,767,778,781,790,800,808,814,830,833,844,850,859,871,881,888,896,906,913,918,933,938,949,954,964,968,985,992,999,1006,1011,1023,1031,1036,1052,1054,1067,1075,1080,1094,1102,1108,1114,1124,1135,1141,1150,1158,1167,1176	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,16,24,25,36,48,53,61,74,81,91,95,107,119,124,135,144,151,158,170,171,184,319,327,338,344,359,365,372,385,392,396,410,417,424,433,440,597,601,612,618,627,640,647,657,665,671,680,693,701,705,716,728,734,745,752,755,763,775,785,795,802,809,821,826,832,847,851,857,870,874,884,893,905,912,920,933,938,948,959,964,970,984,985,995,1003,1012,1019,1030,1043,1050,1055,1063,1073,1083,1094,1102,1105,1114,1123,1134,1140,1153,1159,1164,1173	0,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,13,21,30,41,49,56,63,68,83,91,97,107,116,120,130,141,150,160,163,173,185,318,330,340,351,359,363,374,382,389,400,407,418,420,435,445,597,608,609,621,628,635,648,660,661,677,679,689,701,704,712,724,737,740,753,761,765,775,784,796,799,813,822,824,833,846,855,861,865,875,887,894,905,913,922,932,939,942,956,968,975,982,986,999,1005,1016,1023,1036,1039,1053,1056,1068,1078,1082,1092,1102,1109,1114,1127,1135,1139,1154,1157,1167,1176	0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0
5,13,20,29,41,46,54,62,68,77,93,94,105,116,119,130,143,146,153,166,172,181,325,332,336,349,354,365,374,379,391,397,409,420,423,433,442,465,609,614,620,629,635,645,658,661,674,682,694,703,710,717,728,734,739,751,755,763,775,782,794,800,810,820,823,837,844,852,860,871,882,885,899,907,915,918,932,936,950,952,966,968,984,993,996,1008,1017,1024,1030,1042,1053,1057,1062,1074,1082,1090,1096,1105,1117,1127,1130,1139,1153,1160,1165,1176	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,12,19,30,37,44,51,60,73,83,90,97,104,114,122,128,139,152,154,164,174,191,326,331,342,344,354,365,372,384,391,402,410,412,423,437,443,468,605,613,622,626,636,647,656,661,677,678,687,700,709,714,723,731,738,747,761,767,776,785,796,800,812,821,827,832,840,853,859,868,879,883,892,905,910,921,926,936,950,957,960,970,978,989,999,1010,1016,1019,1031,1042,1051,1061,1067,1073,1085,1093,1098,1106,1121,1127,1138,1141,1148,1156,1165,1174	1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,18,26,35,42,53,67,75,79,92,99,108,112,121,133,142,148,160,166,171,314,319,328,338,344,353,368,371,379,391,396,406,415,425,432,441,600,602,615,625,630,640,651,657,661,674,678,689,697,707,716,721,737,738,752,759,770,779,780,790,800,808,821,830,836,844,851,863,866,877,886,893,903,912,924,926,939,943,956,964,972,984,991,994,1010,1016,1023,1032,1038,1051,1061,1065,1078,1084,1089,1102,1104,1118,1122,1133,1142,1154,1160,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,22,29,41,49,58,60,70,77,91,102,105,115,124,134,137,152,162,166,175,313,321,332,343,347,353,362,373,380,388,399,404,419,427,433,444,596,603,614,619,631,641,644,654,666,669,678,694,701,708,718,728,732,738,750,762,765,777,781,796,800,806,822,827,839,846,848,865,867,880,886,895,905,915,925,929,934,948,952,961,975,982,991,1001,1007,1012,1024,1034,1044,1052,1055,1064,1078,1085,1090,1100,1107,1113,1123,1135,1141,1152,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,33,37,44,52,67,72,78,93,98,106,117,119,132,139,150,160,162,176,316,320,328,337,345,352,364,374,381,392,396,409,412,426,429,442,600,601,614,622,634,641,650,652,662,674,684,694,696,704,712,728,730,742,751,755,769,778,781,790,802,810,821,826,833,846,850,863,866,874,889,896,903,914,923,929,942,947,952,966,974,976,991,1000,1006,1012,1021,1028,1042,1047,1058,1063,1075,1085,1094,1098,1106,1115,1124,1135,1142,1154,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,27,36,49,58,65,70,85,91,96,106,114,120,135,144,149,160,164,174,317,320,330,340,349,360,362,371,380,389,396,409,419,421,430,438,599,607,612,622,630,640,650,656,665,671,684,694,698,704,714,727,732,744,749,757,766,777,780,789,802,809,815,823,836,844,856,859,873,876,885,893,907,911,917,928,934,944,952,959,969,978,989,998,1002,1011,1022,1033,1044,1053,1058,1064,1071,1085,1094,1101,1109,1119,1125,1137,1147,1149,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,17,28,39,49,53,63,69,78,85,96,109,111,126,132,139,146,160,169,178,314,320,331,336,350,353,369,376,384,391,397,410,420,425,433,446,599,603,610,624,634,635,646,652,668,673,678,686,696,709,713,722,732,742,750,762,770,779,782,795,799,807,818,824,834,845,856,863,867,880,887,898,907,909,924,929,940,948,954,960,969,983,993,1001,1008,1013,1025,1032,1044,1046,1055,1070,1075,1082,1095,1104,1111,1117,1123,1134,1140,1155,1164,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,25,29,36,46,52,61,69,77,88,98,103,115,121,131,143,148,160,164,178,316,325,328,339,345,352,365,370,382,389,402,411,413,423,437,438,450,606,611,621,633,639,648,658,660,677,681,688,697,703,715,724,736,743,753,758,763,776,781,794,801,811,819,826,836,842,855,857,865,881,882,896,904,913,922,926,934,942,955,967,973,981,988,999,1003,1011,1024,1031,1043,1049,1054,1065,1077,1087,1094,1096,1111,1116,1128,1138,1144,1153,1156,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,25,33,41,50,58,60,69,83,87,96,105,113,127,133,139,148,154,163,174,314,324,330,339,347,355,366,377,386,392,395,412,414,422,429,442,600,605,614,621,627,640,650,654,661,677,679,692,697,710,715,727,729,742,748,754,763,775,785,796,798,813,818,826,835,842,856,857,872,876,883,896,901,910,918,933,934,949,953,966,972,980,992,999,1003,1014,1021,1027,1043,1048,1059,1063,1074,1086,1090,1104,1111,1119,1125,1134,1141,1149,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,31,36,47,53,63,73,84,88,102,104,112,127,129,137,149,155,163,173,317,322,329,340,346,354,365,369,385,388,401,405,412,424,435,443,599,606,611,625,628,640,651,659,665,672,678,689,699,707,714,726,733,738,753,757,765,775,787,791,804,809,819,830,839,840,849,861,870,881,888,896,907,913,922,933,942,945,953,963,974,978,992,997,1007,1010,1026,1034,1042,1047,1056,1063,1073,1080,1087,1102,1112,1117,1124,1131,1143,1147,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,33,38,51,57,65,69,80,86,94,110,113,126,128,143,146,158,169,175,212,321,330,339,350,356,361,374,385,388,400,404,412,429,430,437,597,602,609,626,632,639,646,658,664,669,679,686,701,704,712,722,736,738,747,762,765,779,783,792,799,813,820,823,833,846,855,857,868,875,891,894,908,913,921,925,935,946,955,960,972,980,985,995,1009,1012,1026,1033,1043,1046,1059,1069,1075,1083,1090,1097,1107,1117,1128,1135,1143,1152,1164,1170	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,19,26,41,44,58,64,74,79,87,100,106,114,125,130,141,146,156,162,172,316,325,334,338,346,359,367,372,385,391,403,411,418,421,436,443,599,604,613,625,632,635,647,657,663,671,685,686,697,704,713,720,733,741,751,760,770,779,787,791,801,808,822,831,834,845,851,858,867,882,887,891,905,911,917,931,937,943,955,960,972,984,990,998,1006,1016,1026,1031,1038,1048,1058,1066,1071,1083,1092,1104,1105,1116,1126,1136,1143,1154,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,30,37,46,54,60,71,84,87,95,110,118,126,128,140,147,158,166,173,314,325,331,336,346,358,366,371,380,389,397,404,419,428,432,444,468,607,613,622,630,636,647,657,665,676,684,692,700,711,712,723,734,737,751,759,763,773,788,789,798,809,816,823,834,843,852,862,868,878,890,892,901,916,920,930,937,946,959,962,972,980,987,1001,1005,1011,1023,1028,1036,1051,1061,1065,1074,1082,1092,1101,1106,1116,1129,1136,1140,1153,1162,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,32,38,51,55,65,74,83,89,99,103,117,122,135,138,148,159,163,177,313,322,328,340,344,360,364,372,383,388,398,408,413,428,437,439,599,608,615,619,627,635,650,653,666,670,678,689,700,710,719,725,729,739,747,755,771,776,781,792,800,811,817,826,839,845,852,861,869,875,887,892,908,915,917,932,934,947,958,964,973,978,990,996,1004,1011,1027,1028,1036,1046,1053,1064,1077,1086,1092,1103,1112,1118,1127,1130,1147,1154,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,28,37,47,58,63,75,82,88,98,104,118,122,129,138,148,158,164,171,316,321,331,342,347,353,369,371,378,392,398,409,417,428,433,446,447,606,609,626,630,635,646,653,663,673,680,690,700,710,716,725,729,741,749,756,767,779,785,789,803,813,818,829,836,841,856,865,868,879,884,897,902,916,921,926,942,943,955,967,972,976,988,996,1005,1012,1026,1033,1042,1046,1059,1070,1075,1085,1092,1097,1111,1115,1126,1134,1139,1148,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,26,42,50,53,61,69,81,89,97,104,117,123,134,140,148,160,165,172,183,326,334,340,347,355,362,370,378,387,400,406,414,428,434,440,449,608,610,625,627,635,647,655,661,674,677,686,696,707,712,722,735,742,753,757,766,779,788,793,799,808,815,829,836,843,849,858,867,877,882,898,903,913,920,930,938,942,958,967,970,984,992,1000,1003,1012,1019,1028,1044,1046,1059,1070,1072,1087,1088,1099,1105,1115,1121,1134,1142,1155,1156,1165	0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,23,32,40,45,52,64,70,78,91,98,106,114,119,132,144,149,155,163,174,317,321,329,343,348,355,362,371,386,390,395,411,416,428,435,440,597,601,615,618,632,635,649,653,665,674,684,692,700,707,720,725,729,740,749,754,769,776,782,790,802,813,820,826,834,844,849,861,867,881,886,893,902,915,924,925,936,944,957,962,972,977,993,1001,1002,1011,1019,1030,1041,1048,1057,1064,1076,1085,1088,1100,1107,1117,1129,1134,1139,1155,1162,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,32,38,45,55,63,72,78,90,99,103,114,121,128,144,152,157,164,174,314,319,333,336,344,360,366,374,383,386,401,406,413,424,432,446,596,602,611,622,633,640,649,654,660,672,683,693,696,706,719,724,733,745,751,756,765,779,787,791,803,809,819,827,831,847,855,860,866,874,887,892,905,915,917,932,934,945,955,966,970,982,986,999,1005,1017,1025,1029,1038,1045,1055,1064,1071,1079,1092,1103,1105,1120,1123,1133,1140,1150,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,30,41,46,58,65,73,83,92,95,107,112,122,130,137,146,158,166,173,313,325,335,340,344,355,363,371,379,393,398,406,417,427,436,446,599,601,616,619,634,635,643,653,668,673,680,692,696,706,712,723,731,737,746,755,765,774,782,793,803,811,817,831,834,844,855,863,871,876,885,895,904,916,923,929,935,946,951,964,974,978,993,996,1005,1011,1019,1028,1038,1047,1054,1069,1070,1084,1089,1097,1105,1118,1127,1131,1143,1155,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,32,35,48,53,60,68,78,88,100,102,111,123,135,137,148,155,169,177,316,322,330,338,345,353,362,372,379,391,403,411,418,425,430,440,597,609,615,622,630,640,643,658,662,673,679,694,700,708,713,725,734,743,750,757,766,772,784,795,801,808,822,824,836,847,852,861,870,876,883,892,903,912,923,928,939,949,951,962,969,982,993,996,1006,1016,1026,1032,1036,1049,1061,1067,1076,1080,1087,1104,1111,1115,1124,1138,1141,1155,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,32,38,46,56,64,76,79,85,99,104,113,125,135,140,145,157,170,171,313,321,327,340,349,358,366,377,379,387,402,406,415,428,429,441,597,609,614,623,632,643,647,655,664,673,680,686,699,703,716,728,732,745,751,758,771,773,786,796,799,809,822,824,834,843,854,864,872,877,884,894,903,913,917,931,940,948,954,968,973,981,992,996,1005,1018,1025,1029,1042,1049,1054,1065,1073,1084,1096,1097,1109,1117,1126,1131,1144,1149,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,28,41,44,59,63,75,83,85,99,104,116,119,135,141,147,154,162,172,317,321,327,341,349,356,364,377,380,389,402,407,416,428,430,442,600,608,615,621,633,635,644,658,666,677,679,692,702,710,712,724,730,740,753,763,767,779,785,792,805,812,822,827,838,845,853,861,872,882,884,894,903,915,924,928,937,950,952,967,975,980,988,999,1007,1012,1022,1029,1038,1045,1056,1063,1071,1080,1095,1096,1113,1121,1124,1132,1147,1155,1159,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,29,41,48,51,62,70,78,88,96,104,116,119,134,143,150,161,165,177,314,319,332,343,346,353,365,373,381,390,401,405,414,422,436,444,600,602,615,620,633,635,646,655,663,671,683,693,697,703,717,721,730,741,751,762,767,771,784,792,800,810,816,829,836,848,851,862,874,881,883,895,901,914,920,927,935,946,955,960,971,983,992,1000,1008,1018,1025,1030,1036,1048,1060,1063,1077,1082,1089,1096,1104,1116,1122,1135,1144,1150,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,33,39,49,51,62,70,84,89,99,107,114,123,129,141,151,158,167,175,316,320,327,343,348,359,361,369,379,390,399,407,414,422,435,443,465,607,613,622,626,642,647,657,667,674,678,687,700,711,720,724,734,739,751,759,765,775,788,789,805,809,814,825,832,842,855,865,866,882,887,891,902,914,925,931,934,945,955,967,976,979,988,1001,1002,1018,1021,1033,1043,1053,1054,1063,1074,1082,1093,1099,1108,1116,1124,1134,1143,1155,1160,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,22,30,35,44,58,66,70,78,87,94,108,119,126,131,142,148,154,163,177,316,318,330,339,349,358,368,374,386,392,396,408,413,425,435,443,462,604,612,621,631,638,644,658,668,669,677,687,696,709,716,722,736,739,751,755,766,772,786,788,804,805,822,825,834,841,853,860,866,881,889,898,906,915,921,932,938,948,954,961,972,984,987,998,1003,1013,1025,1028,1043,1051,1059,1062,1075,1086,1091,1098,1108,1118,1124,1131,1140,1152,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,31,39,45,59,68,71,84,88,99,105,115,127,129,142,151,157,170,175,315,325,334,338,351,352,364,376,380,389,395,409,419,425,435,438,447,604,617,622,628,640,648,652,661,677,680,688,699,706,717,724,731,741,754,762,766,773,782,789,799,812,821,823,838,844,849,861,868,880,890,891,902,914,922,933,934,948,958,967,969,981,990,999,1002,1017,1019,1029,1043,1051,1054,1064,1078,1082,1088,1098,1110,1117,1125,1138,1145,1150,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,31,36,42,51,59,76,79,87,94,108,112,119,130,142,151,161,170,171,317,325,332,341,345,356,366,369,380,394,400,404,416,428,437,440,448,605,610,620,629,640,648,659,667,676,682,687,701,708,718,722,732,741,748,759,769,776,783,794,804,807,817,824,835,847,848,859,867,878,882,897,903,908,917,927,942,947,951,962,968,979,986,1001,1002,1015,1021,1036,1041,1048,1058,1065,1074,1086,1092,1103,1110,1115,1130,1137,1141,1152,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,25,28,35,48,56,60,74,77,88,100,107,116,126,129,141,153,161,163,176,314,326,334,340,347,355,365,371,385,394,402,407,420,423,437,441,600,608,616,622,629,642,646,655,663,674,683,693,696,707,718,723,737,741,752,759,770,779,780,790,797,809,822,830,836,846,849,864,871,875,891,897,900,915,919,928,937,948,956,968,971,984,993,997,1009,1011,1026,1029,1044,1047,1055,1070,1074,1083,1089,1096,1105,1117,1129,1137,1144,1153,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,26,35,48,54,63,69,84,87,101,110,114,123,131,143,152,161,165,175,188,319,332,342,345,353,363,377,379,391,399,408,420,421,435,440,597,608,612,622,627,640,644,656,662,672,678,693,696,705,712,723,735,740,747,761,770,772,781,789,797,807,821,824,839,840,851,864,865,882,891,892,903,912,920,932,940,947,953,965,973,980,987,998,1010,1016,1023,1028,1041,1049,1058,1067,1077,1080,1095,1096,1106,1118,1124,1132,1141,1151,1158,1166,1176	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,13,24,30,34,45,51,63,68,82,87,94,103,111,121,130,137,149,154,163,172,185,321,329,340,352,359,363,375,380,389,401,408,414,421,431,439,447,607,610,620,631,641,650,658,660,674,681,694,698,709,714,722,730,742,751,758,767,775,788,793,799,809,816,831,836,841,853,859,871,880,886,897,906,910,919,932,934,943,956,960,968,981,986,997,1009,1018,1019,1028,1037,1049,1056,1065,1076,1084,1089,1097,1105,1119,1127,1138,1140,1151,1158,1172,1173	0,0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
5,16,25,33,41,47,52,61,76,84,91,99,110,115,122,134,136,149,161,166,176,183,320,329,335,351,355,361,369,386,392,399,409,417,426,434,442,600,601,614,625,632,642,647,658,660,676,682,686,694,711,716,728,736,744,747,757,766,772,780,795,801,813,820,826,837,843,852,859,869,880,885,897,902,915,921,930,940,944,958,965,974,979,988,1000,1008,1016,1020,1029,1043,1053,1056,1065,1071,1087,1091,1098,1107,1117,1122,1134,1144,1153,1162,1168	1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,10,19,31,35,44,56,65,70,81,87,101,102,116,126,133,143,151,160,162,179,191,322,327,341,347,359,363,371,380,386,397,409,420,421,431,443,599,609,612,622,634,640,652,653,664,674,680,692,696,711,713,727,734,742,747,757,766,775,787,796,798,805,814,828,837,842,855,862,869,877,890,896,905,913,924,927,934,944,956,961,973,983,986,1001,1006,1018,1024,1033,1038,1049,1054,1068,1076,1081,1095,1104,1111,1115,1124,1131,1141,1152,1163,1165,1176	1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,22,25,35,50,55,67,75,84,91,97,107,117,125,131,143,147,159,169,176,188,323,327,337,344,360,368,371,380,389,395,407,417,427,436,445,597,607,613,624,629,637,648,659,665,672,680,686,702,705,719,726,735,745,747,756,767,774,786,791,802,809,816,824,833,844,853,858,872,877,882,895,900,913,921,933,934,950,955,960,968,978,987,994,1003,1011,1026,1032,1041,1045,1053,1067,1075,1087,1090,1100,1110,1120,1123,1134,1145,1148,1164,1166,1175	1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,19,31,34,48,52,68,75,84,85,98,110,113,121,132,140,149,155,170,178,316,322,328,336,349,355,365,373,381,393,398,404,415,421,436,438,597,602,615,623,628,643,646,658,667,676,680,687,698,709,719,724,733,744,753,757,771,777,785,795,804,809,822,827,832,841,851,862,868,880,889,893,900,916,922,930,934,942,951,960,974,978,985,997,1008,1015,1020,1031,1043,1045,1059,1064,1072,1079,1089,1103,1110,1118,1127,1131,1141,1150,1159,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
1,15,17,31,37,45,52,65,73,81,89,95,104,111,121,136,137,152,161,167,172,179,324,332,338,351,356,363,376,379,392,396,405,420,423,430,438,596,607,617,622,627,636,643,653,661,674,685,693,695,708,712,723,732,740,746,759,767,777,788,793,801,805,818,831,834,847,856,864,865,880,889,897,903,912,922,931,934,945,954,961,975,976,987,997,1005,1015,1023,1031,1041,1052,1058,1063,1079,1080,1093,1097,1108,1119,1127,1137,1139,1153,1162,1168,1177	1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,24,29,36,47,59,62,70,82,88,100,105,119,125,132,141,152,161,164,177,179,324,331,340,346,355,368,371,380,388,400,406,413,427,434,445,598,607,615,622,633,642,643,653,660,671,682,688,700,711,720,725,736,739,748,759,763,772,780,795,800,806,820,828,836,845,849,859,870,880,889,894,908,909,917,926,935,948,953,967,971,982,992,998,1006,1013,1026,1035,1038,1049,1061,1063,1075,1084,1092,1100,1110,1114,1123,1138,1145,1151,1159,1167,1174	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
7,11,19,26,41,47,56,62,71,83,92,98,108,112,127,132,144,150,159,168,176,313,321,327,339,347,359,366,371,382,388,402,405,413,424,430,442,467,603,614,621,627,639,649,654,666,675,677,693,696,707,716,728,733,739,753,758,767,776,781,793,800,806,821,828,839,846,853,857,865,882,885,896,903,916,919,928,937,946,953,962,972,982,993,994,1006,1012,1027,1032,1037,1045,1057,1067,1079,1085,1094,1102,1113,1117,1122,1137,1142,1154,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,17,21,27,41,49,56,62,69,78,90,100,104,113,124,135,141,147,159,167,175,190,319,333,343,345,360,362,371,379,387,402,403,414,426,430,443,600,604,612,626,627,640,648,656,667,672,685,686,698,705,712,722,733,737,746,762,765,772,783,790,801,811,818,823,838,845,854,864,870,882,890,891,906,910,917,929,936,943,956,961,970,978,990,998,1010,1011,1021,1035,1040,1045,1059,1063,1073,1082,1091,1103,1109,1115,1124,1132,1140,1151,1160,1168,1176	1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,22,26,41,51,56,66,72,83,91,102,107,118,122,131,137,146,156,168,172,182,323,332,343,345,354,362,376,385,386,395,403,416,423,437,442,600,603,616,620,630,637,649,657,662,673,685,687,695,707,714,728,729,737,750,754,767,778,781,794,798,809,816,826,837,843,852,860,869,878,888,897,902,915,923,928,941,947,954,962,969,980,992,996,1009,1015,1027,1034,1037,1052,1060,1068,1077,1080,1096,1101,1107,1120,1129,1138,1145,1150,1158,1173,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,16,25,30,40,50,54,66,70,84,90,100,110,114,123,132,140,152,154,163,175,187,324,334,337,348,356,369,370,381,387,397,404,416,425,430,445,598,603,609,626,632,642,646,656,663,671,682,694,696,703,713,722,732,738,753,755,765,780,787,794,804,806,815,830,837,845,849,865,871,875,883,891,902,914,920,928,938,947,952,961,974,983,990,998,1004,1019,1023,1034,1039,1047,1057,1066,1074,1081,1091,1099,1108,1117,1127,1133,1139,1151,1163,1166,1176	0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,22,27,37,42,52,65,75,81,91,97,104,117,126,130,141,151,157,167,179,195,319,328,335,349,352,363,371,379,393,395,410,418,426,433,441,461,605,617,620,628,638,643,653,664,677,685,693,695,707,716,726,735,740,751,761,764,780,783,793,798,809,819,826,838,842,851,864,873,877,884,899,908,915,925,929,936,944,951,963,972,984,988,994,1008,1017,1024,1033,1043,1045,1059,1066,1071,1079,1093,1096,1109,1114,1126,1130,1142,1147,1164,1165	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,24,30,39,49,57,67,69,80,91,98,103,116,127,132,143,151,162,170,171,181,326,333,339,351,356,361,375,384,388,402,408,412,423,433,441,468,604,611,624,632,642,645,653,668,675,678,688,700,709,719,721,733,741,748,758,764,778,782,788,797,810,817,828,835,842,849,860,871,879,885,898,905,913,924,933,942,943,955,963,968,984,985,996,1009,1013,1020,1033,1044,1049,1060,1067,1072,1079,1088,1099,1106,1117,1130,1133,1144,1154,1161,1168,1173	0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,17,22,25,38,47,53,63,70,79,90,98,106,116,120,135,136,148,159,169,175,186,320,334,338,350,359,369,373,383,392,403,408,418,423,436,444,600,602,612,620,633,637,651,654,662,672,684,688,697,709,715,724,731,739,748,760,768,771,783,792,797,809,818,829,834,844,854,865,870,876,889,893,906,916,918,927,940,947,953,965,970,984,986,994,1008,1012,1020,1028,1041,1052,1060,1065,1078,1081,1089,1103,1111,1121,1126,1135,1146,1153,1162,1170	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
7,10,22,25,34,47,54,61,70,78,86,94,103,119,122,132,141,147,161,167,172,316,318,331,339,347,359,362,375,382,391,398,404,413,426,429,445,596,606,612,621,631,636,647,659,661,674,683,694,701,704,719,720,730,740,747,762,766,775,787,793,801,806,821,829,831,848,851,859,867,874,883,894,904,913,924,927,938,946,957,966,975,979,988,999,1009,1017,1021,1032,1039,1048,1054,1062,1078,1087,1088,1098,1106,1115,1130,1134,1140,1149,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,28,41,47,56,66,76,77,87,99,111,116,123,132,139,150,157,169,178,317,324,334,340,349,353,362,377,385,391,403,410,413,427,429,439,600,605,616,625,626,640,649,655,665,673,679,691,702,705,715,722,732,740,752,757,767,776,786,794,799,814,822,824,833,843,853,860,873,877,888,896,902,911,921,933,935,947,956,959,975,978,985,997,1008,1015,1021,1036,1040,1052,1059,1063,1075,1087,1088,1100,1105,1120,1126,1131,1142,1155,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,30,38,51,54,62,73,81,93,102,110,115,122,129,137,152,154,164,171,317,324,328,343,348,355,367,375,378,388,398,404,418,422,433,439,598,600,611,622,633,643,648,656,666,673,683,691,696,705,717,724,737,741,750,756,763,779,781,792,803,814,818,826,837,844,855,863,869,877,886,891,905,908,917,933,942,948,951,966,975,983,988,996,1003,1016,1021,1032,1043,1045,1055,1068,1075,1081,1091,1096,1105,1121,1128,1136,1143,1150,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,32,38,47,56,68,75,78,87,98,105,112,124,130,143,147,154,163,176,316,323,328,336,347,358,361,372,386,394,401,409,412,424,437,441,457,602,614,618,631,640,650,660,661,673,683,688,695,704,715,726,736,740,749,758,763,779,784,789,799,811,814,824,839,846,851,860,867,879,885,894,899,914,924,925,938,946,952,965,969,982,990,1001,1002,1011,1021,1028,1041,1052,1055,1065,1078,1084,1089,1103,1112,1113,1129,1131,1141,1148,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,26,37,45,59,61,73,82,92,100,109,117,127,133,142,152,160,170,178,313,320,332,336,348,358,364,377,383,393,400,403,419,428,430,446,598,607,616,618,632,640,649,657,668,675,678,690,699,707,713,720,729,740,752,761,767,772,787,795,805,812,821,824,836,843,857,860,873,881,885,899,906,911,920,933,942,946,958,966,970,984,987,997,1010,1015,1024,1028,1036,1045,1055,1064,1078,1085,1095,1100,1111,1114,1122,1136,1146,1148,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,23,28,41,47,57,67,74,77,90,97,103,114,120,131,141,152,155,169,174,314,321,333,342,351,360,363,372,382,392,401,409,416,426,435,438,466,605,612,618,627,643,647,659,667,669,679,689,696,706,717,724,729,738,747,761,769,780,785,793,798,806,819,831,832,843,849,861,870,878,890,892,907,909,917,927,934,948,956,966,975,981,993,998,1004,1018,1027,1030,1036,1050,1055,1065,1077,1079,1087,1099,1112,1116,1124,1136,1143,1152,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,25,34,43,53,65,75,78,88,95,106,115,127,133,136,152,155,164,171,318,324,326,335,347,354,367,374,379,387,403,405,413,423,437,447,461,603,614,622,629,638,648,653,666,674,678,690,695,705,715,727,729,742,748,757,768,778,787,791,803,810,818,829,837,847,852,865,869,881,884,896,904,914,921,931,935,950,958,965,971,977,991,999,1003,1013,1019,1036,1037,1052,1058,1066,1077,1087,1088,1096,1105,1114,1124,1137,1144,1153,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,27,34,46,51,65,72,81,92,101,107,114,120,132,142,146,154,169,174,314,324,334,336,349,359,368,372,381,389,400,405,414,424,431,440,459,601,615,618,635,641,648,656,661,669,678,693,702,710,717,727,730,741,751,755,766,777,784,795,800,806,818,827,833,847,852,859,869,875,888,897,903,912,924,929,937,944,951,963,970,983,985,997,1010,1017,1025,1029,1043,1049,1057,1069,1074,1079,1087,1098,1105,1118,1122,1136,1145,1148,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,19,32,42,49,56,64,69,80,90,96,107,114,126,132,138,146,155,169,172,185,322,332,340,350,353,361,377,379,392,399,405,413,426,431,444,470,609,616,625,634,635,643,656,665,671,684,690,698,708,718,727,730,742,747,755,769,778,785,792,802,807,815,824,835,848,856,860,871,877,884,896,905,916,922,931,936,948,955,961,973,985,988,998,1010,1015,1025,1034,1040,1049,1055,1062,1076,1085,1093,1099,1108,1118,1128,1134,1142,1152,1164,1168,1174	1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,25,30,38,49,53,66,76,82,86,96,107,117,123,133,137,151,160,170,171,313,320,335,342,348,352,368,375,383,389,399,405,419,428,437,443,596,601,614,622,634,643,650,656,666,673,682,691,695,703,719,726,734,737,750,756,767,779,783,790,804,812,815,827,832,846,853,863,871,882,883,895,901,914,924,925,941,950,959,967,975,978,987,993,1006,1012,1026,1036,1040,1052,1059,1064,1071,1085,1094,1096,1109,1120,1122,1136,1146,1155,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,26,40,49,58,66,72,80,89,96,107,112,120,136,137,152,155,164,178,318,323,333,337,345,357,365,370,383,388,400,404,416,422,431,447,599,608,613,626,629,637,648,654,665,676,678,687,699,710,717,726,734,740,747,759,767,776,785,797,804,809,815,830,838,846,852,858,873,881,882,896,902,915,923,927,935,948,958,961,975,984,993,997,1006,1018,1019,1034,1039,1051,1059,1064,1078,1084,1088,1101,1110,1119,1122,1132,1142,1153,1159,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,24,25,35,43,59,63,71,81,90,99,105,114,122,130,139,153,159,165,174,316,325,334,340,347,356,365,372,378,389,395,410,419,427,435,445,453,607,615,626,633,643,648,660,663,672,685,694,696,710,712,726,736,738,753,760,763,772,784,797,800,807,822,825,836,847,849,863,870,877,890,893,900,908,923,926,936,945,952,964,970,984,988,1000,1009,1012,1026,1029,1043,1049,1058,1064,1073,1082,1093,1101,1105,1115,1129,1136,1142,1153,1156,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,26,41,51,57,64,74,84,90,96,108,114,122,128,143,150,155,165,177,317,326,330,340,348,359,361,375,384,394,396,406,419,424,430,446,468,601,609,626,633,640,651,660,667,677,681,694,702,706,715,725,737,741,752,762,770,778,788,792,803,806,817,827,836,842,854,858,871,881,890,891,902,909,920,927,942,948,951,968,971,981,988,999,1008,1014,1022,1035,1039,1047,1061,1068,1074,1083,1088,1100,1107,1121,1129,1136,1140,1152,1159,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,17,31,39,49,53,67,68,79,86,102,105,117,122,136,139,150,162,166,174,181,319,326,335,346,359,365,373,385,394,402,405,418,422,437,445,448,609,616,625,631,637,649,654,662,674,678,687,700,708,712,721,735,742,749,759,765,776,782,793,799,810,821,824,833,844,853,865,873,879,890,899,900,913,922,930,941,945,952,965,968,977,989,1001,1006,1017,1023,1032,1038,1052,1057,1068,1078,1085,1088,1101,1111,1118,1129,1137,1145,1152,1163,1170	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,25,29,36,46,52,64,71,80,92,101,108,119,120,135,138,145,155,170,178,314,321,334,339,347,353,366,376,386,391,397,406,419,423,430,440,598,601,610,619,628,636,649,655,666,671,682,694,698,708,720,724,730,742,751,758,765,773,783,792,805,811,818,823,838,841,853,858,874,877,884,897,907,909,917,925,939,944,957,962,973,979,985,998,1010,1012,1022,1034,1041,1052,1061,1069,1076,1080,1092,1100,1108,1113,1124,1138,1146,1151,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,18,29,38,49,51,68,70,80,87,98,104,117,121,130,142,146,157,170,178,317,321,327,341,349,357,366,373,386,389,397,409,414,424,432,439,598,609,612,619,626,641,644,658,663,671,682,690,702,709,716,723,734,744,749,761,766,773,780,793,800,808,822,830,833,847,850,862,870,877,890,896,900,908,920,931,936,949,956,966,968,979,992,996,1009,1018,1019,1028,1042,1046,1059,1063,1077,1083,1089,1098,1112,1117,1127,1135,1143,1155,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,30,42,43,52,65,69,80,90,96,109,117,124,132,138,152,157,162,170,316,325,329,341,344,358,368,377,380,387,401,409,412,425,430,444,598,606,615,625,627,637,647,653,663,676,680,690,699,708,712,727,733,745,747,759,766,771,787,795,798,808,814,830,838,843,852,864,873,882,886,893,904,911,921,927,940,943,955,960,975,978,990,993,1002,1015,1026,1029,1037,1052,1054,1069,1070,1083,1089,1100,1104,1119,1125,1137,1145,1150,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,33,39,44,58,63,76,79,86,101,107,113,122,136,144,146,162,167,178,318,323,334,338,351,353,367,374,379,387,395,403,417,427,430,440,600,607,609,625,632,638,645,655,663,672,683,687,698,708,717,720,735,742,751,755,771,775,785,791,805,809,820,825,834,843,854,859,868,875,886,894,900,914,925,932,942,945,953,961,973,979,993,995,1009,1011,1027,1029,1043,1052,1055,1070,1071,1082,1089,1101,1109,1116,1129,1133,1146,1149,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,20,30,36,42,58,61,76,79,89,96,107,118,119,135,140,152,156,164,174,316,325,333,340,352,356,365,369,384,395,401,409,417,428,429,441,599,601,613,626,633,637,643,653,667,673,683,688,703,709,718,722,729,739,752,761,769,780,787,792,805,813,821,823,834,848,849,857,870,879,889,896,907,909,918,928,936,943,955,967,968,977,989,996,1007,1013,1021,1034,1042,1049,1056,1069,1078,1084,1094,1098,1109,1118,1123,1134,1144,1148,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,32,42,50,51,65,76,79,85,94,107,111,121,130,145,153,161,165,172,317,320,334,337,345,357,364,376,381,393,395,409,413,421,434,438,599,602,613,618,634,637,651,655,666,672,681,691,701,703,712,721,729,744,753,760,769,774,783,791,804,814,815,827,836,845,852,862,874,878,884,892,903,911,924,926,935,942,956,962,969,977,989,997,1002,1017,1021,1033,1039,1048,1059,1063,1071,1079,1087,1098,1109,1116,1128,1133,1140,1151,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,25,31,40,50,54,63,76,84,88,99,106,115,125,128,136,153,158,162,176,317,321,330,342,346,356,363,377,385,389,399,409,418,426,429,445,600,608,613,619,628,636,644,652,665,670,677,688,702,706,715,720,737,744,749,758,770,772,780,795,805,814,822,828,838,842,849,865,867,877,886,892,900,916,922,925,938,948,951,967,970,978,992,999,1005,1011,1020,1029,1038,1048,1058,1064,1075,1084,1094,1098,1108,1115,1125,1136,1146,1148,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,28,38,45,55,62,72,76,93,100,106,116,123,136,141,150,162,167,173,313,322,329,341,348,353,368,376,386,387,395,407,416,421,431,442,447,601,611,626,632,639,643,655,667,672,679,689,701,711,713,728,733,743,752,760,770,779,787,789,804,811,820,830,832,844,848,859,867,881,889,892,900,910,925,926,935,944,957,967,969,977,991,997,1005,1014,1019,1029,1040,1049,1055,1068,1073,1081,1088,1102,1105,1116,1123,1131,1139,1149,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,30,41,51,56,65,72,84,86,99,107,115,127,135,142,152,154,168,176,315,326,330,335,350,358,364,375,385,390,399,407,412,423,437,438,448,604,614,621,628,635,648,658,664,669,684,690,696,709,712,727,736,741,751,754,763,777,782,790,804,813,814,830,836,845,852,861,868,881,887,894,901,916,924,927,934,946,959,961,974,984,986,1000,1004,1012,1025,1035,1041,1045,1061,1067,1077,1082,1093,1096,1106,1120,1129,1130,1144,1150,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,21,29,36,42,54,63,74,78,90,96,104,116,126,129,139,147,159,163,176,315,319,331,339,345,355,364,373,378,389,397,404,414,426,433,441,459,601,615,621,628,640,648,660,664,669,679,690,695,708,717,724,729,740,751,762,768,773,786,793,800,808,815,823,838,845,849,862,872,880,885,898,903,912,918,931,937,949,953,963,969,984,992,998,1008,1012,1027,1035,1038,1051,1059,1062,1075,1081,1095,1100,1110,1117,1128,1136,1139,1154,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,29,41,46,59,67,68,82,91,96,102,118,123,128,137,152,160,167,173,318,322,332,340,344,358,366,369,378,394,395,412,418,421,431,443,599,606,609,618,630,641,651,657,662,669,682,693,698,710,718,722,736,743,753,756,764,778,780,797,799,807,818,823,837,842,853,862,867,879,883,896,905,915,922,925,939,948,953,959,973,977,993,1002,1007,1010,1023,1032,1043,1045,1058,1068,1072,1080,1094,1098,1111,1116,1127,1135,1143,1154,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,29,39,46,55,64,69,83,87,99,107,113,122,129,143,147,158,164,175,313,324,334,340,348,359,364,371,380,391,398,408,418,428,436,440,449,604,617,626,628,641,645,653,666,674,678,689,701,706,718,724,734,738,754,755,765,774,785,792,800,812,821,826,834,846,854,860,867,875,884,892,905,914,918,933,934,950,958,960,974,983,985,997,1004,1013,1027,1036,1038,1048,1055,1066,1078,1081,1088,1096,1113,1121,1126,1134,1142,1149,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,27,37,46,59,64,71,77,91,100,103,112,124,129,142,147,156,164,177,186,326,331,342,346,352,365,377,380,394,402,411,420,423,437,440,597,609,616,622,630,643,644,654,662,673,685,688,699,708,715,727,732,745,750,758,765,775,787,791,799,807,821,828,835,843,851,863,871,875,887,893,902,915,925,930,935,947,951,966,975,979,988,997,1010,1012,1024,1031,1039,1048,1059,1064,1072,1079,1093,1102,1106,1119,1123,1136,1147,1149,1158,1164,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
5,11,19,28,34,48,51,60,68,78,90,96,103,112,120,133,138,150,157,163,177,184,319,332,341,352,354,369,371,386,389,397,404,413,424,433,439,597,607,616,620,634,642,646,658,668,670,683,692,698,709,712,726,730,743,754,760,770,772,782,789,803,811,821,826,832,845,851,863,870,877,887,898,904,916,919,931,938,948,953,960,973,982,988,999,1002,1018,1027,1031,1044,1051,1060,1070,1074,1081,1090,1100,1112,1118,1123,1137,1144,1152,1162,1171,1178	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,18,32,42,50,58,63,73,83,88,100,104,119,120,132,138,147,159,166,177,181,321,327,340,351,358,368,378,385,387,400,406,415,427,433,439,598,608,615,618,631,642,647,655,668,669,683,692,700,704,712,722,733,744,750,757,768,777,784,790,797,810,816,831,832,840,853,863,869,876,887,897,904,914,923,928,934,947,955,965,973,981,986,999,1009,1019,1025,1029,1039,1047,1054,1063,1077,1080,1087,1096,1106,1118,1128,1132,1139,1148,1156,1168	1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,9,24,31,40,44,55,61,73,80,86,98,104,115,120,128,137,153,157,163,173,180,323,330,338,344,353,361,376,379,393,398,407,415,423,430,443,468,605,615,626,627,639,645,658,663,672,682,690,695,711,716,723,736,743,746,757,767,778,785,792,800,809,822,826,832,844,849,863,866,875,886,894,903,913,920,932,935,947,952,967,969,977,990,996,1010,1016,1023,1034,1039,1045,1054,1066,1070,1087,1095,1096,1105,1118,1127,1131,1139,1152,1162,1168,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0
2,8,21,28,35,45,55,67,74,81,93,97,105,116,119,136,141,149,160,170,174,183,324,328,342,346,358,361,377,381,394,402,404,418,428,435,442,465,605,611,623,634,637,647,658,662,672,682,692,694,705,713,722,730,742,748,761,767,776,786,794,805,813,821,824,834,846,848,864,868,878,889,897,901,909,922,929,935,945,951,960,973,978,990,994,1004,1015,1024,1035,1038,1046,1060,1067,1077,1084,1090,1103,1112,1118,1121,1136,1142,1149,1156,1168,1178	1,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,20,26,37,50,58,64,76,77,92,99,107,117,119,131,139,152,156,169,173,194,323,327,337,351,358,364,373,384,391,401,410,413,427,430,441,461,607,614,625,626,636,651,659,668,669,683,693,698,703,715,728,730,745,748,760,767,773,784,791,804,808,814,830,836,848,856,863,871,876,889,899,907,911,921,931,934,947,955,966,976,983,990,1001,1009,1018,1025,1032,1044,1049,1060,1064,1076,1081,1093,1099,1106,1119,1126,1137,1145,1151,1159,1169,1176	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0
1,13,17,32,37,50,58,60,68,78,85,99,109,119,126,128,141,152,159,170,172,187,325,327,342,347,357,361,370,379,395,401,403,419,422,430,445,600,605,617,625,628,635,648,658,664,676,685,693,695,709,713,724,736,741,749,756,770,775,787,797,798,809,819,827,839,847,852,857,873,874,886,893,903,908,918,928,934,950,953,961,972,983,988,999,1005,1016,1026,1035,1044,1045,1058,1065,1075,1083,1090,1098,1105,1116,1127,1131,1141,1148,1160,1168,1173	1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,20,29,34,50,59,65,70,81,88,101,110,112,124,136,138,149,155,166,171,190,318,330,341,349,354,365,375,384,389,396,408,419,426,430,445,597,607,614,625,631,643,644,660,667,669,682,693,696,708,716,721,735,744,753,758,767,772,783,794,799,814,820,828,839,842,850,859,865,875,888,894,900,909,917,926,942,949,958,959,969,977,988,995,1005,1014,1022,1036,1043,1045,1058,1062,1073,1080,1095,1101,1109,1121,1130,1136,1145,1153,1160,1166,1174	0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,11,17,33,38,43,51,65,69,84,90,95,105,114,126,129,141,146,157,165,177,314,323,330,340,347,355,365,375,382,393,402,407,417,425,432,442,600,601,617,625,627,641,646,659,663,669,686,694,697,707,713,724,732,738,752,759,766,772,787,790,804,813,820,829,834,843,853,860,869,875,888,899,901,908,922,932,937,945,959,965,972,977,989,997,1002,1014,1021,1035,1038,1046,1055,1066,1072,1087,1091,1103,1107,1119,1128,1137,1139,1150,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,18,32,40,47,52,61,70,84,85,96,102,117,120,132,137,149,157,162,178,188,322,330,339,348,359,361,370,382,388,395,407,416,426,430,441,465,609,611,622,633,638,648,659,662,671,679,690,695,704,715,727,734,739,747,758,765,779,782,789,800,806,816,823,837,842,851,859,870,875,882,895,903,915,917,932,935,944,954,967,976,982,985,995,1005,1018,1023,1035,1042,1046,1056,1068,1073,1083,1095,1104,1109,1118,1127,1133,1145,1150,1156,1167,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,24,31,36,44,56,65,69,77,91,100,106,119,122,129,144,150,154,170,172,181,321,332,341,350,354,362,373,386,388,399,407,414,421,432,441,459,607,612,618,632,638,650,657,661,674,683,690,702,703,718,723,734,741,753,758,769,773,781,797,802,811,818,829,838,844,852,863,872,878,884,891,901,912,922,929,940,947,955,965,968,982,992,1001,1007,1013,1022,1031,1044,1047,1054,1063,1074,1081,1089,1098,1109,1117,1123,1137,1139,1153,1156,1166	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,25,26,41,48,58,61,74,80,86,95,106,117,127,132,143,151,159,162,173,179,322,334,336,348,357,366,371,382,392,396,411,413,428,431,442,453,601,613,621,629,635,643,653,668,669,683,691,697,706,716,724,729,744,751,757,764,775,785,788,804,807,818,828,837,844,850,863,870,878,884,899,903,910,925,929,937,947,955,967,971,981,993,998,1007,1018,1022,1029,1039,1049,1059,1063,1072,1087,1088,1103,1108,1117,1124,1133,1141,1154,1160,1170,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
2,12,21,28,38,49,51,60,74,85,89,102,104,119,123,135,140,147,154,170,175,184,324,329,341,352,360,361,375,380,392,396,411,413,425,435,439,451,607,611,621,626,641,651,660,667,673,678,687,695,703,711,722,730,742,750,761,768,772,780,789,802,808,817,830,838,844,856,857,870,882,889,894,903,916,923,928,935,950,952,963,975,981,988,995,1005,1017,1021,1034,1038,1045,1057,1063,1075,1082,1090,1104,1106,1115,1128,1137,1143,1154,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,18,30,41,49,55,63,72,82,93,100,106,116,122,129,144,147,160,162,170,182,325,334,336,352,359,364,377,378,389,397,409,419,424,430,442,447,607,611,624,630,639,651,656,666,677,684,690,702,709,715,728,737,743,746,761,769,773,786,795,801,811,819,827,836,844,852,861,869,876,884,891,904,916,924,927,939,945,954,961,971,980,992,1001,1004,1018,1025,1036,1040,1048,1055,1069,1071,1079,1093,1102,1108,1119,1121,1138,1143,1151,1158,1172	1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,12,23,28,35,49,55,67,72,79,89,99,105,115,120,135,137,152,161,167,177,189,325,334,336,347,358,361,371,382,389,398,409,416,428,432,438,457,607,617,621,633,638,650,657,662,677,681,689,701,705,716,721,735,742,747,760,763,777,782,792,800,809,819,824,838,848,856,861,867,877,890,895,901,908,922,927,935,946,952,960,968,982,991,997,1006,1014,1023,1028,1037,1053,1061,1067,1074,1085,1095,1102,1108,1114,1124,1135,1140,1151,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
7,10,19,28,40,48,52,62,76,83,85,102,104,117,126,135,141,150,156,165,179,316,326,327,340,347,356,366,377,383,391,402,404,419,425,437,443,596,608,617,618,633,641,650,655,662,672,680,688,698,706,719,724,732,745,750,758,766,775,783,788,804,806,815,825,834,848,852,862,870,874,884,892,903,916,922,932,935,945,959,960,972,979,991,997,1004,1017,1026,1033,1038,1050,1058,1063,1076,1083,1089,1104,1105,1116,1126,1137,1144,1155,1157,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,29,39,46,57,62,76,84,89,97,107,116,125,131,140,152,162,165,173,316,324,330,340,350,360,366,372,381,390,396,404,416,427,430,445,600,606,615,620,630,636,643,658,666,673,681,691,699,704,716,721,731,739,753,760,763,778,787,792,799,806,814,828,839,842,854,860,870,880,884,895,908,910,923,929,938,945,956,967,974,980,987,995,1004,1013,1025,1028,1043,1051,1060,1063,1078,1083,1088,1103,1109,1113,1129,1137,1139,1153,1163,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,32,37,47,56,63,75,83,89,99,108,111,125,135,138,146,160,162,176,314,324,327,342,344,355,364,376,380,386,398,406,414,427,432,440,468,602,612,624,632,638,645,660,664,674,679,693,695,704,714,724,734,738,750,755,766,777,782,790,802,810,815,830,836,841,854,863,868,880,883,898,901,910,922,931,936,945,956,962,974,982,988,994,1007,1016,1020,1029,1037,1047,1057,1062,1070,1087,1092,1104,1110,1121,1123,1130,1143,1153,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,19,26,38,47,58,64,76,84,89,94,110,116,123,130,144,149,161,167,174,313,320,332,338,348,355,369,371,378,390,397,404,416,425,434,438,458,605,609,624,626,643,647,660,662,670,682,688,699,704,716,728,736,742,747,757,763,773,783,792,797,807,815,830,831,844,849,862,865,881,884,896,901,909,922,931,935,950,958,961,976,985,987,999,1002,1015,1023,1033,1037,1053,1059,1068,1074,1086,1092,1098,1111,1117,1123,1138,1139,1154,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,29,36,43,55,61,76,78,86,98,110,114,123,133,140,146,158,170,177,318,322,331,335,343,360,364,376,379,391,401,410,414,422,431,439,598,603,615,620,632,637,644,652,666,672,681,686,699,710,719,723,735,740,754,762,766,774,787,790,798,813,816,828,837,842,856,863,873,875,884,897,906,908,919,929,936,942,956,967,971,983,986,1001,1005,1016,1025,1033,1037,1052,1054,1068,1078,1085,1094,1096,1106,1115,1124,1134,1140,1150,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,27,36,47,51,64,71,81,89,102,107,116,125,132,140,150,157,164,176,317,322,328,339,345,358,364,377,386,388,395,408,419,427,434,443,466,601,617,620,626,638,649,657,666,669,679,694,695,710,719,721,736,739,747,760,769,778,787,789,800,812,819,830,838,846,849,859,870,875,886,899,903,914,925,928,939,947,951,963,971,978,991,1001,1005,1012,1027,1031,1041,1051,1059,1069,1074,1084,1088,1102,1108,1114,1122,1131,1146,1153,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,17,24,29,34,45,53,65,73,80,86,97,102,113,126,135,141,150,156,165,172,316,325,330,343,344,354,369,373,383,392,400,404,418,426,433,438,599,603,611,625,628,637,644,654,669,675,684,688,702,705,712,726,730,743,748,761,763,771,785,790,803,810,815,824,838,842,854,860,873,875,890,893,901,912,922,931,939,945,956,964,969,977,989,1000,1008,1013,1025,1031,1039,1049,1060,1068,1072,1086,1089,1100,1110,1116,1126,1138,1145,1153,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,33,38,50,58,62,69,81,91,96,106,116,121,129,144,150,156,165,175,314,318,327,338,350,359,361,373,381,392,396,407,419,424,433,444,448,607,613,623,627,638,650,658,668,675,678,687,703,710,712,727,737,741,746,755,766,772,787,794,797,809,816,831,835,844,855,861,868,881,885,896,902,911,917,929,936,944,958,962,971,982,988,1002,1007,1013,1022,1035,1040,1050,1054,1063,1075,1081,1090,1097,1104,1116,1127,1135,1139,1153,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,24,28,38,50,56,65,74,77,89,97,104,112,120,135,139,145,158,169,176,186,326,330,339,346,356,366,372,383,388,403,406,413,429,434,442,466,602,616,622,626,636,650,658,668,670,684,689,700,710,715,724,733,739,751,754,766,776,782,793,804,809,817,823,834,846,854,861,866,881,886,893,908,914,919,931,940,950,951,961,969,976,987,995,1005,1013,1026,1033,1041,1045,1058,1066,1075,1081,1088,1099,1110,1116,1129,1132,1139,1152,1157,1169,1173	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,16,21,29,36,47,56,60,75,80,89,95,106,117,122,131,142,149,159,168,173,318,326,327,339,344,357,364,373,386,390,395,411,414,421,434,444,469,608,609,619,628,639,644,657,667,676,684,692,698,708,713,724,729,741,749,758,770,777,781,791,802,811,819,825,834,844,855,857,871,876,887,896,904,914,919,932,942,948,954,961,969,980,986,993,1010,1011,1023,1035,1040,1048,1055,1065,1078,1080,1089,1098,1109,1117,1125,1138,1142,1154,1157,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,28,38,48,52,64,76,84,87,97,109,116,121,134,137,152,160,166,178,315,319,327,342,349,359,366,372,378,392,401,404,418,424,431,442,598,602,615,620,629,639,649,657,663,676,684,694,700,707,717,721,729,738,752,762,769,776,788,796,802,810,814,824,835,843,851,862,865,882,888,897,907,912,924,926,937,946,951,960,973,978,986,997,1010,1012,1026,1031,1040,1050,1054,1063,1073,1079,1095,1104,1111,1116,1122,1131,1142,1152,1162,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,30,40,45,55,65,69,81,87,97,107,116,122,132,140,151,161,166,178,317,326,330,340,346,354,363,370,380,394,396,404,414,426,437,444,599,605,610,625,632,639,650,656,662,671,684,687,696,707,712,724,732,745,749,756,767,777,784,795,798,806,819,824,836,843,854,858,866,874,890,894,903,909,918,932,935,946,958,967,969,977,988,1000,1006,1018,1022,1034,1038,1053,1054,1062,1073,1085,1096,1098,1105,1116,1127,1133,1147,1155,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,31,35,50,56,60,73,84,87,101,102,116,120,133,141,147,159,166,175,314,325,333,340,346,359,366,370,379,394,402,406,412,424,436,443,466,608,609,622,630,638,650,658,661,674,681,694,695,709,715,722,732,739,752,762,768,776,780,793,805,811,822,827,834,845,850,861,868,876,882,897,901,909,923,932,936,946,952,965,976,979,989,1000,1005,1014,1021,1034,1043,1048,1059,1069,1078,1085,1087,1098,1106,1114,1127,1134,1140,1154,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,22,28,41,45,53,66,69,79,89,98,106,118,122,132,140,152,155,169,178,182,325,331,336,344,357,361,376,382,393,401,410,416,421,430,441,598,601,616,619,633,641,643,653,663,670,685,689,695,710,713,722,736,737,752,761,765,775,784,793,798,806,816,826,832,841,851,859,869,882,889,895,903,916,922,932,936,947,955,965,969,980,990,996,1010,1016,1023,1034,1043,1049,1058,1066,1077,1087,1088,1098,1109,1115,1123,1138,1143,1149,1161,1164	1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,21,30,37,43,55,65,70,78,88,97,109,119,120,136,141,146,157,166,177,314,321,329,338,350,353,362,371,379,387,396,405,420,426,430,439,449,601,612,621,634,637,647,657,662,674,683,691,697,705,717,724,735,743,751,758,765,779,783,796,800,806,816,829,839,840,854,862,869,879,883,899,901,913,925,926,941,944,953,965,971,985,986,994,1004,1012,1021,1030,1044,1045,1055,1066,1071,1085,1094,1096,1112,1113,1123,1130,1145,1150,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,33,35,50,58,62,68,80,89,101,108,119,125,136,145,149,156,164,179,317,325,334,340,348,359,369,370,386,388,402,407,413,421,431,442,597,602,617,626,631,639,649,653,668,673,681,692,697,704,715,721,735,741,748,761,769,777,786,796,799,813,816,829,837,845,853,864,873,875,889,898,904,913,924,928,941,944,953,967,975,978,985,1001,1006,1018,1027,1033,1037,1053,1058,1068,1074,1084,1089,1102,1107,1118,1128,1131,1142,1147,1164,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,18,29,37,42,57,60,70,77,92,100,107,117,122,129,139,152,155,164,174,314,326,327,337,349,352,369,377,379,392,402,411,415,423,433,446,453,600,613,626,628,642,649,654,662,676,681,686,699,708,716,725,730,742,747,754,768,779,780,792,803,810,820,823,835,843,850,858,865,878,883,892,900,909,918,929,934,942,955,965,972,980,987,999,1004,1017,1020,1034,1037,1052,1055,1068,1073,1082,1096,1100,1105,1119,1124,1138,1141,1150,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,25,31,38,48,53,64,71,84,90,98,104,111,123,135,139,150,155,164,170,316,325,331,337,349,354,361,375,380,390,400,411,412,427,436,439,599,603,610,618,634,638,651,656,668,672,678,694,699,703,713,724,737,741,751,757,769,771,784,793,802,808,822,826,835,843,856,862,867,882,887,892,905,914,924,933,942,948,953,965,973,984,991,995,1003,1014,1024,1033,1036,1045,1056,1069,1071,1081,1092,1099,1108,1118,1127,1136,1141,1152,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,25,29,36,47,52,64,69,82,91,97,102,115,123,128,136,151,161,162,175,313,321,327,343,352,360,364,377,383,393,399,406,412,427,430,438,599,601,615,621,634,637,645,659,665,673,679,686,700,704,715,727,736,742,749,758,767,774,784,794,804,808,817,826,837,844,855,860,866,876,890,896,908,913,918,930,940,950,953,961,974,979,991,999,1010,1017,1026,1028,1041,1052,1058,1068,1077,1079,1092,1100,1110,1115,1121,1131,1143,1151,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,24,31,39,46,51,64,68,83,85,99,102,117,123,135,144,151,156,168,173,315,324,327,342,351,354,362,377,380,386,395,406,415,425,434,445,469,604,613,623,631,635,648,656,665,677,679,690,701,708,715,724,730,743,749,757,765,777,786,796,797,810,821,825,834,847,856,859,867,879,885,896,906,912,924,931,936,943,953,963,974,978,991,996,1002,1015,1025,1031,1038,1046,1059,1064,1077,1081,1092,1097,1113,1117,1124,1134,1139,1151,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,22,30,41,51,52,64,73,79,92,98,102,112,123,135,139,150,154,167,178,313,321,329,343,350,354,368,374,385,389,397,405,417,420,436,445,453,606,614,619,629,642,645,659,669,673,681,686,700,708,719,726,729,742,754,760,767,773,780,788,797,813,817,829,833,844,856,859,867,880,885,897,905,914,921,933,938,947,955,966,969,977,989,997,1007,1015,1024,1035,1041,1048,1055,1070,1075,1086,1089,1101,1111,1118,1126,1136,1144,1150,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,27,34,46,57,62,68,80,87,97,103,115,125,134,139,152,155,165,174,315,324,327,337,351,357,363,370,384,389,403,411,415,426,429,439,451,604,617,622,634,638,645,657,665,672,682,690,697,706,714,723,733,745,748,755,763,778,787,797,805,811,819,828,837,844,852,860,872,880,884,893,905,912,925,930,941,945,954,963,972,977,985,995,1005,1017,1027,1035,1042,1052,1055,1065,1074,1081,1089,1101,1107,1121,1122,1130,1142,1155,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,28,38,42,51,59,76,80,91,96,110,113,125,135,137,153,161,170,172,315,326,332,341,345,356,362,374,378,394,398,406,417,426,437,438,458,603,612,624,630,639,648,659,667,677,681,691,695,708,718,721,729,744,752,760,766,778,784,790,798,814,821,823,838,845,851,859,866,879,885,894,908,913,921,930,936,945,952,965,974,978,987,995,1007,1016,1025,1032,1041,1051,1054,1067,1076,1082,1095,1100,1109,1120,1128,1135,1141,1147,1158,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,18,30,41,50,57,62,68,83,89,94,103,117,123,132,138,147,154,170,177,316,321,328,342,344,357,366,374,385,394,400,406,420,427,432,438,599,606,612,618,631,642,651,652,668,676,680,687,703,707,714,722,733,740,747,756,769,779,787,791,801,807,814,826,835,844,855,858,872,881,888,894,905,908,918,933,934,950,956,965,969,981,992,994,1006,1016,1023,1031,1040,1051,1061,1068,1077,1086,1095,1099,1112,1120,1128,1134,1140,1148,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,30,39,50,56,61,69,79,89,99,106,111,126,133,143,146,159,167,177,317,319,327,337,349,359,365,377,381,392,400,404,418,421,432,440,598,608,616,618,634,637,646,656,667,674,682,692,701,711,715,727,730,738,752,756,771,774,784,790,797,811,815,831,833,841,849,859,868,876,891,898,905,913,922,928,934,942,955,963,970,976,993,994,1003,1018,1021,1035,1037,1045,1055,1066,1077,1083,1096,1101,1104,1113,1125,1132,1142,1155,1159,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,32,35,50,59,66,73,84,88,97,105,118,120,133,136,147,160,170,172,314,326,333,337,351,357,369,374,385,389,400,410,414,420,432,445,596,605,610,619,629,638,645,659,661,676,682,686,696,706,718,722,731,746,752,761,768,776,781,792,804,807,820,825,832,846,854,863,873,879,887,895,904,909,920,927,936,944,953,966,972,977,988,997,1006,1014,1020,1028,1040,1051,1058,1062,1072,1087,1089,1096,1111,1119,1124,1134,1143,1147,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,17,28,38,49,53,60,72,82,85,95,110,111,121,134,138,146,156,168,178,315,321,329,340,352,356,363,375,384,389,399,407,420,426,431,439,597,604,614,625,627,641,650,656,662,672,678,691,699,707,718,722,731,739,753,760,769,778,788,794,805,807,814,829,834,845,857,860,870,878,885,897,903,911,918,930,937,943,955,964,969,983,989,998,1004,1011,1026,1034,1044,1045,1056,1068,1077,1082,1091,1102,1105,1113,1130,1138,1141,1148,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
4,11,18,29,39,49,57,67,69,80,90,95,106,117,126,128,140,152,162,164,175,181,325,332,340,345,359,361,369,378,394,395,404,419,424,436,444,596,607,613,625,633,639,644,659,663,671,679,692,696,709,713,722,735,741,751,756,771,777,785,797,800,808,821,827,836,847,855,865,867,879,889,899,906,913,921,931,936,944,957,961,971,978,991,995,1003,1013,1025,1028,1037,1049,1059,1066,1077,1084,1088,1096,1105,1116,1123,1136,1140,1153,1161,1172,1178	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,23,32,36,47,51,61,70,82,90,94,105,116,120,131,141,147,159,165,177,181,318,329,340,351,360,365,374,380,394,396,409,419,424,435,438,596,605,612,624,633,643,651,659,666,675,685,687,698,711,715,728,731,738,749,761,769,776,780,789,804,808,821,829,838,847,850,862,872,881,890,895,906,915,918,926,942,946,956,966,975,980,990,1001,1003,1011,1022,1033,1039,1052,1061,1065,1071,1080,1091,1101,1107,1114,1123,1137,1143,1153,1158,1170	0,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,15,20,26,38,46,57,60,70,77,87,98,108,114,125,128,142,152,157,167,173,181,322,330,341,347,357,361,370,379,394,403,407,416,426,429,439,598,607,612,624,627,640,650,652,668,674,683,693,701,706,714,723,731,742,748,754,769,773,785,792,800,810,815,827,837,843,849,859,870,878,885,899,906,914,923,925,941,949,953,963,969,978,990,1000,1003,1012,1026,1032,1037,1045,1061,1066,1077,1081,1096,1104,1111,1114,1125,1137,1147,1151,1159,1165,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,22,33,39,48,53,65,71,79,86,100,105,112,120,134,137,151,161,164,171,183,321,328,341,352,356,366,369,380,393,402,410,416,427,429,443,467,600,610,619,628,638,650,660,665,674,684,691,699,707,713,724,730,745,747,755,771,773,780,791,802,808,821,827,835,841,853,860,872,880,882,897,902,912,919,930,935,948,956,959,968,979,985,996,1006,1015,1024,1033,1038,1051,1058,1069,1073,1085,1094,1101,1110,1114,1122,1135,1146,1152,1160,1170,1177	1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,23,28,40,47,54,66,73,77,93,96,108,118,120,129,143,147,159,169,173,182,323,330,341,347,352,363,374,378,391,397,409,417,420,437,445,597,603,614,619,633,641,650,655,666,676,679,686,695,707,714,725,731,744,746,758,770,775,781,796,801,806,822,828,833,847,854,860,869,875,888,893,905,913,921,932,934,946,953,964,973,982,988,997,1005,1011,1024,1028,1039,1052,1057,1062,1075,1084,1092,1101,1110,1115,1128,1133,1145,1149,1158,1168,1178	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,25,27,34,44,52,66,69,78,87,100,105,119,126,129,143,149,160,168,177,179,324,332,340,347,355,367,376,380,392,400,406,414,421,431,441,462,602,611,618,631,635,646,660,668,669,678,687,695,703,718,727,734,743,750,757,767,777,785,791,800,811,821,823,831,845,856,860,868,879,883,893,905,909,923,929,934,945,951,962,972,982,991,1001,1007,1018,1027,1031,1044,1049,1058,1070,1075,1081,1093,1098,1105,1120,1122,1132,1139,1150,1159,1170	0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
1,15,23,33,38,44,51,63,68,81,88,97,106,116,125,132,140,146,158,169,177,184,319,327,340,347,352,368,376,381,389,398,410,415,423,431,437,466,608,615,620,626,636,644,655,661,671,682,688,697,709,717,721,732,741,749,757,763,771,785,793,803,812,814,830,834,848,852,857,867,879,887,893,901,914,920,929,934,942,952,962,972,978,986,997,1006,1011,1019,1028,1037,1046,1059,1066,1078,1081,1095,1102,1106,1117,1127,1132,1146,1153,1156,1170,1176	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,15,20,31,39,44,53,67,70,82,85,93,108,112,124,134,142,146,153,167,176,314,323,329,342,346,357,364,374,380,387,395,412,413,420,434,442,457,605,609,623,634,636,646,654,665,676,684,688,700,704,720,725,734,739,753,758,771,773,780,796,805,806,817,823,836,847,855,864,867,882,883,894,900,910,920,926,938,945,952,961,976,980,988,1000,1003,1018,1025,1033,1040,1050,1059,1066,1074,1084,1088,1104,1108,1119,1126,1132,1140,1150,1159,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,25,32,37,45,56,61,70,78,93,94,103,113,126,129,137,149,157,170,176,317,319,331,337,351,360,368,378,384,391,401,409,413,420,433,439,598,601,616,620,630,636,650,654,662,671,680,689,701,709,712,724,730,745,746,761,764,776,784,797,801,812,819,830,835,848,852,858,867,876,883,899,900,910,920,928,938,950,954,962,969,984,986,998,1004,1017,1019,1029,1042,1051,1061,1067,1077,1086,1094,1098,1107,1114,1123,1134,1146,1151,1162,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,15,20,31,39,48,55,61,76,82,91,98,110,112,121,134,139,153,160,162,174,179,325,335,343,346,352,363,369,379,389,401,410,415,429,435,441,598,606,616,618,627,637,644,656,662,672,682,693,698,704,713,723,737,744,746,755,766,777,781,792,798,807,816,829,836,848,856,863,867,881,889,892,904,914,917,925,934,943,956,962,972,984,992,999,1003,1018,1023,1035,1042,1046,1057,1062,1076,1084,1091,1101,1109,1113,1128,1136,1143,1151,1160,1172,1178	1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,8,21,30,35,45,59,62,75,84,89,99,107,111,124,128,141,146,156,164,178,179,323,328,335,351,352,361,369,381,387,401,409,417,427,429,441,596,602,610,623,630,640,646,654,668,676,682,693,700,706,713,728,733,740,749,762,771,776,781,796,799,806,818,826,839,848,853,860,871,878,891,898,904,914,924,928,938,950,956,961,971,980,993,995,1006,1013,1024,1029,1042,1051,1055,1062,1077,1081,1088,1096,1112,1120,1123,1133,1141,1152,1162,1168,1176	1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0
5,12,18,30,41,50,59,61,68,77,93,99,110,118,127,128,144,146,158,164,171,185,324,332,343,347,353,364,369,382,389,401,408,418,426,430,443,599,608,612,624,634,637,644,656,661,673,679,687,697,710,720,727,733,737,751,757,768,778,783,792,805,806,816,824,834,845,850,859,867,879,888,896,904,916,924,932,937,946,957,964,974,984,991,994,1004,1014,1020,1028,1038,1052,1061,1069,1074,1085,1092,1098,1105,1118,1130,1132,1141,1154,1160,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,14,20,26,41,48,54,66,69,78,93,97,103,116,120,130,142,148,159,168,175,181,324,328,335,351,359,363,371,382,390,399,409,416,426,430,440,468,605,612,622,629,642,647,657,661,674,679,694,701,710,717,725,734,741,751,761,769,774,781,795,803,808,816,829,836,840,851,857,871,880,887,892,906,916,924,926,941,943,952,965,973,979,988,994,1010,1014,1026,1028,1038,1049,1061,1070,1077,1083,1095,1096,1112,1119,1125,1135,1139,1151,1162,1166	1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,17,27,34,50,54,65,75,78,93,98,103,112,127,128,139,148,154,168,172,195,323,327,342,346,359,365,372,385,391,397,408,417,428,430,440,597,609,617,618,632,640,651,658,668,671,677,689,698,708,718,727,731,740,754,762,770,776,781,795,803,808,819,829,837,840,851,863,869,874,890,891,900,911,924,926,939,943,958,961,972,983,992,1001,1004,1017,1023,1029,1037,1051,1059,1065,1077,1082,1090,1100,1106,1116,1128,1134,1144,1154,1163,1168,1177	1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,18,32,36,51,53,61,73,78,92,98,102,117,127,131,138,153,159,169,174,313,320,331,337,349,358,365,375,380,394,399,411,418,423,436,442,597,606,616,622,629,641,647,660,663,671,685,687,703,705,717,724,729,743,748,755,763,773,787,792,801,814,822,823,831,845,854,862,873,880,882,892,900,911,923,928,941,947,954,960,969,977,991,995,1002,1011,1021,1035,1040,1045,1056,1064,1076,1079,1092,1103,1112,1119,1122,1138,1143,1151,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,23,26,37,42,58,64,68,79,92,96,105,111,126,136,140,145,160,164,175,313,326,327,339,351,357,363,371,382,389,399,404,414,425,437,439,451,603,610,618,628,642,648,658,666,672,677,691,695,703,716,725,735,743,748,758,765,779,784,792,800,812,819,824,837,841,855,862,872,880,887,892,902,910,920,927,938,946,951,961,971,977,987,997,1003,1012,1026,1034,1043,1048,1055,1063,1076,1085,1088,1103,1108,1117,1123,1134,1141,1151,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,31,37,50,56,67,74,85,89,99,109,111,122,132,140,148,158,166,178,314,321,330,338,344,353,362,376,382,390,403,408,412,428,431,441,599,603,612,618,628,643,648,656,667,675,678,687,702,705,714,723,729,744,747,757,765,777,783,792,805,812,819,825,833,846,855,861,873,877,887,892,905,911,919,932,936,946,958,963,970,981,988,995,1009,1014,1027,1032,1037,1048,1053,1066,1078,1081,1094,1096,1105,1117,1121,1137,1144,1152,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,32,38,49,51,61,75,82,93,97,103,111,125,130,139,149,159,166,174,314,321,334,340,347,358,366,372,383,387,398,410,418,428,430,441,468,605,609,625,633,638,645,655,665,676,682,687,697,706,719,721,729,740,749,756,769,773,783,790,801,806,822,830,832,847,852,863,871,875,888,892,906,909,922,927,934,943,954,963,974,976,985,994,1004,1015,1021,1030,1042,1047,1056,1068,1077,1081,1095,1097,1106,1113,1128,1132,1146,1152,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,21,29,35,48,56,65,71,82,87,94,104,118,126,135,137,150,155,167,177,317,321,333,343,345,354,361,370,383,389,403,409,413,428,437,441,460,603,610,621,626,638,648,653,661,675,684,693,695,703,719,723,730,746,751,759,768,771,780,795,797,809,820,826,835,840,856,861,871,879,886,891,904,908,917,933,934,942,952,967,968,983,987,998,1003,1011,1027,1036,1039,1047,1057,1062,1073,1082,1089,1097,1104,1117,1121,1132,1145,1153,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,33,40,48,57,67,72,82,89,99,106,118,122,133,143,153,160,170,178,313,323,326,337,350,356,365,370,380,391,395,411,412,422,434,440,460,604,616,622,633,635,645,658,663,676,679,692,697,707,719,723,730,740,748,756,770,777,787,796,797,812,818,829,834,840,856,859,867,877,888,899,904,912,918,932,934,942,956,964,976,977,989,996,1003,1014,1025,1033,1037,1053,1059,1064,1074,1081,1091,1098,1109,1117,1130,1137,1145,1151,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,23,26,35,45,53,61,74,85,92,95,109,114,126,129,140,153,155,169,178,316,322,328,342,349,357,367,372,382,389,401,407,418,423,437,445,596,606,617,624,629,639,646,653,667,672,684,686,698,707,719,723,735,742,747,762,770,772,785,791,797,814,822,828,835,840,856,865,874,876,887,895,904,912,923,930,940,947,959,963,973,978,985,996,1003,1015,1019,1028,1036,1046,1056,1069,1073,1085,1095,1096,1106,1121,1126,1131,1143,1153,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,29,40,49,59,63,70,83,93,98,104,115,124,133,139,147,158,165,175,317,320,330,342,349,355,366,376,384,391,402,411,417,429,433,441,598,604,617,625,628,636,649,653,664,677,685,689,694,711,714,725,735,739,753,756,767,774,788,791,798,812,815,827,836,842,850,857,869,876,888,896,907,910,920,925,935,946,954,967,975,982,991,1001,1003,1013,1026,1032,1039,1052,1060,1067,1074,1086,1094,1099,1108,1119,1125,1134,1146,1155,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,17,20,29,38,51,55,65,75,83,87,101,107,119,126,132,137,148,157,165,176,195,322,329,338,345,356,364,376,380,390,403,407,416,422,434,441,599,606,610,623,627,637,643,658,667,674,685,691,697,710,720,728,734,741,748,758,766,780,786,789,801,811,822,828,835,846,853,861,867,878,889,894,900,912,922,932,934,947,951,962,974,979,991,998,1008,1015,1023,1034,1037,1053,1055,1065,1076,1079,1095,1102,1110,1121,1128,1136,1142,1151,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,19,26,35,48,55,62,68,78,90,101,106,118,125,133,144,145,156,165,178,313,324,330,338,345,360,365,370,381,388,398,409,415,427,436,442,453,605,615,625,631,636,650,656,668,674,678,690,700,707,712,728,734,743,752,760,769,776,784,793,801,808,818,828,831,841,848,861,871,879,885,896,902,914,918,933,935,942,959,967,973,977,987,1001,1003,1014,1022,1033,1039,1047,1056,1067,1077,1086,1091,1097,1105,1117,1124,1137,1144,1154,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,29,36,47,51,65,71,80,92,96,108,115,123,134,136,145,160,168,173,317,324,334,341,344,359,365,376,384,392,397,404,420,423,430,438,596,609,614,619,629,635,650,654,666,672,682,687,698,708,713,723,735,738,750,759,764,776,784,794,803,811,821,829,835,847,854,863,866,882,883,892,903,909,924,933,940,945,959,963,973,982,993,1001,1006,1014,1025,1030,1037,1049,1055,1070,1077,1079,1089,1101,1110,1118,1125,1135,1144,1151,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,22,29,42,47,51,67,71,79,90,98,109,118,123,132,143,150,154,163,175,313,319,327,335,344,356,361,377,379,393,396,411,417,427,434,441,598,603,613,621,629,638,649,656,667,672,678,692,698,707,713,727,731,743,751,762,769,779,780,789,802,809,819,826,835,846,849,859,873,877,884,899,906,913,919,932,942,945,952,966,972,979,993,1001,1010,1017,1023,1035,1040,1049,1054,1063,1073,1081,1094,1104,1112,1120,1128,1138,1146,1153,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,26,35,45,58,63,75,78,88,94,106,113,126,133,143,150,155,165,174,316,323,331,339,349,353,363,372,380,388,396,403,414,423,435,440,449,606,613,625,628,638,648,654,661,675,680,686,696,708,717,720,735,738,751,756,765,779,787,795,801,810,814,825,831,841,848,858,869,876,886,891,900,916,922,930,938,946,958,963,969,981,988,995,1004,1014,1025,1028,1040,1045,1058,1068,1070,1086,1092,1099,1111,1119,1126,1137,1143,1148,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,17,27,41,47,59,61,72,83,88,95,109,118,120,134,139,149,154,163,178,182,319,330,341,351,356,364,371,382,394,402,408,417,425,432,439,454,603,614,625,631,637,644,656,661,670,681,691,700,706,712,720,735,739,753,759,770,773,782,792,800,806,822,831,838,848,854,865,867,882,884,899,907,915,922,931,935,944,952,964,973,979,986,1000,1004,1018,1021,1034,1040,1046,1060,1065,1076,1087,1089,1097,1109,1115,1128,1133,1144,1153,1160,1167	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
5,10,21,30,40,46,56,65,69,79,91,96,108,115,120,132,138,146,156,166,174,317,321,334,338,347,354,367,372,385,389,396,405,420,428,433,441,469,604,612,622,632,641,649,653,666,673,684,693,701,704,713,726,733,737,749,758,770,773,786,794,804,810,814,823,834,846,853,864,871,876,888,892,905,913,919,930,938,949,958,965,972,977,992,999,1010,1018,1021,1034,1039,1052,1054,1067,1077,1080,1091,1103,1105,1120,1127,1132,1139,1152,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,27,39,50,54,67,70,84,87,96,107,117,127,132,136,146,157,167,173,316,322,332,338,350,359,361,374,384,391,402,404,413,425,433,440,458,609,613,622,629,637,646,658,667,676,686,690,701,706,720,723,732,738,748,757,766,775,781,794,802,809,816,830,835,848,854,860,872,881,886,898,908,912,925,933,940,942,956,963,971,984,993,1001,1006,1016,1025,1033,1040,1052,1060,1064,1072,1084,1090,1100,1108,1117,1123,1138,1145,1149,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,26,36,50,53,66,70,84,89,94,105,118,121,133,144,149,155,166,171,316,325,331,340,349,357,366,373,380,388,395,410,414,427,430,441,596,605,616,626,627,635,651,654,665,675,685,687,703,710,712,726,737,742,753,755,769,775,783,793,803,807,820,823,833,840,856,865,873,875,891,896,905,910,919,929,942,946,952,966,971,980,989,998,1009,1017,1026,1032,1040,1047,1059,1066,1075,1079,1094,1097,1109,1116,1128,1138,1147,1149,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,31,34,43,56,62,69,79,93,96,109,119,124,128,142,152,155,169,174,314,325,327,340,349,355,365,369,383,390,398,411,418,422,432,442,596,608,609,622,628,636,646,654,664,677,682,694,695,705,715,723,733,741,753,763,767,772,788,794,802,812,816,823,834,840,856,865,874,877,884,892,902,912,920,929,938,948,954,962,972,983,992,993,1008,1018,1023,1032,1036,1048,1056,1069,1077,1084,1094,1098,1109,1114,1126,1136,1144,1151,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,24,27,37,47,58,64,76,80,89,100,106,117,123,129,143,148,160,167,178,313,321,328,336,350,358,368,372,385,387,395,406,419,426,434,439,599,608,609,623,629,643,650,653,661,675,679,693,700,706,718,723,729,744,751,757,765,771,785,792,798,810,818,826,836,848,849,858,870,881,885,899,900,913,924,928,936,942,952,966,973,981,991,995,1006,1015,1020,1034,1042,1049,1057,1069,1075,1083,1096,1101,1105,1117,1122,1138,1144,1152,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,25,31,36,50,54,59,70,78,88,95,104,115,123,132,142,149,158,168,171,316,323,329,343,350,352,363,371,386,387,395,406,419,427,436,442,467,607,617,626,633,637,643,654,664,671,683,689,702,706,716,728,736,737,749,762,765,774,788,796,805,811,817,827,832,842,854,863,867,881,887,894,903,914,919,930,939,947,951,960,970,977,989,999,1005,1019,1022,1029,1041,1045,1057,1067,1072,1080,1096,1103,1111,1115,1124,1137,1140,1153,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,19,33,34,46,58,67,75,80,88,96,109,117,120,135,138,152,161,162,173,313,318,328,339,345,359,365,371,385,390,395,409,414,426,435,441,448,604,610,623,634,635,645,652,668,672,683,687,699,709,712,721,736,742,749,760,764,779,788,791,801,809,818,826,832,843,849,857,871,875,889,899,900,914,918,930,938,948,953,959,970,981,986,1001,1003,1012,1027,1030,1043,1051,1057,1066,1074,1079,1088,1097,1105,1117,1125,1133,1143,1153,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,26,36,43,58,62,71,77,90,99,104,116,121,133,138,150,154,168,177,317,324,333,343,351,353,369,376,382,386,397,411,415,427,432,439,600,605,615,625,632,635,649,652,668,670,684,690,698,710,720,725,734,740,748,758,771,779,780,789,798,812,821,825,839,845,855,863,873,879,885,896,908,913,918,928,935,949,957,967,968,982,992,999,1009,1012,1023,1032,1041,1051,1054,1070,1071,1082,1092,1096,1107,1120,1128,1134,1141,1150,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,31,39,47,56,62,71,85,90,97,109,113,125,134,144,150,154,162,171,317,326,332,336,344,358,365,377,384,391,402,407,417,427,434,441,597,601,616,623,628,636,644,655,663,676,683,688,698,705,713,726,736,743,750,759,770,774,780,791,804,807,819,830,837,846,851,861,870,880,887,898,901,912,918,931,940,949,958,966,973,983,989,998,1005,1013,1020,1028,1040,1048,1060,1062,1072,1080,1089,1099,1112,1114,1122,1131,1139,1149,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,31,34,50,55,61,73,81,86,102,109,112,125,130,140,148,156,162,178,315,318,326,336,349,360,367,374,386,390,395,411,412,428,430,441,596,609,613,623,634,638,648,655,664,675,685,694,701,710,718,722,735,745,749,762,764,776,782,789,798,807,816,822,838,841,853,860,868,879,886,893,902,910,918,926,935,949,959,967,972,984,993,998,1004,1015,1022,1032,1038,1049,1057,1069,1070,1086,1089,1100,1105,1115,1130,1131,1145,1150,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,25,30,39,47,52,62,75,82,92,95,108,119,126,132,143,153,159,166,173,314,321,334,337,347,357,364,374,385,393,395,406,417,428,435,444,467,609,612,624,634,641,645,658,666,674,685,690,697,710,719,725,736,741,748,759,763,777,787,794,799,814,822,823,839,840,849,865,872,879,883,893,902,908,925,933,937,948,951,962,968,981,993,997,1002,1019,1021,1031,1041,1053,1057,1068,1077,1079,1087,1103,1105,1118,1129,1137,1145,1155,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,20,25,36,43,55,62,70,82,87,102,104,118,120,134,139,149,157,167,174,317,319,334,337,344,356,365,371,378,392,395,405,419,426,432,446,596,601,613,622,634,638,648,652,667,671,684,689,697,708,718,726,730,739,754,762,766,777,782,794,801,808,819,826,834,842,850,859,865,880,890,896,900,909,922,929,939,945,951,967,970,980,988,994,1010,1015,1025,1028,1041,1048,1057,1062,1072,1084,1088,1097,1110,1113,1127,1135,1145,1154,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,23,30,36,43,56,61,76,83,92,99,106,118,125,131,138,145,153,164,176,182,323,329,337,344,354,361,374,382,391,402,405,415,422,432,444,597,602,615,625,627,641,644,657,666,671,685,691,701,710,712,728,734,746,753,758,767,776,781,792,798,809,819,828,836,843,849,861,867,876,882,897,907,915,919,932,940,950,954,962,969,977,987,994,1005,1017,1020,1029,1038,1051,1055,1062,1076,1087,1095,1099,1105,1116,1122,1130,1142,1147,1161,1166	1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,23,26,42,43,52,63,76,84,87,94,106,118,119,130,140,149,161,166,179,181,322,327,343,350,354,364,374,381,394,403,407,412,422,434,445,599,608,611,624,632,638,647,652,667,673,685,686,701,711,720,725,735,744,754,760,767,778,788,792,799,807,815,830,838,848,854,857,872,882,884,891,905,915,923,932,934,950,951,967,974,978,986,996,1007,1015,1025,1030,1037,1049,1055,1065,1073,1086,1088,1101,1112,1114,1130,1138,1142,1148,1158,1165,1178	1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,12,20,32,41,43,51,64,75,84,88,100,109,119,126,136,139,147,159,168,178,180,318,332,339,350,359,362,371,385,387,395,408,419,422,435,441,597,603,613,620,631,638,647,657,661,676,683,687,697,704,716,724,730,740,748,758,771,772,782,791,803,806,821,826,831,844,848,860,867,881,885,895,902,914,917,926,939,950,952,965,973,983,993,999,1007,1017,1023,1027,1039,1047,1060,1069,1070,1083,1092,1103,1109,1121,1123,1137,1144,1150,1159,1171,1173	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,11,17,29,40,48,59,68,73,84,87,101,107,113,126,133,139,152,160,163,178,180,319,329,338,352,360,362,376,383,387,397,408,419,422,437,438,598,608,611,619,632,641,647,657,663,674,682,687,699,705,719,722,734,745,750,759,769,779,781,796,801,809,814,823,839,841,851,858,867,875,885,894,904,910,922,928,939,947,959,962,974,983,992,1000,1008,1014,1026,1033,1040,1047,1061,1062,1074,1082,1095,1096,1113,1117,1129,1132,1143,1147,1159,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
1,10,21,26,35,50,59,63,73,79,88,100,108,117,120,134,140,145,160,165,176,183,324,334,343,349,359,367,372,386,391,398,405,420,422,430,445,596,602,612,622,631,636,650,654,666,672,682,688,696,709,720,722,730,738,749,756,767,774,780,795,800,810,818,828,838,846,853,857,868,879,888,894,899,910,919,932,935,946,953,965,968,983,987,998,1004,1018,1023,1032,1043,1046,1057,1064,1078,1085,1095,1099,1106,1117,1122,1130,1145,1155,1159,1171,1174	0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
1,10,24,32,37,50,53,62,76,80,93,97,109,114,123,133,138,147,161,166,172,183,323,333,338,344,355,363,375,379,386,396,406,418,429,431,442,599,603,612,619,628,637,646,659,661,671,678,693,695,704,713,728,733,743,753,759,770,774,782,796,804,812,820,827,837,842,854,859,872,882,884,894,901,916,924,930,939,947,957,964,970,978,991,1000,1010,1014,1019,1035,1036,1046,1055,1070,1076,1084,1093,1103,1113,1120,1123,1135,1143,1153,1157,1171,1177	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,20,30,38,47,53,62,74,81,90,97,102,116,122,136,143,146,156,168,174,181,322,327,337,350,360,367,374,379,394,396,411,420,427,431,446,597,608,617,621,630,638,651,654,661,671,682,690,695,708,719,728,735,739,754,756,770,779,781,789,800,810,822,830,839,842,849,857,867,875,889,894,900,910,922,926,934,943,952,965,976,985,992,998,1010,1012,1020,1034,1040,1046,1057,1068,1076,1086,1087,1096,1108,1116,1127,1136,1140,1153,1164,1169,1174	0,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,23,26,41,47,59,64,72,83,93,95,110,117,123,134,140,147,154,167,174,186,322,335,337,350,356,362,371,386,394,399,407,416,421,437,445,459,606,610,622,628,639,644,653,665,674,683,692,699,709,717,724,736,746,753,760,766,772,787,789,802,811,819,823,834,843,853,860,866,876,885,896,903,910,919,930,940,945,958,962,972,981,985,1001,1008,1018,1026,1034,1040,1048,1055,1062,1077,1082,1089,1096,1110,1114,1127,1133,1145,1151,1163,1166,1176	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,17,30,42,49,59,66,73,78,88,98,110,117,124,132,139,149,159,168,178,315,318,333,339,346,360,366,372,386,390,400,409,420,422,432,441,457,602,613,618,628,642,648,659,666,672,680,689,703,706,713,721,735,741,750,758,766,777,785,794,800,810,821,823,835,841,851,864,869,879,887,899,905,909,918,925,938,945,955,965,972,978,985,1000,1009,1014,1027,1034,1039,1050,1055,1067,1078,1079,1095,1102,1113,1115,1124,1135,1143,1155,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,29,41,46,51,63,71,78,88,98,109,119,123,133,138,149,156,170,178,198,323,328,337,350,354,362,376,385,390,395,409,418,424,433,440,600,609,614,618,632,638,647,656,668,670,684,693,702,705,719,721,736,745,750,758,770,772,782,791,802,814,818,831,838,841,851,859,873,876,891,896,905,913,919,925,936,943,957,962,975,982,992,1000,1008,1012,1023,1036,1039,1049,1059,1068,1072,1086,1094,1102,1105,1114,1130,1137,1140,1148,1163,1166,1177	1,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,23,33,36,45,53,60,73,81,85,95,105,111,126,131,144,151,158,165,173,192,318,334,335,344,355,366,378,381,387,395,408,414,424,431,444,596,603,612,621,627,637,649,655,667,673,686,691,702,709,720,725,735,745,748,762,768,779,787,797,802,810,820,824,837,846,851,865,870,878,889,899,902,914,920,931,934,948,953,959,974,981,991,1002,1003,1011,1027,1032,1044,1047,1055,1069,1075,1086,1093,1102,1107,1121,1128,1132,1145,1149,1159,1170,1173	0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,12,25,33,36,43,52,66,72,80,91,101,110,111,120,132,140,148,154,168,173,184,322,331,339,352,353,365,374,378,391,397,410,419,423,430,443,598,601,616,624,632,639,647,654,663,670,683,688,696,710,717,724,734,744,752,757,765,778,783,795,797,814,815,827,835,845,848,857,870,878,883,895,902,912,919,933,940,949,953,963,976,982,989,994,1008,1016,1022,1030,1042,1052,1060,1067,1075,1087,1090,1101,1107,1113,1124,1132,1144,1155,1162,1167,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,22,29,41,48,51,66,69,79,87,102,104,116,121,134,137,147,157,164,174,180,322,328,336,348,354,362,374,380,392,402,409,419,422,435,441,596,606,610,623,630,642,650,654,661,674,679,694,702,705,713,722,732,742,749,758,768,771,782,791,804,806,821,829,834,841,849,861,865,878,888,891,901,910,924,930,936,948,951,964,969,982,992,996,1010,1014,1026,1034,1044,1052,1061,1064,1078,1083,1088,1103,1106,1116,1129,1131,1145,1148,1158,1168	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,23,27,37,45,54,60,75,81,87,95,108,111,120,135,143,153,154,163,175,184,324,335,339,350,352,361,369,379,392,402,406,420,428,436,445,596,603,609,624,633,636,646,659,664,675,679,689,698,705,713,722,732,742,747,761,770,775,786,790,804,806,818,829,833,842,856,864,872,880,884,894,900,912,918,932,942,950,957,966,972,984,989,997,1002,1013,1022,1035,1040,1050,1053,1067,1076,1079,1094,1100,1105,1121,1130,1137,1140,1149,1158,1164,1174	1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,11,18,32,37,46,53,65,69,79,91,99,104,111,120,129,142,147,155,168,175,187,322,333,343,351,360,367,372,380,388,399,410,413,428,435,444,466,605,612,625,634,638,648,653,666,674,681,687,695,707,719,720,732,745,754,756,766,775,787,792,800,812,816,827,833,842,852,864,868,878,885,892,905,909,920,932,934,946,957,967,976,980,992,996,1004,1012,1027,1032,1041,1053,1059,1067,1071,1080,1094,1101,1113,1114,1127,1131,1141,1154,1158,1165,1178	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,23,26,39,48,59,62,70,79,91,101,109,113,120,132,140,149,161,169,176,314,324,331,342,352,358,364,376,385,388,400,404,417,426,435,441,597,607,609,622,629,635,647,660,665,673,682,694,695,707,720,727,733,744,750,755,763,775,786,795,799,809,816,822,831,841,854,864,870,880,889,896,901,909,922,933,937,944,957,967,969,984,989,998,1005,1013,1021,1032,1037,1046,1060,1070,1072,1079,1091,1104,1106,1116,1128,1133,1139,1152,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,32,37,47,53,65,70,84,87,94,107,114,123,130,142,148,157,167,173,314,326,329,342,348,353,368,375,381,387,397,411,414,428,435,438,597,606,616,625,628,639,646,659,668,674,684,687,703,710,713,720,733,746,751,758,768,778,782,796,803,807,816,829,835,843,850,865,872,882,883,891,906,909,923,928,940,943,951,960,975,978,988,995,1004,1014,1027,1034,1041,1048,1058,1069,1075,1085,1093,1103,1108,1115,1130,1131,1139,1152,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,26,37,50,56,60,70,78,92,94,105,111,125,134,143,152,158,164,175,314,324,327,343,350,359,364,375,382,390,396,411,419,425,431,441,458,609,617,619,634,638,648,660,663,671,678,686,697,705,715,721,735,744,753,763,764,775,786,789,803,811,814,823,834,842,854,860,871,880,889,894,908,914,923,930,940,944,954,960,974,978,986,1000,1007,1016,1025,1033,1039,1049,1055,1068,1074,1080,1090,1102,1111,1120,1123,1134,1146,1148,1162,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,32,34,47,53,63,71,79,93,98,107,118,126,132,144,146,155,167,176,315,322,327,337,351,360,367,376,380,392,399,409,417,425,430,444,471,602,614,623,632,635,648,659,664,676,683,692,701,707,715,721,736,745,749,761,771,772,780,790,801,807,818,824,837,845,852,861,867,877,886,891,902,913,917,928,936,945,951,959,974,983,992,997,1003,1014,1020,1028,1041,1051,1054,1065,1073,1081,1094,1100,1105,1119,1129,1133,1146,1155,1163,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,31,40,45,53,61,68,79,86,97,110,118,124,132,137,149,161,169,177,313,320,333,338,348,358,368,377,380,389,396,410,419,427,432,442,598,603,617,625,630,642,646,654,661,673,684,694,701,706,716,726,737,741,751,759,764,778,786,792,803,809,815,830,838,841,854,864,871,881,886,899,904,910,921,927,941,950,954,963,973,977,987,1000,1006,1013,1025,1031,1039,1049,1057,1068,1072,1085,1096,1104,1110,1117,1126,1132,1144,1154,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,28,40,46,56,67,73,80,85,98,104,112,120,136,141,152,154,165,174,318,319,326,340,350,358,368,371,386,388,397,410,415,428,433,444,597,601,616,624,630,639,645,656,668,670,683,689,702,704,712,721,732,744,746,755,770,777,786,794,801,812,815,823,832,843,854,862,866,878,890,894,902,908,925,929,935,949,955,965,969,984,987,998,1006,1016,1023,1032,1039,1046,1061,1067,1072,1082,1089,1101,1106,1114,1129,1134,1143,1151,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,30,36,44,52,67,74,83,86,95,109,114,120,135,141,148,154,170,172,314,321,329,341,348,358,369,372,384,393,399,411,414,424,431,439,600,606,617,624,628,642,647,657,666,676,681,688,702,709,713,723,730,737,746,759,769,776,785,792,799,813,820,825,839,843,855,864,868,879,890,892,907,911,923,926,940,948,955,967,974,978,986,999,1008,1018,1026,1035,1037,1049,1056,1067,1070,1084,1095,1097,1105,1118,1122,1138,1142,1154,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,20,33,35,48,54,62,73,82,92,96,106,119,126,134,139,146,161,165,176,313,324,334,342,347,359,368,371,381,388,398,407,417,427,436,440,596,605,614,623,627,640,644,654,666,669,685,688,701,705,716,728,734,741,746,757,766,778,781,793,805,813,815,829,839,844,852,858,868,874,889,893,906,908,924,926,936,946,953,966,971,981,989,999,1010,1012,1022,1032,1042,1052,1061,1063,1070,1082,1089,1097,1106,1116,1128,1130,1141,1150,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,28,34,49,52,60,75,79,92,102,106,113,123,135,136,149,156,167,177,181,325,331,342,349,355,362,376,378,394,398,412,414,422,435,443,597,606,616,620,634,638,644,654,665,673,679,689,700,707,713,725,732,740,749,756,771,780,786,794,802,808,815,826,839,847,853,862,870,878,890,898,904,910,917,926,939,947,959,962,971,979,992,1001,1005,1014,1020,1033,1039,1045,1060,1066,1077,1079,1094,1104,1112,1113,1129,1130,1141,1152,1161,1171,1177	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0
5,15,20,26,42,44,56,65,70,77,89,101,106,119,124,131,140,150,161,164,174,317,325,329,340,346,354,368,373,382,390,398,404,417,428,434,444,463,604,615,626,628,635,651,655,665,669,678,692,702,704,715,725,736,742,751,762,771,772,781,789,798,812,822,824,835,842,852,861,872,874,885,892,905,916,921,927,936,950,952,965,973,980,992,1000,1004,1015,1021,1029,1044,1050,1057,1065,1074,1084,1088,1104,1106,1117,1125,1133,1140,1155,1158,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,25,38,44,53,64,68,77,86,94,107,116,127,133,143,153,161,168,176,315,323,334,342,349,360,365,375,379,395,403,409,418,427,434,447,457,607,613,619,632,643,648,655,665,671,685,690,696,703,720,722,730,741,748,758,767,777,788,795,804,806,819,828,832,846,854,860,871,880,886,895,907,911,924,928,938,949,953,966,975,977,991,999,1005,1016,1022,1035,1037,1045,1061,1069,1073,1087,1092,1096,1107,1115,1124,1132,1145,1153,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,32,40,44,58,64,71,80,88,95,106,119,123,131,143,148,159,170,177,316,324,331,343,344,354,367,373,378,391,396,410,416,424,435,445,597,605,612,626,628,642,648,658,662,673,679,694,699,709,713,727,735,741,754,757,767,776,783,796,799,808,822,829,836,845,854,865,871,875,891,892,907,913,918,929,935,943,951,964,972,984,986,996,1007,1012,1019,1028,1037,1050,1056,1063,1075,1082,1089,1103,1107,1118,1125,1131,1146,1150,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,26,37,44,52,66,68,82,91,99,109,111,122,131,138,146,160,166,176,314,318,329,342,351,352,362,374,386,393,395,409,418,428,429,438,599,603,616,624,626,641,649,653,664,669,678,689,701,711,718,727,735,743,750,756,765,774,782,795,802,812,816,828,838,844,854,862,867,876,889,892,904,909,923,928,934,945,957,960,973,980,989,1001,1003,1011,1024,1031,1040,1052,1056,1062,1079,1083,1089,1100,1108,1121,1126,1130,1139,1150,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,32,37,45,53,60,69,82,86,97,108,118,123,130,144,153,160,165,177,183,326,327,339,346,358,368,371,380,394,403,406,417,423,431,438,596,604,616,620,634,641,649,660,665,677,683,687,695,704,719,728,730,744,749,759,771,780,784,792,801,808,815,824,837,846,856,864,868,877,885,897,905,914,922,929,941,945,953,960,975,981,991,997,1003,1014,1023,1033,1039,1052,1055,1067,1076,1085,1095,1097,1110,1115,1124,1135,1140,1151,1161,1169	1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,24,31,35,44,57,61,73,77,89,99,104,114,123,131,143,146,161,169,172,316,323,328,343,349,355,362,376,380,386,396,410,417,424,437,442,469,604,610,622,634,638,647,658,661,670,683,693,697,710,715,727,736,745,750,756,767,777,780,797,800,809,822,830,834,845,853,858,870,881,883,894,904,915,920,933,941,946,952,961,968,980,990,1002,1003,1019,1021,1032,1043,1052,1055,1066,1078,1086,1094,1103,1111,1116,1124,1130,1140,1155,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,21,25,39,48,51,60,71,83,92,96,106,115,123,135,138,146,153,166,177,313,325,327,341,349,354,366,374,381,392,395,406,419,421,431,439,470,605,616,623,628,639,647,653,660,671,679,694,699,708,712,721,736,741,748,754,768,777,782,792,803,806,821,825,839,843,851,858,871,879,884,897,900,910,923,933,942,943,958,962,976,977,986,997,1010,1014,1024,1028,1043,1050,1054,1066,1076,1081,1094,1100,1105,1121,1126,1137,1139,1153,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,31,40,47,54,63,69,78,92,101,105,111,126,136,140,146,157,165,177,316,322,333,336,350,359,362,375,385,393,403,410,419,421,435,446,458,601,617,619,626,637,647,655,664,673,683,692,696,706,716,726,733,741,748,756,767,773,787,796,805,806,820,824,831,844,856,857,866,878,886,898,904,910,917,930,939,950,958,965,971,981,985,998,1008,1016,1019,1035,1041,1053,1058,1065,1073,1084,1090,1101,1106,1118,1123,1131,1143,1151,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,30,39,45,56,61,76,79,86,94,106,119,127,133,136,150,161,168,171,314,325,331,342,347,354,361,371,382,387,402,408,414,421,437,438,600,601,610,618,629,639,652,659,666,673,685,690,701,704,720,724,733,741,748,762,768,778,785,795,801,811,821,830,838,844,855,865,869,877,884,892,902,910,921,926,939,950,957,964,973,984,987,1000,1008,1012,1025,1035,1044,1045,1061,1063,1072,1081,1088,1102,1109,1118,1129,1130,1146,1153,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,26,38,46,52,66,69,76,91,99,110,116,124,133,144,147,154,169,178,315,324,333,342,349,358,363,372,386,393,400,409,416,421,435,442,600,607,611,618,632,637,646,657,664,671,678,692,703,708,715,720,732,739,750,762,765,775,786,796,797,810,815,823,839,844,848,863,872,878,889,898,903,908,921,927,941,944,954,961,976,977,987,1001,1002,1016,1023,1032,1040,1045,1055,1064,1075,1085,1091,1103,1108,1116,1128,1135,1141,1149,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,22,31,34,50,52,63,68,84,86,101,103,119,122,136,139,150,158,166,173,314,323,330,340,350,359,369,373,378,388,398,407,418,427,432,443,458,601,612,618,634,641,645,654,668,673,677,688,695,704,717,725,734,744,750,757,770,773,782,796,802,811,820,824,839,841,851,864,872,875,883,892,904,915,919,931,935,944,959,961,976,980,987,999,1004,1012,1022,1031,1043,1046,1056,1064,1075,1082,1093,1101,1110,1113,1130,1131,1138,1154,1164,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,31,39,42,54,61,76,78,92,98,108,119,122,135,140,150,160,166,175,314,319,327,341,351,353,361,372,380,390,401,409,420,428,429,445,452,602,610,625,627,639,651,654,660,671,685,691,695,704,719,728,734,744,754,761,766,772,787,789,798,814,815,824,839,844,856,859,871,881,891,893,901,914,918,928,935,946,958,963,969,978,987,1000,1005,1010,1022,1031,1037,1046,1060,1063,1078,1080,1092,1104,1108,1115,1129,1135,1145,1148,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,24,28,39,43,57,63,72,77,93,98,110,119,127,129,143,148,158,166,175,313,322,330,338,347,360,364,376,379,389,403,406,420,421,436,443,598,604,612,626,631,642,650,654,666,671,677,694,701,710,712,724,731,746,750,755,766,776,783,791,797,812,822,824,833,845,856,864,872,875,891,896,902,909,917,927,936,949,958,967,968,979,989,997,1008,1015,1022,1028,1037,1046,1053,1062,1071,1086,1091,1101,1111,1118,1127,1131,1139,1152,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,30,41,49,51,65,72,78,89,95,102,116,126,135,137,145,160,170,177,315,325,327,339,346,358,368,373,383,391,398,404,419,425,430,440,598,601,616,624,631,639,645,656,667,670,682,690,701,710,712,722,736,743,748,760,770,776,785,790,800,811,818,825,834,840,854,859,869,875,891,898,902,913,921,928,941,950,958,959,974,979,988,1001,1004,1012,1022,1029,1042,1050,1055,1064,1071,1084,1093,1099,1109,1118,1124,1136,1142,1148,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,25,29,41,49,53,66,68,79,85,101,105,117,126,129,139,145,159,164,171,317,319,327,336,344,356,367,369,384,391,396,410,412,422,434,444,596,605,615,624,631,639,651,655,665,676,680,694,701,708,719,725,734,745,754,759,764,777,788,793,799,812,820,827,835,841,852,864,870,877,889,898,899,916,923,932,940,950,954,961,968,978,989,993,1009,1017,1026,1036,1039,1052,1056,1064,1071,1084,1089,1103,1113,1118,1122,1132,1146,1147,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,19,32,38,50,52,61,74,85,86,97,108,115,124,134,136,153,157,169,179,315,323,327,342,352,355,365,373,386,394,398,405,417,424,435,444,598,605,617,623,629,640,648,658,668,677,684,691,700,711,713,722,732,743,749,761,764,778,787,793,799,808,820,829,833,847,854,863,867,874,886,896,907,909,920,930,936,944,954,965,973,979,988,993,1006,1016,1025,1030,1043,1045,1057,1064,1071,1086,1095,1100,1109,1118,1123,1131,1143,1152,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,27,37,48,57,64,71,85,90,95,109,117,125,129,139,146,161,170,172,316,320,334,340,352,359,367,370,383,391,396,407,414,421,434,444,599,605,611,625,629,641,646,654,662,672,681,686,699,703,717,721,736,740,747,758,764,774,788,793,805,807,822,826,837,847,849,860,868,874,887,891,904,914,923,931,934,946,957,962,970,984,985,995,1004,1014,1022,1031,1038,1046,1055,1069,1076,1080,1091,1096,1111,1121,1122,1136,1139,1155,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,31,38,49,53,62,76,77,86,95,107,113,123,132,138,153,154,166,176,179,323,331,336,346,354,365,369,385,388,397,405,413,423,431,445,459,604,616,625,632,638,646,653,665,675,685,687,696,706,720,721,735,738,753,757,767,779,787,790,802,814,817,825,839,843,852,863,868,875,887,894,904,914,923,930,934,949,958,960,976,983,986,998,1007,1018,1023,1028,1040,1053,1056,1070,1074,1085,1093,1103,1109,1120,1127,1135,1140,1151,1160,1169,1174	1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
8,10,23,28,38,49,55,63,70,82,93,96,104,118,124,132,140,147,155,165,177,182,323,328,343,345,354,365,370,386,387,398,411,412,424,429,441,596,603,610,619,632,635,648,656,664,676,686,691,699,708,714,725,731,745,749,758,767,776,785,795,801,813,820,830,838,842,854,865,874,876,887,897,907,909,923,933,938,944,951,959,975,982,991,996,1006,1012,1019,1036,1037,1048,1058,1070,1076,1083,1092,1101,1106,1118,1129,1130,1144,1154,1163,1169,1177	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,16,22,33,41,50,53,62,72,81,93,98,104,116,120,132,140,150,158,166,174,187,323,334,338,348,357,363,373,381,393,403,409,413,427,432,440,597,604,616,625,629,636,649,655,667,675,682,692,695,711,716,723,734,739,752,759,764,774,785,796,802,809,821,824,834,845,853,861,872,876,889,896,906,914,922,925,934,948,954,968,975,984,986,1002,1008,1015,1026,1035,1041,1049,1060,1064,1074,1086,1095,1101,1105,1121,1125,1135,1140,1154,1162,1167,1175	0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,23,30,40,49,59,65,76,84,88,98,104,119,122,133,140,151,161,163,176,190,320,333,335,346,360,362,373,381,386,399,408,414,424,436,445,598,601,616,624,631,641,651,652,665,672,677,686,696,703,713,723,734,741,749,762,771,775,783,796,799,806,820,826,831,841,853,860,868,882,889,896,902,916,918,931,940,943,953,964,972,984,993,999,1008,1011,1024,1031,1041,1048,1055,1069,1071,1080,1095,1103,1111,1116,1125,1138,1140,1149,1156,1165	0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,12,20,31,36,43,52,64,74,79,89,100,104,112,123,136,141,150,153,162,170,190,324,328,341,344,352,364,372,378,387,398,409,414,426,429,438,596,601,613,618,633,636,650,654,664,670,685,693,696,705,716,722,734,744,752,758,771,775,786,791,798,810,814,831,835,843,857,862,872,879,888,894,903,912,921,932,941,943,951,965,974,978,985,996,1005,1018,1024,1031,1042,1045,1055,1063,1073,1085,1089,1101,1112,1117,1125,1132,1144,1155,1158,1166	1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,23,32,35,49,52,61,73,77,92,94,107,116,125,128,144,145,161,162,176,180,324,330,343,350,355,368,375,384,390,402,405,420,428,434,440,598,607,610,626,629,636,650,657,665,671,682,689,696,709,718,725,731,744,750,756,765,777,784,790,800,808,820,824,837,841,851,861,868,881,890,894,907,916,919,927,938,943,956,964,971,980,987,996,1007,1018,1021,1032,1043,1051,1054,1069,1077,1085,1088,1102,1104,1114,1126,1134,1141,1152,1162,1169,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,21,26,41,48,56,66,76,82,92,96,104,118,125,129,144,151,160,163,173,194,319,334,339,349,353,364,372,382,388,398,404,414,425,435,437,452,602,610,624,633,637,651,660,662,672,685,689,695,707,715,725,730,745,749,758,770,772,782,792,803,813,818,826,837,847,851,859,872,881,887,897,906,912,924,928,938,950,955,961,971,977,993,998,1004,1014,1020,1031,1042,1045,1055,1067,1075,1085,1094,1101,1111,1118,1124,1131,1142,1147,1156,1172	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
3,13,20,34,42,48,59,66,68,81,85,94,106,114,126,131,138,147,155,166,173,190,319,330,336,344,355,367,371,382,394,403,409,420,426,435,445,597,602,612,623,633,635,648,653,662,676,678,691,702,708,715,728,733,739,752,759,767,779,785,789,802,813,814,824,836,846,856,862,866,874,883,895,905,911,920,929,939,945,952,961,974,979,989,1000,1007,1017,1020,1034,1039,1052,1057,1066,1077,1085,1090,1103,1108,1118,1123,1134,1142,1147,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,15,22,33,38,45,54,66,74,83,86,99,105,116,121,134,138,147,157,168,173,317,326,334,339,345,359,364,372,382,391,400,406,414,426,433,438,453,602,617,618,631,639,649,655,667,670,682,693,695,703,718,722,730,742,749,759,769,773,788,794,804,808,819,829,837,842,855,863,871,880,888,895,905,910,922,929,942,947,959,967,970,981,991,999,1005,1013,1027,1029,1039,1046,1056,1069,1072,1081,1093,1097,1110,1117,1125,1134,1139,1153,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,33,37,49,55,63,76,80,88,100,104,112,121,131,143,152,161,170,176,188,325,328,336,345,359,361,370,384,388,400,404,420,423,429,444,598,601,613,623,634,639,644,657,663,674,677,693,699,709,719,726,734,744,753,758,770,773,786,789,797,812,819,824,836,844,856,857,871,881,886,899,905,911,922,933,937,950,954,960,975,979,989,994,1004,1014,1023,1035,1038,1045,1057,1066,1078,1080,1090,1101,1104,1116,1128,1135,1145,1150,1163,1170,1176	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,21,29,40,47,57,60,70,78,93,98,108,116,124,128,139,149,157,168,177,191,323,330,341,344,358,367,370,382,391,397,410,416,426,436,439,599,608,611,620,631,642,648,656,661,670,680,688,703,708,717,728,735,740,752,758,766,772,781,795,797,812,817,828,836,846,850,864,868,877,890,893,901,909,923,930,937,950,957,962,971,978,990,993,1009,1012,1026,1033,1036,1052,1058,1067,1077,1081,1095,1097,1112,1117,1126,1135,1140,1149,1162,1169	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,11,24,28,34,49,55,60,69,83,92,95,108,115,125,132,141,148,157,165,176,184,319,328,341,347,357,366,372,386,387,399,410,416,421,429,438,599,607,610,620,626,637,651,659,665,669,683,689,699,710,712,726,729,742,748,761,768,772,781,792,802,806,821,822,835,842,850,858,867,874,885,897,901,912,918,925,938,949,954,965,973,981,992,998,1004,1013,1021,1033,1036,1051,1059,1062,1071,1086,1093,1097,1105,1119,1127,1132,1146,1149,1164,1167	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,24,30,38,47,58,64,73,84,86,96,106,112,127,130,138,148,160,165,174,180,326,334,340,345,360,366,374,382,387,397,411,416,425,434,441,596,608,617,620,630,641,646,655,665,677,682,691,698,705,720,726,737,738,750,760,763,780,782,792,803,806,821,830,833,846,849,857,866,879,886,891,904,916,921,933,940,950,952,961,976,985,993,996,1007,1012,1022,1030,1043,1050,1058,1065,1072,1082,1094,1104,1112,1114,1129,1137,1142,1150,1158,1169,1174	1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,12,18,26,41,47,58,60,72,77,87,95,105,114,125,129,143,152,158,168,175,314,326,331,339,344,359,368,373,386,391,399,405,413,426,435,440,599,606,610,621,628,638,646,656,664,672,678,690,702,710,717,721,734,743,746,757,768,771,783,789,803,810,815,831,836,843,849,859,873,874,890,897,904,909,924,931,935,950,956,965,969,981,988,1001,1007,1017,1026,1033,1036,1053,1057,1067,1072,1082,1094,1103,1111,1121,1126,1130,1144,1147,1161,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,22,26,40,44,54,60,73,82,88,102,110,119,124,132,144,145,160,164,171,200,319,333,335,346,357,363,374,384,393,400,406,418,426,435,442,455,609,613,625,627,642,650,656,666,671,684,688,701,711,718,727,735,738,753,760,768,772,788,789,798,806,814,829,832,847,851,857,870,880,888,896,908,916,925,930,939,944,957,959,969,984,991,999,1009,1017,1021,1032,1038,1047,1058,1064,1071,1080,1093,1104,1107,1117,1129,1135,1146,1153,1156,1170,1175	0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,24,29,39,47,59,63,72,84,93,95,108,117,121,130,140,151,157,167,177,318,322,332,342,346,360,365,371,383,393,397,404,416,427,429,443,463,605,612,625,626,639,648,656,663,671,679,692,697,705,718,728,736,739,752,762,767,777,784,789,800,809,817,823,832,844,849,858,872,874,882,891,907,910,921,929,934,943,956,962,974,976,992,1002,1007,1015,1025,1034,1039,1052,1056,1068,1079,1085,1088,1101,1109,1121,1122,1138,1140,1150,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,24,28,34,45,57,65,76,83,86,101,104,113,127,131,143,152,155,163,176,313,326,331,342,351,354,362,375,381,393,402,410,412,423,429,439,451,601,613,623,628,635,644,657,662,675,680,693,698,709,714,725,734,746,749,760,764,774,780,796,797,807,815,825,838,841,854,862,872,876,887,892,904,910,921,929,938,948,958,967,975,984,987,999,1009,1010,1026,1028,1041,1051,1056,1069,1076,1082,1091,1099,1107,1119,1126,1134,1143,1155,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,23,26,36,50,54,63,72,84,85,94,103,113,123,134,145,148,154,167,178,315,322,329,337,348,357,363,371,381,387,400,409,417,423,437,443,456,606,617,621,626,641,648,657,666,676,681,692,700,706,712,723,734,740,754,758,769,774,787,791,800,812,822,830,835,844,853,862,869,874,883,893,905,914,920,931,941,946,951,961,972,985,993,998,1005,1014,1019,1030,1044,1047,1061,1066,1072,1086,1090,1101,1107,1120,1122,1138,1145,1150,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,20,26,35,49,52,68,72,81,93,102,104,119,122,132,138,148,159,163,179,317,325,335,341,350,353,367,373,383,392,403,405,413,426,432,438,598,608,615,622,635,641,645,655,666,676,680,688,696,704,716,721,737,739,750,757,770,773,785,796,801,814,821,829,837,841,851,858,871,878,891,895,904,915,917,927,942,950,954,966,971,977,989,998,1007,1012,1027,1033,1039,1048,1053,1062,1073,1084,1089,1104,1111,1115,1126,1130,1144,1153,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,30,37,46,57,63,74,81,85,101,105,119,124,135,138,152,162,169,175,317,322,328,340,346,354,364,373,385,392,399,409,413,427,430,442,458,602,616,623,627,637,649,654,668,677,680,694,695,705,716,722,730,744,750,756,770,775,786,789,804,806,815,826,833,848,850,860,867,876,888,894,905,910,919,930,936,947,959,962,970,983,987,998,1004,1015,1022,1029,1037,1050,1055,1067,1072,1083,1094,1101,1112,1117,1128,1134,1140,1155,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,19,26,42,49,53,66,69,78,85,96,108,117,120,131,144,149,155,162,178,317,318,329,339,349,353,367,371,380,392,401,408,414,425,429,442,596,605,612,623,632,636,644,658,666,673,679,691,696,705,716,728,734,742,752,756,770,779,782,797,800,809,818,828,837,844,851,862,874,880,889,893,900,914,920,933,937,944,951,960,976,981,991,999,1006,1013,1024,1035,1043,1051,1054,1062,1071,1081,1090,1096,1107,1116,1127,1138,1141,1153,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,30,34,43,54,64,70,80,86,99,107,115,121,134,139,152,159,162,178,313,321,329,341,343,356,364,375,384,394,399,405,418,428,434,440,448,606,609,625,628,638,650,654,662,675,686,688,702,709,713,728,731,739,748,754,766,775,783,796,801,806,822,831,835,842,855,857,870,877,886,898,903,915,920,928,934,947,952,961,968,980,988,995,1009,1014,1026,1031,1037,1048,1060,1067,1077,1082,1091,1100,1107,1116,1126,1136,1144,1147,1159,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,27,39,43,55,66,75,78,89,96,102,115,123,131,139,145,159,164,177,314,322,332,336,350,359,362,371,380,392,397,409,417,421,432,442,598,604,612,622,633,638,650,656,665,673,681,693,698,709,712,727,736,745,748,755,764,774,785,796,801,811,817,830,832,842,853,860,872,880,885,895,903,912,922,928,937,947,954,959,975,981,992,996,1003,1013,1019,1031,1038,1050,1056,1068,1073,1080,1091,1098,1106,1117,1126,1134,1145,1155,1164,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,18,32,41,44,55,64,73,82,90,102,109,117,125,131,137,153,156,166,172,188,320,331,343,349,355,363,377,381,389,395,410,418,429,433,440,465,602,614,622,631,640,645,655,662,675,686,691,696,710,713,724,737,739,750,762,769,774,783,789,803,814,816,823,835,846,853,864,866,875,889,894,902,915,921,930,938,944,952,964,968,980,990,996,1003,1018,1024,1030,1039,1047,1060,1067,1070,1085,1089,1102,1109,1120,1123,1136,1146,1152,1157,1169	1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,8,19,34,40,49,54,63,74,84,88,101,106,113,122,134,144,146,159,167,171,316,322,327,343,348,355,361,377,381,391,399,408,419,421,429,446,458,606,610,619,634,637,651,657,661,677,678,694,697,705,714,722,733,740,746,761,767,779,786,790,800,810,817,824,837,841,856,864,869,877,890,897,903,913,923,930,941,945,953,964,972,978,991,997,1002,1019,1026,1034,1038,1051,1057,1062,1072,1087,1093,1097,1111,1116,1127,1133,1142,1148,1164,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,28,41,48,57,65,74,81,88,100,105,111,125,133,137,152,158,163,177,315,324,331,340,351,352,367,369,380,389,395,412,417,421,435,445,471,602,611,618,632,640,647,659,665,675,679,687,698,709,713,728,729,740,752,757,767,773,788,794,801,807,820,824,834,846,855,864,872,881,889,898,900,912,918,932,941,942,954,963,976,982,986,1001,1002,1015,1026,1033,1038,1047,1057,1068,1072,1085,1088,1103,1109,1113,1125,1134,1142,1153,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,19,31,38,50,58,66,72,79,92,102,103,118,119,129,137,153,156,165,175,318,322,328,335,348,359,363,374,381,389,395,409,416,421,429,440,599,603,612,623,633,643,651,655,662,677,684,688,701,705,713,720,734,743,752,757,763,775,784,793,804,814,817,830,834,841,853,864,873,876,888,894,903,911,917,925,934,950,951,961,976,983,986,993,1006,1013,1021,1034,1043,1050,1055,1070,1076,1087,1093,1099,1109,1117,1128,1138,1144,1151,1161,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,26,41,43,58,62,68,77,87,98,107,112,121,132,141,150,155,163,172,317,323,329,336,345,354,368,375,386,391,401,405,416,422,433,444,469,606,610,618,629,636,647,656,663,676,679,693,695,707,713,722,736,742,751,755,764,772,787,792,800,806,814,827,832,841,854,864,866,881,887,892,906,915,920,930,936,944,952,960,974,980,993,994,1006,1013,1022,1032,1042,1052,1057,1065,1073,1087,1090,1103,1108,1114,1128,1133,1147,1148,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,33,38,49,52,64,73,82,87,100,104,111,123,136,143,150,155,164,171,318,326,328,343,350,359,367,371,382,386,399,407,414,426,432,444,597,602,616,624,631,641,649,656,666,672,680,687,702,704,716,725,732,740,752,755,763,779,781,789,797,810,818,827,838,848,849,860,869,878,888,894,908,914,923,932,934,950,959,963,976,979,988,1001,1004,1010,1025,1028,1044,1052,1055,1065,1073,1086,1092,1104,1106,1115,1125,1132,1145,1155,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,20,29,34,48,52,65,69,81,93,97,103,116,125,130,140,151,153,165,171,316,326,334,340,350,357,366,372,379,394,399,411,414,427,435,442,599,603,613,625,634,639,649,654,668,676,685,692,700,705,716,724,732,740,752,759,767,776,787,795,801,812,817,827,834,840,851,858,866,876,889,898,902,916,924,933,935,947,959,961,975,978,990,998,1003,1015,1025,1032,1039,1051,1056,1070,1076,1084,1094,1097,1106,1119,1123,1137,1138,1148,1161,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,20,26,39,50,53,65,74,80,87,98,109,114,123,131,144,147,162,168,177,316,324,330,338,344,356,362,377,380,391,396,405,415,426,429,439,596,606,609,619,627,640,645,653,662,669,682,690,703,709,715,723,733,737,746,758,770,776,787,788,797,813,820,827,832,840,848,864,872,878,887,895,901,909,924,929,940,943,955,967,972,980,991,993,1004,1019,1026,1036,1042,1052,1058,1069,1073,1084,1091,1103,1110,1118,1125,1132,1145,1154,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,24,26,42,49,53,66,72,82,90,100,109,116,127,128,144,153,161,165,175,313,321,333,342,350,357,363,377,379,389,403,405,418,424,436,439,597,601,612,621,627,636,645,657,663,670,683,690,697,710,718,727,731,744,748,763,765,778,782,796,801,811,822,825,834,843,855,863,868,877,888,892,907,909,925,928,939,948,953,966,974,983,992,1002,1006,1011,1019,1033,1043,1045,1059,1062,1073,1082,1094,1097,1110,1114,1127,1137,1147,1151,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,25,37,45,58,61,73,79,85,96,102,115,123,134,144,148,158,164,178,316,323,334,336,350,357,369,376,382,394,403,404,419,424,434,438,597,605,613,620,633,643,644,659,668,670,686,689,697,711,714,728,731,741,750,760,763,771,780,792,801,810,820,828,839,841,848,860,869,879,887,894,905,909,919,927,936,943,952,967,971,977,988,1001,1005,1013,1023,1029,1038,1047,1060,1069,1076,1081,1093,1099,1105,1119,1129,1136,1144,1153,1163,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,27,37,47,59,67,75,79,91,95,107,116,120,135,143,151,160,168,177,317,321,328,340,344,354,366,375,385,387,396,405,419,426,431,444,451,607,612,620,630,639,650,654,667,672,679,694,695,710,716,728,736,737,749,759,767,776,780,793,799,807,822,825,832,844,854,857,870,876,884,893,899,912,923,931,940,950,956,966,975,981,990,1000,1002,1017,1023,1030,1042,1050,1057,1069,1076,1086,1090,1097,1110,1117,1125,1130,1139,1151,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,31,40,44,52,61,68,82,91,97,109,113,126,128,140,145,161,170,172,318,319,328,341,347,359,369,376,378,393,400,404,416,423,434,439,597,606,611,623,628,639,645,655,660,672,685,688,695,710,719,724,737,743,747,761,766,773,784,795,801,812,820,827,831,844,851,860,871,876,883,896,907,911,924,927,941,950,951,967,974,981,992,999,1005,1013,1022,1029,1041,1048,1061,1063,1071,1083,1091,1097,1110,1118,1126,1138,1146,1149,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,26,42,49,52,62,68,78,89,98,103,112,124,128,143,146,159,162,178,316,324,329,340,347,358,367,377,379,390,395,410,419,428,430,438,599,601,617,618,629,642,648,657,669,672,681,689,697,709,712,725,729,742,747,754,765,772,784,794,804,813,818,825,839,844,854,857,870,877,882,894,907,913,923,930,939,946,956,962,974,982,987,998,1010,1013,1019,1029,1039,1051,1055,1067,1072,1083,1090,1102,1107,1116,1127,1131,1145,1152,1164,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,23,29,34,46,57,68,74,80,92,98,102,113,127,136,137,149,159,167,172,313,326,329,343,350,358,364,375,381,388,396,404,412,423,437,440,462,602,613,618,632,635,650,657,665,672,685,690,695,711,712,728,730,739,750,757,768,779,783,790,803,811,821,829,831,844,849,857,873,878,883,896,903,912,922,931,936,943,959,961,972,980,987,995,1007,1014,1021,1034,1039,1052,1055,1064,1073,1081,1091,1096,1112,1113,1129,1132,1143,1151,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,26,37,44,58,62,70,77,88,96,110,115,125,128,138,146,158,162,179,316,325,328,340,351,356,365,371,385,387,403,406,418,423,430,441,598,602,613,624,633,639,645,653,664,670,682,687,696,705,717,726,730,743,751,759,763,772,782,793,800,808,819,827,838,843,851,861,872,874,887,891,901,912,921,930,938,942,958,962,970,981,993,1001,1006,1016,1021,1028,1041,1048,1055,1062,1078,1086,1095,1103,1112,1119,1128,1134,1146,1149,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,28,40,51,55,64,73,79,85,95,104,112,126,136,139,145,158,168,178,315,323,330,335,350,359,367,377,383,388,398,406,419,428,432,444,600,609,616,624,628,639,643,657,664,669,682,692,703,708,715,720,730,743,751,756,770,777,785,792,804,806,820,828,839,844,851,861,868,880,890,892,901,916,918,925,939,948,951,966,971,977,990,997,1003,1014,1027,1033,1036,1046,1055,1065,1073,1083,1089,1103,1111,1119,1124,1137,1147,1153,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,25,33,40,43,58,61,69,78,91,100,104,119,120,130,144,145,161,167,173,317,318,335,339,348,357,366,375,384,391,402,409,418,422,434,445,470,601,610,624,631,640,651,655,660,676,679,694,698,708,719,722,732,741,747,761,764,774,786,795,801,813,818,827,838,847,849,858,874,877,888,893,904,910,919,930,936,947,956,960,969,984,985,999,1010,1012,1021,1034,1041,1049,1056,1062,1072,1083,1094,1103,1106,1121,1126,1133,1146,1149,1161,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,33,40,44,57,64,72,80,87,100,109,111,120,128,143,152,161,166,174,316,318,327,341,344,355,366,375,378,388,399,407,419,428,429,446,596,603,613,618,634,642,648,653,668,675,684,690,703,709,716,727,735,744,752,756,765,777,788,789,799,813,820,830,834,846,852,860,867,876,888,897,903,915,917,933,939,948,955,965,970,978,990,995,1008,1015,1020,1029,1039,1048,1054,1066,1078,1087,1094,1100,1112,1120,1123,1131,1146,1151,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,27,37,48,52,65,76,81,93,102,107,115,120,136,142,150,156,166,177,184,320,331,343,345,355,361,371,381,393,400,407,413,428,429,440,466,601,613,625,627,636,644,659,661,670,685,688,703,708,714,721,737,741,746,755,770,776,787,789,801,813,818,827,836,840,850,858,871,880,889,895,901,914,920,931,939,949,953,961,976,978,990,999,1003,1011,1023,1033,1036,1049,1060,1066,1076,1084,1088,1099,1106,1120,1123,1132,1139,1149,1160,1171,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,16,18,28,37,49,53,61,71,79,86,94,103,113,120,128,142,147,159,165,176,181,326,327,340,349,354,362,374,383,387,396,410,419,425,432,438,597,609,614,625,629,639,649,654,661,671,684,691,700,711,712,720,729,743,748,759,771,778,781,792,805,806,816,827,833,841,853,864,872,880,889,893,908,910,918,933,935,948,956,965,971,984,991,996,1007,1015,1020,1032,1044,1052,1061,1068,1078,1083,1093,1100,1107,1116,1123,1130,1141,1152,1159,1169,1176	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,23,27,38,48,54,67,72,83,92,102,106,118,120,128,140,146,159,170,174,182,325,334,338,347,353,365,371,386,388,397,410,413,423,436,445,452,606,612,619,633,636,651,659,664,671,683,687,695,709,719,727,730,740,751,756,770,778,781,794,799,809,820,823,835,847,853,864,870,882,884,897,903,915,921,933,934,947,956,965,969,978,987,994,1007,1017,1024,1033,1040,1049,1058,1064,1073,1080,1094,1098,1109,1117,1122,1133,1146,1153,1159,1167,1174	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1
6,11,20,28,40,46,54,62,73,83,91,95,103,115,119,128,145,147,156,166,175,184,318,331,336,346,354,369,372,381,393,398,405,420,421,432,438,596,603,612,620,630,635,649,655,668,675,682,689,700,706,718,726,729,741,749,760,767,772,784,796,801,811,817,830,837,843,852,861,872,878,884,897,902,909,924,928,938,948,958,964,969,981,989,993,1004,1011,1027,1035,1041,1051,1057,1065,1074,1086,1094,1100,1105,1118,1125,1138,1142,1150,1161,1169	1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,17,29,40,45,52,62,70,78,87,100,105,116,126,132,144,151,157,165,170,186,322,332,335,345,359,367,377,384,392,396,411,412,426,433,443,600,605,613,620,631,642,652,658,668,670,685,690,695,709,714,724,730,741,750,756,767,778,783,794,804,807,821,829,835,841,852,863,868,876,883,892,906,909,918,928,935,943,959,962,974,977,988,999,1002,1015,1023,1031,1044,1048,1055,1069,1076,1083,1090,1102,1106,1121,1123,1136,1139,1155,1158,1171,1178	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,13,23,26,42,44,55,61,69,78,88,96,104,111,123,135,144,153,161,164,176,183,324,333,336,347,360,362,376,386,388,400,405,420,427,429,438,596,602,612,622,629,638,648,652,667,672,685,692,702,710,715,723,729,739,751,762,768,776,787,794,801,806,821,829,833,846,851,864,870,880,882,897,906,915,920,927,934,948,957,961,969,983,990,997,1003,1011,1023,1030,1039,1050,1059,1064,1070,1084,1088,1103,1105,1113,1128,1137,1145,1152,1161,1168,1177	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,10,24,26,39,50,54,67,76,78,87,96,102,115,124,128,139,145,157,167,177,181,325,328,336,344,360,366,374,382,388,396,410,416,424,435,444,466,603,617,625,634,638,648,655,666,671,682,686,700,704,714,721,735,739,750,759,770,775,782,795,799,808,816,830,833,847,854,857,866,882,887,894,900,913,918,931,939,950,953,963,976,978,990,994,1008,1016,1024,1033,1044,1048,1054,1068,1075,1084,1087,1097,1108,1113,1127,1131,1141,1149,1158,1170,1177	1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,21,25,42,50,52,60,69,84,90,99,110,113,120,133,137,151,155,166,174,179,318,328,336,351,354,368,373,380,389,399,407,419,422,434,442,599,601,612,621,628,638,645,657,666,677,678,687,700,707,717,727,732,744,748,758,764,772,784,790,799,807,819,823,833,846,849,863,867,876,887,894,904,913,919,928,942,947,951,963,976,978,992,999,1009,1016,1027,1028,1042,1053,1059,1067,1077,1082,1091,1097,1108,1115,1123,1133,1139,1152,1160,1167,1175	1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,21,29,39,46,56,62,70,77,90,96,110,117,125,133,143,146,154,169,172,315,324,332,341,345,359,361,375,379,394,396,407,417,429,432,439,596,608,614,619,633,638,648,655,662,675,685,688,699,704,720,726,731,740,752,761,770,776,780,790,799,810,822,827,833,847,850,857,871,880,884,896,905,914,920,926,937,946,955,965,968,984,993,999,1002,1015,1027,1028,1041,1045,1060,1063,1078,1087,1094,1096,1113,1117,1129,1135,1141,1148,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,17,32,38,46,53,63,71,85,93,98,106,113,121,131,137,152,157,166,175,188,323,334,338,347,354,366,369,379,386,397,406,415,427,429,445,471,604,617,621,628,643,650,652,668,669,685,694,702,709,717,728,733,740,748,755,765,772,784,794,801,813,815,829,832,841,855,863,868,875,890,897,903,910,922,925,941,944,954,962,969,984,987,994,1002,1014,1024,1035,1040,1046,1059,1070,1071,1079,1089,1097,1112,1115,1128,1135,1140,1154,1160,1167	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,11,24,26,35,43,53,62,75,77,86,97,102,112,124,129,142,146,157,168,176,181,322,326,336,351,357,362,374,386,395,403,408,420,429,432,442,468,608,615,621,630,640,644,654,662,671,678,694,702,703,720,724,737,743,747,757,764,773,785,793,799,811,821,825,839,847,852,863,868,878,888,891,905,916,921,927,936,944,957,967,974,977,986,997,1008,1013,1023,1034,1038,1052,1057,1062,1077,1082,1089,1101,1107,1117,1126,1130,1140,1151,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,15,23,31,35,48,57,68,73,77,86,102,105,115,127,128,143,151,162,164,174,180,322,335,340,350,353,366,369,384,388,402,404,415,426,437,445,598,603,616,623,627,636,648,652,665,673,682,691,695,709,712,725,729,738,747,757,766,773,784,791,805,811,821,827,835,844,852,864,867,878,887,897,899,909,920,933,941,945,959,967,975,980,985,996,1004,1013,1024,1032,1041,1045,1061,1067,1071,1086,1089,1098,1105,1119,1124,1135,1146,1154,1163,1168,1178	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,9,21,31,36,47,58,61,68,83,86,98,105,118,119,131,138,147,155,166,177,188,322,332,335,347,354,369,377,379,388,397,409,419,423,437,443,599,603,612,625,634,636,648,656,664,675,684,687,698,709,714,723,732,738,747,759,768,779,788,791,800,814,817,825,837,843,852,858,867,877,883,896,908,909,920,926,935,950,951,963,970,977,987,993,1006,1019,1021,1033,1041,1048,1061,1067,1076,1080,1093,1098,1108,1116,1129,1137,1139,1154,1157,1167,1176	1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,18,33,35,44,53,63,76,80,86,100,110,115,120,130,137,150,158,163,173,185,320,327,339,352,360,365,376,380,389,398,404,416,421,432,444,599,600,613,626,632,642,643,656,661,670,685,691,703,710,712,725,734,742,750,758,765,777,784,796,803,807,820,829,834,845,851,861,872,877,884,891,906,915,925,930,939,944,956,966,969,978,987,995,1004,1013,1021,1036,1042,1053,1057,1068,1077,1084,1092,1104,1110,1121,1127,1134,1141,1147,1160,1169	0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,139,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,22,28,42,43,52,64,69,77,86,102,108,115,122,128,144,152,158,168,173,185,326,333,337,348,360,367,372,381,388,399,412,420,424,431,439,468,603,609,618,630,635,645,655,666,671,682,691,697,710,715,726,734,742,749,755,769,775,786,794,800,809,817,829,836,844,856,861,870,882,888,896,901,910,917,927,939,943,954,966,971,979,986,998,1007,1018,1020,1029,1040,1050,1056,1070,1074,1086,1093,1097,1111,1115,1122,1135,1146,1150,1160,1165,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,11,19,32,34,46,53,62,72,82,88,98,103,116,121,131,139,149,156,165,171,317,325,333,339,343,352,361,375,386,390,395,405,419,427,431,442,599,604,611,621,630,641,644,658,663,676,686,694,703,705,718,727,735,739,751,762,766,773,788,797,804,808,815,830,839,841,852,862,874,881,883,899,901,908,918,932,935,942,958,962,971,980,992,999,1007,1015,1022,1030,1038,1045,1053,1069,1072,1079,1092,1102,1107,1120,1126,1137,1144,1149,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,31,39,43,57,63,68,81,89,98,109,112,120,136,141,145,158,162,175,315,323,327,340,345,355,362,376,384,390,401,411,413,423,430,444,598,608,613,625,630,638,649,653,663,674,679,691,700,705,717,727,729,743,752,755,766,772,787,794,801,806,820,827,834,844,855,864,872,880,889,899,908,914,924,929,942,946,951,961,969,984,990,998,1002,1017,1020,1030,1042,1050,1061,1068,1076,1085,1094,1100,1108,1118,1127,1135,1142,1148,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,28,39,42,58,67,69,78,86,102,104,119,121,129,143,152,156,165,172,313,318,331,341,345,354,363,377,382,394,398,405,418,426,431,439,599,607,612,624,634,639,649,652,667,675,681,690,695,705,717,724,732,740,753,762,763,778,780,790,802,806,821,825,836,845,852,861,872,881,884,896,905,914,920,932,941,945,954,962,969,982,990,993,1004,1016,1024,1034,1044,1050,1054,1070,1078,1081,1092,1096,1111,1116,1126,1135,1142,1147,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,26,38,49,55,67,71,83,87,99,105,113,127,134,140,152,156,168,173,317,320,328,341,346,357,368,377,385,388,400,408,417,428,431,446,597,608,615,626,632,635,648,653,664,677,683,694,695,711,720,726,734,745,749,757,769,774,786,789,802,806,814,827,839,848,855,860,868,882,887,892,907,915,917,933,934,947,953,960,975,981,990,999,1004,1012,1025,1035,1038,1045,1056,1068,1071,1081,1093,1101,1106,1119,1125,1130,1142,1151,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,26,38,49,56,60,76,82,88,97,110,114,124,129,139,152,155,162,178,318,326,331,338,348,354,363,372,386,390,400,406,415,422,433,439,468,601,612,623,629,642,648,656,663,673,685,689,698,711,712,721,733,739,754,762,765,772,784,793,803,808,818,828,838,840,851,857,871,880,888,895,906,914,922,927,936,946,954,965,970,983,993,996,1006,1015,1026,1029,1042,1046,1061,1062,1079,1087,1093,1096,1106,1121,1122,1138,1143,1155,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,32,37,43,53,61,72,79,88,97,108,117,125,135,142,151,155,162,172,313,320,330,343,351,355,361,370,385,387,400,405,420,426,432,438,458,605,610,619,631,636,645,656,667,675,685,692,699,707,719,720,736,741,748,756,764,771,783,789,803,814,819,826,834,846,851,865,870,880,883,894,901,915,920,927,940,946,951,964,972,982,990,994,1004,1012,1027,1030,1039,1051,1061,1068,1072,1084,1092,1104,1111,1117,1128,1131,1145,1150,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,30,36,49,57,66,73,76,86,98,103,114,122,134,137,146,160,170,172,316,325,328,342,346,355,364,375,384,388,397,408,416,422,437,442,599,606,610,625,632,643,649,656,663,674,681,691,702,704,714,726,733,744,751,758,768,779,784,791,800,810,818,825,839,846,851,865,869,875,888,898,903,908,923,932,941,945,951,961,970,977,991,1001,1006,1015,1026,1030,1041,1045,1061,1065,1074,1087,1094,1096,1105,1118,1128,1132,1143,1150,1164,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,31,41,44,56,67,71,82,86,97,108,118,125,131,138,151,158,169,179,313,321,330,340,350,357,363,371,381,392,399,409,412,422,431,446,467,606,609,625,629,637,647,657,665,675,683,691,703,704,719,728,736,740,751,754,766,776,788,790,803,810,818,829,831,844,854,862,869,881,883,895,906,908,923,929,942,950,958,967,970,982,987,1000,1005,1014,1026,1035,1041,1053,1056,1067,1078,1080,1092,1098,1111,1113,1123,1138,1142,1153,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,34,39,43,57,66,73,79,86,99,104,111,127,134,138,151,158,164,176,186,322,332,336,344,359,363,369,378,394,399,409,419,421,432,445,471,607,610,623,629,640,650,659,667,674,684,686,700,708,714,727,733,743,751,755,764,776,784,792,798,814,819,824,834,845,857,861,869,875,889,894,906,908,920,929,934,947,955,965,971,979,993,996,1008,1011,1025,1035,1038,1051,1061,1064,1070,1079,1095,1099,1105,1115,1128,1138,1146,1149,1160,1165,1177	1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,23,28,42,51,58,68,72,83,90,99,109,114,122,130,144,149,159,168,170,317,319,332,338,348,358,363,374,380,391,400,407,419,423,433,442,600,605,610,623,633,642,648,659,665,672,681,691,695,708,716,728,729,743,749,759,771,773,785,796,801,812,822,827,834,844,852,858,871,875,886,895,907,914,920,931,935,949,953,963,976,984,992,993,1010,1016,1027,1036,1037,1050,1057,1064,1072,1085,1092,1103,1108,1114,1127,1134,1145,1148,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,31,36,46,59,63,73,83,89,94,107,117,124,135,141,145,160,170,175,314,326,333,339,347,359,363,377,379,390,400,411,414,422,433,438,468,602,610,624,628,636,650,658,661,675,683,691,699,710,716,725,735,740,749,756,768,774,782,795,800,811,822,827,835,842,853,861,873,874,888,894,904,915,919,933,941,948,957,966,970,979,990,1000,1005,1019,1026,1033,1042,1047,1060,1062,1072,1079,1090,1104,1107,1116,1128,1131,1140,1152,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,27,38,44,55,66,75,78,93,97,110,114,122,128,140,147,161,168,173,313,323,330,335,350,352,368,377,386,391,400,408,415,428,435,441,471,605,610,620,627,636,651,656,668,671,683,693,696,703,718,727,733,744,754,762,768,772,784,795,800,806,818,829,833,847,855,857,872,880,888,892,901,914,921,927,934,944,959,962,971,984,993,999,1005,1017,1023,1035,1043,1045,1058,1065,1074,1082,1094,1101,1106,1113,1128,1133,1139,1153,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,30,34,43,53,63,74,77,86,97,109,115,122,130,137,153,155,166,178,318,323,333,343,348,356,364,370,385,392,398,406,416,421,429,445,600,603,613,619,630,642,649,659,665,669,679,693,699,710,716,722,736,745,746,757,763,774,787,796,801,810,822,827,836,844,851,857,869,879,885,899,907,911,922,928,935,944,954,964,969,981,988,999,1005,1012,1024,1030,1039,1051,1055,1067,1077,1082,1089,1096,1106,1116,1125,1130,1143,1151,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,26,34,45,59,65,74,80,87,95,108,111,121,129,140,147,155,165,176,188,326,333,336,351,360,363,370,382,392,401,408,419,429,435,441,465,605,615,618,627,641,646,660,665,669,679,686,698,708,719,726,736,740,754,759,768,775,788,789,805,812,815,823,835,848,856,860,869,876,890,894,904,910,925,932,939,948,952,966,974,983,988,1001,1009,1013,1019,1032,1041,1050,1055,1062,1074,1087,1088,1104,1111,1114,1129,1136,1143,1150,1158,1172,1178	1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,15,20,30,38,44,52,64,71,77,87,94,104,113,122,135,144,148,157,168,171,314,320,332,340,346,360,365,369,383,389,396,408,419,427,436,440,599,601,615,622,626,638,649,655,666,674,684,692,696,709,720,721,730,742,749,761,764,773,783,791,802,810,817,830,839,840,848,864,869,874,890,898,906,909,922,931,941,947,953,962,970,982,989,999,1004,1014,1024,1030,1039,1050,1054,1066,1078,1085,1089,1102,1105,1119,1124,1134,1141,1155,1157,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,28,42,44,55,61,72,76,90,102,107,116,127,133,140,150,155,167,173,314,325,333,342,347,357,369,377,384,389,396,407,412,424,437,445,596,608,611,622,632,641,647,659,664,676,681,688,697,703,712,726,730,743,749,761,764,776,788,789,800,807,817,824,832,843,850,864,869,877,883,892,904,909,923,933,935,948,959,961,970,979,987,995,1005,1015,1021,1028,1044,1052,1053,1070,1078,1081,1090,1101,1105,1115,1122,1131,1146,1149,1163,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,22,33,40,42,52,65,71,79,87,100,103,118,123,131,137,150,161,169,172,314,324,330,339,344,357,364,372,382,388,395,410,413,420,433,446,600,606,610,625,628,638,651,657,665,672,680,693,697,705,719,721,730,744,754,759,763,775,786,793,805,808,815,823,836,847,853,862,873,879,889,892,903,916,923,931,938,945,954,961,970,976,987,1000,1009,1016,1020,1031,1040,1047,1056,1064,1074,1084,1094,1096,1111,1118,1125,1138,1146,1151,1162,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,32,39,46,57,59,70,79,85,95,108,117,125,132,140,147,156,170,171,317,326,329,343,352,356,368,377,381,394,397,405,417,427,432,441,600,609,611,619,628,639,644,658,662,673,678,687,703,704,718,725,731,744,753,755,765,778,787,789,804,807,816,829,833,840,855,857,866,880,888,894,905,913,920,932,940,947,956,963,971,978,988,994,1002,1018,1024,1031,1042,1049,1054,1062,1076,1083,1093,1101,1109,1121,1126,1137,1139,1149,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,31,34,49,52,68,75,78,87,101,107,112,121,132,141,151,157,163,171,314,319,332,343,345,354,362,377,386,389,401,405,419,427,430,445,447,606,614,626,634,635,646,656,666,676,679,693,699,710,718,722,730,738,750,755,764,776,788,789,800,813,819,827,838,848,849,864,872,881,886,893,903,909,923,929,938,950,959,966,968,977,987,996,1005,1013,1027,1031,1037,1053,1061,1064,1073,1084,1095,1103,1108,1120,1128,1132,1144,1154,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,32,42,49,52,67,72,78,93,99,103,118,123,131,142,152,157,168,178,315,318,330,339,349,352,368,372,381,394,402,411,417,426,434,439,596,603,612,618,629,636,643,653,662,677,679,687,695,710,713,724,729,739,752,755,763,772,780,794,799,810,817,827,839,844,850,862,866,874,884,891,904,916,922,931,936,948,955,965,973,982,989,1001,1008,1017,1026,1031,1039,1050,1055,1066,1077,1083,1091,1098,1113,1115,1129,1131,1144,1150,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,17,18,32,39,50,59,60,73,80,91,101,104,119,124,132,143,152,154,169,174,316,323,335,342,348,354,366,371,380,394,399,403,415,423,429,442,455,609,615,618,629,636,644,654,664,670,679,691,700,704,713,726,731,739,753,761,771,773,787,793,801,805,818,829,839,844,849,860,867,881,889,899,901,912,920,927,941,948,958,962,968,979,989,996,1005,1012,1026,1031,1037,1047,1055,1065,1077,1084,1093,1097,1108,1120,1129,1137,1144,1155,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,27,35,48,53,65,70,84,86,95,110,116,121,130,140,150,159,166,173,317,326,333,342,347,357,366,375,380,391,395,404,419,421,429,439,600,602,616,619,634,636,649,652,661,673,683,693,702,710,713,721,733,741,751,758,769,775,784,788,798,808,822,829,838,847,851,862,872,877,884,895,907,911,924,929,941,947,956,967,975,982,991,996,1004,1018,1022,1034,1039,1051,1059,1064,1076,1080,1093,1098,1112,1115,1128,1138,1144,1150,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,31,42,45,56,62,72,80,91,100,103,114,127,129,139,150,161,170,171,315,326,331,340,347,359,361,376,384,391,396,409,413,421,437,441,596,604,611,622,629,637,647,658,666,671,685,689,702,704,715,721,734,743,747,755,766,779,784,792,798,813,817,823,837,848,855,862,874,877,884,896,902,908,920,927,934,946,951,960,971,982,993,996,1010,1015,1023,1036,1038,1051,1059,1066,1071,1087,1089,1103,1108,1117,1127,1135,1145,1155,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,28,40,49,59,62,75,82,91,101,103,117,124,135,137,153,159,168,171,317,322,333,338,348,353,363,373,380,388,403,405,418,422,432,442,598,607,615,622,627,637,651,653,663,674,680,694,700,707,718,721,736,741,753,761,763,777,785,792,800,807,820,827,835,843,849,860,870,881,883,892,901,910,921,930,938,949,955,963,973,981,988,1001,1006,1014,1023,1034,1039,1053,1056,1067,1073,1079,1095,1103,1110,1117,1124,1133,1141,1147,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,27,40,44,55,61,71,79,91,95,107,117,125,134,140,152,162,164,177,317,321,333,340,350,357,366,373,378,392,396,407,419,425,430,444,448,601,613,623,630,637,644,656,664,673,678,691,702,711,712,725,729,739,749,759,770,774,786,796,800,808,819,831,838,840,855,857,868,878,888,895,908,912,921,927,934,950,959,967,975,982,993,996,1005,1014,1023,1031,1041,1047,1060,1067,1077,1080,1092,1099,1111,1116,1128,1132,1142,1151,1163,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,21,31,34,44,53,63,69,80,90,98,102,116,123,132,139,149,161,164,173,315,321,334,336,345,355,366,372,379,389,401,409,418,427,431,440,457,602,610,624,630,636,650,657,668,676,681,689,698,708,713,728,735,738,748,762,769,779,788,790,801,811,817,829,833,847,853,858,870,876,887,895,900,911,917,933,940,942,957,961,970,981,988,998,1002,1016,1020,1036,1039,1051,1058,1068,1071,1080,1093,1100,1107,1120,1122,1133,1139,1149,1156,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,33,35,43,57,66,76,82,91,100,110,116,120,131,144,146,160,163,173,184,321,331,340,351,354,367,376,380,392,401,407,412,425,436,441,457,608,612,624,629,642,644,655,662,677,678,687,695,707,714,722,734,740,746,756,769,773,781,791,801,806,815,825,835,845,852,864,873,881,887,898,901,908,921,929,941,950,956,963,970,982,987,996,1008,1011,1025,1032,1041,1048,1058,1069,1076,1086,1091,1102,1107,1118,1124,1138,1145,1151,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0
3,11,23,30,38,48,57,65,74,84,87,102,106,112,119,133,136,145,160,163,173,184,325,329,338,347,355,366,372,382,395,399,411,413,422,433,442,465,608,609,622,632,638,650,656,664,671,679,689,702,707,720,721,730,737,754,755,768,776,787,797,804,810,817,823,831,840,851,859,873,882,886,896,902,909,920,928,937,944,951,966,968,982,985,994,1003,1017,1021,1035,1039,1050,1061,1066,1072,1080,1091,1098,1107,1118,1127,1137,1139,1151,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,20,31,40,44,59,64,69,77,91,94,107,116,119,133,143,150,160,163,178,191,326,329,343,344,359,361,377,385,386,400,411,412,422,433,439,447,608,614,619,634,642,643,657,665,677,682,694,696,708,715,721,730,739,746,756,769,776,780,794,804,812,822,824,838,841,852,861,866,882,885,896,904,910,923,927,941,945,952,962,971,979,986,997,1009,1017,1026,1028,1036,1049,1057,1070,1078,1082,1089,1101,1105,1121,1127,1133,1142,1149,1158,1165	1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,18,28,38,50,58,68,70,78,89,97,104,115,122,131,141,145,156,169,171,179,325,334,342,345,360,366,375,381,394,395,409,419,427,430,438,466,602,611,619,633,638,649,652,666,673,685,691,699,707,712,721,731,738,753,757,768,778,788,792,798,807,816,830,835,845,854,859,869,877,885,895,900,913,917,926,940,947,957,967,968,983,990,995,1010,1015,1020,1033,1041,1048,1054,1063,1075,1081,1088,1100,1104,1114,1127,1137,1139,1149,1160,1168,1175	1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
1,13,23,26,38,48,56,65,72,83,89,100,107,117,120,130,141,149,158,170,175,185,326,334,341,351,356,364,376,382,386,399,405,412,425,430,440,599,606,613,619,628,640,645,654,665,671,686,694,698,707,715,728,731,743,750,754,764,775,784,796,805,812,817,827,837,841,848,863,867,880,886,899,902,913,919,927,941,950,956,966,975,978,987,995,1006,1012,1027,1031,1044,1046,1054,1070,1075,1082,1090,1103,1112,1115,1122,1131,1141,1149,1161,1169	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,18,31,39,49,52,63,74,81,90,97,106,112,125,128,141,146,156,167,170,182,326,334,336,352,360,369,373,380,395,400,408,419,420,437,438,466,603,616,619,631,640,645,656,664,673,685,692,700,707,716,727,733,742,753,760,764,774,781,789,805,814,816,824,833,845,850,857,871,882,886,897,906,910,921,931,938,944,953,963,972,982,987,993,1009,1014,1027,1032,1043,1049,1054,1066,1073,1087,1088,1102,1109,1121,1129,1135,1146,1151,1156,1167,1174	1,1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0
1,11,24,31,38,46,59,65,73,78,87,95,106,116,123,131,137,149,156,163,179,187,325,330,342,345,357,369,371,384,386,395,408,418,426,435,442,450,601,615,624,632,642,650,654,660,676,683,689,702,707,713,721,731,741,746,756,768,777,780,792,800,811,821,827,833,844,853,862,868,878,887,894,905,913,920,931,942,946,957,964,975,981,992,996,1009,1016,1021,1029,1039,1045,1054,1066,1070,1084,1092,1098,1105,1115,1128,1137,1143,1147,1160,1169	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
6,12,25,32,41,48,58,65,76,77,92,101,107,112,121,130,145,146,160,164,177,180,323,333,335,350,358,365,375,382,392,400,405,419,428,431,441,600,602,612,621,632,639,651,657,668,673,680,686,696,705,715,721,734,743,747,756,769,778,788,790,797,814,817,827,833,848,850,864,866,877,885,897,900,916,920,931,941,948,956,962,971,981,991,996,1008,1012,1020,1031,1041,1052,1056,1067,1076,1080,1096,1101,1108,1114,1124,1135,1139,1151,1159,1171	0,1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0
3,13,24,33,42,43,51,61,73,77,93,94,103,111,120,128,136,149,159,168,178,314,319,328,336,344,357,366,372,385,393,402,411,418,428,433,444,598,609,611,625,628,643,650,653,664,677,680,690,696,709,717,725,737,744,747,759,763,777,787,795,797,809,819,828,837,845,849,862,871,876,888,899,902,913,925,927,937,948,953,961,972,981,989,999,1005,1018,1026,1033,1044,1051,1054,1069,1072,1085,1092,1102,1105,1115,1121,1138,1141,1153,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,23,31,35,46,59,67,73,81,89,97,108,112,120,132,140,153,154,162,175,186,323,329,340,351,354,366,374,381,394,402,412,414,421,429,441,598,607,610,621,629,639,646,653,662,675,681,688,696,710,712,725,736,741,753,761,769,774,781,796,803,807,814,827,838,842,854,858,871,879,888,895,907,914,923,929,941,945,955,964,972,983,991,1001,1004,1013,1023,1029,1040,1052,1057,1067,1076,1087,1091,1100,1112,1119,1130,1131,1141,1149,1159,1170,1173	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,16,23,28,34,48,56,63,74,80,88,99,105,118,128,131,141,145,159,162,171,183,324,335,342,349,356,362,369,383,391,395,412,413,421,434,444,598,601,613,624,628,643,647,659,667,670,685,688,701,706,716,722,729,744,754,757,769,778,783,795,801,807,816,823,837,848,855,858,871,880,889,897,904,912,918,926,940,943,954,963,976,977,985,996,1002,1012,1023,1035,1040,1050,1055,1066,1073,1079,1089,1103,1108,1121,1127,1134,1139,1155,1159,1172	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,22,26,35,44,54,61,69,85,90,94,107,116,126,130,139,150,160,165,173,201,323,330,342,348,358,361,372,378,387,402,410,415,428,430,438,598,604,612,620,633,639,652,658,661,674,682,686,696,704,716,725,730,739,750,762,763,773,785,795,805,809,819,823,835,843,852,864,866,882,884,893,902,915,917,926,941,944,958,964,973,981,987,994,1008,1016,1025,1028,1044,1053,1061,1066,1074,1087,1091,1100,1106,1114,1127,1134,1142,1153,1156,1168,1176	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,12,22,28,35,50,53,60,75,82,89,95,108,117,124,135,136,145,161,170,176,193,322,335,337,344,358,367,377,378,390,402,408,415,425,434,439,599,608,609,622,627,635,650,656,668,669,678,694,696,709,713,725,737,739,747,759,767,775,785,796,804,808,816,825,833,842,854,857,871,881,890,896,902,915,919,927,938,950,955,965,969,983,992,996,1009,1017,1027,1032,1044,1046,1060,1070,1071,1080,1091,1103,1106,1116,1126,1132,1142,1152,1161,1166,1173	1,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,21,33,39,48,52,64,69,81,91,95,104,118,122,132,138,148,155,163,173,179,319,329,341,348,359,362,374,378,392,397,406,415,425,430,442,599,606,611,624,629,636,650,659,667,672,683,689,701,711,713,726,730,742,747,757,769,772,782,788,805,810,821,827,832,846,849,863,869,874,883,899,904,910,921,933,941,950,959,962,968,979,987,996,1009,1017,1020,1027,1036,1049,1059,1069,1075,1080,1088,1099,1105,1113,1125,1132,1147,1152,1163,1168	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
7,10,18,33,41,48,59,66,68,83,89,99,103,118,123,133,137,148,155,166,176,181,318,328,341,344,355,369,370,386,395,397,407,412,426,434,445,449,606,615,623,632,642,651,652,663,670,683,692,702,704,713,721,729,742,752,763,767,776,787,793,804,812,818,825,832,846,851,861,867,880,890,893,903,916,924,933,937,948,953,961,974,984,985,999,1010,1017,1027,1031,1038,1049,1053,1064,1075,1080,1089,1097,1107,1115,1123,1131,1143,1150,1157,1170,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,23,27,38,48,59,67,69,77,91,101,109,117,120,136,139,149,159,167,176,316,322,327,336,346,356,367,369,381,393,395,408,418,421,434,439,459,603,617,621,632,639,644,659,667,675,684,693,700,705,713,722,731,744,751,756,763,774,783,794,797,809,816,825,837,844,852,858,868,875,883,898,908,909,920,931,937,949,958,964,975,978,987,999,1008,1015,1022,1032,1042,1047,1056,1062,1078,1080,1091,1104,1106,1115,1129,1136,1145,1151,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,25,27,39,43,52,63,68,78,85,98,108,117,121,132,137,146,155,165,175,316,322,332,342,351,353,361,373,384,390,402,409,414,423,430,437,462,605,616,625,634,636,651,659,667,677,683,687,701,706,719,721,731,740,752,758,768,774,786,790,802,810,822,823,832,847,848,859,869,875,891,892,907,911,917,925,937,943,959,961,976,980,986,999,1007,1016,1022,1035,1037,1051,1059,1065,1074,1085,1093,1098,1111,1117,1130,1138,1141,1151,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,31,35,43,52,63,72,80,92,100,109,115,126,131,137,147,161,168,171,316,318,329,340,350,360,363,369,383,387,396,409,413,424,430,440,597,606,613,625,631,642,648,659,666,676,685,686,697,709,719,720,736,740,751,763,767,773,784,789,805,806,822,826,833,845,849,865,870,875,887,899,907,912,918,928,939,947,953,962,972,984,987,995,1006,1019,1026,1031,1039,1051,1060,1066,1075,1083,1090,1100,1107,1119,1122,1136,1143,1149,1156,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,31,36,43,52,60,69,81,92,101,103,119,121,129,142,150,159,170,177,316,320,333,337,344,352,365,375,381,390,395,408,416,421,435,439,459,607,615,624,631,636,651,656,664,676,683,693,698,711,714,725,729,745,747,757,767,780,781,789,804,806,822,830,834,845,850,862,868,877,889,895,907,910,922,932,939,946,958,964,972,982,993,1001,1010,1014,1026,1028,1039,1048,1055,1065,1078,1080,1088,1102,1109,1120,1128,1131,1144,1148,1164,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,27,34,48,52,66,70,80,88,96,103,117,122,135,141,145,160,170,178,313,323,330,341,346,353,364,370,378,387,399,403,415,425,435,444,597,603,613,625,630,641,650,658,662,670,681,688,701,711,720,725,731,744,750,761,768,772,788,792,804,808,818,825,838,844,855,861,867,880,890,892,902,916,923,928,939,950,953,962,968,981,988,998,1003,1014,1024,1028,1042,1050,1061,1066,1074,1081,1094,1101,1111,1115,1123,1133,1146,1149,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,19,31,40,42,51,63,74,80,93,94,104,113,119,133,139,147,154,166,172,316,326,329,337,351,360,363,371,382,394,399,405,419,428,437,441,458,607,617,620,630,642,645,657,662,674,685,690,695,704,716,722,730,743,752,756,769,779,786,796,800,810,817,830,835,848,854,863,872,879,885,899,901,910,917,927,941,949,956,965,970,980,992,1001,1005,1013,1026,1028,1038,1053,1054,1064,1071,1084,1089,1103,1111,1119,1125,1138,1139,1148,1162,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,32,37,44,51,66,68,79,90,97,106,115,120,132,139,153,156,165,174,317,320,331,339,346,353,367,370,381,394,395,407,412,426,434,444,596,603,615,620,630,643,650,656,662,672,684,689,700,704,717,723,733,740,750,762,764,773,788,796,797,813,815,829,834,844,852,865,870,880,882,899,903,913,922,927,936,944,955,964,973,977,985,996,1008,1010,1022,1033,1041,1049,1059,1062,1077,1084,1088,1098,1110,1113,1124,1134,1141,1155,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,19,33,42,45,56,62,75,83,87,101,107,113,125,128,139,148,161,167,178,314,322,332,341,348,356,364,370,385,388,397,409,416,428,432,441,597,607,611,625,630,638,649,658,667,677,683,693,701,706,713,721,737,744,752,760,770,772,787,795,798,811,820,824,839,845,856,858,874,879,884,891,907,914,917,933,934,948,955,965,976,984,987,994,1004,1016,1023,1031,1043,1045,1055,1067,1076,1083,1090,1101,1108,1115,1124,1130,1146,1148,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,22,32,36,47,51,66,71,81,92,100,107,118,125,129,136,146,158,167,171,182,323,334,339,348,357,363,377,380,386,403,410,415,427,434,440,599,607,614,622,629,635,645,660,667,675,678,689,700,710,713,724,732,739,751,757,766,777,788,795,801,810,820,828,836,847,852,865,866,880,884,894,900,910,919,928,938,945,957,966,969,984,992,1001,1005,1016,1021,1029,1036,1049,1053,1067,1076,1082,1090,1100,1105,1117,1127,1136,1143,1149,1162,1173	1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,22,27,41,46,59,66,71,77,92,96,108,117,122,129,139,151,155,163,174,314,323,330,337,345,353,365,377,379,388,398,406,414,423,429,442,600,603,609,621,630,637,648,658,660,671,684,686,701,710,713,720,736,743,748,760,765,774,786,790,800,806,820,825,839,843,854,859,866,878,883,898,902,909,919,929,939,949,952,963,976,977,988,1000,1005,1018,1022,1033,1037,1047,1058,1068,1073,1080,1087,1098,1109,1115,1126,1135,1147,1150,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,33,42,47,55,62,70,77,89,99,102,115,127,132,136,145,160,164,175,315,321,333,337,344,356,364,374,381,388,399,405,417,421,435,444,597,605,617,622,626,639,646,655,666,670,686,688,702,710,717,728,731,745,746,760,763,778,782,797,802,809,817,823,834,844,853,859,870,878,884,895,900,913,924,925,935,945,954,963,976,981,987,995,1004,1015,1027,1028,1043,1045,1058,1067,1074,1086,1087,1100,1111,1116,1127,1135,1147,1155,1159,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,32,34,51,58,61,75,81,86,97,103,116,127,128,138,145,160,164,175,317,323,329,342,347,355,367,373,381,389,400,406,418,420,435,439,468,603,613,626,628,638,649,653,662,676,680,691,695,704,719,727,730,745,746,759,764,780,784,794,800,811,821,826,831,840,849,857,872,874,885,898,903,911,923,928,936,942,953,959,969,981,991,1001,1009,1011,1026,1032,1044,1050,1059,1068,1073,1080,1092,1104,1112,1116,1127,1132,1143,1154,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,24,29,42,50,51,62,69,79,89,96,109,114,121,136,142,148,157,165,178,318,321,329,336,346,355,363,374,384,388,398,407,418,427,432,442,598,605,611,624,629,636,648,655,660,669,679,692,703,707,713,727,729,738,750,757,769,774,786,792,803,810,820,824,837,845,853,861,868,882,890,898,905,913,924,931,940,949,952,963,972,983,992,996,1009,1015,1024,1028,1043,1048,1053,1064,1073,1087,1092,1102,1112,1114,1125,1136,1143,1154,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,32,42,43,57,65,73,79,92,99,107,117,121,135,140,152,157,164,173,189,319,327,343,349,357,365,373,381,388,403,406,413,428,432,447,600,608,614,621,634,640,645,659,664,672,678,689,702,710,718,728,732,743,751,758,764,777,784,796,804,813,817,831,832,847,856,858,873,881,885,892,900,913,917,926,942,948,955,967,972,983,987,1001,1003,1018,1027,1029,1044,1047,1054,1062,1079,1084,1088,1096,1106,1116,1123,1133,1141,1154,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,31,35,47,54,61,75,81,85,100,104,119,121,129,142,148,161,164,171,314,321,332,340,352,353,361,373,385,392,401,410,417,425,433,446,447,606,614,621,633,636,650,660,664,673,678,687,696,709,715,722,737,741,750,757,767,773,786,792,800,810,815,829,836,844,854,861,873,879,884,896,906,915,921,929,934,950,951,961,969,978,985,1000,1003,1013,1025,1028,1043,1050,1054,1069,1070,1079,1094,1104,1112,1117,1125,1133,1146,1148,1156,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,27,41,47,52,64,76,84,88,98,109,115,123,128,144,152,157,165,178,317,319,333,341,349,356,363,376,385,390,403,407,417,422,435,442,456,603,615,623,631,636,649,654,665,674,678,694,701,705,720,728,730,737,751,756,765,777,788,789,801,812,821,824,833,841,856,864,874,875,888,895,906,913,918,930,939,945,956,965,973,984,990,998,1002,1013,1027,1030,1043,1047,1060,1069,1075,1085,1090,1103,1107,1116,1126,1137,1141,1153,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,34,40,46,54,66,76,80,92,100,110,111,126,131,139,146,155,163,178,317,319,332,340,349,356,368,374,381,394,396,405,420,426,430,442,453,603,613,623,634,642,648,657,661,676,684,686,702,705,713,724,737,743,750,757,768,776,786,791,798,812,820,825,832,841,856,861,868,874,885,893,903,913,920,933,936,943,958,962,976,981,987,996,1007,1013,1024,1029,1041,1048,1053,1064,1073,1085,1093,1099,1112,1120,1126,1136,1146,1154,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,26,34,45,56,59,69,79,93,97,109,111,122,128,141,148,161,170,172,317,318,335,340,351,357,364,371,385,388,395,406,418,422,432,439,600,608,616,620,627,640,651,655,662,672,683,688,702,706,719,724,731,740,747,758,769,775,782,797,804,814,818,824,836,846,856,858,872,880,884,895,903,910,920,929,937,944,955,961,975,982,989,999,1005,1016,1024,1036,1037,1053,1056,1066,1074,1084,1088,1098,1112,1113,1128,1134,1147,1149,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,26,35,46,52,62,68,77,88,99,105,118,122,129,142,149,159,164,172,314,324,327,340,344,360,364,373,382,386,397,404,417,421,433,445,466,606,612,625,630,637,646,657,667,674,679,689,699,709,720,721,735,740,749,758,769,779,782,789,801,807,817,825,831,847,856,858,873,878,884,898,904,912,921,926,935,950,958,963,973,983,987,997,1002,1018,1027,1033,1041,1048,1054,1065,1079,1081,1087,1096,1108,1114,1125,1133,1146,1152,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,25,42,48,56,62,76,77,85,101,109,118,124,130,136,151,157,162,174,315,319,330,339,345,358,369,371,378,392,401,409,414,423,434,438,466,605,612,622,628,639,651,655,661,676,681,690,696,705,712,722,736,737,747,760,768,773,787,792,804,809,815,823,837,843,851,863,872,880,883,893,905,909,917,931,941,945,958,963,973,978,990,1000,1004,1017,1021,1035,1044,1049,1058,1064,1072,1081,1092,1101,1105,1115,1122,1132,1144,1147,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,25,41,46,54,66,71,83,88,94,103,118,127,129,144,152,160,169,171,313,326,334,339,349,353,367,373,384,390,402,405,413,422,433,438,600,601,611,623,629,639,650,652,663,674,681,693,700,709,715,723,731,738,754,763,771,779,783,792,799,812,816,825,838,842,854,859,872,882,890,892,901,909,918,931,936,944,959,960,970,983,989,998,1009,1014,1020,1035,1043,1051,1055,1070,1073,1082,1094,1099,1105,1120,1125,1131,1142,1148,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,33,37,50,56,65,68,81,86,98,106,111,125,134,144,148,158,164,178,317,321,327,337,349,359,369,373,379,389,395,407,412,423,436,442,465,605,612,623,634,636,645,652,667,670,681,691,703,709,717,725,735,742,750,757,763,776,787,792,805,809,822,827,834,846,851,864,868,878,887,895,906,914,918,929,938,946,959,966,972,977,992,997,1006,1015,1021,1036,1038,1046,1056,1068,1073,1081,1096,1098,1107,1119,1125,1137,1141,1147,1163,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,29,35,43,58,67,71,79,85,96,104,113,120,133,142,149,159,166,178,315,321,329,338,347,354,362,374,384,392,399,408,418,423,435,438,600,607,613,624,631,641,646,660,662,670,685,687,701,708,720,725,729,739,750,762,769,773,784,795,801,808,819,827,835,840,855,863,867,878,884,897,902,913,918,926,941,942,956,960,972,977,988,997,1007,1010,1023,1031,1036,1045,1059,1067,1078,1086,1094,1096,1112,1118,1125,1138,1140,1151,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,28,36,43,59,67,74,82,92,98,108,111,127,128,143,148,157,167,176,313,325,332,341,348,352,361,372,384,389,403,405,415,422,432,438,469,602,616,624,629,642,650,659,665,676,683,692,702,707,719,728,729,743,752,761,769,776,786,796,799,807,821,824,835,846,853,862,868,881,885,897,901,913,918,930,935,942,955,965,971,978,985,994,1009,1017,1019,1034,1044,1048,1054,1065,1077,1080,1093,1096,1107,1114,1124,1136,1143,1148,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,30,41,45,58,61,75,78,87,99,108,111,126,132,137,152,159,166,170,317,319,331,343,345,355,362,375,379,392,398,405,420,427,432,444,465,602,610,620,632,636,651,653,666,672,680,686,702,705,718,723,732,745,750,757,767,772,787,790,798,811,819,830,836,847,850,859,869,877,883,899,901,914,921,931,941,948,954,968,973,979,992,998,1010,1018,1021,1032,1042,1052,1059,1068,1072,1079,1095,1101,1104,1117,1128,1130,1142,1148,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,28,36,48,59,66,69,83,90,99,107,118,121,132,138,150,155,168,179,318,325,333,342,349,354,363,375,385,387,402,405,419,424,432,446,457,606,609,621,632,643,647,659,665,675,679,686,695,704,713,728,735,741,749,754,764,773,786,788,799,809,821,827,839,842,851,857,873,875,885,893,904,910,917,931,936,945,951,962,975,979,987,997,1005,1016,1023,1031,1039,1051,1053,1063,1073,1084,1094,1103,1105,1114,1126,1131,1146,1152,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,31,34,42,58,68,69,82,88,98,104,118,126,130,141,146,158,163,172,187,324,334,336,352,357,369,370,385,391,398,406,417,421,437,445,597,606,612,623,628,642,651,656,666,676,684,694,703,708,715,722,732,741,753,759,767,773,780,795,798,809,820,826,837,848,856,857,865,881,886,898,905,916,925,930,940,943,954,964,975,981,990,994,1004,1014,1023,1036,1042,1051,1060,1062,1073,1083,1090,1097,1106,1121,1127,1136,1141,1153,1160,1167,1175	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,19,33,39,43,57,64,76,79,93,100,105,112,121,134,138,152,159,169,171,184,325,329,337,345,355,367,377,379,386,397,407,416,421,437,443,460,604,615,624,628,638,651,654,662,676,679,694,696,711,712,723,732,745,752,757,769,778,787,790,800,814,821,829,839,841,851,864,870,879,884,891,901,912,921,926,935,948,956,964,971,980,991,998,1008,1012,1022,1030,1044,1052,1055,1065,1070,1081,1087,1098,1109,1115,1129,1136,1143,1149,1162,1165,1176	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,10,24,33,39,50,55,64,71,83,90,101,106,111,120,132,139,150,157,163,172,184,325,333,339,350,356,363,374,379,392,399,408,416,427,432,438,448,601,614,621,632,639,649,654,668,671,678,689,697,706,718,728,733,745,746,760,766,779,787,791,800,808,815,826,833,840,852,862,867,881,890,894,904,912,918,929,939,949,954,962,970,983,988,1001,1002,1016,1027,1031,1039,1047,1059,1066,1072,1087,1094,1097,1111,1115,1123,1137,1144,1155,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,17,30,40,47,51,63,69,81,88,98,109,119,123,129,137,145,155,168,174,196,319,332,341,350,357,368,371,384,386,396,405,414,424,437,444,598,608,614,625,634,642,649,653,660,675,684,694,695,708,716,722,735,740,749,763,766,777,785,788,802,807,816,826,837,845,853,864,867,881,883,894,901,908,924,925,939,950,954,966,971,982,985,1001,1008,1014,1024,1035,1042,1046,1054,1069,1075,1081,1091,1102,1107,1114,1130,1136,1142,1152,1163,1166	1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0
2,13,20,31,37,43,53,63,68,77,92,96,107,112,126,133,137,147,159,167,177,195,319,328,337,344,352,367,377,379,392,398,412,414,421,431,440,450,609,615,620,630,641,647,652,661,671,683,691,696,705,717,721,733,738,746,760,768,776,786,793,805,806,819,829,838,843,856,858,872,877,888,892,906,913,921,933,936,944,952,960,972,981,990,1001,1009,1016,1022,1034,1042,1051,1056,1063,1073,1085,1096,1101,1110,1119,1125,1138,1141,1147,1161,1171,1174	0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,12,21,28,35,51,54,60,69,83,88,99,109,116,127,136,140,145,160,164,177,190,319,327,336,351,354,366,374,384,390,396,406,416,428,437,445,598,605,615,623,634,635,651,655,665,671,684,687,695,704,714,725,736,743,746,757,770,776,780,796,797,809,815,823,833,846,855,864,867,879,883,893,903,911,918,928,934,942,954,961,968,981,985,1001,1004,1011,1022,1032,1040,1048,1061,1067,1073,1080,1089,1101,1112,1114,1125,1131,1141,1151,1159,1168,1173	1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,18,28,34,46,55,63,70,84,85,95,106,115,121,131,144,146,159,167,173,179,323,328,338,344,356,363,377,383,391,398,406,419,429,432,445,599,608,617,624,628,640,651,659,664,671,679,691,698,709,715,725,736,742,753,757,764,777,785,794,798,810,815,829,838,846,849,859,868,880,886,894,902,914,924,926,938,949,958,968,969,980,992,999,1004,1017,1027,1034,1040,1046,1054,1068,1074,1079,1090,1098,1107,1120,1125,1130,1143,1149,1163,1172	1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,16,18,33,38,47,57,62,76,77,91,98,106,114,126,135,139,150,156,169,177,195,324,331,339,345,359,363,375,378,391,401,410,418,427,431,440,599,607,611,620,632,642,649,659,665,672,680,689,697,707,719,725,735,745,746,761,765,779,782,795,799,809,822,829,838,840,855,863,870,880,884,895,905,915,920,927,941,942,957,964,974,978,986,999,1010,1019,1021,1028,1044,1050,1060,1063,1077,1086,1089,1100,1106,1114,1129,1133,1146,1152,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
1,10,17,25,40,43,52,67,73,81,88,97,103,115,121,134,142,148,161,165,175,315,321,327,335,347,352,363,375,381,395,402,404,419,427,434,442,469,607,616,625,632,643,650,653,666,671,678,694,695,703,712,728,735,739,752,755,765,773,786,794,798,814,822,827,837,840,850,863,871,875,887,899,907,912,920,925,934,948,957,967,972,983,986,999,1003,1015,1024,1036,1038,1049,1053,1065,1076,1084,1090,1100,1106,1118,1125,1135,1141,1154,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,30,41,51,59,63,69,78,86,99,110,115,122,135,144,151,155,169,172,185,325,333,335,350,357,361,371,379,388,401,407,420,423,434,445,451,606,616,623,633,635,650,653,665,670,683,690,696,708,714,727,733,745,753,756,767,772,783,791,801,806,821,829,839,847,851,860,871,879,884,895,900,910,917,929,934,946,954,960,974,982,991,1001,1002,1018,1024,1031,1038,1049,1055,1070,1071,1086,1094,1101,1106,1117,1127,1133,1139,1153,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,9,24,30,38,47,53,61,72,80,85,99,103,114,122,133,139,149,157,168,176,179,326,330,337,349,354,368,377,384,393,398,411,419,428,434,440,465,606,610,623,634,638,649,658,661,671,683,692,695,706,719,721,736,744,747,757,767,779,787,793,802,810,821,825,833,847,851,865,870,875,887,892,900,909,922,928,936,945,951,963,968,980,990,998,1003,1016,1019,1029,1039,1052,1054,1063,1073,1084,1089,1097,1112,1116,1123,1137,1145,1154,1162,1168,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
5,9,17,26,34,44,57,67,75,78,92,99,110,112,119,135,141,145,153,162,177,181,322,328,340,352,355,369,377,378,388,395,410,420,427,431,440,469,608,610,624,631,635,649,652,660,670,681,690,699,706,712,720,731,739,746,758,770,773,783,794,804,807,815,831,835,848,851,861,873,876,887,899,900,915,924,933,942,944,954,966,970,984,990,998,1009,1015,1019,1033,1042,1050,1057,1062,1078,1080,1091,1097,1106,1114,1128,1132,1139,1153,1156,1166,1173	0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,14,22,27,42,43,58,65,74,83,90,98,106,117,122,133,141,148,160,163,174,187,320,333,339,350,360,363,375,386,393,399,412,416,423,436,442,597,608,610,622,630,641,651,657,666,675,683,694,695,711,712,726,734,745,752,756,764,773,783,795,801,813,822,826,831,843,856,859,868,880,884,891,899,911,921,929,937,943,959,961,975,976,991,996,1008,1011,1022,1027,1036,1051,1058,1065,1071,1080,1092,1097,1106,1113,1128,1136,1142,1149,1163,1170,1177	1,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
4,9,21,31,41,51,57,66,72,84,90,94,108,114,122,134,141,151,154,168,176,189,321,331,339,344,354,362,369,386,388,399,404,417,425,431,442,597,606,615,623,628,641,645,656,661,673,680,689,698,705,716,723,733,743,754,762,767,774,783,796,803,810,821,828,839,840,850,859,868,875,890,891,903,911,922,926,936,943,956,964,970,978,991,1000,1003,1013,1021,1032,1039,1046,1061,1069,1078,1084,1093,1102,1112,1117,1129,1133,1146,1150,1158,1168	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,23,33,36,49,52,65,75,82,87,101,102,116,121,136,144,148,156,165,172,179,325,333,336,351,358,367,369,378,394,402,410,419,423,434,443,449,601,610,626,630,636,645,659,666,671,680,690,701,704,719,720,729,742,747,761,771,779,782,791,804,807,821,825,832,843,854,857,872,881,889,893,905,915,919,931,940,942,952,960,970,981,987,1001,1002,1013,1022,1036,1042,1047,1056,1064,1077,1080,1092,1098,1113,1120,1126,1132,1145,1149,1159,1169	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,20,32,34,43,53,62,69,77,93,94,109,118,124,130,141,148,161,166,178,317,325,330,342,349,357,363,375,379,392,395,404,416,425,430,443,599,602,614,618,631,638,649,659,664,670,685,689,696,711,720,728,733,745,751,757,768,772,788,793,800,808,815,830,839,841,852,865,873,882,887,897,905,910,920,927,941,945,955,967,976,981,993,997,1004,1012,1021,1028,1037,1045,1054,1062,1077,1082,1093,1104,1109,1118,1125,1138,1139,1153,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,18,34,35,49,57,65,69,81,86,95,109,115,122,130,142,152,161,169,173,317,324,329,341,352,355,362,370,378,391,400,407,415,424,435,446,600,607,614,620,634,637,649,657,663,670,681,691,696,707,716,721,732,743,752,757,771,775,781,792,805,814,822,824,834,842,854,862,867,875,884,899,903,911,920,933,939,943,954,960,968,977,988,996,1008,1012,1026,1032,1039,1050,1061,1065,1075,1084,1092,1104,1109,1113,1127,1131,1142,1150,1158,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,32,38,45,53,64,74,81,91,100,106,115,122,128,141,149,154,163,175,313,326,329,342,347,360,367,376,386,387,402,410,412,423,437,439,596,609,615,621,629,638,650,659,663,677,685,687,697,709,713,726,729,740,747,761,770,774,785,793,804,811,817,826,831,842,853,864,869,876,886,898,906,913,920,929,936,945,953,965,975,981,985,993,1007,1017,1019,1030,1037,1050,1059,1069,1077,1081,1088,1104,1112,1116,1128,1134,1144,1154,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,27,37,48,53,65,73,80,89,101,108,118,121,129,142,153,158,170,178,314,323,328,340,345,353,361,374,381,390,399,408,415,424,431,442,596,603,613,621,631,643,644,655,668,677,679,689,700,711,715,723,729,745,754,762,767,778,785,791,804,807,818,826,833,842,850,859,874,880,891,892,904,916,919,931,940,946,952,960,972,980,988,1001,1004,1012,1022,1033,1040,1051,1059,1068,1076,1080,1090,1096,1107,1116,1126,1135,1144,1151,1157,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,27,41,51,52,64,68,78,85,96,110,117,127,133,143,150,157,169,174,315,322,328,336,344,356,368,369,384,387,401,409,414,424,429,440,460,609,616,620,632,637,650,657,660,674,681,687,696,709,717,725,737,742,752,763,766,775,782,793,799,808,816,824,833,842,853,865,871,881,889,899,903,909,917,930,936,942,959,967,973,984,986,998,1005,1011,1019,1032,1044,1045,1056,1067,1071,1085,1094,1100,1106,1114,1129,1137,1146,1149,1157,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,30,38,50,57,62,76,81,87,95,108,119,122,128,140,150,155,169,178,314,324,328,336,347,360,367,376,382,392,401,411,418,428,430,445,447,609,617,622,634,641,647,652,665,674,685,689,696,709,713,724,736,740,748,757,765,773,786,796,800,810,820,830,838,847,849,862,868,874,888,896,905,916,920,929,941,947,954,961,971,982,987,1001,1007,1018,1019,1033,1037,1050,1055,1068,1078,1087,1093,1101,1107,1116,1128,1137,1145,1155,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,23,29,35,43,51,62,72,84,89,99,110,119,122,130,138,149,155,165,172,313,324,328,340,348,357,369,374,380,386,395,408,417,421,429,446,599,605,612,624,630,642,643,657,669,673,684,689,696,710,713,723,731,739,753,758,767,774,787,788,798,812,819,827,839,842,855,858,873,881,887,898,902,910,923,925,940,945,957,967,974,983,990,994,1009,1012,1019,1031,1042,1045,1061,1070,1078,1087,1090,1098,1112,1113,1122,1138,1146,1152,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,30,41,46,57,66,71,82,93,100,107,113,121,133,138,153,154,166,178,317,318,328,340,345,356,361,376,381,394,395,405,418,425,436,441,449,602,610,622,628,639,648,653,667,674,679,687,699,706,715,723,730,741,748,760,769,773,784,790,805,813,818,824,838,846,849,859,869,875,891,898,900,915,917,930,942,950,955,965,976,984,985,998,1006,1018,1019,1028,1041,1048,1058,1066,1071,1087,1090,1098,1108,1121,1123,1133,1147,1151,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,26,40,45,52,62,73,82,89,102,108,116,126,134,144,146,159,165,174,188,318,335,342,344,354,367,371,386,389,397,410,414,422,437,443,598,605,616,620,634,641,644,656,664,671,684,686,700,710,712,725,729,738,750,757,765,777,785,789,801,812,819,829,838,845,856,863,868,874,885,898,902,911,918,928,937,946,954,961,973,978,991,996,1007,1018,1022,1028,1043,1047,1059,1066,1078,1081,1093,1097,1109,1119,1123,1133,1147,1153,1159,1168,1175	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,19,25,34,44,59,61,68,80,86,99,105,117,127,129,142,146,155,165,176,317,319,335,343,348,360,368,376,385,393,403,404,417,425,436,445,455,602,613,625,633,635,649,652,661,670,684,693,697,706,717,723,733,744,746,762,767,774,784,796,801,812,815,827,833,842,856,857,873,877,890,895,904,908,921,926,938,946,958,966,972,978,988,996,1005,1014,1022,1030,1042,1046,1054,1063,1077,1081,1092,1096,1105,1116,1129,1135,1144,1148,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,31,36,44,59,66,70,82,87,94,103,113,122,131,142,151,153,165,172,315,320,331,335,345,353,361,371,386,392,398,408,417,425,430,439,458,602,610,622,626,642,648,658,664,674,684,687,701,710,713,724,729,745,749,758,770,774,783,789,805,806,819,830,838,846,851,862,870,876,891,897,900,911,924,932,937,943,952,963,968,984,985,1001,1010,1017,1019,1030,1043,1052,1053,1067,1076,1087,1094,1100,1108,1116,1125,1132,1142,1155,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,28,37,46,57,62,76,79,93,94,108,114,123,135,144,146,158,162,174,316,319,329,336,344,355,362,370,383,394,398,403,415,421,430,444,450,606,615,623,634,640,650,659,667,675,683,690,696,705,719,722,736,737,748,762,767,773,780,792,802,806,819,828,836,843,856,859,871,878,890,894,904,908,924,930,934,949,958,966,971,982,990,1001,1010,1014,1023,1033,1036,1045,1061,1064,1078,1080,1094,1096,1108,1120,1127,1137,1139,1153,1158,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,20,31,37,46,51,61,73,82,87,94,104,118,120,133,145,148,157,169,176,314,318,332,343,352,353,367,373,381,387,402,408,413,426,437,439,466,604,613,619,632,641,644,658,668,670,678,693,702,710,714,726,729,739,752,761,766,776,783,796,804,813,816,829,836,844,850,862,869,881,885,896,903,910,923,927,934,948,954,962,976,979,986,998,1006,1012,1027,1036,1040,1052,1061,1068,1072,1079,1089,1096,1111,1119,1129,1134,1139,1154,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,31,40,44,57,64,70,80,91,101,105,112,127,128,142,150,160,164,176,184,324,330,343,350,357,362,373,383,390,400,410,417,421,433,441,469,602,613,621,632,636,645,659,661,671,682,694,696,703,715,720,735,746,753,762,767,777,785,790,803,812,822,824,838,842,850,862,870,874,889,895,907,913,925,933,939,949,958,961,968,979,985,996,1009,1014,1027,1029,1039,1051,1059,1069,1078,1081,1090,1102,1111,1117,1124,1133,1141,1152,1164,1168	0,0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,23,29,40,47,54,63,71,77,92,95,106,119,123,132,139,147,158,164,173,314,325,332,342,348,353,368,377,383,387,403,410,416,427,434,446,599,607,613,619,634,642,649,659,666,670,683,690,702,705,717,727,732,743,753,761,766,772,781,795,797,811,822,827,833,843,856,860,872,874,883,898,903,913,919,929,938,950,954,965,974,981,987,998,1008,1012,1021,1032,1037,1046,1061,1068,1075,1084,1089,1104,1105,1113,1129,1135,1138,1151,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,26,35,49,56,59,75,83,86,97,103,112,120,131,142,146,156,165,175,314,320,329,342,347,360,368,370,382,389,398,411,414,426,433,441,599,601,613,625,632,640,647,659,666,673,681,690,699,703,717,721,731,740,751,759,766,779,788,789,802,807,820,830,836,841,851,861,868,875,885,891,900,913,917,929,935,948,952,962,968,981,990,998,1007,1016,1026,1029,1041,1047,1055,1066,1071,1079,1092,1104,1105,1119,1127,1131,1141,1149,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,29,38,47,55,64,72,82,90,97,105,116,123,131,141,152,158,165,177,313,326,335,339,351,358,365,376,379,392,402,408,420,424,429,443,598,601,610,621,633,642,644,654,666,670,682,687,701,706,712,723,734,741,754,761,771,773,780,789,804,811,821,824,832,848,852,864,870,874,884,898,906,915,924,925,937,946,958,967,968,984,987,995,1006,1017,1025,1032,1038,1047,1054,1062,1072,1084,1088,1103,1106,1120,1123,1136,1141,1153,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,32,42,48,53,59,76,81,90,100,106,117,123,131,139,148,158,165,173,316,319,334,339,348,360,361,373,378,391,395,407,420,421,433,437,451,608,616,620,629,643,650,655,661,675,680,688,696,709,719,727,736,742,752,759,770,772,787,796,799,809,821,825,839,845,851,863,869,874,883,895,907,909,923,933,940,943,956,960,974,981,991,998,1009,1018,1025,1035,1041,1047,1053,1065,1078,1082,1094,1099,1113,1119,1123,1137,1141,1148,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,30,40,50,54,64,76,84,86,95,108,116,120,129,141,152,159,162,177,315,324,331,340,347,352,368,374,381,386,396,412,414,428,436,437,447,604,616,618,629,639,651,657,661,676,679,692,695,710,712,722,737,743,750,759,764,773,781,792,799,808,819,826,833,840,855,865,873,880,888,895,908,915,921,926,934,948,958,960,971,978,992,998,1007,1013,1020,1032,1044,1048,1059,1069,1075,1079,1091,1103,1105,1116,1126,1136,1142,1154,1163,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,31,36,42,54,63,76,78,88,93,110,114,122,136,139,148,161,169,176,314,319,330,340,348,354,369,377,385,394,398,406,420,425,429,445,598,602,610,619,632,642,647,654,663,670,684,689,703,708,715,724,735,738,753,754,767,778,781,790,800,809,814,826,831,843,854,861,869,878,883,894,905,912,920,926,934,947,956,966,975,982,988,996,1008,1013,1021,1028,1038,1048,1059,1067,1071,1079,1093,1104,1105,1117,1124,1133,1139,1149,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,30,34,50,59,68,75,78,88,94,105,116,121,136,142,146,158,170,172,317,320,330,342,347,358,367,374,384,387,401,403,412,425,436,438,598,605,616,624,630,637,646,657,668,673,681,689,698,708,714,721,731,743,753,754,768,776,783,795,803,812,819,823,835,843,854,862,866,882,887,892,904,908,923,927,942,948,958,963,975,979,991,996,1005,1015,1021,1029,1040,1048,1054,1064,1076,1087,1094,1102,1106,1121,1125,1136,1145,1150,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,34,37,49,58,64,69,80,91,100,104,117,121,131,140,152,157,167,176,313,318,330,342,346,353,364,372,379,388,403,407,415,423,437,442,599,603,616,621,628,638,644,658,661,674,679,689,701,707,712,727,732,741,750,757,768,772,780,793,800,807,821,824,832,848,852,861,866,875,886,893,906,915,918,925,937,944,959,965,976,980,991,994,1007,1015,1024,1035,1036,1052,1056,1069,1078,1083,1092,1097,1104,1117,1123,1132,1143,1148,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,25,40,47,54,60,70,77,86,100,109,116,125,135,137,148,154,165,176,314,319,327,338,347,353,362,371,378,388,402,408,412,428,431,443,458,604,610,625,630,638,648,660,668,677,681,687,695,706,716,723,730,740,748,762,763,778,782,789,797,811,815,826,839,848,853,861,874,879,887,892,908,914,925,927,937,948,951,967,974,981,989,1001,1008,1016,1019,1035,1043,1050,1059,1070,1075,1084,1088,1101,1107,1118,1128,1135,1142,1153,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,27,41,50,52,61,74,81,86,101,106,116,121,131,139,151,154,166,175,317,320,334,341,351,358,368,375,384,395,402,411,413,422,431,441,460,604,616,621,634,638,649,653,662,676,683,692,698,708,718,724,732,740,746,762,771,772,782,795,805,806,814,823,839,842,850,861,869,880,884,895,904,910,917,928,938,944,958,960,970,979,992,996,1010,1011,1024,1031,1038,1046,1059,1064,1071,1083,1088,1099,1106,1113,1128,1134,1142,1155,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,31,37,47,52,66,70,80,88,94,105,111,123,129,138,152,157,162,176,315,321,330,340,348,357,364,375,385,389,400,405,419,423,430,440,458,607,612,620,629,641,647,660,664,675,678,689,701,706,718,724,734,740,751,757,769,774,780,791,800,807,819,825,831,840,850,861,867,874,889,893,901,912,920,927,942,948,953,967,974,984,992,995,1008,1018,1021,1029,1044,1048,1054,1064,1073,1082,1094,1103,1109,1115,1124,1136,1140,1155,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,25,32,35,45,56,63,69,79,86,96,103,114,121,135,139,147,160,163,171,315,318,329,337,350,357,361,373,379,392,402,411,420,422,433,443,463,602,609,621,633,635,650,659,667,669,679,693,700,708,715,724,731,737,752,760,770,772,782,790,802,807,817,824,835,843,853,860,867,878,882,898,906,915,919,925,933,947,956,961,974,981,988,994,1003,1016,1025,1030,1038,1048,1055,1067,1077,1086,1091,1102,1105,1117,1124,1131,1145,1155,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,32,38,47,57,61,68,85,93,98,102,112,125,135,139,146,155,162,178,186,325,333,338,345,359,367,377,385,394,396,407,419,424,431,441,468,604,614,620,630,641,647,657,667,669,684,691,701,705,712,721,734,740,748,756,766,773,780,796,803,814,819,829,835,843,856,859,866,878,885,895,902,911,923,926,941,945,959,961,976,981,986,996,1006,1014,1022,1029,1040,1052,1055,1065,1073,1084,1091,1099,1106,1115,1124,1138,1145,1152,1158,1168,1178	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,18,32,35,43,56,59,75,78,89,96,108,111,124,134,143,151,157,170,177,183,324,333,342,346,353,362,374,385,388,400,408,415,424,437,438,596,608,612,622,633,638,648,660,666,673,681,687,700,704,713,727,729,739,748,756,767,779,788,792,805,808,816,827,834,845,853,861,872,880,886,893,908,911,922,925,940,948,954,963,970,977,989,997,1004,1016,1019,1028,1044,1050,1054,1069,1072,1083,1095,1098,1111,1121,1130,1132,1140,1152,1164,1166,1177	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,15,18,31,41,49,58,65,76,80,88,95,109,115,122,129,143,149,156,169,173,180,322,332,337,347,359,368,374,380,390,397,407,419,427,430,438,460,607,612,621,628,643,644,652,661,670,680,689,702,707,715,725,735,738,750,758,764,771,784,790,805,811,817,829,831,843,852,857,869,875,890,899,901,912,920,929,941,946,951,966,975,978,986,994,1010,1018,1025,1028,1037,1047,1058,1063,1071,1083,1089,1102,1109,1113,1125,1132,1144,1152,1161,1169	0,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,14,21,31,37,50,55,60,70,81,88,96,108,117,126,135,140,152,158,169,173,182,318,330,339,346,359,365,371,385,393,400,410,418,425,433,444,597,606,617,623,634,640,645,653,662,674,685,689,696,704,717,727,733,745,752,760,763,779,786,791,805,809,819,828,831,844,855,859,871,875,887,895,906,912,921,932,941,950,951,967,969,983,985,998,1004,1012,1024,1031,1038,1053,1058,1064,1078,1086,1089,1102,1109,1114,1123,1135,1142,1149,1162,1166,1176	0,0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
8,9,23,27,39,49,58,60,73,78,93,98,103,118,124,132,139,151,160,166,179,182,320,332,342,352,358,368,372,378,393,395,405,417,424,431,442,447,603,610,625,627,635,652,660,666,672,678,686,696,706,714,721,732,745,748,755,763,775,785,790,798,807,819,825,835,843,854,864,868,875,885,899,900,912,917,926,938,943,954,967,973,979,993,995,1010,1013,1025,1033,1037,1046,1059,1062,1078,1084,1095,1103,1107,1119,1122,1138,1140,1155,1156,1170	0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,14,17,33,34,50,57,63,72,84,91,97,104,112,125,128,138,146,160,162,172,184,323,330,337,349,359,367,372,379,386,395,405,415,422,434,445,465,602,615,620,628,640,648,659,663,671,679,692,701,703,712,726,730,740,751,755,771,779,786,795,802,812,816,826,838,847,852,864,866,880,883,894,901,909,923,927,940,945,951,964,968,979,986,1000,1005,1011,1026,1029,1037,1045,1054,1062,1077,1083,1092,1103,1105,1119,1123,1133,1140,1154,1163,1165,1178	1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,15,19,29,35,50,59,61,74,82,92,102,109,117,121,132,139,145,159,164,172,182,323,335,343,351,358,367,376,382,386,399,412,415,423,431,444,461,608,612,623,632,637,646,659,667,673,685,686,695,709,717,726,730,737,746,761,769,774,785,791,801,806,820,824,832,847,848,863,865,880,883,896,903,914,924,931,942,945,952,965,976,978,988,1000,1009,1017,1020,1034,1040,1052,1058,1067,1074,1082,1095,1100,1106,1116,1125,1136,1142,1151,1159,1167,1174	1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,19,29,34,47,57,64,71,85,88,96,110,111,123,136,139,148,158,168,171,184,325,331,337,346,358,369,372,379,393,400,409,420,421,437,442,597,607,615,619,627,635,644,656,668,670,683,687,698,705,716,721,730,738,750,755,769,773,788,795,803,811,815,825,838,843,854,864,871,881,888,894,904,914,923,926,939,947,952,962,970,982,989,1001,1004,1011,1026,1032,1039,1047,1060,1066,1076,1086,1095,1101,1107,1119,1125,1136,1140,1150,1160,1167,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,14,19,33,40,46,54,62,75,82,93,95,105,117,124,129,143,146,160,162,173,317,322,327,335,347,356,361,373,384,388,398,407,419,421,433,441,598,607,616,622,629,635,646,652,668,677,680,688,701,708,718,720,736,740,750,761,767,779,784,788,802,806,819,829,837,840,851,865,872,881,888,898,903,911,921,932,934,949,951,961,974,982,988,997,1004,1015,1021,1031,1041,1050,1062,1068,1071,1086,1092,1103,1111,1118,1125,1134,1145,1147,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,24,26,38,49,58,60,73,84,85,94,104,115,124,133,139,147,155,168,177,187,322,327,343,349,355,365,375,384,388,402,407,414,426,431,446,597,605,617,618,631,643,649,654,662,673,681,686,701,709,719,726,732,743,746,758,769,775,783,797,804,811,820,831,834,841,850,860,872,882,883,897,906,908,917,929,934,948,952,967,972,983,991,997,1004,1011,1027,1035,1041,1049,1056,1069,1077,1081,1093,1101,1112,1114,1122,1133,1141,1148,1157,1164	1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
6,11,18,33,36,44,58,59,71,80,89,100,104,117,127,134,143,152,156,164,172,191,323,329,343,349,360,364,370,380,386,396,409,419,427,435,442,599,606,611,621,631,643,649,655,665,670,679,686,702,704,718,725,729,745,749,758,767,774,783,794,802,806,819,830,834,844,853,862,867,876,883,892,902,909,923,928,940,948,954,961,969,981,986,999,1008,1016,1024,1034,1042,1050,1059,1068,1074,1083,1095,1101,1112,1113,1123,1138,1143,1153,1161,1167	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0
2,9,25,32,35,50,56,60,73,80,93,94,109,111,123,129,142,146,154,166,173,180,324,328,337,347,356,361,376,385,392,396,409,414,427,435,439,600,603,614,623,634,643,649,656,662,673,685,689,697,707,720,722,737,740,750,762,767,775,788,791,804,813,814,825,832,844,855,865,868,879,883,893,899,913,919,932,940,943,952,963,973,978,985,995,1003,1018,1026,1029,1042,1052,1057,1063,1071,1079,1089,1098,1105,1117,1128,1137,1142,1154,1158,1167,1175	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
8,10,20,30,41,47,56,66,70,82,88,101,102,115,123,133,138,148,155,167,179,183,320,332,341,350,355,361,376,378,395,398,406,419,424,433,443,461,604,612,619,631,639,645,660,664,675,679,688,702,711,719,721,732,739,752,754,767,776,781,795,798,807,821,827,836,847,849,861,867,882,885,892,901,916,918,932,938,946,952,967,970,980,986,997,1002,1013,1023,1035,1041,1045,1054,1067,1072,1085,1095,1103,1112,1117,1125,1134,1141,1151,1156,1167,1177	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
4,16,17,30,42,47,58,63,69,82,90,97,109,116,122,134,138,151,159,163,173,192,323,332,340,348,360,364,377,385,389,402,412,413,425,431,443,458,609,611,624,630,637,644,653,666,670,685,692,697,710,717,724,731,744,748,756,767,776,783,793,805,812,817,831,834,846,856,857,869,880,890,899,902,914,918,926,940,943,955,960,971,979,990,1001,1008,1015,1023,1030,1039,1053,1060,1070,1078,1083,1090,1103,1108,1118,1124,1130,1141,1148,1164,1167	1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,9,22,27,42,43,52,61,72,83,90,95,110,111,127,133,139,151,158,162,178,189,326,332,340,345,353,361,370,382,393,402,404,418,426,430,446,599,602,615,626,627,635,644,653,663,677,681,692,700,708,712,721,730,745,753,763,769,773,787,791,804,808,821,827,836,842,851,864,865,875,884,895,901,913,917,932,934,947,952,962,968,978,988,994,1003,1018,1022,1034,1041,1050,1057,1064,1078,1082,1092,1099,1113,1120,1124,1134,1141,1148,1158,1167	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,9,17,31,42,45,59,67,73,81,90,100,108,114,127,131,137,153,156,167,178,314,322,332,338,350,356,363,370,386,389,396,404,414,429,437,443,599,609,612,623,630,636,646,654,666,675,681,692,699,706,712,725,734,738,752,761,770,772,781,794,805,807,817,827,835,842,853,860,873,879,890,892,901,910,924,928,940,951,955,962,976,983,991,995,1002,1019,1026,1033,1040,1047,1053,1065,1073,1080,1087,1100,1110,1119,1126,1136,1146,1154,1156,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,31,35,49,55,67,71,78,89,96,109,112,119,130,138,151,158,166,173,315,323,332,337,350,356,369,375,383,393,401,410,415,428,434,440,451,607,611,625,631,640,650,652,667,670,686,694,701,708,713,723,730,744,754,758,765,777,781,789,802,813,822,831,838,843,852,861,867,882,885,893,906,912,918,925,937,946,956,963,969,982,988,997,1004,1014,1019,1030,1040,1053,1054,1064,1073,1087,1093,1098,1112,1115,1122,1132,1142,1154,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,26,39,49,52,67,76,82,89,102,104,112,125,133,139,146,157,162,173,314,325,327,343,351,355,363,371,384,394,400,411,418,424,434,444,600,607,614,618,630,639,648,656,665,672,679,691,697,711,718,728,730,738,752,759,765,775,787,791,799,812,821,823,834,847,855,858,868,876,884,899,902,914,917,926,935,948,952,961,973,980,987,999,1003,1013,1022,1034,1041,1053,1054,1069,1076,1081,1094,1098,1108,1118,1127,1134,1139,1150,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,28,42,50,56,67,68,78,91,94,107,118,125,133,144,150,157,167,177,315,321,331,339,346,357,364,373,378,391,398,408,414,428,434,442,597,603,614,621,626,636,646,656,663,672,679,689,701,705,720,724,730,744,753,758,763,777,785,796,799,811,818,828,836,847,852,857,873,878,885,896,906,912,920,927,942,944,956,963,971,982,985,994,1008,1013,1020,1034,1040,1050,1054,1065,1075,1082,1089,1102,1105,1116,1126,1137,1144,1152,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,28,36,50,52,62,76,78,88,98,104,118,124,132,138,152,156,169,173,317,325,330,341,344,354,366,376,384,394,399,404,413,424,435,439,598,604,616,623,630,641,644,655,667,677,681,694,700,705,714,726,734,742,747,759,764,773,782,797,799,811,816,828,833,842,851,858,867,877,891,896,905,914,923,929,934,948,952,966,974,984,993,994,1005,1017,1023,1032,1041,1049,1059,1062,1079,1080,1093,1097,1109,1120,1128,1135,1147,1151,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,31,42,47,56,64,72,77,93,99,105,115,125,130,141,147,155,165,174,314,323,332,341,345,358,363,376,385,394,401,410,416,425,435,443,460,605,611,618,631,640,648,652,663,672,683,693,696,707,719,720,733,737,746,757,768,778,784,795,802,812,816,826,836,843,855,858,869,880,888,896,904,911,917,929,941,944,958,964,970,983,987,999,1006,1019,1020,1035,1042,1047,1061,1064,1072,1080,1090,1104,1111,1116,1129,1135,1143,1153,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,26,39,49,54,67,70,81,93,95,108,111,124,128,139,145,159,165,171,314,318,327,342,349,355,362,377,381,388,396,404,414,421,430,438,469,608,613,622,632,637,648,658,668,676,677,686,698,708,713,727,729,743,746,758,770,776,781,797,800,809,817,823,837,841,857,863,869,874,890,895,906,909,922,927,939,944,954,962,972,977,989,996,1008,1016,1021,1032,1036,1050,1061,1064,1073,1083,1093,1097,1111,1115,1130,1133,1144,1152,1160,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,30,37,46,57,64,74,80,86,94,108,119,124,134,144,147,158,170,171,318,323,330,337,346,359,366,372,380,389,401,410,420,422,430,438,599,604,615,625,626,635,645,659,668,672,682,688,701,709,713,728,729,745,751,762,763,774,784,796,803,808,819,831,833,841,854,863,868,878,888,893,906,909,918,931,935,944,954,964,968,976,987,1000,1004,1016,1021,1029,1039,1050,1055,1063,1073,1080,1095,1104,1107,1116,1127,1136,1143,1154,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,18,31,37,44,54,60,74,83,88,96,102,114,123,133,142,150,157,169,173,182,320,334,339,345,359,368,372,380,386,401,406,415,428,430,439,597,608,617,624,628,641,649,653,663,675,686,692,699,709,717,724,736,743,747,759,768,774,788,792,804,810,818,824,832,847,852,857,873,875,883,899,906,912,919,928,934,950,954,966,974,980,993,998,1007,1012,1022,1031,1038,1050,1057,1067,1072,1084,1089,1104,1109,1114,1122,1137,1144,1155,1160,1166,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,18,32,41,48,57,66,75,82,93,99,108,119,126,129,137,146,155,168,174,314,326,334,340,345,355,361,377,381,389,397,406,414,425,437,441,460,601,617,623,626,642,650,656,669,670,677,688,700,707,712,720,734,744,746,755,771,776,786,789,799,807,818,825,840,848,850,860,869,881,884,892,902,910,918,926,934,945,954,961,974,976,991,995,1008,1015,1020,1036,1043,1052,1060,1062,1078,1086,1091,1096,1106,1121,1128,1135,1139,1154,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,27,38,49,51,65,76,80,93,97,103,116,125,132,143,145,154,165,175,315,321,329,340,345,358,366,376,386,391,403,405,418,424,432,441,460,603,610,619,630,635,651,657,668,673,680,688,701,704,712,722,730,739,750,760,769,776,787,795,802,812,816,831,837,840,854,864,870,876,885,895,905,912,919,931,940,943,953,959,968,980,989,1001,1009,1013,1021,1030,1044,1052,1058,1067,1076,1082,1089,1099,1109,1118,1122,1130,1145,1150,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,17,33,40,42,59,66,71,80,87,97,109,117,121,134,143,152,158,168,173,316,319,331,337,350,352,364,371,382,393,400,407,417,421,433,441,596,605,611,623,628,638,648,653,668,673,682,689,696,710,715,721,732,741,751,761,769,779,788,793,802,806,820,826,836,841,851,861,871,880,883,895,900,914,919,926,938,945,957,963,970,980,992,1000,1010,1018,1020,1036,1041,1049,1054,1069,1073,1080,1090,1101,1104,1115,1127,1131,1143,1154,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,33,40,48,56,63,70,77,91,101,103,117,127,132,142,151,160,165,178,315,322,332,340,344,355,367,372,382,391,401,412,418,421,434,442,600,607,617,625,627,635,648,659,661,674,679,689,701,703,719,723,735,738,746,758,770,779,781,795,801,806,819,830,833,847,857,864,871,877,884,899,900,909,922,930,935,950,957,965,968,978,993,1001,1010,1013,1019,1029,1038,1049,1061,1070,1072,1082,1094,1099,1111,1120,1128,1133,1147,1150,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,25,33,40,47,54,60,72,83,90,98,108,113,126,131,137,146,157,168,178,181,322,334,339,348,360,366,372,382,392,400,411,416,427,432,441,451,603,617,621,627,635,645,654,662,670,679,691,702,709,718,721,732,738,753,756,770,778,784,792,803,810,816,831,832,846,853,863,866,874,885,895,904,909,925,930,939,949,956,960,975,981,991,998,1002,1016,1027,1032,1044,1046,1057,1067,1070,1079,1088,1102,1112,1116,1125,1132,1145,1148,1161,1165,1173	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
4,13,25,31,36,49,52,61,71,79,90,97,106,114,124,136,137,148,154,169,171,317,319,329,341,344,359,361,373,385,390,402,409,414,421,431,437,468,604,609,618,633,638,649,653,666,673,684,691,698,711,713,720,729,739,749,757,771,772,782,797,798,806,819,831,835,847,849,862,866,874,887,895,905,910,925,933,939,951,954,963,975,978,986,998,1010,1014,1023,1031,1041,1050,1058,1068,1074,1085,1089,1096,1111,1113,1128,1138,1139,1153,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,22,28,35,46,55,62,70,84,88,99,104,112,120,133,138,149,155,170,174,314,320,329,337,345,360,368,373,382,393,403,410,417,426,433,441,456,605,617,625,632,636,651,659,666,672,678,693,699,706,719,726,730,742,753,758,768,775,786,789,802,806,822,827,838,844,855,859,868,874,890,894,907,913,919,926,941,945,953,967,969,983,987,999,1004,1014,1027,1030,1041,1046,1057,1064,1071,1080,1092,1103,1106,1119,1126,1136,1141,1154,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,18,29,35,48,53,66,71,83,85,94,109,113,126,135,137,147,160,167,177,314,326,327,339,348,360,368,371,385,390,403,405,418,422,431,444,596,605,617,624,627,636,648,655,667,671,684,688,702,707,717,720,735,738,750,759,770,778,783,791,805,809,821,828,832,845,855,865,868,876,883,892,902,914,921,928,937,950,958,966,968,977,990,1001,1010,1013,1021,1033,1039,1052,1061,1063,1075,1084,1088,1097,1112,1119,1128,1131,1140,1147,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,26,37,47,58,60,75,78,87,100,108,112,124,131,138,148,154,163,176,317,322,327,336,350,354,362,370,384,391,400,411,415,426,432,443,450,606,610,619,632,640,651,659,661,672,683,686,699,709,720,728,729,744,750,759,766,778,783,790,797,808,817,827,831,842,856,858,869,881,884,898,903,908,919,931,936,950,953,965,970,984,991,994,1006,1011,1026,1035,1042,1045,1057,1069,1078,1082,1088,1103,1108,1120,1126,1130,1139,1150,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,32,35,43,58,67,73,80,85,94,103,116,124,131,143,146,156,170,171,316,322,330,342,345,357,366,371,382,390,398,412,416,428,432,443,599,603,615,620,630,639,648,657,665,675,678,694,699,708,720,727,732,739,746,759,768,777,784,793,800,810,815,824,837,840,854,862,867,875,891,892,901,911,917,933,934,945,957,967,973,985,993,994,1010,1011,1021,1032,1040,1046,1059,1069,1075,1082,1092,1099,1109,1113,1121,1138,1147,1149,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,31,38,42,58,67,70,80,90,100,110,116,123,130,142,152,160,169,175,313,326,331,338,351,356,364,376,384,394,398,406,414,420,435,445,459,601,617,622,630,641,648,659,667,673,685,689,703,709,718,720,729,739,749,754,770,772,787,796,804,813,819,828,837,842,855,863,873,881,889,892,901,911,924,927,941,944,953,965,970,977,986,1000,1010,1016,1020,1034,1042,1053,1058,1066,1072,1086,1092,1099,1109,1120,1129,1135,1141,1152,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,33,42,48,55,60,76,83,93,101,106,114,123,133,141,151,159,166,175,314,326,328,340,346,355,361,371,386,389,396,407,418,428,431,439,459,602,612,622,630,643,652,653,660,672,681,692,698,706,713,725,736,745,750,761,769,777,783,790,805,808,821,824,838,843,855,862,873,877,884,896,906,911,924,926,938,947,952,964,969,980,987,999,1009,1014,1023,1033,1043,1051,1053,1068,1076,1081,1093,1097,1111,1120,1128,1133,1147,1150,1163,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,32,36,47,53,61,75,84,86,102,105,111,121,128,142,152,154,163,172,313,318,331,338,348,354,363,376,378,393,402,405,413,424,432,438,459,608,612,624,631,639,649,657,666,676,683,693,700,709,718,724,732,742,747,761,764,773,788,796,801,809,817,828,832,844,850,860,873,877,885,898,903,912,918,928,935,948,955,960,970,984,988,996,1009,1017,1020,1032,1042,1051,1058,1066,1076,1079,1093,1102,1112,1118,1124,1138,1139,1155,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,22,29,42,48,59,60,73,85,87,101,108,116,125,128,144,149,157,170,171,314,319,328,336,346,357,368,373,383,391,398,406,420,428,430,442,457,603,616,622,630,641,650,652,666,671,682,692,698,706,717,724,730,742,751,755,771,778,786,795,800,808,815,829,832,841,850,861,871,882,889,895,906,910,920,932,940,943,955,960,970,978,988,998,1005,1016,1026,1035,1043,1052,1061,1070,1078,1080,1089,1102,1111,1117,1125,1133,1139,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,17,31,36,46,51,61,71,81,86,102,103,118,127,129,144,146,159,166,177,317,326,331,340,347,355,366,373,381,387,400,404,412,424,431,439,600,606,612,625,627,639,648,659,662,669,685,689,697,706,715,728,736,744,747,758,769,777,788,791,797,809,820,831,839,843,857,860,873,876,890,898,900,909,923,932,942,947,954,963,975,981,988,997,1007,1013,1024,1029,1043,1050,1055,1067,1078,1087,1094,1098,1109,1119,1125,1137,1143,1151,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,30,34,45,57,59,74,80,87,101,102,114,121,132,138,149,156,169,176,317,322,331,343,347,359,365,371,383,386,399,406,413,422,433,441,462,607,612,620,632,643,651,652,666,677,679,694,698,710,718,727,732,743,750,762,768,778,780,790,803,810,822,830,833,843,854,858,866,879,888,894,906,916,920,927,934,950,952,961,971,977,990,995,1005,1018,1027,1032,1036,1048,1053,1066,1075,1085,1095,1098,1112,1119,1122,1137,1146,1154,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,28,34,49,51,67,71,85,88,95,106,117,126,129,143,152,160,163,175,316,322,330,342,346,355,367,377,378,389,395,405,419,422,436,440,447,603,614,626,632,638,645,652,664,677,684,688,699,706,712,727,732,744,747,760,768,779,786,790,797,811,817,830,839,847,849,858,870,878,883,895,903,912,921,933,937,946,952,965,969,976,989,1000,1010,1019,1026,1033,1037,1053,1059,1070,1074,1079,1090,1102,1104,1119,1124,1130,1141,1152,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,26,35,43,53,66,68,82,93,94,107,115,124,128,144,151,156,168,171,188,319,328,338,350,355,365,374,383,391,400,404,414,429,436,440,596,606,610,623,630,642,647,658,669,672,681,687,696,711,717,722,731,738,750,758,766,777,781,796,799,811,819,828,835,848,851,861,870,879,887,894,906,914,921,926,941,942,957,965,969,977,986,995,1002,1011,1024,1032,1039,1049,1057,1068,1076,1086,1091,1099,1109,1120,1125,1132,1143,1153,1160,1167,1178	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,18,28,37,50,54,63,72,78,90,98,108,115,119,136,139,150,155,163,174,182,323,333,339,344,357,369,374,385,392,402,405,414,421,433,438,597,607,617,619,630,641,647,655,661,669,682,692,697,710,720,724,731,741,749,759,767,775,780,792,801,813,820,830,835,845,849,864,867,882,891,895,906,913,922,930,940,944,954,960,975,977,985,995,1009,1017,1026,1028,1038,1047,1060,1064,1073,1081,1091,1099,1109,1115,1124,1137,1140,1153,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,10,17,30,36,49,59,61,69,80,91,97,107,116,120,131,141,147,156,165,177,187,324,333,336,352,356,368,377,383,388,400,409,412,427,431,441,450,605,617,620,629,640,650,660,667,674,684,693,701,705,717,727,736,739,747,760,767,773,780,795,800,808,815,828,833,845,853,860,866,880,883,891,905,908,921,929,934,950,958,964,968,983,988,997,1010,1015,1026,1028,1036,1047,1058,1065,1075,1086,1090,1103,1107,1121,1122,1137,1140,1154,1157,1171	0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,19,34,38,49,53,65,74,82,86,100,103,117,124,136,138,149,156,169,175,181,318,328,338,351,354,366,377,382,388,401,406,414,423,437,445,599,602,612,619,628,637,645,653,665,675,680,689,698,708,717,727,730,745,751,762,766,774,787,793,801,813,816,830,835,843,849,864,870,878,884,898,908,913,923,931,935,942,954,964,972,980,988,997,1005,1018,1021,1032,1039,1050,1057,1069,1078,1081,1095,1099,1111,1117,1129,1131,1139,1148,1159,1169,1176	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,13,24,28,35,49,59,60,69,76,87,94,109,113,124,135,144,149,158,164,176,183,326,332,337,345,354,368,371,382,391,397,407,417,426,437,439,599,602,617,625,633,641,648,658,663,669,684,694,702,703,719,725,729,740,746,757,765,776,788,795,802,811,821,826,833,842,848,864,870,877,885,897,900,916,918,929,936,947,956,967,971,982,990,994,1006,1017,1020,1032,1042,1050,1060,1067,1071,1086,1092,1098,1112,1113,1124,1130,1141,1150,1163,1172	0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,12,19,33,41,48,57,59,69,79,93,96,109,111,121,132,139,149,160,162,176,182,319,334,341,344,354,364,375,381,394,397,411,420,422,437,441,447,602,614,619,626,641,646,655,663,676,685,691,695,710,714,728,731,740,753,756,765,773,782,792,805,813,814,826,838,842,852,864,866,879,890,896,907,914,920,931,939,947,958,960,969,983,985,1002,1003,1018,1023,1035,1041,1046,1053,1063,1075,1079,1090,1101,1108,1114,1127,1131,1142,1151,1163,1170,1174	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,18,27,42,43,58,68,69,82,93,95,104,117,122,133,137,147,154,170,175,185,326,334,341,346,357,364,370,379,390,401,410,418,422,431,445,597,604,610,623,630,640,649,658,662,676,685,693,701,708,714,721,732,742,751,755,771,778,780,796,798,812,818,824,835,845,854,865,873,877,888,898,902,914,920,930,941,949,954,964,972,977,985,1002,1010,1011,1020,1028,1037,1049,1057,1062,1073,1085,1088,1101,1107,1113,1127,1134,1147,1148,1164,1172,1176	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,13,23,31,37,45,59,61,75,82,90,94,107,112,126,128,144,150,161,167,174,179,325,329,343,346,352,367,372,381,394,395,406,420,422,432,444,597,604,610,620,632,635,644,659,667,676,679,694,703,706,715,725,736,741,754,757,763,773,785,796,801,808,820,826,835,841,850,862,868,881,891,893,906,913,919,932,939,946,958,964,970,979,993,1002,1008,1015,1025,1035,1041,1049,1061,1062,1078,1084,1094,1098,1106,1117,1124,1138,1143,1152,1156,1165,1173	0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,15,21,31,37,44,57,62,71,81,91,101,110,116,123,130,141,145,159,166,177,315,322,327,339,347,356,361,370,380,387,402,403,416,428,437,438,600,607,617,625,630,641,648,656,668,669,681,689,695,705,716,723,734,740,750,759,767,777,782,789,804,811,821,825,838,843,851,858,872,877,887,894,903,912,924,931,941,949,954,960,970,978,991,997,1007,1016,1024,1031,1041,1052,1061,1066,1072,1085,1090,1102,1111,1115,1130,1138,1142,1154,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,25,32,41,44,51,62,70,78,90,99,103,112,125,128,144,150,159,167,174,191,321,333,339,349,357,369,370,379,394,399,407,412,427,430,440,598,608,614,623,634,635,651,656,667,672,678,687,696,707,716,725,731,742,748,759,770,775,787,794,800,807,817,829,832,842,854,863,870,879,889,897,904,916,925,933,940,942,957,961,972,981,989,993,1003,1014,1023,1035,1037,1045,1057,1068,1075,1086,1090,1100,1110,1118,1130,1137,1141,1152,1156,1167	1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,19,26,37,47,52,67,71,80,91,94,105,117,121,130,139,151,161,165,173,190,325,330,338,344,357,369,376,382,394,396,406,419,426,429,441,468,605,609,622,634,643,651,658,667,671,681,691,702,705,716,722,731,743,753,760,768,772,782,796,803,808,816,828,839,847,856,864,873,878,884,896,901,909,923,926,935,943,952,965,970,977,990,999,1005,1011,1021,1032,1044,1051,1056,1068,1075,1083,1088,1103,1108,1113,1127,1135,1146,1149,1161,1170,1174	0,0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0
4,10,20,29,34,47,51,67,73,82,90,94,105,114,123,134,144,153,158,166,171,196,326,332,337,345,360,365,374,379,393,401,411,412,420,432,440,456,603,613,621,626,637,649,657,668,675,682,690,697,706,717,724,729,744,751,756,764,776,782,792,803,809,819,825,834,848,853,863,871,881,886,892,900,909,917,925,942,948,958,959,973,983,987,999,1007,1015,1019,1034,1037,1046,1061,1064,1077,1086,1090,1103,1109,1113,1125,1138,1145,1153,1161,1170,1177	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,17,29,36,48,51,67,70,78,90,94,109,118,119,128,140,146,160,170,174,192,326,331,340,347,360,364,370,380,387,399,405,419,425,429,439,454,607,612,625,632,639,646,655,668,673,680,687,702,705,716,727,731,743,753,757,771,777,784,792,804,814,821,830,834,841,857,859,866,880,888,894,906,910,923,932,936,948,959,963,969,979,988,995,1004,1017,1023,1029,1040,1048,1055,1067,1077,1087,1094,1102,1107,1119,1129,1132,1145,1153,1157,1168,1174	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,22,33,39,44,55,62,71,82,93,99,106,118,124,134,141,147,157,166,179,184,321,334,342,349,360,364,372,379,391,399,405,417,421,431,443,598,607,610,620,630,641,644,656,662,673,684,690,695,711,712,726,736,742,753,759,769,773,780,794,798,811,815,823,836,840,855,863,872,875,890,898,904,915,924,925,940,947,954,963,973,982,987,998,1003,1015,1024,1035,1042,1048,1059,1069,1078,1079,1093,1096,1112,1114,1121,1132,1140,1151,1163,1171	1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,21,32,37,46,51,60,70,83,93,94,105,114,121,134,144,148,160,167,176,179,320,330,339,349,358,363,378,381,389,396,403,418,427,429,442,600,605,609,624,631,638,645,658,666,677,681,690,695,706,720,727,732,744,752,761,764,775,788,792,799,811,816,826,833,845,854,858,865,874,890,894,904,914,921,928,939,946,952,966,976,981,988,1002,1004,1014,1021,1031,1044,1049,1057,1068,1070,1087,1094,1097,1109,1118,1122,1138,1143,1150,1162,1171,1178	0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1
1,14,19,28,40,42,56,64,72,84,90,98,109,117,119,134,141,151,158,163,176,315,321,328,338,347,354,368,375,383,391,400,410,417,426,430,439,597,608,613,620,631,637,646,654,668,672,680,690,701,708,713,727,733,742,752,759,770,780,783,789,801,810,817,828,839,844,849,860,867,877,886,891,901,913,917,928,938,944,955,968,976,983,993,998,1006,1011,1023,1032,1039,1051,1053,1069,1073,1082,1091,1098,1104,1118,1123,1134,1143,1155,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,33,37,47,59,63,70,77,86,96,106,115,123,131,137,153,159,163,171,317,320,331,337,351,358,361,374,385,394,400,408,415,421,435,438,600,601,617,622,630,641,646,656,662,671,685,693,698,711,719,725,735,744,754,755,765,776,783,791,798,811,814,825,839,846,855,859,866,882,891,892,900,911,917,925,940,947,956,963,972,978,991,995,1010,1014,1024,1031,1043,1050,1055,1070,1075,1081,1088,1097,1112,1121,1125,1134,1139,1153,1162,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,28,38,48,51,62,75,77,89,99,107,112,125,133,141,147,156,163,177,316,321,333,336,345,356,363,376,381,394,398,411,413,422,433,442,459,605,613,620,631,636,651,655,667,676,683,687,699,709,715,725,729,743,749,759,766,778,784,793,800,814,819,827,838,845,856,865,870,881,885,897,907,914,916,933,940,947,956,964,973,982,988,994,1008,1015,1026,1030,1040,1052,1058,1065,1071,1085,1092,1103,1109,1121,1129,1137,1146,1155,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,27,34,44,59,66,73,77,85,101,110,116,121,135,141,149,161,169,174,314,322,331,335,349,359,368,369,379,387,400,407,418,426,434,445,468,601,610,623,633,643,650,657,665,672,679,693,702,705,712,723,735,739,754,761,771,778,783,790,797,810,816,825,839,843,853,861,872,880,886,895,905,910,924,932,938,947,955,959,973,983,992,994,1008,1011,1020,1034,1041,1052,1057,1069,1074,1082,1090,1104,1105,1113,1122,1130,1144,1151,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,25,42,46,56,66,68,79,88,100,109,118,121,131,143,145,157,168,173,315,323,335,340,351,354,362,377,379,392,395,410,418,427,432,441,597,603,610,622,627,638,643,652,662,676,679,693,697,710,712,724,729,744,749,755,767,778,780,796,799,813,817,830,833,842,856,862,868,878,882,892,904,910,919,928,938,944,952,959,972,982,986,998,1009,1016,1027,1032,1039,1047,1055,1070,1076,1081,1093,1101,1109,1121,1125,1138,1141,1147,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,32,38,45,52,64,76,82,89,97,110,118,125,128,143,151,160,168,177,313,323,327,343,351,354,366,369,384,391,403,408,417,422,435,438,600,608,610,624,631,642,649,656,661,676,683,694,698,704,717,726,731,739,747,759,769,773,784,796,802,807,817,828,835,845,850,860,866,882,887,898,907,916,917,929,939,950,954,966,972,983,989,1002,1010,1018,1025,1030,1043,1051,1059,1069,1075,1080,1092,1098,1112,1113,1125,1135,1144,1155,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,28,40,46,56,62,71,80,90,96,109,113,122,134,144,148,155,167,175,313,321,327,342,345,356,368,371,385,387,397,409,419,421,434,438,600,609,616,620,628,643,644,657,669,674,678,687,702,703,715,726,729,737,749,762,771,772,786,796,803,813,817,826,838,843,851,859,869,874,884,895,906,912,924,933,938,942,953,959,972,985,986,995,1006,1011,1020,1033,1036,1052,1057,1062,1078,1083,1095,1102,1112,1120,1124,1131,1142,1153,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,32,38,42,53,66,68,82,86,98,103,112,127,133,144,153,158,166,177,313,326,328,338,350,354,368,374,379,387,398,404,413,425,433,442,447,606,614,626,628,640,651,656,665,672,683,691,698,704,718,726,731,738,754,758,769,776,783,794,799,811,815,827,838,843,848,862,866,878,884,891,904,915,925,927,940,945,955,963,968,983,992,997,1007,1016,1026,1029,1037,1052,1055,1062,1072,1086,1089,1099,1107,1115,1122,1135,1144,1150,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,31,36,45,59,61,68,82,90,98,109,119,120,135,141,145,161,167,177,180,319,332,338,346,359,368,376,378,387,402,407,420,425,431,444,450,605,614,622,627,637,648,658,667,675,684,688,701,706,717,728,729,745,750,756,764,778,787,792,800,806,818,830,831,843,851,862,870,874,882,891,900,909,920,926,940,946,957,966,968,983,989,998,1007,1011,1027,1029,1044,1052,1057,1063,1073,1084,1095,1104,1110,1116,1128,1134,1144,1150,1161,1166,1174	1,0,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,24,28,41,43,53,67,68,81,89,99,107,119,126,135,138,151,158,169,178,313,318,330,340,351,360,363,376,380,387,401,406,417,424,435,439,599,603,616,625,632,639,649,656,662,673,681,686,697,704,718,722,733,740,748,760,771,775,782,795,805,806,820,823,839,847,848,860,868,878,888,896,900,910,921,929,941,949,955,967,971,984,992,999,1008,1018,1025,1028,1040,1046,1061,1064,1075,1081,1091,1104,1109,1115,1127,1138,1139,1153,1157,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,32,38,43,53,60,76,85,87,101,108,112,120,129,142,150,160,162,171,317,325,329,336,350,355,363,375,378,391,403,404,415,421,434,438,452,602,609,625,633,638,644,656,664,675,680,689,698,706,716,726,733,743,754,759,770,776,787,794,803,812,820,826,833,842,848,858,870,878,890,895,900,911,924,932,940,950,952,963,968,981,987,998,1004,1017,1020,1028,1041,1050,1054,1069,1076,1079,1092,1104,1110,1116,1129,1138,1142,1155,1158,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,21,33,40,48,55,65,72,85,91,95,103,112,119,131,143,151,156,167,174,313,325,331,336,351,359,367,377,379,393,401,411,415,422,430,444,598,606,617,626,629,636,650,658,661,677,679,692,698,711,715,727,733,741,750,760,765,779,783,790,804,806,817,827,836,846,848,863,867,877,882,896,907,913,918,931,937,948,953,961,969,979,990,1000,1002,1017,1020,1034,1044,1050,1057,1066,1073,1085,1093,1098,1111,1119,1126,1135,1139,1155,1160,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,30,38,43,52,63,74,82,88,95,103,117,119,135,144,151,160,167,172,313,320,328,335,346,357,364,374,382,391,398,410,417,420,432,443,457,603,616,619,631,638,650,659,664,673,684,691,703,710,715,724,737,743,753,762,767,776,787,794,805,810,814,828,833,845,854,865,866,875,887,897,907,912,924,926,940,948,959,964,969,981,987,995,1008,1015,1023,1034,1041,1050,1054,1070,1075,1085,1089,1101,1107,1118,1127,1138,1140,1149,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,27,35,50,58,65,71,83,91,99,103,117,122,131,144,153,154,163,175,191,325,333,341,347,353,365,376,382,393,401,409,412,427,430,440,598,609,613,618,630,638,651,652,668,669,684,688,699,709,714,722,730,740,753,758,769,772,785,794,804,809,816,828,835,840,851,859,866,878,885,896,908,913,924,927,934,942,958,964,968,982,986,1001,1002,1012,1026,1034,1041,1045,1057,1065,1072,1079,1095,1103,1109,1120,1126,1134,1146,1154,1156,1169	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,16,22,31,34,46,54,60,74,82,91,96,109,114,126,135,144,149,153,169,179,316,325,331,337,347,359,367,372,385,386,402,407,414,428,434,439,598,603,611,623,633,642,649,655,668,675,684,687,697,703,713,720,730,746,749,756,765,776,785,795,798,809,820,831,839,841,856,859,868,881,888,896,904,910,917,927,934,943,955,963,972,984,990,997,1005,1016,1025,1029,1041,1052,1054,1063,1077,1081,1088,1104,1110,1114,1127,1138,1139,1149,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,21,29,38,45,55,62,74,78,90,102,106,117,126,132,144,149,160,164,179,313,323,329,343,350,355,366,373,382,392,398,404,415,426,434,438,600,605,614,619,629,642,647,659,661,672,679,693,698,710,719,727,732,739,753,757,770,773,786,792,805,807,819,823,833,841,851,859,866,879,883,894,904,914,917,930,935,948,957,967,969,982,989,996,1005,1018,1027,1030,1037,1045,1056,1069,1077,1081,1093,1097,1108,1113,1123,1131,1143,1149,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,31,35,46,51,66,71,79,88,99,102,116,123,135,137,145,155,164,175,316,324,327,339,351,355,365,376,379,388,397,406,412,420,434,442,600,602,615,624,631,640,645,656,665,674,679,692,698,706,718,726,729,737,746,756,769,773,788,796,799,806,816,827,833,844,855,859,871,877,891,892,901,916,919,926,940,944,951,963,972,977,986,1001,1002,1017,1024,1033,1037,1046,1060,1064,1072,1084,1094,1098,1108,1118,1123,1134,1140,1148,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,23,31,35,50,54,60,71,84,91,95,106,111,120,132,138,152,156,167,177,315,321,332,336,347,357,365,374,378,387,396,406,416,422,432,442,600,607,616,623,632,639,650,659,662,675,680,687,700,709,718,726,736,741,746,761,769,777,782,795,798,814,817,824,837,847,849,862,866,874,884,891,905,916,921,933,935,947,953,967,971,976,986,995,1004,1012,1021,1029,1037,1051,1058,1064,1073,1079,1094,1100,1105,1119,1127,1135,1145,1152,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,23,29,36,45,59,66,69,82,92,102,103,118,124,135,141,151,154,165,175,316,321,334,342,348,360,367,375,379,392,400,404,417,425,437,439,600,602,615,620,626,640,649,653,664,670,684,688,703,704,715,726,731,744,747,758,763,775,786,790,799,809,820,830,837,841,853,858,869,881,888,897,904,911,918,933,942,943,955,960,973,977,989,995,1006,1013,1019,1031,1041,1052,1059,1070,1071,1081,1092,1097,1111,1116,1129,1134,1145,1149,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,21,34,37,49,55,67,69,81,92,94,108,112,125,133,139,150,155,168,174,313,320,333,343,345,356,362,376,383,394,397,410,417,423,434,439,599,603,611,621,631,637,645,658,666,672,682,690,702,708,715,721,730,739,747,761,769,776,786,791,801,812,820,828,836,843,856,861,871,880,885,891,902,915,922,931,941,949,953,961,968,978,989,995,1003,1011,1025,1032,1044,1046,1053,1063,1077,1085,1089,1097,1108,1116,1125,1131,1147,1148,1157,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,33,38,43,59,67,75,80,87,94,108,116,125,133,140,153,156,170,171,316,319,328,341,351,354,365,371,379,391,396,405,418,422,434,442,596,604,615,622,626,637,651,656,663,675,679,686,700,711,715,722,730,743,750,761,770,772,784,789,798,814,821,825,833,841,849,863,869,874,885,899,903,913,919,925,941,942,951,960,974,981,987,999,1007,1018,1023,1028,1042,1051,1053,1064,1071,1085,1092,1097,1112,1118,1128,1138,1146,1155,1157,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,31,34,46,54,67,75,82,87,97,110,114,122,133,139,147,154,167,177,315,321,333,343,346,355,367,376,384,390,402,404,415,426,431,446,449,601,614,621,634,639,646,653,661,672,684,694,696,711,714,722,736,743,748,758,770,778,781,794,803,813,815,831,832,841,851,865,872,876,883,895,902,909,924,926,935,945,958,965,974,982,986,1001,1006,1017,1020,1031,1037,1045,1059,1063,1073,1082,1089,1098,1112,1115,1129,1133,1144,1149,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,18,30,35,49,54,59,74,78,88,95,109,112,122,131,139,149,159,170,174,316,321,327,337,344,358,363,370,385,393,401,407,418,428,431,445,461,606,614,624,631,638,649,658,662,675,683,687,698,706,718,726,729,746,749,761,771,772,785,797,801,807,822,831,838,847,853,865,868,876,886,893,901,915,925,930,934,948,953,960,972,984,987,1000,1006,1015,1021,1032,1038,1046,1059,1068,1079,1083,1090,1100,1107,1115,1123,1135,1146,1150,1163,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,31,36,46,55,68,71,82,90,99,106,115,127,129,143,152,158,163,173,315,326,332,336,352,353,367,373,381,386,395,409,419,422,436,439,596,607,615,621,628,640,646,655,669,670,681,690,695,705,712,725,734,744,749,755,770,778,783,796,797,809,817,824,839,845,852,859,870,881,888,891,902,916,917,930,940,950,959,965,974,982,993,995,1009,1014,1021,1032,1038,1049,1058,1067,1072,1086,1090,1099,1105,1121,1127,1138,1145,1149,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,17,30,38,43,55,64,71,80,88,96,107,111,124,130,140,147,157,169,173,316,320,327,338,351,357,363,375,385,387,395,411,418,422,434,440,597,603,616,626,634,642,644,652,667,675,684,690,698,710,718,722,733,743,747,762,770,776,782,789,801,813,819,827,835,845,849,864,872,879,888,893,903,910,923,928,936,949,958,961,970,983,993,997,1010,1012,1021,1028,1038,1047,1055,1064,1077,1079,1088,1098,1105,1113,1129,1135,1142,1149,1156,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,25,40,46,54,64,76,82,92,94,102,112,126,132,140,149,161,168,170,315,320,334,338,352,355,368,370,379,387,400,410,412,422,430,440,600,604,614,622,628,637,647,660,667,677,680,694,695,706,719,720,731,739,752,761,763,777,786,791,803,806,817,825,832,844,855,862,870,879,888,893,903,908,917,928,936,947,959,962,971,979,990,1000,1008,1014,1022,1034,1037,1048,1060,1066,1078,1087,1093,1100,1106,1113,1123,1135,1144,1153,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,25,37,45,52,60,69,83,89,101,108,112,124,128,136,151,160,165,173,181,324,328,336,349,358,362,372,379,386,399,405,414,426,432,444,596,604,612,622,633,640,645,655,663,671,682,690,699,709,712,722,733,745,750,758,767,773,782,792,805,812,822,823,838,842,854,858,872,881,890,893,905,911,924,928,934,948,952,963,974,982,993,995,1002,1015,1024,1034,1044,1050,1056,1065,1071,1079,1095,1097,1111,1118,1123,1138,1140,1154,1156,1164,1177	1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,12,17,31,38,50,53,66,70,79,86,94,107,114,127,132,136,152,161,164,172,179,326,328,339,346,353,362,375,383,391,402,409,416,425,429,439,462,604,615,620,633,641,648,659,665,674,679,693,700,708,717,725,737,745,747,761,770,773,787,792,797,806,814,823,834,842,855,864,871,881,888,893,902,914,921,929,941,946,958,961,975,984,987,1000,1004,1016,1024,1034,1042,1049,1056,1066,1078,1082,1091,1098,1113,1117,1123,1134,1144,1150,1162,1172	1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,13,17,32,41,45,57,68,76,80,90,94,107,118,126,135,137,148,158,165,171,188,320,335,341,349,360,369,371,378,391,399,404,412,420,434,440,597,603,610,626,634,643,644,659,663,669,680,689,703,705,717,727,734,740,752,762,763,776,784,796,802,807,822,823,835,844,853,858,870,881,888,895,902,915,918,928,936,943,958,963,968,983,986,1000,1004,1015,1020,1034,1042,1048,1059,1065,1077,1086,1088,1101,1112,1118,1125,1134,1144,1153,1157,1166	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
8,11,17,30,39,43,54,67,71,79,89,94,109,115,126,133,143,153,157,165,174,181,321,333,338,349,352,369,377,385,394,396,410,414,421,431,440,598,604,613,618,627,637,647,658,664,671,679,693,702,707,718,724,736,741,752,755,765,773,788,789,803,809,815,825,839,843,854,857,870,875,888,891,907,910,919,932,934,944,953,967,971,978,988,997,1008,1019,1026,1033,1040,1048,1057,1066,1073,1082,1092,1100,1108,1117,1129,1131,1140,1150,1161,1169,1177	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,17,29,40,49,55,67,70,83,90,100,107,114,123,132,142,150,154,163,175,193,322,332,343,345,352,364,373,380,393,401,409,415,424,431,439,468,605,617,620,633,643,649,657,664,675,680,689,702,710,713,724,736,737,747,759,767,773,783,792,800,812,820,827,838,843,855,860,866,881,889,896,904,915,924,926,939,947,959,966,974,982,991,995,1006,1015,1023,1035,1037,1047,1058,1069,1073,1084,1094,1098,1110,1115,1129,1133,1141,1152,1156,1165,1173	1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,20,25,38,49,57,66,70,78,93,102,106,115,127,130,142,147,155,163,176,184,319,328,338,344,352,364,376,381,395,400,408,412,425,434,445,463,604,617,621,634,637,644,655,664,669,684,693,698,709,718,724,734,741,754,758,763,773,781,789,802,808,821,827,836,846,852,864,871,875,889,893,901,916,919,933,935,946,954,963,973,983,992,1002,1009,1012,1027,1031,1041,1046,1053,1068,1072,1087,1091,1100,1111,1116,1127,1136,1146,1152,1163,1165,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,12,20,27,34,44,53,66,74,81,87,97,110,115,124,133,138,145,160,166,179,183,322,330,342,347,359,361,376,384,390,397,409,415,425,432,440,469,603,613,620,631,640,644,655,667,677,680,693,696,711,718,724,729,738,747,757,764,773,786,796,804,810,816,825,834,845,856,861,866,881,886,894,903,914,923,927,934,948,959,963,975,981,988,996,1010,1017,1019,1028,1043,1048,1060,1063,1072,1087,1092,1096,1107,1116,1123,1137,1143,1150,1162,1169,1175	1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,15,18,33,40,48,59,64,69,84,90,101,110,119,124,135,141,145,154,169,171,188,321,328,343,344,353,367,378,383,390,400,404,415,427,429,441,599,606,609,622,634,638,649,659,661,671,683,687,701,709,713,722,732,742,750,757,769,773,785,794,799,812,820,823,839,843,854,862,873,881,889,896,902,914,920,927,941,943,954,966,973,980,993,994,1005,1011,1020,1035,1037,1045,1060,1068,1076,1080,1092,1103,1110,1117,1128,1132,1142,1149,1158,1164,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,22,30,38,45,59,62,72,84,85,100,106,113,123,133,141,146,157,169,178,313,325,333,335,350,354,367,375,380,393,395,410,417,422,434,443,598,606,615,624,633,638,645,657,669,676,684,690,695,706,713,724,735,741,753,758,765,779,781,792,800,812,815,823,837,847,856,862,866,875,890,898,900,912,918,927,940,942,951,963,970,985,987,995,1009,1013,1021,1033,1040,1047,1061,1064,1073,1083,1090,1100,1111,1120,1123,1135,1143,1152,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,21,32,41,43,55,60,74,81,93,97,104,111,122,132,136,146,159,163,172,184,320,330,341,344,358,363,375,385,394,395,409,415,425,436,439,468,607,611,619,631,636,649,658,663,673,684,694,695,703,720,727,731,743,752,756,768,779,782,789,800,811,817,827,835,846,852,863,872,879,888,896,903,913,921,928,940,946,954,961,975,982,985,1002,1003,1018,1021,1035,1037,1052,1055,1069,1073,1082,1091,1097,1112,1119,1126,1132,1143,1147,1161,1169,1176	0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,32,42,47,52,65,76,85,89,96,104,118,119,132,137,150,157,169,175,185,323,327,340,346,355,368,370,378,388,402,406,419,429,436,444,596,601,611,623,631,643,644,655,666,671,680,692,697,704,718,723,729,742,753,761,764,779,783,790,800,807,818,824,839,848,853,859,873,875,890,897,904,913,921,928,940,942,957,964,973,977,986,996,1007,1013,1024,1033,1036,1049,1060,1068,1071,1080,1088,1097,1113,1116,1124,1136,1140,1154,1160,1166,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,16,19,29,38,49,58,62,69,83,91,96,105,118,125,128,143,146,159,162,174,191,324,334,339,348,356,369,377,378,390,398,409,413,425,431,441,599,602,610,626,627,640,644,655,663,673,681,689,700,705,717,724,734,742,748,762,770,773,787,793,804,808,817,828,831,843,852,861,873,874,885,892,900,914,916,929,937,943,954,960,971,979,985,996,1006,1011,1019,1028,1044,1045,1055,1064,1074,1085,1088,1098,1107,1116,1129,1138,1144,1150,1160,1169,1174	1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,15,20,32,38,43,52,60,69,77,91,97,103,119,123,130,141,148,157,162,173,187,321,331,335,344,353,364,373,384,390,402,404,412,427,434,444,470,604,611,621,634,642,645,659,663,674,683,694,696,703,719,728,731,740,750,754,764,778,784,795,797,808,821,830,838,842,849,864,871,881,888,891,908,916,917,927,939,944,955,967,973,981,988,995,1010,1011,1021,1030,1040,1047,1060,1064,1071,1079,1088,1096,1107,1113,1128,1131,1140,1155,1161,1170,1175	1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,12,20,33,38,44,55,61,76,83,88,96,110,112,121,131,138,148,158,170,178,192,326,328,336,347,357,366,376,383,389,400,406,416,424,433,438,596,604,613,618,627,635,645,652,665,674,681,692,695,710,718,726,735,744,753,756,763,775,784,788,799,814,820,826,831,848,856,865,870,880,886,897,904,910,925,931,939,947,956,966,969,981,985,1000,1010,1015,1025,1027,1040,1046,1056,1062,1074,1079,1094,1097,1110,1121,1122,1135,1146,1148,1164,1170	1,0,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,8,21,28,34,48,54,66,76,77,88,99,109,111,120,135,143,149,155,165,170,185,319,327,337,344,354,365,371,384,391,399,411,413,426,437,442,597,605,612,623,627,638,646,652,664,669,679,694,697,706,715,728,737,740,754,759,767,777,783,789,801,812,821,825,832,848,852,858,868,880,890,899,902,909,920,929,938,948,959,966,975,978,989,994,1002,1017,1027,1030,1038,1046,1053,1069,1072,1081,1095,1097,1110,1120,1122,1138,1143,1150,1164,1171,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,17,31,36,48,51,63,69,80,91,94,107,119,125,129,137,146,160,167,172,313,325,331,336,348,360,364,377,385,387,401,411,420,426,436,442,462,608,610,624,630,643,647,656,666,675,680,691,697,710,714,729,731,742,754,763,770,778,782,796,801,808,814,831,832,847,850,860,870,882,891,897,902,914,924,928,935,942,957,962,973,977,988,996,1006,1017,1020,1031,1039,1050,1059,1064,1076,1080,1090,1102,1107,1118,1126,1137,1140,1148,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,24,29,39,46,53,64,73,84,88,99,109,117,124,136,144,153,161,163,172,313,326,327,335,349,352,364,374,379,386,400,408,415,424,434,441,455,604,617,622,630,638,649,656,668,676,677,687,701,706,718,726,733,739,751,762,765,779,781,790,805,811,821,826,833,846,850,865,870,877,888,896,903,915,921,927,939,949,956,966,971,977,988,999,1002,1016,1022,1035,1037,1045,1057,1070,1077,1086,1089,1103,1109,1115,1124,1137,1139,1153,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,31,34,42,57,61,74,79,86,96,105,113,121,128,142,152,159,170,176,315,323,328,339,344,359,367,370,384,392,400,410,416,425,432,437,456,609,616,625,633,638,643,657,661,673,678,687,698,707,720,727,735,743,750,759,771,773,786,794,800,806,817,828,836,840,851,858,867,880,887,892,901,916,920,926,941,945,952,964,972,981,992,997,1003,1015,1026,1034,1037,1052,1060,1065,1077,1083,1090,1101,1106,1113,1127,1136,1141,1148,1160,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,27,37,49,59,63,76,82,86,98,107,118,121,135,143,151,157,166,176,317,322,333,341,351,360,369,373,378,394,402,411,418,426,430,441,597,607,612,619,626,640,649,653,662,674,680,689,696,706,714,720,731,741,750,762,770,778,786,789,804,807,816,824,839,846,851,859,871,880,890,897,904,916,924,931,941,947,958,966,969,979,988,994,1007,1015,1024,1030,1041,1046,1056,1062,1077,1083,1090,1103,1112,1118,1124,1133,1144,1153,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,28,41,44,55,60,72,82,85,100,104,116,124,136,144,149,162,165,178,313,324,332,335,346,352,366,375,382,391,399,409,415,420,429,439,596,609,617,621,629,636,647,656,661,670,684,689,703,706,718,725,730,746,752,756,767,775,785,794,798,807,814,823,836,840,852,858,865,876,884,896,904,912,921,933,940,950,958,965,972,977,986,1001,1008,1012,1020,1035,1039,1051,1058,1069,1072,1080,1091,1104,1106,1114,1125,1136,1140,1148,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,33,36,44,55,65,70,81,91,100,108,117,121,134,143,148,156,165,171,314,323,330,342,349,355,364,370,385,388,398,404,415,428,433,438,597,602,617,620,631,636,647,652,661,672,684,688,695,711,716,728,736,743,746,762,770,780,785,790,802,808,815,823,838,843,851,857,866,874,887,896,901,910,920,927,937,947,952,963,970,981,987,995,1010,1017,1022,1032,1041,1051,1058,1064,1073,1081,1095,1100,1110,1121,1123,1136,1139,1155,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,31,35,48,57,67,74,78,89,95,103,111,127,135,142,152,155,170,173,315,321,334,340,349,360,365,370,384,389,401,406,416,428,435,441,451,608,611,623,627,642,645,659,663,673,681,688,696,706,714,720,735,741,751,755,768,776,787,795,802,809,816,828,838,842,852,862,872,875,890,898,903,911,924,928,939,948,959,961,970,983,989,1001,1008,1016,1024,1035,1038,1050,1056,1065,1078,1086,1093,1098,1110,1120,1126,1131,1142,1151,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,32,41,49,58,66,74,82,87,95,107,118,127,136,141,151,154,162,173,316,319,332,338,349,359,364,377,384,390,398,404,414,420,435,443,453,607,614,619,630,636,644,658,665,675,681,689,700,709,719,720,731,744,746,759,770,779,780,794,804,809,818,828,835,840,855,862,872,874,890,892,907,913,921,930,936,942,951,962,970,981,985,996,1006,1011,1027,1031,1036,1051,1057,1066,1078,1080,1094,1101,1108,1117,1130,1136,1139,1148,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,25,42,50,52,66,72,81,91,95,108,118,127,136,144,152,159,164,172,202,320,328,336,348,356,368,374,382,388,402,404,415,420,437,440,600,604,612,622,629,638,649,652,660,677,680,691,695,707,719,724,733,741,746,762,764,778,786,794,799,806,816,828,839,847,848,863,865,878,883,892,901,910,923,925,941,945,957,964,969,982,990,997,1005,1011,1020,1029,1043,1047,1061,1062,1074,1080,1090,1102,1106,1120,1126,1134,1140,1152,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,18,31,42,43,58,66,73,77,89,99,109,112,120,129,144,150,161,169,171,315,320,334,338,350,359,362,377,386,388,400,407,417,426,433,442,469,602,614,624,631,636,652,657,666,670,685,694,697,703,719,722,733,738,753,759,768,779,785,796,805,807,821,825,832,848,849,865,868,875,884,895,907,912,922,930,939,946,955,959,969,984,991,1002,1003,1013,1021,1035,1042,1048,1054,1068,1072,1084,1090,1104,1113,1114,1122,1130,1146,1149,1162,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,26,40,47,54,63,69,81,88,97,105,116,126,135,140,149,160,162,170,314,320,332,342,351,360,361,372,378,389,396,410,417,424,432,446,598,606,615,623,633,636,647,655,662,670,682,690,694,707,716,723,735,742,747,757,763,779,788,790,800,808,818,827,837,842,851,860,873,875,886,898,905,914,920,931,939,949,951,961,974,979,989,999,1005,1012,1019,1034,1036,1047,1059,1069,1071,1086,1094,1102,1104,1120,1129,1131,1143,1155,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,33,35,44,59,62,71,79,93,94,110,119,124,132,139,145,154,169,172,316,326,333,341,349,355,365,376,378,389,398,411,417,427,435,442,455,604,612,624,629,635,648,656,662,671,685,689,695,710,714,725,733,742,748,758,765,776,782,795,803,807,820,831,839,846,851,861,872,878,884,896,899,910,921,933,934,943,955,964,968,981,989,1001,1004,1013,1019,1032,1039,1046,1055,1065,1077,1081,1089,1104,1110,1120,1123,1135,1145,1148,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,26,41,49,57,60,74,79,92,98,110,118,128,135,140,146,156,169,172,315,319,327,341,345,354,362,370,379,388,399,410,414,427,430,442,452,605,613,618,634,640,649,656,668,677,680,690,698,709,715,725,735,742,752,761,767,778,788,792,798,806,822,823,833,840,856,860,872,877,887,895,906,916,917,931,938,949,955,961,972,980,987,1002,1008,1015,1027,1030,1037,1052,1059,1066,1074,1082,1095,1098,1106,1121,1125,1137,1143,1153,1161,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,23,26,35,48,57,67,75,83,92,100,106,116,124,129,138,151,155,162,175,183,323,332,342,345,356,361,374,383,390,398,408,414,428,434,443,600,609,614,618,629,640,650,654,663,673,679,690,698,705,714,724,729,745,751,762,767,774,782,796,799,813,818,827,833,847,855,858,865,878,885,897,900,913,919,933,937,946,959,967,970,978,987,994,1002,1014,1021,1033,1037,1045,1057,1067,1076,1082,1088,1103,1110,1117,1123,1130,1141,1152,1160,1168,1175	1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,14,21,26,39,48,58,67,70,77,92,100,107,114,122,131,144,151,154,166,177,314,326,335,340,348,359,363,374,380,389,400,403,413,423,436,443,596,606,614,618,631,638,644,655,661,672,683,694,697,706,720,721,734,745,746,760,767,775,783,793,802,809,816,826,839,847,851,858,865,880,889,893,901,911,917,929,939,943,953,967,970,979,986,997,1003,1016,1019,1035,1039,1049,1053,1063,1075,1082,1088,1097,1108,1120,1128,1135,1140,1155,1158,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,25,42,46,52,62,70,78,85,101,107,116,126,136,144,148,159,165,178,313,323,334,337,350,358,367,370,382,392,400,405,419,428,431,439,600,604,612,621,630,635,649,657,668,672,680,690,694,711,717,728,734,745,750,762,768,780,784,797,798,808,817,825,838,845,856,859,868,876,890,896,901,908,925,928,940,948,952,963,976,983,990,999,1004,1014,1024,1033,1042,1053,1055,1062,1071,1086,1090,1096,1105,1114,1123,1130,1143,1149,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,30,42,48,58,59,74,81,85,95,107,116,125,130,137,145,161,170,171,314,324,329,340,346,353,365,372,378,394,398,411,418,423,436,440,596,606,613,620,627,635,645,660,665,675,685,686,697,710,714,727,736,741,753,755,766,772,786,791,805,806,820,826,837,847,854,863,873,876,888,897,901,911,919,927,935,945,955,965,971,982,991,996,1009,1018,1022,1032,1038,1052,1054,1068,1074,1083,1090,1103,1105,1114,1122,1133,1139,1150,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,17,30,41,43,51,63,73,77,85,93,103,111,125,131,144,147,155,168,174,313,323,328,343,349,355,367,372,383,388,396,409,416,426,433,443,469,606,614,625,629,637,647,654,663,675,683,694,697,709,720,727,734,745,754,755,764,779,781,790,797,812,820,829,836,847,855,864,871,877,885,898,906,911,920,931,940,949,956,963,975,982,993,997,1004,1018,1027,1035,1041,1051,1055,1063,1072,1080,1090,1102,1105,1119,1125,1136,1144,1152,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,26,36,44,56,62,72,79,91,102,109,116,123,130,138,152,156,166,175,317,322,328,339,349,360,365,373,385,393,396,405,415,426,435,444,462,601,614,622,626,635,649,653,661,675,679,693,695,703,716,722,736,741,754,757,766,776,782,790,804,808,814,828,836,841,850,859,867,881,890,899,902,909,923,928,941,950,953,965,969,978,987,996,1010,1014,1021,1034,1040,1046,1053,1064,1073,1082,1093,1102,1105,1115,1124,1135,1140,1150,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,33,37,45,52,67,76,82,91,94,109,114,119,128,137,152,158,163,172,317,324,335,341,350,352,362,375,382,391,402,410,412,428,437,444,447,608,612,619,629,640,651,654,662,673,678,687,700,710,712,725,733,738,750,760,765,777,786,791,801,813,822,829,833,847,849,861,871,874,889,894,908,909,919,933,936,947,953,966,973,977,988,999,1003,1013,1024,1033,1038,1047,1057,1063,1070,1081,1088,1102,1110,1114,1130,1138,1140,1155,1164,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,32,42,46,57,65,75,80,90,97,110,112,119,134,137,147,157,167,175,315,319,332,343,349,356,369,377,378,390,397,406,413,425,436,439,600,601,614,619,626,637,648,656,664,675,685,687,702,709,718,721,737,739,750,758,765,771,788,797,803,808,817,828,836,841,856,863,869,881,883,894,901,916,923,929,934,944,953,960,974,978,986,996,1003,1015,1024,1034,1040,1052,1061,1063,1072,1084,1089,1098,1107,1114,1125,1134,1143,1155,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,30,36,44,54,62,76,84,89,100,110,118,124,134,139,147,154,169,176,318,320,328,341,346,355,361,375,381,388,395,409,413,426,435,441,462,602,609,620,630,642,651,657,669,676,680,686,703,709,719,723,733,739,753,754,769,778,784,795,805,809,821,828,833,847,850,864,871,879,889,899,904,916,920,930,942,950,959,962,976,981,991,996,1007,1011,1020,1028,1038,1051,1057,1062,1077,1080,1088,1100,1108,1116,1127,1135,1141,1149,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,20,28,41,46,57,65,75,85,92,100,106,116,119,136,139,148,161,165,179,313,323,328,336,348,354,368,376,384,390,403,405,419,425,430,439,469,606,611,618,627,636,649,653,665,675,683,694,702,708,716,728,730,745,751,761,768,779,788,793,803,810,822,827,836,843,853,864,866,877,890,895,904,915,919,931,934,949,956,967,973,984,992,996,1005,1013,1022,1032,1040,1052,1059,1062,1076,1082,1092,1096,1108,1115,1122,1133,1143,1154,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,23,29,35,46,55,67,76,77,87,98,105,118,124,131,138,145,161,166,173,314,324,329,340,344,356,361,375,383,394,402,411,416,424,429,441,471,606,611,620,628,635,649,654,660,674,682,687,701,709,714,725,729,741,751,760,769,779,785,790,800,808,822,829,839,842,850,857,870,879,886,894,902,910,924,929,941,948,957,962,972,982,987,995,1006,1019,1020,1031,1036,1052,1057,1068,1073,1083,1089,1101,1113,1120,1128,1138,1143,1152,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,21,29,34,44,58,61,68,76,92,94,110,112,126,128,143,148,160,168,171,314,322,332,337,349,358,362,377,380,390,395,412,417,421,436,438,466,607,613,624,633,635,644,656,666,675,679,686,703,710,718,728,731,740,750,761,766,772,784,797,798,809,820,828,838,840,851,865,874,880,889,891,902,915,917,929,935,943,958,959,975,979,986,999,1004,1015,1025,1028,1041,1049,1060,1062,1070,1081,1093,1099,1111,1116,1125,1137,1142,1152,1164,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,28,38,51,52,67,70,82,86,96,105,114,119,135,137,145,162,164,174,315,325,335,336,351,356,367,373,378,394,399,404,420,428,432,442,447,608,610,624,634,636,645,659,664,673,678,690,700,710,717,723,737,743,748,761,770,772,780,795,801,805,815,826,837,845,850,859,867,875,884,895,905,910,920,928,937,948,952,967,969,978,988,1000,1007,1019,1023,1033,1038,1050,1059,1062,1077,1085,1090,1097,1113,1114,1123,1133,1141,1151,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,30,37,46,53,62,72,78,88,95,108,117,119,134,144,147,155,169,171,314,319,335,340,350,360,363,369,384,386,397,405,420,428,435,444,462,604,614,620,629,639,649,655,663,675,678,690,696,708,717,727,730,743,750,756,767,777,782,791,805,807,815,824,835,847,852,862,867,880,884,899,902,915,920,932,935,950,952,964,976,978,990,994,1002,1019,1027,1033,1036,1045,1054,1067,1076,1081,1094,1100,1109,1120,1126,1138,1146,1149,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,9,20,28,40,47,56,63,68,84,86,96,103,117,127,134,141,150,154,163,177,200,325,329,335,344,354,366,373,378,390,401,411,419,426,431,444,455,606,613,621,629,643,648,658,665,671,682,694,696,710,716,725,729,743,751,758,769,774,784,793,800,814,817,826,836,842,853,858,865,879,882,896,906,915,918,929,940,944,958,966,968,979,990,998,1005,1011,1020,1030,1044,1052,1056,1063,1071,1079,1090,1097,1110,1119,1123,1137,1146,1154,1163,1168,1176	1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,19,33,39,48,58,66,71,83,93,99,110,113,126,133,142,150,158,169,177,185,325,334,338,347,360,365,377,379,389,399,405,419,426,432,443,600,606,617,625,632,637,652,660,661,676,679,693,696,705,717,726,735,742,752,754,770,779,783,789,803,808,820,825,833,840,855,863,868,875,887,892,899,914,919,933,937,950,953,963,973,977,988,995,1005,1018,1019,1035,1042,1052,1061,1068,1073,1081,1090,1104,1107,1119,1127,1133,1141,1149,1156,1168,1175	1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,21,32,35,49,51,65,73,85,88,97,107,111,120,132,143,148,157,166,175,193,325,331,337,345,360,364,375,380,392,400,410,417,421,436,439,599,600,611,624,628,641,649,653,663,675,682,688,695,709,712,727,730,744,750,755,764,772,786,789,802,811,819,827,838,842,852,859,870,882,886,896,903,914,920,933,938,944,952,963,973,984,987,995,1007,1016,1024,1030,1040,1050,1059,1062,1075,1082,1096,1100,1105,1115,1130,1131,1139,1155,1157,1166,1174	1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,15,22,25,38,43,57,61,73,83,91,94,103,118,122,130,142,148,154,164,173,183,322,334,335,350,354,368,374,379,387,402,407,416,428,429,438,598,606,617,620,627,639,646,657,667,676,682,686,702,705,712,726,734,741,750,755,765,771,788,793,798,812,818,830,839,841,854,858,868,877,885,892,902,913,919,933,937,948,958,960,968,980,989,1001,1005,1012,1026,1035,1039,1049,1060,1063,1075,1083,1095,1102,1111,1115,1123,1134,1142,1153,1156,1169,1177	1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
8,13,21,25,34,46,58,62,72,85,86,94,104,116,127,133,143,153,162,165,177,189,319,331,342,351,356,363,371,382,387,396,407,415,427,429,438,468,601,613,625,633,638,645,659,668,671,681,692,699,710,712,724,730,739,751,760,767,777,781,790,801,809,814,825,839,847,849,858,867,874,885,893,905,915,918,928,939,943,952,963,968,978,986,1000,1009,1013,1021,1032,1039,1049,1053,1070,1074,1084,1094,1101,1111,1121,1122,1133,1145,1150,1163,1170,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,16,20,30,38,43,59,65,73,78,90,94,103,111,121,128,138,149,158,162,171,182,325,331,335,347,353,363,373,383,390,402,410,419,426,433,438,596,608,610,625,634,639,648,653,661,676,679,692,701,706,717,725,737,741,746,761,767,777,782,796,797,809,815,823,836,844,853,860,866,880,889,894,906,909,920,929,942,949,956,966,974,980,989,998,1007,1017,1025,1030,1036,1045,1057,1065,1074,1081,1095,1100,1109,1120,1123,1130,1144,1153,1157,1170	1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,14,17,26,38,44,59,62,73,79,91,94,104,114,123,130,137,153,156,167,178,181,323,332,339,348,359,367,376,383,387,397,404,420,423,436,439,447,601,615,622,628,642,651,660,668,673,681,689,701,703,714,723,729,737,749,761,764,771,788,793,801,810,821,826,839,844,849,860,871,875,890,893,901,912,925,930,936,946,951,962,972,980,987,1001,1005,1018,1026,1033,1044,1050,1057,1067,1079,1080,1095,1103,1109,1114,1123,1138,1145,1153,1157,1167,1174	0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,11,19,33,42,44,51,60,73,82,92,98,108,113,127,130,139,150,160,165,178,315,323,330,340,347,358,368,377,384,392,399,406,419,426,430,445,600,608,615,618,628,637,652,653,662,673,683,689,699,705,718,722,734,743,746,761,767,777,787,789,801,806,820,831,833,847,855,857,868,876,883,895,905,912,924,933,941,950,955,966,969,977,985,996,1005,1012,1020,1028,1044,1048,1053,1067,1077,1084,1091,1104,1108,1118,1123,1135,1145,1151,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,26,41,47,54,60,74,79,86,101,109,119,120,128,140,152,157,163,174,316,322,334,338,350,354,363,371,385,386,403,409,414,421,431,438,466,602,616,624,633,636,643,658,663,675,685,690,695,706,720,725,733,744,748,755,771,778,780,790,798,811,821,827,838,841,851,863,866,881,884,893,903,910,922,931,939,947,953,962,968,983,993,996,1002,1015,1026,1032,1043,1048,1054,1062,1078,1083,1089,1102,1109,1117,1123,1135,1140,1150,1163,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,20,33,41,50,55,60,68,77,91,100,110,113,124,136,141,152,160,169,179,184,322,333,343,350,358,366,371,385,393,399,404,416,425,436,441,597,607,611,625,626,637,644,658,667,676,682,690,702,711,715,724,735,745,754,761,765,777,786,791,802,813,818,831,838,842,852,865,869,876,888,898,902,916,923,932,935,943,952,963,975,981,992,993,1003,1011,1025,1029,1039,1046,1058,1062,1073,1085,1090,1096,1104,1120,1125,1136,1146,1150,1161,1165,1176	0,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,28,42,49,55,59,73,84,92,97,104,111,125,135,140,151,153,162,173,183,324,332,336,348,356,362,374,383,394,398,404,415,428,432,443,470,603,616,624,632,639,644,653,665,671,686,691,698,709,713,727,731,741,748,762,768,772,788,797,805,809,818,827,839,848,853,858,869,881,887,891,905,909,919,928,940,949,959,967,973,976,988,995,1007,1015,1020,1035,1039,1048,1054,1062,1073,1085,1089,1100,1105,1121,1126,1130,1144,1153,1158,1168,1177	0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,22,27,42,44,52,64,69,83,92,100,102,118,127,133,143,145,160,164,172,186,321,326,336,346,360,363,375,381,389,397,408,419,425,434,441,598,608,614,625,626,635,644,659,661,671,679,694,696,703,712,727,736,743,753,756,766,776,784,792,804,812,821,825,838,843,853,863,869,876,886,897,906,909,920,931,936,949,954,963,974,976,991,996,1004,1011,1023,1035,1040,1050,1060,1068,1074,1087,1092,1103,1106,1115,1129,1135,1139,1151,1158,1164,1173	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,10,24,30,39,47,54,61,70,84,85,94,108,115,127,133,136,145,160,168,171,187,324,328,339,344,356,366,377,382,393,400,406,417,420,436,445,598,604,614,626,629,639,650,654,661,674,680,690,696,708,720,722,735,741,753,762,765,772,785,791,804,807,821,827,833,843,849,859,869,876,884,891,906,912,918,930,941,945,956,962,971,978,991,996,1004,1011,1027,1035,1036,1050,1057,1068,1071,1079,1094,1099,1109,1120,1129,1133,1143,1151,1158,1165,1175	0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,16,22,33,36,44,59,64,71,78,85,98,103,111,126,132,139,146,159,163,173,187,321,330,336,348,356,364,376,378,391,399,406,417,426,429,445,448,603,617,620,627,640,644,655,668,669,684,690,700,708,715,727,731,741,751,757,766,775,781,793,801,808,820,827,839,842,849,857,872,875,885,894,902,912,919,930,940,950,951,966,972,982,990,994,1007,1014,1020,1033,1043,1045,1057,1069,1074,1081,1088,1100,1106,1113,1125,1132,1144,1152,1164,1170,1176	1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,25,26,34,48,54,66,74,83,91,100,106,112,126,128,138,152,159,169,174,317,320,327,336,351,355,368,374,382,395,402,411,415,422,430,440,600,608,616,625,632,637,649,656,662,671,680,687,699,711,712,728,736,743,752,755,769,776,784,792,797,806,819,830,838,844,849,863,870,874,885,894,903,908,924,933,940,949,956,963,972,984,988,994,1006,1014,1026,1028,1040,1048,1059,1066,1077,1087,1091,1096,1110,1121,1123,1133,1139,1154,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,30,38,46,58,60,70,78,93,99,108,114,122,131,142,147,158,166,175,314,325,327,343,348,353,366,377,383,387,397,408,415,423,430,441,599,608,616,618,627,636,651,656,666,672,682,689,698,705,718,724,736,744,751,760,768,773,782,792,799,807,815,830,835,847,855,863,870,876,889,896,902,908,917,929,937,945,955,962,971,976,989,1001,1007,1014,1019,1032,1041,1046,1061,1062,1077,1083,1088,1102,1107,1114,1123,1132,1143,1154,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,27,42,44,58,61,76,82,89,99,109,116,126,135,142,147,155,170,175,314,322,334,338,350,359,368,373,378,394,402,408,419,428,435,440,597,608,610,623,628,641,650,655,666,675,685,693,701,707,719,720,731,738,748,758,764,772,784,796,801,809,821,826,833,846,856,857,868,876,886,896,905,916,920,933,942,943,952,959,970,984,986,996,1008,1014,1020,1032,1038,1053,1056,1066,1075,1087,1093,1098,1112,1117,1127,1135,1144,1155,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,17,20,26,35,49,52,63,69,84,91,96,105,113,122,130,137,150,154,166,177,314,321,332,337,347,357,365,377,380,393,400,407,419,422,430,444,447,606,612,619,628,638,650,657,662,669,682,687,698,708,720,728,731,738,754,762,769,778,788,789,800,810,817,826,832,844,855,859,869,880,885,892,904,916,917,926,936,950,953,960,970,984,990,994,1003,1013,1021,1032,1040,1051,1054,1063,1071,1079,1095,1100,1110,1113,1129,1138,1145,1149,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,20,33,38,43,53,61,74,81,87,101,105,119,126,136,139,146,162,169,170,313,325,335,340,345,358,367,371,379,387,396,406,415,422,435,445,599,603,609,619,631,639,645,656,668,674,680,687,703,704,716,724,736,741,750,755,770,780,788,795,803,813,818,830,832,841,849,861,871,877,889,897,902,913,924,929,937,948,955,966,975,982,988,1001,1003,1013,1024,1028,1039,1053,1060,1063,1074,1083,1089,1104,1107,1117,1129,1135,1139,1149,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,20,30,37,50,52,61,74,78,91,95,107,111,120,135,144,151,156,166,174,315,323,327,338,347,358,363,373,378,391,398,406,416,424,437,441,449,605,610,618,628,637,652,655,667,674,678,692,696,705,718,724,736,738,752,762,763,773,782,794,804,813,817,831,835,845,855,859,868,879,884,893,902,911,919,930,939,943,959,960,975,980,986,998,1006,1014,1024,1031,1041,1052,1055,1069,1070,1082,1095,1099,1108,1113,1126,1136,1140,1148,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,27,38,44,54,63,68,80,91,98,109,112,120,129,140,153,162,166,178,317,322,332,340,346,355,367,376,384,393,399,404,416,425,429,441,448,608,609,618,629,640,648,653,662,674,683,688,697,709,716,726,736,745,750,755,767,778,786,792,801,809,822,830,839,840,854,858,869,880,886,898,900,911,920,928,938,943,957,962,971,976,993,1000,1010,1011,1019,1031,1039,1051,1060,1070,1078,1082,1089,1097,1106,1113,1122,1138,1144,1150,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,17,27,39,43,52,63,69,81,86,94,110,116,123,132,144,149,157,162,177,316,322,327,339,344,355,361,376,382,387,398,409,417,426,433,438,600,609,617,620,633,635,649,660,667,672,678,692,701,706,716,723,736,738,750,755,766,776,784,791,798,811,815,825,832,847,852,857,872,882,887,891,901,916,917,933,937,945,953,964,974,979,988,997,1004,1018,1027,1030,1041,1049,1061,1063,1072,1083,1091,1103,1106,1119,1127,1133,1141,1151,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,21,29,42,46,51,61,70,79,87,95,102,119,121,129,141,147,156,165,177,190,325,329,336,344,353,364,371,379,392,402,411,417,423,431,440,598,608,615,622,634,636,645,652,669,677,683,690,697,710,719,728,732,737,749,760,766,777,786,791,804,809,816,830,834,847,855,859,867,882,884,894,903,910,925,931,938,944,958,963,974,981,989,1001,1008,1014,1025,1034,1041,1049,1057,1063,1071,1087,1094,1104,1110,1119,1129,1137,1145,1147,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,25,27,36,45,56,66,76,77,89,94,110,116,125,135,143,152,161,166,177,315,321,335,340,352,356,365,374,386,393,396,406,414,428,433,443,599,608,614,620,632,635,644,660,666,676,686,693,696,703,718,723,732,739,753,756,767,772,786,792,800,811,818,829,838,840,853,862,867,881,887,891,907,909,920,927,934,948,954,964,973,977,992,998,1004,1017,1025,1030,1040,1051,1053,1064,1076,1080,1088,1098,1111,1113,1128,1136,1146,1153,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,24,29,38,43,56,61,75,85,92,99,105,116,119,128,136,151,160,170,178,314,324,334,336,346,360,361,370,386,389,402,409,413,420,432,443,462,603,616,623,633,641,647,656,661,676,679,690,698,706,715,722,735,739,746,759,769,776,787,796,802,813,815,824,836,843,853,859,866,875,884,894,902,916,920,925,939,943,955,960,974,984,988,1001,1009,1012,1022,1034,1039,1053,1057,1062,1076,1086,1093,1103,1108,1114,1123,1132,1147,1155,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,33,36,49,56,61,75,83,86,97,109,113,127,134,139,147,156,164,174,316,324,334,336,345,357,369,370,379,387,399,410,417,427,434,444,598,603,615,626,629,638,648,656,669,672,685,694,700,703,715,721,736,745,750,756,768,774,785,795,803,809,821,824,838,847,854,865,871,877,887,899,905,908,920,928,942,945,951,964,971,982,991,995,1002,1015,1023,1030,1043,1053,1061,1066,1077,1083,1087,1096,1105,1116,1122,1135,1144,1152,1164,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,26,40,49,59,65,69,79,86,97,104,114,122,133,142,150,155,163,175,315,323,333,339,352,356,366,370,386,393,396,408,412,427,435,442,461,604,609,621,632,641,651,658,665,677,680,693,702,705,716,728,736,738,752,762,767,771,783,789,803,813,821,831,832,846,850,862,868,875,888,896,905,916,919,926,936,943,957,963,975,978,992,995,1006,1012,1021,1035,1038,1047,1054,1070,1071,1082,1090,1099,1108,1120,1128,1135,1145,1152,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,28,36,48,55,61,74,83,86,101,106,116,127,128,143,153,160,167,174,205,319,334,343,352,359,368,377,378,387,396,404,414,424,432,441,599,608,614,625,630,637,648,658,665,672,683,686,696,708,719,722,731,744,754,757,765,775,787,794,804,814,820,830,837,844,855,865,869,881,886,899,904,910,925,928,938,949,959,967,974,981,987,1002,1004,1013,1026,1035,1044,1053,1055,1065,1077,1086,1090,1102,1108,1117,1123,1137,1147,1150,1162,1168	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
8,9,21,34,40,48,55,61,71,84,88,99,108,115,123,132,143,148,158,167,172,316,324,332,342,344,356,363,373,385,394,403,407,417,428,436,445,457,601,617,625,633,643,646,658,666,676,678,694,702,705,719,724,734,744,749,761,771,777,783,794,803,806,820,826,833,843,853,859,867,878,888,892,902,915,922,929,936,945,952,963,973,982,992,1000,1007,1012,1023,1033,1042,1051,1060,1064,1076,1083,1096,1103,1104,1120,1126,1136,1145,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,28,35,46,58,65,73,81,90,96,103,111,127,136,142,151,158,168,173,318,322,334,340,344,359,363,370,380,394,399,410,412,423,433,444,597,601,613,626,628,643,650,654,662,670,681,690,702,705,713,725,735,744,754,757,766,774,782,794,804,806,817,830,839,846,851,859,873,878,885,896,902,911,918,933,935,948,955,961,968,980,986,1001,1002,1015,1020,1031,1042,1053,1062,1065,1076,1087,1090,1100,1105,1116,1129,1137,1141,1151,1157,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,32,37,46,56,61,74,84,89,101,107,117,125,128,141,148,157,163,179,315,320,331,342,345,360,368,377,378,388,398,407,418,425,437,438,597,605,611,623,628,636,645,655,663,669,685,686,696,707,716,724,729,744,749,757,765,774,785,796,801,806,821,826,835,847,853,861,871,876,887,893,906,913,923,927,936,947,951,962,973,976,985,998,1004,1013,1022,1036,1037,1049,1060,1069,1072,1080,1092,1103,1109,1114,1122,1133,1142,1148,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,28,42,44,58,64,73,77,85,100,107,112,123,130,143,148,155,165,171,313,318,328,337,346,353,361,374,384,392,395,408,412,427,430,441,448,606,615,623,628,641,645,659,666,672,681,687,702,707,716,728,733,737,753,761,765,779,780,794,805,812,815,824,836,848,851,864,866,878,882,897,908,914,923,933,939,949,955,964,971,978,989,997,1007,1016,1019,1033,1037,1053,1060,1063,1071,1081,1094,1101,1106,1118,1123,1134,1142,1151,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,18,27,40,50,57,60,75,84,91,99,107,118,124,131,140,151,154,166,177,316,319,329,341,348,354,367,373,379,388,398,404,413,421,434,444,462,607,614,625,631,639,647,653,663,676,678,689,699,705,720,725,737,743,753,759,764,776,782,790,798,808,821,828,839,844,855,865,871,882,883,899,903,916,925,928,937,944,959,967,972,984,988,1000,1004,1010,1020,1029,1038,1046,1058,1065,1070,1086,1093,1104,1109,1113,1128,1137,1140,1147,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,31,35,44,53,65,70,78,89,101,106,114,124,130,143,153,155,170,172,316,326,329,340,349,360,366,371,380,393,401,407,419,421,434,442,599,600,617,625,629,642,650,656,668,677,683,694,696,708,715,720,730,744,754,761,769,775,780,789,804,808,820,828,833,840,853,859,871,875,885,891,900,913,918,932,935,943,958,959,970,980,991,1002,1004,1015,1026,1028,1038,1049,1054,1068,1077,1084,1093,1097,1112,1115,1125,1132,1144,1153,1159,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,27,42,50,52,63,70,77,89,97,107,118,121,132,137,150,159,165,177,315,322,333,335,348,359,364,370,380,388,398,410,416,424,434,438,597,609,615,622,630,637,648,654,667,676,685,693,701,709,718,727,735,744,749,758,765,779,781,795,805,808,815,828,838,841,851,862,867,875,884,891,907,915,921,926,937,944,956,967,974,981,986,994,1003,1014,1022,1034,1040,1053,1060,1062,1071,1087,1094,1104,1107,1116,1125,1132,1139,1155,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,19,26,34,46,55,67,75,80,88,98,106,112,126,130,140,148,159,169,175,314,318,327,339,350,358,366,373,384,395,402,408,416,425,433,439,597,605,611,623,628,639,649,653,668,672,682,691,699,710,718,727,737,740,752,760,771,772,786,791,804,809,822,829,835,844,856,857,866,878,889,894,908,916,925,927,934,946,958,959,974,982,988,1001,1006,1014,1023,1033,1037,1048,1058,1064,1071,1085,1089,1099,1109,1120,1124,1132,1141,1148,1163,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,26,39,43,55,62,70,80,90,99,104,116,126,131,138,147,154,167,175,316,323,331,339,346,353,369,371,383,393,397,408,413,422,432,445,597,601,617,623,631,636,644,659,660,676,682,692,697,706,714,728,731,740,748,757,765,776,783,790,803,809,819,823,832,843,848,857,872,874,889,892,904,916,922,931,942,943,954,966,970,983,992,1001,1006,1013,1024,1028,1038,1047,1059,1066,1070,1085,1095,1099,1109,1116,1122,1135,1141,1155,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,25,35,44,59,64,75,77,88,95,105,114,127,128,139,148,160,168,171,317,325,335,337,344,355,364,369,381,387,402,405,417,429,435,443,599,604,613,619,632,641,648,657,666,673,681,687,699,710,714,722,737,740,750,763,764,773,782,794,801,809,819,824,831,843,855,864,873,880,883,894,906,911,917,930,940,942,951,961,974,977,987,994,1003,1012,1027,1035,1039,1049,1058,1065,1075,1081,1089,1098,1107,1114,1125,1135,1140,1147,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,18,33,38,50,53,62,74,79,92,101,110,119,124,128,141,149,153,164,171,317,320,329,341,349,352,363,374,385,389,398,404,416,424,437,441,599,606,611,622,631,637,651,654,668,671,682,691,695,704,717,724,731,741,753,757,764,778,786,790,803,814,815,825,838,845,850,860,867,880,886,896,900,912,920,929,940,946,951,967,971,978,989,1002,1010,1011,1021,1035,1044,1051,1055,1062,1073,1082,1088,1102,1105,1115,1124,1133,1140,1149,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,29,37,45,55,60,72,84,89,96,109,112,127,132,139,147,160,165,176,313,324,331,340,350,354,361,370,384,387,397,411,412,421,436,443,454,608,615,620,634,641,649,657,663,676,685,687,696,709,714,728,729,745,753,755,767,777,784,794,798,812,818,828,834,843,851,859,869,878,884,898,904,914,920,933,938,949,956,964,969,984,991,999,1005,1014,1022,1035,1043,1047,1061,1065,1071,1082,1090,1099,1111,1118,1127,1135,1142,1154,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,25,28,40,47,55,63,74,77,90,98,108,111,121,132,141,150,156,167,172,186,321,333,335,348,359,369,376,378,387,397,405,412,423,431,445,447,601,613,621,628,637,644,656,668,672,680,692,695,710,714,724,731,742,753,757,771,778,781,793,800,812,821,828,831,842,850,861,867,880,890,895,902,911,919,931,935,946,951,965,971,977,990,998,1008,1013,1025,1030,1040,1047,1056,1064,1075,1086,1088,1099,1105,1115,1127,1138,1147,1152,1157,1167,1174	0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,13,24,27,34,46,57,63,75,78,86,97,104,115,122,131,139,145,154,164,172,181,321,329,343,345,354,365,370,379,388,399,403,416,423,431,440,598,603,615,620,627,641,645,656,667,669,680,689,702,710,717,721,732,744,752,756,771,773,786,793,798,809,822,824,834,840,855,862,866,879,886,895,907,908,924,926,942,948,957,966,969,982,990,998,1004,1016,1023,1032,1039,1047,1060,1068,1078,1086,1088,1100,1106,1113,1123,1134,1143,1151,1158,1165,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,8,18,25,38,51,53,64,73,81,86,97,108,112,126,133,137,149,154,166,178,183,323,327,336,345,354,366,376,384,387,401,406,419,425,429,444,448,608,615,623,629,642,649,656,660,673,679,688,701,705,712,721,736,742,748,756,769,780,783,790,800,806,815,829,832,840,854,863,866,879,887,894,904,911,917,930,941,950,954,967,968,985,987,1001,1008,1017,1027,1035,1044,1049,1055,1066,1072,1086,1095,1104,1106,1116,1122,1137,1141,1148,1159,1169,1178	1,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,18,30,41,43,54,67,70,81,89,95,108,116,121,130,137,152,159,163,173,184,324,329,339,352,354,361,372,379,387,399,410,419,428,437,446,600,606,616,624,630,641,649,658,663,672,679,692,695,709,720,727,737,742,752,760,771,776,785,796,803,807,822,823,838,844,848,860,866,875,891,895,907,914,924,931,935,946,958,965,974,977,986,999,1004,1012,1023,1033,1040,1045,1055,1068,1078,1082,1092,1098,1105,1117,1129,1138,1143,1149,1159,1172,1173	0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,24,29,36,49,57,65,75,77,92,102,105,118,127,129,137,153,157,164,171,187,324,335,338,348,358,361,376,385,392,396,408,414,428,435,439,597,609,612,625,628,639,644,658,667,669,680,692,701,705,713,728,730,743,749,759,771,773,781,793,803,811,822,827,833,842,855,862,869,875,886,897,902,908,917,933,935,948,959,967,971,980,987,998,1007,1016,1022,1031,1036,1050,1055,1070,1071,1081,1095,1097,1105,1119,1129,1131,1146,1154,1164,1167,1178	1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,13,17,29,34,50,56,60,71,78,92,99,103,119,121,133,136,152,161,169,179,183,320,332,336,350,359,361,372,385,390,399,405,416,420,437,443,599,603,614,622,628,639,643,655,661,671,682,690,696,707,712,724,737,743,751,761,768,775,781,796,799,812,820,829,837,846,853,864,867,878,889,897,900,910,917,928,941,948,951,959,976,981,991,995,1009,1012,1024,1030,1038,1053,1060,1066,1071,1083,1087,1100,1107,1121,1125,1131,1143,1148,1156,1171	1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
1,15,23,29,40,47,53,68,72,83,91,94,109,113,121,134,139,147,161,164,171,180,322,327,341,345,355,365,373,384,392,400,410,416,424,432,442,463,606,616,624,628,640,645,660,666,674,678,691,695,704,717,727,731,745,752,760,770,776,786,797,804,807,818,825,839,843,850,859,866,874,891,892,902,914,922,927,937,947,957,961,973,982,988,996,1006,1017,1026,1036,1039,1052,1055,1068,1072,1086,1093,1099,1108,1116,1130,1135,1145,1154,1159,1164	1,0,1,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,20,27,35,51,54,59,72,83,88,97,107,118,128,130,141,148,156,166,177,186,323,333,340,351,360,369,373,378,388,402,410,417,427,436,444,600,602,616,620,628,635,650,653,661,675,679,691,699,709,715,722,733,744,753,760,764,779,780,789,799,812,819,828,831,846,854,859,873,879,885,893,906,916,921,931,940,949,954,967,976,980,990,997,1002,1018,1025,1031,1040,1051,1056,1066,1071,1084,1088,1099,1108,1120,1125,1133,1147,1153,1156,1171,1176	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,23,28,41,47,53,64,75,76,87,94,108,114,126,131,139,148,154,164,173,313,319,334,342,347,356,365,370,380,389,398,409,415,427,430,444,596,602,614,619,628,636,650,659,661,676,683,688,701,706,719,726,729,745,746,761,770,773,786,791,803,813,815,827,834,848,850,864,873,881,882,896,901,909,925,932,940,946,952,960,971,985,988,997,1008,1012,1020,1034,1039,1047,1057,1063,1076,1085,1090,1102,1111,1115,1124,1133,1140,1147,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,26,35,48,56,66,69,77,90,94,110,111,127,134,141,148,154,162,171,184,324,332,339,347,357,362,377,384,389,396,410,419,421,431,438,449,609,612,621,632,637,645,653,664,677,684,689,701,711,716,720,732,742,747,762,766,774,785,796,800,807,821,829,832,847,851,862,869,878,888,897,903,911,924,932,940,943,955,961,971,981,985,997,1010,1014,1024,1033,1044,1051,1058,1067,1075,1086,1093,1100,1108,1116,1126,1133,1140,1155,1162,1171,1177	0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,20,33,37,44,56,68,69,79,92,97,108,113,125,134,138,145,154,168,175,183,320,329,339,348,355,365,377,384,392,397,409,418,421,436,439,458,604,613,619,627,643,651,659,663,675,681,693,699,711,713,726,734,742,748,758,765,772,787,796,797,810,819,829,839,840,850,857,868,878,886,892,904,912,918,926,935,945,953,962,972,983,988,1002,1009,1017,1020,1029,1039,1046,1055,1066,1071,1084,1095,1098,1113,1117,1126,1135,1140,1153,1164,1169,1173	1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,21,29,36,50,57,62,76,81,89,96,103,113,125,133,138,148,160,168,172,192,324,331,336,344,352,364,375,378,392,395,405,415,425,436,445,599,609,614,626,627,641,648,657,665,671,684,692,697,710,717,722,732,742,746,755,764,774,788,794,804,814,815,826,837,845,855,863,866,875,885,897,904,914,916,926,941,947,951,966,974,981,985,995,1010,1018,1021,1029,1043,1047,1054,1069,1072,1085,1094,1097,1112,1119,1126,1136,1146,1156,1163,1166,1175	1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,24,30,41,50,56,66,71,83,93,99,108,114,121,131,144,148,155,168,174,181,319,331,336,349,353,364,377,386,387,401,403,414,425,433,438,600,606,611,623,627,642,645,657,667,670,684,686,697,709,714,726,729,743,746,754,769,777,782,792,797,809,820,830,834,841,851,859,866,877,882,893,902,910,920,926,939,945,952,959,970,984,988,996,1009,1013,1021,1036,1041,1046,1058,1063,1075,1084,1088,1104,1110,1118,1126,1137,1141,1151,1164,1167,1175	1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,22,27,36,49,51,60,69,80,92,97,110,118,125,132,137,152,159,162,171,190,325,332,343,347,353,363,372,380,393,402,411,413,426,433,445,463,604,616,624,629,640,646,653,661,673,685,693,697,709,716,721,735,739,751,754,767,776,781,790,805,808,815,826,833,844,855,859,873,878,890,891,907,912,923,925,935,942,958,966,970,982,987,1001,1002,1017,1021,1035,1041,1048,1054,1069,1073,1081,1089,1100,1111,1117,1128,1133,1139,1151,1158,1172,1177	1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0
1,13,19,32,36,43,52,65,74,79,87,95,110,114,123,133,138,148,161,162,176,183,318,326,338,346,357,362,372,379,393,403,410,413,424,429,444,468,606,609,623,633,643,651,660,668,675,680,690,698,706,716,723,730,742,746,755,769,776,783,796,800,808,818,825,839,848,851,863,873,880,889,896,906,913,921,932,934,947,955,968,976,979,987,996,1004,1011,1020,1034,1040,1048,1058,1065,1071,1083,1091,1098,1107,1117,1129,1136,1139,1149,1156,1171,1176	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,19,30,35,44,54,68,73,77,88,95,105,111,124,130,142,147,158,165,179,314,326,327,336,344,353,364,375,380,390,396,411,412,427,433,444,466,607,612,624,630,637,647,656,664,672,678,687,703,704,713,721,731,742,752,763,765,775,788,793,798,814,818,824,833,847,852,862,868,877,888,893,900,912,920,931,940,944,956,960,970,981,990,1001,1004,1017,1019,1028,1037,1052,1053,1067,1076,1082,1088,1099,1107,1120,1124,1130,1139,1148,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,23,31,41,43,57,60,74,77,93,99,109,116,120,130,137,152,157,164,175,317,320,327,342,347,354,361,375,381,390,396,404,416,421,435,445,596,606,614,618,633,636,651,657,662,674,685,692,695,711,713,727,736,742,746,762,768,779,781,797,804,813,817,829,833,846,855,861,873,875,890,898,900,908,925,931,940,945,953,959,973,976,993,995,1006,1011,1026,1028,1043,1050,1056,1063,1078,1079,1094,1101,1112,1121,1125,1138,1144,1154,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,30,41,47,53,59,76,80,91,95,110,114,122,129,145,146,162,164,173,313,321,331,343,348,353,368,374,383,387,398,410,413,429,435,444,469,605,617,624,632,635,645,657,663,675,681,694,697,706,713,723,736,743,746,755,764,776,787,789,803,813,818,824,831,847,852,863,870,874,883,894,906,913,924,928,935,950,956,963,969,977,986,1000,1002,1014,1020,1035,1037,1047,1055,1068,1074,1080,1090,1100,1105,1114,1130,1131,1140,1154,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,19,27,35,49,52,66,73,81,92,100,108,111,124,129,140,148,153,163,175,315,323,331,336,347,355,366,373,382,386,398,406,419,423,430,444,599,608,612,623,634,643,648,656,668,673,685,689,700,709,717,727,733,739,751,754,766,774,782,796,802,806,816,824,838,844,852,861,868,874,883,896,903,911,919,929,938,950,959,964,971,984,992,994,1007,1017,1026,1031,1037,1053,1061,1068,1077,1081,1093,1101,1110,1118,1122,1138,1140,1147,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,31,36,47,52,65,76,77,91,94,102,114,121,136,137,152,160,167,172,317,325,333,337,350,357,367,377,380,394,399,403,412,428,434,445,600,603,612,619,631,641,648,656,662,669,680,687,702,708,712,727,735,737,750,758,767,776,788,796,803,811,822,824,833,848,853,861,868,876,887,891,902,913,921,930,940,950,951,960,970,979,986,997,1002,1012,1026,1034,1040,1053,1057,1064,1070,1087,1093,1104,1111,1121,1125,1131,1139,1148,1156,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,24,30,37,47,52,64,76,77,91,94,105,116,126,131,143,147,153,170,173,314,324,327,336,350,356,366,377,380,388,400,405,419,422,431,442,598,601,616,621,634,640,650,658,666,671,679,693,701,706,713,723,731,742,751,760,764,773,782,796,803,810,822,823,832,845,850,858,870,880,884,894,908,910,920,932,940,949,956,964,973,979,990,997,1009,1017,1027,1036,1041,1051,1061,1062,1072,1080,1091,1102,1110,1121,1125,1131,1141,1154,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,32,34,46,55,62,71,78,88,99,103,117,126,133,141,145,157,167,173,313,322,333,342,344,359,363,374,384,392,395,409,417,423,435,442,596,607,617,624,627,640,646,660,663,677,681,689,701,711,720,726,735,739,751,763,769,773,785,793,800,808,815,828,839,845,850,862,872,879,889,892,901,908,919,932,936,949,955,965,972,980,990,1001,1007,1018,1019,1028,1036,1052,1054,1063,1073,1081,1095,1104,1108,1114,1123,1137,1140,1153,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,27,37,46,52,60,74,80,91,96,107,119,125,131,136,146,155,165,175,313,324,329,335,346,358,367,372,385,390,398,408,414,426,430,443,450,608,613,623,629,642,645,657,669,673,685,692,701,708,720,725,735,740,749,757,766,774,782,789,799,813,822,823,831,846,856,863,869,881,885,891,904,909,922,931,940,944,959,962,971,982,989,993,1004,1016,1024,1028,1044,1052,1054,1063,1072,1081,1092,1100,1110,1115,1122,1138,1146,1155,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,33,36,48,59,62,70,80,93,100,103,111,126,128,141,150,155,166,178,183,324,334,339,348,359,361,376,384,392,399,406,418,424,435,439,599,605,617,620,628,636,648,654,663,674,681,686,701,707,712,724,734,742,750,762,768,773,784,795,798,807,816,826,832,847,849,860,868,877,888,893,900,909,922,931,937,948,959,965,974,980,985,996,1006,1014,1021,1031,1038,1045,1059,1064,1079,1083,1090,1102,1110,1114,1122,1131,1143,1151,1157,1170,1175	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
2,12,24,27,34,45,58,64,71,84,89,95,108,118,121,134,143,148,160,164,176,314,321,331,336,348,357,362,375,378,389,395,404,414,426,435,439,597,603,615,621,630,635,646,656,667,676,686,694,701,706,716,722,729,741,753,760,770,773,787,791,805,808,816,829,834,846,850,863,873,874,884,895,902,910,919,925,941,948,953,960,970,977,989,996,1004,1011,1023,1033,1040,1052,1054,1064,1073,1085,1094,1104,1112,1117,1127,1134,1147,1150,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,31,35,45,51,61,71,84,88,101,107,112,123,128,139,149,155,165,174,315,318,328,336,350,357,366,374,382,390,401,406,419,425,437,442,597,609,610,618,634,637,650,652,665,673,683,692,697,711,718,728,729,741,750,759,764,776,783,796,798,808,821,827,832,844,849,862,873,874,885,893,906,914,923,928,936,949,958,967,972,982,988,997,1007,1015,1026,1036,1042,1046,1053,1063,1078,1086,1091,1098,1111,1120,1129,1132,1141,1151,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,33,35,47,56,63,73,84,86,94,107,115,127,135,144,147,160,164,171,315,318,332,340,350,353,367,376,382,389,396,407,414,423,429,444,597,607,617,625,631,638,650,658,661,670,679,689,698,709,715,727,735,743,748,755,768,779,786,792,802,812,820,824,834,844,855,865,872,879,885,899,907,915,923,930,936,950,959,964,972,979,991,1001,1009,1014,1023,1029,1039,1047,1055,1065,1078,1085,1095,1099,1109,1121,1122,1133,1147,1152,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,32,36,50,58,66,72,81,90,99,110,112,119,130,143,147,159,162,176,315,319,335,342,347,356,366,378,385,389,400,408,415,426,436,443,468,601,611,618,629,641,649,658,663,669,677,693,703,711,717,722,736,745,749,758,767,776,784,791,800,814,819,831,837,846,848,863,871,875,888,898,900,914,923,931,938,948,953,959,971,980,986,996,1004,1017,1022,1029,1042,1046,1059,1064,1075,1086,1088,1103,1108,1120,1123,1130,1144,1154,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,30,37,47,56,67,72,80,90,101,109,113,121,135,144,147,156,167,178,186,322,328,340,352,356,363,371,383,394,403,409,418,423,434,443,457,604,611,626,631,640,646,656,664,675,681,692,700,709,719,724,731,739,754,757,765,775,781,794,804,812,819,829,831,840,854,862,866,877,885,894,904,913,919,928,938,947,952,960,970,983,990,1001,1004,1018,1027,1028,1036,1048,1056,1067,1078,1086,1088,1104,1106,1113,1126,1132,1140,1148,1157,1167,1173	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,14,22,30,37,47,59,62,70,80,88,102,107,112,120,130,137,145,161,162,175,316,326,330,339,348,352,367,373,385,387,397,407,416,429,435,443,448,607,611,618,626,641,647,652,661,677,680,690,696,707,714,725,735,741,747,756,766,778,788,789,799,806,815,831,836,848,852,864,866,878,885,892,901,909,924,926,936,944,958,965,976,981,986,1000,1003,1011,1022,1034,1044,1046,1062,1070,1075,1081,1091,1104,1110,1118,1127,1133,1142,1153,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,30,39,44,59,60,69,81,85,95,104,118,126,132,138,150,161,166,178,313,324,328,343,350,359,364,377,384,393,397,407,417,428,435,440,465,607,614,624,632,641,643,656,668,674,678,688,699,707,712,727,731,741,753,760,763,777,782,796,805,814,816,823,833,848,855,858,870,874,885,891,905,916,919,929,940,948,956,966,970,983,989,1000,1008,1016,1020,1030,1042,1045,1057,1067,1074,1086,1096,1103,1110,1118,1128,1132,1141,1150,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,31,37,50,52,61,76,80,90,100,109,111,127,134,139,145,159,164,171,314,320,332,335,344,356,367,371,384,391,399,411,415,423,436,445,470,601,610,620,628,639,643,658,667,670,686,694,698,711,716,728,736,739,751,757,770,774,784,792,802,811,821,827,835,841,848,862,867,880,884,898,908,913,922,925,942,949,952,968,974,978,992,996,1009,1014,1027,1033,1043,1045,1059,1069,1076,1081,1095,1098,1108,1120,1126,1138,1143,1152,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,20,25,40,48,53,67,71,79,93,94,110,113,120,129,137,151,160,167,173,315,326,327,338,351,360,361,371,379,391,402,407,418,425,436,438,468,608,618,619,629,637,649,653,661,674,681,687,695,709,716,725,731,743,752,756,766,778,786,791,797,811,816,827,838,846,851,863,872,881,886,895,904,915,923,931,936,946,953,960,970,978,993,998,1002,1015,1020,1033,1038,1052,1060,1065,1071,1083,1095,1101,1105,1118,1128,1131,1142,1149,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,26,42,46,54,62,72,79,92,101,108,114,122,129,137,146,156,166,171,317,319,333,337,347,356,368,371,378,393,397,404,415,422,430,444,471,601,610,619,626,642,648,653,660,676,678,690,698,707,716,724,736,740,751,756,770,779,784,795,804,810,819,828,832,845,851,858,866,875,883,893,902,916,920,931,939,951,952,967,974,983,993,997,1006,1018,1023,1033,1041,1046,1060,1068,1071,1080,1088,1098,1110,1117,1123,1132,1140,1153,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,32,41,46,58,66,75,84,92,94,109,117,120,135,139,147,160,164,178,315,326,330,336,352,359,369,371,378,390,402,408,418,423,434,442,598,608,616,625,629,637,646,655,661,673,678,686,701,708,713,728,731,745,754,757,763,773,786,789,803,809,816,827,833,847,852,859,872,879,889,895,903,911,924,930,940,944,953,960,972,982,987,997,1009,1018,1023,1033,1041,1047,1056,1068,1076,1083,1094,1099,1112,1114,1126,1134,1139,1154,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,33,35,48,59,65,73,84,88,101,106,117,126,131,140,147,155,163,171,316,321,334,340,344,360,363,374,379,386,396,407,416,426,437,441,463,605,617,619,629,640,651,656,668,669,685,691,696,706,719,722,736,740,754,760,768,772,786,793,802,809,822,830,836,842,850,857,865,874,884,893,907,914,923,925,934,949,958,966,976,984,993,995,1004,1014,1021,1034,1039,1048,1053,1064,1070,1086,1088,1097,1104,1115,1130,1131,1145,1151,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,18,29,39,47,57,61,71,84,93,94,105,117,120,130,137,150,158,170,172,317,320,330,340,344,355,362,377,383,387,401,406,418,425,436,444,448,606,614,623,631,637,644,655,664,672,682,694,701,711,713,728,733,743,749,760,768,773,787,796,802,810,815,830,834,840,851,858,867,876,883,898,906,912,919,933,936,947,952,965,969,981,991,1000,1007,1014,1019,1030,1038,1046,1056,1063,1072,1085,1089,1099,1104,1114,1123,1134,1139,1153,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,30,38,48,54,66,71,83,87,97,107,114,125,129,138,147,158,163,173,317,319,334,340,345,356,364,375,386,387,396,411,414,423,432,443,598,603,617,620,631,637,648,659,660,673,683,688,701,704,715,722,733,740,752,757,771,779,783,796,801,810,822,829,836,842,852,859,867,882,890,898,901,914,925,927,939,949,956,961,975,982,988,1001,1006,1015,1025,1031,1043,1047,1057,1065,1074,1087,1093,1100,1112,1119,1129,1138,1140,1153,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,28,38,47,55,63,70,85,92,95,106,118,123,134,142,150,153,164,176,316,319,327,339,344,358,366,370,383,390,399,410,415,428,429,439,468,605,613,625,629,636,645,659,668,670,684,687,700,708,714,728,735,739,753,760,769,774,785,791,804,812,819,824,838,844,854,857,865,880,883,895,899,910,923,931,940,944,952,963,976,982,987,1001,1009,1018,1020,1032,1040,1046,1060,1068,1076,1087,1095,1098,1108,1120,1123,1137,1142,1155,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,32,37,44,54,67,71,84,93,102,104,119,122,129,138,151,154,163,173,314,319,328,343,348,358,361,371,384,392,401,406,414,424,434,442,462,604,616,618,631,643,645,657,665,672,678,688,698,711,713,722,736,742,748,756,764,776,785,795,802,811,816,826,835,846,849,863,873,880,890,896,900,912,922,929,938,947,957,960,971,984,989,1001,1006,1018,1020,1030,1041,1046,1055,1068,1070,1085,1093,1100,1105,1115,1122,1131,1146,1151,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,21,31,42,49,58,60,71,84,93,94,109,116,122,135,140,147,158,168,178,313,324,327,339,346,354,364,377,381,395,397,407,419,421,437,441,600,602,617,623,634,640,648,658,664,670,678,691,701,704,719,725,732,743,753,757,766,775,784,794,803,806,815,830,839,846,850,862,871,880,883,894,907,912,916,933,935,950,953,961,975,985,987,1001,1002,1018,1020,1030,1042,1046,1060,1067,1077,1084,1090,1102,1113,1116,1129,1132,1139,1154,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,26,41,43,52,67,74,84,87,94,106,118,122,135,141,148,159,164,171,180,321,330,336,351,359,369,371,385,390,399,406,414,428,432,439,596,606,617,620,634,635,647,658,666,677,679,691,701,710,713,728,736,741,746,757,765,779,786,792,799,810,816,829,839,845,849,860,874,877,888,895,902,908,918,927,934,943,956,965,973,978,985,995,1008,1013,1020,1028,1041,1051,1060,1066,1070,1080,1089,1097,1104,1119,1127,1135,1142,1151,1159,1168,1174	0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
5,16,21,25,36,46,55,66,72,76,90,99,106,113,121,135,138,152,154,170,171,180,323,335,343,344,352,368,370,385,389,397,411,413,427,431,443,599,606,615,623,634,640,643,655,665,671,678,690,694,708,719,722,731,740,748,759,767,778,783,794,805,806,815,830,839,844,849,865,869,881,889,893,903,915,925,928,939,951,954,964,974,979,989,994,1007,1017,1025,1036,1037,1045,1061,1069,1078,1084,1090,1103,1106,1118,1123,1132,1146,1149,1156,1169,1176	0,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,12,22,34,35,45,54,67,74,78,88,101,108,113,125,135,142,146,158,169,178,181,326,328,340,347,352,363,377,382,393,396,406,413,422,432,439,599,605,615,622,628,635,644,657,664,673,683,692,702,710,712,725,731,744,754,756,763,778,780,796,802,812,822,831,839,846,852,863,873,874,886,895,902,910,923,928,939,949,952,963,972,980,986,1000,1002,1016,1026,1031,1038,1050,1061,1065,1078,1080,1089,1102,1108,1118,1124,1131,1142,1148,1159,1169,1173	1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,9,17,28,40,50,55,60,72,77,90,99,102,116,127,131,140,152,159,163,172,180,319,329,335,343,358,362,377,386,391,400,405,417,421,435,438,600,604,610,618,628,635,650,659,663,676,681,688,697,711,713,726,730,744,751,761,768,777,785,791,805,812,818,827,839,844,854,863,868,877,883,897,907,912,924,930,941,946,953,967,972,979,992,999,1006,1016,1024,1035,1043,1050,1056,1063,1076,1081,1091,1096,1111,1116,1126,1133,1140,1149,1161,1166	0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,21,30,38,43,54,63,74,81,90,97,103,116,121,131,144,150,159,168,171,179,323,330,341,344,359,366,375,385,392,399,406,415,425,435,439,596,609,611,625,632,635,647,660,668,673,678,687,695,704,713,724,729,741,750,762,769,778,783,794,803,813,816,828,834,843,853,860,872,881,889,896,907,912,924,925,940,945,953,962,971,980,987,1000,1009,1015,1026,1028,1037,1053,1061,1064,1073,1084,1090,1102,1111,1115,1123,1136,1141,1153,1157,1167,1178	0,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,17,25,29,39,44,53,67,75,80,91,96,106,118,125,130,136,147,158,162,172,186,323,334,341,348,355,362,371,378,387,401,404,419,425,434,444,599,603,615,623,629,638,646,654,667,673,686,690,699,711,712,722,736,739,754,755,764,772,787,795,797,813,820,827,836,842,850,857,868,879,886,896,903,913,917,931,934,943,953,960,970,979,992,998,1003,1016,1020,1029,1038,1045,1056,1064,1074,1080,1088,1096,1108,1117,1122,1135,1144,1148,1161,1172,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,11,19,29,39,50,51,67,72,85,90,101,108,117,121,131,138,152,160,163,175,182,322,330,343,351,360,362,376,386,391,402,412,415,423,431,438,598,607,617,621,631,636,643,652,666,676,681,694,702,707,718,724,737,742,753,761,769,778,786,788,799,810,820,827,839,845,856,865,873,874,884,893,900,908,923,927,940,949,952,961,971,976,993,995,1003,1019,1022,1032,1042,1049,1053,1062,1073,1082,1088,1104,1109,1119,1125,1135,1143,1153,1162,1171	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1
6,14,21,28,35,46,54,61,75,81,88,99,103,115,120,135,140,148,157,166,174,180,319,329,335,344,357,362,374,384,389,399,406,412,428,433,440,447,601,614,620,627,639,643,659,667,672,680,690,699,705,719,725,732,739,752,763,766,774,786,789,804,809,819,829,837,841,853,865,871,877,889,899,900,914,923,926,938,946,958,964,972,981,993,994,1005,1015,1025,1028,1042,1049,1059,1065,1073,1079,1087,1099,1104,1117,1124,1133,1143,1155,1158,1165	0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,22,31,34,42,54,60,75,78,90,100,103,112,126,136,141,147,154,163,171,313,323,330,335,351,353,363,373,384,394,399,406,415,421,435,444,596,608,615,626,634,636,649,660,666,672,678,691,700,707,717,727,736,744,750,762,766,773,781,790,801,814,817,823,834,848,850,858,873,882,884,895,905,914,918,928,942,950,955,963,970,982,989,1000,1004,1011,1021,1028,1040,1052,1056,1064,1076,1086,1092,1104,1106,1115,1125,1134,1143,1150,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,21,33,40,44,52,63,75,80,93,101,111,115,121,130,142,149,158,168,174,180,321,331,342,345,354,369,376,379,393,399,404,416,422,434,437,600,609,613,621,631,637,647,658,660,674,681,690,695,708,716,728,729,738,751,762,765,772,782,792,802,806,816,830,838,845,856,858,868,876,887,895,906,910,922,931,935,947,953,965,974,982,986,997,1003,1013,1024,1032,1037,1046,1058,1064,1075,1081,1091,1101,1112,1119,1124,1136,1139,1151,1162,1169	1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,10,17,33,37,47,52,64,71,77,86,101,110,117,122,134,137,148,154,169,172,183,323,331,339,345,353,363,374,381,392,395,411,417,423,436,444,596,609,615,625,627,636,643,655,662,677,679,689,700,711,715,728,730,737,749,758,766,779,785,796,805,806,817,829,837,845,849,860,870,876,884,897,904,912,918,933,941,942,956,961,971,977,986,998,1008,1014,1024,1034,1044,1049,1058,1066,1073,1085,1096,1102,1105,1118,1129,1131,1145,1153,1157,1168,1174	0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,20,30,34,44,58,66,72,83,86,96,106,119,125,132,142,152,158,169,172,182,320,328,342,347,355,365,375,381,390,398,409,419,424,436,442,459,608,612,620,635,637,651,652,662,672,685,694,701,706,719,726,729,738,749,756,771,778,783,795,799,813,822,824,831,846,854,860,865,880,886,894,901,909,922,927,939,942,951,966,973,980,986,993,1006,1011,1020,1029,1038,1045,1057,1064,1071,1083,1090,1099,1106,1118,1128,1137,1146,1148,1158,1172,1174	1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,18,31,41,45,55,63,76,84,91,101,104,117,121,129,138,147,161,169,178,188,326,335,337,348,358,364,374,379,390,400,403,416,427,431,440,600,608,615,620,630,635,645,659,668,669,682,694,698,705,713,721,737,741,750,763,764,773,787,789,805,810,819,827,837,846,851,860,866,874,886,898,901,908,924,925,936,945,955,966,972,978,985,994,1004,1016,1020,1033,1038,1050,1058,1067,1072,1084,1088,1097,1105,1120,1127,1134,1144,1150,1160,1165,1176	1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,21,27,35,50,58,61,69,78,89,98,110,116,125,136,142,150,159,163,171,181,324,332,343,351,352,365,378,380,389,399,410,412,424,431,438,599,603,615,620,630,639,650,657,666,670,685,689,699,704,717,725,736,744,754,757,769,776,784,792,797,806,818,829,834,842,850,859,871,874,883,895,900,914,918,933,934,949,955,961,969,978,989,995,1008,1014,1021,1033,1039,1052,1060,1064,1077,1084,1095,1099,1112,1117,1125,1137,1141,1153,1158,1170,1174	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
1,12,25,28,41,45,58,63,70,84,88,96,108,118,123,133,138,147,157,165,170,197,321,332,336,352,356,368,369,383,390,398,405,415,423,429,444,461,601,615,623,626,636,649,659,667,670,677,688,696,708,713,723,729,743,749,754,767,772,784,795,803,814,822,824,838,846,856,857,871,876,886,898,907,911,920,929,936,950,959,967,970,985,987,998,1009,1016,1022,1035,1038,1047,1061,1070,1072,1080,1094,1099,1105,1114,1121,1135,1140,1153,1163,1173,1178	1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
2,16,21,32,36,49,55,59,72,79,89,94,110,115,126,132,141,151,161,165,172,313,319,335,342,344,360,361,371,381,389,400,412,413,423,435,442,449,608,612,622,627,638,645,655,665,677,680,687,699,705,719,727,730,745,748,761,763,778,781,797,805,813,814,825,838,841,851,862,867,878,884,896,904,916,918,931,941,948,958,964,971,979,991,1001,1010,1017,1027,1032,1037,1052,1061,1063,1074,1086,1088,1098,1106,1117,1130,1137,1146,1153,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,26,35,44,51,64,75,78,87,94,110,114,127,133,138,146,160,165,178,316,325,327,343,345,354,363,374,382,387,396,406,416,427,437,438,600,601,615,620,629,642,649,656,665,672,681,693,698,707,719,720,733,738,751,760,763,775,782,792,798,807,815,828,836,840,852,857,871,874,887,893,901,911,923,929,939,950,955,967,969,980,993,996,1005,1014,1027,1034,1044,1052,1058,1067,1071,1080,1088,1097,1107,1116,1123,1136,1145,1153,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,33,41,49,55,66,72,81,91,95,104,119,127,128,139,147,157,170,175,316,318,327,336,347,354,364,374,386,389,399,407,415,423,431,440,597,601,611,624,633,640,650,654,660,671,680,688,698,709,718,724,730,744,750,759,768,771,785,791,800,808,822,830,839,840,848,864,869,874,890,897,900,916,917,932,938,949,956,967,971,984,993,994,1009,1013,1020,1031,1043,1047,1057,1070,1072,1082,1091,1100,1107,1115,1130,1136,1141,1149,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,25,33,41,43,56,61,75,81,91,95,107,118,127,134,141,148,158,168,171,315,321,327,341,349,356,366,370,378,391,402,405,417,422,434,446,597,608,613,625,627,638,644,656,661,674,684,688,697,710,713,727,729,741,749,755,765,777,786,793,799,811,817,830,836,843,851,862,871,881,889,894,903,913,918,930,935,945,959,961,975,983,989,999,1002,1017,1027,1033,1039,1046,1060,1064,1075,1085,1093,1102,1105,1120,1129,1137,1143,1155,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,30,37,46,53,61,75,83,90,95,107,114,122,131,141,147,161,166,176,318,324,327,340,346,352,365,376,384,391,402,407,419,427,434,446,465,606,610,622,633,635,644,655,665,671,681,688,699,709,714,722,731,745,749,757,770,778,782,792,797,805,816,825,837,842,851,860,866,881,885,895,907,914,917,929,937,948,958,960,969,984,985,994,1004,1012,1023,1030,1040,1045,1057,1069,1073,1084,1094,1097,1107,1113,1122,1138,1140,1148,1158,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,25,39,50,58,66,75,81,86,94,103,116,119,136,144,148,155,166,171,313,318,327,341,347,355,367,374,381,387,402,407,420,421,430,445,455,602,611,623,632,641,648,659,668,670,685,686,701,710,714,725,735,743,753,758,767,779,780,795,802,808,820,825,831,843,855,857,871,880,890,892,902,909,918,926,940,945,959,964,971,981,986,998,1005,1015,1027,1029,1036,1049,1058,1065,1071,1080,1089,1104,1110,1121,1129,1134,1145,1149,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,22,31,35,45,55,60,72,79,89,97,106,116,121,135,138,149,158,169,178,314,325,332,339,349,359,362,375,382,394,400,408,414,429,430,439,453,603,612,621,628,638,646,659,660,675,678,689,701,707,720,724,737,741,748,760,770,776,781,795,797,812,822,831,836,847,849,864,871,877,889,896,906,909,921,930,936,944,953,965,971,981,990,998,1005,1016,1019,1034,1044,1047,1058,1062,1078,1081,1093,1102,1109,1113,1127,1135,1139,1148,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,28,39,47,54,59,74,78,86,97,108,115,124,134,142,148,157,162,173,313,322,332,341,350,353,368,372,385,392,401,404,415,427,431,442,598,606,615,625,629,640,646,653,666,674,680,693,697,707,720,723,734,745,753,756,765,776,781,793,798,812,817,828,834,842,854,863,866,880,890,895,901,915,921,926,941,943,954,963,972,980,985,995,1010,1019,1025,1036,1038,1052,1060,1062,1073,1087,1088,1102,1112,1115,1125,1137,1142,1152,1163,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,23,32,42,49,57,62,76,79,93,95,104,117,127,135,138,150,161,170,173,186,325,327,338,348,357,367,369,385,395,401,406,417,429,437,440,468,608,616,624,632,641,648,652,663,671,682,692,701,705,718,728,731,740,749,757,768,773,781,790,797,806,819,831,838,840,850,862,867,880,886,899,902,909,924,933,939,945,954,962,970,982,987,998,1010,1018,1027,1032,1043,1048,1060,1065,1072,1081,1092,1096,1108,1114,1129,1135,1141,1153,1158,1169,1176	0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,18,26,35,48,57,67,69,79,90,96,108,114,123,134,141,152,160,170,176,315,323,331,335,345,352,363,371,381,387,396,409,418,423,434,443,598,606,610,620,629,637,649,654,661,671,686,690,700,705,719,726,734,737,750,755,770,776,781,791,805,807,820,825,835,847,852,863,871,877,887,893,902,909,922,926,936,945,953,965,968,979,990,999,1008,1015,1027,1030,1043,1045,1056,1064,1077,1081,1095,1098,1105,1115,1127,1131,1141,1150,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,19,33,39,44,56,66,76,84,86,100,109,116,121,133,143,146,161,165,172,316,319,331,337,351,359,361,370,385,393,397,407,417,425,437,440,598,609,617,618,634,640,644,658,668,675,682,688,695,709,718,724,734,744,750,762,770,776,786,792,801,812,819,827,837,848,854,859,874,879,885,894,908,911,917,926,941,945,955,964,974,977,992,997,1006,1014,1026,1028,1043,1046,1060,1063,1075,1081,1089,1098,1109,1117,1122,1133,1142,1154,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,20,27,35,49,51,65,70,83,85,98,109,115,122,132,138,151,157,164,177,313,320,327,339,346,357,368,373,385,388,402,411,414,429,431,445,471,602,616,620,630,639,647,658,661,677,685,693,697,709,718,723,734,744,748,759,770,774,787,790,798,810,819,824,836,844,856,862,866,874,883,895,905,911,924,925,939,947,958,966,975,979,992,1000,1007,1015,1022,1033,1039,1049,1060,1065,1074,1083,1092,1102,1108,1119,1122,1130,1139,1149,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,33,41,44,56,60,72,77,90,94,104,116,120,135,144,149,159,167,173,313,325,327,339,350,359,361,370,385,394,399,404,415,422,432,444,596,607,617,624,632,638,647,657,667,669,682,686,698,710,712,728,737,741,748,756,771,778,785,794,797,807,817,825,837,844,856,860,872,876,883,892,907,912,916,925,941,949,952,960,969,985,992,994,1006,1012,1025,1030,1037,1048,1061,1063,1076,1086,1092,1096,1105,1116,1124,1130,1140,1154,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,29,37,48,59,63,76,79,85,99,107,111,120,129,141,149,162,166,171,194,325,327,339,346,357,367,373,384,388,398,409,416,427,429,445,597,609,615,620,628,635,649,657,668,671,682,687,700,704,716,724,733,742,752,760,765,776,780,789,804,806,822,824,831,842,852,861,867,881,884,893,901,910,924,926,941,949,957,967,973,980,991,998,1010,1019,1026,1030,1040,1045,1057,1064,1075,1087,1088,1102,1111,1118,1124,1133,1143,1153,1156,1165,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,11,20,30,37,43,58,63,73,85,92,102,108,118,126,134,140,147,161,163,177,314,319,328,340,345,355,366,370,386,394,395,410,417,425,436,444,455,607,611,618,629,635,648,652,662,669,678,694,696,709,717,727,730,739,753,756,765,775,788,797,803,807,817,826,838,846,856,862,869,878,890,897,903,908,924,929,937,949,952,963,973,977,985,997,1006,1013,1022,1031,1041,1050,1056,1065,1072,1086,1087,1097,1107,1120,1124,1135,1146,1148,1156,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,28,38,47,55,62,76,78,89,101,105,115,128,129,141,147,160,168,176,318,320,335,337,346,355,366,371,380,393,402,410,415,426,432,445,598,605,617,620,631,638,645,659,664,675,685,693,702,709,717,726,731,738,752,762,766,776,781,790,805,812,821,826,836,847,849,862,870,879,885,897,904,912,925,933,934,947,957,967,975,984,986,1001,1010,1013,1022,1033,1044,1047,1058,1063,1077,1087,1095,1098,1105,1113,1126,1136,1140,1153,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,31,42,50,52,65,71,83,88,102,104,117,124,134,140,148,159,167,177,313,323,331,336,349,356,365,370,382,391,400,409,414,424,429,445,597,605,612,618,627,635,645,652,660,672,678,692,702,704,718,722,731,742,751,756,767,778,784,791,802,813,816,825,838,840,848,862,871,882,889,893,903,914,922,927,936,944,952,960,969,981,993,999,1003,1018,1020,1029,1044,1047,1060,1067,1072,1087,1092,1099,1105,1120,1127,1132,1139,1153,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,27,37,43,58,64,70,78,90,100,104,114,124,132,143,149,153,165,170,318,324,328,342,350,356,363,372,383,391,403,406,415,427,433,445,596,603,614,618,627,642,650,653,665,673,679,692,697,710,712,722,731,739,750,762,771,772,783,790,801,812,815,831,839,841,849,863,868,879,884,894,900,911,917,933,936,950,958,964,975,983,990,995,1009,1019,1023,1029,1042,1045,1054,1065,1077,1085,1094,1103,1111,1115,1128,1138,1139,1151,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,29,39,44,58,59,74,77,91,95,107,117,119,129,143,152,160,163,172,314,324,328,343,351,353,361,369,381,393,399,408,418,423,431,441,461,605,612,621,628,639,650,660,665,676,683,691,695,704,717,727,730,743,746,760,769,780,788,790,800,812,815,827,835,843,849,860,870,882,890,897,905,911,919,929,941,951,954,961,976,977,990,999,1005,1013,1025,1035,1037,1047,1057,1067,1074,1085,1089,1101,1108,1117,1128,1134,1139,1151,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,25,37,45,51,62,76,79,86,95,109,115,121,130,137,150,153,167,178,317,323,330,339,350,354,368,375,381,386,397,408,418,429,431,441,600,607,616,620,633,640,646,658,668,675,685,689,697,704,719,722,733,745,748,760,769,779,784,789,799,810,821,825,833,841,852,864,873,874,887,899,907,913,925,926,941,949,956,964,973,979,988,996,1007,1013,1020,1033,1041,1052,1057,1066,1074,1080,1093,1099,1106,1121,1124,1135,1146,1155,1159,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,32,35,44,58,61,75,82,93,95,105,118,121,132,141,153,158,170,178,316,325,331,335,344,359,368,369,378,388,402,409,415,427,431,445,468,608,615,624,626,643,645,660,661,671,681,689,696,709,720,723,732,737,753,757,764,779,781,791,798,813,822,829,837,848,852,864,869,877,890,891,902,914,921,933,939,946,957,967,970,983,986,994,1003,1015,1025,1034,1038,1052,1055,1069,1075,1086,1095,1102,1108,1116,1125,1136,1147,1148,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,30,36,45,54,65,71,79,91,98,108,116,127,128,144,147,159,164,179,315,324,331,337,345,358,363,373,381,387,402,406,413,422,435,442,597,605,614,619,631,639,647,657,667,677,679,689,703,705,718,726,734,745,746,758,764,776,783,796,799,810,820,827,838,840,849,861,870,881,884,893,905,911,922,929,936,943,956,964,970,982,993,995,1006,1016,1021,1033,1040,1047,1059,1062,1076,1081,1094,1100,1105,1116,1121,1138,1139,1154,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,31,38,47,55,60,72,82,85,94,107,115,125,132,142,148,156,168,172,316,319,329,342,352,355,363,374,383,388,397,405,416,427,434,438,468,608,610,626,628,642,648,656,663,672,685,690,699,708,718,725,733,737,750,761,766,779,782,789,804,811,822,823,839,847,848,858,871,879,886,897,901,910,924,930,938,946,952,960,975,981,992,995,1008,1013,1025,1035,1042,1051,1061,1070,1072,1079,1093,1103,1107,1120,1126,1136,1146,1155,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,17,33,34,50,59,63,73,83,85,97,107,112,127,130,144,148,158,166,171,317,318,328,342,346,355,368,372,379,392,401,406,415,427,432,439,596,606,617,619,632,637,646,655,661,676,683,694,695,704,712,726,736,744,754,760,770,776,786,794,803,811,820,825,832,843,849,865,866,875,890,898,901,916,922,926,937,945,957,961,972,979,988,997,1009,1011,1021,1029,1044,1046,1056,1068,1073,1085,1091,1096,1111,1115,1128,1138,1144,1148,1158,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,19,29,34,49,53,61,69,84,93,94,106,117,127,134,137,152,158,163,178,316,322,327,339,351,357,368,371,380,388,398,407,417,426,433,438,600,604,617,620,627,643,645,656,661,669,678,690,700,704,715,724,729,740,749,757,770,778,782,796,803,807,817,829,833,845,855,863,870,882,888,892,906,914,918,928,941,945,951,961,973,978,992,994,1003,1016,1025,1031,1041,1050,1058,1067,1072,1083,1090,1101,1109,1117,1128,1131,1145,1156,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,23,32,42,50,52,66,72,80,86,100,104,119,122,136,140,150,162,169,173,314,326,327,338,349,354,363,370,379,388,403,404,417,422,436,444,461,603,612,618,634,641,647,656,664,672,681,692,702,705,713,727,735,739,751,759,770,772,787,790,800,811,816,826,835,846,851,858,867,874,887,899,905,916,925,932,941,947,957,961,972,984,991,1000,1006,1016,1022,1035,1040,1046,1062,1063,1078,1082,1091,1097,1111,1119,1130,1131,1141,1147,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,26,34,44,52,62,70,84,88,94,106,115,120,135,141,148,157,163,172,183,324,331,341,350,359,366,371,385,391,402,407,416,423,431,440,600,603,613,625,627,640,649,656,668,674,684,689,697,709,717,723,735,745,751,762,768,772,781,794,803,814,821,828,838,841,849,858,872,876,888,896,903,910,923,933,939,950,959,966,972,984,992,994,1010,1014,1023,1033,1039,1052,1056,1064,1072,1082,1094,1104,1107,1117,1126,1130,1146,1151,1163,1169,1176	0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,23,32,39,46,55,61,71,83,91,100,111,116,124,132,142,151,155,169,174,185,320,333,341,351,358,369,376,379,387,402,409,413,425,430,441,451,601,611,625,627,639,651,653,665,669,685,689,696,703,713,724,733,744,752,758,768,779,780,794,798,810,816,828,832,845,853,865,872,877,888,898,906,915,917,926,935,949,951,959,975,978,986,997,1009,1018,1025,1031,1041,1052,1054,1062,1073,1080,1091,1101,1109,1115,1127,1134,1138,1148,1164,1169,1176	0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,23,26,41,43,58,61,69,80,86,101,103,114,121,128,143,150,158,168,177,184,319,328,341,345,357,362,370,378,391,401,407,419,421,435,445,462,606,611,623,629,642,648,653,662,670,683,689,699,703,713,722,735,739,754,758,766,776,786,797,801,807,820,829,832,844,857,860,866,881,882,898,907,911,921,926,934,946,953,965,968,983,985,1002,1003,1015,1027,1032,1043,1052,1056,1068,1078,1082,1092,1098,1109,1118,1127,1133,1139,1151,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,9,20,27,34,48,51,61,68,81,90,94,105,117,122,129,140,147,162,167,174,192,325,328,341,347,358,364,375,379,392,398,407,414,426,433,440,463,602,617,625,630,638,644,654,662,673,678,690,698,710,714,721,737,744,748,763,770,774,783,790,797,814,815,823,835,846,853,859,873,879,883,893,902,912,917,930,936,948,955,963,976,983,985,1002,1004,1014,1021,1032,1041,1047,1053,1064,1075,1079,1088,1101,1106,1115,1124,1132,1146,1150,1162,1166,1173	1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
7,15,22,28,36,48,54,68,76,80,89,95,106,112,127,130,143,148,160,166,172,187,321,328,337,347,357,367,377,381,393,396,408,414,425,435,439,596,601,614,622,629,638,644,652,663,674,685,686,695,710,719,721,731,741,751,761,764,778,788,790,798,810,820,828,833,842,855,865,872,874,890,893,903,909,923,933,942,947,957,965,976,977,991,1001,1005,1019,1027,1030,1038,1050,1053,1067,1070,1084,1093,1100,1109,1113,1128,1134,1142,1155,1164,1166,1176	0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,18,33,37,45,56,61,75,84,86,96,103,118,123,133,137,149,160,168,177,184,325,329,340,350,357,361,372,378,391,399,406,415,426,435,438,459,602,612,618,630,637,644,657,662,669,682,693,695,707,714,723,733,744,754,756,765,779,782,792,799,811,815,824,832,841,855,861,871,878,888,898,904,915,923,925,937,944,954,964,970,982,990,996,1004,1017,1025,1028,1039,1045,1055,1068,1078,1085,1091,1097,1110,1117,1126,1137,1144,1155,1158,1169,1173	1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,22,28,39,46,57,64,74,78,86,95,105,112,123,136,139,149,153,168,178,200,321,333,336,352,360,362,371,384,387,395,404,412,424,434,445,468,605,615,620,633,639,647,658,669,676,684,692,695,703,719,723,736,741,752,760,764,776,783,795,804,809,821,830,835,845,854,857,866,875,890,897,902,914,923,933,935,944,955,964,969,980,990,994,1003,1014,1021,1028,1041,1046,1059,1067,1077,1081,1093,1100,1110,1118,1129,1137,1141,1153,1160,1165	1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,17,31,39,42,51,60,72,77,92,97,105,117,127,128,143,153,160,166,171,181,323,334,337,350,357,368,372,381,390,399,404,415,425,435,438,465,606,612,624,630,641,649,653,665,671,678,691,701,707,717,720,736,739,753,762,768,779,782,797,798,812,820,823,834,846,850,860,873,879,889,895,903,912,922,927,938,943,951,963,975,976,992,1000,1004,1018,1026,1028,1036,1047,1055,1066,1072,1079,1088,1100,1108,1119,1126,1135,1147,1148,1160,1170,1173	1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
3,16,19,28,37,45,51,61,69,83,85,97,105,114,121,133,144,150,161,163,171,316,318,334,336,351,356,368,376,382,389,401,404,418,427,432,443,453,602,609,619,629,635,650,653,660,674,677,692,700,710,712,721,736,745,748,758,764,777,788,790,802,808,821,829,839,845,854,861,866,881,883,893,908,911,916,927,939,948,951,961,970,982,988,994,1006,1010,1020,1030,1041,1048,1060,1066,1073,1083,1092,1103,1111,1113,1122,1136,1146,1155,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,30,39,45,53,64,73,85,91,94,104,114,125,130,138,153,158,168,172,181,318,332,340,346,355,367,376,379,393,399,404,419,427,432,441,598,604,612,623,632,642,643,656,663,673,684,686,695,710,716,725,737,743,746,755,769,776,782,793,797,806,821,823,839,846,853,861,871,876,886,893,900,916,917,932,936,946,952,962,968,977,987,1000,1003,1011,1024,1030,1041,1052,1058,1068,1075,1079,1096,1101,1112,1117,1129,1138,1144,1150,1164,1165	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,19,29,42,45,57,67,70,82,87,97,110,118,121,132,137,150,160,167,175,201,320,334,340,344,358,366,375,384,394,403,407,419,422,434,445,599,602,613,618,635,643,647,656,660,677,682,692,702,710,717,723,735,740,754,762,764,776,782,796,803,808,821,830,835,844,854,860,868,879,884,894,903,911,919,932,939,948,954,964,976,981,989,994,1006,1012,1020,1028,1040,1045,1061,1069,1077,1087,1091,1097,1107,1119,1123,1138,1145,1147,1158,1172,1178	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
0,13,22,31,39,43,54,66,76,83,89,101,109,112,121,132,141,149,157,166,171,189,319,327,338,350,359,365,375,382,388,396,406,417,424,433,440,598,603,612,625,632,640,651,658,665,676,680,692,699,709,718,724,735,740,751,762,771,772,786,789,797,812,822,828,834,842,854,857,872,880,890,898,904,913,919,931,941,950,956,962,968,980,989,999,1006,1014,1023,1032,1044,1051,1056,1063,1071,1081,1093,1102,1111,1115,1124,1138,1146,1151,1159,1170,1177	1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,13,18,31,41,44,52,61,74,81,90,102,104,111,122,134,143,146,155,164,176,183,326,329,336,350,358,369,372,385,386,400,411,418,422,433,444,597,604,613,619,634,642,645,653,662,672,681,691,697,707,717,727,737,740,747,759,765,778,780,788,804,805,820,828,833,842,855,857,868,876,889,891,901,910,917,933,938,950,953,965,968,981,993,1001,1002,1018,1019,1030,1037,1051,1056,1065,1076,1085,1090,1098,1105,1121,1127,1138,1140,1155,1160,1169,1173	1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,18,32,35,50,56,67,69,85,89,100,105,117,121,130,144,146,154,162,171,193,324,330,340,349,355,366,371,383,386,395,407,419,421,431,441,450,607,613,618,633,636,648,654,664,670,682,686,697,710,718,727,731,744,752,759,769,780,782,792,805,812,819,823,835,848,856,859,869,876,883,896,905,914,918,932,937,950,956,961,971,981,990,1001,1003,1018,1023,1029,1043,1051,1061,1069,1072,1083,1091,1098,1105,1118,1129,1135,1140,1150,1162,1165,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,21,30,40,48,55,60,74,80,91,99,102,112,124,133,138,152,158,164,177,183,323,332,341,348,360,367,376,383,390,400,407,412,427,437,440,449,608,614,621,633,636,646,656,661,669,681,688,696,709,716,726,730,743,747,756,768,772,780,795,804,812,814,830,834,843,853,857,871,875,883,894,901,912,919,933,938,946,957,967,969,983,991,1001,1004,1015,1024,1036,1042,1052,1061,1063,1078,1087,1094,1097,1107,1121,1123,1131,1141,1147,1156,1172,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0
0,17,20,30,34,45,53,61,74,82,86,94,105,112,125,133,136,146,157,166,177,315,325,334,339,347,353,367,370,382,394,398,405,417,422,436,439,465,603,612,622,634,639,650,654,663,670,679,688,699,709,717,721,733,741,751,755,764,772,782,793,800,811,816,823,835,841,852,862,873,875,883,898,904,910,925,931,936,946,952,964,968,977,989,996,1003,1011,1021,1035,1044,1051,1059,1069,1076,1085,1095,1102,1109,1114,1124,1136,1145,1150,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,32,40,46,51,65,76,82,93,101,105,114,126,133,143,153,160,169,174,313,324,327,336,344,356,366,371,383,390,402,410,412,427,429,444,453,609,612,624,629,639,646,653,663,673,685,688,702,703,715,721,736,741,753,759,767,778,785,790,805,813,816,825,838,845,855,865,871,874,887,893,903,910,917,926,935,944,957,965,970,979,988,998,1004,1015,1023,1031,1042,1049,1060,1062,1076,1082,1089,1097,1105,1115,1125,1138,1144,1150,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,30,35,45,58,62,75,81,89,95,105,117,127,131,139,152,157,170,171,313,324,331,337,348,358,365,372,385,393,396,405,417,424,430,441,596,604,617,620,629,639,648,659,664,671,680,687,695,705,713,728,733,741,749,755,766,776,786,789,801,809,819,829,839,840,855,863,870,876,884,895,904,910,917,931,942,949,954,966,976,981,990,995,1006,1010,1027,1031,1037,1052,1060,1063,1072,1082,1095,1101,1111,1121,1129,1132,1144,1155,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,19,33,40,51,52,60,69,78,92,99,105,117,124,131,137,149,154,166,173,316,322,332,340,350,353,368,376,383,387,396,410,415,427,433,442,449,608,615,624,628,637,650,654,665,675,678,686,699,705,718,725,733,740,753,756,765,779,784,790,798,812,815,827,839,844,854,860,874,878,888,896,903,908,920,931,941,950,955,961,971,979,993,1000,1009,1018,1022,1029,1037,1051,1058,1064,1078,1082,1089,1103,1111,1114,1124,1135,1144,1155,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,28,39,48,56,62,71,82,89,94,107,112,125,128,140,146,158,163,178,314,322,328,342,344,357,368,377,386,393,396,405,415,422,436,440,597,603,609,622,626,640,648,657,664,670,678,691,700,711,714,723,731,741,752,757,765,774,783,789,803,808,821,826,838,842,855,857,866,881,885,897,904,916,923,927,934,950,958,963,976,977,990,999,1006,1017,1026,1035,1041,1050,1054,1065,1077,1084,1094,1098,1112,1114,1124,1132,1142,1147,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,27,38,43,54,62,71,79,88,100,107,115,119,131,140,151,157,162,173,315,320,332,342,351,354,369,374,382,388,398,405,420,428,435,441,468,608,615,624,626,636,643,656,664,674,678,692,695,707,718,727,736,742,748,756,770,777,784,793,801,808,817,823,833,847,856,858,873,874,883,891,902,910,919,933,940,942,956,965,968,984,989,995,1003,1018,1020,1034,1043,1047,1058,1069,1076,1086,1093,1100,1107,1120,1129,1131,1139,1155,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,28,41,43,52,60,71,79,89,99,103,114,127,130,144,146,156,168,173,317,318,328,337,351,360,367,375,380,392,397,410,414,427,430,444,598,602,615,619,630,635,650,659,666,673,679,687,700,709,717,722,736,737,750,760,771,778,783,796,800,811,822,828,837,848,850,859,869,881,885,892,901,911,922,926,935,950,953,962,968,984,989,1000,1004,1017,1024,1033,1040,1046,1058,1063,1074,1083,1094,1100,1108,1114,1130,1133,1141,1149,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,26,34,48,58,63,75,79,92,98,103,113,127,131,136,149,155,166,170,314,325,331,340,347,354,363,372,383,394,401,407,415,428,437,442,452,604,616,619,630,642,651,653,663,670,682,691,695,707,719,721,735,737,748,757,764,773,788,794,802,807,817,826,831,846,850,859,872,879,885,893,903,911,921,926,934,947,957,965,974,982,990,998,1002,1010,1023,1030,1041,1046,1053,1062,1077,1080,1090,1098,1109,1116,1129,1134,1143,1151,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,21,25,37,43,51,61,72,78,93,96,103,118,126,128,144,149,160,169,173,184,322,333,335,347,356,362,369,382,392,400,409,419,423,437,443,463,602,609,626,631,636,647,653,666,675,685,690,696,703,720,722,734,743,751,760,770,775,785,788,800,807,816,831,832,847,852,865,872,877,887,894,901,915,920,933,936,945,956,960,968,981,987,1001,1006,1015,1020,1028,1037,1049,1055,1063,1074,1086,1093,1098,1110,1120,1122,1132,1147,1152,1163,1164,1177	1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,16,23,27,39,46,58,60,69,76,87,96,109,116,121,131,142,151,156,165,179,313,326,327,343,351,354,365,377,383,387,398,404,412,428,429,438,596,602,613,623,634,636,651,656,668,672,682,689,701,707,712,724,732,741,747,754,768,777,782,789,802,809,820,825,834,842,851,862,872,876,890,895,900,908,922,932,936,946,951,967,970,980,990,996,1004,1013,1021,1035,1044,1050,1057,1063,1077,1086,1090,1100,1110,1120,1128,1133,1144,1153,1164,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,18,33,35,43,55,67,71,78,85,101,109,114,127,135,139,149,161,166,177,313,319,327,335,344,355,365,377,380,387,397,409,419,422,429,441,598,602,609,623,632,639,644,659,668,674,685,687,702,707,713,728,732,741,752,758,766,776,780,789,802,809,822,829,839,848,855,865,866,880,885,891,900,913,921,930,936,944,952,961,971,982,990,1001,1009,1015,1027,1034,1042,1047,1054,1063,1078,1086,1089,1102,1109,1113,1123,1133,1141,1150,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,33,39,45,55,60,70,84,87,101,107,116,125,129,141,151,160,169,174,317,326,333,338,350,355,366,375,382,389,401,409,418,421,434,440,465,608,615,618,628,636,647,653,664,676,684,687,699,709,716,728,732,741,748,762,769,779,788,790,804,814,822,831,832,844,850,859,865,882,887,892,902,912,917,931,937,942,956,965,968,978,987,999,1009,1013,1024,1034,1043,1049,1054,1067,1071,1083,1096,1097,1105,1121,1123,1136,1142,1150,1163,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,20,33,39,42,58,60,69,82,87,97,105,117,127,131,143,151,155,166,175,316,321,333,335,351,355,368,376,379,393,402,406,416,426,437,441,598,601,617,621,627,637,652,660,667,672,679,689,701,710,720,722,734,737,754,755,770,778,782,789,798,812,819,826,833,843,853,859,871,875,883,893,902,914,922,929,939,947,956,963,976,984,987,1002,1010,1014,1021,1034,1039,1045,1056,1063,1073,1081,1094,1097,1105,1115,1122,1134,1140,1147,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,24,30,41,46,54,64,75,77,88,97,110,114,122,135,138,146,160,169,174,186,322,329,340,349,354,363,376,385,389,399,406,414,426,436,447,596,604,613,626,630,639,651,655,664,673,680,687,702,704,719,722,730,745,746,761,769,773,788,790,805,813,815,828,836,840,849,858,865,876,889,891,905,915,920,931,938,949,958,966,968,980,986,998,1010,1012,1022,1029,1036,1049,1054,1068,1072,1084,1090,1101,1105,1115,1128,1131,1146,1155,1161,1169	1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
4,14,23,27,40,44,53,61,69,84,93,100,105,115,125,134,142,149,157,166,176,314,324,327,337,346,357,364,370,382,388,401,407,419,426,436,443,600,609,616,620,633,637,651,652,665,675,678,691,698,703,717,723,733,744,747,761,765,773,783,796,798,812,817,827,832,841,855,863,872,878,883,899,906,911,925,929,936,947,954,967,975,983,986,996,1007,1013,1022,1032,1040,1050,1055,1067,1074,1080,1088,1104,1108,1118,1123,1133,1146,1150,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,31,42,43,51,66,75,79,92,96,105,119,127,131,144,145,159,169,179,317,320,329,337,349,357,367,377,382,392,396,410,414,425,433,441,597,606,615,623,634,635,649,653,668,676,679,692,697,707,719,720,729,738,753,762,767,774,788,794,801,814,818,829,838,846,850,861,871,876,887,894,903,916,921,931,940,948,953,965,969,978,989,996,1008,1019,1026,1030,1039,1051,1059,1062,1077,1085,1094,1102,1106,1119,1130,1133,1147,1155,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,33,40,42,56,66,70,79,87,97,105,112,122,131,140,153,159,169,171,314,321,328,343,344,355,363,377,384,393,402,409,415,425,434,445,598,606,611,619,631,636,646,655,660,673,684,690,695,707,720,724,731,744,752,761,770,780,785,789,799,812,819,823,834,846,853,857,866,879,891,895,904,910,918,930,940,946,958,963,976,977,992,995,1006,1011,1021,1031,1037,1049,1058,1069,1075,1080,1095,1098,1111,1113,1125,1132,1139,1155,1162,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,32,37,50,54,68,70,83,92,97,108,114,127,128,143,145,159,168,172,318,324,331,343,352,354,362,377,378,394,403,409,412,424,433,443,463,607,617,621,632,640,647,657,667,672,678,693,701,709,717,721,731,738,746,761,764,778,786,792,802,810,816,829,839,844,856,863,873,880,889,892,904,916,917,928,935,945,955,960,973,982,992,1001,1009,1012,1025,1033,1036,1046,1061,1067,1071,1085,1091,1100,1107,1119,1128,1133,1145,1148,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,30,40,49,58,60,69,79,90,100,109,118,122,134,140,152,158,164,173,315,324,332,339,350,358,365,376,381,387,395,409,414,426,436,440,449,605,609,618,631,641,645,652,665,674,686,691,699,704,719,721,730,738,750,755,765,777,783,790,798,814,818,827,834,846,852,860,869,882,884,899,905,914,919,929,938,943,951,961,975,982,990,999,1010,1017,1026,1032,1044,1046,1059,1070,1076,1083,1095,1099,1112,1113,1127,1132,1147,1148,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,32,39,44,59,66,74,77,86,101,107,113,126,131,138,146,155,167,174,316,325,329,343,348,354,368,375,382,390,402,408,419,425,433,445,596,607,611,621,633,635,643,655,663,671,678,687,694,703,715,725,734,743,749,756,766,776,787,794,803,810,818,824,839,847,854,863,865,875,884,898,902,912,917,931,940,945,952,963,976,977,987,994,1004,1015,1022,1031,1042,1050,1053,1067,1074,1083,1092,1099,1113,1114,1124,1132,1145,1150,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,28,40,47,52,68,73,85,91,101,107,116,127,128,137,149,161,167,174,315,319,329,342,352,360,366,377,380,386,398,411,417,423,432,440,448,603,617,619,629,641,646,657,667,675,684,692,699,704,713,721,736,741,751,756,768,772,780,794,802,813,818,826,835,844,854,857,871,875,889,894,907,915,924,931,939,947,953,966,974,979,991,995,1005,1012,1020,1030,1039,1052,1061,1069,1073,1087,1093,1098,1107,1120,1126,1133,1147,1151,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,21,29,41,42,58,62,70,84,88,101,105,111,127,135,143,147,159,168,173,314,321,329,342,345,355,368,376,383,393,398,407,416,427,434,438,447,604,615,625,631,642,646,653,668,674,679,689,699,709,712,727,729,740,747,759,771,776,786,790,800,807,816,831,837,840,848,864,872,879,889,895,908,910,925,930,941,943,954,966,970,979,989,1002,1009,1016,1024,1030,1043,1047,1062,1067,1071,1084,1094,1103,1109,1121,1129,1133,1143,1153,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,32,36,47,52,62,71,84,91,100,105,113,122,130,137,147,158,170,178,316,324,330,337,344,357,367,373,385,391,398,405,419,422,429,440,458,605,617,618,628,639,646,658,666,671,679,687,702,704,718,728,731,737,754,762,764,778,781,797,802,813,817,823,834,840,854,862,866,878,887,895,904,916,921,925,936,947,951,964,973,983,989,998,1007,1016,1024,1030,1037,1048,1055,1069,1075,1084,1088,1097,1113,1114,1125,1131,1142,1151,1156,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,26,38,45,56,68,71,82,93,94,104,117,122,129,138,150,160,167,175,317,324,332,343,344,356,369,376,382,394,401,405,420,427,429,441,597,609,615,622,632,636,650,659,667,669,682,686,699,710,712,727,737,744,749,761,765,777,780,789,800,806,820,824,832,841,850,857,870,882,888,897,906,914,920,925,937,943,952,965,975,979,988,1001,1008,1012,1023,1031,1039,1046,1054,1068,1076,1081,1095,1099,1105,1115,1129,1135,1145,1148,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,28,39,46,56,60,74,83,87,101,106,111,126,128,140,149,161,169,174,314,323,335,336,347,355,368,375,380,391,396,406,416,425,430,438,597,602,611,619,632,637,644,655,665,671,679,688,699,705,713,722,729,739,749,762,763,779,785,796,797,807,820,823,838,846,853,863,868,880,890,895,903,913,922,927,935,948,952,963,974,983,989,997,1003,1017,1022,1029,1039,1050,1055,1063,1071,1081,1093,1104,1106,1114,1129,1131,1143,1153,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,28,38,48,52,67,76,80,87,97,110,113,124,135,141,145,157,164,175,313,324,333,336,345,354,366,372,380,391,399,406,412,422,435,440,598,605,610,620,627,642,651,659,661,674,680,694,696,707,718,722,732,738,749,756,767,778,783,795,801,808,821,824,832,844,854,863,872,880,886,897,903,911,922,928,940,944,955,964,969,983,993,1000,1010,1011,1026,1031,1039,1048,1055,1068,1072,1080,1094,1102,1112,1120,1130,1133,1145,1155,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,24,26,41,48,51,66,70,80,89,102,109,115,121,136,142,146,157,163,178,187,318,334,343,344,356,362,370,383,392,400,410,416,426,432,438,448,605,617,626,627,643,650,659,664,675,678,691,698,705,714,728,730,741,751,759,769,776,781,789,801,806,814,826,832,848,852,865,870,874,886,899,904,910,921,931,935,944,951,964,975,978,989,996,1002,1019,1023,1032,1040,1045,1057,1068,1076,1083,1094,1103,1110,1119,1126,1130,1139,1152,1156,1170,1178	0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,25,26,42,46,57,64,74,82,88,94,106,117,123,130,141,146,160,167,177,181,320,328,340,347,352,364,371,384,394,400,410,416,425,433,443,599,606,611,618,634,639,651,652,663,673,683,687,701,706,711,721,734,745,753,754,764,777,786,790,800,813,816,829,835,842,854,863,869,874,885,892,901,908,922,926,939,950,956,966,976,979,992,997,1002,1012,1020,1034,1039,1050,1060,1065,1075,1085,1092,1100,1110,1118,1129,1136,1140,1154,1157,1171	1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,15,17,32,36,46,56,67,74,79,86,95,105,118,127,133,139,153,161,164,170,180,323,334,342,346,354,365,377,384,386,397,409,412,423,436,445,465,608,615,624,626,635,646,653,669,670,682,692,702,704,720,725,734,742,748,757,764,774,788,789,798,813,821,823,838,842,852,859,868,882,890,895,906,910,918,925,937,946,952,964,975,978,991,997,1008,1013,1023,1035,1043,1045,1059,1063,1072,1085,1088,1100,1112,1114,1126,1136,1139,1155,1162,1164	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,14,17,28,41,47,58,66,74,76,93,99,106,116,123,131,144,145,154,170,171,182,318,331,338,349,360,365,373,379,391,396,410,412,426,429,441,447,603,614,620,627,640,652,659,661,669,683,691,698,707,718,728,736,743,752,761,764,776,787,791,805,807,819,826,833,847,856,863,873,875,890,896,900,916,924,928,940,947,955,964,969,984,986,998,1007,1019,1023,1030,1041,1048,1061,1068,1078,1084,1090,1104,1113,1120,1127,1137,1143,1151,1164,1172,1177	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,16,19,28,36,49,58,63,74,81,85,96,110,115,125,128,138,152,158,168,173,180,321,333,335,349,353,362,370,383,389,396,406,417,424,429,437,600,607,617,619,633,639,643,653,665,672,681,694,697,710,720,725,736,745,746,761,769,780,781,789,801,811,817,827,837,842,849,860,873,880,886,893,902,911,917,931,935,950,959,960,975,982,986,995,1010,1018,1024,1029,1038,1050,1060,1066,1072,1082,1095,1098,1106,1114,1125,1134,1146,1148,1161,1165	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,17,30,39,47,59,66,73,84,85,97,103,117,124,136,139,151,156,162,172,181,323,327,341,351,357,362,372,380,388,399,405,414,423,429,443,598,603,610,623,631,643,650,656,662,673,685,691,698,706,716,722,734,744,748,762,768,776,785,795,802,809,822,829,838,844,855,859,871,879,886,896,902,912,920,933,936,948,952,963,974,981,990,999,1003,1017,1022,1029,1042,1050,1059,1066,1070,1087,1089,1101,1113,1116,1123,1134,1144,1149,1158,1171	0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,16,24,26,36,46,53,67,75,82,86,100,104,114,127,130,136,146,158,166,178,185,326,334,339,348,358,368,374,379,394,400,406,420,424,430,438,597,604,614,620,627,643,645,660,661,673,679,693,695,706,716,724,736,742,747,759,770,779,781,792,803,808,814,823,834,847,849,860,867,880,886,895,903,910,919,932,936,943,955,966,971,982,986,999,1002,1013,1023,1029,1043,1052,1062,1063,1078,1084,1090,1098,1105,1121,1127,1136,1144,1153,1162,1171,1175	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,18,32,36,43,56,62,71,85,92,98,104,116,125,131,137,148,157,166,179,191,321,334,337,350,355,361,369,384,386,398,409,415,428,434,443,599,607,615,622,628,637,651,659,662,674,681,687,697,705,713,722,737,743,750,757,771,772,783,792,800,807,815,830,839,844,850,863,873,877,890,895,904,916,925,932,935,943,956,961,975,981,988,994,1007,1013,1027,1028,1042,1051,1057,1062,1071,1080,1093,1096,1112,1116,1129,1134,1142,1152,1163,1170,1177	1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,19,32,34,47,57,60,75,80,91,101,103,116,121,133,138,150,158,166,176,315,322,332,342,351,354,367,372,384,391,403,410,420,424,430,444,459,608,617,623,628,638,648,652,666,674,680,690,702,707,719,727,732,742,753,758,765,773,786,795,802,807,821,828,838,844,851,864,871,876,883,898,900,913,923,931,934,948,958,967,976,982,992,1001,1007,1014,1026,1033,1040,1052,1060,1069,1075,1085,1087,1102,1107,1116,1129,1135,1140,1148,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,31,37,50,55,65,72,77,85,99,104,116,124,128,144,152,161,163,176,191,319,332,340,349,357,364,375,378,389,395,412,415,423,433,444,451,601,616,623,630,639,651,658,669,672,683,692,695,707,713,727,734,744,749,762,763,772,784,797,800,811,815,828,834,847,853,858,873,880,884,893,902,910,924,933,934,945,951,961,975,984,987,1001,1008,1013,1022,1033,1043,1046,1057,1070,1075,1084,1087,1097,1112,1119,1123,1136,1144,1148,1156,1169	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,16,22,25,35,48,54,62,72,82,90,97,110,119,121,132,139,148,161,165,173,314,326,328,341,352,357,368,375,384,391,397,408,420,429,432,438,596,603,612,618,629,639,643,660,667,669,678,694,695,707,716,724,735,745,752,758,769,775,787,795,799,813,818,826,835,846,849,862,871,876,884,898,906,909,921,931,938,944,952,959,974,977,989,997,1002,1011,1025,1033,1041,1053,1057,1062,1072,1083,1094,1096,1106,1117,1126,1130,1144,1155,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,24,29,36,44,53,67,73,82,90,100,106,118,122,129,137,147,157,169,171,317,324,333,340,351,355,367,373,386,394,395,404,413,423,431,442,597,603,614,621,631,639,644,658,668,672,684,692,699,704,712,725,737,741,748,762,766,772,783,789,801,814,818,824,834,848,852,858,867,880,889,894,904,911,924,931,934,944,953,962,969,978,986,996,1010,1015,1025,1033,1036,1046,1059,1065,1070,1083,1090,1102,1107,1115,1129,1137,1146,1148,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,12,23,29,40,48,54,60,74,82,92,95,102,113,123,129,140,146,161,167,177,192,320,333,337,346,360,365,372,382,394,396,408,419,425,433,445,448,607,611,621,633,637,645,654,667,669,686,693,701,706,714,725,731,741,747,756,764,776,785,789,800,810,822,826,836,841,852,865,869,875,885,891,901,910,917,926,942,948,956,960,972,977,989,1000,1008,1014,1023,1028,1039,1051,1057,1063,1073,1080,1093,1098,1113,1114,1124,1136,1141,1152,1157,1165	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,22,29,34,42,58,61,75,78,88,100,104,116,121,132,144,150,159,169,175,181,322,333,341,346,352,365,372,384,393,398,412,414,428,433,438,596,607,612,619,634,636,645,660,667,670,679,686,702,707,716,723,733,739,753,762,764,778,784,797,798,811,818,823,835,848,855,862,865,876,890,894,904,909,919,933,936,944,958,966,969,983,988,994,1004,1011,1020,1034,1038,1050,1057,1069,1072,1082,1093,1100,1111,1117,1122,1132,1143,1152,1161,1171,1174	0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,20,25,41,45,51,66,70,84,89,100,110,111,120,136,139,148,159,168,179,195,326,331,337,350,359,362,371,386,390,398,408,417,427,436,439,598,606,615,619,631,642,646,652,660,671,678,691,695,708,712,723,730,745,746,758,766,773,782,792,800,806,821,823,838,840,850,863,867,880,886,894,902,909,917,929,936,943,958,963,974,984,986,999,1009,1014,1026,1035,1040,1047,1059,1068,1076,1083,1094,1101,1112,1120,1127,1132,1141,1152,1163,1167	1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,22,32,39,44,59,63,72,80,88,98,109,115,123,134,143,147,154,169,173,314,325,330,342,351,356,361,372,383,386,398,404,419,422,436,442,447,601,610,626,631,642,648,652,668,675,683,692,700,711,714,722,734,745,749,759,769,777,782,792,804,811,817,827,835,845,853,862,871,876,890,892,901,910,922,926,942,943,954,959,969,977,989,994,1007,1015,1027,1030,1038,1049,1059,1062,1074,1083,1095,1104,1113,1114,1126,1133,1140,1154,1159,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,22,26,38,46,55,62,70,77,91,98,104,116,125,131,136,153,154,168,174,314,325,327,341,347,359,366,371,380,394,401,409,416,420,432,442,600,605,612,621,634,635,645,655,664,671,685,690,698,709,719,723,736,739,754,758,763,772,783,795,804,810,821,825,834,840,852,859,867,878,891,893,906,915,917,933,941,950,956,962,969,984,986,998,1003,1014,1022,1029,1044,1050,1061,1068,1073,1086,1095,1100,1112,1121,1127,1132,1140,1152,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,29,41,47,56,66,73,83,90,97,110,114,127,136,143,151,161,170,175,317,324,333,339,349,354,364,371,378,392,401,409,416,426,431,438,458,608,616,621,626,636,647,659,661,674,680,689,698,710,714,725,736,742,747,756,770,771,783,792,805,806,816,828,839,844,848,860,873,875,888,891,900,912,924,931,940,943,957,963,970,979,990,994,1007,1012,1023,1027,1038,1051,1058,1070,1076,1087,1090,1102,1110,1113,1123,1131,1143,1152,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,32,35,50,56,63,70,78,91,99,103,111,123,131,139,147,158,170,171,317,326,330,337,351,359,362,371,385,388,400,410,415,421,433,441,469,607,609,621,633,638,650,659,664,671,684,690,701,711,714,722,733,738,746,755,771,772,787,791,800,806,817,828,839,840,853,864,870,878,887,897,903,915,921,929,940,946,957,961,972,981,985,996,1004,1014,1026,1031,1040,1050,1054,1063,1077,1084,1091,1097,1105,1114,1128,1135,1141,1149,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,30,42,49,59,66,76,79,86,95,106,118,124,128,145,149,155,162,173,314,320,332,340,351,354,368,375,378,393,403,411,420,425,434,438,597,607,612,620,632,638,647,655,669,673,682,687,700,703,712,723,733,738,752,754,771,777,781,796,803,810,815,825,839,843,851,861,866,876,890,893,902,916,919,931,934,949,959,964,974,982,990,998,1010,1012,1025,1034,1042,1047,1054,1064,1078,1085,1094,1103,1109,1115,1123,1131,1143,1147,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,26,41,44,56,62,72,82,87,100,104,113,125,129,136,149,159,167,174,317,324,332,341,345,356,366,369,384,387,396,408,415,422,430,441,468,607,614,624,633,643,644,656,661,671,683,687,695,711,718,728,735,738,749,756,767,775,783,792,804,809,815,825,836,848,852,859,866,882,889,895,904,910,921,930,939,945,958,965,974,977,987,995,1004,1011,1019,1030,1041,1047,1058,1069,1073,1086,1088,1100,1107,1120,1123,1134,1141,1150,1164,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,25,34,45,54,64,75,83,85,100,109,113,127,131,141,152,159,163,178,316,321,332,337,351,353,361,374,379,390,403,406,416,421,436,439,597,606,612,618,626,635,648,656,662,675,681,692,698,708,717,722,731,737,748,759,769,774,788,794,798,806,816,823,833,840,854,862,870,876,888,897,907,915,920,928,938,943,959,962,970,982,989,1001,1003,1017,1026,1035,1039,1047,1057,1064,1078,1081,1093,1101,1106,1118,1123,1138,1146,1152,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,27,38,46,57,67,70,82,91,102,110,116,126,130,143,151,155,166,178,313,323,328,338,348,357,361,369,383,394,395,407,415,429,432,443,596,602,617,623,630,641,645,652,663,670,683,693,698,706,714,723,729,738,747,758,765,773,787,789,802,813,818,829,833,845,851,861,865,879,889,896,907,915,919,927,939,949,956,963,973,982,991,998,1003,1017,1026,1029,1037,1046,1054,1067,1071,1083,1091,1097,1109,1119,1123,1133,1147,1150,1157,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,33,40,48,52,62,75,83,91,96,105,116,124,133,142,149,160,168,173,182,323,329,338,351,359,367,373,385,391,395,409,414,428,433,440,470,603,612,619,634,640,652,657,663,669,682,690,701,709,713,724,735,742,746,762,766,771,788,790,804,814,816,824,835,840,854,862,867,875,888,893,907,912,924,930,941,950,959,965,970,980,993,999,1003,1017,1027,1031,1044,1053,1061,1063,1077,1084,1091,1103,1111,1121,1122,1133,1143,1154,1161,1168	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,23,27,36,50,59,62,76,80,88,95,108,118,125,129,138,147,161,162,177,315,326,327,336,345,356,366,373,383,390,399,405,413,422,432,444,596,606,614,619,633,642,644,660,664,674,678,694,703,705,713,728,730,741,750,760,768,779,781,791,800,807,816,827,833,840,854,857,867,880,889,899,902,910,923,926,936,951,958,965,972,981,989,997,1002,1014,1023,1032,1038,1047,1057,1067,1078,1086,1088,1098,1105,1118,1127,1131,1140,1151,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,31,35,48,51,60,73,83,92,96,106,116,122,131,144,147,161,170,178,315,318,335,339,348,352,363,375,386,391,398,406,413,421,433,443,599,607,615,626,628,639,650,655,666,674,684,692,695,709,713,728,737,743,747,759,770,772,780,794,805,812,817,826,838,846,851,861,866,875,887,892,907,912,917,932,941,947,957,964,976,981,991,998,1009,1019,1026,1034,1037,1049,1057,1066,1072,1087,1091,1103,1107,1118,1126,1131,1142,1149,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,26,38,43,57,64,74,80,87,101,105,118,125,131,143,145,159,169,177,313,325,329,340,347,360,368,370,386,393,396,408,412,421,437,445,596,604,613,618,631,642,649,657,660,671,681,691,696,710,715,728,729,740,750,757,766,778,787,790,798,808,817,825,839,846,851,861,867,882,883,897,904,912,921,932,935,944,957,961,973,976,991,997,1009,1016,1024,1029,1042,1052,1061,1067,1071,1086,1093,1102,1110,1115,1128,1133,1145,1155,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,21,28,38,45,55,66,74,83,90,101,107,113,123,131,144,152,155,170,175,314,321,327,337,347,353,367,375,381,390,395,409,420,422,429,439,462,609,610,620,633,639,647,659,665,674,678,690,694,707,717,727,734,737,747,761,763,773,786,790,800,809,820,831,838,841,854,857,873,876,888,899,907,915,921,927,937,945,958,960,974,984,990,996,1005,1013,1021,1029,1043,1047,1061,1070,1071,1087,1095,1099,1106,1113,1123,1136,1142,1149,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,20,33,36,45,55,66,71,81,87,98,104,117,119,133,139,153,154,165,174,186,322,328,336,351,360,368,372,378,388,401,406,414,422,429,440,468,605,609,619,627,643,649,652,663,676,679,686,695,704,714,728,731,741,747,760,768,773,781,795,804,812,820,825,831,846,852,860,868,874,890,893,901,916,917,925,935,944,951,966,972,984,987,996,1002,1017,1024,1029,1037,1051,1059,1068,1078,1086,1096,1101,1107,1120,1122,1136,1144,1148,1156,1166	1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,14,18,30,41,47,54,64,69,80,93,99,110,113,126,128,144,152,159,163,174,317,326,333,339,345,353,368,377,382,392,401,408,420,429,430,441,466,607,610,620,627,640,648,660,664,669,686,694,696,705,714,727,732,740,751,761,767,774,783,788,801,809,820,826,838,845,853,865,873,878,884,892,906,913,924,927,935,947,958,967,976,984,986,1000,1004,1015,1027,1033,1039,1048,1060,1064,1073,1081,1088,1103,1113,1121,1124,1132,1145,1148,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,29,35,47,58,67,69,83,88,102,107,117,124,132,139,148,159,168,177,316,325,328,340,345,358,362,371,378,389,402,410,420,429,436,438,600,601,611,619,627,640,648,652,666,673,681,690,702,710,719,725,730,742,753,754,766,774,785,791,803,808,822,830,839,846,853,857,870,878,884,893,901,909,921,929,935,943,951,966,974,985,986,999,1002,1015,1021,1030,1041,1052,1058,1065,1077,1084,1094,1101,1104,1119,1126,1132,1143,1155,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,19,26,34,46,57,64,68,83,90,97,104,116,121,129,139,151,156,170,171,317,324,327,336,347,360,366,375,379,387,401,411,420,421,431,445,596,603,613,618,626,637,646,655,662,673,686,690,694,711,714,723,729,742,753,755,765,778,783,789,800,806,817,825,832,840,855,860,866,874,890,895,903,910,921,931,941,949,952,960,972,977,987,995,1003,1011,1020,1029,1043,1047,1057,1066,1078,1081,1090,1102,1112,1121,1124,1135,1141,1148,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,29,41,51,52,64,73,82,93,95,108,112,124,131,137,147,161,163,171,315,320,326,341,344,355,363,375,384,394,396,412,419,425,432,441,599,607,617,619,630,639,646,660,662,675,684,689,700,703,719,726,735,738,751,760,766,776,788,790,803,808,816,824,832,846,853,862,868,877,890,895,902,916,922,927,938,947,952,962,968,977,987,1002,1008,1013,1025,1028,1040,1045,1055,1063,1076,1086,1090,1097,1111,1121,1123,1135,1145,1155,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,32,34,48,52,61,71,77,91,102,106,113,125,128,142,147,161,169,173,316,325,327,338,349,360,369,370,385,387,402,406,420,427,433,444,599,603,617,624,633,641,644,654,668,670,681,686,700,706,714,723,732,744,746,758,765,779,784,793,802,813,822,831,836,841,850,860,869,875,883,895,904,908,918,926,942,945,951,964,976,979,993,1000,1006,1017,1024,1034,1041,1048,1054,1069,1077,1087,1090,1099,1109,1114,1121,1132,1138,1153,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,33,41,43,57,66,68,84,89,95,106,118,123,128,141,149,158,165,176,313,322,332,336,351,353,363,373,385,394,401,410,413,426,430,439,596,603,614,620,631,642,650,655,665,677,680,693,696,711,712,720,733,744,750,759,768,771,788,792,800,808,822,827,837,847,854,858,867,880,886,898,907,910,919,925,938,949,958,959,969,978,985,996,1010,1015,1024,1028,1042,1048,1059,1068,1076,1083,1094,1102,1112,1115,1126,1135,1145,1149,1159,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,18,33,34,48,55,62,72,81,92,96,108,114,125,131,143,152,159,169,176,317,318,328,336,347,353,364,372,386,389,401,409,420,426,434,442,448,607,613,620,631,637,648,656,667,676,680,691,702,704,713,720,731,740,751,761,763,773,783,793,804,813,816,827,836,843,849,864,867,876,886,894,906,911,924,926,935,947,956,961,975,983,986,998,1004,1013,1025,1033,1041,1047,1061,1066,1078,1081,1093,1099,1108,1116,1128,1136,1141,1155,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,22,26,38,48,54,66,71,85,90,96,105,118,122,128,142,149,154,165,177,314,326,333,335,348,354,369,375,380,394,401,408,414,421,435,440,597,603,612,620,627,640,643,657,661,671,677,689,701,704,717,723,735,745,752,757,769,778,780,794,802,813,821,826,839,842,853,858,872,880,889,896,902,912,921,930,935,944,954,961,972,977,991,1001,1007,1013,1027,1033,1042,1046,1057,1069,1072,1082,1087,1099,1108,1119,1126,1130,1141,1151,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,30,40,49,58,67,68,78,88,100,106,116,120,135,140,149,155,169,175,313,322,333,336,346,358,363,373,385,387,397,405,416,428,436,440,596,607,615,623,633,638,647,654,668,674,679,690,701,711,718,724,733,738,752,759,765,772,783,797,802,813,819,825,832,843,850,863,868,881,885,899,906,911,923,930,935,948,957,964,973,984,986,997,1008,1018,1021,1030,1040,1048,1056,1066,1074,1080,1094,1097,1109,1120,1123,1137,1143,1153,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,33,39,43,53,60,73,83,92,95,108,112,123,136,144,148,160,163,175,317,323,327,338,349,359,362,372,380,394,397,404,415,424,431,444,465,608,616,625,627,635,650,656,664,675,686,688,696,705,717,723,734,739,747,757,771,778,785,796,799,810,818,823,839,840,856,858,871,879,884,893,903,909,921,927,938,948,951,965,970,976,993,995,1006,1016,1021,1028,1036,1047,1056,1070,1072,1087,1090,1102,1111,1114,1123,1135,1143,1149,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,30,42,44,57,63,76,83,85,99,102,119,122,132,139,145,155,168,178,316,319,332,336,352,359,365,373,383,389,403,409,412,422,436,445,598,603,609,620,633,638,644,656,662,673,684,690,701,709,718,722,733,745,749,760,769,779,788,791,800,805,816,830,832,846,856,864,871,879,885,895,904,913,921,933,935,947,957,964,971,982,990,998,1007,1017,1019,1032,1040,1045,1055,1065,1073,1083,1089,1102,1106,1117,1122,1134,1146,1155,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,27,38,46,52,61,71,80,86,94,108,111,126,128,136,146,159,168,176,315,323,333,341,344,359,361,370,382,387,399,408,419,423,429,445,456,606,616,625,629,639,645,653,665,676,680,687,695,705,717,725,729,744,751,756,769,778,782,795,805,807,822,828,832,843,855,865,873,878,883,897,900,909,920,926,938,946,954,962,972,976,986,995,1003,1016,1023,1032,1038,1048,1061,1068,1076,1082,1095,1096,1111,1117,1122,1135,1139,1150,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,26,40,49,56,61,72,79,89,95,109,115,121,134,138,148,153,163,175,188,318,332,336,345,354,362,373,381,388,400,411,415,426,430,441,598,602,612,622,634,637,646,652,661,675,678,693,701,704,714,722,733,741,748,760,767,775,782,790,803,812,816,829,838,841,853,865,870,877,886,892,899,909,919,933,935,948,953,965,970,981,990,996,1010,1016,1025,1032,1039,1047,1058,1062,1074,1086,1091,1099,1109,1117,1125,1132,1141,1150,1163,1166,1177	1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,18,27,36,43,56,64,73,79,93,97,107,117,123,129,142,153,161,162,173,180,323,331,337,344,358,363,373,380,387,401,405,415,422,429,440,600,601,614,620,630,641,651,659,661,676,678,689,695,707,713,725,731,743,750,763,768,772,781,793,805,809,821,830,838,842,852,859,870,874,889,898,906,914,919,932,936,950,956,965,968,983,987,995,1004,1012,1020,1029,1041,1051,1058,1066,1078,1083,1091,1101,1109,1119,1122,1134,1142,1149,1163,1171	1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,21,28,35,43,59,60,70,78,91,100,106,118,127,128,141,146,154,168,174,186,320,330,339,347,356,366,374,385,386,402,404,414,425,436,442,599,605,611,620,627,642,647,657,666,670,679,693,697,705,717,720,734,738,753,755,769,773,783,795,798,806,820,829,832,842,855,857,869,877,890,899,902,909,924,928,938,948,956,967,972,977,987,997,1006,1018,1022,1034,1039,1045,1055,1062,1076,1082,1093,1102,1113,1114,1130,1131,1142,1150,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,18,33,34,42,55,60,69,79,87,95,102,112,127,129,138,153,158,163,179,186,320,328,338,352,356,368,375,385,394,401,408,416,429,433,439,596,603,610,618,633,642,647,657,664,672,678,688,702,706,716,721,730,744,750,759,769,776,783,792,802,809,815,828,831,847,854,857,867,875,887,896,901,913,918,932,939,944,957,967,970,984,990,997,1004,1018,1020,1032,1044,1047,1059,1070,1076,1082,1089,1099,1105,1116,1124,1132,1145,1151,1156,1165	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,24,33,41,44,52,63,68,78,85,101,107,119,122,133,138,151,157,163,177,182,319,332,340,343,354,364,371,379,390,403,409,413,421,430,442,598,606,610,624,628,637,648,660,665,675,677,689,703,711,719,725,736,744,748,759,771,774,781,791,799,812,814,827,833,845,848,864,867,880,884,891,907,909,924,929,935,945,958,964,968,978,985,994,1009,1017,1025,1036,1041,1050,1059,1064,1074,1079,1090,1097,1106,1114,1123,1135,1145,1148,1161,1167,1176	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,22,31,41,47,57,66,69,81,86,101,110,111,123,133,144,146,162,170,175,188,319,333,336,350,359,367,374,386,389,396,408,415,428,434,439,467,609,610,624,632,640,650,656,664,671,685,687,697,703,712,726,732,740,753,756,763,778,784,794,798,814,822,831,835,843,855,864,873,876,882,895,908,909,919,932,940,943,951,961,971,981,993,998,1006,1018,1022,1030,1040,1046,1057,1067,1073,1084,1093,1099,1104,1115,1124,1133,1145,1147,1157,1165	1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,25,27,37,48,57,63,70,84,89,97,105,112,124,132,136,150,158,167,175,184,325,327,339,347,355,365,374,380,387,398,404,415,423,432,443,458,601,615,621,626,639,651,660,661,672,682,686,699,708,717,721,732,741,749,758,765,772,787,790,799,813,814,824,833,847,856,862,868,877,885,892,906,911,920,925,939,950,953,963,969,982,992,1000,1010,1017,1020,1035,1044,1047,1059,1065,1074,1082,1088,1103,1112,1114,1126,1134,1143,1150,1162,1165	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,22,28,42,45,55,67,73,77,89,94,105,113,120,131,138,152,156,165,176,184,325,328,341,346,359,365,375,384,386,396,406,417,427,437,438,457,607,612,624,626,639,645,659,665,672,685,689,696,706,718,728,733,740,748,756,769,773,788,797,799,805,822,828,831,841,850,863,866,881,888,897,902,913,917,930,936,944,959,961,969,976,987,995,1010,1018,1024,1028,1044,1046,1056,1063,1075,1079,1089,1096,1111,1119,1128,1135,1144,1154,1160,1165,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,21,27,35,46,56,65,71,81,88,98,110,115,121,129,142,153,161,167,173,314,326,332,335,344,358,361,369,383,394,396,407,414,422,433,440,598,605,611,620,630,635,644,657,664,672,678,693,703,705,717,726,729,738,750,756,769,775,786,795,801,808,820,828,833,840,852,861,868,881,890,897,900,914,923,931,934,948,951,962,971,982,991,997,1009,1011,1022,1034,1042,1052,1056,1067,1076,1084,1092,1103,1110,1118,1124,1135,1141,1154,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,19,31,39,50,56,67,72,79,88,98,108,112,122,134,137,148,156,164,175,180,325,330,343,350,356,366,376,382,387,401,411,419,424,434,444,456,605,611,625,627,639,649,655,666,671,684,693,701,710,713,726,732,742,753,757,766,775,780,792,803,806,819,824,832,844,852,858,868,878,887,892,901,914,924,932,937,946,956,965,971,978,992,1000,1003,1012,1022,1033,1042,1048,1061,1066,1071,1080,1094,1102,1108,1120,1125,1136,1142,1148,1158,1168	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,12,17,29,39,44,56,62,76,82,88,101,110,118,120,131,139,148,156,168,177,185,318,334,335,346,360,368,369,385,392,401,407,413,426,437,446,598,602,614,624,632,640,644,658,661,670,680,691,702,706,712,727,732,741,752,759,768,776,783,795,797,811,822,823,837,844,851,864,872,880,887,898,901,915,925,926,940,948,958,961,969,982,985,1001,1009,1011,1022,1033,1040,1052,1057,1068,1073,1084,1087,1097,1112,1116,1127,1131,1141,1154,1157,1165,1173	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,19,31,38,43,53,67,69,80,92,93,107,112,123,135,143,152,156,165,178,182,321,332,342,345,359,364,373,380,389,399,410,412,421,431,442,600,608,613,624,634,638,651,653,663,675,685,692,703,707,718,721,731,742,754,758,767,771,786,796,803,814,820,824,837,847,852,863,870,874,883,897,901,913,921,928,939,942,953,964,973,981,986,995,1006,1016,1021,1031,1043,1053,1058,1065,1073,1080,1093,1096,1105,1116,1129,1137,1141,1152,1159,1170,1178	1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,17,33,35,43,58,62,75,79,85,99,106,116,126,136,140,152,159,166,177,189,322,331,343,348,360,368,371,380,394,400,405,415,421,431,440,449,604,611,624,634,640,652,657,662,672,682,688,699,703,716,720,735,742,752,758,768,774,783,791,803,808,822,824,839,844,851,863,870,877,885,897,902,916,925,932,940,949,954,964,973,984,993,994,1006,1016,1023,1030,1039,1046,1057,1070,1077,1084,1087,1103,1111,1118,1122,1135,1143,1148,1157,1170,1176	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
1,16,21,26,36,46,54,63,68,79,86,100,105,113,120,132,145,147,160,163,173,180,324,327,336,349,360,369,370,379,390,400,404,420,424,436,438,465,607,614,619,631,640,651,653,667,674,682,691,698,706,712,724,731,746,752,759,770,778,782,789,798,812,818,823,835,842,856,860,871,876,889,898,904,912,924,929,939,944,955,963,968,978,989,998,1006,1013,1020,1031,1044,1051,1056,1067,1075,1081,1088,1102,1104,1115,1129,1130,1143,1153,1164,1167,1176	1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,23,25,37,44,59,60,76,78,92,97,109,113,127,130,144,145,157,165,175,182,318,334,335,347,354,361,370,385,394,401,411,412,422,431,438,599,606,612,624,633,636,648,656,667,671,683,692,702,711,715,721,734,739,751,760,768,777,784,792,801,806,817,824,840,845,856,862,866,880,890,895,905,909,924,931,941,948,955,964,969,984,992,996,1006,1017,1020,1033,1037,1048,1060,1066,1073,1086,1092,1099,1105,1121,1124,1133,1145,1150,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,25,29,41,45,51,65,68,82,92,100,105,114,127,134,141,152,158,165,171,317,323,326,335,352,353,362,375,384,391,397,405,416,421,436,438,599,605,616,623,628,635,643,655,665,677,683,691,703,710,715,728,732,745,746,758,765,775,780,797,799,812,814,827,833,847,854,860,871,879,883,898,905,913,919,930,936,949,953,962,969,981,985,997,1010,1012,1023,1028,1037,1050,1059,1070,1074,1081,1093,1096,1105,1115,1123,1134,1142,1148,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,28,35,46,59,64,71,79,89,102,104,112,122,134,144,149,153,164,178,315,319,333,336,347,360,369,375,384,392,402,406,418,422,435,438,597,608,611,620,626,641,646,654,662,674,678,690,696,709,713,721,732,738,751,759,766,773,787,794,804,811,814,828,836,846,849,864,867,882,888,894,900,914,924,926,937,943,952,959,974,979,989,995,1010,1016,1022,1030,1039,1047,1061,1064,1072,1082,1091,1098,1110,1114,1124,1136,1144,1155,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,31,35,43,54,65,75,80,90,97,110,119,126,128,143,148,154,168,172,316,324,332,341,348,358,364,370,380,389,397,405,417,423,430,438,600,608,617,621,627,638,645,657,667,672,685,687,696,710,719,726,731,740,752,763,770,778,787,790,797,813,816,826,839,840,854,863,868,880,887,896,901,910,919,927,942,944,954,962,976,984,987,996,1005,1015,1021,1029,1038,1051,1055,1065,1078,1080,1090,1100,1108,1118,1127,1133,1147,1148,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,25,29,39,49,58,63,73,79,88,101,104,119,120,133,144,146,158,169,172,316,318,333,339,347,355,368,373,383,390,402,410,418,424,435,443,596,606,613,618,626,635,644,654,665,676,678,686,701,711,716,725,733,741,746,754,766,771,784,794,801,805,819,827,839,844,856,862,867,882,888,895,904,914,917,929,940,947,951,964,968,981,993,1000,1010,1016,1024,1034,1039,1047,1056,1063,1076,1079,1091,1096,1105,1113,1125,1131,1142,1155,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,32,39,49,55,61,70,84,88,98,106,112,124,135,139,151,155,167,171,313,326,330,339,344,355,366,374,382,388,399,405,413,421,432,441,600,608,615,624,632,643,647,652,663,675,678,686,696,707,712,727,735,739,746,757,769,777,784,794,803,807,817,829,833,844,849,857,869,881,886,892,904,911,919,929,937,946,957,967,972,976,985,1000,1005,1013,1021,1032,1039,1052,1061,1067,1070,1084,1091,1096,1111,1119,1122,1135,1142,1149,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,34,38,45,55,63,68,84,87,95,104,111,122,128,140,153,155,165,173,316,325,334,336,349,360,365,372,383,394,396,411,415,423,429,445,451,602,610,624,634,636,651,652,662,672,684,693,698,709,712,723,734,738,754,755,765,777,788,789,803,812,817,825,837,842,853,857,869,882,889,897,906,909,921,926,939,950,953,967,973,983,987,999,1008,1015,1021,1032,1037,1049,1060,1070,1075,1085,1093,1102,1105,1113,1129,1133,1142,1151,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,26,39,48,57,62,74,77,90,98,107,111,125,128,138,149,156,167,179,316,324,333,340,352,360,366,374,380,394,402,406,413,427,436,443,600,608,615,618,627,636,650,655,662,671,679,691,700,705,716,721,730,743,752,760,769,776,786,793,800,806,818,830,835,841,852,862,870,881,883,899,904,916,920,930,940,947,951,964,970,984,989,1001,1002,1017,1022,1035,1044,1051,1057,1065,1074,1087,1089,1101,1108,1115,1125,1132,1141,1154,1159,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,30,40,44,58,64,68,81,89,94,105,114,124,133,137,147,155,170,179,317,324,334,341,352,358,362,376,383,391,400,410,412,420,433,441,468,605,614,621,635,642,645,652,666,671,677,687,695,709,713,721,735,740,746,760,763,771,787,792,801,811,819,827,839,844,849,861,871,876,888,899,907,912,921,931,939,946,953,967,972,977,991,998,1010,1019,1022,1036,1041,1050,1058,1067,1071,1083,1095,1096,1113,1114,1129,1136,1143,1149,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,34,37,43,55,62,76,81,90,98,108,117,125,132,143,148,159,167,174,183,325,327,338,345,354,369,370,384,388,399,406,415,426,431,445,599,605,616,625,634,639,650,654,665,676,682,692,696,706,719,726,736,737,752,759,765,774,783,789,798,812,817,829,837,847,857,860,866,877,891,898,900,909,924,930,936,944,953,962,975,981,988,996,1008,1013,1023,1035,1041,1047,1058,1067,1074,1081,1095,1096,1108,1119,1127,1131,1139,1147,1158,1170,1178	0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
3,9,19,28,40,47,53,66,71,83,88,97,103,118,123,128,140,149,161,168,176,316,323,327,339,348,359,369,371,383,391,396,409,416,423,433,439,596,606,613,620,629,635,644,658,667,673,684,694,702,706,720,725,735,744,754,761,763,779,784,790,797,811,815,830,833,847,852,858,869,881,886,897,904,915,921,928,937,943,956,967,976,981,992,1001,1003,1017,1021,1032,1038,1053,1059,1070,1079,1084,1092,1103,1107,1116,1125,1130,1143,1153,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,29,41,47,56,68,69,78,90,94,106,115,121,130,140,145,158,168,172,314,322,328,343,351,360,364,373,382,387,399,408,416,428,434,438,600,604,613,621,634,636,644,657,664,674,684,692,700,708,717,728,732,738,753,756,766,773,782,794,803,812,821,827,834,844,856,863,872,882,888,895,903,916,924,932,941,949,955,967,974,983,987,999,1006,1012,1027,1029,1042,1047,1059,1062,1077,1086,1093,1099,1104,1116,1128,1137,1139,1148,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,22,30,41,46,59,60,70,77,90,98,104,113,121,133,138,149,155,166,178,314,324,329,338,348,356,364,373,378,392,397,408,417,426,432,440,598,608,613,619,631,639,651,657,663,677,681,688,697,705,713,727,737,742,752,762,768,773,782,795,800,810,815,825,833,843,851,865,872,877,887,895,906,915,922,931,936,949,958,960,972,982,988,995,1009,1017,1022,1032,1044,1045,1060,1066,1074,1081,1091,1102,1107,1121,1123,1132,1139,1150,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,21,34,42,43,53,66,72,79,89,96,107,116,121,132,140,151,156,166,173,313,324,328,341,349,352,367,371,378,388,400,409,417,426,433,438,599,608,615,619,632,637,649,652,665,674,680,689,694,708,715,724,737,738,753,763,771,772,786,791,799,814,819,830,836,844,852,858,866,881,888,893,900,915,924,926,937,944,954,965,973,983,992,994,1003,1013,1027,1031,1039,1047,1061,1069,1075,1083,1092,1102,1109,1117,1127,1130,1141,1147,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,33,36,45,57,68,76,83,91,96,106,116,122,128,140,147,159,164,172,180,325,330,336,345,356,367,374,378,389,401,405,419,429,432,445,466,603,613,623,633,636,646,653,661,670,685,692,698,704,716,725,733,743,750,762,765,778,785,791,798,810,820,826,834,842,851,857,869,876,890,895,905,915,918,928,937,948,959,966,972,977,989,999,1002,1015,1021,1031,1042,1050,1053,1069,1074,1080,1090,1102,1112,1120,1129,1138,1139,1148,1164,1172	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,10,25,27,35,48,55,66,71,83,90,95,104,112,126,130,141,152,160,164,175,318,325,330,338,352,353,368,370,378,392,395,410,415,424,430,440,596,604,610,620,634,641,649,656,666,670,681,691,695,708,720,723,737,741,752,756,767,776,785,791,803,806,818,823,836,844,855,858,871,879,885,899,900,912,922,930,933,949,956,967,975,977,990,997,1007,1015,1024,1036,1040,1052,1056,1064,1077,1085,1091,1103,1107,1120,1126,1133,1140,1148,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,30,40,43,59,67,76,78,92,94,110,113,125,135,140,145,160,162,171,315,323,329,339,350,353,367,373,383,387,400,410,419,426,433,441,596,608,612,622,627,642,644,656,667,670,678,691,694,710,720,726,732,737,751,761,770,777,785,789,805,813,814,830,836,847,849,863,866,879,890,897,900,916,924,926,935,943,955,965,971,981,985,999,1006,1016,1023,1035,1043,1048,1057,1068,1074,1083,1091,1103,1109,1114,1125,1135,1144,1154,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,29,42,43,58,67,68,82,92,98,105,118,127,129,142,153,154,167,178,313,323,329,335,349,354,366,373,381,387,401,407,412,421,436,446,461,608,613,619,628,639,648,658,665,671,684,688,696,703,719,728,732,739,752,760,770,779,785,795,800,812,814,824,839,845,853,864,867,881,883,898,901,908,923,928,934,943,955,968,972,976,987,995,1004,1015,1020,1030,1038,1051,1060,1070,1078,1086,1089,1101,1107,1120,1129,1135,1139,1149,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,34,38,43,54,59,69,81,91,95,108,118,127,135,137,152,155,167,175,316,325,334,342,345,353,367,376,380,394,403,412,414,426,433,439,598,600,611,619,634,639,644,657,664,673,679,691,703,704,713,720,732,738,753,759,771,778,784,790,803,812,821,829,837,843,854,863,868,876,888,897,904,911,924,933,935,949,952,967,969,976,991,1002,1009,1016,1024,1029,1042,1045,1055,1065,1078,1080,1088,1101,1111,1114,1126,1137,1144,1147,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,17,26,34,43,53,62,72,77,91,100,104,112,127,130,139,146,155,165,178,313,326,329,336,346,357,363,374,383,388,396,406,419,426,436,440,597,607,617,622,626,635,646,654,661,670,684,692,700,710,718,725,731,746,754,758,768,776,785,793,803,811,814,831,839,845,855,858,865,880,884,899,902,913,919,926,934,947,952,959,975,981,987,997,1004,1012,1025,1031,1042,1053,1058,1062,1070,1079,1087,1097,1108,1121,1129,1131,1143,1148,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,23,31,41,42,52,64,71,77,90,101,108,119,124,128,141,149,161,165,175,314,324,334,336,344,356,365,369,380,393,398,410,417,422,429,437,448,602,611,622,633,642,647,656,666,672,678,693,697,709,720,724,731,739,747,761,766,773,782,796,797,811,821,824,831,848,849,863,869,882,888,897,908,911,924,925,936,947,952,965,973,977,990,998,1005,1015,1025,1035,1041,1047,1058,1066,1076,1087,1095,1099,1109,1117,1128,1134,1144,1154,1160,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,23,32,36,51,57,67,73,84,92,95,103,111,123,136,141,149,158,163,172,315,325,333,339,351,356,364,373,385,387,402,404,418,426,430,437,598,603,617,624,628,641,648,652,662,669,684,693,698,707,712,728,730,745,750,758,766,773,785,797,799,811,817,825,837,842,849,862,868,878,886,892,903,911,925,928,938,947,951,963,975,981,989,996,1007,1018,1020,1035,1043,1046,1061,1067,1077,1080,1095,1103,1110,1115,1127,1134,1139,1149,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,29,36,43,55,63,75,78,90,99,103,111,122,133,142,145,160,162,177,313,325,332,336,348,356,361,371,386,388,396,406,415,422,435,438,461,604,616,625,632,636,644,658,667,670,678,691,699,704,714,720,732,743,748,757,770,774,783,796,802,811,814,826,837,846,853,861,874,875,887,896,905,911,921,927,934,942,957,961,973,976,990,1001,1010,1017,1020,1031,1039,1052,1056,1063,1079,1084,1096,1097,1106,1114,1128,1136,1142,1152,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,22,29,35,50,57,60,72,80,90,101,108,119,127,134,143,153,155,167,171,315,322,327,338,348,353,362,370,385,389,402,408,416,427,430,444,598,605,614,626,631,640,647,656,665,676,685,689,696,710,719,724,731,745,749,757,763,776,781,793,797,812,820,827,834,847,855,857,872,874,885,892,906,916,924,933,936,943,951,959,976,977,991,1001,1008,1016,1027,1032,1041,1046,1055,1064,1073,1081,1090,1100,1111,1120,1124,1137,1141,1154,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,32,42,43,55,64,70,83,89,97,109,116,123,130,140,148,157,165,177,313,323,332,338,346,359,361,374,383,391,396,404,419,428,432,443,462,604,615,620,635,638,650,659,662,674,679,690,695,708,715,727,733,743,753,756,771,778,787,794,797,810,816,829,837,842,852,861,870,877,886,899,901,908,920,928,941,944,956,964,970,976,987,995,1006,1014,1021,1028,1040,1047,1058,1068,1076,1082,1093,1101,1105,1114,1123,1131,1146,1148,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,32,34,46,59,67,71,79,87,100,104,111,124,133,140,147,161,170,172,313,325,328,343,348,360,365,369,385,394,403,408,417,429,437,444,599,602,612,620,627,639,651,660,667,674,679,689,698,709,715,726,732,738,748,762,766,777,781,794,804,808,817,825,837,840,852,861,868,878,888,892,901,916,918,933,939,949,958,961,970,983,991,996,1009,1014,1020,1029,1036,1045,1056,1064,1078,1083,1094,1104,1106,1118,1130,1136,1147,1148,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,24,32,38,45,53,62,71,83,90,95,103,115,127,130,140,149,161,167,178,313,324,328,342,350,360,366,370,385,393,402,404,413,422,430,444,598,602,615,625,630,636,647,654,663,671,683,688,698,709,714,724,736,737,750,755,766,775,783,791,802,814,818,823,838,843,856,862,866,876,889,892,904,910,924,925,938,943,959,963,975,977,991,994,1004,1018,1026,1034,1042,1051,1057,1069,1072,1085,1092,1098,1111,1113,1122,1136,1146,1153,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,17,25,33,40,44,57,60,73,80,89,96,102,119,124,136,145,146,158,165,173,184,324,334,343,347,357,362,374,381,393,399,409,417,422,434,440,598,601,610,625,629,638,646,654,664,673,679,691,695,710,718,720,734,741,749,756,770,772,783,793,803,806,820,822,835,843,856,861,872,879,886,895,903,913,919,931,938,949,957,960,973,977,985,994,1009,1016,1023,1032,1044,1049,1056,1062,1072,1084,1088,1103,1110,1121,1130,1138,1144,1152,1159,1165	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,12,21,31,40,45,58,65,71,81,91,102,104,117,126,129,145,146,156,163,174,313,319,332,341,351,354,365,377,380,393,396,409,413,424,431,438,600,609,610,624,627,640,652,654,665,676,684,691,700,705,718,722,734,741,749,759,768,778,783,792,799,808,815,823,837,843,849,860,871,876,889,892,902,914,919,929,934,948,958,961,976,982,989,997,1006,1011,1027,1033,1036,1048,1056,1062,1074,1085,1093,1104,1111,1114,1125,1133,1143,1155,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,13,18,28,37,49,54,63,74,77,86,101,103,118,123,135,140,145,158,167,171,191,325,333,342,352,353,363,374,383,390,401,405,414,428,436,438,454,601,617,618,631,642,648,654,664,669,681,688,696,711,712,728,731,738,753,762,770,778,786,789,804,812,819,823,834,846,856,858,872,876,890,898,905,913,919,933,939,943,959,961,972,979,993,997,1003,1010,1026,1033,1038,1049,1054,1068,1078,1083,1095,1097,1111,1118,1123,1138,1143,1153,1161,1167	1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,22,34,35,43,57,62,71,78,89,96,104,112,122,135,138,151,159,165,177,189,324,328,336,350,352,362,371,380,389,403,404,412,428,437,442,598,604,612,623,631,641,643,652,667,672,685,687,702,706,718,724,735,740,747,758,769,773,785,792,800,810,817,825,836,842,856,864,872,874,888,896,904,914,923,927,935,947,953,960,973,982,985,996,1007,1018,1023,1034,1038,1049,1057,1067,1074,1080,1090,1098,1109,1115,1125,1133,1143,1153,1160,1169,1173	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,8,19,31,36,48,56,65,72,78,89,95,106,116,122,134,141,151,160,163,174,187,324,328,339,347,353,364,372,381,390,395,411,414,422,430,443,597,607,610,624,626,639,651,654,667,672,685,686,695,706,718,723,736,743,749,757,767,774,781,789,805,806,822,823,836,844,851,864,865,878,882,892,903,909,922,931,938,942,959,961,972,981,987,1002,1004,1015,1019,1032,1039,1047,1060,1068,1078,1084,1090,1103,1105,1119,1122,1131,1140,1150,1163,1166	1,0,0,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,19,25,35,46,56,61,69,77,91,96,109,118,126,134,137,145,155,163,174,179,322,334,336,344,353,364,370,378,393,395,406,414,424,434,443,470,609,617,618,631,635,648,655,665,671,680,686,695,711,712,720,736,742,751,761,768,773,787,795,798,806,817,830,834,842,852,865,870,881,884,898,905,910,924,933,937,946,954,960,973,984,991,1000,1005,1012,1019,1030,1044,1049,1056,1062,1074,1079,1091,1103,1111,1119,1127,1136,1143,1150,1157,1164,1177	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,12,21,30,39,49,57,61,70,80,87,99,109,111,127,132,141,153,158,168,177,185,319,327,337,351,353,362,371,381,390,398,406,416,422,434,438,598,604,610,622,630,640,645,654,666,670,686,690,699,710,713,723,729,744,750,760,769,776,786,792,800,814,820,825,838,841,853,861,868,875,884,897,900,916,919,927,936,947,953,964,968,982,992,1002,1004,1010,1022,1031,1038,1049,1056,1063,1076,1079,1094,1097,1106,1115,1126,1135,1146,1148,1161,1171,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,16,22,29,40,44,51,64,69,79,86,96,106,112,120,129,137,151,153,164,178,192,322,327,338,346,354,363,372,384,392,399,407,415,427,432,445,451,602,611,620,627,642,651,659,664,674,681,692,700,709,719,723,737,745,749,760,763,777,784,797,805,813,821,825,837,847,852,858,868,874,891,893,905,915,924,928,936,943,955,967,976,985,993,999,1002,1013,1025,1035,1037,1052,1057,1069,1072,1083,1088,1101,1110,1118,1128,1130,1143,1149,1161,1167,1175	1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,21,29,42,50,52,61,69,82,89,98,104,115,123,129,141,149,161,169,170,315,320,330,335,348,359,368,373,383,394,403,404,417,421,435,446,600,606,610,626,629,643,645,658,665,676,679,687,703,709,712,722,736,740,746,754,765,778,783,791,800,810,819,825,831,845,854,862,869,875,883,899,907,909,924,926,936,950,959,965,970,978,992,996,1003,1017,1025,1033,1037,1052,1057,1062,1073,1083,1090,1097,1106,1116,1122,1138,1140,1153,1163,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,26,38,49,58,59,74,83,85,96,108,117,122,134,137,149,160,168,173,183,322,332,343,348,353,367,376,382,394,397,405,417,423,433,445,600,601,611,620,631,639,651,659,668,674,681,687,694,710,718,720,737,738,754,762,768,772,783,793,799,814,820,828,837,843,855,862,873,880,888,891,902,909,924,930,936,950,959,963,970,984,986,1001,1004,1018,1022,1034,1040,1045,1061,1067,1078,1087,1089,1096,1111,1117,1122,1131,1144,1149,1159,1167,1175	0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,25,33,42,49,56,66,69,77,87,97,105,114,125,129,141,150,161,162,171,182,319,327,341,347,355,361,370,379,394,395,404,419,425,430,438,598,608,612,623,627,637,644,658,661,673,683,692,703,707,718,723,729,739,753,759,763,772,787,791,802,809,821,831,832,844,849,861,870,882,888,899,906,911,918,933,941,951,953,960,975,978,992,1000,1002,1015,1019,1031,1038,1048,1061,1064,1077,1087,1092,1100,1112,1116,1123,1132,1146,1154,1157,1170,1176	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,12,18,32,37,43,57,64,74,81,88,102,108,116,121,129,145,150,162,165,175,181,325,335,336,345,357,369,372,379,393,396,411,412,422,437,438,598,606,612,618,630,640,648,653,666,672,682,694,696,706,712,723,733,744,746,758,764,779,785,794,798,808,820,830,839,846,851,863,868,876,888,891,906,913,922,930,935,950,951,966,975,981,992,994,1007,1017,1023,1033,1041,1050,1061,1066,1074,1085,1092,1101,1113,1114,1127,1137,1147,1150,1162,1168	0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,24,29,41,50,58,64,74,82,87,98,106,115,119,134,136,151,160,163,173,314,320,334,337,352,357,367,375,379,394,400,404,419,425,436,440,469,608,617,619,635,640,650,654,665,670,683,688,699,710,717,720,732,739,750,759,768,774,787,791,801,810,822,825,838,845,851,860,866,882,887,892,901,909,924,930,942,950,954,965,970,976,990,996,1010,1012,1027,1028,1039,1048,1058,1065,1070,1084,1094,1102,1109,1113,1129,1135,1140,1148,1162,1166,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,23,28,34,46,55,63,72,78,90,100,106,116,128,133,138,149,159,165,171,182,318,329,341,344,358,362,374,383,390,398,407,412,425,429,442,468,607,610,620,628,639,643,657,664,671,677,694,696,708,715,721,735,744,751,760,763,772,781,790,798,810,821,828,837,848,852,865,867,881,886,894,904,911,918,928,936,950,953,968,969,982,988,999,1008,1016,1021,1032,1038,1047,1053,1068,1078,1084,1095,1103,1105,1115,1123,1138,1140,1148,1162,1170,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,24,34,37,50,54,62,73,77,92,101,105,114,127,130,138,147,154,162,175,183,320,334,335,349,352,362,376,379,387,401,404,413,428,433,444,466,606,610,623,630,638,651,652,660,673,685,690,696,706,716,725,735,742,749,760,768,776,782,792,800,806,820,827,833,840,850,863,873,880,882,893,905,910,922,931,937,944,954,965,969,981,992,995,1004,1012,1023,1028,1037,1053,1057,1066,1072,1081,1093,1099,1110,1119,1127,1138,1142,1149,1163,1169,1177	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
5,16,19,26,35,46,52,62,73,79,91,95,105,113,125,135,143,151,154,168,174,316,324,327,339,347,356,361,370,383,390,402,406,415,421,437,444,598,606,615,623,630,641,647,653,664,670,679,688,700,709,720,724,735,740,754,755,768,773,784,795,802,809,822,828,839,844,852,858,869,878,885,893,905,914,921,933,938,949,952,961,969,981,992,995,1007,1013,1019,1031,1043,1046,1057,1067,1071,1087,1089,1097,1108,1115,1127,1133,1138,1148,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,26,34,49,57,60,76,77,88,101,104,116,122,134,137,147,161,165,178,317,318,327,335,349,353,369,374,381,391,403,411,416,425,429,438,447,601,615,625,629,636,650,658,669,672,684,686,698,705,711,721,731,741,746,755,764,771,783,793,805,806,820,828,832,841,854,860,870,878,888,896,905,909,918,931,937,949,954,964,972,985,991,995,1008,1016,1024,1030,1037,1046,1054,1070,1071,1087,1093,1100,1106,1119,1126,1136,1140,1149,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,30,42,50,59,61,71,82,87,101,102,111,120,132,140,153,159,167,176,316,324,331,336,350,357,362,378,381,393,403,411,417,421,431,442,459,607,616,623,628,639,644,656,663,674,685,687,701,709,716,728,734,743,750,755,771,774,782,789,804,811,818,825,839,847,856,857,865,881,885,892,900,913,921,931,938,946,957,962,972,976,986,996,1008,1012,1019,1029,1038,1047,1057,1065,1076,1087,1089,1100,1104,1114,1127,1133,1146,1155,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,29,36,43,54,67,72,83,88,100,105,117,121,133,145,147,156,163,178,313,326,329,336,345,360,362,370,384,391,403,412,420,424,435,439,598,602,614,618,632,639,649,654,666,670,684,689,698,707,716,726,734,737,753,757,763,773,784,794,802,808,818,825,835,840,854,858,866,877,890,892,900,913,920,930,936,942,952,963,970,981,988,997,1004,1016,1025,1034,1040,1045,1059,1063,1075,1082,1087,1096,1112,1113,1124,1137,1143,1154,1157,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,34,39,47,58,67,73,82,89,97,103,116,120,133,139,145,155,170,177,314,320,331,342,351,354,363,373,383,387,399,407,415,422,431,442,457,608,613,620,632,643,644,653,663,671,686,690,702,708,714,725,730,744,750,761,769,773,782,795,799,814,815,830,835,847,854,864,865,882,886,892,905,908,918,926,936,942,952,960,968,980,987,1001,1004,1012,1026,1034,1042,1048,1060,1066,1077,1083,1091,1096,1111,1115,1123,1130,1144,1151,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,29,39,43,54,65,73,84,89,94,110,116,125,133,139,147,158,164,176,313,324,331,339,348,359,365,371,378,389,396,407,417,425,436,442,596,603,610,619,629,642,645,656,664,675,684,693,699,703,711,722,729,743,754,761,765,772,782,793,802,811,817,830,834,845,852,861,866,880,885,898,908,909,918,928,937,948,959,961,968,984,992,1001,1003,1014,1027,1036,1039,1050,1058,1063,1072,1082,1092,1101,1112,1115,1122,1138,1144,1150,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,20,31,41,51,52,67,73,83,86,96,107,113,126,133,144,148,154,167,172,316,325,327,340,345,357,362,371,381,389,396,411,415,425,435,441,598,604,617,622,630,640,645,653,668,675,682,688,698,703,720,728,731,740,748,761,768,779,787,791,797,808,820,823,835,842,850,865,866,876,890,899,902,912,921,927,938,945,958,959,975,982,991,997,1010,1012,1021,1028,1044,1047,1057,1067,1074,1079,1093,1102,1107,1116,1126,1133,1144,1150,1159,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,28,38,44,58,63,74,82,91,94,108,114,124,131,141,147,162,170,179,317,320,332,337,347,354,363,372,379,389,396,409,415,427,432,442,598,608,611,621,628,639,651,655,663,671,685,694,696,704,712,728,733,742,752,759,769,778,782,789,802,809,816,824,839,843,849,859,873,882,884,891,903,912,922,927,939,943,956,960,974,984,986,999,1006,1015,1026,1032,1036,1049,1057,1063,1073,1079,1088,1098,1111,1114,1129,1133,1143,1152,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,21,33,35,50,55,62,71,81,88,96,102,113,119,133,140,151,157,167,179,188,319,334,335,347,358,365,374,385,390,396,410,416,427,437,438,471,608,610,624,627,639,647,659,668,677,678,694,699,704,716,725,729,740,748,756,770,772,781,795,799,811,815,826,831,844,853,862,873,881,890,892,900,913,920,933,939,946,959,965,971,979,992,994,1004,1013,1020,1034,1042,1052,1060,1066,1078,1083,1089,1103,1106,1120,1124,1138,1140,1153,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,16,23,29,39,47,52,62,73,84,85,94,103,117,125,130,140,151,159,165,174,314,321,327,336,350,357,362,376,383,391,398,409,412,426,431,438,598,606,614,619,629,638,650,659,665,670,686,694,695,707,717,722,737,743,754,755,771,779,781,795,801,806,816,830,833,843,855,859,866,875,885,892,903,910,919,925,935,946,952,967,974,982,989,1000,1003,1018,1021,1029,1043,1053,1054,1064,1070,1086,1090,1102,1110,1116,1125,1131,1141,1149,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,32,35,51,53,61,68,78,86,99,104,111,122,131,142,145,158,163,172,317,324,332,341,350,356,363,375,380,391,402,408,417,428,431,440,600,603,612,623,630,638,645,654,665,677,678,692,699,705,713,722,736,740,747,759,764,779,784,796,803,810,819,825,838,842,856,859,873,879,883,893,901,916,919,928,934,946,956,967,969,981,987,996,1002,1011,1020,1035,1040,1049,1058,1068,1075,1079,1088,1099,1106,1121,1123,1138,1144,1155,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,25,36,50,51,67,75,82,88,94,108,114,121,132,140,153,156,163,171,313,324,335,341,348,352,367,371,382,386,401,405,415,425,436,446,596,606,612,619,633,636,648,654,667,670,685,691,701,706,713,725,730,738,749,759,763,778,783,791,800,805,814,825,839,841,851,857,869,876,884,893,902,912,920,930,942,943,956,963,972,984,988,999,1010,1011,1026,1029,1039,1047,1054,1062,1072,1085,1096,1097,1109,1117,1122,1135,1146,1150,1159,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,28,38,44,55,60,71,81,91,94,106,118,122,133,144,150,155,169,173,317,322,333,342,351,353,363,374,378,392,398,405,414,421,434,443,460,605,611,619,634,640,646,660,668,676,679,690,698,704,713,727,736,744,749,757,767,778,780,789,801,813,820,826,833,841,851,864,872,879,885,899,904,912,920,927,938,948,953,967,971,978,991,999,1003,1011,1025,1031,1040,1046,1060,1065,1078,1083,1090,1100,1104,1117,1122,1132,1145,1147,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,28,35,43,58,63,68,79,89,102,106,112,120,134,137,146,159,169,172,181,322,329,342,352,355,366,373,382,393,396,404,414,422,429,439,455,604,617,623,634,643,649,654,667,674,684,693,699,710,719,728,729,740,749,758,765,776,786,790,802,806,820,826,832,846,855,864,868,874,885,898,901,913,924,925,941,944,956,967,972,982,989,994,1007,1013,1027,1028,1038,1053,1054,1064,1072,1079,1090,1099,1113,1114,1123,1135,1138,1151,1159,1166	1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,9,17,27,35,43,52,65,76,83,91,96,106,116,127,130,144,148,154,170,178,317,321,328,341,351,359,365,372,382,388,396,405,417,427,433,442,466,607,611,621,632,643,650,657,665,675,679,694,695,708,716,727,735,743,754,757,764,773,782,791,805,811,815,825,836,846,850,860,867,876,883,891,907,908,918,929,938,947,957,959,972,980,987,996,1008,1019,1022,1027,1041,1052,1057,1064,1077,1079,1089,1098,1108,1115,1127,1135,1143,1152,1158,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,22,26,34,45,55,62,71,79,91,96,108,112,121,130,138,145,160,162,174,314,322,329,342,348,358,369,371,386,389,399,411,420,428,433,443,471,608,614,621,634,641,648,653,663,675,684,692,702,705,714,722,735,738,753,761,768,777,781,794,800,807,815,823,835,841,850,861,868,874,885,892,904,911,920,933,938,949,958,963,970,978,992,994,1010,1017,1025,1035,1042,1047,1056,1064,1077,1081,1090,1102,1112,1118,1124,1134,1142,1150,1164,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,30,41,49,54,66,68,84,90,97,107,119,125,132,144,147,161,168,177,315,320,334,339,348,354,362,372,385,387,403,409,416,425,430,442,599,602,612,621,631,640,649,656,666,675,680,687,698,711,715,725,730,745,750,755,770,772,788,794,799,807,817,829,831,847,852,864,870,877,883,895,907,915,919,931,939,945,954,961,975,980,993,1002,1008,1016,1020,1032,1044,1051,1058,1062,1076,1081,1089,1104,1111,1119,1122,1133,1139,1148,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,32,40,48,55,66,70,83,89,101,104,118,126,136,139,153,157,164,178,314,320,332,340,346,354,361,376,382,389,399,408,418,428,435,444,460,605,609,621,630,640,648,658,667,676,681,691,696,710,716,727,734,740,754,756,766,774,787,794,799,811,819,824,833,844,851,863,869,882,890,899,904,915,922,926,940,944,953,966,974,978,993,999,1008,1015,1023,1030,1041,1049,1053,1063,1078,1084,1095,1101,1110,1119,1125,1132,1144,1153,1162,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,25,41,48,55,67,72,80,88,100,106,117,123,130,143,146,154,166,176,313,320,332,337,351,360,366,370,380,394,400,406,418,421,431,444,453,606,611,625,627,638,643,656,667,669,684,689,699,705,715,721,735,743,749,760,765,777,787,791,805,808,821,828,835,843,851,860,871,882,884,899,903,913,918,926,938,950,951,961,969,982,993,994,1009,1011,1026,1032,1040,1045,1056,1062,1072,1087,1091,1102,1109,1121,1125,1133,1142,1150,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,33,41,47,54,67,69,79,87,96,107,115,120,135,145,151,155,169,177,317,325,333,338,348,352,365,371,384,393,401,411,420,421,431,446,463,605,617,621,629,636,645,656,668,672,678,689,702,705,713,722,729,739,747,757,766,776,781,792,803,813,816,827,835,844,855,857,867,877,883,893,908,910,921,932,934,942,954,965,971,981,986,1000,1002,1010,1020,1029,1041,1053,1057,1065,1076,1082,1092,1099,1106,1118,1122,1130,1146,1151,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,30,38,44,55,61,70,81,89,95,108,115,124,132,137,148,161,167,175,314,322,335,340,346,359,361,376,384,389,396,404,414,425,431,443,600,608,615,622,633,635,645,655,662,673,685,694,696,704,714,724,735,739,753,755,770,774,788,789,802,811,821,830,833,844,852,863,871,881,885,899,900,914,919,925,934,945,956,968,974,980,986,1002,1005,1015,1019,1033,1037,1052,1055,1068,1077,1084,1088,1096,1112,1114,1124,1132,1142,1149,1161,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,19,32,35,46,53,67,71,81,90,100,105,117,126,129,141,152,154,168,178,314,320,327,337,347,358,364,375,380,389,397,405,419,421,433,443,459,609,611,619,629,641,650,656,668,675,685,688,700,710,712,723,736,741,748,754,766,777,780,796,798,810,820,829,834,848,852,862,865,876,885,894,906,911,922,933,940,946,952,963,969,976,988,996,1010,1016,1020,1031,1037,1045,1061,1065,1072,1087,1089,1100,1107,1114,1128,1136,1142,1155,1163,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,23,31,39,43,55,65,74,84,86,94,103,115,127,131,139,150,158,170,178,314,322,330,343,347,354,362,372,386,392,400,406,420,422,435,446,460,606,611,625,627,637,646,658,664,671,678,690,703,707,713,722,733,745,748,762,770,778,787,795,803,808,815,823,839,842,849,863,873,879,888,895,906,910,917,930,936,949,953,967,971,984,987,999,1009,1011,1024,1035,1039,1047,1061,1065,1076,1081,1091,1096,1109,1116,1126,1134,1141,1148,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,18,31,39,46,52,62,69,81,89,95,106,112,121,131,138,152,160,162,173,315,320,329,341,346,360,364,376,379,390,400,408,417,424,431,441,462,608,610,620,631,639,650,655,661,673,684,691,695,707,716,723,735,741,750,756,766,780,782,790,805,808,821,824,834,840,853,865,866,874,890,897,900,915,919,933,936,948,958,960,976,983,992,1001,1002,1015,1026,1031,1040,1049,1059,1062,1071,1080,1096,1101,1106,1118,1123,1134,1143,1154,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,33,34,43,59,64,74,84,86,99,107,111,120,130,141,150,155,163,172,317,319,330,336,351,359,362,375,383,390,397,410,420,423,431,441,448,602,614,620,631,638,647,658,668,669,679,689,696,710,719,720,729,745,752,760,766,777,780,791,804,814,818,829,837,847,850,859,869,882,887,896,903,909,924,931,936,950,952,967,969,979,988,995,1008,1013,1021,1034,1042,1052,1058,1062,1074,1081,1090,1102,1104,1117,1122,1137,1144,1153,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,33,34,46,55,62,70,85,90,99,103,111,124,134,140,146,161,170,177,318,324,328,336,347,353,362,377,385,386,402,405,418,424,435,445,462,606,613,621,629,640,645,656,667,676,682,693,698,708,718,723,729,739,749,758,764,773,782,792,800,810,821,828,839,848,854,864,873,874,890,897,905,915,917,933,939,945,955,959,974,983,993,1001,1002,1015,1022,1035,1040,1049,1054,1068,1077,1080,1091,1101,1111,1113,1129,1137,1139,1155,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,24,28,41,42,51,63,74,84,86,101,110,113,120,132,145,148,157,163,177,182,321,329,335,350,360,365,371,380,390,396,408,420,424,433,445,596,602,617,621,628,636,646,655,664,670,683,694,698,705,717,727,730,743,750,756,766,779,785,796,801,810,819,830,834,848,855,857,872,877,889,896,901,914,922,927,941,948,951,964,972,977,987,998,1009,1013,1022,1030,1043,1046,1056,1067,1074,1080,1089,1100,1110,1117,1129,1137,1139,1152,1160,1164	0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,27,37,44,55,60,69,84,93,94,108,117,126,129,139,149,157,168,177,185,321,332,341,344,356,368,376,380,393,395,406,420,425,430,439,456,607,615,618,628,637,643,659,662,671,681,687,700,703,716,720,730,742,746,755,763,775,785,792,799,813,821,825,838,841,852,859,866,875,883,898,900,910,922,928,938,948,955,963,973,978,988,996,1003,1014,1020,1034,1037,1048,1056,1066,1078,1084,1089,1102,1104,1114,1125,1133,1142,1154,1157,1172,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,17,25,40,44,57,64,76,81,93,96,108,117,126,129,138,153,154,167,172,188,325,328,342,347,353,367,372,379,388,395,403,420,423,437,445,598,608,613,622,629,636,648,652,662,673,684,687,697,711,718,721,733,744,753,762,767,775,784,797,800,812,822,830,835,841,848,859,873,875,885,896,904,909,920,928,936,950,959,965,968,977,990,999,1007,1012,1025,1028,1037,1048,1055,1067,1077,1081,1089,1101,1108,1119,1123,1137,1143,1153,1158,1167,1173	0,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,9,17,30,35,47,57,62,68,78,86,97,103,118,120,130,142,146,157,164,174,180,318,330,341,349,353,368,377,380,387,400,411,414,426,429,442,599,607,615,621,633,642,648,655,663,669,683,687,695,709,715,722,731,739,749,755,770,774,782,789,798,813,815,827,839,841,852,860,871,875,885,899,905,915,923,926,938,944,952,963,975,981,987,1001,1007,1015,1022,1034,1043,1050,1060,1063,1077,1081,1090,1101,1108,1116,1123,1137,1141,1152,1158,1166,1174	0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
2,9,21,33,37,50,55,67,75,83,85,94,110,118,126,131,138,148,158,170,175,193,320,327,340,348,353,364,374,385,393,402,405,419,424,435,443,463,607,617,619,634,635,644,654,663,671,679,692,702,703,715,723,735,739,747,761,770,772,786,792,801,812,818,830,836,846,854,858,866,877,887,899,907,908,917,928,941,942,956,962,969,978,989,994,1004,1011,1023,1035,1039,1052,1054,1064,1076,1080,1093,1097,1108,1117,1122,1138,1146,1151,1162,1172,1177	0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,22,27,37,49,51,62,76,79,85,96,108,117,123,135,138,151,154,166,175,196,324,331,340,346,357,363,372,381,387,401,406,419,426,430,441,453,606,614,622,633,639,649,654,663,672,684,686,702,710,712,722,730,743,749,762,767,773,784,794,799,808,819,824,838,843,854,859,870,881,890,896,899,913,921,932,936,946,958,963,968,978,985,1001,1003,1018,1025,1034,1038,1046,1059,1070,1073,1079,1093,1103,1106,1114,1122,1135,1140,1148,1161,1168,1178	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,19,30,35,48,51,67,71,82,89,100,106,115,120,132,139,152,155,170,174,185,325,328,337,347,355,361,370,381,393,400,409,416,428,434,443,598,605,613,621,634,638,651,657,663,672,683,689,695,704,717,725,730,743,747,760,767,780,782,789,805,811,821,823,838,844,849,860,873,879,887,894,903,913,918,930,937,948,955,967,974,984,989,1002,1005,1017,1027,1028,1040,1048,1055,1063,1073,1079,1090,1103,1106,1117,1125,1138,1139,1155,1159,1171,1174	0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,13,17,33,38,49,59,68,70,80,91,99,103,118,127,134,137,152,157,166,170,182,319,331,338,347,358,369,374,382,388,398,410,415,421,431,445,453,601,610,621,627,639,643,655,663,672,678,692,697,704,715,727,731,738,752,756,767,772,783,794,802,809,820,829,831,842,855,862,870,882,885,899,900,912,923,933,935,951,955,967,968,978,990,997,1004,1016,1022,1029,1039,1048,1057,1063,1076,1081,1090,1097,1112,1114,1128,1138,1142,1152,1159,1168	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,11,23,31,37,46,57,67,71,83,85,98,104,111,125,136,139,145,162,163,171,314,320,334,337,345,357,367,371,386,388,403,407,420,429,437,445,597,608,614,624,630,635,648,656,666,676,681,688,695,709,715,722,736,740,753,758,767,779,783,793,800,806,817,823,831,846,855,865,872,880,889,895,901,915,921,928,939,944,958,967,973,981,993,1000,1005,1014,1023,1036,1043,1046,1057,1067,1071,1081,1092,1104,1106,1117,1121,1134,1147,1153,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,26,34,45,53,65,76,84,90,102,104,117,127,128,138,152,158,167,170,182,320,329,340,346,354,365,373,380,392,400,406,414,429,435,441,596,603,610,624,627,636,643,655,663,672,684,690,697,711,714,728,733,744,752,763,768,777,785,789,797,813,821,824,838,843,851,863,868,879,885,895,902,912,917,933,940,944,955,966,974,981,992,1001,1007,1017,1025,1033,1037,1045,1060,1069,1076,1079,1095,1101,1110,1117,1122,1137,1141,1147,1156,1169,1176	1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,24,25,39,50,53,61,68,78,90,100,104,111,121,135,142,149,155,165,174,179,325,332,339,349,356,364,374,378,391,403,411,413,421,431,444,447,605,617,622,628,639,650,652,664,676,680,694,698,709,714,722,734,738,753,760,765,779,781,794,803,806,816,823,832,842,855,864,872,877,890,891,900,915,919,927,935,945,955,965,971,978,990,995,1004,1019,1026,1032,1037,1048,1059,1066,1074,1083,1092,1101,1106,1119,1127,1134,1146,1152,1157,1168,1173	1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,28,39,46,57,61,68,83,85,94,103,115,122,131,140,150,154,162,171,180,320,326,343,351,360,361,377,385,390,402,407,413,426,436,443,598,602,609,621,627,639,645,653,665,677,682,694,698,703,718,724,734,738,751,758,766,772,783,791,800,806,819,830,837,842,852,864,868,881,888,898,904,909,920,933,937,950,952,964,974,978,987,1001,1004,1014,1026,1032,1036,1045,1059,1067,1073,1083,1088,1104,1108,1119,1128,1137,1147,1153,1157,1169,1174	0,1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,17,23,32,42,48,52,60,70,77,92,97,109,115,124,134,138,147,161,162,172,192,326,329,337,352,353,365,374,378,391,398,408,413,425,436,446,455,608,614,620,633,642,651,652,664,674,679,693,696,703,714,726,732,743,751,759,770,775,783,793,803,806,822,829,834,848,853,857,867,878,889,896,901,909,920,929,941,950,956,961,975,978,987,1000,1004,1015,1021,1032,1039,1045,1059,1069,1072,1080,1092,1096,1109,1118,1123,1138,1141,1148,1163,1168,1175	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,19,29,37,49,57,67,74,77,91,97,107,111,124,134,140,150,161,165,177,202,325,332,336,344,359,363,377,383,393,399,410,412,420,434,440,460,601,612,618,634,641,643,659,669,672,682,691,697,704,720,726,729,745,748,761,768,775,783,790,798,811,817,830,838,842,850,858,866,882,883,896,907,916,922,930,938,951,952,966,971,982,988,996,1010,1014,1027,1034,1038,1053,1058,1064,1072,1083,1089,1099,1107,1116,1130,1134,1139,1150,1156,1171,1173	1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,21,33,35,46,54,60,73,78,93,100,107,112,126,135,142,153,157,166,175,195,323,335,340,351,360,369,376,383,394,401,407,412,428,433,442,599,603,616,619,626,641,645,652,664,672,684,687,695,705,712,727,735,745,746,761,765,772,787,796,803,813,817,823,833,842,848,858,866,876,890,899,901,908,919,931,936,944,956,965,970,985,990,1001,1004,1011,1026,1030,1042,1045,1059,1070,1073,1082,1090,1104,1106,1118,1126,1136,1142,1150,1164,1169,1177	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,14,25,29,35,46,59,62,70,78,86,99,103,116,124,130,141,150,160,163,172,315,325,330,342,346,356,362,378,381,393,396,411,418,426,433,443,598,603,611,621,626,643,650,657,668,677,684,694,700,709,713,728,736,744,752,756,768,775,786,795,804,811,817,830,836,841,854,857,866,876,885,897,906,909,924,925,936,949,954,964,970,978,993,996,1004,1016,1027,1030,1037,1046,1061,1070,1078,1085,1091,1096,1113,1120,1128,1134,1146,1154,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,26,42,46,58,63,74,79,85,101,105,119,127,129,143,147,161,165,176,313,318,331,338,351,356,367,370,381,391,399,403,417,421,433,444,600,608,613,619,633,641,650,653,669,670,683,693,699,710,719,721,734,741,753,761,769,774,785,789,801,806,821,828,835,847,856,861,869,877,887,893,907,913,924,929,941,942,957,965,972,984,986,996,1002,1018,1024,1032,1042,1045,1054,1066,1073,1080,1093,1099,1107,1113,1130,1132,1145,1147,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,33,35,42,56,65,68,82,90,101,110,113,122,128,139,150,159,167,175,315,321,332,342,346,357,363,373,380,388,396,407,416,426,431,443,596,601,617,625,630,638,651,660,667,677,678,691,702,710,712,723,731,745,746,760,764,778,786,792,798,811,818,823,831,840,855,864,873,882,886,894,902,913,925,926,938,942,954,962,974,984,989,998,1009,1016,1027,1028,1044,1052,1056,1066,1078,1083,1095,1100,1112,1114,1123,1138,1143,1155,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,24,26,34,42,53,64,70,83,91,101,104,116,119,131,142,146,159,168,171,315,324,329,339,345,357,365,373,384,393,402,406,414,422,430,446,600,609,614,622,632,639,644,659,661,669,678,691,699,711,716,723,733,745,747,758,767,774,788,796,805,812,821,829,838,844,853,863,873,877,883,897,906,913,918,930,937,949,952,966,973,982,989,997,1002,1017,1022,1029,1036,1050,1059,1062,1073,1083,1090,1104,1106,1115,1123,1135,1140,1154,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,19,27,36,47,53,60,72,79,87,95,106,115,122,128,143,145,155,166,178,315,320,328,338,344,357,362,372,386,388,395,406,412,423,432,438,599,604,609,618,630,641,648,653,668,671,680,691,696,704,716,723,734,739,749,756,767,772,780,796,801,813,819,827,836,842,850,862,871,879,883,892,907,909,921,932,937,944,952,960,971,981,986,1001,1007,1012,1025,1028,1040,1052,1056,1066,1073,1085,1093,1100,1109,1118,1122,1130,1143,1153,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,30,40,48,53,66,68,83,92,100,107,117,119,131,138,151,153,165,171,313,321,333,339,351,353,366,378,381,395,396,404,412,422,434,440,600,604,615,618,627,637,651,653,662,670,681,694,701,709,717,720,734,743,747,758,771,774,788,790,799,810,818,828,836,847,848,861,873,882,885,898,903,913,921,933,936,950,959,967,974,983,988,999,1004,1013,1024,1028,1038,1051,1057,1065,1078,1084,1091,1103,1112,1121,1122,1137,1145,1148,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,30,37,46,57,60,73,81,85,101,106,112,122,133,138,150,162,164,172,314,320,327,343,348,358,362,376,380,388,402,403,419,426,429,442,466,601,613,621,629,637,651,660,668,672,682,689,696,710,719,724,729,740,754,759,769,774,782,794,801,811,815,826,835,844,849,860,869,876,884,893,901,916,917,932,934,946,953,960,971,980,985,995,1007,1013,1026,1029,1041,1049,1055,1063,1071,1080,1089,1101,1108,1114,1124,1133,1140,1155,1161,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,31,37,44,57,65,70,81,86,95,104,117,120,133,143,148,154,168,177,317,319,329,337,350,356,364,374,378,387,403,404,416,426,433,441,469,601,615,622,633,639,649,658,668,677,683,689,696,709,716,722,734,742,749,757,767,774,785,791,802,810,818,826,839,841,853,862,873,875,883,897,899,909,923,929,936,949,957,962,970,978,986,999,1005,1011,1024,1029,1041,1045,1056,1066,1073,1080,1095,1099,1112,1118,1123,1136,1140,1148,1161,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,20,32,38,46,53,64,71,84,91,95,104,114,124,133,137,147,158,168,174,211,320,331,336,344,356,368,372,382,393,395,411,414,428,432,441,597,601,611,623,629,635,644,652,668,672,684,690,701,708,713,728,730,742,746,761,770,777,788,793,802,808,817,824,834,841,849,863,869,881,882,893,902,912,921,930,942,947,957,966,976,981,989,998,1003,1014,1020,1030,1038,1045,1060,1066,1071,1080,1089,1098,1108,1115,1122,1137,1139,1149,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,21,31,41,45,57,68,75,79,90,97,110,117,122,129,137,148,160,163,172,314,321,328,341,347,357,368,375,381,386,401,404,416,422,433,439,449,606,617,621,631,642,650,653,664,671,679,689,700,710,716,725,733,743,751,759,768,773,788,796,800,809,820,825,832,845,855,860,870,878,890,897,905,914,924,928,936,945,958,961,974,979,989,999,1004,1014,1026,1028,1043,1053,1056,1062,1074,1084,1095,1098,1112,1115,1125,1136,1139,1153,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,26,40,49,54,59,70,80,85,96,110,112,124,134,139,149,153,169,173,314,321,330,335,350,357,361,373,380,390,397,410,417,425,431,443,597,605,613,621,634,641,648,652,660,676,683,692,699,703,717,724,735,740,752,756,770,773,780,797,800,809,817,830,838,843,852,863,870,875,884,892,904,912,925,929,936,947,958,963,968,978,993,1000,1003,1018,1021,1032,1040,1052,1057,1068,1070,1083,1090,1102,1109,1116,1123,1138,1144,1151,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,32,41,49,52,66,72,85,86,99,109,117,126,130,138,151,161,164,174,317,321,334,342,344,359,364,370,379,392,401,408,419,421,435,443,470,608,609,619,634,637,643,659,661,671,685,694,695,704,712,725,736,744,747,756,770,774,784,793,804,807,814,831,833,840,851,861,866,877,887,894,905,909,923,931,935,949,959,965,974,976,987,1002,1004,1015,1021,1028,1037,1050,1059,1066,1071,1083,1095,1102,1111,1119,1128,1133,1143,1152,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,31,40,43,57,63,72,80,87,100,108,113,127,132,140,152,160,168,174,314,325,328,340,348,360,368,376,379,394,398,404,413,424,436,443,599,606,610,623,632,636,646,654,663,673,680,693,701,706,719,724,732,738,752,758,764,780,787,795,799,809,818,828,836,844,855,857,870,877,887,896,907,910,924,929,941,947,958,964,969,979,989,998,1010,1018,1026,1032,1038,1046,1060,1066,1071,1087,1092,1100,1111,1119,1130,1136,1144,1149,1164,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,24,29,39,44,51,65,70,77,88,100,108,111,122,135,144,145,156,162,173,183,318,328,342,351,357,362,376,380,393,395,406,413,425,435,443,462,603,617,618,626,642,651,656,666,669,681,687,700,709,719,721,729,740,749,755,766,773,788,792,801,810,814,824,837,846,855,863,865,875,887,892,899,911,917,929,935,949,958,965,975,983,985,998,1009,1015,1020,1031,1038,1048,1058,1066,1076,1083,1088,1096,1107,1114,1122,1136,1145,1155,1158,1169,1176	0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,19,31,36,50,52,61,70,77,89,95,103,117,124,130,140,148,158,165,179,317,319,329,337,346,353,364,373,382,393,401,410,416,427,429,438,599,603,612,624,628,638,647,656,665,676,685,692,697,708,713,723,736,744,748,762,763,773,781,790,801,810,820,824,832,846,849,861,865,880,883,894,906,916,924,925,941,944,957,963,974,979,985,993,1002,1018,1023,1032,1043,1046,1055,1066,1071,1084,1095,1096,1110,1115,1126,1132,1140,1148,1164,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,29,36,46,57,60,71,79,90,100,107,111,122,135,142,153,156,166,175,317,324,331,337,348,360,367,373,379,393,397,406,415,425,430,445,598,607,616,618,627,639,647,655,666,670,679,691,697,709,719,726,730,739,751,754,768,776,783,797,798,806,819,830,833,843,849,862,871,874,888,898,904,914,919,932,940,943,951,961,971,982,991,994,1010,1011,1026,1029,1044,1051,1061,1065,1077,1083,1094,1104,1111,1115,1123,1134,1144,1153,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,26,37,46,53,61,73,84,90,99,105,112,125,134,137,147,154,166,176,316,322,334,342,348,360,362,372,386,394,397,411,420,421,433,439,447,608,613,623,632,641,647,654,663,669,685,687,701,708,714,721,730,741,754,762,766,774,782,789,802,812,814,830,833,841,852,861,866,880,888,898,906,908,919,926,942,947,951,960,970,977,991,994,1006,1011,1027,1028,1042,1051,1054,1062,1078,1084,1093,1098,1112,1120,1124,1131,1140,1150,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,20,26,42,47,54,61,76,77,91,101,109,113,122,128,139,150,157,170,172,313,324,334,340,348,358,364,371,384,390,401,409,412,421,432,439,600,607,615,624,629,641,644,655,665,675,680,687,702,708,717,726,729,737,753,761,765,776,784,794,804,806,819,825,833,841,852,861,866,877,888,896,903,910,921,931,934,949,951,960,973,983,992,1000,1005,1012,1020,1030,1040,1051,1060,1064,1076,1081,1089,1099,1112,1118,1124,1137,1141,1151,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,26,37,51,56,62,75,79,87,98,109,114,126,131,139,145,153,165,171,318,320,327,339,345,357,368,375,379,393,403,410,420,427,436,438,598,607,617,621,633,636,645,654,666,675,682,690,696,708,713,726,734,737,748,762,763,780,787,789,800,809,816,823,834,843,855,865,871,876,891,899,900,914,924,930,941,944,953,966,973,981,987,997,1008,1018,1019,1035,1038,1050,1061,1070,1075,1086,1094,1101,1109,1118,1128,1133,1142,1152,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,25,39,44,52,60,74,78,89,98,105,117,125,133,139,153,156,169,172,314,325,327,340,343,354,368,372,383,390,397,406,413,426,433,445,596,604,614,618,629,642,646,653,662,672,679,694,696,711,714,726,732,743,747,763,769,776,782,793,803,806,818,829,839,845,852,857,873,881,889,893,906,913,925,927,937,950,953,967,974,978,990,999,1009,1012,1026,1033,1043,1050,1057,1070,1074,1086,1093,1101,1105,1115,1125,1135,1142,1154,1162,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,25,40,50,54,64,73,77,87,99,109,119,123,130,138,149,159,167,172,316,323,328,338,346,357,365,370,378,390,395,409,415,425,432,439,600,609,616,621,630,641,644,657,669,674,682,693,695,711,720,727,729,739,754,760,763,772,780,792,805,808,819,823,838,840,857,859,865,879,890,891,900,912,924,925,937,943,954,966,972,981,989,995,1003,1013,1027,1033,1037,1050,1060,1067,1077,1086,1093,1102,1112,1115,1126,1133,1142,1153,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,31,42,50,54,62,69,85,93,97,105,118,123,130,140,150,160,167,173,317,323,329,340,348,359,363,372,379,387,397,406,413,421,434,441,459,604,616,621,631,642,648,659,666,673,685,687,699,704,713,724,735,741,748,761,763,778,781,790,803,812,818,827,836,843,853,862,867,877,884,891,906,911,923,932,940,947,958,961,971,977,991,995,1006,1011,1020,1030,1037,1050,1056,1069,1077,1081,1094,1097,1108,1119,1129,1135,1142,1155,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,28,35,44,54,62,72,77,86,95,109,111,122,128,144,145,156,166,171,316,321,335,341,351,353,365,375,383,388,403,408,413,424,436,446,449,608,616,624,629,640,649,655,663,671,678,691,701,711,717,725,729,737,746,759,768,780,782,792,805,813,819,830,839,844,850,863,869,874,891,895,904,916,919,931,934,943,957,959,973,980,989,997,1005,1018,1027,1034,1036,1049,1060,1068,1078,1087,1095,1099,1112,1119,1130,1134,1146,1149,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,31,35,44,57,60,70,82,93,96,103,115,121,128,142,151,157,167,173,316,323,328,338,349,357,366,378,379,391,396,406,417,423,432,439,600,605,617,625,629,642,649,659,661,675,681,688,695,709,716,720,730,738,746,754,764,773,780,795,801,810,818,823,832,843,849,860,867,882,885,892,907,908,920,932,940,950,957,965,969,981,988,994,1009,1012,1024,1032,1038,1046,1060,1068,1074,1081,1095,1098,1107,1115,1122,1133,1139,1150,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,31,35,45,55,62,69,81,91,99,109,113,122,132,138,145,155,170,172,313,320,331,336,351,360,362,370,386,388,401,407,413,423,434,445,449,608,609,624,631,642,648,659,661,669,681,694,702,708,717,721,730,738,749,757,769,780,782,790,805,811,816,829,832,846,855,865,868,880,890,897,904,909,920,928,936,946,951,960,971,977,989,996,1003,1014,1022,1036,1040,1051,1058,1064,1073,1079,1089,1097,1113,1119,1128,1136,1142,1148,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,32,40,48,57,63,71,84,91,98,106,112,121,135,142,148,160,169,173,318,319,334,343,344,355,363,376,381,390,402,406,413,427,435,442,598,606,613,623,633,639,650,655,663,671,683,687,702,708,714,728,729,739,751,761,768,780,782,791,805,811,818,829,836,846,848,862,865,879,885,897,901,912,921,933,935,943,957,964,973,984,986,1000,1008,1012,1021,1034,1041,1045,1059,1063,1073,1087,1095,1100,1112,1115,1125,1136,1146,1148,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,19,28,41,46,53,68,69,80,85,98,104,113,123,128,138,149,162,163,178,181,323,331,336,347,360,367,376,385,393,402,408,416,429,432,438,597,608,616,620,634,637,647,660,662,672,681,691,700,710,714,728,729,742,746,760,766,779,781,796,805,810,815,824,838,845,851,857,866,881,884,894,902,909,924,930,937,949,955,962,970,983,988,997,1003,1018,1024,1032,1039,1048,1061,1062,1074,1087,1090,1101,1108,1117,1128,1131,1147,1148,1160,1165,1175	1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,21,31,38,47,58,65,69,80,89,101,110,111,125,130,142,150,157,166,174,179,323,335,339,345,353,362,377,386,394,395,412,417,428,429,439,453,608,617,624,632,640,652,655,666,677,680,689,700,709,715,721,736,743,746,757,768,773,784,793,800,809,822,828,834,843,852,857,870,875,885,893,903,910,917,928,941,942,954,961,973,977,993,999,1009,1015,1019,1030,1041,1046,1059,1067,1076,1083,1091,1102,1112,1115,1123,1137,1143,1154,1162,1168,1177	1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,25,30,41,48,53,64,70,81,91,99,108,119,120,132,137,153,156,162,172,186,324,329,338,346,353,367,371,382,392,395,406,418,421,436,445,453,605,616,625,628,641,646,653,667,670,678,693,695,704,712,720,736,739,752,760,769,772,781,792,800,809,821,823,838,841,852,863,871,875,883,897,906,912,924,926,934,946,958,959,974,979,987,999,1010,1017,1019,1033,1041,1050,1058,1067,1078,1079,1090,1103,1111,1120,1123,1132,1145,1149,1162,1167,1177	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,22,26,39,51,59,64,71,79,89,100,108,115,127,134,136,151,159,165,175,185,324,333,339,346,360,365,373,384,393,395,403,415,422,430,440,597,608,613,618,630,640,648,660,665,671,684,692,696,705,713,727,731,739,751,760,771,773,780,791,805,812,821,824,834,843,850,859,869,877,889,895,907,910,919,933,935,948,956,967,972,976,993,998,1008,1011,1021,1028,1042,1045,1056,1065,1077,1084,1092,1102,1111,1114,1126,1135,1141,1148,1163,1167,1174	0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,11,24,31,41,45,53,64,72,81,91,97,107,111,125,129,143,147,160,168,175,189,323,333,339,348,356,367,377,379,392,398,407,412,423,434,445,596,609,610,619,628,642,648,655,661,675,682,688,700,711,712,724,731,745,747,760,766,777,783,793,805,808,816,824,837,841,853,860,868,876,886,895,900,916,917,931,938,943,955,965,974,982,992,999,1010,1019,1027,1031,1041,1051,1059,1062,1077,1086,1090,1101,1106,1118,1122,1136,1140,1149,1163,1165	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,22,29,39,47,55,65,76,77,88,97,107,117,122,134,137,153,155,164,175,195,318,327,338,347,357,361,371,385,392,400,405,413,425,431,442,597,602,615,620,631,640,650,653,661,669,684,688,703,710,717,727,732,739,752,758,767,778,782,788,805,810,817,826,837,840,856,862,871,878,889,892,900,912,923,925,936,949,952,961,974,978,986,993,1004,1017,1021,1033,1037,1046,1059,1063,1071,1080,1092,1102,1107,1117,1125,1138,1145,1153,1161,1167	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,15,23,26,39,47,56,63,76,84,87,101,105,116,122,129,138,150,157,165,174,195,320,334,336,347,358,362,369,386,388,400,408,420,426,436,445,596,607,610,624,634,635,645,655,660,672,678,686,697,711,716,726,732,742,754,762,771,773,786,796,800,809,817,831,836,840,855,863,871,879,883,894,900,908,917,930,939,946,955,962,968,978,990,994,1007,1016,1022,1035,1039,1049,1056,1070,1077,1084,1093,1100,1108,1115,1129,1132,1145,1150,1160,1172,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,14,20,30,38,48,56,65,75,79,90,97,108,117,119,131,137,146,156,165,171,184,323,329,341,349,356,364,377,383,391,396,411,413,428,434,445,600,605,612,620,631,643,645,652,669,672,680,688,701,710,717,725,730,744,748,754,763,777,782,789,803,810,814,829,831,843,853,857,868,881,890,895,907,914,921,931,939,948,956,964,968,983,989,999,1007,1014,1027,1028,1043,1046,1055,1064,1071,1086,1091,1096,1110,1119,1129,1136,1142,1151,1161,1169	1,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,23,28,40,50,56,65,71,82,88,98,108,112,125,136,142,149,156,164,171,317,324,328,335,348,355,366,373,385,393,397,408,419,421,430,444,463,607,613,618,632,639,650,658,663,669,682,687,698,710,712,728,731,738,753,761,766,776,788,793,801,807,816,825,839,844,855,862,869,881,890,897,905,916,918,930,936,950,954,965,974,982,992,1000,1008,1019,1026,1033,1039,1048,1056,1066,1076,1082,1090,1104,1107,1116,1128,1134,1147,1150,1161,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,27,40,42,55,64,73,79,89,94,107,114,124,135,143,147,160,165,172,180,326,327,337,346,360,367,373,384,388,396,406,420,421,436,439,463,604,610,623,634,640,649,659,662,670,683,692,700,711,718,723,734,744,753,762,763,776,785,792,799,812,817,827,834,840,856,861,872,876,885,897,902,910,925,933,941,949,956,964,975,984,986,996,1002,1014,1027,1034,1036,1051,1058,1063,1074,1081,1095,1102,1110,1118,1123,1132,1141,1151,1156,1170,1174	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
6,13,17,29,38,43,59,64,68,80,93,94,104,115,124,128,143,149,162,163,178,180,323,334,338,347,359,363,374,379,393,400,407,415,421,432,440,599,605,611,621,628,641,646,655,663,677,678,691,699,707,711,728,733,746,752,762,768,778,787,790,803,808,822,825,836,840,854,860,868,878,889,899,906,910,917,928,941,942,954,962,974,980,987,996,1003,1013,1024,1031,1041,1050,1058,1065,1071,1086,1092,1097,1106,1120,1122,1136,1144,1155,1158,1167	0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,12,21,32,42,49,51,65,69,82,90,94,110,113,121,133,138,148,158,166,172,182,326,330,335,346,357,365,373,380,388,402,406,414,428,436,441,597,603,610,626,630,639,644,657,668,674,682,690,703,709,718,723,734,743,751,754,768,772,788,794,805,808,822,826,832,841,855,864,869,877,886,892,901,909,923,931,939,945,951,965,969,979,986,996,1006,1018,1023,1032,1044,1049,1058,1065,1074,1079,1092,1101,1107,1115,1125,1135,1144,1154,1159,1167	0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,23,26,35,45,57,64,69,77,85,99,107,117,122,129,140,146,160,169,171,191,322,327,338,351,356,363,375,382,389,397,405,419,422,437,441,599,601,610,621,628,636,647,657,663,677,684,687,701,707,713,721,731,738,748,759,769,773,781,796,803,806,815,826,839,844,856,860,871,881,887,893,903,913,922,928,939,949,951,960,973,982,986,993,1007,1014,1025,1028,1042,1047,1054,1062,1073,1084,1095,1098,1111,1113,1128,1134,1140,1150,1163,1170,1175	1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
8,15,23,28,41,46,58,65,70,81,92,98,105,114,124,133,141,150,160,167,178,179,319,332,340,349,354,362,377,383,394,400,412,417,424,432,441,462,608,611,618,631,639,647,660,668,673,681,689,700,710,714,722,731,738,746,761,767,771,785,789,804,808,818,828,838,847,852,860,866,882,884,899,905,909,922,932,936,944,955,960,973,977,985,999,1008,1016,1027,1031,1039,1047,1060,1069,1075,1083,1091,1099,1109,1118,1127,1133,1141,1151,1156,1166	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,12,23,28,41,46,57,63,69,84,90,98,107,111,123,136,139,148,154,165,173,180,325,327,336,351,360,365,371,386,387,397,404,415,427,436,439,596,608,611,622,630,635,649,659,663,670,680,693,698,710,719,727,729,744,750,759,770,773,786,789,805,811,816,827,839,843,853,858,870,874,888,899,908,912,923,933,938,945,955,966,973,977,986,996,1008,1015,1019,1034,1040,1047,1058,1069,1074,1084,1087,1101,1109,1114,1121,1136,1145,1149,1161,1165,1178	0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,24,28,38,47,51,63,70,80,90,101,106,118,125,131,138,147,157,165,174,317,320,327,338,351,359,362,374,378,390,396,411,418,421,432,439,457,608,610,621,631,637,649,660,663,674,678,690,696,707,714,726,732,743,753,763,770,773,787,794,800,806,822,826,836,841,855,858,872,876,887,897,901,910,918,928,937,950,958,965,973,982,992,993,1008,1019,1023,1034,1039,1047,1055,1065,1073,1079,1088,1097,1111,1117,1130,1131,1139,1155,1157,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,29,39,44,51,62,72,83,86,96,106,114,120,134,144,153,157,167,174,317,324,327,341,352,359,369,374,379,388,403,409,419,427,435,441,457,605,614,622,634,643,649,654,668,675,686,694,696,710,717,721,731,741,748,761,769,773,783,790,802,810,821,829,833,844,855,859,867,874,890,898,901,909,919,930,941,942,958,961,968,984,985,1000,1003,1018,1023,1030,1038,1048,1057,1063,1071,1081,1091,1099,1109,1120,1130,1138,1139,1149,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,20,31,35,43,59,62,70,82,87,98,110,115,122,133,139,152,160,169,178,315,326,329,341,350,357,362,371,380,393,397,406,412,422,433,439,600,609,615,626,632,640,645,658,660,671,682,687,696,706,713,721,730,745,748,755,764,780,787,792,798,808,816,827,839,840,856,859,870,879,887,897,901,913,919,929,938,943,953,965,971,985,986,1001,1009,1013,1023,1034,1043,1050,1061,1065,1071,1082,1092,1096,1106,1118,1125,1134,1146,1148,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,22,30,34,43,58,64,69,82,89,95,103,112,120,135,143,148,159,169,178,315,321,327,337,345,359,363,376,386,392,396,406,417,429,433,444,453,607,617,625,631,635,644,659,668,675,678,691,702,704,713,724,736,737,754,760,770,779,780,795,798,808,819,823,831,843,848,860,869,880,889,893,906,913,924,926,941,947,957,960,971,978,989,993,1010,1012,1021,1031,1039,1046,1061,1067,1075,1081,1093,1099,1112,1117,1128,1131,1143,1148,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,25,40,50,59,62,68,78,87,96,103,112,121,132,140,152,154,165,171,313,318,327,337,348,358,364,373,383,390,397,409,419,428,433,444,459,605,613,625,628,639,643,652,667,675,681,694,695,705,712,727,733,738,749,759,763,775,785,792,799,813,820,827,839,841,850,861,865,875,884,892,905,911,918,933,937,945,954,961,971,982,989,997,1003,1015,1019,1029,1044,1045,1055,1068,1078,1080,1093,1100,1108,1114,1127,1134,1141,1155,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,17,26,42,49,51,60,70,82,86,102,103,116,125,135,138,145,154,166,176,317,318,328,337,344,358,363,374,380,393,397,406,416,427,436,443,599,603,610,626,630,640,648,653,668,672,685,694,695,707,716,723,736,745,747,755,766,778,782,792,799,807,815,823,833,844,853,857,869,880,885,894,901,911,920,925,940,945,952,960,972,984,988,995,1008,1011,1020,1034,1043,1051,1055,1065,1078,1083,1094,1103,1110,1115,1123,1133,1143,1148,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,28,42,44,54,63,71,84,86,96,104,116,124,129,137,148,154,170,177,315,321,327,335,348,357,366,372,384,394,399,407,420,423,432,442,597,601,614,623,634,641,643,652,667,675,680,687,699,709,714,721,736,744,750,760,765,771,781,791,797,807,818,823,835,846,854,861,865,878,883,896,906,914,917,933,942,947,955,966,969,979,990,995,1006,1017,1025,1030,1044,1049,1054,1065,1076,1086,1091,1104,1105,1117,1129,1135,1141,1150,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,24,26,41,45,52,67,72,82,87,96,108,115,122,129,138,146,158,169,177,315,319,329,343,349,357,365,373,381,390,395,408,417,428,436,445,458,600,611,619,628,635,650,659,668,674,684,692,702,708,712,721,732,745,754,761,765,773,783,792,802,810,818,827,839,842,852,862,870,882,888,895,902,915,918,933,936,944,953,967,972,979,988,1000,1006,1015,1021,1033,1040,1050,1054,1068,1076,1079,1090,1101,1113,1119,1128,1132,1139,1155,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,25,40,48,56,64,74,78,86,96,110,114,122,133,143,148,158,163,171,184,323,333,343,347,353,362,373,378,389,399,410,418,428,433,439,448,607,614,626,629,635,646,652,665,669,683,693,700,709,712,724,736,740,749,756,767,777,788,796,802,807,820,829,836,843,853,861,872,875,885,896,907,910,922,932,937,942,956,965,971,978,990,995,1005,1013,1023,1035,1044,1053,1061,1065,1077,1086,1096,1100,1108,1114,1129,1133,1144,1150,1158,1166,1174	1,0,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
7,9,25,29,36,42,58,60,69,82,86,97,107,114,126,128,142,153,155,162,171,317,322,328,340,349,357,361,376,382,389,396,411,417,425,430,440,447,606,613,625,632,638,645,653,666,675,679,688,699,707,713,723,732,737,747,754,767,776,786,794,802,812,820,824,834,848,857,862,867,881,886,894,901,910,924,926,936,943,952,963,970,984,986,994,1009,1016,1021,1035,1040,1049,1060,1062,1072,1080,1089,1103,1107,1115,1129,1133,1143,1153,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,17,26,35,44,54,65,76,84,88,97,105,112,125,133,140,147,157,166,178,315,321,329,343,345,356,369,370,381,391,400,412,413,427,436,445,597,606,615,623,626,638,649,656,666,673,681,693,695,708,716,725,734,742,749,757,765,777,782,790,799,813,820,831,837,845,852,857,866,881,885,894,900,910,925,932,936,948,956,963,969,984,986,1001,1002,1012,1021,1029,1041,1046,1060,1070,1071,1083,1088,1098,1107,1121,1127,1137,1143,1149,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,19,33,39,48,53,61,73,79,93,102,105,116,124,136,142,148,156,169,174,314,320,328,339,345,360,363,377,384,387,400,407,415,425,432,441,454,603,614,625,631,637,649,658,667,673,679,689,700,703,716,728,731,741,753,757,763,774,783,796,803,806,815,829,836,843,851,860,872,877,885,892,906,908,920,931,942,950,957,964,972,981,988,1001,1010,1019,1025,1031,1038,1048,1058,1069,1077,1081,1089,1104,1107,1115,1122,1132,1141,1152,1160,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,33,38,44,53,61,72,77,89,96,103,118,120,129,141,147,161,163,171,316,320,328,336,348,354,366,375,385,393,401,406,419,425,436,443,458,602,616,625,630,638,649,652,665,675,680,691,694,711,720,722,734,740,753,760,767,774,782,794,800,809,820,825,835,840,850,862,872,877,884,891,905,914,918,926,937,949,958,963,974,979,991,1000,1005,1012,1027,1033,1042,1049,1061,1065,1078,1080,1091,1100,1113,1120,1130,1132,1141,1151,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,29,39,50,55,64,73,79,92,97,107,116,126,131,137,148,161,168,176,181,320,331,341,350,358,368,375,378,389,397,410,415,423,437,444,596,604,612,625,629,642,645,652,661,671,683,691,696,706,716,726,734,740,751,754,765,776,784,795,805,811,816,823,834,843,855,864,871,876,886,899,905,914,918,926,938,942,951,966,970,981,987,993,1010,1016,1024,1035,1038,1045,1059,1062,1070,1083,1093,1097,1109,1113,1124,1136,1142,1150,1163,1172	0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,23,32,35,49,57,61,69,81,90,96,109,116,122,130,139,151,158,164,178,317,326,328,339,346,358,368,375,385,394,396,404,416,428,433,439,598,608,617,620,629,639,646,659,663,674,681,691,699,709,720,724,733,743,752,762,768,777,782,794,805,813,821,830,836,848,849,859,872,877,890,893,906,914,918,930,936,948,958,964,970,980,986,999,1004,1011,1024,1035,1039,1049,1060,1062,1071,1083,1095,1096,1111,1116,1128,1133,1139,1149,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,29,40,50,54,68,72,83,91,100,106,118,123,130,143,151,161,168,173,317,322,327,338,352,355,361,370,384,386,399,410,419,426,437,445,600,608,615,619,628,639,645,657,666,672,685,687,700,707,714,723,736,740,752,762,763,773,782,791,801,811,822,828,837,847,854,863,865,882,890,891,904,914,924,927,940,946,952,967,976,982,985,997,1006,1017,1026,1028,1041,1046,1056,1069,1078,1080,1093,1104,1105,1115,1127,1131,1142,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,19,27,40,47,56,65,69,82,90,99,109,114,119,133,144,148,155,166,173,317,325,332,337,348,357,368,375,382,392,400,404,414,422,435,444,599,606,615,625,634,635,650,659,662,677,684,686,697,708,720,727,734,743,754,762,769,774,782,790,803,809,817,827,838,848,856,863,869,877,886,898,903,908,922,929,941,945,959,962,973,984,990,994,1002,1014,1027,1036,1039,1051,1054,1069,1076,1085,1088,1098,1107,1119,1122,1138,1145,1150,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,25,36,49,55,67,74,77,86,101,109,112,121,131,137,150,154,168,174,314,318,329,338,346,356,364,377,382,386,397,404,413,423,432,440,596,602,616,619,630,640,646,655,662,676,685,689,695,706,712,720,730,744,753,759,769,773,788,789,799,813,814,824,832,846,850,861,871,879,885,895,901,916,919,930,941,944,957,959,971,979,993,1000,1003,1012,1025,1031,1041,1052,1059,1066,1076,1079,1091,1101,1109,1116,1123,1133,1146,1153,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,31,38,43,52,64,71,83,87,99,108,119,125,131,137,152,156,170,176,316,321,328,337,346,353,362,369,385,389,401,405,416,424,435,443,454,603,615,624,632,637,646,653,665,672,684,688,700,709,717,727,729,741,748,757,763,773,784,789,804,806,817,823,831,843,852,861,869,880,885,898,903,910,921,932,938,945,953,965,972,984,985,1001,1004,1017,1019,1027,1036,1050,1059,1063,1076,1084,1087,1102,1110,1117,1127,1131,1145,1151,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,20,26,37,44,53,65,69,78,87,94,110,118,121,130,141,151,159,167,178,313,326,330,340,350,354,369,373,381,394,401,411,413,427,432,443,459,608,617,618,629,642,648,659,664,677,682,690,695,710,715,727,734,738,752,761,768,776,783,796,797,811,822,828,836,843,853,857,871,878,884,899,902,912,918,929,938,947,952,966,973,982,986,997,1003,1019,1022,1030,1038,1047,1058,1064,1076,1085,1088,1097,1105,1120,1122,1137,1140,1154,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,31,39,44,59,63,70,85,87,101,105,112,120,131,138,150,154,169,178,316,320,332,337,350,353,361,374,382,395,399,406,415,425,436,437,598,605,610,625,630,638,645,655,661,669,680,686,697,706,719,727,732,741,748,762,766,778,783,794,803,806,816,824,832,840,854,860,866,878,883,897,902,910,919,931,937,949,955,964,974,981,992,997,1005,1017,1027,1032,1036,1046,1061,1064,1079,1085,1091,1098,1107,1117,1122,1138,1141,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,25,34,44,52,67,69,78,87,99,110,116,124,128,144,153,158,168,170,315,319,332,336,349,357,366,376,381,392,396,408,417,424,431,440,599,604,617,624,633,637,649,654,664,672,681,690,702,703,717,724,734,738,752,760,766,776,786,795,800,808,819,826,839,843,856,862,869,877,890,893,906,912,920,932,938,948,955,964,971,979,986,1002,1010,1012,1019,1030,1037,1050,1058,1065,1072,1087,1088,1099,1110,1120,1127,1138,1144,1149,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,32,36,45,52,64,74,84,85,101,102,114,126,133,144,148,155,166,172,313,325,333,342,349,359,364,374,382,392,397,404,419,422,435,441,598,603,615,625,629,639,649,653,662,672,686,693,696,710,716,723,736,742,746,761,765,772,781,796,805,810,821,823,833,847,852,863,866,881,887,895,903,912,924,928,934,945,955,960,970,979,991,993,1010,1019,1025,1033,1040,1046,1060,1065,1076,1084,1092,1104,1107,1120,1126,1135,1143,1152,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,21,27,37,48,56,65,69,80,88,97,107,117,123,135,143,146,155,165,175,313,321,330,343,349,353,366,371,382,388,403,408,413,422,429,441,449,603,615,625,634,641,647,657,661,674,677,689,702,709,712,722,737,742,752,759,764,772,787,791,800,812,818,822,839,846,855,862,866,878,887,894,904,910,921,931,935,945,954,963,970,982,988,1001,1004,1012,1021,1032,1040,1053,1055,1068,1078,1086,1095,1102,1111,1115,1123,1132,1142,1149,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,33,37,44,57,68,71,82,88,99,106,114,124,136,138,151,158,167,179,315,326,327,336,349,353,361,372,385,394,403,405,419,425,433,445,600,603,617,620,630,642,645,654,663,672,680,689,702,711,717,726,729,740,749,755,769,773,781,793,798,807,818,823,834,840,852,862,866,879,885,891,904,911,919,930,941,945,953,961,976,983,993,996,1008,1015,1026,1034,1037,1049,1056,1067,1076,1086,1094,1096,1109,1119,1124,1136,1144,1155,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,21,32,41,43,55,61,74,83,86,97,103,114,125,136,137,146,160,163,175,316,326,329,338,346,360,367,374,381,391,400,403,418,424,437,443,597,603,610,618,628,639,649,654,667,670,682,691,696,707,717,721,733,742,751,758,767,780,785,796,798,808,818,828,832,845,854,861,866,878,886,899,907,911,917,931,933,948,957,959,975,983,987,999,1010,1018,1023,1029,1043,1048,1055,1066,1073,1080,1090,1098,1112,1114,1128,1132,1143,1151,1160,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,33,36,47,51,67,71,79,90,96,102,117,119,136,144,149,160,165,178,198,318,329,336,349,355,367,370,385,393,399,405,412,423,435,443,461,603,617,623,634,641,644,652,663,676,680,693,694,704,720,723,730,740,747,762,771,777,782,790,798,811,821,830,834,846,854,858,871,881,884,895,905,908,923,930,936,950,958,960,975,984,993,996,1007,1013,1021,1033,1043,1047,1055,1066,1073,1079,1092,1102,1106,1120,1130,1131,1140,1154,1156,1165,1176	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,13,23,29,38,42,52,60,69,82,89,102,106,115,124,136,138,150,161,166,179,186,326,333,335,352,357,363,375,386,388,401,404,417,422,431,442,597,608,616,620,633,639,650,654,664,675,679,691,702,706,718,723,732,740,747,762,770,774,784,789,801,813,817,827,835,846,853,861,872,882,891,895,907,913,922,928,942,950,952,959,968,981,988,996,1007,1013,1025,1028,1037,1045,1059,1066,1077,1083,1090,1097,1108,1121,1122,1134,1147,1153,1157,1165,1176	1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,17,31,36,50,54,64,75,79,87,101,105,119,122,133,142,146,159,167,175,181,326,329,336,352,354,361,376,380,389,401,403,418,425,430,441,453,607,611,621,630,635,650,656,665,676,683,688,698,706,719,723,732,744,747,758,765,774,784,788,801,809,815,828,834,843,851,864,865,875,890,894,902,911,922,927,934,944,955,967,970,981,987,996,1007,1012,1024,1033,1038,1050,1058,1063,1074,1082,1088,1097,1108,1119,1123,1133,1142,1150,1163,1169,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0
3,16,22,27,37,47,51,66,70,85,87,100,108,116,123,133,138,151,156,169,178,190,319,334,342,347,359,365,372,380,386,397,404,413,427,433,441,600,607,611,619,628,638,645,658,664,670,683,686,702,708,715,728,736,740,750,762,763,776,786,795,800,807,818,828,836,843,854,862,871,874,890,893,907,909,920,928,938,946,958,959,975,978,986,997,1010,1012,1023,1036,1040,1045,1061,1070,1073,1079,1094,1104,1110,1116,1130,1132,1145,1148,1157,1166,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,13,25,27,41,47,52,60,72,82,91,96,107,112,127,132,144,146,162,164,177,196,319,328,336,344,359,363,370,386,390,395,408,416,422,431,443,596,606,612,625,629,638,644,658,668,675,684,693,701,710,718,725,731,737,748,755,767,778,786,793,799,809,817,830,835,845,854,862,874,882,889,897,906,910,919,927,941,946,955,961,972,984,989,993,1006,1017,1025,1030,1044,1049,1056,1070,1071,1083,1093,1097,1107,1118,1127,1134,1140,1155,1162,1167	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,11,20,32,34,46,53,61,76,78,88,99,103,119,121,132,142,146,158,162,173,181,324,329,339,347,353,365,369,378,394,400,407,416,424,431,443,599,607,609,618,630,641,649,654,667,677,678,688,695,711,712,725,733,738,751,759,769,777,787,795,803,806,818,826,835,843,851,858,873,874,885,892,903,908,918,928,938,949,951,966,969,980,989,997,1006,1014,1026,1036,1040,1046,1053,1063,1074,1080,1087,1103,1108,1118,1125,1133,1143,1155,1162,1165,1173	0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
1,12,24,28,39,46,59,60,76,83,88,101,102,116,122,133,141,147,161,163,174,191,323,327,340,350,352,363,370,378,394,402,408,420,427,436,445,449,601,614,626,634,635,644,655,668,669,685,688,703,709,719,726,735,739,747,757,767,778,783,793,797,809,816,826,836,841,854,858,873,874,883,899,904,913,923,929,934,946,956,965,971,979,992,993,1009,1015,1027,1032,1040,1053,1055,1069,1077,1083,1088,1096,1108,1116,1129,1135,1142,1149,1159,1166	1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,25,29,35,45,54,66,75,77,86,99,107,117,125,131,144,148,161,165,172,188,318,335,339,345,357,361,370,381,387,398,407,417,423,434,445,598,601,611,624,632,636,651,660,667,672,683,687,701,704,712,727,733,738,751,757,766,777,782,794,802,808,815,825,836,843,849,861,873,875,884,892,900,916,924,927,941,943,959,962,972,979,988,999,1006,1017,1023,1030,1042,1047,1055,1070,1077,1083,1093,1102,1111,1119,1128,1131,1145,1147,1156,1171,1178	0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,19,30,41,50,52,66,76,81,85,99,107,112,120,130,140,153,156,165,174,313,321,331,339,346,357,362,376,386,392,400,406,414,423,432,443,599,602,612,624,633,640,645,655,661,677,682,693,695,703,717,721,736,739,748,756,764,772,787,797,804,809,821,829,832,846,852,857,869,877,885,898,899,914,923,932,935,946,952,961,972,982,993,996,1008,1015,1021,1035,1039,1049,1059,1063,1078,1079,1090,1101,1108,1117,1123,1138,1145,1154,1163,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,32,37,50,59,62,74,80,90,98,105,115,119,131,142,145,154,164,178,180,326,332,342,346,353,366,375,381,391,395,403,419,428,430,438,452,607,616,620,628,642,645,658,666,671,684,686,696,707,713,722,735,741,750,755,765,775,781,794,805,806,819,831,837,848,849,860,868,876,885,899,902,909,923,926,939,948,959,960,969,980,993,1002,1010,1017,1022,1029,1044,1050,1056,1063,1078,1085,1095,1098,1108,1116,1128,1130,1143,1148,1160,1172,1177	1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,18,31,38,47,58,65,76,81,91,98,109,114,123,131,142,146,154,165,175,179,319,332,338,346,353,368,370,382,389,398,408,419,421,432,440,599,601,612,618,634,641,651,659,662,676,677,692,703,711,716,721,736,744,754,756,769,777,782,790,802,814,822,825,840,842,856,861,872,875,884,898,905,909,925,927,940,949,958,959,973,981,986,997,1006,1014,1025,1033,1040,1048,1054,1068,1072,1087,1090,1097,1105,1119,1123,1137,1141,1154,1158,1170	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
4,15,23,30,38,43,58,67,72,79,90,101,109,114,126,136,141,150,157,170,175,181,319,334,336,345,358,363,377,379,394,402,410,417,421,436,445,599,604,611,623,631,636,649,658,661,671,682,693,696,709,712,722,737,740,751,754,766,773,784,789,803,812,819,825,836,844,855,861,867,880,884,891,902,909,925,927,938,945,958,963,976,984,990,994,1008,1016,1024,1034,1040,1050,1054,1067,1077,1082,1090,1097,1109,1117,1123,1135,1146,1149,1158,1167,1176	1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,17,27,39,46,51,65,70,77,88,97,107,113,120,128,139,153,161,162,177,194,320,329,343,344,352,368,371,386,394,401,404,417,427,437,440,598,608,610,625,634,641,650,660,661,675,681,687,698,707,714,727,731,737,750,754,768,771,783,792,804,812,822,824,839,844,856,861,873,880,887,892,902,914,921,926,935,943,952,961,974,983,988,1000,1009,1012,1026,1031,1038,1052,1054,1064,1071,1083,1096,1097,1112,1114,1123,1130,1143,1148,1160,1165	0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0
4,16,24,27,38,43,56,64,73,83,85,95,107,111,121,134,141,147,158,169,175,185,322,330,335,350,357,366,373,380,391,398,409,420,425,431,438,597,606,609,620,630,640,647,654,667,676,679,691,697,704,717,720,737,739,750,758,764,775,782,789,804,813,815,828,835,841,850,858,873,877,887,898,901,911,922,929,936,945,954,959,969,984,985,1001,1005,1012,1020,1033,1038,1052,1058,1063,1073,1086,1092,1098,1105,1116,1127,1131,1143,1154,1162,1168,1177	1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,24,27,41,49,58,64,72,78,92,101,106,119,121,134,137,149,154,163,174,181,322,333,336,350,358,367,374,383,387,402,408,420,429,430,440,468,606,610,620,630,642,644,652,663,676,681,686,696,709,719,723,731,742,748,757,769,779,787,796,801,806,817,823,838,846,852,862,868,881,890,895,902,909,920,933,934,948,951,960,972,982,993,996,1008,1015,1020,1032,1036,1050,1056,1068,1071,1082,1091,1097,1105,1113,1122,1134,1141,1155,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
4,14,23,30,34,48,57,64,72,79,92,99,109,113,127,131,137,146,158,166,171,186,320,329,342,348,358,366,370,386,388,401,408,416,426,432,443,596,608,617,625,631,635,645,656,660,676,684,686,700,711,712,725,737,741,747,763,770,772,788,792,805,808,816,826,837,840,852,857,871,877,891,892,901,913,918,931,942,946,958,964,976,984,989,995,1007,1016,1026,1036,1038,1052,1054,1068,1072,1081,1091,1099,1106,1118,1125,1134,1140,1155,1162,1171	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,22,31,39,46,54,65,76,80,87,95,107,115,124,131,142,150,154,169,176,182,326,334,338,347,359,363,373,378,388,399,405,418,422,431,438,596,604,611,626,630,639,647,652,667,673,682,690,700,703,716,720,733,738,754,763,768,776,782,789,803,813,821,829,837,848,850,860,867,881,891,895,900,914,923,926,938,943,951,967,973,977,992,995,1004,1014,1024,1028,1043,1045,1055,1067,1071,1080,1091,1103,1106,1114,1125,1132,1144,1153,1159,1169,1176	1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,11,20,25,41,42,54,65,70,79,87,102,106,114,126,135,140,151,161,162,177,180,319,333,336,348,355,363,371,381,390,400,410,413,424,430,439,466,608,616,619,633,637,650,656,665,673,685,689,697,705,718,728,734,739,752,756,768,778,782,789,797,806,820,823,836,846,848,861,871,881,885,899,903,913,923,928,942,945,958,966,971,979,988,1001,1005,1012,1023,1033,1044,1052,1057,1066,1071,1087,1092,1104,1112,1116,1123,1134,1143,1147,1159,1166,1177	0,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,16,22,28,38,47,51,61,73,84,87,97,110,114,122,130,136,151,154,166,173,179,326,330,342,351,354,361,371,382,389,395,411,417,423,436,441,600,608,610,620,630,643,651,653,667,672,677,694,700,709,717,722,731,738,747,754,768,776,788,791,799,811,814,828,839,842,852,864,871,876,885,891,899,916,919,929,939,948,958,962,968,984,990,997,1002,1014,1021,1036,1043,1049,1057,1066,1072,1087,1088,1098,1111,1118,1129,1133,1144,1149,1160,1165	1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,20,32,37,43,51,64,76,77,93,95,106,117,122,136,138,151,159,169,173,188,318,329,340,351,357,365,373,383,392,396,406,416,423,435,442,451,606,617,626,632,640,651,655,666,677,678,693,701,704,717,723,733,740,746,756,767,777,788,794,802,805,816,826,834,842,855,858,874,875,883,897,906,914,921,928,936,943,957,962,971,978,988,998,1010,1014,1019,1028,1037,1047,1058,1062,1076,1080,1089,1104,1111,1114,1123,1134,1140,1150,1156,1167,1174	0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,16,24,30,40,44,57,66,76,80,85,101,107,111,125,130,140,147,159,163,179,182,318,330,338,351,358,367,372,386,392,396,404,418,423,430,445,468,606,617,625,629,642,644,656,663,672,679,687,695,708,720,726,736,740,747,754,770,777,784,792,803,814,816,825,837,840,854,863,867,876,884,894,902,912,917,926,934,943,958,961,969,983,993,995,1005,1017,1027,1035,1043,1051,1056,1067,1074,1087,1094,1098,1106,1119,1127,1131,1144,1150,1156,1170,1175	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,10,20,28,36,50,51,68,71,80,89,100,107,113,120,134,142,150,160,169,172,193,318,335,338,347,355,366,374,378,391,402,411,414,428,434,441,459,604,611,620,634,639,645,658,660,674,686,692,702,708,715,727,734,740,754,760,764,779,784,790,803,809,820,827,839,841,850,860,866,879,889,897,907,910,920,925,939,951,956,965,973,977,988,1001,1005,1013,1024,1033,1042,1047,1058,1069,1077,1086,1094,1100,1106,1117,1127,1131,1146,1148,1159,1168,1176	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,8,18,29,35,51,53,61,73,83,90,96,105,114,119,129,139,149,160,170,171,200,321,332,336,350,354,363,371,380,387,400,411,415,420,431,439,596,606,617,623,627,640,650,658,663,669,680,686,696,708,716,727,731,738,747,760,766,776,788,796,802,809,814,829,839,846,855,858,866,876,886,895,902,910,917,932,934,949,952,966,969,978,987,994,1010,1014,1020,1029,1038,1050,1057,1065,1077,1084,1090,1101,1113,1119,1130,1138,1146,1148,1163,1168	0,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
5,8,22,32,40,49,57,65,76,81,91,97,106,113,122,130,138,145,160,167,174,182,318,328,338,349,356,363,373,382,387,401,409,417,422,437,444,468,608,613,625,633,635,644,660,666,674,680,694,699,704,717,728,735,744,753,759,767,775,782,794,797,806,816,829,834,840,856,864,866,877,890,895,907,910,922,927,940,944,953,967,975,983,987,1001,1003,1017,1022,1034,1044,1045,1055,1069,1078,1081,1092,1103,1113,1118,1124,1131,1140,1153,1160,1165,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,10,24,32,34,46,57,61,70,77,87,99,106,115,120,135,144,150,159,167,171,192,320,327,338,348,358,366,369,382,393,396,406,414,425,435,441,597,606,611,618,632,637,645,652,665,675,681,693,702,703,720,728,731,737,746,760,764,776,783,791,802,809,815,823,834,843,848,861,871,878,885,891,903,912,917,933,940,944,952,967,973,979,986,995,1006,1018,1027,1034,1041,1050,1056,1067,1073,1080,1089,1097,1107,1117,1130,1138,1140,1154,1156,1164,1175	1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,12,19,29,37,46,57,67,73,78,89,96,109,116,124,129,142,146,155,165,172,313,321,334,341,349,359,362,376,386,394,399,407,419,428,437,443,598,604,617,618,628,642,650,656,664,676,682,686,695,709,714,728,729,746,748,755,766,774,782,789,805,810,814,828,837,841,849,865,869,880,886,899,903,916,921,932,935,948,956,966,969,983,991,994,1008,1017,1020,1031,1043,1049,1055,1062,1074,1087,1088,1102,1106,1121,1127,1137,1143,1148,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,11,22,27,35,46,58,61,70,82,90,96,103,119,127,132,138,148,160,166,172,210,320,327,340,347,359,363,371,381,391,396,407,414,421,429,441,598,601,611,626,632,643,651,657,664,676,683,690,700,704,719,726,732,740,749,757,771,775,784,788,799,807,820,830,835,842,851,861,867,879,888,898,906,914,922,926,935,947,958,962,968,983,987,998,1010,1019,1022,1033,1036,1050,1057,1069,1078,1081,1088,1104,1109,1120,1129,1131,1139,1149,1164,1167	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,15,22,28,34,42,55,64,76,80,92,94,110,114,120,128,140,149,159,164,173,313,319,333,340,348,360,366,373,384,386,398,404,420,424,435,438,467,605,612,623,628,642,645,655,668,672,681,688,700,710,718,724,735,745,747,760,769,772,783,790,800,813,819,828,835,845,854,863,868,882,891,893,904,913,918,928,941,946,956,964,970,979,986,999,1003,1012,1024,1030,1036,1047,1058,1066,1076,1085,1089,1097,1111,1114,1127,1135,1146,1154,1159,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,11,19,33,38,44,54,67,76,78,85,99,108,112,127,135,137,152,156,165,176,180,320,330,343,352,358,362,376,381,391,396,407,417,427,434,444,598,603,611,619,633,639,651,656,662,672,681,691,697,705,716,724,730,745,752,761,766,772,788,789,799,806,814,828,832,840,853,864,872,876,890,898,906,913,922,931,934,945,953,962,970,982,990,994,1003,1013,1019,1028,1044,1046,1054,1067,1076,1082,1095,1102,1109,1120,1128,1131,1144,1155,1159,1172,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,20,30,35,49,54,63,75,80,91,100,108,117,123,133,143,151,159,169,178,180,321,331,342,350,355,364,372,378,389,398,409,414,425,433,439,458,605,616,620,632,641,644,655,668,673,678,690,699,709,712,722,729,745,751,759,769,779,785,790,801,806,820,830,837,841,852,857,873,877,885,896,901,916,922,928,941,950,959,962,972,984,993,1000,1009,1015,1019,1034,1041,1046,1061,1065,1075,1086,1094,1098,1105,1118,1121,1131,1147,1153,1156,1170	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,17,28,35,44,53,62,73,79,90,96,103,117,123,129,143,148,153,165,172,180,325,333,341,344,354,361,371,384,391,403,411,419,423,436,439,451,609,617,624,631,643,650,657,661,674,682,691,699,707,713,726,735,744,749,755,770,771,784,793,801,811,822,824,834,846,850,862,868,881,887,896,905,911,921,931,939,944,957,961,970,982,990,994,1008,1011,1023,1035,1038,1045,1056,1066,1077,1087,1094,1099,1106,1119,1124,1137,1143,1150,1159,1169,1178	1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,20,30,35,47,51,64,70,83,87,94,107,111,120,130,142,151,158,163,174,190,326,334,336,349,354,363,376,385,387,399,406,415,426,432,440,471,606,612,624,628,638,647,657,668,675,682,693,702,707,720,723,731,737,752,762,767,777,782,794,802,806,820,830,835,841,852,864,868,878,883,899,904,911,919,929,940,947,957,966,972,983,993,994,1009,1011,1020,1030,1038,1048,1060,1070,1076,1085,1088,1097,1113,1114,1126,1132,1142,1150,1163,1164,1177	0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,20,31,34,50,56,59,71,81,93,100,104,116,120,134,137,150,157,167,172,184,324,330,336,352,356,364,369,380,389,398,404,416,427,429,444,596,603,617,623,628,643,651,659,666,672,682,693,701,711,719,723,734,745,748,759,765,778,787,793,799,810,818,824,835,845,850,860,871,874,886,891,905,915,921,927,937,943,951,966,972,983,985,1001,1004,1018,1021,1035,1038,1050,1054,1067,1071,1087,1089,1101,1109,1115,1127,1135,1146,1150,1156,1169,1174	1,0,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,23,30,41,46,59,64,69,81,93,102,105,114,119,133,140,149,154,165,173,184,320,329,335,347,354,365,373,383,390,401,404,417,426,435,440,597,606,609,624,631,637,644,652,666,677,682,687,697,704,713,726,729,744,751,758,764,778,784,796,802,813,815,830,832,841,849,857,866,874,888,892,903,912,924,932,941,945,955,959,972,984,990,995,1002,1017,1022,1029,1044,1045,1056,1065,1075,1085,1089,1101,1107,1113,1122,1135,1145,1149,1162,1169,1174	1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,12,19,31,35,44,52,66,73,81,93,95,109,112,120,134,143,150,159,168,173,185,324,334,343,345,355,366,370,385,388,397,407,420,425,434,440,465,607,617,624,628,638,646,655,668,677,682,688,695,706,711,727,733,745,752,763,764,771,782,789,800,810,822,823,835,844,851,858,873,881,886,899,901,916,920,929,938,944,956,965,971,983,990,997,1008,1011,1026,1036,1040,1049,1055,1063,1072,1082,1091,1104,1112,1114,1128,1133,1145,1148,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,24,28,41,44,55,65,72,82,93,99,107,116,121,135,143,147,162,168,171,183,326,331,335,344,354,368,372,381,391,399,406,413,424,433,439,599,606,613,622,633,639,644,654,665,674,683,692,701,709,718,726,731,741,751,760,763,776,785,792,803,808,819,828,838,840,856,857,866,881,889,897,901,911,920,926,940,947,954,964,972,980,986,996,1004,1014,1020,1031,1044,1049,1061,1064,1073,1079,1088,1099,1110,1115,1122,1130,1142,1149,1162,1165	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,22,32,34,43,53,66,68,83,93,95,103,111,122,129,143,151,160,164,176,196,322,329,335,350,354,367,370,379,388,400,405,418,426,433,440,598,601,615,618,634,641,651,658,663,676,681,687,699,708,717,725,733,739,754,756,763,779,786,790,801,810,817,827,836,841,851,860,873,880,888,897,904,908,919,927,936,949,952,966,971,979,989,997,1005,1017,1026,1030,1042,1052,1061,1062,1078,1081,1090,1101,1105,1115,1128,1131,1142,1155,1160,1170,1177	0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,21,31,42,46,53,64,72,78,92,102,104,112,121,135,138,151,156,169,175,313,319,329,335,351,354,368,374,382,393,402,408,416,421,436,445,453,605,612,621,632,636,643,654,663,674,686,690,701,705,712,724,730,745,754,756,770,772,782,789,798,811,817,825,832,842,849,859,873,881,890,893,899,915,923,933,941,947,958,965,971,978,985,995,1009,1013,1024,1031,1042,1053,1059,1066,1078,1085,1090,1097,1112,1115,1125,1134,1141,1151,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,25,32,34,48,57,61,75,79,85,102,109,115,120,136,142,150,158,163,171,317,325,330,337,352,360,368,375,383,393,400,411,420,423,435,438,598,604,617,618,633,640,643,660,664,676,680,692,699,707,713,723,729,741,747,756,764,777,780,795,801,806,814,824,834,841,855,857,873,882,884,891,900,910,923,926,936,946,951,965,968,978,991,997,1009,1017,1024,1034,1041,1046,1059,1066,1075,1084,1090,1102,1107,1115,1125,1133,1141,1155,1162,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,17,31,38,50,58,63,75,80,90,95,109,119,124,136,138,148,158,163,178,315,319,334,340,347,352,368,377,382,387,398,411,420,423,432,438,471,609,614,618,634,641,643,656,662,677,686,691,700,704,718,722,735,737,747,759,764,776,787,793,798,814,817,825,837,841,853,861,868,880,888,893,900,909,917,930,934,949,953,965,969,980,989,999,1003,1017,1026,1032,1044,1047,1059,1066,1070,1083,1093,1103,1109,1115,1128,1133,1145,1150,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,28,35,50,52,67,74,79,90,97,104,118,121,132,141,148,161,166,172,180,326,333,340,352,355,366,370,381,393,395,412,416,426,433,440,466,603,616,624,634,638,649,655,664,673,682,688,696,708,712,723,732,738,753,761,765,779,785,796,803,807,816,823,837,843,854,863,869,879,887,897,902,911,922,926,937,945,958,965,973,978,988,994,1010,1017,1026,1035,1039,1047,1057,1064,1074,1081,1092,1102,1110,1118,1126,1138,1140,1155,1159,1172,1174	0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0
1,14,20,32,39,44,57,61,74,84,87,96,106,117,120,128,140,148,158,165,172,181,320,331,341,345,358,366,372,382,388,396,405,419,426,429,445,461,602,616,623,633,643,649,657,661,670,686,690,703,704,718,721,729,744,748,762,764,775,780,796,801,813,820,831,835,842,856,861,870,879,890,896,904,912,921,928,939,943,955,960,969,978,987,1000,1006,1011,1021,1028,1042,1049,1053,1068,1076,1081,1095,1102,1111,1115,1124,1137,1139,1148,1157,1165	1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,24,27,42,50,52,67,68,84,87,94,103,112,124,129,140,150,153,164,174,179,326,327,342,351,357,366,372,385,392,400,404,413,425,432,441,448,603,611,621,634,640,650,658,666,673,683,691,696,707,713,724,733,740,748,757,764,778,784,793,800,813,821,829,839,845,854,863,874,879,883,897,907,911,918,932,936,950,956,965,975,977,990,995,1006,1011,1027,1029,1038,1053,1059,1065,1073,1084,1092,1103,1109,1120,1123,1132,1142,1150,1158,1169,1174	0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,23,31,37,43,51,62,73,79,85,95,104,112,123,129,145,150,155,170,177,186,319,333,337,350,360,363,377,386,394,399,404,416,421,429,444,599,602,617,619,632,639,646,655,667,673,683,689,702,709,714,726,734,740,753,761,768,772,782,792,801,812,821,829,833,843,848,862,872,878,887,895,902,911,917,927,936,943,955,963,972,979,986,999,1009,1014,1021,1032,1040,1046,1060,1063,1075,1083,1094,1097,1106,1117,1124,1134,1146,1152,1164,1168,1175	1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,23,27,37,44,55,63,68,79,89,100,110,114,124,131,136,145,158,167,178,179,326,328,336,347,358,362,375,380,389,398,408,413,423,432,444,600,605,615,623,634,636,649,656,666,672,686,690,700,707,715,722,734,737,752,763,766,773,788,789,805,808,816,827,832,846,853,859,874,881,884,896,907,913,917,928,937,947,951,960,971,982,987,994,1009,1012,1020,1028,1036,1046,1058,1070,1071,1085,1090,1104,1108,1116,1126,1132,1139,1153,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,23,33,41,48,57,66,76,82,88,97,108,112,123,130,143,149,160,162,172,184,325,332,342,349,356,367,370,384,394,399,405,414,421,434,443,596,601,611,623,628,643,649,656,663,671,682,688,701,704,713,726,733,743,746,758,765,778,786,792,797,814,815,824,836,848,854,859,872,882,883,894,907,910,917,933,936,943,956,962,973,983,989,996,1005,1015,1019,1031,1039,1048,1061,1067,1073,1086,1089,1103,1105,1117,1124,1134,1145,1147,1163,1171	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
5,12,23,25,35,46,53,60,68,83,86,100,102,119,126,134,144,145,156,165,176,191,319,329,339,350,354,361,373,378,394,396,406,415,424,431,444,600,606,615,621,634,638,652,653,668,673,678,693,695,706,713,723,732,745,746,762,771,776,787,790,803,809,821,830,833,847,853,861,873,875,888,895,906,915,917,926,938,944,953,963,974,977,993,998,1005,1018,1027,1033,1037,1045,1061,1068,1078,1086,1093,1102,1112,1119,1122,1138,1147,1150,1161,1167	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,21,27,34,50,51,67,68,84,90,95,103,114,124,128,140,145,159,162,175,191,323,335,342,349,355,361,370,384,391,402,409,416,425,430,440,456,607,616,625,633,636,648,660,664,669,678,690,702,710,720,727,736,742,753,758,767,780,782,792,804,813,816,829,838,840,848,857,870,878,884,893,907,909,918,928,938,946,955,968,970,984,993,995,1003,1013,1025,1033,1043,1049,1059,1069,1075,1084,1093,1097,1110,1120,1121,1132,1142,1154,1159,1171	1,1,0,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,8,17,29,38,48,55,65,69,82,88,93,103,112,127,131,141,146,153,168,175,192,320,327,341,345,360,365,370,378,388,403,407,415,423,437,438,469,607,611,619,634,637,650,657,661,676,683,687,697,706,720,724,734,745,753,757,765,775,787,789,803,810,819,824,832,847,856,857,871,878,885,896,903,911,924,931,936,950,956,963,975,983,993,1000,1007,1016,1020,1034,1039,1049,1061,1067,1078,1086,1094,1102,1109,1118,1121,1136,1146,1150,1164,1165,1177	0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,13,22,32,35,44,59,66,74,83,93,94,108,114,126,130,143,152,155,164,178,317,323,330,342,350,356,362,373,382,389,397,411,416,425,432,438,454,601,610,622,630,639,643,656,665,675,684,686,696,706,720,725,729,740,748,758,768,772,781,791,803,806,815,825,834,842,852,863,865,877,885,891,903,909,924,929,938,948,954,965,975,978,992,1000,1003,1018,1025,1036,1043,1052,1059,1070,1072,1080,1095,1104,1105,1121,1127,1137,1142,1148,1162,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,32,40,44,58,61,75,79,85,96,105,111,120,129,141,149,161,164,171,198,321,334,343,350,354,364,374,385,389,397,407,416,421,430,441,451,605,611,619,631,637,647,659,666,675,684,690,697,706,712,727,734,739,750,760,768,775,783,793,798,812,818,824,836,841,853,864,872,874,886,894,906,910,917,928,937,946,956,966,971,976,989,1002,1003,1014,1027,1034,1041,1048,1059,1063,1076,1085,1091,1103,1107,1117,1126,1138,1144,1152,1164,1172	0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,14,24,34,42,49,52,61,68,82,87,94,108,112,122,128,144,152,161,168,176,186,324,327,340,344,354,364,375,383,392,402,405,417,427,429,441,599,607,613,625,632,642,651,658,666,677,679,691,700,706,715,721,729,739,746,762,765,774,780,792,799,811,819,826,837,840,851,862,867,878,889,891,906,913,920,929,941,943,955,960,969,983,989,999,1007,1016,1024,1033,1038,1050,1058,1070,1075,1083,1093,1103,1106,1113,1121,1132,1143,1155,1158,1165,1178	1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,19,33,41,49,59,65,72,77,93,95,107,116,124,132,143,153,158,163,172,189,318,334,337,345,358,366,377,385,389,400,406,418,423,429,441,600,607,615,620,630,642,649,658,663,676,679,689,701,709,714,725,732,745,749,756,770,772,783,796,804,807,821,824,833,844,853,859,873,874,886,894,902,912,923,927,942,948,951,964,970,978,987,998,1006,1017,1026,1032,1037,1047,1056,1069,1077,1084,1095,1098,1111,1117,1129,1133,1143,1150,1159,1171,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,18,30,34,44,58,59,73,83,87,99,105,118,126,131,143,148,158,162,172,181,325,332,338,349,352,361,372,386,390,399,407,417,423,433,443,600,601,615,621,626,643,651,654,661,672,679,692,699,708,716,724,731,739,750,759,767,776,784,796,803,808,819,824,838,843,853,861,869,874,885,891,901,912,919,932,939,950,956,966,973,977,988,994,1008,1012,1025,1027,1038,1046,1056,1070,1073,1087,1092,1102,1106,1113,1126,1131,1144,1149,1157,1171,1177	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,11,25,31,37,48,54,68,72,85,93,95,102,111,127,134,138,146,157,166,176,186,320,329,340,344,360,363,369,383,386,396,404,415,427,433,444,459,601,611,624,634,641,648,657,665,670,681,688,697,705,712,723,731,741,751,754,767,777,786,795,799,812,814,828,835,840,850,858,871,874,891,892,907,910,918,926,939,949,954,967,970,984,991,996,1008,1013,1025,1032,1037,1048,1059,1066,1077,1082,1095,1098,1108,1117,1126,1131,1142,1148,1160,1170	1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0
4,12,21,30,35,50,55,66,70,78,93,95,103,114,126,128,138,152,158,163,172,179,321,334,336,348,354,365,376,382,389,398,408,420,424,435,440,597,603,611,621,628,642,644,652,663,671,684,693,695,709,714,726,735,744,750,755,767,777,781,791,805,808,817,824,833,847,853,857,867,874,886,896,905,915,925,929,938,944,959,966,976,979,988,994,1006,1013,1020,1028,1042,1045,1062,1067,1074,1085,1089,1101,1113,1121,1126,1132,1142,1152,1158,1166,1175	1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,19,28,39,45,53,64,74,82,88,97,109,119,126,128,143,147,159,162,177,313,319,331,337,351,355,363,374,381,391,399,411,412,421,432,438,599,605,614,619,628,643,651,653,661,669,680,689,698,705,715,722,735,739,752,757,769,773,786,791,805,807,819,830,831,845,850,862,867,876,887,891,903,911,922,928,936,948,954,965,974,981,985,996,1006,1018,1020,1032,1039,1049,1057,1065,1077,1081,1094,1097,1106,1119,1129,1138,1146,1154,1162,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,32,40,48,54,62,73,82,93,98,106,117,127,130,141,149,158,163,178,314,320,327,335,345,352,365,374,383,387,403,404,419,423,430,440,463,604,615,621,633,643,651,654,664,669,680,690,698,710,715,722,730,742,753,760,766,778,788,796,799,812,820,830,838,842,855,862,869,879,883,893,906,909,923,927,938,947,953,965,972,984,987,996,1010,1016,1021,1031,1041,1046,1060,1069,1075,1080,1092,1097,1110,1113,1128,1130,1145,1155,1160,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,19,30,34,49,51,60,72,80,86,97,102,113,125,135,139,145,158,167,176,315,325,334,340,344,354,366,370,380,393,395,408,418,424,432,441,599,606,610,620,631,642,649,655,667,670,684,687,700,704,719,727,732,742,749,755,770,779,780,792,798,812,818,824,833,841,854,859,870,874,888,897,901,910,919,932,939,946,952,964,970,984,991,997,1009,1012,1019,1032,1042,1051,1056,1070,1077,1082,1092,1100,1112,1121,1125,1136,1140,1153,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,27,40,44,56,66,71,81,90,95,106,115,127,130,142,149,159,169,176,315,319,329,338,351,357,367,373,380,390,401,409,415,423,434,445,600,602,614,623,627,643,644,660,664,676,682,688,702,704,718,727,733,743,752,758,768,772,783,789,800,809,819,829,835,845,853,860,870,878,884,892,904,915,917,929,940,945,952,963,971,984,990,1001,1009,1013,1027,1028,1036,1052,1053,1067,1076,1085,1090,1100,1109,1115,1123,1136,1139,1149,1157,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,26,37,47,52,66,72,77,92,96,104,114,119,132,141,149,161,170,172,317,326,332,341,352,359,365,369,382,389,395,410,418,425,431,443,598,604,613,621,629,641,645,659,667,673,678,688,697,704,720,721,731,738,749,756,769,775,788,792,805,810,815,829,839,847,856,860,870,880,888,894,907,915,921,931,939,944,959,965,973,979,987,998,1002,1012,1021,1034,1044,1048,1059,1063,1074,1082,1090,1098,1109,1114,1125,1138,1139,1148,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,26,39,48,58,63,72,82,89,94,106,117,122,135,140,152,154,163,177,315,322,330,339,347,357,363,370,380,390,398,408,412,424,429,439,598,608,616,618,630,635,646,655,668,675,683,688,698,704,712,729,732,740,746,756,770,777,781,790,797,812,822,826,833,846,856,863,869,880,891,892,900,913,922,931,942,944,952,962,969,978,989,1001,1007,1017,1025,1030,1043,1045,1059,1063,1075,1082,1091,1098,1112,1114,1125,1137,1143,1148,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,31,38,49,53,61,74,77,93,101,108,114,120,132,144,147,158,163,174,317,322,331,343,349,356,366,370,381,392,397,409,413,423,437,442,597,603,614,620,634,637,650,660,664,673,679,689,699,711,716,723,729,743,754,756,768,772,783,790,799,807,822,827,833,846,853,858,870,876,885,893,901,910,918,926,941,945,953,966,975,982,992,1000,1003,1017,1021,1028,1044,1048,1056,1070,1071,1085,1090,1104,1113,1114,1127,1134,1144,1152,1157,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,26,36,43,58,67,69,80,90,101,105,117,121,128,139,146,154,168,170,317,322,330,339,351,355,366,373,378,390,395,404,417,422,435,446,598,602,612,624,629,635,643,654,664,670,685,690,702,710,715,721,729,739,747,760,765,775,787,790,798,807,819,828,837,844,856,860,868,876,883,893,904,916,918,925,942,944,956,960,974,978,989,995,1005,1018,1023,1036,1039,1053,1057,1063,1072,1087,1095,1104,1105,1114,1128,1133,1143,1148,1160,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,29,39,47,59,65,75,78,92,101,110,117,126,133,138,147,158,166,177,192,322,330,343,347,354,362,370,380,393,396,405,418,429,436,438,600,609,613,622,632,640,650,654,662,671,677,688,699,707,720,722,737,741,748,757,770,775,784,792,798,810,819,824,837,845,851,860,871,877,889,893,907,908,923,933,939,942,951,967,968,984,992,999,1009,1017,1026,1031,1043,1048,1054,1064,1074,1082,1089,1097,1113,1115,1122,1134,1139,1153,1158,1170	1,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,17,25,35,43,52,60,70,85,87,97,104,115,120,129,137,146,161,164,171,315,321,331,342,348,356,362,370,379,390,399,407,413,422,432,443,599,607,615,623,630,636,650,656,667,677,684,689,696,705,718,720,735,739,746,761,770,774,782,791,797,809,816,824,837,847,851,863,871,875,888,891,905,914,922,931,941,948,952,961,975,985,986,994,1005,1016,1024,1031,1042,1051,1059,1065,1078,1080,1094,1097,1105,1119,1122,1133,1141,1150,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,21,30,39,49,59,68,71,78,91,94,106,111,125,130,136,145,157,166,178,314,322,328,340,347,354,364,375,382,390,401,408,420,424,436,440,456,605,614,624,627,639,644,659,662,677,685,687,701,706,713,723,737,745,752,756,768,772,783,794,804,810,821,830,835,842,856,859,867,877,884,893,906,910,924,933,935,950,959,964,975,977,992,993,1005,1016,1027,1028,1039,1048,1055,1066,1072,1081,1089,1098,1108,1118,1122,1132,1140,1155,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,25,26,40,44,58,67,69,83,92,99,105,113,126,135,137,151,156,164,171,317,320,334,335,347,355,362,376,383,393,395,406,416,428,434,442,597,605,615,626,633,637,647,653,662,674,679,691,697,708,717,723,730,739,751,756,770,776,786,794,801,807,814,828,833,844,852,865,866,879,886,892,900,912,920,928,941,948,959,961,969,980,989,996,1008,1017,1022,1034,1037,1051,1056,1063,1076,1079,1095,1102,1107,1118,1130,1131,1145,1151,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,21,28,37,44,52,66,74,78,90,95,105,117,123,135,141,152,159,169,171,315,321,332,336,350,359,368,370,379,391,399,405,420,429,433,438,449,605,617,618,628,642,647,657,663,676,678,688,700,704,713,721,736,742,752,757,768,779,783,792,799,812,820,823,837,840,851,865,873,878,889,894,905,909,923,930,934,949,954,963,971,984,992,998,1009,1015,1022,1035,1040,1048,1059,1070,1078,1080,1088,1096,1112,1117,1129,1133,1145,1153,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,29,40,47,55,66,75,77,93,95,105,113,125,132,144,146,153,165,171,198,324,329,339,348,353,362,373,382,392,399,409,412,423,431,444,597,608,612,623,626,637,645,657,662,674,680,693,700,704,716,724,731,744,754,761,770,779,787,796,800,811,817,831,834,840,851,857,866,881,890,895,906,910,921,931,939,942,953,965,973,978,985,998,1005,1016,1021,1035,1040,1045,1058,1065,1075,1087,1095,1099,1106,1117,1126,1133,1142,1154,1163,1164,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,22,33,36,45,57,65,76,85,89,94,110,119,120,132,143,153,157,163,174,313,320,332,342,349,355,367,374,379,387,402,407,412,422,434,442,599,609,610,620,635,642,651,660,661,672,679,690,696,711,717,728,737,739,751,760,764,775,787,789,803,811,816,829,837,840,851,860,873,879,885,897,904,911,925,929,939,947,959,961,969,978,993,999,1005,1011,1023,1028,1040,1046,1053,1066,1077,1080,1090,1097,1112,1116,1125,1130,1147,1153,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,32,34,48,55,65,69,84,93,102,110,112,125,134,137,150,159,168,176,313,324,329,339,351,353,367,373,380,394,398,405,419,422,436,444,600,601,614,622,630,641,646,656,664,676,685,694,703,710,714,721,736,741,747,760,768,772,786,796,805,813,822,831,838,844,851,863,869,880,891,898,903,910,922,928,934,947,958,962,973,980,987,1001,1010,1013,1019,1030,1040,1046,1055,1066,1072,1085,1091,1099,1106,1115,1122,1131,1142,1149,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,21,31,39,46,53,65,72,80,92,98,107,117,127,134,140,152,158,168,172,316,320,332,341,346,353,368,370,385,391,403,408,416,421,432,442,599,606,612,620,632,643,650,654,661,677,678,688,699,705,715,728,731,744,746,756,770,772,786,796,800,814,820,831,833,847,849,863,869,881,883,899,900,911,924,929,934,946,954,967,970,982,993,995,1004,1019,1026,1033,1040,1047,1058,1064,1073,1081,1088,1098,1108,1121,1124,1131,1146,1155,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,31,40,48,58,64,72,78,87,97,104,117,127,132,136,146,160,163,175,313,325,329,338,348,352,367,375,381,393,397,405,413,428,433,445,598,605,615,622,632,640,647,659,664,670,681,691,696,705,714,726,734,740,753,756,769,774,784,795,802,809,818,824,838,843,855,865,868,881,887,897,902,912,918,927,937,950,955,961,975,979,993,1001,1003,1014,1024,1030,1041,1047,1056,1067,1071,1080,1091,1103,1111,1118,1126,1133,1143,1151,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,27,41,44,54,64,72,80,88,94,106,116,123,136,143,150,160,168,172,315,323,335,337,345,358,366,372,381,393,403,409,413,422,435,442,468,606,617,623,628,636,644,657,669,675,685,688,700,710,716,728,735,743,747,761,771,772,782,789,800,807,819,824,833,846,850,862,870,881,888,897,906,915,919,932,937,946,952,961,973,982,989,1001,1003,1018,1023,1033,1042,1051,1055,1067,1075,1079,1091,1101,1110,1114,1125,1131,1143,1153,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,33,42,46,53,66,76,79,90,97,109,117,127,134,144,148,155,163,174,316,321,330,339,346,357,361,374,378,387,403,411,416,426,429,443,461,607,617,621,629,637,651,660,661,674,683,689,696,710,719,723,736,744,754,758,766,777,786,790,805,807,814,829,833,846,853,857,873,882,886,894,900,915,917,930,939,945,952,966,972,984,989,999,1003,1016,1020,1035,1043,1053,1058,1065,1071,1082,1089,1099,1109,1118,1127,1134,1141,1149,1160,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,20,28,38,47,55,63,68,81,93,97,104,116,121,135,140,148,155,165,178,317,321,333,337,351,353,362,376,384,390,401,405,418,425,433,441,596,607,610,625,627,638,649,652,668,671,680,693,698,708,713,725,735,744,749,759,764,774,784,794,803,813,822,824,837,844,850,858,870,880,886,896,902,916,925,928,934,947,956,967,974,982,991,999,1008,1012,1022,1036,1043,1051,1060,1064,1071,1082,1089,1099,1111,1114,1128,1135,1147,1153,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,24,25,36,47,57,61,69,82,87,101,102,115,121,132,143,150,158,163,176,315,322,331,341,350,360,364,376,381,391,399,404,414,424,432,441,596,607,617,621,629,642,647,659,664,673,680,691,695,704,715,724,729,741,747,754,770,774,781,797,800,810,820,824,834,843,850,864,866,875,888,895,906,910,921,928,934,949,956,967,973,981,991,1001,1008,1012,1026,1030,1044,1047,1054,1066,1074,1085,1091,1099,1110,1120,1122,1136,1142,1153,1161,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,17,31,38,49,51,64,74,84,92,98,104,114,127,130,140,149,160,162,177,316,319,335,338,347,353,361,374,378,391,398,408,420,422,437,440,598,608,617,624,628,636,650,656,663,676,679,694,697,706,713,726,735,737,751,755,763,775,781,792,799,810,821,826,839,842,851,862,868,879,883,896,906,910,921,933,935,944,953,963,973,977,988,999,1008,1014,1020,1032,1044,1052,1058,1066,1074,1083,1088,1099,1106,1115,1127,1134,1143,1148,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,19,33,34,47,55,61,75,79,91,96,103,116,126,128,142,153,159,169,178,314,320,330,342,345,360,368,375,385,392,399,411,416,427,436,443,598,605,614,621,627,641,650,659,664,672,680,690,698,704,712,724,731,738,751,762,764,774,786,792,804,809,822,825,834,842,853,858,870,880,888,893,900,909,925,927,935,948,959,960,971,979,985,1001,1005,1019,1025,1032,1039,1049,1061,1064,1075,1081,1092,1096,1107,1120,1129,1132,1141,1147,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,32,34,45,58,67,69,83,92,98,110,112,121,135,137,149,156,169,178,313,322,330,336,350,359,368,372,384,394,398,411,413,428,437,444,466,608,616,622,630,635,649,653,665,671,685,689,694,705,712,727,732,743,749,761,763,777,788,790,798,806,817,823,838,843,851,862,872,882,888,891,902,913,924,933,936,949,957,962,970,984,986,993,1004,1018,1025,1032,1043,1049,1061,1068,1078,1084,1094,1101,1105,1116,1122,1136,1140,1148,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,30,42,43,55,63,73,79,92,95,103,113,124,129,136,146,154,164,175,318,324,327,336,346,359,366,376,378,394,398,408,412,422,432,441,454,608,610,620,632,636,644,660,668,672,680,687,702,710,718,727,731,737,746,759,768,775,786,789,803,813,820,830,839,844,851,861,866,874,887,893,902,908,923,925,937,946,953,961,974,984,988,994,1006,1016,1019,1036,1037,1048,1058,1062,1073,1081,1088,1098,1108,1117,1128,1138,1139,1150,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,32,37,46,58,66,75,76,88,99,109,114,127,132,139,150,160,166,170,183,322,332,337,345,353,364,375,384,389,398,408,416,425,435,443,599,605,609,619,631,642,651,652,669,672,685,689,700,704,718,725,729,744,752,762,764,778,787,794,801,805,815,825,835,841,850,863,868,878,886,897,903,914,923,930,939,946,954,965,969,979,988,1001,1005,1011,1021,1028,1044,1046,1056,1064,1078,1081,1095,1098,1106,1116,1128,1133,1142,1149,1163,1166	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0
8,12,17,28,38,44,56,61,72,83,92,102,105,113,127,135,137,151,153,163,176,185,321,330,341,351,356,369,373,382,393,398,404,414,421,432,440,461,603,609,619,630,636,644,656,666,674,681,686,701,709,718,722,731,742,753,755,771,773,783,790,799,810,815,827,835,840,852,861,869,879,888,895,903,911,918,927,940,944,954,967,973,985,986,996,1002,1017,1024,1034,1037,1046,1057,1068,1077,1079,1091,1101,1106,1120,1128,1136,1144,1153,1156,1170	1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,24,26,37,45,52,64,73,83,88,101,103,115,119,133,138,153,161,169,174,191,322,332,343,350,357,363,370,381,394,395,403,414,426,437,445,463,600,612,619,631,641,644,657,666,677,686,691,695,708,712,721,734,745,749,760,766,771,786,796,802,807,817,828,837,846,855,863,865,878,883,893,905,912,923,930,940,942,954,961,975,982,992,998,1006,1013,1026,1033,1042,1051,1054,1069,1071,1079,1091,1097,1107,1114,1122,1130,1146,1154,1163,1170,1178	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,24,28,35,47,56,67,69,83,87,99,107,112,127,134,142,145,156,168,178,190,320,328,339,348,358,362,377,383,387,397,408,414,427,431,442,600,602,616,619,634,636,644,655,666,669,678,689,697,706,717,725,736,741,748,762,765,776,783,796,805,812,822,826,833,840,850,859,866,881,886,897,904,915,925,931,941,947,956,961,973,977,988,1001,1004,1016,1023,1035,1037,1046,1058,1065,1074,1080,1092,1099,1110,1120,1125,1136,1145,1148,1157,1165,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0
8,9,19,28,40,46,58,62,74,83,93,95,106,113,121,134,144,151,159,169,177,189,319,332,340,347,357,367,371,380,394,402,408,417,424,435,444,451,608,613,620,631,638,650,657,663,674,678,690,700,708,719,728,733,740,749,760,765,772,780,795,798,809,822,830,833,843,854,865,867,879,884,896,904,912,922,933,936,942,951,965,974,977,991,996,1004,1018,1025,1030,1039,1050,1055,1068,1078,1086,1095,1099,1106,1117,1127,1138,1146,1151,1156,1165,1176	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,20,33,39,50,59,61,74,80,86,96,103,117,120,130,138,145,160,165,176,184,318,331,335,348,360,363,372,386,390,402,407,413,425,436,445,596,607,610,625,627,640,651,660,666,673,678,689,699,710,713,725,729,743,750,763,768,779,785,795,801,810,821,825,833,840,850,864,868,875,885,892,907,908,920,925,935,950,952,961,975,977,986,996,1006,1016,1019,1030,1036,1047,1055,1067,1078,1081,1088,1102,1107,1115,1130,1138,1147,1148,1161,1166,1175	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,14,23,26,36,51,53,67,69,84,89,98,103,111,126,131,142,151,156,166,175,317,319,329,339,346,358,361,375,386,388,399,409,415,425,430,439,599,603,616,624,627,636,645,656,666,671,681,692,700,704,718,724,735,739,748,756,769,774,782,793,805,809,819,826,831,845,853,858,872,879,890,892,904,915,920,933,940,950,955,962,969,981,990,1000,1010,1011,1023,1033,1042,1052,1056,1062,1073,1086,1094,1098,1112,1120,1127,1134,1146,1153,1159,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,30,35,50,57,67,72,84,88,95,110,117,126,131,141,147,156,164,174,185,322,328,337,345,352,363,375,386,388,399,410,413,426,437,441,468,609,611,625,634,641,645,654,662,675,680,691,697,704,717,720,733,740,748,759,769,773,780,796,802,807,815,829,837,841,852,860,866,881,890,891,907,909,919,925,938,948,954,966,968,984,990,1001,1010,1013,1025,1036,1040,1046,1061,1070,1073,1080,1093,1098,1105,1114,1130,1133,1143,1154,1164,1172	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
6,12,20,29,34,47,53,68,73,80,86,99,108,111,123,128,144,152,161,167,177,313,325,327,342,351,355,363,378,384,391,402,411,416,426,430,442,451,601,610,625,634,641,644,660,662,677,681,691,703,704,718,720,735,741,749,757,769,776,783,791,802,811,816,824,834,846,853,859,866,877,890,898,904,916,925,930,936,942,953,961,972,983,988,995,1008,1017,1024,1036,1043,1046,1060,1069,1072,1079,1094,1102,1110,1121,1122,1131,1143,1154,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,20,28,41,48,54,64,73,83,89,102,106,117,125,130,140,146,161,163,174,183,325,332,336,347,353,364,374,381,388,400,409,420,422,435,439,468,608,615,625,634,637,646,653,669,677,685,688,698,706,715,722,736,743,752,762,767,778,788,795,802,812,815,823,835,842,855,858,872,882,883,896,906,915,922,926,934,947,955,960,975,983,989,997,1006,1016,1019,1033,1037,1046,1058,1064,1071,1085,1095,1104,1110,1119,1122,1138,1143,1147,1156,1167	1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,16,25,27,36,47,56,65,72,84,90,100,109,112,126,130,141,145,160,168,170,214,319,328,336,344,355,367,375,379,387,398,409,415,422,433,444,451,606,614,621,630,642,645,659,663,674,678,694,698,711,714,727,732,741,747,758,771,779,785,790,801,811,816,823,837,841,853,859,871,876,887,899,902,909,924,930,939,945,958,962,968,977,992,997,1007,1018,1025,1029,1042,1050,1054,1062,1076,1080,1091,1101,1109,1120,1129,1130,1143,1148,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,19,27,40,47,52,62,74,78,91,95,106,115,123,135,140,146,157,163,176,182,322,326,343,344,360,362,373,379,392,396,410,420,424,430,440,600,605,615,625,632,640,651,657,668,670,683,692,696,706,720,728,733,745,753,757,764,774,781,794,798,806,819,828,833,848,856,862,867,878,883,895,900,911,924,929,936,944,956,964,968,982,990,996,1008,1016,1023,1030,1044,1052,1054,1066,1073,1080,1094,1097,1109,1117,1124,1134,1146,1149,1157,1167,1176	0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,17,28,35,48,56,63,69,79,93,97,108,118,125,131,137,146,159,164,174,198,324,328,343,349,360,364,377,386,393,396,411,413,420,432,445,597,601,614,618,631,639,645,657,667,676,684,687,701,704,719,728,732,739,748,758,766,773,786,792,797,806,819,830,836,844,853,862,869,879,889,893,908,914,919,926,937,948,953,962,972,981,987,1001,1009,1014,1024,1035,1038,1048,1054,1067,1074,1086,1094,1099,1110,1113,1122,1137,1143,1149,1163,1172,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
6,16,23,32,41,44,56,66,72,77,92,93,105,113,120,133,137,148,160,165,173,183,320,331,339,346,360,363,371,378,391,400,408,414,423,431,444,600,603,610,625,628,641,644,654,667,673,681,691,696,707,714,720,733,739,750,761,765,773,788,796,800,807,821,829,834,846,853,864,874,877,885,898,907,916,922,932,942,946,958,959,973,982,992,1001,1002,1012,1019,1032,1037,1048,1058,1066,1071,1086,1095,1101,1110,1117,1130,1138,1141,1155,1164,1168	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,16,22,30,35,47,57,62,68,79,88,102,107,113,123,128,136,148,153,162,171,190,321,331,336,352,354,361,373,378,387,397,408,419,425,437,444,599,601,612,622,626,642,649,655,663,676,680,693,697,709,713,724,735,743,746,755,768,774,787,796,798,812,816,830,836,847,849,863,873,876,882,896,905,912,919,930,942,945,952,965,974,980,989,1002,1008,1015,1019,1030,1041,1051,1060,1062,1072,1087,1093,1098,1107,1118,1127,1133,1140,1148,1157,1164,1178	1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,11,17,25,38,45,57,67,71,82,86,97,110,112,121,134,138,151,155,166,176,317,325,334,336,347,353,364,375,381,394,399,410,414,420,437,438,600,606,612,620,627,636,647,660,668,673,686,693,696,703,718,724,732,744,748,756,770,774,783,793,801,809,818,830,832,848,856,857,866,874,885,898,902,914,919,931,936,943,959,961,969,979,989,999,1004,1016,1025,1029,1041,1052,1057,1067,1076,1085,1089,1099,1105,1119,1128,1137,1143,1149,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,28,39,50,56,62,69,83,92,98,108,113,127,131,141,146,160,170,177,315,324,331,338,349,357,362,373,382,394,401,409,416,428,435,439,598,605,610,625,634,636,648,654,661,670,684,690,696,707,718,721,730,741,749,758,768,774,783,792,800,806,818,827,837,848,856,858,869,880,886,896,900,909,922,925,942,947,958,964,974,985,993,996,1009,1013,1020,1035,1044,1046,1053,1063,1075,1087,1092,1103,1111,1116,1124,1135,1145,1148,1164,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,21,30,42,45,53,63,68,84,87,98,103,114,127,133,138,150,161,168,174,313,324,329,338,345,356,363,372,385,388,396,406,415,429,436,441,447,602,611,623,627,637,648,656,667,672,684,690,696,706,719,726,733,741,754,761,763,779,787,789,800,807,822,828,838,846,849,864,866,878,885,896,904,914,923,931,934,945,955,960,975,983,987,994,1005,1018,1019,1028,1039,1049,1059,1067,1077,1085,1092,1099,1110,1120,1127,1136,1141,1150,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,26,42,50,53,62,68,77,90,95,104,118,119,134,142,151,155,165,174,316,325,331,342,346,357,366,375,385,394,399,406,412,423,434,440,466,609,610,619,631,636,650,653,668,676,678,692,696,709,716,722,737,745,747,757,768,773,783,794,803,806,819,831,832,841,848,863,872,879,889,891,908,911,918,933,937,946,957,966,969,979,990,996,1004,1019,1023,1032,1044,1045,1053,1066,1076,1087,1088,1101,1105,1116,1127,1132,1146,1150,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,20,33,41,47,54,64,69,81,91,95,110,114,121,133,139,152,159,169,177,316,319,327,336,347,358,364,371,382,387,402,407,417,422,433,443,597,609,613,624,634,635,643,653,668,669,680,687,698,707,714,725,733,744,750,759,769,775,783,795,797,811,818,827,833,843,850,857,868,877,885,896,907,914,919,932,937,943,953,964,971,976,990,998,1007,1016,1022,1031,1038,1052,1056,1068,1074,1084,1088,1099,1109,1118,1126,1133,1147,1155,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,31,38,50,58,63,74,84,93,94,106,112,124,130,137,150,156,169,179,313,324,327,338,346,353,363,372,378,391,399,410,417,421,437,442,597,608,616,618,629,640,649,654,663,676,680,688,700,704,717,728,730,744,750,755,763,776,786,795,799,813,815,827,836,844,856,859,871,881,883,895,905,915,923,931,939,950,951,965,970,980,985,995,1006,1012,1020,1034,1038,1049,1055,1069,1073,1087,1088,1097,1105,1120,1129,1132,1142,1150,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,29,41,48,55,64,71,84,87,98,102,116,125,135,141,149,154,170,177,316,325,334,340,344,354,362,373,384,390,401,406,418,421,432,437,450,603,610,624,631,642,645,657,667,677,680,689,696,709,714,723,735,739,746,758,765,779,783,795,804,807,817,830,836,845,850,862,866,879,890,895,903,910,924,930,935,945,952,964,972,984,986,993,1005,1011,1021,1034,1038,1049,1060,1067,1072,1086,1091,1103,1110,1118,1125,1135,1145,1147,1158,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,24,31,39,45,54,66,74,84,88,100,105,113,120,131,143,147,158,169,172,316,326,333,338,345,353,366,375,382,393,398,404,413,422,436,440,599,605,617,622,630,639,646,652,663,669,684,691,696,706,715,721,737,743,753,762,768,776,787,794,800,812,820,825,838,844,849,860,872,879,883,894,900,913,924,929,940,947,958,960,973,983,991,995,1006,1015,1020,1032,1039,1045,1058,1067,1078,1083,1089,1099,1112,1117,1122,1130,1143,1150,1163,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,28,37,50,53,62,68,81,88,101,109,115,125,130,143,147,160,162,173,180,319,331,335,352,359,364,370,384,391,397,407,418,424,430,441,448,605,617,624,630,636,651,657,668,669,682,692,696,711,717,725,732,744,753,760,766,775,782,790,799,809,821,826,838,846,856,865,868,876,886,895,903,909,920,931,939,948,953,961,973,984,992,995,1005,1012,1022,1033,1042,1051,1059,1070,1078,1087,1089,1102,1111,1114,1126,1135,1142,1150,1159,1170,1173	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,9,20,29,41,45,57,65,71,80,92,102,108,117,121,130,144,148,155,169,178,315,324,332,339,349,357,365,371,385,386,403,412,414,426,435,446,600,602,613,622,628,642,646,660,663,672,682,693,698,707,717,727,734,742,753,761,766,777,783,790,803,808,817,823,837,845,852,857,868,882,890,894,905,910,922,933,942,943,958,965,969,977,992,999,1004,1016,1027,1031,1043,1052,1054,1066,1072,1086,1088,1098,1105,1118,1125,1136,1146,1155,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,33,38,45,57,64,75,82,87,99,104,115,127,134,139,148,159,168,176,313,321,331,338,349,361,367,374,380,387,396,404,416,424,432,445,596,605,615,618,628,642,649,652,668,676,684,690,700,708,713,727,734,743,753,762,768,778,783,793,800,814,816,828,838,845,852,857,869,882,888,897,902,915,919,932,940,948,955,960,970,984,993,996,1010,1018,1027,1034,1041,1047,1054,1068,1072,1086,1092,1104,1111,1114,1126,1133,1142,1149,1156,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,17,29,36,44,53,61,76,77,87,95,102,115,124,135,139,145,155,166,171,316,326,334,342,351,352,365,376,382,393,398,404,418,422,435,438,598,602,612,625,635,637,645,658,663,671,686,691,699,710,719,721,732,743,751,756,768,779,784,795,800,812,815,825,831,842,854,861,870,881,888,897,902,913,925,933,934,947,953,967,970,980,985,995,1003,1017,1024,1028,1043,1045,1055,1065,1077,1084,1092,1103,1106,1116,1124,1136,1146,1150,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,31,36,48,52,60,68,84,90,100,104,111,123,128,142,147,160,163,172,318,326,334,342,347,352,368,372,380,393,401,412,415,424,437,444,598,609,617,622,632,639,647,652,665,673,680,689,701,705,719,722,730,738,748,760,764,779,784,791,799,808,820,830,833,842,855,862,866,878,885,898,908,913,924,926,936,945,953,959,975,980,987,1000,1003,1018,1021,1028,1038,1047,1056,1069,1076,1085,1093,1100,1112,1115,1130,1136,1139,1149,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,32,36,48,53,66,74,83,90,94,106,116,127,128,143,152,155,165,174,196,325,333,340,347,353,363,373,381,393,402,409,417,424,435,440,458,603,616,619,627,638,643,652,666,675,682,689,697,711,715,723,733,745,751,755,768,775,781,795,801,807,815,824,839,847,853,858,871,875,884,897,906,908,919,933,935,950,953,962,972,980,989,1001,1003,1013,1027,1028,1041,1047,1057,1064,1075,1081,1088,1101,1109,1119,1130,1138,1144,1154,1164,1172	0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
6,10,19,30,35,49,59,65,72,77,88,101,103,119,127,135,142,152,160,170,178,316,320,331,340,343,358,364,374,381,389,397,406,419,427,432,444,598,604,611,620,630,640,646,657,661,675,680,687,700,707,717,725,733,739,750,758,766,775,788,795,799,809,820,824,834,846,851,864,873,876,888,895,902,912,917,929,936,943,953,960,972,977,992,995,1003,1011,1026,1031,1042,1049,1054,1065,1076,1081,1094,1097,1111,1118,1125,1130,1142,1147,1157,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,27,38,44,53,66,73,82,86,94,105,115,120,129,141,147,161,165,173,313,319,326,343,344,356,363,373,385,391,396,407,417,428,432,439,460,606,613,622,627,636,646,659,664,669,682,687,698,706,712,725,730,737,747,761,770,777,788,790,804,809,816,826,839,845,849,861,868,879,889,894,905,915,921,925,934,946,956,965,973,979,985,996,1006,1012,1020,1031,1039,1048,1059,1068,1073,1087,1091,1101,1105,1113,1129,1132,1141,1150,1157,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,26,36,47,52,63,73,82,87,100,107,113,119,134,138,151,161,169,176,318,326,328,342,351,355,367,377,383,392,399,410,415,421,432,442,596,606,610,624,632,641,649,659,662,673,682,687,698,704,715,721,735,739,751,758,765,777,784,792,802,806,817,824,836,840,851,861,869,874,883,897,906,914,921,928,934,943,956,963,970,983,988,999,1003,1019,1021,1035,1042,1045,1059,1070,1078,1085,1090,1098,1105,1115,1128,1133,1144,1152,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,25,30,41,49,53,66,72,81,85,100,109,118,127,130,141,145,157,165,177,314,325,333,337,345,352,369,377,384,392,401,410,417,421,432,441,465,602,614,623,628,637,644,653,667,671,680,691,702,706,718,725,733,743,747,756,770,775,781,793,804,810,817,824,837,847,854,861,872,882,886,899,901,910,920,927,936,945,951,965,973,982,987,998,1009,1017,1026,1033,1042,1048,1061,1062,1072,1081,1094,1100,1108,1118,1125,1130,1142,1149,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,23,28,38,50,54,64,70,83,85,96,102,118,122,131,140,153,156,168,175,316,326,334,338,346,355,369,370,379,392,402,410,419,426,434,446,596,606,617,618,630,640,648,657,667,671,680,694,698,709,720,724,734,742,753,759,767,779,781,792,799,811,821,827,838,844,857,862,867,881,890,898,903,914,923,931,940,945,958,965,970,980,989,1002,1007,1012,1021,1030,1043,1047,1059,1068,1075,1084,1089,1098,1110,1120,1122,1134,1141,1155,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,23,27,37,50,57,62,73,83,90,96,103,115,123,130,137,153,161,165,176,316,326,327,335,344,356,363,372,383,392,397,410,412,424,434,438,466,605,616,618,627,637,647,656,666,672,685,691,698,705,714,725,733,737,751,756,764,776,780,795,805,806,822,826,832,844,848,864,869,877,883,892,905,916,921,929,939,943,951,960,970,983,986,1002,1010,1016,1026,1032,1041,1047,1057,1065,1078,1083,1095,1096,1106,1120,1122,1130,1140,1155,1159,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,30,34,45,52,64,68,83,86,99,107,111,120,136,141,147,155,162,175,318,323,329,340,346,355,364,373,381,392,401,411,418,427,430,438,597,605,613,625,634,638,648,653,660,677,678,690,697,703,718,727,730,739,752,762,764,779,782,793,798,812,817,828,833,840,854,859,868,874,890,892,905,912,918,925,939,942,954,965,969,981,992,1001,1008,1013,1026,1034,1041,1050,1059,1064,1072,1085,1088,1099,1109,1118,1122,1137,1146,1155,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,32,36,43,57,60,69,78,91,100,109,112,121,132,140,148,161,162,172,314,320,334,342,345,358,361,369,386,394,401,411,413,424,431,439,600,601,616,626,629,643,647,658,662,676,684,689,701,705,714,728,730,739,752,756,770,772,787,791,802,808,821,827,837,846,849,862,874,875,888,897,901,915,918,929,938,943,952,963,968,982,986,995,1007,1017,1020,1030,1043,1049,1058,1066,1076,1079,1094,1100,1109,1120,1129,1136,1146,1148,1160,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,28,40,45,52,65,71,82,93,99,110,116,120,132,138,145,159,162,178,313,321,334,339,349,359,362,370,384,387,398,410,417,423,433,440,599,609,611,619,631,641,650,654,662,670,678,688,696,709,713,726,737,743,754,758,770,772,787,790,797,810,821,827,834,844,848,857,867,875,883,893,904,916,917,926,941,948,952,960,969,981,993,1001,1004,1011,1019,1031,1039,1047,1054,1067,1072,1079,1092,1097,1104,1121,1129,1133,1145,1155,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,33,39,45,53,61,71,79,93,100,110,115,124,133,136,148,159,164,178,315,319,331,342,350,360,369,372,385,393,401,407,416,426,433,441,600,609,613,618,633,640,644,659,663,677,681,686,702,710,714,726,729,742,747,759,766,776,788,790,801,806,815,827,838,842,849,858,865,882,890,893,902,911,920,933,935,949,956,967,974,977,992,994,1003,1012,1027,1035,1039,1049,1055,1067,1078,1084,1089,1101,1104,1113,1123,1132,1146,1154,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,33,36,46,52,61,69,81,93,95,107,113,123,130,137,146,160,165,173,314,325,328,337,350,354,363,371,379,387,400,408,416,427,436,440,449,600,614,625,630,637,648,660,667,673,678,687,700,703,717,728,732,744,752,759,763,775,781,794,800,807,818,825,836,846,848,865,874,881,883,892,906,910,917,926,938,947,954,966,972,979,985,998,1002,1017,1022,1032,1039,1049,1061,1062,1073,1082,1094,1097,1104,1117,1126,1130,1145,1149,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,28,36,46,52,67,73,85,88,100,107,118,126,130,140,148,154,170,174,314,320,329,338,346,356,361,376,381,394,398,409,419,425,432,438,599,603,610,619,627,636,647,659,668,669,684,691,695,707,712,725,734,741,748,757,768,775,783,797,800,809,815,823,839,847,851,864,871,880,883,899,901,908,923,926,935,950,955,965,970,978,989,997,1009,1011,1023,1032,1040,1046,1054,1065,1077,1079,1095,1098,1107,1114,1126,1136,1146,1149,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,26,35,47,56,64,75,83,90,97,105,111,123,129,141,148,159,166,174,181,319,335,336,349,355,362,373,385,388,399,407,415,423,436,446,596,601,616,623,626,638,650,654,661,671,683,689,699,708,717,720,734,739,751,760,768,772,786,789,804,807,821,829,836,840,852,860,873,880,890,894,900,915,922,928,934,946,952,964,970,981,990,996,1010,1013,1023,1033,1036,1048,1057,1070,1078,1084,1094,1101,1111,1117,1127,1136,1144,1149,1161,1169	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,24,26,42,48,51,66,73,83,92,96,104,111,119,129,144,152,155,168,179,190,326,327,337,348,356,362,376,383,390,403,406,415,421,433,441,600,608,613,624,626,640,645,660,663,675,679,694,696,709,717,720,731,743,749,756,763,779,782,792,804,813,821,829,839,843,852,859,871,874,889,898,907,911,924,926,940,946,954,967,970,977,990,1000,1007,1010,1024,1036,1041,1053,1060,1065,1075,1084,1093,1102,1111,1115,1124,1132,1144,1149,1162,1165,1174	0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,19,27,40,50,55,61,73,82,89,95,109,111,127,132,139,149,157,168,175,181,325,331,342,351,358,361,376,378,389,399,406,412,424,435,438,469,605,616,622,631,639,646,657,663,673,685,689,699,709,715,720,729,745,752,758,768,778,782,794,805,813,815,830,833,846,850,863,870,880,890,893,904,915,918,931,942,946,951,961,975,977,992,994,1005,1013,1021,1034,1039,1047,1053,1069,1075,1086,1095,1096,1110,1114,1126,1132,1142,1155,1156,1171	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,15,20,31,41,45,51,64,75,77,85,98,106,111,125,131,142,145,159,169,172,188,319,328,337,345,356,366,377,385,389,397,408,418,425,430,442,451,608,615,618,630,641,646,656,662,673,683,687,700,705,718,723,733,740,747,760,766,778,783,793,798,813,821,830,833,845,853,857,865,882,887,897,904,913,917,928,941,948,951,965,969,984,992,995,1010,1016,1020,1033,1038,1053,1056,1065,1074,1081,1094,1100,1107,1114,1125,1138,1143,1151,1160,1167,1176	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,21,26,36,51,55,62,75,84,87,94,108,118,121,133,144,149,162,170,172,189,325,327,340,347,352,365,371,386,389,398,406,414,426,431,443,596,607,612,622,630,639,644,657,668,673,680,689,702,708,715,722,733,741,748,756,767,771,783,794,802,809,817,824,838,846,853,863,873,879,888,894,905,910,921,927,939,949,951,962,969,982,991,993,1006,1016,1024,1031,1043,1053,1054,1066,1078,1085,1091,1104,1110,1115,1125,1136,1140,1155,1162,1167	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,17,32,37,46,58,61,71,79,91,98,104,114,120,129,138,148,159,164,176,181,322,334,336,351,357,369,377,378,392,395,405,412,423,430,444,600,603,611,618,626,640,651,653,667,676,681,690,696,705,713,720,729,745,748,757,771,777,787,790,804,806,821,823,838,845,851,862,868,878,887,895,901,913,925,926,941,947,958,962,973,983,990,997,1008,1012,1025,1034,1037,1050,1055,1064,1070,1082,1095,1097,1112,1118,1127,1133,1140,1153,1164,1171,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,13,24,32,38,51,55,64,69,84,89,95,108,118,126,136,143,150,157,168,175,179,318,333,339,348,354,363,374,386,393,403,411,416,420,436,443,597,604,615,626,629,643,651,656,663,669,684,686,701,709,719,723,734,742,748,757,768,775,784,791,798,808,821,827,831,840,855,864,866,876,886,893,905,911,918,930,935,942,953,962,972,982,991,1001,1002,1015,1024,1028,1043,1045,1057,1069,1074,1083,1094,1102,1111,1116,1130,1133,1145,1149,1156,1168,1174	0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,11,20,30,34,44,52,61,70,78,88,95,104,111,124,132,140,147,155,166,174,185,325,332,338,344,358,364,373,380,388,399,409,419,427,430,445,597,601,612,625,630,636,650,657,666,676,679,694,703,709,713,727,736,742,752,756,766,778,788,796,805,808,817,824,836,845,850,860,869,876,889,896,900,914,918,927,940,943,959,966,969,982,989,998,1004,1011,1027,1034,1043,1051,1060,1068,1075,1085,1095,1097,1105,1117,1123,1137,1144,1148,1158,1167,1178	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,9,17,25,39,48,51,62,74,80,87,94,108,118,126,135,141,146,158,166,177,316,326,331,336,348,357,364,374,378,386,396,411,413,422,431,440,598,601,611,619,627,637,645,655,664,674,684,690,695,704,719,728,734,745,753,759,764,771,782,789,799,806,816,829,834,841,856,862,873,877,883,898,905,912,924,927,941,948,952,961,973,979,992,1000,1007,1013,1020,1031,1043,1052,1055,1064,1072,1084,1093,1101,1108,1118,1127,1138,1140,1148,1156,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,21,31,38,44,53,64,72,80,86,94,108,119,126,132,137,149,157,168,175,193,321,331,340,350,356,367,371,385,392,402,404,419,428,431,438,450,605,615,626,631,641,646,653,666,671,681,692,701,710,712,722,735,745,746,759,766,773,781,796,801,807,814,830,835,843,851,864,873,882,887,892,903,908,924,925,941,947,955,965,968,980,992,1000,1007,1015,1027,1033,1042,1046,1057,1066,1075,1081,1090,1102,1105,1119,1127,1134,1146,1154,1162,1169,1178	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
4,9,18,31,34,47,52,68,69,80,92,102,108,112,121,129,138,147,161,170,171,190,322,329,343,352,357,361,374,380,390,396,411,415,421,431,446,598,601,615,625,632,635,647,658,664,669,679,692,697,707,717,722,733,745,751,755,769,772,781,794,804,814,816,830,833,847,854,862,869,877,888,894,902,910,923,928,936,946,952,960,976,982,985,1000,1005,1017,1026,1027,1044,1047,1054,1067,1078,1084,1087,1097,1111,1114,1122,1136,1141,1152,1157,1166	1,0,1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
2,12,22,29,34,47,52,59,72,77,88,98,106,116,120,136,141,150,157,162,175,188,323,332,337,350,358,364,373,385,388,397,409,415,427,429,438,453,603,613,621,627,643,650,656,664,672,685,693,702,709,716,724,729,739,752,755,763,773,783,788,798,807,820,830,834,842,856,858,866,878,885,896,907,915,917,928,936,943,952,960,968,980,988,999,1007,1018,1023,1032,1044,1046,1056,1067,1074,1083,1093,1096,1106,1115,1123,1131,1146,1150,1164,1170	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,16,20,26,34,46,55,61,76,82,90,96,106,116,123,131,138,148,156,165,178,188,319,335,338,351,353,364,372,384,387,398,406,414,423,436,438,598,605,617,623,628,639,646,658,668,671,683,693,697,711,712,728,733,741,748,754,764,772,786,790,800,812,817,825,832,842,855,862,871,875,883,892,902,914,923,928,934,944,954,960,971,984,987,1000,1007,1014,1022,1032,1044,1046,1060,1063,1073,1082,1095,1097,1109,1116,1124,1132,1140,1149,1160,1168,1174	0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,15,18,29,34,50,55,66,68,80,90,94,110,117,122,133,143,146,158,165,172,197,320,327,343,350,354,369,373,382,387,402,404,417,421,437,438,596,603,611,621,629,642,644,654,663,674,682,691,701,707,717,725,732,746,747,758,770,773,786,795,801,805,818,831,836,844,855,858,873,879,885,892,907,915,917,929,936,944,959,965,971,984,987,994,1003,1011,1027,1028,1037,1046,1060,1067,1070,1087,1095,1104,1111,1114,1127,1133,1146,1149,1157,1172	1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,16,22,33,42,46,53,62,75,80,91,100,104,116,125,132,140,147,156,165,178,183,321,333,339,351,354,361,375,379,393,401,408,414,425,435,445,598,605,616,620,627,640,648,655,666,673,679,691,701,710,714,727,732,743,748,754,771,772,787,794,798,811,816,829,836,842,849,863,868,876,887,891,903,916,920,931,937,943,954,968,971,981,985,1000,1007,1017,1020,1036,1037,1049,1060,1069,1078,1085,1088,1099,1110,1120,1123,1136,1139,1147,1163,1170,1176	0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,18,30,37,44,59,66,72,76,87,98,106,118,120,131,145,151,162,165,178,314,322,332,339,344,360,362,372,381,390,402,408,415,424,432,441,596,604,615,625,630,636,643,655,668,671,680,692,700,705,717,721,732,740,753,755,768,774,780,797,804,805,820,824,833,841,851,864,872,876,890,896,906,915,923,928,937,946,954,962,976,984,993,1000,1009,1016,1021,1030,1039,1050,1055,1065,1074,1081,1096,1098,1106,1121,1125,1135,1143,1153,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,18,28,40,43,58,61,75,83,93,96,104,113,120,128,143,148,162,163,176,314,323,326,339,351,359,361,375,382,392,400,405,412,428,432,442,462,605,617,623,627,642,651,653,661,676,678,690,699,710,717,726,732,745,753,756,769,775,787,794,805,812,817,825,839,840,855,863,870,881,882,892,901,908,920,930,936,947,953,966,970,981,989,1000,1008,1015,1020,1035,1044,1046,1054,1065,1078,1085,1090,1099,1106,1116,1125,1132,1147,1154,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,25,34,43,59,60,70,83,90,94,104,117,126,128,139,146,155,164,172,315,318,326,339,350,355,362,372,383,386,400,405,415,424,437,442,468,602,613,623,630,642,648,657,668,674,682,689,695,703,714,723,729,745,747,761,769,778,782,797,802,809,822,826,836,846,851,865,866,881,884,897,907,914,921,927,936,947,958,963,968,976,993,999,1008,1015,1027,1031,1040,1050,1060,1069,1077,1085,1094,1103,1111,1116,1123,1137,1140,1155,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,34,35,49,58,62,75,80,92,95,107,112,119,131,142,152,155,166,178,316,325,327,341,345,354,368,370,381,389,402,409,413,428,429,439,600,607,611,623,633,642,648,658,664,677,682,688,697,708,717,722,734,739,746,757,763,776,783,789,801,812,815,827,837,847,852,861,867,876,890,899,902,909,923,933,936,950,952,960,973,982,985,1002,1007,1013,1020,1036,1041,1048,1056,1062,1078,1084,1090,1102,1106,1116,1124,1132,1146,1154,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,18,29,40,47,54,65,75,82,85,97,104,118,121,132,144,151,157,170,172,315,319,335,341,348,360,361,375,384,389,400,410,413,428,433,445,460,604,617,624,629,637,651,653,665,672,684,692,700,708,714,727,734,742,749,760,767,775,788,793,803,806,818,825,838,842,852,865,871,880,888,899,900,911,918,926,934,948,958,966,974,983,991,1001,1005,1017,1023,1031,1041,1047,1058,1065,1073,1087,1091,1096,1108,1120,1129,1136,1141,1154,1162,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,33,35,46,58,66,76,77,88,100,102,116,125,135,143,145,159,166,177,314,321,333,339,347,357,368,375,381,388,401,404,413,429,436,442,600,601,616,621,627,642,649,657,668,675,683,690,700,703,719,725,733,739,751,756,770,772,788,793,800,809,819,825,834,843,850,863,873,880,887,891,906,910,920,932,937,949,953,962,970,982,990,995,1007,1014,1022,1034,1041,1046,1060,1067,1077,1083,1089,1103,1112,1119,1125,1131,1139,1155,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,29,34,51,58,67,76,80,92,102,105,113,123,134,142,151,158,167,176,316,322,331,340,349,359,364,375,379,390,396,406,414,421,429,441,460,609,611,622,627,639,648,656,663,677,678,692,699,708,714,725,730,738,748,755,771,773,787,790,797,812,820,830,835,841,851,862,873,882,883,896,908,910,924,929,939,950,954,966,975,978,989,993,1009,1010,1023,1035,1039,1046,1058,1062,1078,1085,1095,1099,1108,1121,1127,1136,1141,1154,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,18,32,34,45,59,61,71,80,90,102,109,111,123,133,142,148,155,169,179,318,322,330,340,351,354,365,376,378,390,400,408,417,422,433,443,598,601,614,618,629,640,651,654,666,670,685,689,695,709,717,724,734,739,747,761,771,778,786,790,799,813,814,827,831,842,852,860,871,882,886,891,899,912,924,925,935,950,955,967,971,984,985,1002,1003,1014,1024,1028,1038,1053,1054,1068,1073,1082,1095,1097,1110,1118,1128,1131,1142,1154,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,25,33,40,50,58,67,70,83,91,99,108,117,123,136,142,148,161,166,171,183,326,330,342,348,353,368,375,386,387,396,406,417,427,433,445,454,606,612,618,630,635,651,660,665,671,678,690,701,711,712,722,736,739,750,760,763,772,780,793,802,806,816,826,836,848,853,858,866,880,890,898,907,915,923,933,940,948,952,964,971,984,985,1001,1004,1016,1024,1029,1044,1045,1061,1063,1075,1085,1089,1101,1105,1117,1123,1135,1141,1150,1161,1166,1174	0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,12,19,28,34,46,55,65,70,83,88,98,107,115,124,132,139,149,154,169,175,317,325,331,340,344,359,368,377,386,390,399,406,414,424,436,442,455,608,610,620,632,638,651,654,661,670,683,691,702,709,717,728,733,739,752,754,764,773,783,792,799,813,821,829,835,841,852,858,870,876,887,899,901,915,924,930,934,942,955,967,975,977,991,995,1003,1012,1020,1030,1041,1050,1057,1067,1074,1079,1088,1102,1111,1116,1128,1136,1143,1147,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,23,29,40,47,58,68,73,83,88,97,107,113,125,135,137,147,160,163,177,315,320,329,336,345,354,366,376,378,393,401,412,415,425,430,445,599,605,612,619,629,642,649,652,664,670,684,692,700,707,715,721,732,738,746,761,768,778,782,796,797,807,816,831,833,846,854,863,868,874,886,895,907,911,922,932,940,946,952,966,975,977,990,999,1005,1011,1026,1029,1044,1045,1057,1067,1076,1083,1091,1099,1109,1119,1126,1134,1145,1147,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,28,34,43,55,61,69,78,93,95,105,117,125,129,141,153,162,167,178,315,319,327,338,348,359,362,374,385,394,398,412,418,425,432,446,598,608,610,621,634,636,645,657,662,669,681,691,697,704,712,723,732,738,746,757,766,779,786,796,803,810,817,824,833,844,852,864,872,882,884,891,907,913,920,927,935,943,951,963,969,976,985,997,1007,1017,1026,1036,1037,1052,1056,1066,1071,1084,1092,1104,1106,1117,1130,1135,1145,1151,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,31,37,49,55,67,71,84,92,96,108,115,125,135,138,147,160,164,176,313,321,330,342,352,354,361,371,379,391,396,407,416,422,436,440,597,604,613,618,632,636,647,655,664,676,680,689,698,704,719,728,736,741,753,756,770,771,784,793,801,809,816,824,832,842,853,865,870,875,891,894,907,912,919,930,940,942,959,963,971,984,985,994,1006,1011,1025,1029,1043,1046,1058,1062,1078,1082,1092,1101,1106,1117,1129,1133,1147,1150,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,31,41,50,53,65,74,83,85,97,104,115,120,132,141,146,157,162,178,185,322,334,339,348,356,369,373,383,389,399,406,416,425,437,445,465,606,610,621,631,636,647,655,666,672,681,686,702,703,719,723,731,744,749,754,764,777,786,792,799,813,815,823,836,846,857,861,872,880,888,898,903,912,925,930,941,945,951,962,972,983,985,994,1005,1017,1020,1030,1041,1051,1060,1063,1077,1085,1094,1101,1105,1121,1125,1132,1144,1149,1157,1169,1175	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,26,39,48,52,65,69,84,91,94,110,118,126,129,142,152,159,166,175,315,324,329,339,346,354,361,372,380,388,401,403,413,421,434,440,449,607,613,620,631,637,647,657,666,672,684,689,699,706,716,724,729,743,751,757,764,774,783,789,805,809,818,825,832,844,856,857,871,877,884,895,904,912,922,933,941,948,952,960,969,979,985,995,1007,1015,1024,1032,1043,1053,1061,1069,1078,1081,1089,1100,1105,1113,1126,1137,1144,1151,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,26,36,46,59,67,74,81,87,95,106,113,122,132,138,145,158,166,176,317,322,334,337,346,358,368,378,383,388,403,409,414,426,429,442,453,605,612,619,634,637,643,656,664,677,678,693,700,705,718,727,736,745,748,761,766,773,783,795,802,806,815,830,831,843,854,860,873,876,884,892,905,909,924,925,936,944,958,964,970,982,988,998,1009,1018,1025,1027,1037,1048,1060,1064,1076,1079,1092,1102,1112,1121,1124,1130,1144,1154,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,31,35,44,59,64,76,84,86,95,106,117,123,133,144,150,157,168,177,316,320,330,341,348,360,365,377,380,393,395,408,418,425,429,441,599,604,617,618,628,636,644,658,665,675,680,692,703,710,714,723,729,744,753,762,764,779,783,791,804,809,821,825,835,844,850,864,868,881,888,897,903,915,921,928,941,944,951,962,976,978,993,1002,1008,1011,1027,1032,1042,1046,1057,1063,1072,1079,1091,1099,1109,1120,1124,1137,1142,1154,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,31,40,42,56,63,69,80,88,95,104,112,123,135,141,152,159,164,175,317,321,328,343,352,355,367,376,381,390,403,405,416,424,431,441,468,607,612,624,634,640,646,652,664,670,682,687,698,704,713,723,736,743,754,758,769,774,784,793,799,812,816,826,837,841,855,858,872,882,883,896,901,915,918,927,937,948,953,959,972,983,990,999,1008,1014,1020,1030,1040,1051,1054,1067,1071,1080,1095,1100,1105,1113,1122,1130,1142,1152,1161,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,25,36,49,55,66,73,77,90,99,109,113,125,129,139,151,159,168,171,315,321,330,338,349,352,362,371,386,389,402,409,418,426,429,440,598,605,611,623,633,641,643,655,661,675,677,692,696,711,717,722,730,739,751,758,763,772,787,792,802,810,816,825,839,842,856,865,870,878,890,895,908,914,922,931,941,943,957,966,976,977,985,994,1003,1017,1023,1034,1037,1048,1057,1067,1077,1086,1091,1102,1109,1120,1122,1136,1144,1150,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,27,38,47,51,62,75,84,91,101,107,117,126,135,140,151,159,162,175,317,322,334,341,348,353,367,372,382,392,397,407,418,426,433,442,598,607,615,625,626,643,649,659,667,670,683,692,700,711,714,725,730,744,750,756,768,778,781,793,804,811,817,831,832,840,852,863,868,882,890,896,902,913,923,932,942,946,959,966,970,980,993,995,1007,1011,1027,1032,1043,1047,1056,1064,1071,1079,1088,1096,1109,1119,1130,1133,1139,1152,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,29,35,47,53,62,68,80,86,97,104,114,120,134,141,148,157,165,172,316,319,331,337,351,354,363,377,380,387,395,409,412,421,433,443,455,603,612,623,631,640,651,659,665,669,678,691,698,710,714,722,735,740,746,754,767,777,784,791,804,814,821,829,832,846,850,859,869,878,882,893,902,908,925,927,941,944,955,963,975,982,985,996,1005,1014,1021,1029,1038,1050,1053,1065,1072,1081,1088,1098,1113,1115,1129,1130,1141,1148,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,23,27,34,48,53,61,70,84,85,98,107,112,122,128,136,147,156,165,171,317,324,327,342,351,352,362,377,381,391,402,405,419,421,432,441,596,608,610,622,629,639,647,660,666,675,679,691,695,707,719,724,731,742,750,760,771,779,784,797,803,813,819,829,836,841,852,859,870,877,888,892,902,911,922,931,941,949,954,962,971,983,992,998,1007,1014,1024,1035,1036,1050,1060,1066,1077,1085,1095,1103,1106,1118,1122,1138,1147,1153,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,25,29,34,44,56,64,76,79,90,94,108,116,123,129,141,146,157,167,174,318,320,334,343,345,354,364,376,378,394,401,410,416,423,432,440,597,602,613,623,628,642,651,654,661,676,681,688,699,707,716,721,735,738,751,761,768,777,780,791,802,812,817,828,840,845,854,860,869,878,887,895,900,909,924,932,934,948,955,965,972,978,988,999,1006,1017,1025,1028,1043,1050,1057,1067,1072,1085,1090,1100,1105,1114,1127,1137,1140,1148,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,25,30,34,49,59,67,70,82,86,93,109,111,120,130,137,149,156,169,171,313,321,329,336,352,360,361,372,383,394,403,411,413,424,435,443,598,604,612,625,627,637,650,658,667,675,681,687,702,710,716,723,732,741,746,758,763,774,786,792,797,808,814,830,833,847,849,860,874,879,887,895,900,915,917,933,934,943,955,964,971,980,990,997,1010,1011,1024,1035,1038,1045,1057,1062,1076,1079,1088,1103,1110,1115,1127,1130,1142,1151,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,23,28,41,45,57,60,71,79,88,99,107,111,125,133,142,152,161,164,176,315,320,332,339,349,355,367,375,378,389,395,409,413,428,436,441,465,608,609,619,631,636,645,653,664,677,683,694,698,704,711,721,736,739,746,761,771,773,784,791,800,807,822,825,839,840,855,858,868,878,889,897,907,913,920,926,940,949,958,966,974,977,987,1000,1009,1014,1026,1035,1041,1047,1060,1069,1077,1082,1090,1099,1112,1120,1125,1137,1143,1152,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,29,40,48,57,64,74,79,88,100,104,117,120,136,143,151,158,168,177,315,320,330,338,345,358,366,370,381,392,397,408,414,424,435,444,596,608,611,623,633,637,645,653,663,677,681,693,700,710,720,723,732,738,752,758,765,778,788,790,805,811,819,828,838,842,856,858,872,877,883,898,907,915,922,925,934,943,952,964,968,984,990,1000,1003,1011,1022,1036,1039,1048,1057,1066,1078,1086,1092,1104,1110,1114,1129,1138,1146,1150,1157,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,25,29,39,43,56,61,73,81,91,98,106,114,120,135,142,152,157,168,174,191,324,329,338,344,359,365,372,380,387,401,404,417,426,431,442,453,606,617,624,634,638,646,659,661,670,684,689,697,707,715,722,734,741,753,761,765,778,785,794,802,808,818,828,839,847,849,857,867,875,889,893,907,912,916,931,934,944,956,960,973,981,988,1000,1004,1017,1026,1029,1044,1050,1061,1062,1075,1082,1088,1103,1108,1118,1126,1138,1146,1155,1161,1164,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,23,30,34,46,59,64,68,79,92,95,104,118,120,134,137,149,156,163,177,200,323,327,343,350,354,364,371,381,392,396,410,412,426,435,437,599,605,611,622,633,643,649,657,661,672,684,686,695,710,716,726,731,744,749,762,763,772,782,790,798,808,819,830,836,842,855,865,872,878,885,898,902,913,921,932,938,945,953,961,974,978,986,996,1003,1015,1025,1029,1036,1045,1058,1064,1074,1085,1092,1096,1109,1118,1128,1138,1142,1148,1161,1172,1176	1,0,1,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,20,32,38,48,54,64,76,82,89,100,108,116,124,128,140,147,155,170,174,314,318,327,339,350,353,367,369,379,390,400,407,419,424,430,441,454,601,613,622,633,641,645,655,661,669,678,694,700,704,713,725,734,744,748,758,766,775,786,794,803,813,818,826,835,845,854,862,869,877,888,895,905,914,918,933,938,950,953,962,968,979,991,995,1004,1015,1023,1029,1043,1053,1055,1065,1074,1079,1089,1096,1112,1119,1124,1137,1141,1154,1156,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,10,24,33,35,44,54,63,71,80,91,94,110,112,122,131,138,152,154,168,173,197,320,332,338,346,354,368,370,381,394,403,404,413,423,436,444,470,607,615,623,630,640,647,654,662,674,681,690,696,709,713,728,733,742,748,759,763,778,783,793,801,809,820,829,834,843,851,862,869,876,886,894,906,909,921,930,938,947,951,960,971,980,987,995,1009,1015,1022,1035,1041,1051,1059,1069,1076,1079,1095,1097,1111,1121,1123,1138,1146,1152,1163,1169,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,20,26,41,44,55,61,76,79,88,100,107,114,127,133,142,145,161,169,177,203,325,329,342,347,359,367,373,385,389,403,405,414,427,431,445,600,605,612,623,629,635,648,654,661,674,685,687,700,703,718,721,736,741,752,762,767,777,780,788,799,813,819,824,837,842,852,862,873,875,888,894,904,910,925,930,939,948,958,962,968,985,992,997,1002,1016,1025,1033,1037,1048,1060,1062,1072,1079,1090,1097,1109,1121,1125,1137,1146,1151,1157,1168,1175	0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,18,30,37,45,58,64,72,83,92,101,107,117,119,131,142,149,161,167,175,181,320,330,343,350,358,362,376,385,386,398,410,418,422,429,445,451,602,616,621,634,636,644,659,667,673,682,693,695,704,716,724,737,745,751,757,770,777,788,795,801,813,818,830,833,842,853,858,867,881,884,894,901,912,923,925,937,944,953,965,976,978,987,1000,1008,1019,1025,1031,1044,1051,1060,1064,1076,1079,1093,1097,1109,1113,1122,1131,1142,1153,1158,1165	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,23,30,36,50,55,60,68,80,86,95,107,115,126,134,140,149,161,165,170,185,322,327,335,348,355,368,376,383,394,396,408,417,425,434,440,454,604,616,619,630,637,645,655,661,669,680,692,698,705,716,722,729,744,748,754,771,777,783,797,804,806,815,822,834,840,854,860,866,874,889,894,907,908,919,928,937,945,951,964,971,980,989,1001,1002,1011,1025,1034,1041,1052,1057,1066,1071,1079,1093,1102,1107,1118,1129,1137,1146,1150,1161,1171,1174	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,9,18,29,40,44,52,62,75,78,89,97,109,115,122,135,138,147,162,164,171,179,321,330,335,347,353,363,373,379,390,396,408,416,420,429,447,598,602,613,621,630,640,644,657,667,670,683,688,702,707,714,728,736,744,750,754,765,775,783,788,801,811,818,830,838,842,850,859,866,879,890,894,904,912,919,929,939,949,954,959,969,976,991,997,1006,1014,1025,1031,1039,1049,1057,1070,1074,1080,1091,1098,1111,1115,1123,1133,1143,1154,1156,1172	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,19,31,35,43,54,60,76,84,89,97,109,118,127,131,141,152,157,162,178,316,322,328,339,348,360,366,373,385,391,396,408,413,429,437,444,598,607,614,623,628,638,649,659,662,670,678,688,702,709,715,728,731,739,753,757,767,773,787,792,805,808,818,823,838,846,852,860,870,878,883,894,899,914,921,929,941,945,954,964,971,980,992,1000,1003,1013,1024,1030,1041,1045,1053,1070,1077,1080,1090,1101,1111,1114,1122,1136,1146,1151,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,20,32,34,45,56,61,69,79,88,98,107,113,122,128,139,151,154,165,178,190,320,332,339,351,358,365,377,382,389,401,407,414,421,437,440,599,606,616,620,631,636,645,654,665,676,686,688,701,707,718,720,735,742,748,754,765,775,781,795,801,809,815,831,839,847,853,861,866,874,887,896,906,909,924,933,941,947,951,960,969,980,992,1001,1007,1013,1026,1034,1042,1045,1058,1063,1073,1084,1094,1099,1109,1117,1123,1131,1142,1151,1162,1164	1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,17,25,40,45,55,60,74,79,87,102,106,115,124,133,137,149,156,168,175,181,323,333,341,345,356,364,370,385,390,403,409,412,427,437,445,596,603,611,622,631,638,646,655,665,676,685,690,695,708,718,721,737,743,751,760,770,775,786,791,804,807,816,829,832,848,854,865,866,881,883,893,903,914,918,930,937,947,958,960,972,984,985,994,1009,1014,1022,1029,1043,1050,1054,1064,1077,1085,1087,1097,1105,1116,1127,1135,1145,1152,1160,1170,1176	1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,18,33,42,45,53,64,74,81,90,100,104,119,121,128,138,153,154,170,173,181,326,333,337,345,356,368,372,380,387,396,411,415,423,436,439,597,603,612,621,627,636,645,658,662,671,681,693,702,710,715,722,729,740,746,755,764,774,787,791,801,809,821,823,839,848,849,863,871,882,883,893,901,910,923,927,937,950,952,963,973,984,986,1000,1007,1011,1027,1036,1043,1048,1053,1070,1078,1084,1093,1097,1106,1121,1124,1132,1144,1154,1157,1171,1177	1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,25,29,38,45,54,65,71,79,86,98,106,113,123,128,138,151,156,169,173,180,326,334,336,352,360,361,374,378,387,402,411,416,420,430,440,599,603,616,620,632,636,650,657,662,676,685,694,699,704,718,724,729,744,746,760,763,777,783,791,799,807,820,827,836,842,854,863,866,877,884,893,900,910,922,930,936,947,956,965,974,979,992,995,1007,1013,1024,1031,1036,1046,1055,1066,1073,1086,1088,1099,1107,1118,1123,1134,1146,1150,1162,1166,1174	0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,11,21,31,34,44,59,67,68,81,91,96,105,116,119,132,142,151,156,166,174,186,323,334,336,352,359,362,377,385,391,398,409,413,425,430,441,451,604,610,623,631,641,644,652,661,672,681,690,697,705,716,726,735,741,754,755,767,775,782,796,805,807,822,824,832,845,853,863,872,876,887,891,905,912,921,928,935,943,958,964,975,978,987,998,1005,1014,1020,1034,1037,1053,1059,1065,1078,1080,1089,1099,1109,1115,1126,1133,1143,1148,1159,1166,1175	0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,20,34,40,48,52,63,76,82,91,94,110,113,124,129,141,152,162,167,178,180,319,334,337,349,359,361,370,385,390,401,405,416,428,430,442,599,608,616,620,632,636,649,653,663,673,681,692,697,711,714,720,732,737,752,762,763,778,784,795,805,811,815,830,834,841,851,860,872,875,889,892,903,908,924,928,937,947,957,959,974,983,989,995,1005,1016,1024,1029,1041,1049,1058,1069,1074,1079,1092,1101,1111,1121,1126,1135,1140,1151,1158,1166,1177	0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,24,28,36,50,53,64,72,84,87,100,106,116,125,134,143,151,161,170,176,316,325,334,337,345,354,365,371,384,389,395,410,419,428,430,445,598,601,611,621,631,641,647,656,666,671,685,688,700,706,719,726,733,742,749,761,766,772,787,789,802,810,815,830,839,840,851,859,870,879,884,892,907,908,921,933,936,944,952,960,974,982,992,1000,1006,1011,1020,1028,1038,1047,1055,1065,1079,1081,1088,1102,1112,1116,1129,1135,1145,1149,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,27,38,44,51,63,75,78,91,98,107,115,120,129,141,153,154,166,175,317,322,332,337,346,353,364,377,381,388,397,405,416,422,437,445,597,604,614,623,630,640,645,652,665,669,678,686,703,705,719,727,731,738,747,756,770,776,785,796,799,806,818,829,836,846,851,861,871,878,888,896,901,910,920,930,935,949,951,961,971,981,991,997,1009,1012,1025,1036,1044,1046,1057,1069,1071,1082,1095,1097,1110,1114,1122,1132,1144,1153,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,28,37,46,57,66,73,79,92,94,104,116,120,131,138,152,157,166,174,315,323,331,342,349,354,363,376,382,392,401,409,413,425,434,438,600,607,616,622,626,641,651,653,662,673,681,689,696,705,712,724,729,739,747,762,768,774,784,788,799,808,819,827,832,848,852,862,870,879,888,894,905,916,921,925,942,944,957,963,972,981,990,999,1003,1014,1027,1032,1037,1046,1060,1062,1076,1086,1088,1103,1108,1120,1128,1136,1141,1149,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,22,30,40,44,58,62,74,82,91,99,110,119,126,132,136,145,158,169,176,313,322,335,337,345,359,367,369,380,389,396,403,415,426,437,442,455,606,615,618,629,637,650,656,665,674,685,688,695,706,712,724,734,741,751,759,768,774,783,790,798,807,820,824,839,847,849,862,874,878,887,895,902,915,918,930,934,948,956,967,976,977,992,998,1004,1012,1024,1031,1044,1050,1057,1067,1077,1079,1094,1096,1109,1113,1130,1134,1139,1151,1161,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,33,34,48,55,63,76,77,91,95,104,118,122,131,144,153,159,165,175,314,325,334,343,348,360,366,376,383,389,401,410,419,429,436,440,596,602,609,618,629,639,650,658,666,669,678,692,696,708,719,725,729,738,748,762,769,779,788,797,803,813,817,829,837,844,852,858,866,878,888,893,904,914,918,931,936,950,956,962,975,979,986,1001,1006,1016,1027,1034,1036,1045,1060,1064,1074,1086,1095,1103,1105,1117,1129,1134,1141,1155,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,19,30,39,50,58,66,73,80,88,101,103,118,125,135,139,152,154,167,178,314,321,332,339,344,355,366,376,386,394,396,410,417,427,435,445,450,604,612,621,631,637,649,660,666,673,684,692,700,703,719,724,734,745,747,761,763,776,784,793,805,809,821,827,839,841,855,865,871,875,886,891,902,908,922,930,935,950,959,963,971,978,992,1000,1003,1014,1023,1031,1044,1051,1055,1064,1071,1079,1092,1098,1107,1120,1127,1132,1143,1151,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,33,34,48,51,63,69,84,86,101,110,117,123,134,141,148,157,166,178,313,323,330,337,345,359,365,377,385,392,399,406,413,421,432,441,596,602,612,618,626,640,646,657,664,673,679,693,701,711,714,727,735,744,746,760,770,774,780,796,802,814,820,823,835,848,855,857,867,875,890,896,902,911,918,925,935,944,953,965,968,979,991,997,1003,1014,1020,1036,1037,1046,1055,1063,1076,1083,1088,1097,1109,1117,1130,1137,1140,1154,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,28,34,50,52,59,76,78,89,95,104,117,126,131,138,149,161,163,175,317,325,327,340,350,360,368,375,383,392,401,412,413,423,436,441,599,604,610,625,629,639,650,654,663,670,682,689,702,709,718,724,730,740,748,759,770,775,785,792,800,813,818,824,838,840,855,862,873,880,888,898,906,915,922,926,941,943,954,962,970,980,986,996,1009,1013,1021,1035,1042,1047,1059,1062,1077,1083,1089,1098,1107,1115,1129,1130,1146,1155,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,27,42,43,54,67,70,79,86,101,108,118,121,131,139,146,158,164,177,181,319,334,335,346,352,367,373,378,392,395,411,420,423,434,443,597,609,610,625,629,637,645,653,669,677,683,686,701,703,712,723,730,742,748,755,770,774,781,795,800,814,820,829,839,846,849,863,865,878,885,895,901,912,922,933,938,949,956,960,971,977,986,1000,1005,1013,1021,1035,1039,1046,1056,1070,1077,1086,1092,1099,1111,1117,1126,1133,1146,1153,1161,1172	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,10,20,32,35,45,54,61,71,79,93,100,108,115,127,134,140,151,155,165,175,315,318,332,337,350,359,363,377,383,387,396,411,418,424,436,441,599,601,611,619,633,638,651,659,660,672,679,688,697,704,715,722,730,741,750,762,768,775,785,791,803,809,818,827,837,841,852,858,867,880,885,895,906,914,917,932,934,945,959,965,970,980,992,1002,1007,1018,1024,1029,1039,1046,1058,1064,1076,1084,1093,1099,1107,1119,1125,1133,1141,1150,1160,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,28,36,50,53,62,68,79,89,99,104,115,127,130,142,151,154,163,176,313,320,330,341,345,355,365,375,386,391,397,411,420,424,432,445,596,605,617,618,628,643,644,658,668,673,680,693,695,704,715,723,730,737,747,760,768,772,784,789,799,810,819,829,839,842,853,857,866,880,888,892,906,909,918,931,938,950,958,963,972,979,989,997,1003,1013,1019,1031,1038,1051,1059,1062,1070,1085,1095,1099,1110,1117,1124,1131,1141,1150,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,31,36,49,59,60,72,79,91,95,105,112,124,136,142,152,159,166,174,317,318,333,336,347,354,362,375,383,390,396,407,415,428,429,439,463,602,616,620,634,643,648,653,662,677,683,691,696,707,717,727,736,737,747,756,764,777,788,797,803,813,816,831,836,846,856,859,873,874,886,892,906,911,924,927,936,947,951,960,971,977,987,998,1002,1013,1026,1032,1038,1045,1061,1067,1074,1081,1094,1101,1111,1116,1130,1138,1147,1148,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,32,40,47,55,67,76,80,93,94,104,118,122,132,141,152,155,170,178,313,322,330,339,349,358,366,377,383,392,398,405,418,422,431,444,596,605,615,621,630,637,645,655,668,670,678,691,701,710,713,728,736,738,752,762,764,774,782,789,799,806,815,822,833,845,850,863,873,879,888,896,900,909,918,932,942,946,952,963,971,984,990,997,1004,1014,1021,1031,1039,1052,1054,1065,1077,1084,1090,1102,1104,1120,1123,1138,1140,1149,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,24,28,37,44,52,63,68,81,86,101,104,118,125,134,139,148,154,165,176,180,322,328,343,349,357,361,375,382,393,400,409,420,428,437,445,597,607,611,622,627,642,645,652,661,673,682,690,697,708,717,720,735,738,752,758,764,778,783,792,803,809,817,827,835,844,853,858,866,876,886,893,903,913,918,931,936,948,951,966,976,983,987,1001,1004,1017,1026,1028,1040,1051,1059,1063,1076,1081,1095,1101,1109,1116,1125,1133,1142,1147,1159,1168	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,22,28,35,43,58,64,73,77,89,97,106,115,121,132,138,146,156,165,179,313,324,330,343,351,356,369,376,379,390,400,408,415,425,430,443,599,601,616,620,634,642,644,652,661,676,681,690,697,703,714,724,729,738,748,758,763,774,781,794,801,808,819,827,831,840,853,863,866,879,885,896,899,916,920,933,941,949,951,965,969,981,986,997,1003,1014,1027,1033,1044,1046,1060,1069,1072,1079,1092,1099,1111,1116,1125,1133,1141,1155,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,33,34,48,58,65,73,77,90,96,104,114,123,129,138,150,157,165,173,313,320,326,336,344,357,363,375,382,392,396,409,414,424,436,438,463,602,613,621,633,639,643,657,662,674,683,690,696,707,720,726,732,740,747,760,765,773,783,794,797,809,820,823,831,845,852,860,871,877,883,895,900,915,925,931,937,950,954,962,973,980,988,1000,1006,1013,1022,1031,1039,1045,1061,1068,1074,1081,1091,1104,1109,1118,1129,1131,1146,1149,1160,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,26,38,51,55,65,74,84,90,100,107,114,122,135,139,148,156,163,177,315,325,328,341,351,358,364,371,384,390,397,411,412,428,429,444,458,605,610,621,634,642,646,654,664,671,683,690,702,711,713,728,736,745,752,761,768,773,786,788,803,808,818,827,834,841,849,863,874,875,885,897,903,915,923,931,942,945,951,960,975,981,993,995,1002,1015,1021,1029,1044,1047,1056,1064,1075,1085,1093,1097,1105,1120,1124,1135,1144,1154,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,33,39,48,59,63,69,82,91,102,108,119,123,130,138,147,154,167,173,316,323,333,340,348,360,368,377,381,389,399,410,419,428,432,444,600,603,617,621,629,640,649,657,665,670,682,693,702,709,719,723,732,742,751,762,768,778,780,788,803,806,821,826,836,843,856,857,871,877,883,897,901,915,922,931,941,945,957,961,974,983,986,996,1009,1017,1026,1030,1040,1050,1061,1064,1075,1083,1092,1102,1108,1120,1123,1135,1142,1148,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,30,38,42,51,62,69,83,91,102,105,114,127,133,144,148,159,168,178,318,323,331,341,350,358,361,372,383,386,401,409,420,427,434,445,451,608,616,621,629,637,645,658,663,677,683,694,696,703,717,726,730,745,753,761,768,772,785,789,802,805,818,823,838,844,850,858,869,878,884,893,902,916,921,933,939,945,959,962,968,980,991,998,1006,1010,1020,1033,1038,1050,1058,1063,1076,1087,1092,1102,1106,1121,1125,1137,1146,1149,1160,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,20,33,41,47,53,62,74,79,93,101,103,111,121,130,140,151,154,166,171,316,325,328,338,351,359,361,372,383,393,402,405,420,422,429,443,455,606,611,622,629,642,647,658,668,669,685,689,701,709,714,724,729,743,752,759,770,772,783,790,805,812,822,825,832,847,852,858,872,878,887,891,905,914,924,933,942,947,952,967,969,977,992,994,1008,1017,1026,1034,1038,1047,1056,1070,1072,1080,1089,1099,1105,1114,1126,1132,1142,1155,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,31,36,44,59,63,72,85,86,94,110,115,125,133,145,148,155,163,171,314,322,329,343,349,353,366,370,378,394,396,406,418,425,430,438,599,603,609,623,630,637,644,654,661,671,685,687,697,707,717,723,734,739,748,762,765,774,780,794,802,807,821,827,839,846,855,863,867,881,883,895,901,914,921,926,934,944,957,966,970,982,985,1000,1009,1015,1026,1033,1038,1051,1060,1068,1071,1082,1088,1101,1111,1117,1125,1132,1145,1155,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,23,31,37,47,54,62,72,79,86,95,104,117,127,134,144,147,155,168,178,314,326,328,341,350,360,361,375,381,388,398,406,416,428,436,445,449,603,610,626,629,643,648,654,667,670,681,689,697,704,717,722,734,744,747,759,768,778,786,796,803,812,818,825,836,845,849,865,873,875,886,897,907,913,918,933,939,949,953,965,973,979,990,997,1005,1013,1023,1028,1042,1047,1054,1069,1074,1086,1092,1100,1106,1114,1130,1137,1142,1151,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,30,42,45,58,66,76,82,85,96,108,115,121,136,137,148,155,165,178,316,318,328,337,352,357,366,373,382,389,398,403,412,423,429,444,467,605,616,623,633,639,648,655,669,670,681,690,696,710,716,722,736,740,753,759,770,775,785,790,801,811,816,824,833,844,857,861,871,876,883,899,902,908,921,925,938,950,959,961,968,978,985,1000,1008,1012,1023,1036,1039,1053,1058,1067,1075,1084,1091,1104,1112,1114,1127,1136,1139,1155,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,28,38,42,56,61,68,81,91,98,110,112,120,132,145,147,155,170,174,316,318,333,339,343,355,364,373,381,388,401,403,417,421,431,443,456,600,610,619,628,639,648,658,664,677,678,690,698,705,717,726,734,741,746,762,766,775,785,797,798,814,820,830,833,846,853,865,869,876,889,895,900,914,922,927,938,949,959,966,971,979,987,1001,1004,1012,1021,1028,1043,1052,1059,1069,1074,1086,1094,1098,1109,1116,1128,1136,1139,1151,1158,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,31,42,44,58,66,71,82,87,94,105,116,120,135,137,148,159,163,179,313,325,331,339,343,358,369,375,378,391,399,408,418,428,437,446,461,604,609,618,627,638,646,656,665,674,681,692,701,707,719,725,729,738,752,757,765,776,785,796,805,814,819,829,837,848,849,861,872,878,888,895,903,915,923,933,941,948,954,960,973,979,987,1001,1008,1017,1027,1033,1042,1052,1057,1069,1077,1081,1092,1098,1111,1115,1125,1133,1145,1155,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,32,35,48,55,63,68,82,89,97,103,112,120,136,144,151,155,168,171,314,319,334,338,348,354,364,375,382,391,402,410,417,428,433,445,597,603,612,621,629,637,647,655,666,672,677,689,696,706,716,728,735,740,754,756,765,779,784,790,797,811,820,823,834,842,854,863,866,881,890,892,906,915,919,927,936,950,954,968,973,983,988,1000,1007,1010,1026,1030,1038,1051,1055,1065,1074,1081,1088,1099,1110,1114,1122,1130,1145,1152,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,31,39,50,56,62,74,77,90,94,102,115,125,134,140,149,156,163,179,185,323,327,338,349,358,362,373,383,387,399,405,412,423,435,439,452,604,609,625,633,641,647,654,666,669,679,692,694,710,712,725,735,738,746,759,769,774,786,791,798,810,820,824,831,846,849,857,869,879,886,898,902,914,922,929,942,950,958,965,972,981,992,996,1006,1015,1020,1034,1039,1047,1057,1063,1071,1082,1094,1097,1111,1119,1124,1135,1143,1148,1164,1166,1176	1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,19,26,38,43,56,63,70,78,85,96,107,114,120,128,137,145,155,162,179,180,319,329,342,349,360,364,372,385,388,398,408,419,423,436,441,596,605,614,620,633,637,644,655,664,676,683,686,703,708,719,726,731,743,747,762,769,779,781,793,799,806,821,823,837,842,855,864,870,882,885,895,900,913,917,932,941,948,952,965,976,984,988,1001,1006,1017,1021,1029,1043,1051,1055,1062,1070,1085,1093,1102,1106,1121,1128,1132,1141,1151,1160,1169,1176	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,25,31,35,47,52,65,72,77,86,100,103,111,119,131,144,147,154,167,177,317,320,331,336,350,357,366,371,382,394,399,406,416,423,435,440,598,602,613,625,630,641,651,659,668,670,686,691,696,707,718,724,736,742,749,754,764,778,782,792,797,811,819,828,838,840,849,860,869,876,883,891,906,912,920,933,935,947,955,960,975,984,990,1001,1003,1018,1023,1030,1037,1046,1053,1065,1073,1082,1090,1103,1108,1115,1127,1133,1139,1147,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,19,29,41,45,51,66,73,79,88,94,102,111,121,132,140,150,159,163,173,185,325,335,340,350,354,365,373,380,392,396,403,420,425,435,439,596,601,617,626,634,637,645,655,661,675,680,690,698,706,716,727,733,743,749,757,766,775,787,789,799,806,819,830,832,844,856,863,869,880,887,895,904,909,917,930,939,950,953,961,976,981,989,1000,1002,1017,1023,1035,1041,1048,1060,1062,1076,1086,1089,1100,1110,1114,1123,1138,1140,1149,1161,1166,1173	0,1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,17,26,40,45,56,64,69,82,92,102,108,117,120,134,141,147,159,165,171,181,324,326,336,349,353,364,374,383,393,397,407,419,424,432,438,456,604,614,622,628,637,649,657,665,670,683,692,695,710,712,721,736,743,748,756,764,774,786,793,797,810,821,826,836,840,852,857,870,879,891,893,907,915,924,926,937,946,957,967,969,978,992,994,1005,1012,1024,1029,1036,1053,1056,1064,1071,1083,1093,1103,1110,1115,1128,1134,1142,1151,1162,1166	1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,19,27,35,43,59,63,69,78,90,97,104,119,123,129,141,153,159,170,179,182,326,328,337,348,358,366,375,384,388,396,408,418,427,431,438,596,607,612,624,633,641,643,658,662,673,679,691,698,706,719,728,735,745,752,761,770,773,786,790,801,806,821,828,832,847,856,860,865,879,883,892,901,912,921,930,939,949,951,960,976,978,989,1000,1003,1018,1025,1029,1042,1050,1061,1065,1078,1082,1092,1100,1110,1114,1126,1135,1142,1150,1161,1171,1177	1,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,13,19,33,41,44,56,62,72,79,93,98,105,111,121,130,143,148,160,169,171,191,322,334,335,348,359,361,373,379,392,397,404,413,424,429,444,457,604,609,623,632,637,650,660,667,677,679,688,701,708,714,725,734,744,751,762,765,773,784,796,799,810,815,823,836,848,854,858,870,879,882,894,904,910,922,928,939,946,957,965,973,977,985,997,1002,1014,1024,1035,1043,1048,1053,1065,1071,1084,1095,1097,1105,1121,1126,1133,1143,1154,1157,1169	1,0,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,33,41,44,51,67,72,77,87,99,110,112,125,134,142,147,158,165,176,186,324,330,341,351,358,367,370,381,386,395,409,416,421,436,444,598,609,614,621,634,635,647,652,668,671,684,690,703,706,714,728,731,743,752,757,764,774,782,789,805,807,820,828,831,840,851,865,869,877,887,892,902,915,921,933,935,946,956,964,971,979,993,1001,1003,1014,1022,1029,1040,1046,1060,1069,1075,1080,1092,1096,1112,1119,1129,1136,1146,1147,1159,1166,1177	0,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,16,17,33,34,48,54,62,71,79,92,95,107,116,124,134,138,153,158,166,175,317,322,329,342,344,356,361,373,383,394,395,406,415,424,437,445,599,608,613,623,629,640,646,656,667,675,683,691,697,707,715,725,733,744,746,760,769,778,786,793,801,809,820,828,838,843,854,863,867,874,886,899,907,911,923,929,937,947,953,961,976,984,988,1000,1009,1012,1026,1033,1040,1052,1057,1063,1071,1082,1095,1103,1106,1113,1128,1136,1147,1152,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,21,28,36,43,55,66,71,81,92,102,106,116,122,133,137,148,160,165,174,317,319,328,335,347,354,369,370,379,388,403,409,414,422,437,441,596,607,616,619,632,635,651,655,663,674,680,688,698,708,720,722,732,739,752,756,763,773,785,793,804,811,822,826,838,847,855,861,868,879,885,891,905,915,920,930,942,949,957,960,973,984,989,1001,1005,1013,1026,1030,1043,1046,1061,1065,1070,1080,1092,1102,1112,1118,1124,1133,1141,1154,1160,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,24,29,41,50,57,67,75,85,90,102,109,114,122,129,144,150,160,164,174,182,318,330,343,347,356,366,370,383,387,396,406,418,426,433,444,468,601,610,619,632,639,650,655,667,671,679,687,698,711,720,722,735,743,748,756,764,773,787,796,804,808,820,826,839,842,855,861,869,881,886,894,904,912,920,925,934,948,953,962,970,983,991,994,1004,1015,1022,1028,1039,1049,1056,1065,1072,1086,1090,1099,1107,1119,1126,1134,1139,1149,1157,1166	1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,10,17,29,39,45,51,61,75,82,86,94,103,112,127,134,140,153,161,169,176,314,325,334,340,349,354,368,370,386,392,397,410,413,426,430,439,600,608,614,624,631,636,647,656,660,672,678,690,701,703,718,727,735,737,749,762,766,776,782,791,804,814,815,825,837,843,853,863,873,882,887,894,902,913,922,933,939,948,954,961,971,982,990,1000,1008,1017,1027,1028,1038,1052,1055,1062,1073,1082,1094,1096,1110,1114,1125,1136,1140,1155,1157,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,14,19,33,40,46,54,63,75,82,90,102,105,114,126,130,144,148,154,169,177,182,323,333,338,345,358,369,371,385,393,395,409,416,427,432,442,459,608,616,619,627,643,644,659,666,676,683,690,700,706,717,723,730,738,748,759,766,773,781,793,799,809,815,828,837,841,852,863,866,882,883,896,904,912,923,927,937,945,958,960,968,984,992,995,1004,1017,1025,1034,1044,1045,1057,1063,1078,1080,1089,1103,1105,1117,1125,1137,1143,1153,1161,1165,1173	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,23,25,42,45,54,65,68,79,90,97,102,115,122,129,138,148,157,168,172,314,326,333,342,346,360,368,377,385,389,402,409,414,421,432,445,598,608,612,623,632,635,648,659,665,677,679,691,700,710,719,728,735,743,746,757,766,777,780,791,798,812,822,828,833,847,856,862,872,877,886,896,907,910,923,926,936,949,953,967,974,979,987,998,1002,1012,1027,1031,1041,1047,1056,1066,1070,1079,1088,1097,1109,1121,1123,1131,1143,1149,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0
0,14,19,25,38,47,55,63,73,79,90,97,103,116,120,129,145,153,154,167,175,179,319,332,339,352,357,361,371,378,393,399,405,418,420,432,439,600,608,614,621,633,639,646,660,662,673,679,690,697,704,716,725,737,744,751,755,770,777,780,795,803,807,816,827,839,840,853,863,869,877,889,899,900,915,924,932,938,949,952,962,971,977,988,1000,1002,1017,1024,1033,1042,1046,1056,1068,1075,1080,1088,1100,1108,1115,1128,1136,1140,1154,1160,1169	0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,25,26,38,45,53,60,68,84,92,102,108,111,127,129,138,149,161,167,175,316,326,330,342,348,359,361,374,384,388,402,409,415,429,436,446,597,602,616,623,628,643,647,658,666,670,679,692,701,708,715,722,736,745,754,756,763,775,783,796,802,811,815,827,832,845,853,858,870,878,883,891,902,913,918,930,941,950,952,964,976,978,986,997,1010,1014,1022,1036,1040,1045,1053,1069,1075,1081,1089,1104,1110,1117,1124,1135,1143,1150,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,24,29,38,50,54,65,74,80,91,97,104,114,124,134,137,151,160,162,174,315,325,332,339,352,359,365,371,379,388,396,412,416,423,436,442,469,603,611,626,628,638,651,655,667,675,685,688,700,708,715,725,729,742,747,758,765,772,783,795,805,810,817,828,837,844,854,859,871,875,884,893,906,916,921,932,936,950,959,962,969,977,988,994,1004,1014,1021,1027,1040,1045,1061,1068,1075,1082,1093,1098,1111,1119,1128,1135,1145,1155,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,17,34,37,50,58,61,69,80,92,97,108,113,121,128,142,151,157,170,174,315,323,328,340,346,356,364,371,381,386,399,407,419,421,434,440,596,603,615,623,635,638,645,660,662,672,685,692,699,706,715,722,730,739,749,761,768,777,782,795,798,809,819,828,832,840,854,865,872,875,891,894,903,912,917,926,937,946,954,967,976,977,986,996,1007,1016,1020,1035,1041,1047,1060,1068,1071,1086,1088,1098,1112,1118,1124,1137,1141,1152,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,23,26,38,50,51,64,69,81,92,98,105,112,126,130,143,147,157,168,174,314,318,329,339,348,354,364,376,379,392,399,405,415,424,430,441,597,609,610,620,630,637,647,652,662,675,684,693,697,705,716,723,732,745,751,759,763,778,781,788,798,812,819,828,837,842,855,862,868,875,883,898,904,916,918,931,938,950,956,965,969,980,990,998,1003,1011,1022,1031,1037,1048,1056,1069,1071,1083,1094,1103,1111,1120,1129,1134,1142,1149,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,27,37,46,57,61,76,81,88,100,108,114,124,128,144,146,157,170,174,313,322,330,337,344,360,362,372,383,392,395,407,417,421,436,442,598,603,614,619,628,640,649,660,661,672,683,694,700,705,719,727,736,741,749,762,766,772,785,788,797,812,814,825,835,840,855,865,868,875,883,894,899,916,922,931,940,945,952,965,969,978,991,995,1008,1018,1020,1030,1041,1053,1055,1068,1079,1081,1093,1102,1107,1116,1125,1135,1139,1148,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,28,36,50,53,62,70,82,87,100,110,113,120,130,143,148,158,170,174,317,318,327,337,344,360,365,375,385,390,400,408,417,422,433,442,463,606,613,625,631,639,649,654,661,675,682,693,697,704,720,728,735,739,753,756,764,776,786,791,802,812,816,831,839,846,856,861,870,881,886,891,902,913,923,931,938,944,953,964,972,982,988,998,1006,1017,1025,1032,1037,1053,1060,1064,1074,1082,1096,1098,1108,1115,1127,1131,1145,1149,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,24,30,40,49,56,64,70,84,93,95,107,116,120,130,140,147,159,170,175,318,326,332,342,344,357,369,377,386,390,397,405,419,424,435,444,596,605,616,620,632,640,650,657,669,676,682,693,696,710,714,721,736,742,746,757,765,774,786,792,801,808,820,829,833,841,851,857,866,876,883,897,907,913,923,928,942,944,953,961,972,977,989,998,1002,1018,1021,1028,1044,1053,1054,1068,1072,1086,1094,1100,1107,1115,1128,1138,1139,1148,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,28,34,51,54,66,70,78,90,95,108,112,120,129,144,152,159,164,178,316,318,332,343,344,354,362,371,380,389,401,408,417,423,432,444,598,601,615,620,631,636,645,652,661,672,682,694,700,705,715,726,733,744,751,756,767,773,786,796,804,814,819,830,834,843,853,863,868,880,883,894,902,910,924,929,937,944,959,960,972,978,990,998,1003,1013,1021,1035,1041,1051,1057,1062,1074,1085,1090,1104,1108,1116,1130,1132,1144,1151,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,33,36,45,52,68,70,80,89,101,109,111,126,129,144,149,158,168,170,180,319,334,337,343,360,368,371,383,392,396,408,413,422,431,440,600,606,617,619,632,637,651,652,664,669,678,690,699,705,715,725,735,740,752,759,771,778,786,794,804,809,819,823,833,846,855,860,871,876,887,894,902,909,919,929,936,944,955,967,970,977,990,996,1008,1015,1021,1034,1040,1050,1059,1068,1073,1086,1090,1102,1111,1121,1124,1132,1146,1149,1158,1168,1174	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,18,32,35,51,57,61,72,82,90,96,102,114,127,133,141,145,159,165,173,313,321,327,336,350,358,368,373,378,389,395,409,412,428,437,439,598,603,616,620,630,637,646,655,666,669,682,692,697,703,720,724,730,737,746,758,765,778,782,790,805,813,816,825,837,847,852,858,867,878,889,896,903,913,925,928,937,944,959,964,971,983,986,995,1008,1012,1027,1032,1038,1046,1056,1066,1077,1079,1093,1103,1106,1116,1127,1136,1143,1148,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,18,30,39,45,52,65,76,81,85,98,110,115,126,131,144,151,160,169,170,313,322,331,340,351,354,363,373,381,394,402,411,412,429,434,438,454,603,616,621,634,643,647,654,666,677,680,689,699,705,718,721,737,741,754,759,767,775,786,793,802,813,815,828,835,840,848,861,866,879,891,893,904,909,923,929,939,943,959,966,972,983,989,1000,1006,1012,1019,1032,1039,1045,1054,1062,1076,1085,1092,1098,1110,1118,1122,1134,1145,1150,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,24,34,42,50,56,60,73,83,93,101,103,112,122,130,142,149,157,169,176,316,326,327,337,350,355,367,370,385,394,395,403,417,423,436,440,459,605,617,620,629,642,645,653,668,673,681,690,695,708,720,726,733,738,751,756,766,776,788,790,800,807,820,827,835,845,848,863,872,882,889,892,900,914,923,926,939,946,952,962,971,978,987,995,1004,1011,1022,1030,1038,1050,1054,1069,1073,1085,1091,1098,1108,1114,1129,1132,1144,1149,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,33,35,49,56,64,69,81,92,96,106,114,123,135,142,148,160,168,174,315,326,331,337,347,356,365,376,380,390,396,410,418,422,430,444,454,603,615,619,627,641,646,658,662,676,685,692,702,707,715,721,729,744,749,762,767,772,787,791,799,810,818,826,837,843,849,861,870,877,884,892,903,916,919,928,939,944,952,963,974,982,986,1000,1006,1015,1027,1031,1041,1049,1055,1067,1074,1083,1093,1100,1106,1113,1129,1137,1141,1149,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,17,28,36,45,58,62,73,78,87,95,107,115,119,131,138,148,155,163,177,182,326,328,343,348,357,361,370,380,388,399,407,419,428,433,445,459,604,614,626,630,641,651,654,668,675,684,688,702,709,719,721,729,744,751,763,767,773,786,794,805,812,819,828,832,844,849,862,874,878,883,897,900,910,918,928,936,949,956,967,976,983,990,1000,1006,1016,1020,1034,1038,1051,1056,1067,1071,1083,1090,1104,1107,1118,1130,1131,1139,1149,1161,1165,1176	1,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
1,12,23,26,40,46,55,63,74,78,88,98,104,111,120,136,142,149,162,169,172,315,325,333,341,349,356,361,374,379,386,403,411,417,420,434,443,598,605,611,621,632,636,650,660,667,673,683,688,699,705,715,725,733,745,746,755,767,777,783,789,798,810,817,830,837,844,850,858,869,881,885,893,907,912,918,927,935,950,955,965,974,982,988,997,1010,1017,1024,1033,1040,1046,1059,1068,1074,1085,1094,1103,1104,1119,1127,1131,1145,1153,1158,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,22,26,37,47,58,65,76,77,89,96,109,111,126,130,137,151,157,169,174,316,321,333,338,349,355,363,373,385,392,400,406,417,423,437,439,600,606,615,624,629,635,646,659,661,669,681,689,700,708,719,728,736,743,746,763,768,778,785,795,800,812,820,829,836,845,851,858,867,874,889,891,907,916,918,928,936,950,953,960,968,983,991,994,1007,1012,1022,1028,1041,1047,1057,1063,1071,1080,1091,1102,1111,1116,1124,1138,1145,1150,1163,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,30,42,50,51,60,71,83,88,100,106,114,122,133,138,152,155,169,173,316,324,327,335,344,360,367,376,380,389,398,404,412,428,437,441,466,607,614,622,630,637,645,659,668,672,679,689,698,704,714,726,732,740,748,760,767,778,781,795,797,808,822,829,834,842,852,858,868,879,883,894,901,913,921,930,938,944,955,967,974,980,991,998,1003,1014,1024,1033,1044,1050,1057,1066,1071,1082,1093,1099,1106,1120,1128,1133,1143,1150,1158,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,18,30,37,46,51,66,72,81,88,95,105,115,120,132,140,147,159,168,177,314,322,331,342,349,359,361,369,384,392,403,404,412,427,431,440,448,607,612,618,630,637,649,659,669,672,685,689,698,711,715,725,737,743,748,762,764,778,781,791,798,810,814,825,839,845,852,857,869,874,886,895,904,909,922,929,938,947,952,966,975,977,986,998,1007,1013,1023,1030,1036,1048,1059,1068,1074,1085,1090,1104,1109,1117,1123,1132,1147,1149,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,27,40,43,54,61,71,84,87,101,104,113,125,130,143,145,154,165,172,317,324,328,338,347,353,366,375,380,392,398,408,416,420,433,446,596,605,616,619,634,642,650,658,661,672,681,693,702,709,712,723,735,737,748,756,768,780,784,791,803,813,815,825,838,842,849,863,867,881,886,896,900,910,922,927,941,943,954,962,969,983,986,993,1008,1017,1025,1031,1042,1050,1056,1064,1075,1087,1094,1098,1105,1118,1129,1134,1140,1155,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,30,37,45,54,63,75,78,87,101,109,116,127,130,140,153,160,164,175,315,324,334,337,351,358,369,372,382,387,401,407,417,424,435,442,597,605,609,620,634,641,647,660,661,677,683,690,702,706,718,728,732,740,748,758,764,773,782,794,803,813,818,829,832,844,849,859,871,879,883,892,903,908,918,929,938,942,956,968,975,981,987,998,1004,1015,1021,1034,1044,1050,1053,1066,1075,1084,1088,1102,1113,1115,1123,1138,1140,1152,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,32,37,42,56,65,73,83,90,101,104,117,122,135,141,146,157,167,178,317,319,331,343,352,360,366,372,378,387,397,410,413,424,434,441,597,605,611,621,627,637,645,658,665,672,685,691,700,708,715,723,733,745,753,756,764,772,787,797,805,808,816,827,837,846,850,861,870,874,884,894,901,912,924,927,936,943,954,967,968,984,990,994,1002,1013,1022,1029,1044,1051,1056,1069,1070,1085,1091,1099,1107,1117,1129,1132,1145,1149,1156,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,17,27,37,45,58,65,73,79,93,98,109,114,124,134,141,149,153,167,177,316,325,329,342,351,356,367,374,386,389,401,403,418,425,434,444,599,605,611,625,631,637,649,657,669,670,681,693,698,704,714,725,729,739,748,760,763,778,780,793,799,812,822,825,831,840,856,862,866,880,889,891,905,912,917,927,940,943,956,967,975,979,985,999,1007,1017,1020,1028,1039,1047,1061,1065,1074,1083,1093,1101,1113,1116,1124,1136,1142,1153,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,27,38,49,56,66,69,79,93,97,109,114,123,129,140,148,159,162,173,314,323,334,338,345,353,366,373,382,389,402,409,413,423,429,442,471,602,613,619,633,635,646,653,668,671,681,689,700,711,720,721,736,738,754,761,767,778,785,793,799,806,820,824,836,846,855,857,870,880,888,891,901,908,920,930,934,945,959,967,975,976,989,994,1005,1018,1021,1030,1036,1051,1054,1066,1071,1083,1092,1097,1108,1115,1123,1136,1142,1152,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,34,39,43,59,63,71,84,91,99,108,117,119,130,138,153,159,165,176,313,325,331,337,351,360,368,377,380,393,398,404,417,428,433,447,466,605,614,625,632,639,644,655,661,674,683,688,699,711,719,727,737,738,752,760,765,773,781,794,804,813,814,823,835,843,856,862,868,880,890,898,899,910,921,932,937,945,957,963,969,981,989,1001,1003,1015,1021,1028,1036,1052,1054,1069,1070,1087,1091,1100,1106,1115,1127,1132,1146,1150,1162,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,30,40,47,55,68,70,78,93,101,106,112,126,131,144,146,155,168,173,315,324,328,336,348,360,364,374,385,392,403,407,413,422,435,441,597,603,614,621,629,636,651,655,662,671,685,691,695,711,718,724,734,739,753,757,770,778,780,794,801,810,821,828,834,843,849,865,869,881,887,894,904,910,919,932,942,945,959,965,970,978,992,996,1004,1014,1026,1033,1037,1050,1057,1067,1076,1081,1092,1101,1111,1116,1128,1138,1144,1149,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,24,27,42,49,56,62,69,78,85,96,109,116,125,128,138,151,160,163,177,315,326,332,335,351,357,363,377,385,387,395,405,412,421,437,438,598,601,612,624,634,638,646,658,665,675,680,692,695,709,713,728,736,742,751,759,770,777,787,790,800,814,819,827,837,845,855,864,866,874,888,891,907,916,925,930,936,943,955,960,972,976,992,998,1009,1011,1019,1033,1041,1047,1055,1069,1078,1080,1088,1101,1106,1113,1126,1133,1142,1152,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,25,39,44,54,64,73,79,91,98,107,117,124,134,141,152,159,162,175,180,323,328,337,350,353,362,373,384,394,402,411,419,426,431,443,463,602,614,620,633,636,649,660,663,672,683,688,695,706,719,727,735,737,752,755,765,771,786,789,805,811,819,823,835,845,854,857,866,877,886,892,907,914,924,929,940,946,954,959,968,984,992,1001,1006,1018,1019,1028,1039,1048,1056,1068,1072,1084,1091,1097,1108,1119,1127,1132,1146,1147,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,25,33,40,44,55,60,71,84,90,100,107,112,120,129,136,150,156,162,176,194,324,330,338,349,354,362,375,384,390,401,409,418,423,434,440,599,608,612,624,633,639,651,652,667,676,684,687,697,704,720,727,735,743,751,756,764,774,784,797,801,808,822,823,836,842,856,861,866,875,887,898,901,912,922,930,939,949,956,960,976,983,989,994,1005,1014,1019,1034,1044,1050,1057,1066,1077,1084,1095,1103,1109,1117,1124,1137,1147,1153,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,11,17,32,38,48,52,65,74,80,88,97,103,116,121,134,144,148,155,162,173,185,323,329,336,349,360,366,370,382,393,403,405,418,426,430,439,596,603,617,618,631,639,644,655,668,672,681,693,702,711,718,724,729,737,754,760,770,777,784,791,800,806,817,830,836,841,854,860,872,880,886,895,906,908,922,930,941,943,956,965,968,977,989,999,1003,1014,1025,1033,1039,1048,1057,1064,1075,1084,1092,1102,1105,1119,1124,1133,1144,1151,1160,1164,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,11,22,32,34,45,52,59,75,81,93,97,109,116,127,128,140,149,155,164,176,192,319,331,343,347,355,368,376,385,387,398,410,415,429,436,440,596,600,609,619,627,638,651,655,663,676,681,694,697,705,717,722,729,742,754,758,770,779,785,793,804,814,821,825,832,846,856,864,865,880,882,894,908,910,917,926,934,946,956,967,970,978,990,998,1008,1018,1026,1028,1042,1045,1058,1066,1075,1084,1089,1104,1109,1113,1125,1136,1139,1148,1159,1168	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,18,30,37,44,55,66,69,77,87,97,102,117,127,130,144,152,158,169,177,190,321,331,337,352,353,361,375,386,388,395,408,414,421,434,442,597,606,610,623,634,640,650,657,662,672,685,692,699,704,717,724,731,743,749,761,766,772,787,796,804,807,814,827,837,841,850,857,873,874,890,898,902,910,919,926,939,949,957,965,974,983,991,996,1007,1015,1026,1030,1041,1047,1055,1070,1071,1080,1093,1096,1111,1115,1127,1132,1142,1149,1159,1168,1174	1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,15,17,33,36,43,58,65,70,78,92,98,110,111,126,128,142,147,157,168,173,180,322,331,338,352,357,364,370,382,394,399,408,418,421,436,441,599,602,614,619,630,642,650,653,667,677,685,688,703,706,719,724,730,738,747,758,770,777,787,792,798,810,819,824,839,843,856,859,869,875,891,898,899,914,924,926,936,949,958,961,970,979,989,997,1009,1018,1022,1028,1040,1052,1060,1063,1075,1080,1087,1096,1106,1113,1125,1130,1139,1152,1162,1168	1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
2,8,22,30,37,50,54,64,73,79,86,98,103,118,119,129,140,145,161,162,172,180,322,327,342,346,356,364,376,379,387,402,406,419,421,432,443,600,609,615,624,632,637,644,657,661,673,682,691,701,709,716,723,733,745,753,761,765,776,781,794,797,812,820,826,838,841,853,857,871,876,882,893,906,912,920,932,937,944,956,967,973,977,988,998,1003,1018,1020,1029,1042,1046,1056,1064,1078,1079,1092,1099,1107,1114,1128,1134,1145,1154,1160,1165,1174	1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
8,17,23,29,38,50,55,63,74,83,87,98,103,119,123,134,137,145,156,167,177,185,326,328,335,345,354,366,372,380,386,395,405,412,427,429,438,447,604,614,626,630,642,646,654,663,676,679,692,698,711,719,720,733,740,749,760,764,771,785,795,797,808,816,824,838,842,856,860,869,882,887,895,908,913,917,926,937,945,953,962,968,980,990,1000,1007,1016,1026,1034,1039,1050,1058,1063,1073,1081,1090,1098,1108,1118,1128,1132,1139,1148,1157,1171,1175	1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,22,27,39,46,57,59,70,85,89,94,102,118,123,131,143,153,156,169,176,314,321,331,342,349,360,367,372,386,390,395,404,413,425,437,443,597,607,616,625,627,642,644,659,664,669,679,690,699,706,713,722,731,742,746,756,766,773,786,792,801,813,815,824,838,845,853,859,869,874,884,899,904,911,922,925,942,948,951,964,972,980,991,1001,1008,1015,1023,1030,1037,1051,1058,1068,1079,1082,1092,1100,1107,1118,1124,1134,1139,1152,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,30,35,43,57,60,70,82,90,99,108,111,126,134,143,149,159,165,170,314,320,334,337,345,353,364,377,386,394,401,405,420,423,435,440,596,603,611,621,630,642,645,655,663,677,680,688,700,711,719,727,732,741,753,755,768,773,785,791,802,810,818,831,832,843,851,857,873,877,889,894,908,910,921,928,935,947,952,962,970,981,986,993,1004,1015,1020,1034,1042,1045,1057,1063,1071,1079,1090,1104,1110,1119,1124,1132,1144,1148,1163,1165	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,20,33,37,44,55,61,76,84,92,102,104,115,120,132,137,151,155,170,177,194,321,333,339,344,355,361,371,383,391,401,405,414,421,430,445,447,603,617,623,629,638,646,656,663,671,685,691,695,711,717,724,733,740,749,759,769,778,785,791,804,806,816,825,839,843,848,859,869,875,888,894,899,915,919,926,942,944,958,966,968,978,991,997,1008,1013,1020,1029,1043,1053,1056,1065,1076,1084,1087,1100,1107,1114,1129,1136,1142,1150,1163,1166	1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,22,33,38,48,51,63,74,83,91,99,107,117,126,130,140,151,156,168,177,313,319,335,339,352,358,364,377,382,386,396,408,412,428,434,441,599,608,614,620,631,640,651,656,668,675,681,688,695,706,719,727,731,743,746,759,764,775,783,789,800,808,819,823,836,840,851,861,868,875,886,896,901,909,919,929,941,949,957,968,973,985,990,1001,1009,1011,1020,1028,1042,1049,1057,1066,1073,1085,1092,1096,1109,1117,1122,1131,1144,1152,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,17,26,39,50,58,63,71,79,90,95,109,113,120,129,144,151,156,168,176,182,322,332,342,349,359,364,374,385,394,398,409,419,426,431,438,596,605,612,624,633,638,646,654,661,671,682,693,699,707,715,722,732,741,748,761,769,777,783,794,805,810,818,824,836,840,853,859,873,877,890,897,904,915,921,927,934,945,959,961,969,981,986,1000,1005,1015,1020,1031,1037,1050,1056,1068,1076,1082,1092,1099,1106,1116,1124,1134,1141,1153,1162,1169	0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,18,31,35,42,51,66,73,80,91,100,105,118,122,132,136,150,156,167,172,181,318,335,340,352,354,363,373,385,387,395,408,414,424,432,445,467,604,613,620,631,638,646,655,662,672,679,692,700,705,719,720,734,738,752,761,766,774,788,792,804,812,820,831,836,844,848,857,866,878,888,892,907,910,917,928,940,944,953,966,971,983,993,994,1009,1013,1020,1035,1038,1047,1057,1069,1076,1084,1096,1104,1111,1116,1130,1132,1144,1155,1163,1167,1176	0,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,16,24,29,38,50,56,63,72,80,90,98,104,111,127,131,139,147,155,162,172,185,325,332,342,345,352,367,377,385,390,399,408,419,423,430,439,457,609,617,621,627,637,647,657,663,675,684,692,701,704,715,728,730,739,746,758,764,775,784,796,802,811,818,827,835,845,850,858,870,875,890,895,900,911,923,929,934,950,956,967,974,981,989,997,1005,1016,1025,1028,1041,1052,1054,1063,1077,1087,1096,1104,1110,1115,1129,1132,1146,1148,1157,1170,1175	1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,19,26,37,48,52,60,76,85,90,94,103,118,120,136,144,153,154,162,178,314,320,330,340,347,356,367,372,385,390,402,408,419,423,433,440,462,607,613,619,628,637,646,654,662,671,681,690,700,704,714,725,732,738,752,760,769,774,786,791,802,811,818,828,836,844,852,860,866,878,884,891,902,909,917,927,937,948,953,961,972,981,990,1000,1003,1014,1023,1033,1042,1047,1060,1062,1071,1084,1090,1104,1109,1121,1124,1137,1145,1147,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,27,35,42,54,60,76,84,92,97,106,116,126,135,136,146,161,168,173,316,320,327,337,347,359,361,374,378,393,399,411,419,426,432,442,468,606,613,618,631,641,644,652,664,673,683,689,703,705,719,722,729,739,750,759,764,774,787,789,798,806,817,824,837,846,855,862,867,874,890,896,905,915,922,927,936,950,953,966,974,978,985,997,1003,1017,1022,1030,1037,1053,1059,1064,1072,1086,1090,1104,1110,1118,1126,1133,1144,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,25,32,40,51,58,64,68,81,88,102,105,116,127,132,143,147,156,169,171,315,326,334,341,351,354,363,374,378,388,399,406,414,428,429,443,598,603,617,624,634,639,648,655,662,670,678,688,696,708,711,726,736,739,752,760,767,772,784,796,800,810,821,830,831,840,849,857,869,881,887,896,901,914,920,927,935,949,952,967,970,979,992,994,1007,1014,1019,1031,1040,1051,1056,1066,1076,1081,1093,1098,1111,1114,1122,1133,1142,1152,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,24,29,39,47,53,63,76,77,85,101,108,117,127,135,137,148,155,166,175,314,326,328,340,347,355,367,377,383,387,402,407,417,427,435,439,454,605,611,622,627,639,651,655,665,673,683,694,696,704,717,720,732,741,753,762,769,775,785,791,803,810,821,825,835,843,849,862,874,880,884,891,900,913,918,933,935,944,956,962,970,980,985,995,1003,1014,1025,1029,1041,1051,1054,1064,1076,1083,1092,1104,1105,1118,1125,1135,1140,1150,1159,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,21,31,38,44,57,62,74,79,92,96,110,112,119,128,137,145,157,162,171,315,326,331,336,344,356,362,373,385,387,396,403,415,427,437,440,598,605,614,622,634,637,646,652,662,669,678,693,696,711,717,723,737,745,750,755,767,775,787,796,802,813,815,828,831,845,854,859,867,879,884,892,900,915,920,926,935,945,955,961,972,981,993,994,1006,1013,1020,1032,1039,1052,1053,1063,1071,1085,1092,1100,1113,1118,1126,1136,1142,1154,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,32,34,46,54,63,70,77,87,97,103,114,126,133,142,146,158,169,172,314,325,329,341,349,355,367,370,383,389,401,410,413,427,435,442,597,608,610,622,632,641,644,655,665,669,681,693,699,703,715,728,737,744,748,760,771,778,784,796,803,811,817,825,836,843,856,858,872,882,883,891,904,915,917,929,937,944,957,960,972,984,992,994,1005,1017,1023,1033,1036,1053,1058,1063,1072,1082,1089,1104,1109,1118,1121,1137,1145,1149,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,33,38,44,52,64,72,77,89,99,108,117,121,135,141,150,157,169,174,314,324,332,335,349,354,367,377,382,388,395,407,416,425,435,440,597,601,611,620,629,637,644,653,661,669,684,694,703,706,718,726,733,744,749,759,766,778,781,794,799,810,822,826,832,845,856,864,872,875,883,897,905,911,920,927,940,948,959,963,972,982,986,999,1005,1017,1024,1036,1039,1050,1057,1068,1078,1084,1095,1100,1111,1115,1125,1137,1139,1154,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,32,38,43,57,64,70,85,86,96,106,112,125,132,144,149,154,162,177,314,324,331,341,344,354,369,372,381,391,402,405,418,428,429,441,599,603,616,626,631,639,644,658,664,674,681,686,702,705,712,722,736,745,754,757,766,780,788,789,802,810,815,827,832,840,852,858,873,879,891,897,906,908,918,926,941,946,956,964,975,981,991,996,1009,1016,1020,1035,1037,1046,1060,1062,1074,1082,1092,1098,1111,1116,1130,1133,1145,1155,1159,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,30,36,49,57,62,76,80,89,100,110,115,124,129,142,152,158,168,170,183,324,333,336,344,353,364,372,379,391,403,404,418,421,437,442,597,601,613,620,632,637,650,658,662,671,678,694,702,711,717,722,736,741,748,759,766,774,785,793,804,807,815,823,834,840,849,865,873,877,883,893,903,913,918,929,939,945,958,962,976,982,988,998,1005,1012,1023,1029,1042,1046,1056,1069,1075,1087,1091,1097,1110,1114,1129,1136,1143,1149,1161,1168,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,16,24,30,36,47,51,67,71,79,87,97,110,111,125,133,143,152,155,162,173,313,324,335,336,351,354,368,376,381,393,396,408,415,423,436,442,458,604,613,620,632,637,647,659,662,677,681,690,697,710,716,722,736,740,752,757,767,771,787,791,798,813,819,826,838,845,856,861,869,881,890,892,905,912,920,931,939,943,954,964,975,981,986,993,1003,1013,1020,1036,1038,1050,1054,1070,1076,1081,1095,1100,1106,1120,1122,1137,1145,1152,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,21,28,38,48,58,66,68,79,93,101,103,112,126,131,141,145,157,165,174,316,324,331,341,344,353,367,374,381,391,402,408,418,428,435,440,596,606,617,626,629,642,651,656,666,674,680,691,695,708,713,722,730,739,750,759,771,777,786,793,804,811,819,827,836,840,851,858,872,881,884,895,902,908,924,925,934,947,957,960,974,978,988,1002,1004,1011,1022,1034,1037,1045,1061,1064,1072,1086,1088,1104,1109,1120,1125,1137,1141,1151,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,18,31,41,43,58,66,74,83,90,99,103,117,122,131,142,148,153,165,172,315,324,330,338,345,356,364,369,379,394,402,405,414,424,429,439,470,602,615,626,629,642,649,657,666,675,682,688,701,709,714,723,734,743,753,760,764,775,783,791,800,806,816,828,838,847,855,863,871,878,883,897,904,916,923,926,934,946,957,965,974,984,992,998,1004,1013,1023,1033,1038,1047,1056,1063,1075,1084,1090,1102,1107,1118,1128,1136,1145,1153,1159,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,23,27,35,48,56,64,74,78,87,95,103,118,122,134,142,149,161,167,176,316,321,330,341,351,357,365,374,383,391,399,404,416,422,435,440,460,602,617,619,628,638,649,652,661,677,680,691,702,705,716,723,733,737,754,760,764,774,785,789,800,811,822,825,833,846,854,864,873,881,884,891,902,908,925,927,939,950,952,961,970,980,989,1000,1009,1014,1022,1035,1038,1052,1059,1068,1076,1083,1090,1099,1109,1113,1122,1135,1139,1153,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,24,30,39,43,56,66,75,81,93,99,109,116,121,134,142,151,154,170,176,180,321,333,338,347,355,365,373,385,388,401,411,418,426,436,442,597,607,609,620,627,635,647,660,665,674,681,693,698,711,714,723,734,741,747,760,763,773,785,789,805,807,820,826,833,848,853,863,874,882,890,894,906,912,923,931,939,945,958,962,972,981,992,993,1003,1014,1020,1034,1043,1049,1059,1065,1071,1087,1088,1098,1108,1120,1130,1138,1140,1148,1160,1171	0,0,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,20,29,39,44,54,65,69,80,89,96,105,116,121,129,141,151,157,169,177,316,320,330,341,349,355,363,374,378,394,398,410,420,424,437,440,599,608,611,620,629,642,648,660,668,674,684,688,702,711,712,720,729,742,749,754,770,773,786,796,804,806,815,827,835,848,853,858,870,875,882,896,905,911,922,927,939,944,954,965,969,983,992,1001,1008,1012,1027,1036,1042,1050,1056,1065,1078,1086,1094,1100,1112,1120,1129,1138,1140,1153,1164,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,23,33,37,49,51,60,75,84,85,100,105,119,124,132,136,150,156,166,175,314,322,334,335,348,358,364,375,378,394,402,409,417,424,430,445,599,601,617,621,635,641,646,653,663,672,679,689,696,708,717,723,731,741,753,758,771,777,783,790,801,808,821,831,834,843,852,862,871,881,883,892,902,915,924,926,936,943,954,961,975,981,990,995,1010,1013,1021,1031,1043,1045,1056,1066,1072,1079,1087,1104,1106,1118,1123,1134,1147,1149,1163,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,30,39,47,55,66,73,77,86,96,106,115,119,132,141,147,160,168,173,314,320,334,342,345,356,365,374,378,391,399,411,413,422,431,442,451,609,612,618,634,642,651,655,663,669,678,687,703,710,716,722,732,743,753,759,768,779,788,796,804,806,818,828,835,844,850,858,869,881,890,898,904,914,924,932,940,942,953,963,971,982,986,998,1010,1016,1022,1030,1040,1052,1055,1064,1072,1081,1088,1104,1110,1119,1125,1131,1143,1147,1159,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,30,36,45,53,61,72,80,90,96,105,117,127,133,140,148,156,165,175,316,321,334,342,345,354,368,374,385,394,397,407,418,427,429,443,598,603,613,625,628,638,651,658,663,669,684,690,695,711,712,726,729,740,752,761,763,776,786,796,798,808,820,823,836,840,854,865,869,877,888,893,905,910,917,931,939,944,953,965,970,983,992,998,1006,1013,1025,1029,1043,1046,1061,1062,1075,1086,1091,1104,1112,1118,1129,1133,1144,1154,1156,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,29,36,46,56,60,76,80,91,94,103,111,126,131,141,147,157,170,177,316,325,329,341,344,355,368,376,380,389,398,406,413,427,435,445,463,609,617,621,627,642,650,659,663,675,678,694,695,709,713,725,736,738,750,757,771,774,782,794,804,812,819,825,839,843,854,857,866,881,885,896,900,908,920,926,941,943,954,967,972,977,988,994,1006,1018,1024,1032,1043,1045,1061,1069,1077,1081,1091,1099,1106,1120,1130,1132,1144,1150,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,29,34,43,53,60,72,78,90,99,107,117,127,129,137,150,155,168,175,314,320,331,343,349,355,365,370,379,388,395,408,415,426,432,444,596,605,616,619,631,642,650,656,664,674,681,690,695,703,715,726,732,746,749,762,769,777,785,792,804,813,819,824,839,848,853,864,868,876,886,891,901,912,917,930,935,942,952,963,974,982,986,1001,1003,1018,1027,1035,1043,1047,1053,1064,1070,1086,1090,1104,1112,1117,1121,1135,1146,1150,1159,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,19,27,35,49,58,60,75,79,87,98,105,111,126,132,140,149,159,170,171,314,323,327,336,347,354,366,377,384,393,396,407,418,426,429,437,597,602,611,619,626,642,645,654,665,675,680,690,695,708,716,728,733,742,752,760,768,774,780,796,802,813,820,824,835,847,855,861,873,877,885,897,904,914,922,931,942,947,951,963,972,984,987,996,1010,1014,1025,1035,1042,1047,1053,1062,1077,1085,1093,1101,1106,1119,1122,1132,1140,1149,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,27,39,49,53,60,71,83,87,101,107,112,127,134,140,147,160,166,176,313,320,327,339,346,352,366,376,380,389,395,403,418,426,437,440,448,605,611,620,629,641,645,652,664,673,678,689,697,707,713,720,730,742,752,758,769,777,785,788,798,811,818,826,832,841,850,859,872,876,885,897,901,914,918,928,942,946,956,960,973,977,988,998,1007,1014,1021,1033,1037,1047,1060,1067,1070,1085,1091,1101,1106,1116,1125,1132,1139,1152,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,31,39,46,53,64,68,84,89,96,102,117,123,129,137,152,155,166,173,316,325,333,340,352,356,366,371,378,389,397,409,413,425,436,445,458,608,613,623,629,638,651,653,667,671,678,692,695,708,718,726,731,745,751,755,763,777,785,788,800,813,822,824,835,843,852,865,871,874,886,897,900,914,920,928,939,946,959,967,973,981,986,1001,1009,1015,1026,1032,1040,1051,1061,1068,1075,1086,1090,1099,1110,1114,1124,1132,1142,1150,1164,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,21,29,41,49,58,61,68,82,87,98,108,115,125,129,141,149,158,168,177,316,319,332,338,351,356,364,373,378,390,403,410,417,423,430,439,600,604,612,618,634,641,649,656,666,671,683,689,695,705,713,727,730,744,747,757,764,772,785,793,798,806,818,826,832,847,850,865,871,879,891,897,902,916,923,928,937,950,954,967,970,977,988,995,1002,1015,1020,1033,1042,1050,1054,1069,1073,1084,1090,1103,1107,1121,1128,1133,1142,1151,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,31,35,51,53,67,68,81,86,102,103,112,120,131,142,149,158,163,172,314,323,327,343,350,352,361,369,384,393,397,410,418,426,431,440,449,608,609,620,630,641,648,652,660,669,683,693,695,704,717,727,734,744,753,756,766,773,787,791,803,807,817,829,836,845,849,863,871,881,888,895,906,914,924,928,934,950,956,962,976,978,990,1002,1007,1014,1024,1032,1040,1052,1054,1063,1077,1086,1090,1099,1105,1120,1128,1136,1143,1148,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,19,25,41,45,58,60,73,78,91,100,107,116,120,134,140,147,158,169,176,316,318,329,338,346,358,361,374,382,390,398,404,416,421,431,442,597,604,617,623,633,635,650,653,668,672,681,690,695,704,712,723,735,743,747,755,765,779,780,788,803,809,821,830,836,847,851,865,868,875,884,897,901,910,921,928,940,949,953,960,972,981,988,1001,1003,1014,1019,1036,1041,1047,1058,1068,1075,1084,1088,1097,1105,1118,1125,1137,1147,1151,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,29,37,47,59,64,72,81,89,100,103,117,127,134,144,150,157,165,178,179,321,331,342,346,355,362,374,382,394,395,406,412,426,433,444,599,604,614,621,627,642,647,652,666,670,684,689,696,707,717,721,730,744,748,760,770,772,780,789,804,813,819,829,836,844,856,860,872,879,888,899,902,908,923,926,941,944,951,961,976,985,990,998,1005,1014,1022,1031,1041,1047,1058,1068,1072,1080,1096,1097,1111,1120,1129,1135,1142,1150,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0
0,9,25,32,36,44,55,59,70,77,90,100,107,117,126,135,139,145,158,165,176,188,318,334,337,351,359,362,369,384,388,400,405,415,424,436,441,450,604,613,618,634,636,651,656,663,673,684,690,698,704,715,725,734,743,754,755,766,775,788,791,797,812,816,830,835,840,853,862,867,878,884,899,901,909,918,929,936,948,953,962,975,980,989,1000,1007,1011,1023,1033,1040,1051,1055,1069,1073,1083,1092,1103,1111,1113,1125,1133,1142,1154,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,25,26,41,47,58,61,70,80,91,95,107,111,125,135,137,148,157,166,175,179,325,332,341,352,355,365,370,381,389,396,412,417,420,430,446,469,607,611,619,627,639,644,660,662,675,685,693,701,710,714,724,734,743,747,761,764,778,783,795,797,810,818,825,838,840,849,861,873,877,883,899,903,914,919,931,940,950,953,961,975,980,990,999,1008,1011,1021,1029,1043,1050,1056,1063,1075,1083,1090,1096,1109,1116,1125,1134,1145,1150,1160,1171	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,30,36,45,54,66,69,77,87,98,107,115,127,128,138,152,157,167,171,201,323,335,338,345,357,365,376,384,391,399,408,414,425,431,441,450,601,610,623,631,635,647,659,661,669,678,688,702,710,718,722,737,738,750,756,771,779,783,796,804,813,822,826,833,840,850,861,866,879,886,895,907,914,916,925,940,946,953,967,970,985,990,1001,1008,1016,1027,1031,1040,1048,1061,1063,1077,1085,1089,1097,1106,1117,1126,1137,1146,1149,1160,1170,1178	1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,21,32,38,46,52,66,73,78,90,101,104,111,127,132,143,153,161,164,173,182,322,332,338,349,359,367,375,386,393,402,407,414,421,437,444,447,604,614,624,629,639,650,658,663,673,679,687,701,707,712,726,731,743,751,755,767,776,781,793,804,809,817,823,833,844,850,857,866,876,890,897,900,912,918,931,937,942,958,965,973,981,987,997,1004,1017,1022,1031,1043,1049,1058,1067,1075,1086,1091,1102,1112,1117,1123,1131,1146,1155,1162,1172,1177	0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,14,22,33,41,49,56,65,70,79,91,97,105,117,123,134,144,145,161,165,170,201,322,332,342,344,353,362,375,378,391,403,409,418,428,436,443,460,606,616,619,628,641,652,657,666,676,686,687,702,703,714,727,733,743,748,754,763,777,784,792,804,810,817,829,833,841,853,861,872,879,883,898,905,910,919,930,941,945,958,961,969,982,990,996,1009,1018,1025,1034,1036,1053,1060,1065,1071,1083,1088,1104,1108,1118,1124,1134,1139,1155,1160,1167	1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
7,14,22,29,37,48,59,62,71,84,88,100,109,116,120,128,137,151,158,164,177,187,324,328,342,349,360,366,372,380,387,396,409,418,423,435,444,599,608,615,621,627,642,646,652,661,671,679,694,699,705,717,724,734,740,753,756,771,772,783,794,800,806,817,824,834,841,855,858,872,876,884,899,903,911,918,932,940,950,954,966,973,983,991,998,1004,1017,1019,1027,1041,1053,1056,1062,1077,1083,1090,1098,1112,1121,1128,1136,1139,1152,1162,1167,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,13,19,28,36,47,51,67,68,77,91,100,102,116,126,133,142,148,159,167,173,181,326,329,341,346,354,366,370,383,393,399,404,416,422,435,442,454,605,612,621,631,643,651,659,662,669,683,687,700,703,719,723,732,743,752,758,767,772,786,795,805,812,817,829,831,844,849,857,868,878,883,893,903,909,919,930,941,944,953,965,973,983,986,996,1008,1018,1021,1031,1041,1049,1057,1070,1077,1079,1094,1096,1106,1117,1124,1132,1142,1150,1156,1171	0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,20,29,38,51,55,65,75,83,88,95,104,118,123,135,141,150,157,164,178,315,320,331,335,348,355,369,370,379,387,397,407,416,421,436,444,455,601,609,626,632,640,644,654,668,674,681,686,695,709,718,724,732,742,746,759,768,774,785,790,797,809,822,829,835,843,854,862,873,882,889,894,904,916,918,928,939,949,956,967,975,978,989,997,1008,1013,1020,1034,1037,1053,1054,1063,1076,1079,1091,1096,1108,1120,1127,1134,1141,1148,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,27,42,50,57,64,74,78,89,99,106,114,124,129,141,149,154,165,174,192,322,334,342,352,356,364,375,378,389,395,407,419,421,435,438,598,601,612,620,627,638,647,652,662,675,684,690,701,705,713,723,737,742,749,761,768,773,782,789,800,810,817,823,833,842,855,857,870,879,883,892,900,910,923,932,941,950,955,960,972,980,987,1000,1003,1012,1024,1033,1040,1047,1057,1068,1076,1080,1094,1101,1109,1115,1128,1133,1144,1154,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
8,10,19,30,34,47,52,61,68,84,92,101,104,116,122,133,139,151,160,166,178,183,323,329,336,345,358,369,372,381,388,398,410,414,425,433,444,597,608,610,625,633,639,646,657,661,677,682,690,700,711,712,721,736,743,747,754,766,775,785,790,799,812,816,830,837,840,854,864,870,879,883,893,908,915,924,927,934,946,956,964,974,979,991,1001,1004,1011,1021,1030,1044,1049,1059,1068,1074,1080,1089,1100,1109,1113,1129,1132,1142,1156,1163,1172,1176	0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,20,29,35,49,59,61,74,79,90,94,110,113,121,131,140,149,159,165,176,183,319,331,342,347,358,364,373,386,389,401,412,415,420,437,440,470,605,609,618,631,635,649,660,667,674,685,693,696,704,718,727,729,738,751,758,764,773,786,793,800,808,818,824,833,842,857,859,870,878,885,891,902,914,925,929,941,943,955,962,968,980,985,997,1008,1013,1023,1031,1039,1048,1058,1066,1074,1082,1093,1102,1106,1119,1122,1138,1142,1154,1162,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,20,27,34,44,56,64,72,83,91,100,103,117,125,134,138,149,155,166,172,185,319,327,336,344,357,365,373,386,391,396,407,420,422,429,445,599,603,616,625,632,639,646,653,662,670,679,692,701,711,715,724,729,738,748,761,769,772,788,790,800,811,815,828,832,847,853,861,868,876,888,898,908,916,920,928,937,946,953,966,968,981,991,1001,1009,1011,1025,1030,1038,1047,1054,1065,1071,1084,1092,1101,1109,1114,1126,1130,1139,1151,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,23,31,40,46,59,64,73,83,86,97,108,116,122,133,139,153,154,166,176,180,320,329,342,345,352,367,376,385,387,402,404,413,423,435,439,458,607,612,621,632,642,645,652,667,675,686,687,702,704,715,723,731,742,753,760,765,774,781,794,804,808,815,830,838,845,853,857,873,881,889,897,900,914,920,933,941,950,957,964,976,982,987,1001,1004,1011,1023,1029,1039,1046,1060,1068,1076,1087,1091,1099,1105,1121,1129,1138,1141,1155,1157,1168,1173	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
5,12,25,31,40,46,51,65,74,81,88,95,106,112,125,130,144,145,158,168,173,179,319,332,335,351,360,368,371,378,386,397,411,415,427,436,442,599,604,609,620,631,643,649,653,665,669,678,693,695,704,718,727,735,745,753,754,765,771,785,789,801,806,817,827,831,846,853,865,874,882,886,894,904,911,917,929,935,946,952,967,974,978,987,999,1005,1013,1021,1035,1040,1047,1062,1063,1073,1085,1091,1097,1110,1115,1123,1131,1144,1149,1160,1172,1173	1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,24,33,37,44,56,63,69,85,93,96,102,117,125,136,138,149,158,164,174,314,323,335,337,344,352,366,377,380,387,399,406,420,423,429,443,461,607,615,623,627,640,643,657,662,671,683,692,701,706,715,723,736,740,752,757,765,774,782,794,799,812,819,830,835,840,853,861,873,876,885,896,903,910,918,932,941,949,955,967,974,977,989,1001,1006,1018,1019,1033,1044,1046,1059,1062,1078,1087,1091,1101,1109,1119,1127,1134,1142,1151,1164,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,31,37,44,53,65,74,84,86,99,103,117,120,135,141,151,157,169,171,318,319,334,341,350,358,368,377,383,387,400,411,413,421,436,442,596,605,616,625,634,637,645,659,668,674,686,693,698,710,716,727,730,742,751,761,765,779,785,794,803,811,816,827,839,842,854,861,870,876,885,895,903,915,924,929,939,944,951,964,970,978,992,999,1010,1017,1025,1035,1041,1049,1055,1063,1074,1080,1093,1104,1105,1115,1127,1135,1139,1154,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,27,40,50,54,60,74,80,90,101,104,118,122,129,138,151,154,162,176,317,326,329,335,346,358,366,372,381,388,401,406,419,427,430,439,598,606,616,622,629,642,646,655,663,670,681,686,701,709,719,728,736,738,748,761,763,772,780,791,803,807,815,831,833,841,848,864,866,877,884,894,905,914,917,932,935,944,957,963,975,980,985,999,1009,1015,1022,1030,1040,1052,1059,1063,1072,1080,1088,1103,1105,1118,1130,1132,1139,1153,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,20,30,37,51,53,63,74,80,88,101,103,116,125,134,138,153,155,164,174,313,323,331,337,344,355,368,377,385,389,398,411,418,424,436,438,456,602,615,623,632,643,652,659,661,677,679,688,701,704,716,720,735,738,749,756,767,773,783,796,797,807,816,827,839,841,853,860,872,881,886,894,908,915,924,932,937,948,956,966,968,976,986,994,1007,1013,1022,1029,1044,1048,1059,1064,1077,1083,1091,1098,1112,1119,1129,1135,1143,1151,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,25,35,46,54,62,76,83,88,98,107,115,122,130,145,153,156,168,174,313,318,331,337,343,354,368,377,382,394,398,403,412,427,434,445,466,602,611,619,629,636,645,654,668,671,683,689,702,707,715,720,731,740,748,759,764,776,780,788,801,805,821,825,837,846,854,861,871,874,888,896,906,912,923,928,939,943,956,964,970,981,989,1000,1007,1012,1025,1033,1038,1052,1060,1070,1074,1085,1094,1103,1112,1118,1125,1137,1144,1147,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,32,34,48,54,68,71,80,89,101,107,112,121,135,143,145,154,169,179,318,326,331,343,350,357,367,374,379,395,401,409,419,424,433,439,468,604,615,621,628,643,649,652,662,670,681,689,699,703,718,722,733,742,747,760,770,779,785,796,797,811,822,827,836,840,850,861,870,882,884,898,905,910,918,930,939,946,956,964,975,980,991,999,1006,1017,1027,1035,1039,1050,1058,1064,1075,1079,1096,1097,1108,1113,1123,1135,1140,1155,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,25,40,49,55,66,75,82,86,97,109,116,123,132,136,150,158,170,173,315,321,330,340,345,358,363,374,385,393,402,404,416,424,433,441,467,606,617,621,632,639,651,655,665,671,681,686,700,706,717,723,734,739,754,757,768,775,786,795,798,811,815,826,835,844,852,862,871,880,885,896,900,913,922,933,937,944,951,964,972,982,985,995,1003,1014,1024,1036,1039,1045,1059,1067,1072,1079,1096,1097,1106,1117,1130,1133,1139,1149,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,28,34,49,56,67,74,83,92,101,105,115,125,135,139,145,161,166,172,313,324,334,336,350,354,366,372,380,387,398,406,413,425,437,439,600,601,617,624,626,641,650,658,668,669,680,689,699,705,716,722,732,745,748,762,766,779,783,793,802,809,815,824,839,845,850,858,868,881,885,894,900,909,916,932,938,943,954,961,968,976,986,998,1004,1018,1023,1035,1041,1048,1055,1063,1074,1085,1092,1099,1108,1114,1123,1132,1141,1147,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,23,32,41,48,55,67,74,82,93,100,107,117,124,129,142,149,154,170,174,189,318,333,335,351,353,369,378,382,387,398,404,418,422,429,438,598,606,616,619,629,641,649,653,664,677,684,693,701,711,717,728,729,744,751,757,765,775,788,794,804,810,818,828,834,845,853,857,873,875,888,892,901,914,920,932,939,948,951,961,969,981,988,999,1003,1018,1021,1036,1040,1045,1061,1068,1073,1083,1091,1099,1108,1120,1122,1130,1144,1151,1163,1167	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,14,24,34,36,45,54,64,70,80,88,97,110,117,122,132,142,145,158,164,177,313,322,331,337,350,353,362,377,386,394,397,411,413,428,434,442,597,607,612,626,635,642,644,654,667,677,681,686,702,708,720,722,729,743,751,756,770,779,782,791,803,806,814,830,837,846,850,858,868,875,885,894,901,914,920,931,937,944,957,960,975,977,987,996,1010,1012,1020,1030,1041,1048,1056,1064,1075,1086,1089,1103,1109,1119,1124,1132,1143,1150,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,19,28,39,44,52,67,71,81,90,100,110,116,123,128,140,149,154,164,174,313,320,331,335,347,353,363,373,384,393,403,405,415,427,429,439,597,607,611,621,627,639,645,657,665,669,680,690,699,704,717,725,733,741,753,759,765,776,782,788,802,810,815,830,831,848,852,864,868,879,891,897,905,916,924,927,936,946,956,961,968,981,987,1000,1010,1017,1023,1036,1041,1048,1060,1063,1073,1080,1091,1097,1108,1113,1123,1136,1141,1153,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,29,37,46,55,63,74,80,87,100,107,114,120,128,142,147,157,162,175,314,324,326,336,346,360,363,370,386,395,399,409,419,423,431,437,463,607,617,618,628,643,647,652,664,672,679,694,702,711,714,721,734,744,752,758,764,774,788,795,800,807,822,823,837,840,854,863,868,874,890,897,902,915,917,933,939,942,951,965,975,983,993,1001,1002,1018,1025,1034,1041,1053,1054,1065,1074,1079,1091,1102,1109,1116,1128,1136,1146,1152,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,24,30,42,43,56,59,72,82,91,95,102,115,126,133,141,151,160,167,171,314,323,328,340,345,354,361,372,386,393,399,409,419,427,436,441,458,602,614,620,631,642,646,660,664,677,684,693,699,707,713,721,733,740,748,760,768,773,785,794,801,813,822,831,832,847,852,864,872,879,888,892,901,915,917,930,939,943,956,964,974,980,990,999,1008,1016,1026,1033,1043,1052,1061,1064,1072,1080,1096,1098,1105,1121,1129,1136,1146,1153,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,25,40,46,53,61,70,77,85,99,109,119,121,131,139,151,158,163,175,182,322,331,342,350,356,365,370,383,394,401,405,414,429,437,439,598,601,616,620,633,640,647,657,668,673,678,690,703,705,713,721,732,744,753,762,766,776,781,789,802,808,820,829,837,846,855,859,868,878,882,893,901,915,922,927,940,950,952,966,968,982,990,995,1004,1014,1024,1035,1037,1052,1059,1063,1076,1079,1091,1096,1111,1116,1128,1133,1144,1149,1160,1164	1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,14,17,29,38,49,55,62,71,84,89,94,110,112,120,133,142,149,161,165,175,316,319,330,343,350,361,365,372,381,388,396,410,414,423,432,437,597,602,612,619,627,642,650,657,666,675,684,690,699,707,713,725,731,743,750,761,768,772,784,791,801,808,818,830,837,841,854,863,869,875,887,893,903,914,920,927,938,944,951,966,975,981,987,1001,1010,1018,1021,1028,1042,1049,1061,1066,1077,1080,1090,1101,1110,1117,1126,1134,1140,1151,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,28,34,46,55,61,72,82,86,98,103,114,126,130,137,153,161,165,177,318,319,333,341,349,356,367,370,383,394,399,407,419,424,436,438,453,605,614,619,630,641,651,658,666,672,682,694,697,708,719,722,733,738,753,758,771,779,783,795,799,806,816,826,832,842,854,862,869,881,887,899,904,914,920,927,938,946,954,963,976,980,989,999,1010,1014,1022,1035,1038,1051,1056,1070,1074,1082,1095,1097,1107,1117,1129,1138,1141,1154,1160,1164,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,24,29,42,44,54,65,76,83,90,95,110,115,123,129,141,148,161,169,176,314,326,333,341,344,359,369,374,383,394,398,410,417,423,435,439,600,604,609,620,628,636,644,653,665,674,683,692,697,706,714,722,731,738,750,756,766,778,787,789,799,810,821,825,835,845,853,862,867,880,887,897,901,909,923,932,938,942,954,965,975,985,991,1002,1006,1017,1026,1031,1043,1053,1056,1062,1077,1086,1089,1102,1106,1115,1128,1135,1143,1151,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,32,37,50,58,60,76,77,91,94,102,113,126,134,144,150,160,168,172,317,319,331,339,347,356,366,375,384,389,396,409,416,428,434,442,597,605,611,618,633,638,649,658,661,674,680,691,696,707,717,728,735,738,752,757,765,774,782,797,804,805,818,823,839,845,852,862,870,881,883,899,902,910,919,933,936,942,958,967,972,978,992,995,1009,1017,1023,1032,1042,1048,1058,1062,1077,1086,1096,1097,1107,1114,1128,1132,1140,1151,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,25,31,37,47,52,63,76,77,93,101,105,112,125,132,143,150,155,169,171,313,323,334,337,350,360,361,375,382,390,400,407,420,426,436,439,465,606,617,618,633,636,650,654,665,675,681,693,700,707,715,728,732,738,746,761,765,776,785,788,799,813,822,826,832,845,853,857,868,880,890,898,903,916,920,928,939,943,955,966,974,977,992,995,1004,1017,1022,1035,1042,1052,1054,1068,1073,1081,1094,1101,1109,1118,1125,1132,1139,1153,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,29,39,49,51,62,76,77,92,102,106,116,125,136,138,146,155,168,175,314,323,326,340,349,353,364,372,381,392,398,404,415,422,435,446,600,603,611,622,629,635,646,657,664,671,681,688,699,707,719,724,737,743,753,759,768,772,782,793,798,811,821,829,838,846,854,864,869,875,884,892,908,912,921,931,936,944,954,960,976,982,989,999,1004,1016,1019,1034,1040,1051,1056,1066,1078,1083,1092,1097,1107,1121,1129,1133,1144,1149,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,17,28,39,44,59,68,72,77,87,95,103,115,120,133,137,146,159,165,176,313,320,327,337,350,359,364,373,383,393,401,404,416,422,437,443,598,602,612,621,632,636,650,653,669,670,685,694,703,707,719,727,734,740,748,756,766,774,787,797,805,806,816,828,837,848,854,857,870,874,889,892,904,912,921,925,939,944,951,963,972,981,990,996,1006,1014,1020,1032,1041,1045,1053,1062,1079,1082,1092,1104,1108,1121,1127,1132,1145,1155,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,29,40,50,56,67,76,83,92,100,104,111,124,129,140,150,160,168,171,315,326,329,338,351,356,367,371,383,387,398,406,412,424,432,446,600,606,613,618,627,635,645,655,665,673,680,690,701,710,718,727,731,739,754,760,770,777,780,795,798,805,818,829,835,845,856,859,866,877,887,892,907,912,917,928,940,943,955,960,975,983,992,995,1003,1011,1027,1030,1044,1047,1059,1064,1077,1085,1095,1096,1111,1115,1125,1130,1140,1153,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,24,30,35,48,59,67,74,82,87,99,103,114,124,130,137,149,158,165,174,315,319,334,338,344,352,367,373,380,393,400,410,415,428,429,438,465,607,610,624,632,640,645,658,665,677,683,689,701,708,719,726,737,740,753,762,766,775,787,788,800,806,820,827,837,841,850,862,865,881,886,897,900,911,924,929,934,948,957,967,974,980,991,1002,1009,1018,1020,1033,1038,1051,1054,1065,1074,1086,1089,1097,1106,1116,1124,1132,1141,1147,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,30,34,42,55,64,70,84,88,102,105,119,126,133,141,152,154,167,178,317,323,329,341,343,360,365,375,381,390,401,408,419,422,434,439,449,606,613,618,628,636,649,659,662,672,679,686,694,706,715,720,733,743,748,758,767,776,786,795,799,807,819,826,835,842,855,861,868,878,891,896,906,910,924,927,942,949,954,963,974,983,987,998,1008,1018,1023,1028,1040,1047,1061,1062,1074,1083,1093,1102,1111,1114,1128,1132,1141,1147,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,22,30,41,48,59,67,75,78,89,99,110,113,121,129,141,151,157,163,172,317,322,333,339,345,360,366,371,381,389,398,404,418,428,436,443,598,606,613,621,629,642,651,653,667,674,681,691,698,710,718,721,737,739,752,755,770,775,780,792,804,806,819,827,837,847,853,859,867,875,885,892,901,913,925,926,941,949,952,961,974,982,993,998,1005,1012,1020,1029,1038,1050,1055,1064,1071,1079,1090,1099,1105,1115,1123,1135,1140,1155,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,33,39,51,59,61,75,77,90,100,105,113,127,136,143,152,158,168,175,315,322,331,335,347,353,368,372,380,391,396,404,413,422,434,438,600,601,616,618,627,639,645,658,668,675,686,691,701,705,719,722,737,741,749,760,767,778,787,792,801,806,818,826,839,845,854,863,866,875,890,896,903,916,920,927,934,949,954,964,969,979,989,999,1005,1017,1023,1032,1037,1051,1055,1063,1073,1082,1092,1104,1110,1120,1128,1131,1146,1152,1160,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,25,32,37,48,55,67,71,79,93,98,105,111,124,129,139,145,158,163,174,200,318,330,339,344,358,364,377,382,387,398,404,418,427,429,444,451,606,613,626,627,642,649,655,666,675,679,689,695,704,717,727,735,745,753,762,767,778,787,789,803,810,822,826,835,847,854,860,866,875,889,899,903,910,919,925,938,949,953,962,971,981,987,996,1008,1017,1020,1030,1040,1046,1056,1066,1072,1084,1091,1100,1106,1116,1124,1135,1143,1153,1158,1171,1175	1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,18,33,39,49,57,65,71,79,86,99,105,117,126,134,141,148,153,164,173,180,321,334,342,349,359,363,370,385,389,397,411,420,427,434,443,466,601,611,623,633,637,651,653,669,673,680,693,697,704,719,724,733,741,751,762,769,774,784,792,805,811,820,830,833,843,855,863,871,874,884,893,906,910,918,929,934,946,954,961,976,978,991,1000,1002,1018,1025,1029,1040,1047,1056,1066,1070,1080,1087,1102,1111,1114,1125,1130,1139,1155,1161,1167,1175	0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0
7,10,24,30,34,44,52,61,68,76,85,96,103,113,119,130,144,145,154,166,174,183,326,330,337,350,360,364,369,385,388,402,406,420,426,431,444,598,609,610,626,634,639,652,657,669,676,680,693,701,703,715,721,733,742,747,761,769,777,780,791,800,811,818,831,834,843,854,858,869,878,889,895,902,913,920,932,935,944,958,964,971,978,993,998,1007,1017,1026,1031,1038,1050,1059,1069,1078,1086,1090,1100,1107,1120,1130,1134,1140,1155,1156,1167,1178	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,17,32,39,43,53,60,76,79,85,96,105,117,126,135,139,150,154,169,178,187,325,330,337,347,355,368,375,379,388,401,410,416,426,431,444,599,601,617,618,631,640,650,658,663,675,682,693,699,708,719,726,731,740,749,760,764,776,781,793,805,809,820,830,833,844,856,861,872,880,890,895,902,915,918,929,935,950,955,965,969,977,987,1001,1006,1016,1027,1034,1038,1046,1055,1067,1072,1081,1095,1102,1106,1120,1129,1130,1145,1149,1162,1166,1173	1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0
6,8,22,30,34,46,54,65,75,82,87,99,107,115,124,129,144,152,160,162,176,184,320,330,339,346,354,365,377,378,394,399,407,419,428,435,442,598,602,617,623,633,642,649,652,666,673,679,688,702,708,715,723,730,737,753,758,766,773,786,789,798,806,820,824,837,843,853,865,866,880,888,896,908,915,923,932,935,945,958,961,969,978,988,997,1009,1015,1019,1028,1044,1049,1054,1062,1072,1084,1088,1104,1109,1121,1124,1135,1143,1153,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,21,29,42,48,52,60,75,77,90,96,105,118,121,130,144,147,155,162,175,183,323,330,336,348,354,367,374,384,390,400,410,413,422,434,442,599,606,610,621,627,638,644,656,665,670,677,687,703,710,712,720,734,739,748,758,765,774,784,790,802,806,816,824,833,847,848,858,867,881,890,894,906,912,923,926,934,946,953,967,969,979,985,999,1006,1013,1026,1028,1043,1045,1053,1070,1077,1083,1089,1102,1108,1114,1124,1137,1140,1148,1157,1170	1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,10,17,30,39,46,52,66,69,78,87,99,109,119,120,132,137,147,155,164,172,204,325,333,340,343,352,362,376,383,392,397,405,414,424,432,438,599,603,614,623,627,641,645,656,662,673,680,693,694,709,720,724,730,744,753,761,770,778,788,791,804,810,814,823,832,846,848,862,869,876,888,896,901,916,924,928,938,945,955,967,969,978,993,998,1003,1015,1023,1028,1043,1052,1061,1069,1076,1084,1090,1103,1109,1113,1123,1138,1143,1153,1160,1172,1175	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,13,18,28,36,51,58,66,69,78,90,98,104,111,123,129,137,150,155,169,172,200,326,334,337,350,358,366,372,379,387,395,406,419,422,430,438,460,605,611,618,626,641,646,660,667,674,677,689,698,707,718,727,729,743,752,761,770,774,784,793,798,811,822,830,835,841,849,857,872,876,884,892,906,910,923,932,942,946,955,961,975,981,991,996,1002,1012,1026,1035,1039,1047,1056,1070,1076,1083,1090,1101,1112,1114,1127,1133,1146,1155,1156,1165,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,29,34,44,56,64,68,81,89,97,110,117,120,132,138,150,157,165,177,314,323,327,341,347,355,361,373,378,391,402,408,418,423,431,445,596,601,617,625,626,641,645,653,664,675,681,691,698,705,717,723,735,739,747,761,771,774,783,793,803,807,814,824,834,842,849,859,865,874,888,893,904,913,922,932,936,949,955,967,975,978,988,995,1002,1011,1023,1034,1039,1046,1055,1065,1070,1081,1089,1099,1105,1116,1122,1137,1143,1153,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,25,32,36,44,58,60,76,80,88,95,103,114,121,130,142,145,158,165,178,181,324,330,342,351,357,368,372,378,389,402,406,420,427,434,445,599,601,612,625,628,636,644,658,665,672,681,689,699,706,718,722,735,742,751,761,768,772,782,792,801,806,817,826,837,846,850,864,867,876,886,897,902,909,923,930,939,944,954,963,974,978,987,994,1007,1011,1025,1033,1042,1051,1059,1065,1077,1087,1094,1102,1107,1119,1124,1137,1143,1152,1162,1168,1173	1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,12,23,30,38,43,55,67,71,80,93,98,103,112,127,129,137,147,154,169,175,180,322,335,341,344,357,362,377,379,390,401,404,413,428,431,441,596,607,617,620,633,638,645,658,664,670,678,693,698,708,715,723,736,742,753,759,767,777,786,791,803,808,820,827,838,845,850,860,870,879,885,891,900,909,922,931,939,942,959,963,975,976,990,994,1008,1018,1020,1031,1040,1048,1059,1069,1077,1084,1088,1104,1106,1118,1124,1136,1143,1155,1157,1166,1173	0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,14,17,27,36,46,55,68,74,83,89,94,102,111,120,133,143,150,157,163,179,192,320,334,337,345,360,363,375,379,389,397,410,412,426,436,443,463,605,615,618,631,642,643,653,668,673,685,691,702,709,717,721,732,739,752,757,764,779,780,796,797,807,814,830,834,845,855,858,867,882,886,899,903,914,924,930,934,948,951,963,971,977,992,997,1005,1016,1020,1030,1043,1051,1061,1069,1073,1085,1093,1099,1109,1118,1127,1133,1144,1152,1157,1168,1177	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,8,22,30,38,44,56,67,69,84,89,98,105,113,125,130,136,145,156,167,178,183,324,328,343,349,353,365,377,386,394,400,405,414,421,437,438,447,601,615,626,628,642,648,655,667,671,684,688,697,711,714,723,734,740,746,761,763,774,784,796,804,814,820,827,836,844,853,861,867,874,884,897,905,910,918,930,937,948,954,962,975,980,989,997,1008,1016,1025,1034,1039,1051,1056,1063,1077,1084,1095,1098,1113,1121,1125,1133,1144,1152,1161,1171,1175	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,15,20,30,36,44,56,67,74,81,93,98,106,113,125,135,141,147,158,167,174,179,321,331,339,343,357,364,370,381,388,400,404,419,423,430,443,597,604,616,619,632,639,643,659,665,672,684,687,701,707,715,725,736,745,746,757,765,779,786,790,805,807,818,827,838,842,856,862,867,874,889,895,903,912,921,933,940,950,958,963,972,984,985,998,1002,1015,1020,1032,1037,1050,1060,1066,1076,1083,1090,1096,1111,1118,1129,1135,1142,1150,1156,1171,1176	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,21,28,37,49,54,61,68,83,87,95,106,112,124,129,141,149,153,168,171,185,320,328,340,351,356,367,373,384,389,402,404,412,426,436,440,465,601,609,620,633,638,645,655,667,672,679,691,698,706,712,722,734,742,748,758,766,771,782,796,805,806,822,827,836,840,849,864,867,880,884,893,901,913,922,925,934,945,952,967,972,980,988,995,1009,1019,1022,1035,1040,1048,1054,1065,1074,1079,1094,1101,1105,1116,1125,1138,1146,1154,1157,1168,1177	1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,24,25,37,49,56,61,74,80,87,94,104,111,122,132,138,151,156,169,176,314,326,330,335,349,356,364,375,384,390,398,410,419,428,430,444,599,604,611,618,634,638,651,659,662,671,683,693,697,703,714,725,730,740,747,758,763,777,783,790,799,806,816,828,834,844,853,865,871,880,884,896,905,908,919,932,936,943,952,966,974,982,993,999,1002,1011,1020,1029,1044,1048,1057,1067,1077,1079,1088,1104,1108,1117,1128,1135,1143,1154,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,19,32,34,50,53,62,69,80,87,101,108,111,121,133,141,145,154,167,176,314,319,332,339,350,357,367,374,386,391,403,410,416,423,431,445,452,603,615,625,634,642,651,652,664,670,680,690,696,708,720,726,731,742,752,762,764,772,782,795,801,814,815,829,832,840,849,860,870,876,890,891,905,910,923,928,934,950,958,961,976,982,985,997,1009,1019,1026,1035,1037,1046,1058,1064,1076,1079,1090,1101,1107,1119,1126,1135,1144,1150,1158,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,19,30,35,46,53,67,71,78,90,100,104,114,125,130,140,151,156,170,177,314,321,330,336,351,360,361,375,386,389,396,408,419,427,433,438,468,604,617,619,629,639,651,656,666,670,679,688,699,708,717,723,730,745,749,760,767,779,783,795,801,811,819,823,836,840,851,857,872,881,886,899,904,916,922,929,938,945,958,961,972,979,986,994,1008,1014,1025,1028,1037,1046,1055,1065,1076,1086,1087,1103,1111,1115,1125,1137,1142,1150,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,17,22,32,38,44,53,60,68,80,86,101,106,116,120,136,138,149,159,162,177,316,324,327,340,351,353,366,376,379,388,395,410,417,425,432,440,469,606,614,626,635,640,646,656,666,673,685,688,696,704,718,723,734,745,747,763,769,778,787,793,803,810,815,827,835,843,853,857,866,874,886,893,906,913,919,927,941,950,954,967,976,977,987,995,1010,1014,1025,1029,1037,1045,1061,1067,1073,1080,1091,1102,1109,1116,1127,1138,1140,1154,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,25,30,36,42,57,67,71,78,90,96,108,112,119,128,140,152,155,169,171,317,324,334,336,345,358,367,372,381,389,395,405,417,422,434,444,597,602,612,624,627,642,649,659,666,675,684,688,697,709,719,721,732,741,752,761,771,773,784,790,804,806,819,824,838,847,855,863,871,881,890,892,900,912,919,925,934,942,951,964,972,977,993,999,1003,1015,1023,1035,1036,1048,1053,1065,1078,1087,1094,1102,1108,1118,1123,1138,1142,1155,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,31,34,48,59,65,75,80,88,101,105,114,127,128,137,152,157,166,176,314,321,334,343,346,358,364,369,382,388,395,406,419,426,433,445,598,604,612,620,627,636,651,653,661,672,682,686,699,703,717,727,731,738,753,754,769,778,782,792,800,809,822,829,834,842,855,859,871,875,886,893,905,909,920,929,940,948,959,962,971,978,991,995,1006,1012,1021,1035,1042,1048,1057,1068,1077,1086,1089,1098,1112,1115,1124,1132,1142,1154,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,19,26,40,51,55,65,71,85,89,94,105,116,122,134,137,146,158,167,175,314,321,329,338,351,355,365,376,385,387,398,405,417,424,434,440,600,606,610,623,633,640,649,659,666,671,685,691,697,705,717,728,732,745,750,759,764,779,781,790,801,808,818,823,838,845,856,863,868,875,890,894,904,911,920,933,935,945,957,960,971,982,986,1000,1004,1011,1020,1028,1037,1046,1057,1065,1070,1081,1091,1101,1111,1120,1128,1138,1142,1151,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,17,31,38,46,55,61,71,80,90,94,110,117,121,128,138,147,156,162,178,316,319,331,339,345,358,362,373,378,387,396,411,420,422,430,440,596,602,611,622,631,636,648,652,665,669,681,693,697,708,713,724,730,742,753,754,764,773,784,793,797,813,820,826,838,847,854,859,870,882,889,893,900,909,917,927,938,942,952,966,976,977,993,995,1009,1010,1019,1033,1043,1048,1061,1062,1071,1083,1093,1098,1107,1114,1122,1135,1146,1152,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,26,35,50,54,62,69,83,89,98,106,111,120,132,143,152,157,163,173,184,321,330,340,346,359,364,373,383,386,403,411,415,421,436,443,598,601,609,623,633,642,649,655,661,669,681,693,702,705,720,726,731,740,753,760,769,773,780,791,801,814,818,823,832,844,856,857,870,880,888,892,907,910,923,929,934,949,957,966,973,984,986,995,1010,1014,1023,1029,1042,1050,1055,1069,1074,1086,1088,1100,1111,1118,1124,1137,1142,1154,1164,1170,1176	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,10,21,31,41,51,57,60,71,84,85,101,103,116,122,131,144,146,155,164,178,317,320,334,336,345,357,367,371,386,394,397,405,419,428,434,444,468,606,615,619,632,636,647,653,663,671,682,691,699,705,715,727,736,741,749,755,764,772,784,796,797,807,817,825,835,847,849,864,866,878,888,894,906,914,918,933,941,944,955,964,970,982,988,1000,1003,1015,1023,1033,1042,1048,1056,1069,1072,1082,1092,1103,1109,1119,1123,1138,1144,1147,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,25,31,40,46,52,64,68,78,88,95,104,111,121,130,140,151,157,169,171,315,325,330,336,351,358,363,376,382,394,400,408,420,424,435,440,465,609,616,623,630,636,644,655,664,673,679,689,703,706,718,728,733,744,748,759,768,776,781,793,801,807,818,824,832,847,851,863,867,880,882,893,907,909,921,930,935,949,955,965,972,984,993,1001,1007,1016,1027,1033,1043,1046,1058,1065,1074,1080,1089,1104,1108,1119,1122,1136,1146,1155,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,32,42,44,51,61,74,80,86,102,108,113,122,132,142,150,158,169,175,315,321,329,338,352,357,366,376,386,387,401,408,414,426,436,440,460,604,609,621,627,637,643,660,661,675,678,686,699,707,714,726,734,741,753,762,769,776,786,791,804,809,819,823,835,847,855,860,873,877,885,897,904,915,923,927,935,949,958,963,974,985,990,999,1007,1013,1027,1035,1039,1052,1060,1068,1072,1082,1089,1102,1112,1118,1124,1130,1146,1152,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,33,36,48,58,62,70,82,92,98,108,112,122,133,136,149,154,164,174,316,324,330,338,345,360,364,377,386,387,401,410,417,423,435,442,599,605,615,625,629,640,647,658,663,672,684,690,699,708,714,726,729,745,749,757,764,779,782,789,800,813,819,830,832,848,852,864,869,881,886,898,906,910,916,933,939,946,956,961,970,984,992,997,1008,1017,1023,1031,1038,1047,1054,1065,1076,1086,1094,1103,1110,1120,1128,1133,1144,1154,1163,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,26,39,43,55,62,74,77,90,95,104,111,120,135,143,149,159,169,175,187,321,329,337,350,355,366,377,383,387,399,411,415,426,436,444,598,603,609,621,630,637,645,657,666,676,683,687,698,706,714,720,733,745,750,761,769,777,781,793,805,806,814,828,834,840,853,859,874,875,890,895,904,909,919,928,940,950,952,962,969,977,987,998,1006,1017,1024,1029,1044,1051,1060,1067,1075,1084,1090,1102,1112,1114,1122,1136,1147,1153,1160,1170,1173	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,16,19,32,39,43,53,64,75,85,87,100,108,114,121,135,144,152,162,167,176,314,319,333,338,349,356,368,372,381,392,395,410,413,425,430,441,598,604,610,618,633,637,651,655,661,675,684,691,701,711,717,721,729,740,751,755,764,776,781,795,797,808,817,824,838,848,856,862,872,875,887,896,907,911,917,926,936,943,953,963,973,982,988,996,1007,1016,1021,1033,1043,1047,1057,1068,1073,1086,1090,1102,1111,1120,1126,1130,1141,1151,1157,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,33,34,49,51,63,69,84,86,97,110,115,125,128,143,152,159,169,175,316,319,330,342,344,352,364,370,380,387,400,407,420,423,434,438,600,608,610,618,626,640,648,659,660,676,678,693,696,706,713,727,729,740,750,757,763,776,780,797,799,806,819,830,832,842,853,860,872,881,890,896,899,915,921,929,941,948,957,966,969,980,987,996,1003,1015,1025,1033,1040,1053,1058,1069,1079,1082,1093,1099,1111,1117,1126,1136,1141,1151,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,33,38,47,58,61,69,77,86,98,108,112,123,128,143,146,161,169,172,317,320,328,335,352,357,368,374,380,389,402,406,418,422,437,444,599,608,611,622,634,642,645,657,660,670,684,690,702,706,712,727,729,745,748,762,764,775,783,791,804,810,821,825,834,846,855,864,865,879,890,897,900,916,922,925,941,948,952,965,974,981,985,993,1004,1019,1020,1029,1043,1050,1054,1068,1076,1082,1095,1104,1111,1121,1126,1134,1142,1153,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,32,37,44,55,62,76,82,85,102,108,117,127,128,140,148,154,168,175,316,322,333,338,346,352,361,369,386,393,400,404,416,427,432,443,598,601,617,623,631,637,646,660,666,671,683,687,701,706,715,720,729,744,752,756,767,776,787,794,803,813,820,829,831,844,854,864,870,874,886,895,900,915,917,925,939,950,956,962,970,983,987,994,1005,1011,1022,1030,1042,1046,1059,1069,1071,1079,1089,1097,1110,1118,1126,1133,1146,1154,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,23,29,35,42,56,63,74,83,91,99,108,117,127,129,141,148,161,162,176,315,322,328,342,349,360,365,372,382,393,395,405,418,426,430,443,447,604,609,623,630,640,649,652,661,669,678,690,696,708,716,725,736,739,750,758,763,776,786,796,804,809,814,831,838,847,850,859,873,877,884,899,906,916,923,932,937,943,956,966,971,977,985,993,1004,1019,1020,1029,1039,1049,1058,1069,1079,1083,1087,1098,1109,1120,1125,1134,1142,1155,1162,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,30,37,44,59,60,74,80,89,100,102,115,123,132,143,148,155,163,174,314,325,333,339,350,353,362,376,385,392,403,410,420,425,431,439,599,603,617,626,633,636,647,655,662,672,685,686,702,704,717,724,734,740,748,759,764,773,784,796,802,811,816,827,839,844,855,865,868,879,885,898,904,913,924,932,934,943,957,966,970,977,989,999,1008,1017,1024,1031,1044,1047,1057,1067,1071,1083,1089,1104,1107,1118,1123,1138,1141,1150,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,26,36,47,57,67,72,82,92,101,106,119,123,133,138,149,159,162,177,314,321,331,339,351,352,365,373,380,392,395,411,418,423,437,443,600,608,611,623,634,636,650,658,665,674,684,689,700,710,714,722,734,744,754,755,768,772,782,792,805,806,819,829,839,840,851,861,872,881,884,898,907,916,925,928,941,943,954,967,971,983,987,996,1002,1018,1020,1031,1043,1051,1054,1062,1072,1084,1090,1102,1109,1118,1125,1133,1141,1151,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,25,26,39,49,54,66,71,78,90,97,103,117,120,129,144,147,155,166,178,313,325,329,339,345,352,363,370,384,387,400,407,419,425,434,441,598,608,614,621,631,637,651,655,664,676,679,690,702,706,720,721,734,745,749,760,768,773,783,795,804,809,821,824,837,843,848,864,867,882,886,898,900,912,925,931,935,947,957,964,968,983,988,997,1004,1018,1021,1030,1039,1049,1057,1070,1075,1080,1094,1096,1109,1116,1125,1132,1143,1152,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,29,37,49,53,63,69,77,93,100,110,119,125,128,142,152,156,163,178,317,324,331,341,351,358,366,372,384,389,397,406,417,421,432,440,597,606,613,624,633,636,645,660,668,671,685,694,701,709,712,725,732,741,750,757,763,777,782,795,805,814,821,827,838,840,850,865,870,882,883,892,904,911,919,933,940,947,956,965,968,981,993,1001,1010,1016,1027,1031,1043,1052,1054,1069,1074,1084,1093,1099,1106,1117,1127,1136,1139,1151,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,23,31,40,50,57,64,74,77,93,100,108,118,121,128,137,150,161,166,172,317,325,335,343,345,359,362,373,380,391,401,404,416,422,432,443,469,602,617,624,628,639,645,657,662,675,682,693,700,709,712,723,731,744,750,760,770,776,784,792,797,808,820,828,832,845,850,863,870,878,884,897,902,916,923,932,940,948,958,960,976,980,992,995,1008,1012,1019,1030,1040,1051,1056,1066,1078,1085,1093,1102,1104,1115,1127,1131,1143,1154,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,29,34,43,54,65,72,80,88,102,110,115,123,134,142,148,159,162,171,313,323,329,338,347,352,369,376,379,392,396,411,412,425,432,444,597,604,610,624,632,635,649,658,663,677,685,694,696,709,719,724,736,739,751,757,765,777,781,791,798,806,817,826,832,845,851,858,869,877,885,897,900,909,922,929,935,947,954,967,972,978,985,994,1006,1016,1024,1033,1037,1050,1056,1062,1077,1080,1088,1101,1106,1115,1124,1137,1143,1151,1163,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,25,36,42,56,63,73,83,93,101,109,117,124,132,137,145,158,168,172,313,320,333,339,344,352,369,377,382,390,398,410,413,424,435,438,600,601,617,618,628,635,646,658,664,675,682,686,697,703,714,726,731,737,753,756,763,774,784,795,798,809,818,825,838,845,856,857,871,880,888,893,908,912,923,932,942,946,954,964,972,985,989,994,1008,1017,1023,1030,1037,1048,1059,1062,1072,1083,1093,1103,1104,1116,1125,1137,1140,1151,1157,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,32,36,49,51,60,70,79,90,98,102,114,123,134,141,147,155,164,173,179,325,330,335,346,352,369,375,384,389,396,407,413,426,430,446,596,605,615,619,627,636,647,656,667,672,684,689,699,709,716,726,731,741,749,755,768,771,783,795,799,808,816,824,836,847,855,859,868,880,883,896,902,910,923,933,942,946,955,962,976,981,989,1001,1010,1014,1020,1031,1038,1048,1054,1066,1071,1084,1090,1097,1110,1114,1129,1136,1139,1153,1157,1165,1173	1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,21,32,40,50,56,65,72,84,87,99,109,117,121,129,140,148,162,168,175,180,318,327,343,350,357,362,372,383,388,395,410,414,429,430,440,452,601,614,620,627,635,643,652,660,677,686,690,695,708,713,721,732,743,748,762,769,772,786,796,801,811,815,829,838,847,856,859,866,882,889,898,901,910,922,926,937,950,952,963,968,977,987,996,1010,1015,1025,1035,1037,1050,1054,1067,1078,1083,1088,1096,1109,1115,1122,1134,1146,1152,1162,1165,1176	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0
0,14,22,30,40,47,57,67,74,82,87,98,103,111,127,134,140,150,158,165,176,184,322,331,337,344,355,361,376,385,387,396,404,415,426,432,442,598,603,609,620,629,642,651,658,665,671,685,691,702,711,712,728,729,745,747,760,767,774,785,796,802,806,815,826,836,843,850,859,870,874,889,892,904,913,917,926,936,944,954,967,974,983,987,1001,1006,1013,1025,1030,1043,1045,1058,1062,1077,1085,1096,1099,1107,1113,1121,1135,1141,1151,1163,1169	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,12,23,27,39,49,53,64,72,83,87,96,110,113,120,133,143,152,154,168,177,184,321,328,336,346,355,366,375,382,389,402,403,416,426,433,440,598,606,614,621,629,638,644,659,664,675,678,691,702,704,719,725,731,741,751,763,765,778,782,788,802,808,817,825,838,846,856,858,866,882,888,892,906,915,920,929,938,945,955,959,974,981,985,1000,1008,1013,1025,1033,1038,1047,1057,1067,1075,1087,1091,1098,1106,1115,1122,1132,1147,1151,1161,1168	1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,19,33,37,44,57,64,72,84,92,99,108,112,121,136,138,145,161,166,173,183,320,335,337,345,353,368,375,380,387,395,410,415,424,435,442,470,608,617,625,628,640,649,660,668,675,685,688,701,703,720,724,736,743,750,756,767,774,787,793,798,812,820,825,832,841,851,865,869,879,889,894,902,915,922,928,938,946,958,966,973,979,988,997,1008,1016,1020,1029,1036,1047,1053,1067,1073,1086,1088,1101,1106,1114,1124,1134,1140,1153,1161,1169,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,23,25,39,47,58,67,69,81,88,100,105,118,121,131,142,147,159,162,176,180,323,334,339,347,358,363,371,384,394,398,408,418,421,435,438,466,606,615,620,628,635,649,658,665,672,679,690,697,707,719,728,730,743,748,757,763,777,783,795,802,811,816,827,839,840,849,862,872,875,889,895,903,912,925,930,937,947,956,959,970,981,990,1000,1006,1017,1020,1028,1040,1050,1055,1067,1077,1079,1094,1100,1112,1116,1129,1137,1143,1148,1157,1172,1175	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,21,26,37,45,56,68,70,83,90,101,107,113,121,128,140,147,160,167,172,190,320,330,343,344,353,365,376,383,394,399,410,419,425,429,443,600,605,610,621,629,637,649,660,665,676,684,692,695,710,719,725,733,742,753,755,770,775,787,793,797,809,821,824,837,845,855,862,871,881,889,898,901,911,918,932,939,948,953,967,968,978,990,996,1009,1012,1027,1035,1041,1050,1062,1066,1070,1082,1089,1100,1108,1117,1125,1132,1145,1150,1161,1168,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,13,22,31,42,46,57,65,76,82,92,96,106,115,123,131,142,146,161,168,174,201,318,328,339,351,355,368,376,384,389,395,406,420,428,433,439,600,607,616,618,633,641,648,660,665,677,678,688,701,708,718,721,730,744,749,756,769,773,787,796,798,808,816,826,836,842,851,864,872,880,884,893,901,915,923,928,940,946,952,964,976,979,985,997,1007,1015,1022,1035,1040,1052,1053,1070,1074,1080,1089,1099,1106,1120,1122,1130,1140,1149,1158,1164	1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,11,19,34,35,48,53,66,71,80,88,102,106,114,122,128,141,147,157,163,172,313,319,330,340,349,358,363,375,382,391,403,411,417,427,429,444,600,606,614,624,634,635,651,653,662,673,683,687,698,707,718,724,734,737,746,758,766,776,785,795,797,806,820,828,836,846,852,859,874,875,884,897,902,908,920,927,936,949,953,965,975,977,992,1001,1010,1011,1023,1034,1037,1045,1057,1063,1071,1082,1092,1097,1105,1117,1121,1130,1142,1151,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,19,33,40,46,51,64,69,79,90,97,109,114,120,131,137,150,157,168,176,182,321,335,337,345,353,364,372,379,388,398,410,413,427,429,445,596,607,611,620,634,642,646,654,665,672,678,688,695,710,715,725,729,739,753,762,769,777,780,791,799,808,815,826,833,841,854,863,868,878,883,898,907,912,923,932,934,950,958,961,974,983,991,1001,1004,1010,1019,1028,1040,1045,1057,1068,1071,1079,1094,1101,1109,1121,1125,1133,1146,1149,1156,1168	0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,8,18,28,40,50,55,61,76,80,87,98,110,116,124,128,140,145,160,166,177,185,325,332,335,346,355,367,372,386,394,400,409,413,424,430,441,450,602,610,618,635,642,647,653,662,671,685,693,701,710,716,722,737,742,750,757,769,777,788,789,803,810,822,826,838,840,851,862,872,878,887,896,907,911,922,926,934,948,959,960,973,978,988,995,1009,1015,1025,1034,1038,1048,1061,1066,1072,1082,1092,1099,1110,1121,1122,1132,1145,1152,1156,1167,1173	0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
5,11,19,27,41,50,51,63,72,85,93,100,105,111,126,133,140,149,155,165,176,190,326,328,340,345,357,361,369,383,388,402,411,420,421,433,445,597,609,612,618,633,638,645,654,660,676,677,687,696,711,713,721,735,738,751,757,768,772,783,792,797,807,815,828,835,844,851,862,870,875,887,891,907,908,919,930,940,950,957,961,972,980,987,997,1004,1017,1022,1032,1037,1051,1061,1066,1078,1082,1096,1102,1113,1117,1122,1133,1141,1151,1161,1171,1177	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,18,25,40,49,53,66,72,84,93,97,110,115,120,132,143,147,157,168,179,188,324,328,341,351,357,368,374,379,388,396,404,416,421,429,442,600,607,612,624,629,636,646,655,661,669,684,691,699,705,715,724,730,742,747,762,769,776,785,794,800,806,820,822,837,848,849,864,867,879,886,899,900,912,917,932,941,950,955,964,969,981,986,997,1003,1016,1021,1030,1038,1048,1056,1069,1077,1080,1089,1104,1106,1114,1127,1130,1146,1152,1161,1166	1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,13,17,30,36,45,53,65,76,81,90,96,105,111,125,134,144,152,159,170,174,315,323,327,341,350,355,366,372,385,389,400,405,413,421,433,442,596,607,613,619,631,641,645,654,661,674,680,691,699,705,712,728,735,740,746,761,766,778,788,792,797,810,819,827,838,842,851,857,872,881,885,891,906,915,922,927,939,948,956,962,968,977,986,997,1004,1015,1024,1028,1040,1045,1059,1065,1075,1081,1091,1102,1108,1121,1128,1134,1142,1148,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,14,19,28,35,49,55,66,71,80,90,96,107,114,121,131,138,152,155,167,176,186,324,329,338,348,359,365,376,380,388,399,405,415,423,429,440,468,609,616,619,628,642,650,653,667,674,679,691,703,709,712,723,730,744,749,756,768,774,786,794,801,806,817,827,832,840,856,862,867,874,887,892,906,912,917,928,935,949,952,966,970,982,992,998,1006,1018,1026,1035,1040,1051,1061,1062,1078,1084,1093,1101,1108,1116,1130,1136,1144,1147,1158,1169,1176	1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,10,25,31,36,42,51,63,70,82,87,94,108,118,125,129,137,151,160,169,178,313,323,330,341,348,354,362,374,378,388,395,411,419,427,432,443,597,607,617,622,627,636,643,658,662,671,684,688,702,709,714,728,732,743,749,756,769,773,785,792,801,814,822,824,835,840,853,864,870,880,886,895,903,910,923,928,935,946,951,961,969,981,987,998,1005,1017,1021,1028,1044,1046,1057,1064,1077,1086,1088,1102,1107,1116,1124,1138,1146,1149,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,22,34,40,50,57,64,69,84,93,94,108,115,121,132,141,148,158,170,173,316,321,331,341,350,358,362,375,384,390,396,407,420,427,433,441,599,603,616,626,630,643,647,656,664,676,680,691,696,707,716,725,732,742,751,762,768,780,781,791,804,812,819,827,838,841,854,857,868,876,885,899,901,915,918,927,934,945,957,962,971,978,990,995,1007,1012,1027,1033,1037,1052,1059,1063,1078,1079,1095,1100,1109,1115,1129,1133,1144,1149,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,30,37,49,52,62,68,78,87,102,107,117,127,135,144,145,160,168,177,314,320,332,336,350,354,364,375,381,391,396,405,414,425,434,442,449,607,612,618,628,635,646,657,661,675,682,694,698,704,712,722,734,740,747,757,763,779,785,793,799,809,820,824,834,841,853,863,869,878,890,896,906,909,921,933,935,948,957,966,968,982,986,997,1006,1014,1026,1035,1039,1052,1056,1070,1073,1080,1095,1097,1111,1119,1126,1133,1140,1148,1162,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,22,28,42,44,55,67,71,78,87,97,102,117,126,128,142,145,161,168,171,314,318,334,343,350,360,368,371,382,386,400,407,414,426,437,438,596,605,611,624,632,641,646,659,667,677,682,689,702,706,717,728,732,742,747,758,765,777,780,789,805,813,820,827,836,841,855,864,872,880,883,893,905,912,924,933,941,948,953,961,970,978,990,995,1008,1017,1022,1030,1038,1051,1059,1063,1073,1086,1095,1101,1112,1120,1129,1134,1144,1151,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,25,28,39,47,53,67,72,84,91,99,103,111,124,136,142,151,157,169,172,314,326,327,340,348,357,366,374,379,394,399,409,419,424,434,443,599,603,617,623,629,638,650,655,668,673,678,687,700,709,712,726,731,738,754,760,771,772,788,791,804,813,816,824,832,843,856,862,872,877,891,892,903,912,922,930,939,944,955,959,974,983,991,998,1007,1012,1020,1030,1040,1051,1057,1070,1078,1086,1092,1098,1109,1114,1128,1136,1145,1155,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,26,35,46,56,62,74,82,87,101,103,115,125,131,142,145,156,167,175,316,319,335,339,348,355,362,373,379,387,395,411,419,424,429,444,599,601,612,624,627,641,651,653,661,674,680,694,695,704,713,724,732,741,750,758,763,776,784,790,798,812,822,827,832,848,849,864,871,879,886,895,902,911,924,926,940,949,956,963,971,979,985,994,1005,1013,1020,1036,1041,1052,1054,1070,1077,1081,1089,1103,1112,1118,1126,1138,1142,1154,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,27,36,49,58,60,72,80,92,100,103,111,125,130,141,152,159,169,175,314,326,328,336,344,353,369,373,385,395,398,405,416,423,437,439,596,602,610,625,634,636,643,654,661,673,683,692,700,710,713,722,730,739,750,760,765,773,781,794,804,811,816,828,832,840,857,859,869,879,885,897,906,911,920,933,940,949,956,965,974,983,985,994,1007,1012,1026,1034,1043,1047,1058,1067,1075,1079,1092,1101,1106,1115,1126,1134,1145,1149,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,19,33,37,48,55,63,75,84,92,99,102,114,120,133,138,153,160,167,173,318,320,329,342,348,359,362,371,385,387,398,408,416,428,434,445,462,608,612,622,631,640,651,654,665,673,684,692,697,704,714,728,729,739,747,761,768,778,787,796,802,808,819,828,837,847,848,858,869,881,885,891,900,916,924,927,939,942,956,963,970,979,991,1001,1004,1011,1022,1029,1040,1051,1055,1065,1078,1084,1091,1101,1110,1116,1128,1137,1145,1149,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,28,37,50,54,65,71,81,87,96,110,114,124,134,136,146,159,169,171,181,319,332,341,349,354,369,370,380,392,400,410,415,428,436,445,458,608,609,624,635,640,647,655,661,672,680,688,700,709,715,725,731,739,749,756,769,776,780,790,797,807,821,830,832,847,855,865,869,881,883,895,906,913,924,926,935,946,954,966,971,980,987,998,1007,1012,1023,1034,1039,1053,1061,1068,1079,1087,1088,1102,1111,1116,1127,1132,1145,1148,1157,1167,1178	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,12,21,33,36,50,56,66,74,85,86,95,106,111,122,133,139,153,154,167,175,317,322,334,342,347,356,361,375,379,394,401,403,418,427,437,441,454,601,611,624,634,635,651,653,669,670,680,691,699,708,719,727,735,739,746,761,764,776,782,797,799,806,818,825,831,846,853,859,873,877,888,893,905,909,920,931,934,947,953,960,973,983,992,997,1004,1018,1023,1028,1043,1046,1061,1065,1078,1079,1093,1104,1110,1119,1122,1134,1141,1153,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,18,26,35,45,55,66,73,79,85,94,107,112,125,136,139,150,155,162,179,315,323,334,342,345,354,363,371,380,392,396,410,416,421,431,444,600,604,612,625,633,641,649,658,664,674,684,691,695,703,719,721,736,739,747,758,766,778,783,790,803,806,822,824,836,846,849,857,871,878,883,894,906,914,917,928,939,947,956,962,975,978,992,999,1008,1012,1021,1032,1043,1050,1059,1065,1072,1081,1089,1099,1106,1116,1128,1134,1142,1148,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,30,40,48,54,62,73,85,92,99,105,113,126,134,143,145,159,165,177,314,325,329,340,344,355,368,377,383,390,401,411,416,423,433,439,598,604,611,626,627,642,651,659,662,671,685,688,701,708,713,722,735,740,750,756,771,774,787,795,804,813,822,823,835,842,856,860,871,880,886,893,905,914,924,933,940,948,957,965,972,980,987,996,1003,1018,1025,1028,1040,1047,1059,1062,1077,1085,1092,1103,1107,1113,1127,1130,1140,1154,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,25,29,34,45,55,66,76,77,86,97,106,111,123,133,137,145,156,168,176,313,323,332,341,345,352,362,370,378,394,401,406,415,424,437,438,598,609,611,624,633,635,644,654,662,669,685,694,702,707,720,724,733,738,754,756,767,772,784,791,800,808,815,823,832,841,853,861,867,882,883,895,907,911,919,932,934,946,952,962,973,983,988,995,1009,1016,1021,1029,1036,1050,1054,1070,1073,1087,1096,1100,1111,1120,1129,1136,1146,1152,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,26,41,45,57,65,73,83,88,95,107,114,127,134,140,145,158,169,171,192,319,328,341,350,357,361,377,382,387,397,408,413,421,432,438,471,608,612,625,630,635,649,658,661,672,684,687,698,704,719,723,735,739,753,758,765,779,781,794,805,810,814,824,836,846,850,857,873,876,883,896,903,908,921,927,942,947,959,965,970,977,990,997,1004,1017,1022,1032,1038,1047,1060,1067,1074,1085,1089,1097,1112,1113,1128,1136,1142,1151,1163,1168,1177	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,18,27,41,49,57,59,71,79,85,99,104,118,122,128,139,153,158,167,174,314,323,334,337,344,356,366,372,384,389,403,409,417,425,430,447,448,600,617,620,632,641,647,652,662,675,679,693,701,703,719,725,733,742,747,762,770,771,785,791,804,814,820,825,834,843,849,864,873,878,884,894,906,912,923,932,936,942,954,966,970,981,990,1002,1008,1018,1027,1033,1040,1045,1055,1063,1071,1080,1088,1099,1106,1120,1125,1138,1141,1148,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,24,32,40,49,58,66,74,78,92,95,108,114,123,131,144,147,160,168,174,313,322,327,342,350,356,367,377,385,394,397,405,418,428,432,444,447,605,611,621,629,642,649,654,665,677,682,690,702,708,720,721,732,739,752,754,763,777,784,793,802,811,820,823,831,841,853,860,867,874,885,898,906,913,917,927,940,945,958,965,976,977,985,1000,1007,1014,1019,1028,1041,1047,1060,1064,1076,1084,1087,1100,1110,1114,1129,1138,1141,1152,1161,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,27,40,46,53,65,76,78,92,98,106,115,123,132,144,146,162,165,174,314,324,331,339,349,353,365,374,381,388,395,405,418,421,437,438,462,602,610,623,632,638,651,656,666,670,684,694,696,709,713,728,734,743,749,762,771,776,782,789,803,805,820,823,835,846,851,863,873,878,888,896,902,913,922,928,942,943,955,968,975,982,990,998,1010,1017,1027,1033,1040,1049,1059,1069,1071,1084,1094,1102,1106,1121,1123,1137,1141,1155,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,28,35,42,52,62,74,78,90,98,104,112,127,129,143,147,155,168,176,316,321,330,336,350,359,365,369,378,392,402,409,412,424,432,444,599,606,611,625,633,639,646,659,666,672,679,689,695,707,716,727,735,742,747,757,763,780,786,794,803,807,820,830,833,848,853,857,870,877,888,899,903,915,917,933,939,944,957,960,972,984,990,999,1002,1018,1023,1033,1042,1046,1056,1062,1077,1085,1091,1100,1109,1118,1130,1134,1140,1148,1156,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,22,25,37,47,54,63,74,76,87,98,104,115,123,136,142,149,157,164,172,314,325,334,338,348,355,368,372,378,390,402,408,415,423,437,442,600,602,613,620,629,635,649,654,667,670,685,688,701,703,718,725,731,745,748,758,768,775,783,793,805,811,819,824,838,844,855,860,866,874,885,896,906,916,924,931,936,951,958,962,971,978,988,1001,1007,1011,1021,1031,1038,1045,1056,1062,1077,1087,1092,1097,1112,1113,1124,1131,1144,1155,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,17,26,42,43,59,60,76,84,88,95,108,116,123,130,138,149,158,170,174,314,323,329,341,349,356,366,373,383,394,397,410,412,424,433,441,596,602,611,621,634,642,650,660,665,673,679,694,698,703,720,725,737,744,746,760,768,772,785,794,801,810,820,823,837,841,854,857,873,882,883,897,900,911,925,929,936,943,957,963,969,981,991,1000,1010,1015,1021,1031,1037,1045,1054,1070,1072,1087,1089,1101,1112,1119,1123,1131,1146,1153,1163,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,30,37,45,58,62,72,80,90,98,106,114,122,130,137,146,155,168,171,313,319,331,339,348,358,364,370,380,390,395,411,416,423,433,446,448,604,615,622,633,636,645,660,661,675,684,693,695,709,714,723,736,745,752,760,766,775,782,797,802,811,820,827,831,842,856,858,869,877,885,898,907,912,919,932,936,942,955,960,976,981,993,1000,1005,1017,1025,1035,1044,1052,1060,1069,1076,1081,1093,1096,1106,1115,1124,1135,1140,1154,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,25,33,38,49,53,59,68,79,93,99,108,113,122,129,140,148,161,164,177,316,321,334,339,348,360,364,375,382,387,397,404,418,421,433,441,447,607,609,621,632,638,644,658,665,673,678,689,698,707,717,727,734,743,753,760,764,776,788,790,800,811,818,828,837,845,853,860,869,875,887,895,900,910,918,929,935,946,957,964,971,979,992,998,1005,1013,1027,1035,1043,1048,1061,1070,1076,1085,1092,1100,1112,1115,1124,1135,1141,1150,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,27,39,47,58,64,74,80,90,101,103,117,123,130,140,147,159,163,175,314,318,331,343,351,360,367,374,385,391,399,406,416,428,432,440,457,606,614,620,630,637,650,654,666,675,679,693,703,707,715,726,729,742,751,763,765,774,782,788,803,811,822,828,832,843,848,864,869,875,883,896,904,914,920,933,938,948,955,967,968,977,986,1000,1006,1013,1020,1029,1036,1049,1054,1070,1074,1086,1091,1098,1109,1117,1127,1138,1146,1154,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,19,27,38,46,54,61,69,78,92,97,107,117,125,135,139,150,155,162,177,313,319,334,339,351,357,364,369,379,393,401,409,416,423,433,444,460,601,616,623,628,636,650,653,663,671,682,687,700,708,712,726,731,744,754,762,770,773,786,790,799,807,815,824,833,841,850,861,871,877,886,897,905,909,924,927,938,945,952,962,973,979,985,1001,1002,1012,1025,1035,1042,1047,1057,1066,1078,1086,1088,1100,1112,1119,1128,1131,1144,1154,1164,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,28,41,43,57,66,68,81,93,95,103,115,122,130,137,152,161,167,173,317,321,327,336,349,357,362,372,379,388,401,406,413,427,435,440,599,608,614,623,628,642,650,657,666,671,685,686,696,711,715,721,732,745,747,758,766,774,788,796,803,808,819,824,837,847,855,865,869,876,889,896,902,916,918,926,941,950,959,960,968,985,987,1001,1009,1011,1027,1030,1040,1045,1059,1070,1074,1087,1094,1099,1106,1121,1126,1135,1145,1154,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,26,35,45,56,63,73,82,88,98,109,117,123,129,144,153,159,165,177,313,318,332,336,345,353,369,375,385,389,396,406,418,421,433,444,450,602,611,619,629,640,646,653,664,671,681,693,699,704,712,724,734,741,752,762,763,776,785,789,805,811,816,830,837,846,852,863,867,875,887,897,904,910,920,926,941,942,956,964,974,978,986,997,1003,1017,1022,1032,1041,1050,1055,1063,1076,1086,1092,1103,1105,1120,1128,1137,1139,1148,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,29,38,44,58,63,72,80,87,100,102,113,127,135,139,152,153,165,178,179,318,330,339,344,356,366,372,383,388,403,405,414,423,434,445,599,605,614,624,634,640,648,654,667,672,683,687,695,710,719,728,736,743,750,760,764,773,787,795,801,810,816,830,839,841,849,862,873,876,882,897,906,911,918,929,938,945,952,965,970,977,986,998,1006,1015,1022,1028,1039,1047,1055,1069,1071,1084,1095,1097,1109,1119,1126,1131,1143,1150,1161,1169	1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,17,25,42,44,56,60,71,79,89,100,106,111,122,134,139,146,158,169,174,184,326,332,335,348,358,361,375,379,390,402,410,419,428,431,442,598,606,611,619,633,636,644,659,663,673,678,689,701,704,715,727,736,740,749,757,766,775,787,797,805,811,816,824,839,847,853,860,871,880,885,896,902,909,921,933,940,950,958,966,968,980,991,997,1007,1016,1026,1031,1043,1052,1061,1069,1070,1082,1087,1103,1106,1115,1130,1132,1147,1155,1157,1166	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,24,33,34,44,55,66,69,76,90,95,103,113,127,135,145,148,154,167,171,186,321,328,341,350,356,363,371,380,394,403,409,419,424,435,438,450,604,616,620,626,637,652,657,667,673,682,686,702,711,714,724,734,738,754,757,770,776,788,794,805,808,814,824,834,841,852,861,870,882,890,896,907,909,924,933,939,949,959,965,969,978,990,1001,1009,1018,1027,1028,1041,1050,1061,1063,1074,1086,1089,1100,1111,1117,1128,1131,1144,1149,1160,1170	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,14,22,30,37,51,55,66,76,80,93,97,109,113,124,131,139,149,156,170,178,180,322,328,338,344,353,363,373,383,393,397,410,414,422,437,443,453,601,617,623,626,638,648,658,667,670,684,692,698,705,717,724,736,739,753,760,770,776,782,790,803,810,820,824,837,844,849,865,868,874,888,893,900,915,923,933,939,943,956,963,974,978,990,993,1002,1013,1026,1035,1040,1051,1060,1065,1073,1080,1088,1099,1106,1114,1126,1136,1145,1151,1158,1165,1178	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,16,22,32,38,50,51,66,76,81,87,102,107,112,127,134,144,145,161,167,174,223,325,334,340,345,354,366,371,385,390,401,411,417,423,431,446,468,605,610,622,635,640,649,655,662,672,683,694,695,710,717,724,733,738,746,758,765,778,785,794,798,808,820,827,837,843,854,858,868,880,885,895,903,908,923,927,939,948,953,967,969,979,991,994,1004,1014,1026,1029,1042,1051,1061,1067,1076,1086,1091,1104,1106,1120,1123,1132,1144,1150,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,12,25,29,36,44,51,62,75,81,88,98,108,113,121,132,136,149,159,166,172,206,322,334,340,346,354,367,374,382,390,395,404,416,421,432,442,597,600,612,619,631,638,647,657,666,673,679,694,702,710,717,723,730,737,754,755,768,775,787,793,800,807,816,830,835,841,855,863,871,880,889,898,904,915,922,929,940,946,953,961,971,983,989,996,1009,1016,1024,1028,1043,1052,1058,1068,1078,1081,1093,1097,1106,1116,1126,1136,1143,1153,1164,1167,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,15,22,30,41,49,53,66,75,83,87,100,107,116,121,129,140,147,157,166,176,186,320,329,342,346,356,361,370,385,393,398,407,418,421,432,441,596,606,613,618,635,642,645,655,662,671,685,689,698,710,714,725,736,739,750,756,767,772,781,792,805,808,815,829,838,844,855,862,866,880,886,897,900,914,921,925,942,950,954,960,972,981,988,995,1007,1012,1024,1033,1036,1046,1060,1066,1074,1079,1089,1099,1105,1118,1127,1138,1143,1147,1156,1166,1173	0,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,16,17,28,35,48,53,60,70,81,85,98,109,117,124,132,138,150,160,166,173,180,319,333,338,347,360,365,371,380,393,399,409,416,424,435,442,597,602,609,620,626,637,648,652,668,673,681,694,697,710,720,722,729,745,747,757,768,771,784,792,804,812,817,830,839,842,851,857,870,880,882,896,903,908,917,927,941,947,951,962,970,978,988,1000,1006,1014,1027,1036,1044,1050,1059,1068,1071,1087,1096,1103,1113,1119,1129,1135,1144,1148,1163,1171,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,19,32,34,44,57,63,75,80,88,97,109,119,120,131,136,153,154,165,172,317,322,327,341,346,357,365,371,378,387,401,403,418,426,433,440,599,606,616,622,628,641,651,653,667,676,684,687,696,710,718,723,731,741,746,762,765,774,782,792,800,807,814,830,837,847,850,862,871,882,889,892,907,909,924,926,940,949,952,960,970,980,985,994,1007,1011,1027,1032,1037,1045,1059,1067,1077,1085,1089,1102,1110,1120,1127,1135,1140,1154,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,25,32,42,47,56,62,73,80,88,100,110,118,122,134,144,148,155,162,170,183,322,329,336,348,355,361,375,385,386,397,407,418,425,434,445,599,604,610,624,632,638,644,654,661,676,679,687,695,703,717,723,730,743,753,759,766,775,787,795,804,807,817,825,832,847,857,858,873,876,888,895,905,908,922,931,938,945,952,964,971,980,985,996,1010,1016,1024,1027,1040,1052,1053,1069,1074,1083,1088,1098,1112,1121,1126,1134,1147,1151,1156,1167,1176	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,20,27,40,44,57,65,70,82,89,101,107,117,120,135,138,147,160,169,178,190,318,333,338,347,356,369,370,379,388,396,408,412,428,434,443,600,607,612,618,633,635,645,652,669,676,685,689,701,706,716,721,735,743,751,761,769,778,787,794,800,814,816,831,834,846,851,860,871,879,883,896,900,909,918,925,934,943,957,964,971,983,989,996,1007,1011,1025,1030,1041,1052,1055,1064,1073,1082,1090,1103,1109,1115,1127,1138,1147,1149,1157,1170,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,13,18,33,35,45,53,66,75,80,89,97,110,111,123,131,143,147,154,164,174,313,319,332,342,346,353,367,370,380,388,395,409,413,425,430,443,597,603,612,621,631,638,650,655,664,670,685,692,703,705,717,728,733,739,754,757,770,772,785,796,802,814,821,829,838,846,856,860,871,880,890,896,900,912,922,925,934,950,953,963,975,985,988,1001,1002,1016,1019,1034,1040,1053,1057,1064,1071,1084,1089,1096,1106,1113,1125,1135,1142,1150,1159,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,21,28,35,49,51,66,69,78,91,97,110,115,123,131,139,146,161,167,173,189,326,331,343,346,356,361,372,382,388,395,410,419,421,436,438,598,601,610,623,632,638,647,654,667,673,685,688,702,709,713,721,731,745,753,762,764,779,785,791,801,809,821,824,836,842,851,857,870,875,887,891,900,910,918,925,934,948,954,965,971,984,992,995,1007,1011,1021,1034,1040,1045,1059,1065,1075,1087,1095,1099,1110,1113,1125,1135,1146,1152,1162,1169,1177	1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,18,27,36,43,53,63,72,80,88,97,104,118,121,130,141,150,155,170,171,181,324,333,337,350,355,366,373,384,390,402,403,413,426,436,440,462,603,617,624,634,639,651,654,666,675,683,689,698,709,712,726,736,740,753,759,770,774,788,796,800,806,821,829,832,842,855,858,867,878,886,896,902,908,925,926,934,946,955,960,975,979,990,998,1009,1018,1021,1030,1043,1051,1058,1064,1077,1079,1095,1098,1111,1113,1122,1135,1146,1154,1163,1172,1174	0,1,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,20,28,40,47,56,65,74,85,93,98,102,113,120,130,143,146,158,164,177,185,319,333,337,344,359,365,375,378,393,400,408,416,427,435,443,447,603,613,625,633,639,650,653,660,676,680,693,700,708,712,726,737,741,754,756,765,780,781,793,798,809,814,828,836,845,856,864,872,880,885,897,905,915,922,927,936,942,956,965,970,981,989,999,1005,1014,1027,1034,1040,1049,1061,1064,1078,1081,1091,1096,1112,1115,1129,1136,1139,1152,1160,1168,1178	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,14,23,29,36,47,53,59,74,78,87,95,105,112,122,134,145,152,159,167,171,315,326,334,342,347,355,366,370,379,391,398,409,413,422,436,441,599,602,611,618,626,643,649,654,660,677,681,686,698,703,717,727,734,744,747,758,765,773,787,794,801,808,816,826,832,841,849,863,865,879,884,895,902,912,918,927,939,946,955,965,975,978,987,999,1008,1017,1023,1033,1041,1053,1058,1067,1078,1083,1091,1100,1106,1116,1128,1131,1143,1149,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,27,35,43,58,67,72,77,89,101,108,111,121,131,140,147,158,167,174,313,326,328,343,349,359,364,372,381,393,398,411,412,426,434,445,600,604,615,624,632,636,647,653,666,670,680,687,697,704,720,721,735,739,752,760,767,779,786,794,799,808,820,824,833,840,849,859,868,880,889,891,906,915,921,925,936,948,956,964,972,978,989,1000,1008,1015,1021,1035,1038,1052,1060,1065,1071,1087,1094,1100,1108,1115,1127,1136,1140,1151,1159,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,20,33,41,50,57,67,76,82,88,94,106,117,125,130,143,151,158,165,172,313,323,334,342,347,353,364,373,380,394,398,407,420,429,437,438,596,604,609,622,627,639,646,656,664,673,684,694,701,706,713,721,736,738,750,756,765,779,786,790,800,811,821,827,838,841,848,862,874,876,888,897,904,910,919,933,938,945,957,967,976,977,992,997,1007,1018,1021,1030,1042,1048,1059,1067,1071,1080,1090,1104,1108,1117,1129,1130,1143,1153,1164,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,33,41,49,55,64,70,81,93,98,106,111,123,132,137,145,158,164,173,315,320,332,341,351,360,364,370,384,394,398,410,415,427,433,438,470,604,611,618,632,642,652,654,668,673,682,691,700,707,718,721,737,740,749,758,765,772,783,792,800,807,821,828,837,848,855,861,870,879,886,898,906,911,918,926,941,948,952,968,974,983,986,994,1006,1010,1024,1028,1039,1047,1060,1066,1077,1083,1090,1102,1108,1117,1127,1132,1145,1149,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,31,39,47,52,63,68,79,93,94,105,115,126,130,141,152,155,167,175,314,324,326,341,348,354,369,374,378,388,402,411,416,422,433,441,470,606,614,620,631,642,647,656,664,675,682,691,696,711,719,725,737,738,748,759,768,775,780,789,799,812,817,825,840,842,848,864,866,880,889,893,908,914,924,932,942,950,956,966,970,978,986,998,1009,1014,1026,1030,1044,1046,1061,1062,1077,1086,1090,1100,1109,1114,1126,1135,1144,1148,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,33,38,46,55,62,68,82,91,95,109,111,125,133,139,150,160,165,178,318,326,333,341,348,356,368,373,382,394,399,403,415,422,432,444,597,608,614,619,628,640,652,655,661,671,682,689,696,705,712,725,735,741,751,761,770,777,784,792,805,807,816,827,837,846,855,865,867,882,885,895,907,913,917,929,940,945,958,967,969,984,990,997,1010,1015,1022,1033,1038,1047,1060,1067,1073,1087,1093,1098,1105,1114,1122,1137,1143,1155,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,25,34,47,52,60,74,82,85,101,103,116,126,132,137,147,155,168,174,313,326,333,336,346,356,369,372,384,390,397,411,413,428,431,439,466,601,613,618,632,635,651,653,664,672,683,689,700,711,713,727,737,746,751,760,770,777,787,795,797,811,816,825,833,845,849,861,872,879,890,898,900,914,918,930,941,946,953,960,973,981,989,995,1007,1016,1024,1033,1039,1050,1055,1064,1073,1086,1093,1099,1106,1116,1124,1134,1139,1148,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,31,36,49,54,62,73,78,88,96,107,115,122,134,142,150,158,165,171,316,321,330,335,350,356,365,373,381,393,402,409,419,423,430,441,598,605,614,620,628,637,645,652,668,669,683,693,698,704,712,725,736,741,747,760,770,778,788,797,804,812,819,824,839,841,856,865,873,880,889,894,899,910,921,929,934,950,954,963,969,983,986,997,1009,1017,1022,1036,1037,1050,1055,1063,1078,1079,1092,1101,1108,1121,1124,1136,1144,1152,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,32,38,46,57,62,71,83,86,100,104,116,121,131,142,151,154,163,171,193,324,334,342,350,353,368,374,378,389,396,405,413,427,437,443,600,602,617,619,633,643,646,656,669,672,686,689,696,703,712,721,729,738,754,761,769,774,783,790,798,808,818,831,836,842,849,862,869,874,885,895,907,910,920,929,941,945,958,963,973,981,986,999,1007,1012,1027,1033,1044,1051,1059,1064,1077,1081,1095,1100,1105,1113,1123,1133,1144,1150,1160,1171	0,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,8,22,33,36,45,56,61,69,79,86,95,105,112,124,136,144,146,154,170,177,317,318,332,341,344,354,362,370,381,390,400,410,418,428,430,443,469,602,612,622,629,636,643,655,664,671,681,690,701,711,717,727,734,738,746,756,765,772,788,792,801,809,819,825,837,845,852,862,871,875,890,895,904,914,923,933,939,947,951,966,974,985,987,995,1008,1017,1022,1028,1037,1053,1060,1066,1075,1079,1092,1099,1108,1113,1129,1135,1145,1149,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,26,39,49,55,62,68,82,88,100,109,111,121,130,143,146,159,170,176,313,319,334,338,344,352,369,372,381,391,402,404,416,427,434,447,461,604,616,623,629,640,645,654,663,672,683,692,702,709,720,727,732,738,747,759,765,777,783,793,805,808,822,825,838,843,853,862,872,878,886,893,905,916,923,931,942,944,953,960,973,982,990,994,1006,1015,1020,1033,1037,1050,1053,1064,1078,1081,1089,1100,1111,1118,1123,1130,1142,1156,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,33,38,47,51,59,69,78,92,94,106,114,122,132,138,145,156,170,174,316,322,333,342,350,358,363,371,385,390,396,407,419,423,436,440,597,600,616,622,627,642,649,653,666,674,685,693,695,708,718,721,729,745,752,761,765,775,784,790,800,813,818,823,838,842,851,863,866,880,886,895,900,914,924,926,942,948,957,967,973,984,987,996,1002,1016,1025,1033,1044,1046,1055,1063,1078,1080,1092,1100,1106,1117,1129,1135,1139,1147,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,32,42,48,54,65,74,81,90,94,105,115,125,130,144,152,155,167,176,316,325,333,335,345,360,363,374,378,387,402,411,416,423,433,445,448,601,616,620,626,635,645,656,662,672,684,689,695,706,717,721,734,744,754,761,771,772,786,790,801,811,820,824,839,844,856,864,867,877,886,898,904,911,922,926,937,943,956,960,970,980,985,1002,1005,1011,1025,1034,1043,1046,1060,1065,1074,1082,1092,1098,1113,1114,1125,1135,1145,1155,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,27,38,44,53,60,76,79,90,100,106,112,121,134,144,153,161,165,173,197,326,330,340,347,359,362,372,384,393,402,406,413,429,433,440,599,602,617,624,630,640,650,656,665,677,682,688,696,710,719,720,731,745,753,755,771,778,783,796,797,812,820,825,833,841,848,857,872,879,884,891,901,915,923,930,934,943,957,968,973,984,987,995,1003,1018,1022,1032,1037,1052,1057,1066,1074,1083,1094,1103,1108,1114,1126,1134,1143,1152,1158,1169,1173	0,0,1,1,1,1,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,21,28,36,50,55,68,71,80,90,97,109,115,124,134,138,151,157,163,176,316,325,331,337,350,359,364,375,381,388,398,408,415,422,436,440,465,601,613,625,633,640,644,653,668,670,681,688,702,705,718,723,731,744,751,757,764,773,781,791,801,810,817,828,835,844,849,857,873,882,883,897,902,916,922,926,935,947,952,960,974,981,985,997,1003,1018,1025,1028,1036,1048,1057,1064,1077,1080,1092,1103,1111,1117,1124,1135,1145,1150,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,20,30,39,46,52,66,76,83,88,100,106,115,121,133,143,146,160,166,176,315,326,334,342,345,353,365,376,379,388,400,408,419,421,432,438,596,607,610,626,633,636,645,655,666,677,686,692,700,707,712,724,733,737,749,758,769,777,786,796,797,811,816,824,834,847,855,865,868,880,886,895,907,911,923,926,934,944,954,967,973,982,992,996,1007,1011,1024,1034,1044,1046,1057,1069,1077,1086,1093,1101,1110,1120,1125,1138,1145,1150,1160,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,22,27,40,45,56,62,72,84,85,97,106,117,128,132,142,147,159,170,171,314,324,330,336,345,360,366,377,382,392,399,405,416,429,432,439,600,608,609,620,630,640,647,659,669,670,679,689,701,710,713,727,730,739,754,760,764,772,783,796,798,806,818,830,833,845,853,857,868,878,891,893,904,908,921,928,939,948,955,966,968,979,986,995,1004,1013,1019,1029,1038,1052,1059,1064,1075,1083,1090,1101,1108,1118,1129,1137,1140,1154,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,23,32,34,47,51,66,69,78,92,96,103,113,125,135,140,151,156,169,178,317,326,331,337,344,352,368,374,378,390,398,406,413,421,434,441,599,604,614,624,626,643,650,658,668,675,684,689,695,704,714,723,729,743,752,762,763,772,781,797,802,810,816,825,838,847,850,860,867,878,886,893,906,910,919,932,941,944,952,961,971,983,992,997,1006,1014,1020,1031,1040,1053,1056,1068,1071,1085,1093,1096,1107,1121,1127,1134,1139,1152,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,19,30,37,47,52,63,69,83,85,102,103,119,121,132,141,150,158,162,173,318,321,327,339,349,358,362,372,382,390,403,411,415,426,432,438,459,602,612,619,632,640,651,654,661,675,684,689,698,708,719,721,733,742,750,756,766,772,786,796,801,807,820,829,832,846,851,859,867,875,884,893,904,914,920,933,937,945,956,967,968,984,988,998,1005,1015,1024,1033,1037,1048,1055,1064,1071,1081,1094,1102,1107,1119,1128,1136,1144,1153,1157,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,19,27,38,43,55,67,70,81,87,94,108,116,127,128,144,150,160,164,175,317,325,333,336,350,358,364,378,381,394,402,409,416,426,432,446,469,601,616,618,630,641,644,656,663,669,680,691,697,708,716,722,731,742,746,762,768,774,781,797,798,807,820,828,839,844,850,863,871,876,885,896,902,912,924,930,936,949,956,965,971,983,992,1001,1010,1012,1026,1034,1039,1047,1057,1067,1076,1083,1090,1100,1113,1116,1129,1131,1140,1154,1162,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,31,34,45,51,63,68,83,86,100,109,114,120,134,144,150,154,165,173,314,326,328,343,346,359,368,376,380,390,398,408,416,426,436,438,600,605,616,626,632,635,651,653,667,676,684,694,699,711,715,724,734,741,746,756,766,779,786,790,797,806,819,830,832,848,856,860,871,880,891,893,905,908,923,929,940,947,953,960,974,981,987,999,1006,1016,1023,1029,1044,1050,1059,1069,1072,1086,1090,1098,1107,1119,1129,1133,1139,1152,1158,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,19,28,34,43,51,66,70,80,88,94,110,113,126,132,140,151,156,162,174,317,318,327,337,349,356,364,375,383,388,402,408,420,424,434,442,599,604,612,622,633,635,647,657,665,674,683,693,696,708,714,726,736,737,751,761,769,779,782,792,802,809,816,830,837,841,856,861,865,876,884,899,904,915,918,932,936,947,955,960,972,985,988,1001,1003,1015,1027,1033,1037,1051,1055,1064,1077,1085,1092,1103,1110,1120,1130,1133,1147,1155,1159,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,33,34,43,52,67,70,84,92,95,103,113,121,133,143,147,157,166,172,313,321,329,340,351,355,366,370,384,387,403,409,417,425,437,438,599,604,616,624,629,639,645,659,664,676,684,691,703,706,716,722,729,741,748,754,769,775,786,792,800,811,820,830,838,844,854,859,873,882,884,891,907,915,922,933,940,942,959,962,969,978,989,996,1009,1011,1025,1029,1043,1050,1059,1068,1077,1081,1095,1103,1106,1114,1129,1130,1144,1150,1156,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,27,35,46,54,60,72,77,92,98,103,113,122,133,138,151,154,166,177,317,321,331,341,349,356,366,370,379,394,400,405,415,421,432,447,596,601,612,619,630,641,644,659,664,670,680,689,696,710,717,721,736,742,747,757,770,775,788,791,797,813,816,826,834,840,852,864,871,878,886,897,905,911,922,926,940,947,952,959,975,979,990,999,1005,1014,1025,1029,1040,1048,1056,1062,1074,1079,1096,1102,1106,1116,1129,1133,1143,1152,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,19,26,35,43,57,68,69,79,92,94,103,113,122,129,144,147,159,163,173,318,321,334,343,348,354,365,378,383,393,403,407,415,421,431,444,596,605,610,626,629,636,649,658,667,676,683,688,696,711,713,722,732,742,749,757,770,778,785,793,805,807,815,826,834,844,848,860,869,874,886,894,907,908,921,930,940,943,951,964,975,980,989,997,1009,1013,1023,1030,1044,1045,1061,1067,1076,1079,1089,1097,1110,1119,1129,1132,1143,1150,1156,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,33,41,46,54,60,69,78,88,96,109,119,127,130,144,151,162,167,171,317,321,334,340,346,359,363,374,385,387,403,409,415,420,430,441,598,602,616,623,626,642,644,653,667,670,682,690,699,709,717,727,731,741,748,756,768,776,783,791,804,811,816,826,838,844,854,864,866,874,887,893,900,908,919,927,941,944,958,961,970,976,989,997,1009,1018,1019,1033,1042,1045,1056,1062,1078,1087,1090,1099,1110,1116,1127,1131,1139,1153,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,31,39,50,51,62,74,81,93,102,109,116,120,134,144,149,158,169,171,180,324,327,341,351,353,368,370,385,386,403,408,419,424,431,445,458,607,610,625,634,641,645,653,663,677,681,692,700,711,720,725,735,741,751,757,770,772,787,789,799,814,821,830,837,845,852,862,866,878,884,892,905,912,920,930,937,947,951,962,975,981,991,994,1002,1014,1023,1030,1044,1051,1055,1068,1077,1081,1092,1102,1107,1120,1128,1133,1140,1149,1158,1170,1173	0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,17,31,41,47,53,63,71,82,89,96,102,112,125,132,143,151,155,169,176,187,325,334,341,349,357,363,377,378,392,396,403,418,424,435,441,462,603,617,621,633,641,646,657,666,673,678,692,702,706,714,727,734,741,754,757,763,774,783,792,803,813,816,829,837,847,851,861,873,882,887,893,903,911,917,929,940,945,955,967,971,985,989,1001,1010,1017,1026,1032,1041,1046,1059,1064,1074,1081,1095,1098,1112,1121,1124,1134,1143,1151,1156,1172,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,17,32,41,49,58,65,70,80,91,95,107,112,123,133,141,150,158,167,174,184,325,326,338,346,358,365,378,385,392,395,405,418,425,434,441,453,606,610,618,632,641,648,654,662,674,679,690,700,708,716,725,737,744,747,762,764,776,780,792,797,809,815,829,835,844,855,857,865,879,884,898,906,916,919,931,939,949,957,964,971,977,993,996,1002,1011,1022,1035,1040,1045,1056,1062,1072,1080,1093,1097,1105,1120,1129,1135,1144,1155,1163,1169,1178	1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,20,26,41,43,57,68,72,83,93,100,102,114,119,130,138,152,159,167,177,194,321,333,342,348,352,361,376,380,391,396,410,419,428,436,442,450,604,613,618,628,637,649,659,669,672,678,688,699,711,715,722,732,740,747,762,768,776,783,790,800,813,816,827,835,846,851,864,866,879,889,892,899,910,925,928,935,945,951,962,974,981,993,1001,1003,1018,1020,1033,1040,1051,1060,1070,1078,1081,1088,1100,1112,1120,1129,1132,1146,1152,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,20,27,34,47,58,61,71,81,89,102,104,117,123,128,141,149,158,163,178,183,325,333,341,344,354,368,374,380,391,399,405,413,426,430,443,600,607,613,624,630,642,649,658,666,670,677,686,703,704,716,722,732,742,746,759,768,774,781,790,801,806,822,830,832,843,849,857,869,874,886,891,900,915,922,932,940,946,953,961,968,979,990,997,1004,1011,1027,1033,1041,1050,1055,1067,1075,1080,1090,1100,1111,1116,1128,1132,1140,1148,1157,1170	1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,12,20,28,41,45,54,62,73,83,85,102,107,111,122,136,141,148,160,163,178,318,326,328,336,348,355,363,378,383,391,400,409,414,424,433,443,453,601,612,624,630,639,649,653,668,672,685,688,695,703,714,722,734,737,753,761,766,779,785,793,798,813,822,825,838,848,850,857,869,874,889,894,906,911,921,930,941,947,952,965,968,981,985,994,1010,1012,1024,1034,1037,1047,1053,1063,1073,1084,1089,1099,1108,1117,1126,1135,1142,1153,1158,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,24,25,38,43,52,62,76,79,85,94,106,117,123,131,136,149,160,166,172,185,324,330,342,345,354,368,371,380,394,396,406,412,423,432,446,468,609,614,621,634,638,645,655,663,677,686,690,700,704,718,722,733,741,746,756,768,773,784,789,804,809,820,825,835,845,852,858,871,881,884,898,904,915,919,933,937,950,951,965,974,980,986,1002,1006,1011,1026,1034,1044,1050,1056,1065,1074,1080,1088,1102,1105,1116,1126,1133,1142,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,24,27,37,48,58,66,72,82,86,97,110,114,125,133,140,151,154,167,176,192,321,327,338,345,359,362,370,381,393,400,408,415,425,436,440,597,606,616,622,627,642,651,657,666,670,681,687,700,706,717,723,733,739,752,759,763,773,788,789,805,809,818,824,838,844,850,861,867,876,888,896,903,911,922,932,939,949,958,959,969,984,991,996,1008,1015,1020,1031,1043,1051,1057,1065,1076,1083,1093,1101,1107,1121,1122,1133,1145,1148,1157,1165,1175	1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
1,12,22,25,35,45,56,65,69,84,86,98,109,113,126,129,142,150,158,167,174,314,325,331,335,346,355,367,375,380,387,400,409,415,421,431,445,598,602,615,618,629,637,643,658,662,670,683,691,700,703,717,724,734,738,749,760,769,776,785,790,804,812,818,826,836,845,857,858,872,877,890,897,906,916,924,929,941,944,957,965,968,980,986,1001,1005,1017,1027,1029,1044,1048,1059,1062,1078,1082,1094,1099,1108,1115,1121,1137,1146,1153,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,27,36,48,51,64,75,80,92,98,108,117,127,133,136,146,160,167,175,180,322,333,342,346,356,361,369,386,394,402,408,412,426,429,439,598,607,609,620,630,638,650,655,661,674,680,694,697,703,715,723,736,741,749,761,770,774,780,791,801,808,822,826,839,846,851,857,865,875,885,895,904,912,918,930,939,944,956,964,970,981,987,1002,1007,1014,1020,1029,1041,1050,1057,1065,1071,1082,1093,1097,1112,1117,1124,1138,1139,1151,1162,1168,1177	1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,9,22,27,35,45,59,62,76,83,92,100,109,112,122,130,139,149,156,165,179,180,325,330,339,351,353,363,377,380,393,399,411,414,420,437,439,596,604,611,620,628,641,646,652,666,676,678,690,699,708,720,728,737,738,747,761,767,775,782,791,801,811,818,823,836,843,853,860,866,878,887,894,901,913,922,931,938,945,957,964,972,977,986,1001,1009,1011,1025,1035,1036,1045,1056,1063,1078,1080,1093,1102,1107,1119,1123,1131,1146,1152,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0
1,12,17,28,35,44,54,66,71,85,86,102,109,111,127,130,137,150,161,163,179,189,321,332,342,349,360,367,377,379,390,399,409,414,427,430,442,463,607,615,618,630,639,646,659,663,670,682,688,698,706,720,727,734,743,750,759,768,774,786,793,798,808,816,828,831,840,852,859,870,882,886,899,902,909,920,926,938,950,956,964,968,982,992,997,1003,1016,1025,1034,1036,1049,1061,1069,1075,1079,1094,1103,1111,1117,1124,1130,1140,1153,1157,1168,1173	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
2,9,25,33,39,42,59,67,70,81,93,98,107,117,122,130,140,153,159,164,172,191,320,334,339,349,360,367,371,378,395,398,408,418,427,434,444,469,604,612,624,628,640,650,657,665,671,679,694,697,711,712,726,731,742,749,761,770,779,782,790,800,812,822,824,839,841,855,857,871,876,886,895,902,916,923,931,936,947,954,960,971,982,987,998,1007,1018,1024,1036,1039,1051,1061,1062,1077,1079,1089,1097,1111,1115,1128,1130,1142,1150,1157,1169,1178	0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
6,10,22,31,37,47,53,62,73,79,86,95,102,113,122,133,137,149,154,162,172,187,321,331,340,344,353,368,371,383,394,401,403,414,421,436,438,468,601,611,622,626,643,648,654,664,677,679,693,701,709,714,727,732,746,750,758,764,774,781,793,803,809,820,831,836,844,852,858,867,880,889,897,907,910,918,926,938,945,953,960,974,984,992,997,1009,1018,1025,1031,1041,1051,1055,1066,1072,1080,1089,1099,1108,1118,1130,1131,1140,1151,1156,1172,1178	1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,21,27,40,48,59,62,71,80,89,100,105,116,123,132,136,148,157,170,171,187,320,333,337,350,355,368,377,378,392,400,405,419,425,436,439,451,605,610,620,631,639,644,659,667,676,678,688,695,706,716,723,731,743,750,757,768,780,782,796,800,806,819,829,836,846,852,864,868,879,886,896,907,910,922,926,940,949,958,962,970,978,986,1001,1003,1011,1021,1029,1044,1051,1057,1062,1079,1082,1092,1103,1108,1121,1126,1137,1145,1150,1161,1166,1178	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,22,26,35,45,56,60,76,79,92,95,104,114,124,135,141,145,158,163,178,315,325,328,341,348,353,368,373,378,390,398,405,412,422,430,441,600,604,613,624,633,642,648,655,666,672,683,689,697,705,717,728,730,739,749,759,763,779,785,792,805,812,816,826,836,843,856,860,869,880,889,891,900,916,922,928,937,950,955,966,970,982,990,998,1009,1018,1026,1033,1037,1050,1055,1063,1071,1083,1094,1098,1109,1114,1122,1136,1143,1155,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,30,40,45,51,59,74,84,87,94,106,113,119,131,137,150,159,166,178,313,318,333,338,348,359,366,371,378,389,397,404,417,427,435,440,470,602,617,620,629,640,645,657,668,674,678,688,699,706,715,723,733,743,747,761,766,776,781,793,797,814,816,826,836,846,852,863,866,878,884,893,903,910,923,925,935,945,954,964,975,976,989,1000,1008,1015,1020,1029,1043,1051,1058,1069,1072,1087,1090,1097,1106,1114,1122,1136,1139,1154,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,23,32,34,49,58,67,73,79,86,100,107,111,119,130,142,153,157,168,177,313,322,334,340,351,353,367,375,381,393,397,405,413,420,433,445,597,605,613,621,632,641,644,653,662,671,682,692,698,704,713,722,731,741,751,758,768,775,785,794,803,807,820,827,836,844,851,857,870,877,887,895,900,909,924,931,938,948,956,959,974,981,992,1001,1003,1016,1027,1033,1036,1045,1061,1063,1076,1083,1088,1097,1112,1115,1122,1138,1139,1153,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,27,42,46,55,65,70,76,93,98,106,115,123,132,138,150,157,170,173,316,320,331,335,350,360,361,376,379,394,403,408,419,425,436,441,465,604,612,626,628,640,651,655,664,672,684,691,697,708,717,724,736,744,749,757,765,775,782,791,800,808,816,827,832,844,853,859,872,874,886,896,902,911,922,929,936,948,958,961,969,982,990,993,1007,1012,1024,1031,1040,1045,1057,1068,1074,1081,1090,1104,1110,1121,1124,1132,1144,1153,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,26,36,44,56,64,75,83,89,100,110,115,120,134,137,152,162,163,178,314,325,326,339,345,354,367,375,380,394,399,406,413,422,431,444,600,608,617,620,628,637,644,658,666,675,680,692,699,711,714,725,736,738,750,755,768,777,785,796,801,806,815,827,835,841,855,862,868,874,889,894,899,914,921,926,935,949,956,967,969,979,991,1000,1005,1017,1021,1031,1041,1048,1060,1069,1073,1085,1093,1100,1105,1117,1128,1135,1143,1150,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,26,35,49,57,60,72,81,89,97,105,112,123,133,139,147,160,163,177,314,320,328,337,348,353,367,373,385,394,399,404,415,427,437,438,466,604,610,623,632,638,651,656,668,671,681,687,697,704,718,720,735,741,747,759,768,773,783,789,805,806,822,829,835,843,853,863,867,879,883,897,907,908,917,933,941,947,958,964,975,985,991,999,1003,1012,1023,1029,1043,1046,1061,1069,1075,1079,1093,1100,1106,1121,1123,1132,1143,1148,1157,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,28,41,44,52,64,70,76,86,97,104,117,119,134,139,152,157,163,175,314,323,328,338,350,353,362,369,382,390,398,409,419,421,432,439,452,603,613,618,629,638,645,654,662,670,684,692,696,706,719,724,736,745,753,761,771,772,787,789,798,813,822,831,837,848,853,859,867,881,890,896,900,911,920,926,936,947,958,961,968,982,991,997,1002,1015,1027,1032,1037,1052,1056,1062,1077,1087,1092,1103,1107,1120,1129,1135,1145,1148,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,34,42,46,56,62,69,81,92,94,106,112,124,128,137,148,155,168,171,316,323,327,342,349,353,369,375,382,387,399,407,416,422,429,443,455,604,614,624,633,635,644,656,663,673,680,694,701,707,720,721,735,741,751,754,764,771,784,794,804,810,814,826,832,848,854,857,868,875,885,891,904,912,923,928,936,942,953,962,969,978,985,997,1005,1010,1027,1028,1041,1046,1054,1067,1071,1080,1089,1099,1107,1117,1126,1134,1142,1151,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,21,30,40,50,52,65,68,77,90,97,107,117,122,135,141,151,158,164,177,180,320,330,342,344,353,361,371,384,390,403,409,420,424,431,442,471,609,611,621,627,636,651,660,665,670,678,694,700,706,715,725,731,741,749,762,766,776,787,790,802,812,822,829,833,840,855,857,868,877,884,893,904,909,924,926,934,945,954,968,969,982,986,1000,1003,1017,1020,1031,1040,1050,1054,1063,1071,1079,1093,1098,1105,1117,1125,1132,1147,1150,1161,1168,1175	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,21,31,36,43,53,61,73,84,85,100,108,116,121,129,143,145,162,166,172,317,319,329,338,350,356,366,378,382,388,396,406,415,426,429,440,600,601,609,619,633,642,647,655,667,670,684,689,699,705,720,726,734,737,751,757,764,777,787,796,801,812,816,823,837,846,856,860,869,875,886,898,907,911,920,933,937,943,958,960,976,982,988,1000,1007,1013,1027,1033,1037,1047,1061,1062,1075,1083,1092,1102,1112,1114,1121,1137,1144,1153,1161,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,21,31,41,49,53,66,71,78,91,97,104,111,127,132,138,153,161,164,171,317,325,330,340,344,353,366,376,378,390,400,405,417,424,430,444,600,608,610,618,631,642,650,659,665,674,678,694,700,711,712,725,737,741,752,758,764,771,785,791,799,810,817,829,834,845,849,865,873,878,888,895,903,912,921,932,934,946,952,962,968,977,993,996,1003,1012,1027,1032,1043,1051,1058,1067,1072,1086,1095,1096,1109,1117,1125,1136,1145,1147,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,22,26,37,46,55,62,69,77,88,97,106,112,125,132,142,153,161,168,176,313,318,331,339,345,358,361,377,381,387,396,411,415,424,430,438,597,603,613,622,630,641,649,659,661,669,685,689,701,708,718,720,731,740,748,759,763,774,783,789,799,806,818,824,837,843,855,860,870,879,887,892,903,914,917,932,935,944,958,962,969,983,992,999,1005,1013,1021,1032,1036,1047,1056,1069,1076,1086,1092,1099,1106,1116,1129,1136,1145,1152,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,23,31,38,46,55,63,75,76,87,100,110,114,125,136,138,152,157,168,172,318,322,328,343,351,355,362,375,384,388,395,406,415,424,432,444,596,602,611,620,631,642,648,656,662,676,679,687,697,706,716,725,735,740,752,758,765,771,783,794,799,807,821,825,832,847,852,860,870,879,890,898,908,916,922,929,934,949,951,963,974,983,993,995,1010,1016,1025,1029,1039,1051,1060,1067,1076,1086,1091,1101,1110,1118,1123,1137,1141,1147,1160,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,29,41,49,58,64,70,82,86,96,108,114,120,135,139,151,155,166,176,185,323,327,340,347,358,364,373,378,388,400,411,413,423,431,445,599,601,614,624,628,636,647,655,666,676,684,690,697,704,713,726,732,740,753,756,766,771,781,789,798,810,816,827,835,844,855,862,872,879,884,898,907,913,920,926,938,948,954,962,971,979,987,1000,1006,1014,1025,1030,1039,1047,1057,1062,1074,1086,1090,1101,1108,1114,1124,1135,1146,1154,1159,1166,1178	0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,24,25,37,44,56,67,71,79,88,94,106,118,126,135,136,148,158,169,171,313,318,332,339,346,354,369,374,379,392,395,410,413,429,430,444,596,606,617,623,629,636,648,654,661,673,682,688,697,705,716,728,730,743,748,759,764,779,785,795,800,813,819,823,839,841,856,865,869,881,888,892,900,912,924,933,938,943,958,965,970,979,987,996,1009,1015,1023,1034,1040,1046,1056,1066,1078,1084,1092,1104,1109,1119,1129,1133,1145,1152,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,27,41,50,59,63,70,85,91,96,104,118,124,129,142,152,160,166,175,315,323,332,336,347,356,361,375,382,393,403,406,420,426,430,444,599,605,609,619,632,636,649,656,661,669,679,692,696,706,717,727,730,741,747,762,764,777,787,794,802,808,821,824,835,842,853,864,869,878,889,898,905,910,921,926,940,949,956,960,972,980,990,996,1006,1018,1026,1029,1037,1045,1061,1068,1077,1080,1090,1104,1107,1115,1123,1134,1140,1148,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,20,32,34,43,58,61,73,79,87,94,110,112,127,134,136,152,161,170,173,316,320,331,342,345,360,368,377,382,389,403,410,414,424,436,442,597,606,611,625,630,637,646,655,668,671,686,692,696,710,719,725,736,738,746,758,765,777,780,792,799,812,816,830,833,848,851,859,869,882,886,896,906,912,917,926,935,949,957,964,972,980,989,1000,1009,1017,1020,1028,1042,1048,1055,1070,1078,1080,1089,1099,1109,1120,1125,1134,1141,1155,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,32,36,42,54,64,68,83,90,95,106,117,122,130,140,152,154,164,178,317,324,328,335,351,352,365,375,383,388,403,409,415,424,431,440,600,603,609,625,628,639,646,653,662,674,685,689,698,706,714,723,732,739,747,761,769,779,781,792,804,806,821,826,838,841,851,864,867,880,888,898,901,909,922,929,936,943,953,961,976,979,988,1001,1006,1014,1022,1031,1039,1053,1060,1064,1077,1083,1088,1098,1105,1113,1122,1133,1139,1155,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,29,40,48,52,59,72,80,89,94,104,116,128,133,141,149,158,164,178,314,318,329,338,345,354,362,369,385,390,397,410,415,428,432,437,598,608,609,622,634,643,646,660,663,671,680,690,698,709,717,722,730,741,750,760,768,773,787,796,803,810,822,823,836,847,853,858,871,880,886,894,901,913,919,930,939,944,958,963,972,977,986,993,1010,1012,1025,1032,1038,1047,1055,1069,1070,1087,1094,1104,1108,1119,1125,1137,1147,1148,1158,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,29,40,45,57,62,69,83,91,99,110,117,122,128,136,146,154,165,176,317,322,333,338,344,353,369,371,385,394,399,407,417,422,437,440,462,609,612,621,628,643,646,652,665,669,685,686,695,711,720,724,732,742,752,755,767,778,784,790,801,810,818,823,835,841,855,861,873,874,884,898,901,914,917,930,938,950,958,964,968,977,991,997,1003,1018,1022,1034,1036,1050,1058,1063,1071,1086,1089,1102,1111,1117,1122,1134,1139,1153,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,30,38,50,56,60,69,85,88,99,109,115,121,133,143,145,161,165,177,314,322,329,341,349,360,362,371,380,391,399,412,415,422,429,439,459,609,610,620,631,642,646,657,667,674,683,690,697,703,720,728,735,738,749,756,765,776,781,796,800,813,819,823,833,844,851,865,873,876,886,897,901,910,922,925,935,947,959,962,974,984,990,1002,1004,1012,1022,1034,1043,1049,1057,1067,1078,1086,1092,1101,1106,1119,1123,1131,1142,1149,1157,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,20,26,41,46,55,66,75,82,92,97,106,116,120,130,142,150,154,168,176,317,323,327,337,349,359,361,375,386,388,395,404,415,421,429,447,457,607,616,621,632,642,649,657,663,669,686,693,701,710,713,728,732,738,752,759,767,772,780,791,801,809,814,830,838,840,856,864,872,878,883,898,903,914,921,933,941,946,952,963,974,984,989,999,1008,1013,1023,1034,1041,1052,1058,1065,1070,1084,1089,1099,1109,1113,1126,1131,1147,1152,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,28,35,47,55,62,68,77,87,101,106,113,120,129,140,149,155,168,173,314,319,327,337,345,353,361,375,383,387,401,408,416,425,434,442,599,607,611,624,630,641,647,657,665,670,681,689,700,711,720,725,731,745,751,759,767,774,780,793,797,808,820,830,839,842,848,860,873,875,883,894,907,914,918,928,940,943,958,962,969,983,991,1001,1004,1010,1027,1034,1043,1049,1057,1070,1071,1086,1093,1099,1113,1119,1122,1136,1140,1153,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,29,35,50,51,60,71,77,85,100,105,116,127,135,138,151,154,166,178,317,319,326,340,345,359,361,369,381,388,400,407,412,423,432,438,457,601,614,625,632,643,651,655,663,676,681,694,697,707,714,727,729,739,746,759,763,777,784,790,801,807,815,828,838,846,856,865,869,875,883,891,900,916,922,925,938,943,954,963,975,983,993,1000,1005,1019,1022,1032,1037,1051,1055,1062,1076,1082,1089,1096,1106,1115,1124,1134,1140,1154,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,22,32,34,44,51,65,76,78,90,97,103,117,125,134,140,151,155,165,177,317,319,333,336,352,358,361,370,379,387,395,406,413,429,434,439,600,603,613,623,629,636,646,653,664,669,680,689,701,711,713,724,736,742,752,758,765,775,784,791,800,812,818,828,831,841,856,859,865,875,890,898,907,915,924,928,936,943,959,960,970,981,988,1001,1008,1017,1020,1034,1043,1047,1055,1067,1071,1082,1092,1101,1107,1118,1123,1134,1147,1155,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,21,31,37,51,52,66,69,80,89,96,107,117,123,130,144,151,160,169,172,316,324,328,343,347,354,364,375,385,388,401,405,417,425,437,443,596,607,611,619,628,636,650,658,664,675,681,689,695,709,720,723,733,742,754,756,771,773,781,791,801,807,822,829,835,843,849,861,871,878,886,894,907,913,922,927,941,943,951,961,976,979,985,995,1005,1017,1024,1032,1039,1051,1059,1070,1075,1082,1090,1099,1108,1118,1125,1136,1144,1152,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,25,29,38,43,53,65,70,80,91,101,109,116,122,130,142,151,154,162,173,182,320,328,339,344,353,363,377,383,391,396,408,416,428,429,442,462,608,615,625,633,636,646,659,668,675,683,686,694,711,719,728,729,741,752,760,770,775,784,792,801,809,822,828,837,842,851,859,868,882,887,896,904,909,923,925,934,944,952,964,971,985,987,998,1010,1012,1020,1029,1038,1048,1053,1068,1078,1086,1095,1098,1112,1114,1130,1131,1143,1155,1162,1164,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,24,31,37,49,54,63,72,85,86,101,105,118,126,129,140,146,155,167,174,183,321,326,342,345,353,361,376,382,388,398,406,420,421,429,440,597,604,610,618,634,639,647,660,668,671,682,686,701,707,713,723,732,742,749,760,764,776,783,792,804,813,822,830,838,848,850,857,865,875,889,895,903,916,920,928,940,942,959,960,976,978,993,995,1010,1017,1020,1035,1038,1045,1055,1064,1074,1079,1088,1104,1112,1120,1126,1130,1142,1155,1158,1169,1178	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,12,24,28,41,49,59,66,71,81,93,95,103,114,126,133,144,153,154,166,177,179,319,331,341,344,355,364,372,378,393,395,410,420,423,436,440,471,601,612,624,633,635,647,656,668,675,682,686,696,708,713,723,732,744,748,758,767,778,787,796,798,807,822,829,835,844,857,863,867,881,883,899,906,909,921,933,940,948,952,965,970,981,985,1001,1002,1015,1026,1029,1039,1049,1058,1069,1077,1086,1090,1100,1107,1120,1130,1132,1139,1151,1158,1170,1173	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0
4,17,23,33,38,48,52,62,71,81,85,102,105,118,120,130,145,151,160,166,177,179,324,334,341,344,353,367,370,381,393,397,407,417,423,431,439,599,605,617,621,632,640,643,656,663,676,680,690,695,707,713,728,731,745,747,761,768,778,782,793,801,808,819,830,838,840,854,863,867,876,886,896,903,911,920,928,937,947,957,961,968,977,989,1000,1006,1018,1024,1033,1039,1049,1056,1064,1074,1083,1092,1103,1106,1116,1129,1131,1147,1154,1162,1167,1175	1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,20,34,39,46,52,62,72,78,88,98,106,111,121,132,143,150,156,164,178,186,321,333,342,345,355,366,374,385,392,397,408,418,421,432,442,596,601,616,625,630,641,651,652,664,670,678,686,701,704,716,726,734,738,748,759,769,775,788,796,800,808,815,831,837,842,856,862,873,880,888,899,902,913,919,928,934,945,957,959,970,981,985,997,1010,1014,1026,1036,1038,1047,1061,1066,1077,1086,1094,1103,1105,1120,1121,1135,1140,1153,1162,1172,1175	0,0,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,16,24,30,39,45,54,60,68,83,87,94,102,111,120,134,141,151,153,162,173,198,324,328,341,347,358,366,374,378,387,395,412,415,421,432,443,596,608,615,626,633,640,648,657,668,669,685,693,696,710,715,726,731,738,748,759,766,777,785,791,803,811,816,825,835,847,850,864,873,876,888,892,902,911,918,931,936,947,951,962,974,977,990,996,1008,1013,1022,1030,1040,1051,1059,1064,1076,1080,1092,1101,1106,1118,1123,1134,1141,1147,1157,1171,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,18,32,40,46,57,62,74,85,89,94,109,114,121,132,143,148,156,168,171,194,322,333,342,344,354,366,372,380,395,400,404,417,424,437,440,600,605,617,622,628,637,647,652,666,672,684,687,701,704,713,721,735,739,746,755,768,772,788,791,798,811,818,828,838,840,853,858,867,878,884,891,903,911,920,927,941,949,955,967,975,982,988,997,1009,1011,1021,1034,1038,1047,1057,1065,1075,1083,1094,1101,1108,1115,1126,1133,1141,1155,1157,1170,1174	0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,15,18,32,35,50,57,61,71,83,86,98,110,116,120,130,144,148,157,163,174,193,320,333,343,352,357,366,375,381,388,395,410,414,422,436,445,598,608,616,618,626,639,648,660,665,673,685,694,702,707,718,728,732,744,752,762,767,777,788,797,798,813,817,826,833,840,856,857,867,877,883,891,903,908,917,926,936,949,958,962,973,976,991,996,1007,1014,1022,1033,1043,1050,1054,1064,1072,1086,1093,1102,1106,1116,1122,1133,1143,1148,1162,1168,1173	1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
4,16,24,31,37,49,57,64,75,83,92,100,103,114,125,131,138,146,158,167,176,315,318,328,337,347,357,363,372,379,386,399,407,418,427,430,441,598,601,614,626,627,642,648,656,667,676,682,687,700,710,717,724,732,740,752,761,768,777,781,790,799,807,819,828,833,846,853,862,870,875,889,896,902,908,922,930,940,946,957,961,970,981,990,997,1004,1013,1021,1029,1040,1053,1061,1065,1075,1085,1093,1102,1111,1116,1125,1137,1143,1154,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,19,27,35,48,52,64,73,78,88,96,105,117,122,133,142,153,154,164,178,190,322,327,336,352,356,364,373,379,390,397,404,413,420,436,442,600,604,616,625,626,638,651,659,661,676,678,692,701,709,713,724,737,745,752,757,771,774,781,793,797,807,822,829,833,845,851,859,868,882,883,895,906,908,917,933,941,947,959,961,968,977,988,999,1002,1018,1026,1031,1037,1051,1056,1065,1075,1079,1094,1097,1107,1119,1128,1134,1142,1155,1159,1172,1175	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,25,28,38,44,58,68,71,84,91,96,106,111,123,131,139,152,156,170,173,190,321,333,339,346,360,361,373,383,389,398,409,417,424,432,438,597,604,613,619,635,636,643,652,668,673,684,690,699,705,719,724,736,740,751,756,765,773,782,789,802,808,816,828,838,845,854,862,871,876,886,897,903,909,917,932,941,947,951,967,968,985,989,998,1008,1011,1019,1035,1038,1051,1058,1062,1078,1082,1094,1097,1111,1120,1126,1136,1139,1153,1157,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,12,21,32,36,51,54,67,73,79,86,96,106,115,121,132,144,149,156,165,175,179,323,330,338,345,352,363,375,378,386,396,405,417,424,435,439,597,604,615,621,632,640,645,656,662,670,681,686,702,705,719,720,729,738,747,760,769,771,783,790,804,806,816,825,832,847,853,859,869,882,888,893,900,914,919,930,939,947,959,965,975,981,990,996,1003,1012,1022,1032,1041,1049,1055,1065,1072,1082,1091,1100,1108,1116,1122,1135,1145,1154,1161,1165,1173	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
2,16,21,29,34,44,52,64,76,78,91,96,107,113,126,130,140,153,162,167,177,183,318,333,342,347,355,368,376,386,391,401,406,412,429,436,443,600,603,614,623,634,641,645,655,661,673,685,694,702,704,714,725,732,745,752,757,764,778,783,797,800,812,814,829,833,846,853,857,869,879,890,896,904,913,924,930,942,948,951,959,972,983,988,997,1003,1014,1020,1031,1041,1046,1055,1064,1076,1080,1093,1096,1110,1119,1130,1134,1139,1148,1156,1165,1173	1,0,0,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,17,27,37,46,58,66,69,80,91,94,104,116,124,133,144,145,157,168,171,196,323,330,340,348,357,365,373,381,388,402,404,415,427,429,444,596,605,614,620,632,642,645,654,668,671,685,689,702,710,720,721,735,743,753,756,768,771,787,789,804,807,821,829,836,845,856,861,867,879,888,892,901,915,925,931,940,949,954,962,975,978,987,994,1003,1014,1027,1033,1039,1046,1059,1065,1072,1085,1094,1096,1109,1121,1126,1137,1142,1148,1158,1168,1174	1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,14,20,30,35,46,52,67,75,84,88,94,108,114,124,135,140,150,161,168,170,182,325,328,337,350,355,362,371,385,389,397,404,419,422,431,444,469,602,614,618,630,642,646,652,665,676,684,687,700,708,719,724,735,743,752,760,771,779,780,793,798,810,815,824,838,845,850,857,869,875,886,895,905,912,924,931,940,944,956,967,968,977,990,993,1003,1017,1020,1030,1038,1049,1059,1068,1071,1083,1087,1100,1106,1117,1128,1136,1143,1148,1163,1167	0,0,1,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,13,23,29,36,45,53,59,76,83,90,94,103,118,122,135,140,151,159,169,173,313,322,332,343,351,359,362,375,383,392,402,405,417,423,434,442,468,606,614,618,634,640,647,657,668,676,684,693,698,711,716,723,735,744,754,756,770,778,784,790,803,812,817,831,837,843,852,860,866,879,888,893,900,910,923,933,934,945,956,966,974,981,991,998,1009,1018,1023,1031,1040,1052,1055,1065,1078,1082,1089,1098,1108,1119,1126,1132,1143,1147,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,24,27,40,42,52,63,71,84,90,99,105,113,119,132,141,150,156,164,177,315,323,327,341,346,354,366,371,380,392,397,404,413,424,432,442,596,607,613,626,628,640,651,655,668,675,680,688,697,709,713,723,734,738,752,761,770,778,785,796,797,812,814,824,831,846,850,858,871,879,886,891,900,914,923,932,934,949,959,966,976,977,987,994,1005,1017,1022,1029,1036,1047,1058,1067,1074,1083,1091,1102,1108,1118,1123,1130,1144,1151,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,25,33,35,47,56,65,71,81,87,97,106,118,127,132,143,153,158,170,171,315,325,334,342,347,357,364,376,379,392,399,410,413,424,435,438,460,604,616,618,632,636,645,656,667,675,683,692,699,704,714,727,737,744,753,761,768,772,785,789,799,810,817,831,836,841,856,859,871,877,884,892,907,914,924,928,938,945,958,961,970,983,988,995,1003,1012,1024,1031,1042,1047,1053,1063,1071,1082,1092,1102,1111,1120,1122,1130,1147,1152,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,18,26,39,48,57,64,70,77,88,101,110,113,126,136,143,148,161,165,170,313,320,331,340,346,356,366,371,378,391,395,405,418,426,432,438,599,603,609,623,631,636,647,654,667,669,677,694,701,709,715,728,733,742,747,757,771,773,783,791,801,811,820,823,838,840,854,865,871,875,890,897,906,911,924,926,941,950,954,968,973,985,990,999,1006,1012,1023,1028,1040,1048,1057,1065,1072,1086,1087,1104,1112,1119,1125,1131,1141,1149,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,24,27,41,48,59,64,74,84,91,98,109,117,125,133,144,153,157,162,178,317,318,328,342,347,359,368,370,379,391,399,404,418,424,431,443,470,602,617,620,630,643,650,653,662,673,681,687,700,704,713,722,734,739,752,754,763,778,781,795,798,809,820,829,835,841,853,860,867,874,886,899,904,914,922,928,940,942,954,965,970,981,993,999,1006,1013,1026,1032,1040,1049,1058,1068,1075,1084,1093,1103,1105,1121,1126,1137,1141,1149,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,30,39,46,53,67,71,80,91,99,104,116,126,132,142,151,155,165,175,316,318,331,337,349,353,363,370,379,394,401,405,415,421,436,441,458,604,611,623,627,635,646,659,668,671,683,694,701,710,713,725,736,743,751,758,769,775,786,790,804,808,819,827,836,843,850,860,866,877,891,897,905,913,919,930,937,948,953,962,968,977,986,1000,1008,1015,1026,1031,1036,1049,1054,1066,1078,1083,1091,1098,1112,1120,1128,1130,1141,1151,1157,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,28,35,43,58,63,76,77,86,100,105,116,124,128,137,151,160,166,172,313,319,328,341,348,354,368,374,380,390,398,407,413,427,437,438,596,608,612,618,631,638,650,653,664,672,679,686,697,704,712,724,729,744,752,757,769,773,781,789,801,806,818,823,834,845,848,861,871,880,884,892,906,913,920,930,938,949,953,967,970,976,993,999,1002,1017,1025,1035,1040,1048,1054,1062,1075,1081,1096,1099,1105,1119,1125,1133,1139,1148,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,31,39,46,53,63,74,79,90,99,102,112,125,128,142,146,154,162,173,317,320,332,343,350,358,363,377,382,393,403,405,417,426,430,442,448,603,611,623,628,636,645,659,664,674,685,690,700,706,716,724,730,738,754,755,766,773,788,794,805,808,819,828,832,842,850,860,871,881,889,898,903,916,922,927,935,945,957,967,968,984,985,1000,1009,1016,1020,1031,1037,1050,1057,1063,1072,1084,1092,1097,1112,1115,1124,1131,1141,1149,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,26,38,42,55,67,74,78,89,98,102,111,120,133,142,149,159,166,176,180,325,332,338,350,359,365,376,385,390,401,408,417,426,430,443,599,606,612,620,632,637,650,653,660,673,685,691,698,707,716,725,730,744,750,756,769,777,782,791,799,810,815,829,837,840,856,858,869,881,883,894,907,909,918,932,938,943,958,962,972,981,985,1000,1010,1015,1020,1032,1040,1051,1056,1068,1070,1081,1093,1103,1113,1115,1127,1137,1144,1149,1157,1165	1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
5,9,25,32,38,45,54,68,72,78,93,98,106,116,125,130,137,147,157,162,176,315,322,329,342,349,353,366,377,382,389,397,406,412,422,433,439,597,602,610,625,626,639,650,658,668,669,683,686,697,710,717,728,733,742,752,756,766,779,781,788,804,814,815,824,836,846,855,859,870,880,888,892,902,914,918,929,941,947,953,966,976,978,990,1000,1007,1010,1021,1035,1037,1047,1058,1062,1076,1084,1093,1101,1105,1115,1129,1134,1145,1155,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,23,26,37,44,56,61,73,81,89,98,108,114,127,129,142,148,157,168,177,314,318,333,337,349,360,361,375,386,393,399,410,414,423,432,440,599,608,611,619,627,636,645,657,666,670,684,692,700,709,716,724,735,745,747,755,771,774,786,791,804,810,821,827,835,846,855,857,869,877,888,894,902,910,925,926,939,945,951,965,975,980,991,1001,1006,1012,1026,1030,1038,1047,1058,1064,1076,1086,1091,1100,1110,1113,1123,1131,1141,1149,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,30,36,45,54,66,68,81,93,94,104,116,122,128,141,153,159,168,177,315,326,333,341,351,354,365,371,384,390,398,408,419,429,430,443,600,608,612,622,627,640,650,660,669,670,680,690,697,711,715,720,734,743,747,758,767,772,788,797,802,811,815,826,832,845,851,858,868,880,889,891,905,913,920,932,937,948,957,964,972,979,989,996,1007,1015,1027,1033,1039,1050,1056,1062,1076,1085,1094,1098,1108,1120,1125,1138,1140,1149,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,26,36,50,59,63,73,77,91,101,107,115,123,135,139,149,156,170,174,316,321,332,343,347,360,368,376,383,386,397,404,415,425,430,445,598,601,614,622,626,642,645,658,661,677,679,689,699,707,717,722,737,739,747,758,763,778,783,795,804,806,820,826,839,847,850,858,872,882,885,898,907,916,918,931,941,945,954,962,968,980,991,994,1004,1013,1025,1033,1044,1051,1056,1064,1073,1084,1088,1103,1111,1115,1125,1137,1144,1151,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,27,37,48,52,65,68,82,86,98,108,115,127,134,145,147,154,166,172,182,325,333,338,351,358,365,373,379,386,397,405,412,422,435,438,453,603,610,619,628,642,646,659,663,675,683,688,700,710,714,728,730,739,754,762,767,772,787,793,798,807,817,826,833,848,851,861,870,874,888,892,908,911,920,931,938,950,951,963,975,980,985,998,1003,1016,1027,1030,1039,1051,1057,1063,1077,1087,1092,1103,1107,1119,1129,1136,1145,1148,1161,1172,1178	1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,21,32,39,48,55,60,74,82,89,101,103,119,126,133,142,149,154,167,178,317,324,328,338,344,360,361,373,381,392,402,407,414,423,435,438,455,608,614,626,629,643,649,656,661,671,679,693,699,709,716,723,735,745,750,754,769,776,781,790,803,805,819,829,836,843,848,860,868,877,885,892,899,911,924,926,935,946,958,967,973,984,990,1002,1006,1012,1026,1035,1037,1045,1057,1069,1076,1083,1093,1098,1108,1121,1127,1131,1141,1152,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,34,36,49,53,66,70,80,88,100,102,115,121,136,140,150,161,162,171,317,324,334,339,348,355,361,375,384,389,402,411,417,428,429,445,600,606,611,624,631,639,647,652,662,672,684,689,701,705,714,723,730,741,752,756,764,772,786,793,799,810,820,826,836,844,853,861,872,875,885,897,902,912,923,928,938,948,952,964,970,983,990,997,1006,1013,1020,1035,1039,1051,1057,1067,1077,1081,1088,1101,1111,1114,1126,1138,1143,1155,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,24,30,36,50,56,63,68,77,88,97,103,118,122,129,141,150,155,168,177,313,320,327,335,344,356,367,371,384,391,399,406,418,423,437,441,598,602,610,618,629,637,646,657,666,669,682,692,699,704,712,721,729,741,753,755,765,774,781,794,804,808,821,826,831,847,850,858,874,879,884,896,903,912,924,931,940,949,956,961,971,983,992,999,1008,1012,1024,1032,1043,1046,1060,1062,1071,1079,1090,1102,1106,1113,1129,1136,1146,1148,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,23,26,36,47,56,62,76,82,93,96,104,117,122,128,141,152,155,164,175,313,318,331,343,351,357,365,371,385,391,399,406,417,425,433,443,596,606,617,619,628,638,645,652,663,675,683,691,696,704,715,725,732,740,749,758,764,778,782,789,797,812,818,827,836,844,854,860,869,879,885,892,904,908,924,933,938,948,957,966,968,984,986,1000,1005,1015,1027,1034,1041,1048,1055,1068,1076,1083,1090,1100,1106,1121,1127,1133,1143,1149,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,25,27,41,50,59,65,70,77,91,100,103,119,127,130,139,150,162,163,173,316,318,329,339,346,359,366,371,382,390,401,410,417,422,434,438,459,601,617,619,628,635,644,652,662,671,681,691,701,708,719,720,730,744,748,762,763,774,788,796,800,807,820,823,835,842,853,865,873,878,888,891,902,909,920,931,934,944,956,964,970,977,991,993,1002,1015,1024,1035,1041,1052,1053,1065,1072,1079,1094,1099,1110,1120,1130,1136,1146,1155,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,30,34,46,52,66,76,82,89,95,106,116,119,135,140,149,160,163,173,316,321,329,337,351,355,363,377,378,390,397,410,413,426,436,438,457,600,612,625,627,640,644,652,668,676,684,686,697,709,720,722,732,744,749,761,764,771,783,792,802,810,817,825,839,844,855,858,866,878,886,897,907,913,917,925,936,950,953,959,973,977,986,995,1010,1015,1025,1028,1043,1050,1061,1065,1077,1081,1091,1104,1106,1115,1121,1138,1141,1152,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,20,30,37,47,54,62,76,78,91,97,102,115,120,131,141,153,160,163,175,316,325,330,337,349,357,365,374,381,394,401,406,419,424,430,444,447,607,615,625,631,642,646,659,662,671,681,689,698,707,718,722,730,741,754,760,763,771,787,795,800,806,816,830,838,846,851,858,868,878,887,899,904,910,920,931,941,943,958,963,973,977,990,1000,1003,1011,1020,1029,1040,1049,1056,1064,1074,1081,1091,1100,1105,1114,1128,1133,1143,1151,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,26,41,50,57,61,76,79,90,101,105,112,127,129,144,146,154,168,171,316,323,329,338,350,357,366,377,386,394,395,405,412,422,432,438,599,605,616,622,628,642,644,653,667,671,678,689,696,705,713,723,730,745,751,755,771,778,781,795,798,809,817,827,835,845,854,862,872,881,890,897,900,912,924,933,940,942,959,963,973,983,989,1001,1009,1014,1026,1030,1038,1045,1053,1069,1073,1084,1091,1097,1106,1116,1127,1136,1147,1154,1156,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,26,34,45,56,67,70,79,87,101,107,112,124,130,137,150,155,170,175,317,320,326,342,345,360,369,377,378,388,396,405,419,429,436,439,458,604,611,619,628,638,644,653,663,675,681,694,702,705,714,728,735,739,752,760,766,774,780,796,803,813,822,823,833,848,855,857,869,879,882,897,905,911,920,932,942,948,958,964,972,984,993,1001,1009,1014,1024,1029,1042,1048,1055,1064,1074,1083,1087,1099,1105,1114,1127,1137,1145,1152,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,32,42,43,52,64,71,84,91,102,107,115,126,134,137,147,154,168,177,315,319,331,342,347,356,365,378,383,387,395,410,420,427,436,439,597,607,615,619,632,636,645,659,668,673,683,691,700,707,713,725,736,743,746,761,766,779,782,788,800,811,815,824,834,844,850,863,873,875,891,896,907,908,918,930,934,945,957,965,968,982,991,994,1006,1013,1026,1028,1043,1046,1059,1068,1071,1084,1094,1102,1108,1119,1124,1135,1147,1153,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,30,38,47,55,61,73,84,92,95,110,119,121,134,138,152,161,162,171,315,321,334,338,350,357,363,370,382,394,395,404,416,420,434,442,598,604,609,621,627,641,644,654,662,677,679,692,696,710,716,724,733,739,748,756,770,778,783,788,801,809,817,829,838,846,854,863,866,880,883,899,905,913,919,933,938,944,952,960,972,982,993,1000,1005,1015,1021,1034,1041,1048,1056,1069,1073,1084,1088,1103,1106,1121,1122,1135,1145,1154,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,31,34,47,55,61,74,81,90,99,103,113,122,134,144,150,160,166,176,313,318,330,339,346,360,368,376,382,390,397,405,417,425,434,439,596,605,611,624,626,640,646,655,668,677,685,687,702,710,715,725,734,744,748,755,768,777,785,795,800,813,822,826,834,846,854,859,867,880,889,895,899,912,920,930,937,948,959,967,970,983,992,1000,1005,1017,1023,1029,1044,1045,1060,1066,1078,1085,1090,1102,1109,1121,1129,1136,1143,1148,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,33,35,50,58,66,75,82,91,96,103,112,125,129,136,150,155,170,171,189,323,328,338,345,359,365,372,381,392,402,409,412,427,434,445,448,604,611,623,633,639,646,655,661,675,685,694,700,704,716,724,729,740,752,759,769,777,784,789,801,806,818,826,838,841,856,858,873,879,887,891,902,912,918,932,939,942,954,963,975,980,992,998,1009,1012,1023,1031,1041,1047,1061,1066,1075,1083,1088,1096,1105,1113,1126,1132,1145,1155,1163,1171,1174	1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,11,24,29,34,44,52,63,70,84,88,95,108,111,124,132,140,146,157,163,172,188,326,328,336,346,354,368,370,383,386,400,411,419,426,431,442,461,606,614,626,628,643,649,654,665,677,685,690,702,711,712,723,731,740,750,759,769,774,782,793,798,808,820,829,838,840,856,863,873,874,887,892,906,909,917,927,938,944,958,961,973,979,990,997,1006,1015,1027,1028,1042,1049,1053,1063,1073,1080,1092,1099,1109,1120,1128,1136,1143,1149,1164,1172,1175	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,9,21,33,34,46,56,67,71,78,92,101,106,118,128,133,142,149,154,163,173,194,321,331,338,344,357,366,374,383,388,402,406,416,426,434,442,596,607,611,618,627,635,644,655,662,669,680,694,698,710,716,728,735,742,754,756,771,779,784,790,802,813,818,826,839,848,851,857,866,875,890,893,903,911,919,929,936,949,956,964,975,982,985,994,1005,1012,1027,1035,1040,1046,1056,1064,1074,1083,1089,1099,1112,1120,1127,1136,1145,1148,1164,1170,1175	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1
0,16,18,27,35,46,55,64,69,83,91,97,107,111,124,128,139,151,157,163,178,197,319,329,340,350,358,367,375,379,388,400,408,420,427,436,440,454,607,614,622,628,642,645,659,668,676,681,692,696,710,717,725,732,741,752,755,766,777,784,794,805,812,814,826,836,847,856,864,872,881,891,896,904,909,918,931,939,949,955,965,975,976,993,1000,1009,1011,1025,1029,1038,1048,1061,1067,1078,1087,1090,1104,1106,1115,1130,1135,1146,1150,1159,1164,1173	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,9,19,26,36,47,59,66,70,82,92,99,103,114,119,136,141,149,154,166,175,182,324,328,337,346,360,362,372,383,391,395,408,418,427,431,438,600,605,615,622,628,637,651,659,663,673,679,687,703,705,716,721,730,745,746,756,767,777,780,797,798,811,817,826,838,845,854,858,871,878,884,894,901,913,919,932,936,948,951,960,971,979,985,998,1003,1018,1024,1033,1038,1050,1058,1067,1077,1086,1093,1104,1112,1115,1128,1137,1144,1153,1156,1165	1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,25,28,37,49,54,65,68,80,93,100,107,118,123,130,137,153,158,169,174,180,324,330,338,345,355,368,374,379,389,401,410,418,424,437,444,465,601,610,622,632,642,648,656,664,677,679,691,696,709,712,720,736,738,751,757,763,779,781,791,802,810,814,825,839,846,856,860,865,881,886,895,900,912,924,933,936,946,956,961,970,976,988,995,1006,1018,1022,1028,1041,1046,1059,1069,1071,1080,1094,1100,1107,1121,1127,1132,1141,1152,1164,1171	0,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,22,30,37,44,58,62,69,83,89,99,105,114,122,134,140,152,153,162,175,179,323,328,335,347,358,362,376,386,392,403,407,416,429,434,442,597,604,610,619,627,636,648,657,667,670,684,691,697,707,715,726,736,740,751,760,763,779,785,792,802,807,816,824,831,840,855,860,867,881,882,896,900,913,918,932,942,944,953,961,968,979,987,996,1003,1013,1024,1028,1042,1051,1061,1062,1071,1086,1093,1101,1109,1119,1128,1131,1144,1148,1160,1167,1177	1,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,22,33,42,49,59,60,69,83,88,99,107,115,122,128,140,153,160,162,171,180,322,334,336,346,355,361,371,382,392,398,408,420,422,435,440,599,607,610,619,630,635,652,657,660,670,677,691,701,705,713,728,737,743,748,755,771,779,784,792,797,812,817,831,836,845,855,859,871,878,883,893,899,910,924,929,939,950,952,965,968,981,992,1001,1007,1011,1026,1028,1042,1051,1055,1069,1071,1080,1091,1100,1108,1121,1124,1132,1140,1149,1157,1165	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,24,26,38,44,58,68,73,78,87,97,103,114,123,131,143,145,156,162,177,315,321,327,340,348,353,368,374,380,388,395,410,415,422,433,439,458,604,616,624,634,637,650,655,669,675,680,689,696,708,712,724,735,745,752,754,764,774,780,796,801,810,817,826,836,843,856,860,867,879,891,899,901,908,924,925,935,950,951,961,976,980,990,998,1006,1017,1020,1032,1036,1045,1060,1062,1075,1087,1089,1100,1110,1120,1130,1132,1140,1155,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,19,29,34,50,55,61,76,82,90,99,107,118,120,133,138,150,158,170,171,179,319,327,343,350,360,364,374,383,387,397,407,417,428,437,445,600,605,616,618,634,636,648,659,664,675,682,686,699,707,718,727,730,743,751,762,769,779,784,793,801,811,816,828,835,842,855,861,871,877,885,894,908,915,919,932,934,944,958,965,972,981,986,993,1004,1013,1020,1034,1043,1049,1054,1069,1073,1080,1095,1096,1110,1114,1127,1137,1146,1150,1163,1170	1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
4,13,23,28,36,50,58,63,70,80,87,98,102,111,120,129,140,148,157,169,177,189,322,328,339,351,354,363,376,379,387,403,411,417,426,437,440,458,603,611,621,628,639,645,656,667,674,679,690,698,704,716,723,730,742,748,760,767,777,784,794,803,813,818,826,834,842,849,859,870,875,884,894,906,913,918,926,941,943,954,960,975,981,987,993,1004,1018,1026,1034,1040,1047,1058,1067,1076,1083,1092,1099,1110,1120,1125,1132,1141,1154,1163,1172,1173	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,10,19,30,41,46,53,61,69,82,88,95,108,113,126,133,137,151,154,162,178,185,323,327,339,344,356,363,374,383,389,397,404,417,426,435,441,596,603,612,618,630,637,644,653,664,676,678,692,698,705,713,722,732,739,746,762,764,775,781,793,797,814,820,829,835,846,856,864,867,876,887,892,905,912,922,933,937,944,956,961,972,979,987,996,1006,1015,1021,1030,1038,1052,1056,1062,1071,1079,1089,1098,1105,1115,1123,1137,1146,1150,1159,1167	0,0,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,13,23,33,40,44,52,61,76,85,87,98,103,113,123,135,145,149,158,164,174,182,319,332,340,347,358,369,371,386,389,396,410,416,426,433,438,596,608,613,623,633,641,650,655,660,676,685,692,700,704,720,728,734,743,753,761,769,779,786,796,797,806,821,824,831,841,856,860,866,879,885,897,901,913,923,931,941,949,956,968,975,982,989,1000,1007,1016,1020,1032,1042,1053,1058,1067,1078,1083,1095,1097,1111,1116,1123,1135,1141,1152,1160,1168,1177	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,11,21,28,39,42,52,67,72,79,88,95,110,116,121,129,138,145,157,170,178,185,325,331,336,347,353,365,371,383,390,402,411,417,426,430,439,599,605,611,623,629,642,647,654,661,670,679,691,702,707,716,722,730,741,746,757,768,771,785,796,799,810,818,825,834,848,856,862,868,881,884,896,906,908,923,930,935,946,953,966,973,983,991,994,1003,1013,1024,1032,1036,1049,1053,1067,1071,1087,1088,1101,1104,1117,1128,1136,1144,1151,1159,1171,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,31,40,45,54,60,69,78,89,101,102,112,124,133,136,147,154,164,175,292,319,330,337,348,356,366,372,378,390,400,405,419,428,436,443,462,602,615,620,628,643,647,655,665,677,685,694,700,707,717,720,730,737,751,760,767,777,783,792,797,811,818,831,839,847,848,858,868,878,887,895,900,911,918,927,941,942,958,963,969,982,988,998,1007,1016,1026,1032,1037,1046,1058,1069,1076,1079,1095,1098,1105,1119,1125,1134,1139,1150,1160,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,24,25,35,50,56,64,71,81,87,99,110,118,125,134,143,145,160,170,178,317,322,333,339,347,354,369,374,381,388,403,405,414,423,433,444,597,603,615,625,628,635,647,653,662,673,678,693,701,710,713,722,735,744,752,758,768,778,785,792,804,805,818,823,831,844,851,860,872,880,883,893,904,911,922,929,940,946,958,964,973,979,988,997,1007,1016,1019,1028,1044,1049,1056,1065,1076,1087,1094,1101,1105,1117,1128,1132,1143,1155,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,24,32,34,42,56,65,72,81,88,95,105,111,122,135,139,146,155,169,171,313,321,334,338,345,358,364,375,379,393,399,409,413,420,433,440,596,603,614,625,626,640,648,660,666,677,684,688,698,709,714,724,732,742,750,759,764,777,781,792,803,813,821,829,831,844,854,862,866,876,890,896,900,915,918,932,934,948,956,964,973,981,985,995,1009,1012,1020,1030,1044,1045,1058,1062,1073,1082,1091,1098,1108,1113,1129,1137,1144,1153,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,20,30,42,43,56,62,72,82,87,99,106,114,122,128,143,151,157,163,172,313,323,330,342,347,358,366,374,381,393,402,407,418,424,430,440,596,602,616,622,627,635,651,658,661,673,681,688,702,706,714,720,731,737,749,756,770,772,784,789,797,811,819,828,835,840,849,858,866,875,884,899,901,910,918,925,940,948,953,962,970,978,985,997,1009,1015,1019,1034,1037,1051,1053,1063,1076,1085,1094,1098,1110,1121,1124,1135,1145,1149,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,25,36,46,56,61,75,82,91,96,109,115,125,133,142,147,155,169,177,314,321,333,341,346,356,364,372,380,393,398,407,419,428,434,444,455,606,617,618,633,639,651,654,664,669,681,688,700,705,717,727,736,741,752,755,768,777,780,790,799,808,814,826,834,841,853,863,865,882,888,892,902,915,917,926,937,949,958,965,976,985,993,997,1007,1011,1024,1031,1044,1052,1055,1067,1078,1083,1088,1099,1105,1115,1128,1130,1141,1149,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,25,27,38,45,52,60,71,77,86,94,108,116,122,130,139,153,154,166,172,317,325,330,342,344,354,361,371,386,391,401,410,415,424,430,438,471,607,617,624,632,636,645,656,663,672,678,693,696,711,717,724,736,744,752,761,766,779,785,792,804,812,822,830,832,840,854,859,869,880,882,899,901,911,924,932,939,950,955,966,972,982,985,994,1006,1014,1025,1031,1043,1052,1059,1068,1077,1080,1089,1102,1105,1118,1128,1136,1141,1155,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,19,26,36,48,57,66,76,81,85,100,107,111,120,136,145,151,162,165,176,318,324,329,343,348,356,362,369,386,388,396,410,413,428,432,441,448,604,617,620,630,636,651,656,668,677,685,690,699,705,715,727,732,739,752,760,767,773,782,796,799,811,820,829,836,845,850,864,866,877,888,898,899,910,924,933,938,942,954,963,971,980,986,997,1008,1015,1022,1034,1044,1046,1056,1062,1077,1080,1087,1102,1105,1115,1122,1138,1141,1151,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,22,27,37,44,54,63,68,84,93,94,106,115,121,135,143,152,157,165,173,316,324,335,336,348,357,366,377,380,390,399,405,413,425,431,442,466,601,613,621,629,641,647,653,664,674,685,688,699,711,715,722,731,745,746,755,763,773,784,790,802,806,821,830,835,846,855,861,874,875,891,893,903,908,919,928,938,947,958,963,976,978,989,999,1010,1013,1019,1033,1042,1049,1057,1066,1073,1085,1090,1098,1107,1115,1122,1132,1139,1155,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,30,39,51,58,61,72,78,92,95,104,111,128,130,141,153,155,165,171,318,322,327,343,349,353,363,372,379,394,400,407,417,426,433,438,599,603,617,620,632,635,648,659,666,669,681,688,698,705,711,722,731,738,747,756,767,771,787,789,803,814,819,828,832,843,849,860,869,875,885,894,907,915,921,929,942,949,953,963,968,978,987,995,1010,1014,1024,1032,1041,1048,1057,1066,1076,1087,1092,1097,1105,1113,1129,1132,1141,1155,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,34,37,49,51,68,73,80,92,101,109,118,122,135,142,147,156,162,175,188,321,329,336,351,359,361,372,379,393,400,406,414,427,435,443,600,606,612,626,628,635,643,658,664,670,679,686,698,708,719,726,735,743,747,755,770,775,787,791,803,813,818,824,839,844,850,862,866,874,884,899,905,913,918,933,936,948,955,964,974,979,986,1000,1010,1014,1020,1030,1044,1053,1057,1065,1076,1084,1088,1104,1108,1114,1125,1133,1144,1151,1159,1166,1173	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,29,34,46,58,61,69,77,86,95,102,114,123,130,142,150,153,163,170,318,324,328,336,348,360,368,370,385,392,398,408,417,422,434,439,596,601,609,626,633,635,643,656,668,677,681,691,700,708,713,720,732,741,751,756,769,772,782,795,805,808,816,831,839,847,853,858,870,880,890,894,902,910,925,927,941,946,955,967,972,977,991,1000,1005,1016,1023,1028,1041,1045,1055,1063,1074,1086,1093,1103,1112,1117,1127,1136,1142,1153,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,21,28,35,43,52,68,72,84,88,98,108,114,121,132,137,148,161,169,172,317,323,333,339,348,354,361,375,380,392,395,407,414,423,430,443,458,604,617,619,629,643,644,656,660,670,681,692,699,704,714,725,736,745,753,755,767,773,787,795,804,810,816,826,835,841,849,864,872,881,885,894,904,909,924,930,939,943,959,967,971,979,985,993,1006,1017,1027,1031,1037,1052,1057,1067,1074,1087,1093,1098,1109,1120,1128,1135,1143,1150,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,28,41,44,51,64,75,81,92,94,103,116,120,134,141,147,154,164,173,314,325,332,338,347,357,363,373,385,387,400,411,413,428,430,446,599,605,613,618,627,640,646,654,666,671,680,693,702,710,713,723,732,739,750,759,768,773,786,794,799,806,816,828,832,842,849,863,868,875,891,894,902,916,918,929,937,949,956,968,970,981,991,994,1005,1014,1021,1029,1042,1048,1056,1062,1077,1086,1089,1096,1110,1119,1127,1137,1144,1151,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,25,34,48,53,66,72,80,89,94,103,116,120,132,143,152,159,165,178,317,322,331,341,346,355,364,374,382,391,402,409,418,420,430,441,598,606,612,622,628,640,645,653,664,672,678,693,703,708,714,728,729,744,753,756,766,774,783,793,801,810,817,823,834,840,848,859,873,876,884,893,907,915,925,927,935,950,957,966,972,977,988,994,1005,1014,1021,1035,1043,1048,1056,1063,1073,1082,1089,1100,1105,1114,1129,1131,1139,1154,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,31,39,44,53,62,72,84,88,97,109,111,121,132,142,151,157,167,176,185,325,329,341,348,352,367,372,378,393,401,404,416,429,433,444,596,603,617,624,630,636,645,654,664,672,682,691,695,707,719,720,730,743,748,755,770,779,781,791,805,810,817,823,838,841,852,863,870,879,889,892,906,915,922,931,935,942,959,968,970,979,991,997,1003,1013,1019,1030,1039,1048,1057,1067,1076,1086,1088,1100,1106,1117,1127,1130,1143,1148,1163,1166,1173	1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,13,23,28,39,48,56,63,71,81,86,94,103,112,119,134,143,147,155,169,170,316,319,330,342,346,355,361,376,383,394,397,405,412,424,434,442,597,604,610,618,634,637,648,655,663,673,681,690,699,709,719,722,733,743,750,757,768,772,783,793,799,814,821,823,835,845,856,860,872,880,888,892,900,910,919,928,937,946,953,961,972,982,988,998,1008,1012,1020,1032,1038,1048,1055,1065,1072,1084,1090,1099,1111,1118,1124,1138,1146,1149,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,22,31,42,47,58,63,76,77,89,99,104,118,126,136,144,150,160,167,172,316,324,332,341,345,359,361,377,379,390,396,410,419,427,437,444,596,608,615,623,630,638,644,654,667,677,680,688,695,706,715,721,733,741,752,756,769,774,783,792,799,813,822,825,832,841,856,857,873,878,887,895,906,909,917,931,942,944,951,962,968,982,985,997,1005,1016,1025,1029,1043,1052,1060,1062,1075,1086,1094,1101,1111,1115,1128,1137,1145,1152,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,20,27,38,42,58,68,69,84,92,96,103,114,119,132,139,152,161,164,175,316,320,330,338,349,356,369,373,384,395,402,405,415,428,436,440,596,602,614,624,634,635,645,652,666,674,681,693,702,704,717,724,736,746,747,755,766,778,784,790,799,809,814,825,836,845,855,857,870,882,884,892,900,914,918,929,937,942,957,964,972,980,993,1001,1003,1015,1027,1033,1040,1045,1055,1064,1071,1081,1088,1103,1106,1114,1128,1133,1142,1151,1157,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,18,28,37,47,57,60,74,82,90,98,103,116,120,135,142,146,156,166,171,314,321,332,342,348,355,368,375,385,390,402,404,414,420,436,442,466,603,610,618,630,639,650,655,665,676,684,691,701,706,719,727,729,738,752,757,765,778,788,790,799,810,820,823,835,844,852,865,872,882,887,896,901,910,925,931,937,944,955,967,972,982,993,1000,1005,1016,1023,1028,1042,1049,1055,1064,1078,1082,1092,1103,1109,1119,1126,1131,1143,1155,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,17,24,32,34,43,54,66,73,82,86,95,110,111,119,134,137,148,161,167,175,315,323,331,339,349,358,361,373,380,387,398,403,419,428,432,440,469,606,610,622,628,643,650,659,669,677,682,692,701,708,718,724,733,738,746,757,770,771,781,795,800,807,820,825,832,848,850,859,868,875,887,894,903,914,921,932,938,946,954,967,972,982,991,999,1007,1016,1025,1034,1038,1049,1054,1068,1073,1081,1088,1104,1111,1114,1130,1134,1142,1154,1161,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,27,40,49,58,60,75,79,88,98,103,112,121,130,139,145,159,163,171,317,326,327,337,351,359,367,373,385,391,397,404,414,428,435,441,456,601,610,619,628,638,650,652,669,671,685,691,695,708,719,724,731,737,749,755,765,776,781,796,804,810,818,828,832,840,852,860,873,877,890,899,902,908,919,926,939,948,959,966,975,984,985,999,1010,1017,1019,1034,1039,1051,1056,1062,1074,1083,1089,1097,1112,1114,1122,1132,1140,1155,1161,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,33,42,45,51,64,72,80,87,98,103,113,121,134,141,145,161,164,172,313,321,333,340,349,360,367,372,381,388,397,404,418,421,434,441,455,602,613,622,626,637,650,657,668,675,681,692,696,706,715,720,732,739,747,761,768,778,782,788,805,812,818,825,832,842,848,863,870,880,888,891,902,909,924,931,935,950,956,962,973,978,990,997,1008,1015,1020,1028,1037,1049,1058,1066,1074,1080,1088,1103,1109,1117,1126,1134,1146,1152,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,24,32,41,47,58,61,74,85,88,94,106,112,123,130,141,147,160,167,173,317,324,326,340,349,357,361,371,382,391,403,408,418,426,434,440,599,604,609,622,630,640,647,658,661,676,677,686,703,708,714,728,731,743,748,758,765,775,787,793,797,808,818,825,833,841,855,858,871,877,887,897,902,916,920,925,936,945,953,964,975,977,992,1000,1002,1016,1026,1032,1044,1045,1056,1064,1077,1087,1088,1098,1113,1118,1124,1130,1139,1148,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,32,34,46,53,60,76,83,88,101,106,114,125,129,139,152,156,163,179,316,322,326,341,350,353,363,376,383,386,400,408,418,425,429,445,451,605,616,619,628,638,649,656,665,675,681,691,695,711,713,728,731,743,753,758,765,773,782,796,798,810,815,831,839,842,854,861,867,879,885,898,900,916,917,928,936,945,957,966,973,984,991,994,1006,1017,1027,1036,1042,1048,1059,1062,1077,1087,1090,1097,1110,1115,1122,1134,1140,1148,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,26,36,50,52,66,75,84,92,98,109,117,121,128,144,150,159,164,175,317,325,327,342,349,357,363,373,381,393,401,407,412,425,432,441,600,605,616,626,630,637,648,652,667,671,682,690,698,706,719,722,735,744,746,754,771,774,788,792,797,809,821,829,838,844,854,858,871,875,885,897,901,916,923,929,938,943,951,960,970,977,986,998,1007,1013,1027,1030,1037,1049,1057,1063,1073,1081,1091,1099,1106,1119,1122,1138,1146,1154,1163,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,19,30,36,50,54,65,68,80,86,101,109,118,126,135,138,153,155,163,174,317,319,333,340,344,354,366,376,378,388,402,405,416,424,434,442,599,606,617,625,628,641,650,657,664,673,679,690,695,711,712,722,730,743,748,758,766,773,786,793,800,811,817,829,834,845,851,862,869,875,884,896,903,914,918,933,937,948,957,960,975,982,989,993,1007,1011,1021,1033,1044,1047,1058,1070,1074,1079,1096,1101,1106,1115,1124,1136,1146,1149,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,26,38,46,51,60,69,81,92,102,109,111,127,135,137,153,157,168,173,317,324,328,337,346,353,367,377,378,391,402,406,412,422,434,442,468,609,612,618,632,641,647,659,665,677,686,690,701,708,714,722,729,742,747,755,765,776,780,789,802,812,822,825,836,842,853,858,871,874,890,897,907,914,923,928,941,945,957,962,972,980,987,998,1010,1015,1023,1034,1044,1046,1060,1068,1071,1082,1093,1096,1110,1114,1128,1131,1142,1148,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,32,36,48,55,60,74,78,86,100,105,118,121,129,137,153,155,165,171,180,323,333,335,345,353,366,370,385,386,396,406,416,422,430,439,600,601,616,622,627,642,643,657,665,669,686,694,702,710,720,728,734,743,748,762,768,773,785,797,804,808,820,830,832,844,851,859,873,875,890,896,902,916,925,932,934,950,956,962,972,982,993,1000,1010,1017,1027,1031,1042,1051,1055,1062,1076,1080,1091,1101,1106,1118,1129,1130,1144,1150,1159,1172,1173	0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,18,25,37,46,58,66,69,82,90,98,108,116,125,134,142,151,154,169,172,183,321,329,339,345,360,366,372,379,390,401,410,414,423,435,442,467,608,617,621,634,640,646,655,663,676,680,694,699,703,716,725,730,739,748,759,770,775,781,794,799,813,820,831,836,841,856,860,873,878,891,894,902,908,918,929,941,945,952,961,968,980,993,996,1002,1012,1023,1035,1039,1052,1054,1068,1074,1087,1090,1098,1107,1116,1123,1135,1140,1151,1160,1166,1176	1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,16,25,27,39,46,58,67,76,82,90,99,107,115,119,130,137,152,156,165,176,181,325,327,335,349,353,366,374,383,389,395,404,414,422,435,444,467,604,613,619,631,642,645,655,668,677,682,692,696,711,717,721,736,740,748,757,770,779,782,789,797,813,819,829,831,844,853,857,868,876,888,898,903,913,923,930,934,950,957,961,969,977,989,1001,1007,1017,1019,1029,1041,1047,1061,1066,1072,1080,1095,1099,1109,1119,1124,1131,1144,1147,1156,1171	1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,21,32,39,46,53,66,76,84,90,101,111,116,125,131,142,145,160,168,178,187,318,334,338,344,356,367,370,382,394,397,403,416,421,436,445,447,608,611,624,626,643,652,654,664,675,681,687,701,706,714,728,730,737,748,757,763,777,781,795,800,809,821,824,835,840,851,858,872,877,890,898,903,913,923,929,938,949,955,964,974,981,988,994,1009,1011,1023,1032,1042,1045,1058,1063,1073,1079,1092,1103,1107,1119,1122,1130,1145,1154,1161,1169,1176	0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,11,19,32,38,44,52,62,69,77,92,100,105,115,126,135,139,146,160,165,174,179,325,333,339,348,360,363,377,378,394,402,405,420,426,433,440,462,603,617,623,631,641,648,653,668,674,681,692,702,709,714,727,734,742,747,758,763,777,781,791,797,805,816,825,835,846,849,862,871,881,887,897,902,909,925,928,935,942,954,962,968,983,990,995,1006,1015,1024,1030,1037,1051,1056,1064,1075,1085,1088,1104,1109,1116,1125,1133,1141,1153,1157,1170,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0
1,11,19,28,34,48,52,67,73,81,85,96,107,113,121,135,141,149,159,162,177,191,319,330,341,344,359,362,372,380,386,399,403,415,425,436,444,597,607,614,618,626,640,649,652,664,669,680,687,700,703,715,723,737,745,746,757,768,777,783,792,797,806,814,830,835,843,852,864,872,876,887,897,901,911,918,928,936,950,959,966,976,982,987,1001,1004,1011,1021,1032,1044,1050,1057,1066,1077,1082,1090,1099,1106,1116,1126,1133,1144,1147,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
8,15,19,32,39,49,52,61,70,76,89,98,107,118,121,128,144,145,153,167,173,193,325,331,339,352,360,361,375,385,387,403,410,420,423,434,440,596,606,617,618,632,640,645,653,667,676,683,690,697,704,713,727,730,742,747,762,763,775,785,794,797,812,822,826,834,842,852,862,871,882,886,896,908,913,924,926,939,948,959,967,974,980,989,997,1009,1014,1024,1028,1043,1050,1054,1064,1071,1087,1088,1104,1105,1116,1125,1135,1140,1147,1161,1170,1175	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,15,18,32,41,44,57,66,71,82,89,98,109,119,126,134,144,151,161,168,175,195,322,331,335,352,354,367,371,379,393,395,404,413,425,431,444,599,602,617,622,630,642,646,656,667,676,677,693,699,709,720,726,729,741,750,760,764,772,785,791,805,806,822,826,835,844,854,862,866,881,890,892,901,910,918,929,935,947,956,962,973,980,985,1001,1008,1012,1023,1030,1043,1046,1058,1067,1078,1086,1091,1102,1112,1121,1129,1137,1147,1153,1157,1168,1174	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
6,11,20,30,37,45,59,62,70,82,88,99,106,113,121,129,139,145,155,170,176,313,324,330,336,351,354,362,376,384,388,398,410,413,424,434,443,600,607,617,622,630,642,651,658,664,672,678,690,701,708,713,726,734,742,747,757,770,779,787,794,799,813,817,824,836,845,854,861,868,879,882,897,902,912,921,932,934,943,955,965,975,978,992,997,1009,1017,1026,1032,1039,1049,1060,1065,1076,1083,1092,1102,1106,1119,1128,1131,1147,1151,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,28,37,46,57,66,74,85,90,97,105,116,126,134,143,145,159,164,176,186,326,328,342,347,359,363,372,383,388,398,404,414,424,430,439,600,609,614,618,632,637,645,654,662,677,680,689,702,709,712,724,731,740,754,756,766,775,782,791,801,807,816,829,832,845,856,862,867,877,889,894,901,916,920,928,938,943,958,959,975,981,989,998,1006,1012,1027,1028,1043,1049,1056,1065,1070,1083,1095,1097,1106,1116,1125,1133,1140,1149,1157,1170	0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,33,39,44,56,61,71,84,90,100,106,114,124,128,136,148,154,168,177,180,319,334,338,346,358,362,374,383,388,396,408,413,425,436,440,468,606,610,619,628,637,651,659,662,671,683,694,697,707,714,728,732,737,748,758,764,780,786,789,803,813,820,830,835,841,849,859,867,881,884,891,901,910,923,927,938,948,951,960,969,978,988,1000,1010,1018,1023,1034,1038,1048,1054,1065,1074,1082,1089,1101,1106,1118,1126,1132,1144,1155,1156,1168	1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,13,22,32,37,44,56,66,73,83,89,97,107,114,123,131,144,148,155,166,178,180,318,331,337,349,357,364,375,381,389,400,411,419,428,429,438,597,604,612,618,631,642,651,658,664,674,680,688,695,703,715,722,735,742,752,755,766,775,784,789,801,810,820,826,834,846,856,861,870,880,883,896,900,916,917,928,938,947,955,966,974,977,992,1000,1009,1011,1024,1032,1043,1052,1053,1067,1073,1079,1094,1104,1107,1115,1126,1132,1143,1151,1156,1166	1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,19,32,36,50,58,59,74,83,89,97,107,114,119,136,145,147,157,165,177,180,323,331,335,351,359,364,375,383,389,396,403,416,421,429,441,469,606,617,620,628,642,650,657,660,672,683,686,703,705,716,721,730,745,749,760,768,774,782,793,799,808,815,827,836,845,851,861,866,880,890,894,900,916,923,932,941,943,955,964,970,979,993,994,1008,1013,1019,1031,1036,1052,1057,1067,1076,1084,1095,1102,1107,1118,1123,1134,1142,1152,1161,1169	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
4,10,19,31,35,44,54,66,73,83,93,96,110,116,126,128,142,147,158,166,177,179,325,329,341,347,352,369,375,385,386,401,407,420,422,433,438,597,605,616,618,628,643,651,655,664,671,678,687,699,709,712,725,734,740,754,760,769,772,780,791,798,813,818,828,832,842,854,865,866,875,890,897,904,911,921,929,934,946,955,964,970,982,991,995,1002,1014,1021,1034,1040,1046,1055,1064,1075,1086,1091,1101,1107,1115,1125,1135,1143,1147,1160,1172	1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0
3,10,19,30,42,48,56,60,69,84,86,102,104,111,122,133,143,147,158,163,177,183,323,327,339,347,357,361,373,381,387,402,405,412,423,437,438,468,605,610,621,629,639,649,652,668,677,678,694,701,708,715,727,736,739,749,763,769,774,787,797,804,813,821,825,838,844,855,858,870,879,885,891,900,914,922,927,936,947,956,964,973,977,988,996,1010,1017,1022,1029,1038,1050,1059,1066,1070,1086,1095,1103,1109,1117,1125,1138,1143,1154,1159,1167,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,24,27,34,50,56,65,73,80,92,97,106,115,123,134,144,145,154,167,176,313,321,332,343,348,352,361,374,382,390,396,410,419,422,435,438,598,602,613,620,629,641,648,654,666,675,680,688,699,705,719,721,734,738,747,756,768,772,786,789,801,810,816,825,840,841,851,864,869,875,888,893,904,915,920,928,941,948,954,959,970,980,987,999,1003,1017,1019,1034,1044,1045,1054,1069,1078,1081,1089,1097,1106,1118,1129,1133,1146,1153,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,24,29,39,48,53,60,76,80,85,95,105,117,120,132,141,153,155,170,172,313,325,329,342,348,359,368,371,384,390,395,411,418,428,435,442,597,602,609,622,630,637,644,654,664,677,680,688,702,707,712,722,732,743,752,761,769,777,785,789,797,810,822,824,839,842,850,858,874,876,889,896,906,911,919,928,941,950,959,961,972,980,989,999,1005,1016,1027,1030,1036,1046,1054,1063,1076,1086,1088,1096,1112,1119,1127,1136,1140,1150,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,30,38,47,55,61,72,79,87,97,110,118,124,136,144,152,157,169,175,313,323,329,338,346,355,364,377,380,394,403,404,419,421,432,439,465,605,611,619,631,637,649,655,664,670,682,690,701,707,715,721,731,745,747,757,765,776,783,788,801,812,819,824,838,844,850,863,873,874,888,893,906,913,918,930,935,945,954,960,973,985,991,997,1003,1017,1023,1034,1043,1047,1055,1062,1071,1083,1092,1099,1110,1118,1125,1135,1147,1150,1156,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,19,30,41,45,55,65,75,82,93,97,108,117,125,130,138,152,161,170,173,317,318,334,337,349,358,368,374,384,392,395,403,415,422,433,442,596,602,615,619,632,635,650,658,669,671,683,691,703,709,716,727,732,739,751,754,763,776,780,792,802,811,820,823,838,842,852,857,871,874,889,897,903,912,920,931,939,943,954,966,973,982,986,995,1006,1016,1021,1029,1043,1048,1061,1064,1078,1085,1088,1101,1107,1118,1127,1132,1139,1153,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,27,40,47,51,65,74,84,87,95,103,111,121,134,136,151,161,163,172,317,319,331,340,344,358,364,371,381,387,397,410,418,427,433,444,596,609,617,618,626,635,646,652,666,673,678,690,697,706,716,725,729,738,751,763,768,775,783,789,800,811,820,825,833,844,848,862,870,878,888,895,900,915,919,933,939,948,954,960,972,980,992,997,1002,1018,1021,1035,1043,1048,1057,1065,1073,1084,1094,1102,1112,1118,1130,1136,1142,1152,1161,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,26,35,44,55,63,69,78,93,99,108,113,121,136,140,147,156,167,172,317,320,328,340,351,359,367,370,381,387,395,410,417,426,433,443,458,608,614,621,630,642,645,655,664,674,678,694,695,703,719,721,734,742,746,759,768,778,781,789,801,808,817,826,837,840,856,862,866,875,889,897,907,913,917,927,942,950,958,965,971,981,990,994,1004,1013,1019,1034,1040,1047,1058,1064,1071,1086,1095,1096,1112,1120,1129,1135,1143,1155,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,29,35,44,56,66,75,80,86,102,103,116,123,135,142,149,158,167,178,313,323,328,341,352,356,368,372,383,387,396,410,420,425,431,439,596,607,610,624,631,639,651,653,662,675,682,689,699,704,717,720,731,739,747,760,771,773,786,795,799,811,817,829,839,845,855,862,869,880,885,893,905,915,916,925,938,949,953,961,972,977,988,997,1008,1012,1024,1029,1044,1050,1055,1067,1071,1084,1088,1103,1110,1121,1123,1138,1140,1154,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,32,38,48,52,66,70,84,85,101,103,116,120,133,140,149,161,170,174,317,319,327,338,348,360,361,374,382,390,395,409,412,424,436,441,600,603,611,622,630,642,651,652,663,674,682,693,696,708,719,723,734,745,747,754,768,776,782,792,800,813,821,823,832,845,856,863,869,875,887,897,900,915,921,929,938,946,959,965,973,979,993,997,1006,1011,1023,1030,1041,1050,1054,1068,1079,1087,1090,1097,1108,1116,1126,1134,1144,1152,1156,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,28,38,49,58,60,68,83,89,101,104,114,121,129,143,149,159,162,171,187,318,331,340,347,357,368,370,378,390,395,408,420,423,436,445,451,609,611,624,634,639,644,659,664,676,685,690,697,711,713,722,729,737,749,758,769,772,782,794,797,805,817,824,835,847,848,857,867,881,886,898,904,915,925,933,938,948,957,959,974,980,986,993,1009,1015,1021,1031,1040,1053,1054,1066,1075,1081,1090,1100,1106,1116,1122,1132,1141,1154,1164,1165,1177	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,10,24,26,37,50,52,68,70,82,88,98,105,118,119,136,141,148,157,163,174,316,324,329,335,348,356,362,372,383,393,402,407,414,421,431,446,454,602,615,625,632,641,643,652,667,671,683,692,700,710,717,725,736,739,750,761,770,779,783,794,802,811,815,829,831,847,856,859,873,882,887,893,905,910,921,929,939,945,951,967,975,977,990,993,1002,1012,1023,1030,1042,1050,1061,1068,1073,1083,1093,1098,1110,1117,1123,1136,1145,1148,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,32,38,49,59,60,75,80,92,96,105,117,127,128,138,153,156,163,177,314,321,330,336,344,354,364,370,381,393,403,409,418,423,435,443,462,600,616,619,626,635,649,655,662,671,684,689,696,707,720,723,737,742,749,755,767,779,786,790,799,808,822,827,832,842,856,865,872,877,884,899,906,912,918,928,936,945,952,960,972,980,990,996,1007,1015,1022,1032,1043,1050,1060,1070,1078,1082,1088,1101,1109,1120,1122,1134,1146,1151,1161,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,29,36,44,57,61,76,79,91,99,103,115,123,134,143,146,158,167,178,317,325,333,337,350,356,362,370,383,389,403,405,416,425,436,443,598,602,611,618,628,636,651,658,660,675,685,690,699,710,713,724,729,743,751,762,770,774,780,795,799,807,819,827,832,844,855,860,867,881,889,894,906,912,921,928,941,949,956,963,968,980,985,1001,1006,1018,1025,1030,1041,1052,1056,1066,1078,1080,1093,1098,1111,1116,1127,1131,1143,1151,1156,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,24,30,38,49,52,67,75,77,90,101,104,113,123,134,137,151,154,162,177,315,320,327,339,345,358,363,374,384,392,395,406,417,420,436,441,459,604,615,623,633,636,651,656,662,676,680,694,698,706,712,722,732,739,750,761,771,777,783,794,804,813,814,828,839,842,848,861,871,876,883,896,907,909,920,927,939,947,952,964,974,983,992,1000,1005,1014,1021,1033,1042,1050,1055,1069,1076,1087,1093,1098,1109,1113,1126,1135,1142,1151,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,26,42,43,55,64,75,85,88,95,107,113,125,131,141,153,161,165,171,189,323,332,338,345,354,361,371,384,392,395,404,418,421,435,440,600,606,615,622,632,641,651,657,665,672,681,690,702,708,720,729,735,740,752,762,763,772,787,797,802,812,820,831,835,843,856,863,866,881,887,895,902,908,917,931,940,948,959,967,974,976,988,997,1002,1011,1024,1028,1039,1052,1057,1068,1075,1080,1090,1104,1107,1114,1127,1135,1145,1150,1159,1172,1178	1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,14,24,33,37,49,56,60,73,82,88,97,105,114,120,131,139,148,159,165,174,317,324,327,339,351,356,365,371,385,388,400,405,414,426,431,438,449,602,611,621,626,642,647,654,665,676,683,690,700,706,716,720,737,739,750,760,769,776,788,794,802,810,820,828,836,845,854,863,868,879,890,893,905,911,921,931,936,946,955,964,975,980,992,999,1010,1013,1023,1032,1036,1053,1056,1069,1073,1084,1095,1096,1107,1118,1127,1136,1142,1155,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,22,32,39,43,54,64,75,80,87,101,105,116,120,136,138,152,158,163,171,313,322,328,338,351,353,362,373,381,390,399,407,413,427,434,444,599,609,616,624,629,643,650,659,669,676,683,692,700,711,716,722,733,743,746,754,768,775,784,790,798,808,817,824,836,845,856,857,873,876,882,899,905,910,923,926,938,950,951,967,973,984,987,998,1005,1012,1025,1032,1039,1046,1059,1067,1076,1086,1090,1102,1105,1115,1130,1133,1144,1152,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,29,36,49,56,62,76,80,91,99,107,112,125,134,143,147,161,169,171,316,323,330,341,347,353,369,377,382,390,396,410,412,424,432,442,600,607,613,625,633,639,650,652,668,674,683,693,703,706,717,726,736,744,753,761,769,774,782,791,804,813,822,828,836,847,854,859,869,877,882,898,906,916,917,930,941,951,956,960,970,985,986,998,1003,1018,1024,1033,1044,1052,1055,1063,1071,1085,1093,1102,1109,1118,1125,1138,1143,1149,1160,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,19,32,34,51,53,66,69,85,92,98,109,113,123,129,138,152,160,168,176,314,321,327,342,349,352,369,378,379,392,399,409,418,425,434,442,600,608,616,622,627,639,649,660,668,671,682,693,695,710,716,721,730,737,750,758,765,771,784,793,798,809,822,830,838,840,851,859,867,880,885,895,908,911,922,929,940,944,959,967,969,977,986,999,1002,1017,1020,1030,1040,1051,1060,1069,1073,1085,1088,1104,1107,1121,1127,1138,1146,1149,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,27,41,45,55,64,69,81,89,96,103,113,124,133,137,153,160,166,173,315,324,334,343,349,356,365,373,384,393,401,404,414,421,431,446,600,602,613,624,627,642,649,654,665,670,678,690,699,709,714,721,734,742,751,760,764,772,780,789,799,812,817,824,831,841,850,863,869,876,891,893,908,909,921,929,938,944,953,966,973,985,987,1001,1006,1013,1025,1036,1038,1045,1056,1062,1075,1079,1089,1097,1111,1119,1128,1130,1141,1151,1159,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,29,40,43,57,60,70,83,87,94,105,113,127,131,138,148,160,165,177,316,322,330,335,348,356,363,374,378,388,402,407,419,427,431,446,448,602,611,626,631,639,649,654,665,669,679,694,702,706,719,725,736,743,748,761,771,774,782,793,804,813,815,825,838,845,853,865,869,879,888,893,907,913,922,933,941,946,953,967,973,985,990,998,1006,1011,1022,1033,1037,1053,1056,1067,1076,1081,1091,1098,1111,1113,1126,1133,1140,1150,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,26,35,46,52,66,69,84,88,101,104,119,122,129,140,151,158,168,178,313,325,328,338,347,356,367,369,379,387,402,407,419,421,436,440,598,604,610,624,633,642,643,654,661,671,677,688,703,706,720,727,729,741,750,760,769,775,785,794,800,808,818,825,838,842,856,861,873,878,884,893,904,912,923,933,940,943,953,965,968,981,992,996,1004,1014,1021,1031,1044,1047,1059,1069,1072,1087,1089,1104,1110,1120,1125,1136,1145,1148,1160,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,28,42,44,53,67,71,79,92,95,109,116,121,134,144,151,158,167,179,314,324,331,340,347,360,361,375,385,393,399,404,415,421,437,443,598,603,611,619,629,636,646,653,665,670,685,687,701,709,712,726,735,745,754,762,767,778,785,790,799,811,814,823,839,843,855,857,870,878,888,894,900,916,921,931,934,949,955,967,969,979,986,996,1008,1018,1023,1029,1042,1049,1054,1069,1077,1085,1095,1103,1112,1115,1126,1135,1141,1150,1159,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,19,29,36,50,57,64,73,84,93,97,109,112,126,134,143,150,162,164,178,315,326,331,337,344,354,362,377,378,392,395,410,414,426,435,442,459,604,613,619,631,642,651,657,661,676,684,688,701,711,715,728,732,740,746,759,769,773,784,791,802,813,815,828,839,848,855,860,873,876,890,891,904,916,918,926,934,943,953,959,969,983,993,999,1003,1018,1019,1029,1036,1049,1060,1065,1074,1085,1094,1098,1105,1114,1122,1136,1145,1153,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,34,37,49,54,60,75,79,88,100,109,111,127,128,142,146,155,164,171,316,318,329,338,346,358,369,373,379,391,399,404,416,422,434,441,465,604,616,622,630,643,648,655,667,672,682,688,702,705,714,726,730,741,748,761,769,780,784,796,798,806,815,827,831,841,851,862,871,882,884,892,905,914,923,929,934,950,958,963,970,983,988,997,1008,1016,1023,1028,1043,1051,1058,1068,1077,1087,1089,1099,1107,1115,1124,1131,1146,1154,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,23,25,34,45,55,64,70,78,87,96,110,112,123,132,143,151,159,163,176,313,319,331,337,346,353,364,373,379,393,400,408,415,429,436,438,599,606,616,620,630,640,648,652,667,672,678,690,695,711,716,728,732,743,751,756,764,777,787,793,800,810,822,831,834,847,854,861,869,879,885,894,906,909,922,929,939,948,953,964,971,979,990,996,1005,1016,1026,1029,1044,1050,1061,1064,1072,1080,1090,1099,1111,1113,1127,1133,1139,1155,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,28,36,48,57,62,69,82,87,95,109,117,122,132,137,148,156,163,172,314,319,328,341,348,359,363,372,380,387,403,404,414,424,430,440,467,603,616,618,632,635,647,656,667,672,680,694,697,709,719,727,731,745,752,761,764,777,783,796,801,813,816,827,837,847,852,863,868,879,886,897,902,914,920,927,937,943,954,960,976,980,987,999,1003,1018,1026,1034,1038,1046,1054,1062,1076,1081,1094,1100,1108,1118,1128,1132,1140,1153,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,28,39,48,54,65,68,80,91,95,110,117,127,133,139,151,154,167,177,194,322,330,343,346,358,365,377,379,386,395,409,416,426,437,439,597,602,609,619,628,638,646,659,667,675,683,693,695,706,720,722,736,741,748,761,768,772,781,789,802,808,819,827,839,847,851,861,868,875,888,891,900,911,916,926,935,944,955,965,975,983,992,1001,1003,1013,1019,1029,1040,1050,1057,1066,1073,1085,1090,1102,1106,1116,1122,1137,1144,1154,1162,1165	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,19,29,41,44,54,64,71,77,91,97,108,117,124,129,141,152,155,166,175,182,324,328,341,351,353,361,373,383,392,401,404,418,429,431,445,600,609,615,623,631,637,646,659,667,672,684,694,699,710,717,721,731,744,751,755,767,777,784,793,797,811,816,825,834,847,850,860,871,881,890,892,904,911,925,928,937,949,953,964,973,980,985,997,1009,1017,1023,1028,1043,1052,1056,1067,1074,1085,1093,1101,1108,1118,1123,1135,1144,1150,1162,1171	0,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,18,27,41,44,57,63,71,78,91,101,108,112,126,134,139,152,162,168,172,182,322,332,340,345,359,365,376,378,387,400,410,412,426,433,440,468,604,611,618,627,639,652,657,668,677,683,688,697,706,716,725,731,745,753,757,770,779,786,790,799,808,819,829,838,842,849,865,873,875,887,898,900,908,924,928,942,949,956,967,974,976,990,997,1009,1017,1023,1030,1041,1052,1058,1062,1076,1083,1090,1098,1108,1115,1126,1132,1145,1148,1160,1170,1174	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,14,20,28,41,45,55,64,69,79,89,95,105,114,127,133,142,147,160,162,172,185,320,332,341,349,360,362,373,383,392,401,406,416,423,434,446,468,607,611,622,627,636,647,660,662,674,678,688,699,705,714,722,731,738,747,763,766,779,782,794,798,814,818,830,833,845,854,865,872,875,884,892,901,910,920,926,941,947,957,964,971,980,987,995,1006,1016,1027,1036,1037,1053,1056,1066,1077,1082,1090,1101,1108,1114,1125,1134,1140,1154,1161,1168,1177	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,14,22,32,40,48,57,65,69,78,93,94,110,112,127,136,137,149,159,169,174,180,319,327,340,351,354,365,373,380,392,397,405,415,428,433,439,462,606,613,622,634,643,648,653,667,677,683,693,696,711,717,724,731,745,753,756,771,772,788,795,799,813,815,828,831,840,855,860,866,876,883,892,900,916,918,926,938,947,955,967,969,983,985,997,1009,1019,1025,1030,1038,1045,1056,1070,1071,1083,1094,1102,1109,1115,1128,1134,1145,1153,1159,1171	0,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,19,27,35,45,52,62,74,78,87,94,104,113,125,134,141,146,161,163,179,195,319,335,337,345,353,365,376,381,393,401,412,417,424,437,438,596,605,615,620,633,639,649,656,662,674,684,689,699,711,717,727,736,742,746,762,763,774,783,789,798,811,821,828,832,842,855,860,870,877,887,898,899,915,924,926,937,947,957,960,976,981,992,995,1003,1013,1022,1032,1038,1052,1058,1063,1074,1084,1091,1100,1113,1117,1128,1138,1140,1148,1162,1167,1176	1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,18,27,40,49,51,62,75,80,88,101,106,113,122,133,145,151,161,170,176,181,325,327,338,350,355,361,374,384,390,395,410,418,421,431,441,599,601,612,626,634,640,646,653,661,670,682,692,699,705,712,725,730,743,749,760,765,777,780,795,799,813,820,828,835,841,851,859,874,878,887,898,904,915,917,930,936,945,953,960,974,980,989,1000,1004,1019,1027,1031,1042,1047,1060,1064,1073,1087,1091,1099,1109,1120,1127,1138,1147,1152,1159,1165,1175	0,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,22,30,35,47,59,67,68,84,89,96,107,111,123,133,140,151,157,168,179,180,319,331,336,348,357,366,371,379,387,403,408,417,424,432,443,596,603,611,620,634,635,646,653,665,677,682,692,703,706,718,723,733,738,751,758,766,777,781,792,799,810,818,824,836,843,852,861,870,875,885,899,907,912,920,933,934,944,951,960,974,979,988,1002,1007,1013,1019,1030,1043,1045,1057,1064,1074,1079,1090,1100,1106,1119,1123,1138,1146,1153,1157,1168,1176	0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,16,23,33,41,50,55,66,75,77,86,101,107,112,119,128,137,146,162,163,175,317,319,329,339,344,354,367,375,384,387,396,404,420,426,437,441,457,601,613,622,628,636,646,659,663,672,682,693,698,711,714,721,737,738,753,754,763,773,785,793,801,807,822,827,832,843,856,864,870,874,890,899,901,910,919,931,939,943,956,959,971,982,989,993,1005,1018,1024,1031,1041,1051,1055,1065,1078,1087,1094,1100,1106,1114,1125,1132,1139,1155,1156,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,22,31,40,43,52,62,71,82,86,102,104,119,124,129,143,148,161,167,177,180,325,333,341,347,357,366,376,381,387,395,408,420,425,434,444,597,603,617,621,627,641,650,657,662,672,681,687,698,706,714,725,733,740,750,762,768,778,780,794,802,812,814,825,833,840,854,864,867,874,884,895,905,912,921,931,935,943,955,960,976,983,986,996,1008,1015,1025,1034,1043,1051,1055,1065,1071,1087,1090,1099,1110,1119,1129,1132,1144,1148,1157,1165,1173	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,16,18,32,39,48,56,66,70,77,93,98,104,117,122,132,138,153,159,168,174,182,322,328,337,352,358,368,372,380,394,403,409,417,422,437,444,598,600,616,623,634,638,647,658,668,672,679,694,701,703,718,725,732,745,753,761,763,776,788,795,801,810,816,831,834,842,848,857,866,877,882,895,901,908,923,931,942,948,953,965,969,978,985,1002,1008,1012,1020,1029,1044,1047,1057,1069,1076,1079,1091,1101,1108,1117,1123,1134,1144,1151,1160,1169,1175	0,0,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,21,29,42,47,56,64,70,80,88,96,105,114,121,131,137,148,160,167,172,187,319,331,337,347,357,362,369,380,393,395,409,413,426,430,438,448,604,611,620,627,637,649,654,668,672,685,690,697,710,715,727,736,738,751,755,769,779,784,795,803,809,818,831,835,842,855,863,873,877,890,898,906,912,918,931,934,948,959,966,969,983,987,994,1007,1019,1020,1034,1041,1051,1056,1064,1074,1084,1092,1100,1111,1118,1128,1133,1147,1151,1161,1168,1175	1,0,1,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,16,18,27,42,47,56,66,74,82,89,96,107,112,125,133,137,146,153,169,178,180,324,333,337,347,355,361,371,381,389,398,408,419,426,432,445,447,607,612,621,627,642,645,653,664,670,682,694,702,703,713,724,734,743,750,758,767,777,783,789,802,806,817,824,837,840,850,860,865,879,883,896,907,912,918,928,941,943,953,960,974,985,990,995,1009,1011,1026,1036,1040,1052,1056,1068,1078,1086,1093,1102,1111,1118,1128,1133,1142,1154,1156,1168	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
8,12,17,29,37,47,54,64,70,77,90,95,109,111,127,128,136,146,154,164,177,179,326,333,336,345,358,361,371,385,392,401,408,416,428,437,442,596,608,616,618,632,642,651,655,663,670,678,694,700,703,718,726,731,742,753,755,767,775,784,790,798,813,818,825,832,844,848,861,873,879,887,891,904,910,919,932,937,946,954,963,972,980,993,996,1002,1019,1021,1035,1038,1050,1058,1070,1073,1080,1090,1100,1105,1121,1130,1138,1144,1150,1161,1172,1177	0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,25,33,34,47,51,60,72,84,92,94,104,116,122,136,143,147,156,165,172,187,323,328,340,350,359,363,370,385,393,402,408,412,426,430,444,596,602,617,619,627,636,650,655,666,673,682,691,696,706,718,725,731,741,751,755,763,776,783,791,800,809,820,826,834,844,854,861,867,880,890,895,906,910,924,927,941,949,957,962,972,984,992,994,1007,1017,1027,1033,1042,1050,1060,1069,1075,1087,1090,1101,1110,1114,1128,1136,1141,1152,1159,1171,1175	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,10,20,26,39,47,57,62,71,77,87,98,108,117,126,136,139,145,156,169,175,315,325,333,343,345,358,365,374,381,390,398,410,412,422,437,444,597,607,610,625,632,637,651,657,663,677,680,694,702,707,714,728,729,738,750,758,771,775,787,794,798,813,815,824,838,844,852,857,873,876,890,893,903,909,922,928,935,946,954,964,972,981,993,1000,1007,1015,1025,1028,1037,1047,1060,1069,1073,1085,1092,1096,1108,1119,1124,1133,1143,1153,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,21,32,39,50,59,62,70,77,89,101,111,118,123,134,140,145,158,169,178,315,320,331,336,346,357,368,371,385,393,401,411,419,428,433,437,455,605,615,621,634,639,643,654,664,671,686,691,699,706,714,728,730,739,750,760,763,772,781,790,802,806,818,827,833,846,852,862,870,882,884,895,904,916,918,929,939,943,959,963,970,982,987,995,1008,1015,1019,1030,1044,1052,1057,1068,1074,1084,1090,1100,1110,1121,1127,1131,1143,1152,1161,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,29,40,42,55,62,76,79,86,95,106,111,125,133,144,152,159,170,174,314,319,333,337,346,355,366,372,381,394,402,406,412,423,437,442,598,606,615,619,632,639,645,654,664,673,684,689,697,705,714,723,729,739,752,755,767,774,783,791,801,806,822,825,834,845,850,859,869,876,883,897,900,912,918,932,935,946,955,960,974,980,993,996,1006,1018,1019,1028,1039,1049,1055,1063,1079,1081,1096,1098,1111,1117,1125,1134,1139,1147,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,18,26,41,47,54,66,75,81,86,94,105,111,121,134,142,149,157,169,176,313,325,335,343,344,355,366,372,383,393,396,406,419,421,431,441,598,607,615,621,631,635,651,656,665,674,685,689,698,710,714,725,730,743,748,759,766,773,780,795,804,810,815,823,839,840,856,858,866,874,890,897,906,912,920,927,941,948,955,965,971,982,990,995,1006,1019,1025,1028,1044,1046,1055,1065,1074,1079,1092,1103,1106,1118,1126,1134,1141,1154,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,32,38,48,58,60,68,79,86,100,108,117,120,128,142,146,156,166,175,313,322,326,342,349,355,368,371,385,392,400,404,420,424,432,438,598,604,613,620,632,639,643,655,666,676,678,693,700,711,714,725,734,743,750,757,771,779,784,796,798,806,815,826,838,844,853,857,866,876,889,893,906,915,924,931,942,945,957,960,969,982,991,996,1006,1018,1023,1028,1043,1046,1059,1065,1074,1084,1092,1100,1109,1116,1122,1133,1140,1154,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,27,41,42,53,67,71,84,92,101,109,114,127,128,141,147,159,163,178,313,323,332,343,350,357,367,377,381,390,398,405,416,421,437,439,596,604,613,618,629,643,647,656,667,677,680,693,702,705,714,722,733,741,750,762,765,772,786,790,799,814,818,829,834,846,853,860,871,878,890,897,899,915,919,929,937,950,954,967,969,983,992,997,1009,1015,1022,1030,1044,1051,1056,1069,1075,1082,1090,1100,1108,1118,1124,1133,1139,1148,1163,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,32,38,44,58,66,72,85,93,95,105,112,125,132,141,153,158,164,172,314,326,332,343,347,356,362,375,379,390,402,411,419,428,437,440,600,602,616,619,631,643,648,656,662,670,684,693,695,703,716,722,737,742,754,762,764,779,788,795,798,807,816,824,836,846,848,857,866,882,890,894,902,911,920,925,939,947,953,961,969,984,990,996,1004,1016,1025,1036,1043,1045,1058,1069,1075,1082,1087,1099,1112,1116,1130,1134,1144,1153,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,32,35,46,56,62,70,82,87,98,104,115,125,135,142,146,157,170,174,314,321,329,339,344,354,367,371,381,390,400,411,418,426,435,439,596,605,616,620,634,638,651,656,667,670,682,688,699,705,713,726,734,739,747,756,763,779,784,789,797,813,820,824,831,841,850,864,872,879,890,891,904,913,917,926,939,943,951,962,972,977,991,996,1002,1012,1025,1031,1042,1047,1055,1064,1073,1082,1096,1103,1112,1120,1129,1132,1143,1152,1162,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,30,39,49,59,64,73,84,89,98,108,111,122,132,138,147,156,170,172,180,321,326,339,351,354,368,370,383,393,398,404,419,421,433,441,465,602,614,625,634,640,649,653,661,675,682,687,701,704,714,726,731,744,749,759,771,778,781,789,798,806,820,823,836,844,853,859,868,879,890,895,903,911,921,927,941,950,959,962,972,979,993,997,1004,1016,1022,1035,1043,1047,1060,1062,1071,1085,1091,1098,1110,1120,1126,1131,1140,1155,1163,1166	0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
3,14,24,27,35,49,55,61,76,79,89,101,106,116,120,129,141,152,154,165,174,314,319,327,341,348,360,364,377,378,394,396,407,419,423,431,439,599,605,617,619,631,637,647,656,665,674,680,694,701,706,716,726,733,738,749,762,763,774,781,791,805,810,818,830,836,841,856,863,872,878,885,892,906,914,920,926,938,943,951,964,974,982,988,1001,1010,1015,1026,1028,1038,1050,1055,1068,1074,1080,1094,1098,1107,1120,1127,1137,1144,1147,1163,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,19,32,35,43,55,67,74,78,87,102,110,114,123,130,136,146,156,169,175,317,325,330,342,347,354,366,371,380,393,396,407,415,427,431,438,599,609,613,618,632,641,645,659,661,671,681,689,703,705,716,720,734,744,748,762,764,773,782,790,803,811,819,824,837,844,856,861,871,878,889,897,903,912,925,928,939,946,953,962,971,979,990,997,1004,1011,1026,1029,1036,1051,1057,1066,1071,1087,1091,1099,1106,1117,1123,1137,1141,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,33,36,45,56,59,71,76,89,96,104,111,120,129,137,145,161,170,178,314,326,334,336,351,356,361,371,384,386,400,410,413,422,430,445,454,606,614,619,633,639,645,658,667,673,680,692,699,708,720,727,731,745,750,762,768,776,785,790,798,806,821,822,834,846,852,861,868,875,888,895,906,912,921,932,934,943,955,961,974,979,992,996,1003,1012,1021,1036,1040,1048,1058,1062,1074,1081,1090,1098,1105,1119,1126,1132,1146,1153,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,27,38,50,51,60,73,83,90,99,108,118,127,133,143,150,155,166,172,314,319,331,343,344,357,366,372,383,387,401,405,417,425,431,439,465,608,615,621,628,637,644,653,663,671,681,692,701,708,718,725,731,744,752,758,763,773,783,789,801,810,815,829,837,848,849,863,873,879,887,897,903,908,918,928,938,948,952,961,970,979,989,993,1009,1016,1022,1029,1043,1050,1061,1064,1070,1082,1089,1099,1111,1119,1128,1138,1141,1148,1162,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,27,35,50,57,66,73,77,92,100,106,112,123,129,144,152,156,170,173,180,323,332,336,348,355,361,372,381,392,399,407,413,425,436,444,463,608,612,621,631,641,644,657,662,675,679,689,697,709,715,723,729,737,751,755,764,772,784,791,800,809,819,824,839,843,851,859,866,881,885,899,908,913,920,928,939,950,953,965,969,983,989,1001,1008,1015,1023,1028,1041,1047,1059,1062,1078,1084,1092,1097,1112,1120,1126,1133,1145,1147,1161,1173,1174	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,18,28,41,49,54,62,69,81,86,99,103,112,125,132,137,148,158,170,176,313,324,330,338,344,357,364,375,381,392,400,408,415,422,431,438,598,605,612,624,633,635,648,656,667,669,681,689,703,708,719,724,735,743,748,755,763,778,782,792,802,808,816,825,839,840,850,859,873,879,888,898,904,910,921,927,939,946,958,962,970,982,990,997,1005,1019,1022,1033,1041,1048,1057,1064,1074,1085,1095,1100,1110,1113,1124,1137,1147,1150,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,22,33,39,49,58,67,68,82,92,100,104,113,120,136,137,151,156,164,172,317,324,326,341,349,357,361,372,379,395,399,406,413,429,430,442,462,608,616,623,630,637,645,660,663,675,679,694,700,704,713,727,731,738,753,760,766,777,788,791,802,811,821,830,836,844,857,861,870,881,890,893,906,914,920,928,936,947,953,964,972,982,992,1001,1007,1011,1021,1029,1042,1047,1060,1067,1075,1084,1091,1099,1112,1119,1122,1136,1144,1147,1159,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,20,33,41,45,54,66,76,78,90,98,106,114,125,134,138,145,157,169,176,318,320,327,339,346,356,365,374,380,389,400,408,419,424,432,446,468,606,610,623,630,641,650,653,666,674,681,686,697,705,715,721,733,738,753,760,767,776,786,796,801,808,815,823,835,847,849,858,872,878,885,897,904,909,924,927,938,945,956,962,969,978,988,997,1004,1013,1024,1034,1039,1045,1054,1065,1073,1083,1092,1096,1110,1114,1122,1137,1144,1154,1164,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,20,27,40,43,57,61,71,81,86,100,110,114,127,134,139,148,160,165,172,316,322,331,338,349,360,367,376,382,387,400,406,413,427,432,438,597,605,616,624,630,641,649,652,668,672,685,688,696,707,713,728,730,738,752,755,769,773,780,797,805,810,820,824,838,842,854,858,871,875,883,895,905,909,920,933,936,950,957,959,972,978,988,993,1008,1016,1025,1034,1037,1047,1056,1064,1077,1084,1091,1104,1107,1120,1123,1131,1145,1153,1156,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,24,30,40,43,53,66,75,77,93,96,103,115,123,130,138,147,161,163,178,313,326,327,342,347,359,366,375,378,389,400,405,414,420,430,437,466,605,610,624,628,637,647,653,666,673,678,691,695,703,719,725,730,741,751,755,763,774,787,790,803,807,818,826,838,846,849,861,869,878,889,899,903,910,924,925,942,949,958,963,976,980,993,998,1008,1018,1019,1035,1041,1046,1059,1063,1076,1086,1088,1101,1110,1117,1130,1137,1144,1149,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,28,34,49,54,63,71,79,86,96,107,116,123,133,142,149,159,170,172,313,325,334,340,348,357,368,376,385,392,402,412,419,429,433,438,598,607,610,626,634,641,644,659,668,672,682,690,701,703,719,725,732,740,746,759,766,772,788,793,797,808,815,828,834,848,851,861,865,876,890,894,908,914,920,931,942,950,952,967,976,979,988,1000,1002,1017,1025,1034,1042,1047,1061,1065,1070,1082,1090,1096,1110,1113,1122,1134,1140,1153,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,26,38,49,51,62,73,78,91,94,102,113,123,129,142,146,156,165,173,317,324,330,343,344,356,364,372,381,387,395,406,413,426,429,444,598,605,609,626,627,642,644,657,664,676,686,692,702,710,715,728,736,744,754,758,767,774,780,794,798,810,822,827,832,840,852,863,870,874,886,899,905,913,923,929,934,948,958,967,971,977,987,994,1005,1012,1023,1029,1038,1051,1059,1062,1071,1087,1092,1103,1106,1113,1123,1137,1146,1154,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,30,37,48,56,62,71,78,87,100,104,111,122,128,143,147,161,169,172,314,321,334,340,344,359,361,373,379,388,402,405,413,426,436,443,462,602,617,621,629,642,647,659,663,676,684,691,701,703,714,721,730,744,751,755,770,774,786,795,800,810,819,826,831,847,855,859,872,876,886,893,903,916,921,932,937,942,954,961,968,981,985,999,1003,1018,1019,1031,1041,1051,1058,1069,1070,1082,1093,1104,1108,1116,1121,1137,1143,1149,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,19,26,42,44,58,67,70,78,92,102,110,115,122,129,138,152,160,163,171,313,321,330,338,347,359,362,377,380,392,398,405,415,421,435,438,447,601,617,619,627,639,651,660,662,669,678,691,699,709,715,724,737,738,752,757,767,774,785,792,802,811,818,829,837,846,851,858,870,877,891,893,899,913,919,929,938,943,956,966,974,984,988,1001,1008,1013,1024,1029,1038,1050,1061,1062,1073,1084,1088,1096,1105,1121,1129,1134,1146,1152,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,28,34,49,59,66,75,77,91,96,110,111,125,135,140,146,162,166,172,313,326,327,339,345,356,367,373,378,389,395,410,412,428,434,442,597,605,617,619,634,637,650,659,663,670,683,686,702,710,715,725,735,744,746,755,764,775,787,793,802,811,817,824,839,841,856,863,870,876,890,892,904,912,919,930,942,946,958,964,968,980,987,1000,1010,1012,1025,1034,1038,1049,1054,1063,1071,1083,1093,1100,1107,1120,1128,1137,1144,1149,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,26,35,45,57,63,76,81,93,95,104,116,128,134,139,147,160,169,176,316,324,333,343,345,357,361,371,379,388,396,407,419,427,433,442,596,606,617,624,630,637,649,654,665,673,683,692,702,706,714,725,737,743,748,762,764,779,782,790,801,809,821,825,837,843,848,859,867,877,883,897,904,913,922,932,934,945,956,961,975,984,989,994,1002,1014,1022,1028,1040,1051,1053,1068,1075,1085,1090,1096,1109,1115,1125,1137,1146,1149,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,21,34,39,43,58,65,76,79,85,101,108,118,121,132,139,150,157,170,178,315,319,331,337,349,359,365,376,380,389,396,406,420,423,433,446,600,604,613,623,634,638,645,659,663,671,679,687,698,704,720,721,735,740,751,756,766,779,785,789,800,807,814,823,836,845,855,860,871,879,886,898,903,915,924,930,940,945,954,961,969,978,990,1001,1003,1015,1026,1032,1039,1046,1054,1067,1075,1084,1088,1104,1106,1116,1128,1135,1144,1149,1159,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,22,28,41,46,51,66,76,84,87,96,107,118,120,136,137,153,159,165,172,180,320,329,339,345,354,361,377,383,388,399,410,412,421,436,438,599,607,614,625,630,639,646,653,665,675,681,689,698,711,713,721,735,745,749,756,769,777,782,789,804,813,817,823,836,843,853,862,867,881,888,894,907,916,920,932,938,944,952,962,974,983,991,1001,1003,1018,1020,1035,1044,1047,1060,1067,1071,1079,1089,1098,1112,1119,1128,1137,1144,1153,1159,1168,1178	1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,18,27,40,51,56,64,76,84,92,94,110,117,124,135,143,145,154,163,170,202,318,330,339,346,359,368,377,384,388,402,411,420,423,430,442,598,603,610,619,633,638,651,654,665,675,682,686,700,707,717,729,732,740,751,756,771,772,786,788,802,806,815,830,836,848,850,860,865,882,885,899,907,914,924,927,942,943,953,961,974,979,985,995,1010,1014,1027,1028,1040,1045,1058,1068,1074,1083,1089,1101,1105,1116,1125,1133,1146,1155,1163,1167,1177	1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,24,34,42,48,52,64,72,80,88,102,107,115,122,132,140,146,158,165,173,185,319,329,336,351,359,364,372,378,389,399,407,416,423,433,445,599,608,611,618,629,638,647,658,667,670,678,691,701,707,718,725,733,743,753,760,770,778,784,791,805,808,817,830,831,845,851,857,871,874,883,892,905,910,917,928,934,944,956,961,973,978,987,1000,1007,1018,1025,1036,1037,1048,1060,1070,1075,1085,1092,1104,1105,1118,1125,1130,1145,1155,1157,1172,1175	1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,24,28,40,50,55,65,75,79,93,96,107,118,123,136,142,151,154,166,175,189,322,327,337,350,357,364,371,380,394,395,410,414,427,433,438,600,603,611,623,627,639,645,656,665,674,683,692,700,705,718,723,736,743,746,762,764,778,784,789,803,806,816,829,834,843,850,864,866,876,889,899,907,916,919,926,934,949,953,961,968,980,987,1000,1007,1017,1020,1028,1039,1049,1061,1069,1071,1081,1088,1103,1111,1116,1122,1136,1145,1148,1161,1172,1173	0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,16,21,31,35,46,58,66,68,83,89,95,103,117,120,134,137,148,156,170,173,184,326,328,338,350,355,364,373,384,389,402,404,419,429,436,441,598,606,617,621,627,639,651,656,667,669,683,689,695,705,716,728,736,743,750,761,763,772,781,796,799,807,814,824,833,845,852,859,869,879,891,896,907,911,918,928,937,945,952,962,975,977,989,995,1004,1017,1022,1035,1043,1051,1054,1064,1074,1084,1093,1104,1106,1117,1124,1133,1139,1149,1160,1169	1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,21,30,40,50,53,60,76,81,86,94,110,116,121,129,144,145,159,163,177,180,319,335,342,347,358,361,370,383,392,395,405,418,424,432,445,599,606,615,620,634,639,644,656,662,670,685,692,703,711,719,724,733,739,751,762,763,774,783,792,803,806,817,825,835,843,855,858,869,878,890,896,903,916,917,927,941,948,956,964,971,979,985,998,1007,1016,1022,1033,1038,1052,1056,1063,1076,1083,1095,1096,1108,1116,1125,1134,1139,1150,1161,1171,1176	1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,19,29,38,51,57,63,76,80,88,100,103,119,121,135,144,148,154,166,176,182,325,330,337,344,358,362,374,385,386,395,409,412,420,434,439,452,608,613,620,634,642,645,658,662,672,682,694,701,706,719,722,730,742,748,755,766,773,787,790,803,809,815,823,838,842,856,861,866,881,891,893,903,911,923,927,938,942,953,960,971,982,985,996,1003,1012,1020,1030,1037,1046,1061,1069,1072,1087,1094,1102,1111,1120,1129,1135,1144,1151,1160,1168	1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,21,29,37,46,57,63,75,77,93,100,109,111,124,132,138,147,156,168,172,314,325,331,338,350,354,364,371,384,393,399,405,418,427,434,444,596,608,617,620,629,643,647,656,668,670,678,687,696,710,713,727,733,745,752,755,770,772,782,790,802,808,819,823,836,846,852,863,873,878,884,898,899,914,923,930,934,942,956,967,970,983,991,1000,1009,1017,1022,1032,1037,1052,1060,1064,1077,1086,1089,1099,1111,1114,1125,1131,1143,1149,1160,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,27,41,43,53,64,74,81,90,94,107,118,124,136,137,153,156,165,176,316,322,328,342,349,356,361,369,378,387,401,408,418,425,435,438,600,601,614,626,631,638,645,656,667,674,683,687,701,707,712,725,733,745,753,760,767,774,781,793,799,807,816,828,839,843,848,858,870,879,888,899,906,910,919,933,938,948,958,967,973,979,985,995,1010,1012,1024,1031,1037,1048,1056,1063,1074,1080,1092,1099,1106,1120,1128,1131,1141,1152,1159,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,20,27,37,45,54,61,74,78,90,100,106,117,124,134,142,150,154,166,172,180,325,328,340,347,355,362,371,378,393,402,411,416,426,434,445,598,605,613,625,631,637,650,655,663,677,683,692,696,707,718,721,730,742,751,763,764,779,784,791,799,806,816,826,836,844,856,859,873,876,883,891,903,915,925,928,941,950,956,963,970,981,985,995,1004,1019,1025,1032,1040,1052,1055,1067,1071,1086,1089,1098,1110,1119,1126,1136,1144,1154,1156,1165,1174	1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0
8,16,23,28,34,44,55,59,72,84,85,100,104,116,122,135,139,147,159,167,174,190,320,328,335,344,352,365,375,378,391,403,410,416,423,434,442,599,605,612,623,633,635,649,658,664,675,684,689,701,711,715,727,731,741,750,756,766,776,785,793,805,810,816,831,839,843,855,863,868,882,886,895,906,910,923,927,941,947,954,963,972,981,993,994,1005,1013,1020,1031,1044,1052,1059,1064,1070,1087,1091,1103,1113,1121,1122,1133,1146,1151,1163,1166,1178	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
2,16,17,31,36,47,51,61,76,81,89,95,110,118,123,130,138,145,157,170,177,183,320,326,343,346,352,365,372,378,388,401,412,416,428,432,441,471,604,617,618,628,641,648,659,663,669,680,688,701,703,713,728,732,743,752,757,763,775,786,789,801,813,815,823,834,841,856,864,869,874,883,899,906,914,917,933,942,945,957,962,971,984,986,995,1002,1017,1025,1031,1043,1045,1054,1064,1074,1085,1094,1096,1108,1115,1125,1137,1141,1147,1163,1165	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,23,34,35,48,52,62,70,84,92,95,108,115,124,133,142,150,154,168,175,197,323,330,341,350,360,361,372,379,390,401,411,416,429,432,441,448,608,614,625,633,642,645,656,662,675,684,686,697,708,718,722,735,739,752,757,767,777,788,791,802,807,820,827,839,843,849,861,868,876,889,895,900,914,924,930,935,948,952,967,975,977,988,1000,1006,1011,1027,1031,1042,1052,1056,1066,1071,1079,1089,1098,1105,1121,1126,1137,1145,1152,1162,1167,1176	1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,25,30,41,44,52,66,71,83,90,100,110,112,122,128,138,149,155,170,178,184,320,327,343,344,360,361,373,380,390,400,411,419,423,437,444,463,606,610,626,628,641,643,659,661,673,679,690,700,707,714,725,730,737,747,763,766,779,788,794,800,812,815,824,834,843,856,859,865,880,884,892,907,912,917,930,941,944,953,964,972,980,986,998,1008,1014,1022,1032,1037,1052,1055,1069,1078,1079,1095,1100,1107,1117,1130,1131,1146,1150,1163,1172	0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
5,8,24,32,35,45,58,62,69,79,88,99,102,116,119,133,138,153,161,167,179,181,324,332,336,348,356,362,373,383,387,403,410,415,426,434,440,599,609,611,623,627,643,647,656,660,669,678,686,699,705,718,724,731,742,752,758,767,777,781,793,804,807,815,823,831,840,856,857,868,881,888,894,904,914,916,928,935,944,954,959,976,978,989,999,1009,1017,1019,1035,1038,1050,1061,1063,1071,1081,1088,1104,1111,1121,1128,1135,1140,1155,1161,1171,1173	1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,21,25,37,50,58,64,69,78,89,101,106,118,120,134,143,153,158,162,174,315,320,330,335,344,357,361,375,381,392,395,411,414,426,436,446,596,605,610,626,632,639,644,659,667,674,684,687,699,707,713,725,733,740,754,760,765,779,788,790,799,809,820,831,836,840,855,857,871,875,889,892,902,909,923,932,935,945,953,959,969,980,988,998,1006,1011,1027,1034,1043,1047,1056,1066,1077,1086,1089,1102,1106,1119,1129,1132,1143,1150,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,27,41,51,54,67,68,78,89,96,103,113,127,134,140,145,158,168,176,313,323,330,337,346,360,363,371,379,389,397,404,413,420,434,439,598,601,610,618,629,635,643,660,666,670,686,692,702,708,717,720,731,737,754,757,764,772,784,795,805,812,817,823,835,847,852,862,872,877,890,899,902,910,922,933,936,945,951,959,968,982,991,994,1009,1013,1020,1030,1039,1051,1055,1063,1075,1081,1094,1103,1108,1115,1128,1134,1141,1152,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,26,42,43,55,59,73,78,89,101,104,119,127,130,141,146,154,166,178,315,324,329,335,344,353,367,372,386,387,397,410,419,420,431,446,596,602,610,621,630,638,648,656,667,671,684,688,699,710,719,720,736,744,749,762,765,777,781,789,800,805,818,830,837,846,854,858,866,875,887,898,904,912,918,925,935,944,958,968,969,977,991,998,1003,1011,1021,1029,1044,1049,1054,1068,1070,1084,1094,1103,1107,1114,1126,1136,1140,1154,1157,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,22,33,35,47,53,60,72,85,90,100,106,115,121,129,144,152,154,163,176,315,318,329,340,348,354,364,371,386,388,398,404,412,423,435,440,463,603,612,620,633,637,648,657,664,671,682,693,696,709,717,724,732,740,746,754,768,778,787,793,804,813,817,827,838,844,853,865,867,875,885,898,901,913,917,932,934,944,959,961,975,977,988,996,1008,1012,1022,1029,1041,1045,1059,1069,1070,1081,1089,1102,1110,1114,1125,1133,1139,1152,1160,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,33,41,44,55,68,75,83,89,94,104,118,120,130,137,147,157,163,179,317,326,330,335,344,355,365,375,379,388,399,412,420,428,429,444,596,604,611,626,629,641,644,654,662,672,685,691,701,709,718,726,733,738,754,759,768,777,785,796,800,812,821,823,832,844,848,860,866,874,890,893,901,914,918,927,934,942,951,966,971,978,991,995,1010,1016,1021,1034,1042,1050,1057,1067,1073,1081,1092,1100,1109,1116,1125,1136,1139,1150,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,25,37,51,57,66,69,82,91,95,103,115,121,130,138,145,160,167,176,317,326,327,339,350,355,364,373,381,393,395,411,418,421,434,443,600,603,616,624,629,636,651,658,661,676,683,691,696,707,712,723,736,739,746,756,771,780,786,792,797,813,822,823,835,845,850,862,873,882,890,894,905,908,918,931,934,945,952,967,972,980,986,999,1005,1015,1025,1036,1040,1048,1053,1065,1075,1079,1093,1103,1109,1113,1126,1133,1146,1155,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,29,40,44,57,67,75,81,93,98,108,118,124,134,144,151,155,167,179,317,318,326,341,350,358,362,376,386,393,402,406,420,424,430,442,454,605,609,624,629,641,648,652,665,677,686,692,697,706,712,723,735,740,749,757,768,778,785,797,803,812,821,829,832,844,848,864,868,880,888,896,901,909,920,930,939,946,954,967,968,984,993,998,1006,1011,1020,1031,1038,1046,1056,1063,1075,1082,1095,1104,1105,1121,1123,1134,1145,1152,1161,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,26,37,51,57,66,71,83,92,99,108,117,124,134,142,151,155,169,175,313,325,333,339,349,355,362,376,381,392,403,407,419,426,433,442,599,603,612,618,627,640,649,659,662,672,680,688,703,705,716,724,731,745,752,761,767,775,781,792,801,807,819,825,839,843,852,863,869,876,889,893,901,911,917,929,935,943,952,960,970,977,993,995,1005,1015,1020,1032,1044,1051,1056,1067,1074,1083,1091,1096,1105,1117,1122,1133,1140,1154,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,21,34,41,45,57,60,69,83,90,96,110,112,121,129,140,146,157,164,175,190,320,333,343,344,356,362,369,380,390,396,405,419,421,430,442,460,601,613,620,631,637,643,659,663,669,679,694,696,711,719,724,730,744,747,759,766,779,781,792,799,810,819,823,834,844,853,859,871,875,889,892,907,914,920,927,934,943,958,965,975,982,987,997,1002,1015,1022,1033,1043,1047,1061,1063,1074,1079,1091,1096,1113,1117,1123,1130,1146,1147,1162,1171,1176	1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,12,19,33,36,46,58,65,72,80,88,97,107,117,127,130,140,152,157,167,173,317,325,333,340,350,355,366,377,381,393,400,411,413,427,432,445,596,601,611,625,629,635,647,659,667,672,685,687,696,711,714,721,729,744,754,760,770,772,780,796,797,812,821,828,837,847,850,861,871,877,887,897,900,908,920,930,941,944,956,963,973,979,988,1000,1003,1012,1025,1034,1036,1050,1054,1065,1073,1080,1092,1102,1109,1117,1126,1130,1141,1149,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,23,31,36,45,51,62,69,78,89,94,105,113,127,131,143,152,156,167,171,317,320,331,339,349,352,367,373,383,388,396,405,413,425,435,440,600,601,612,621,633,635,648,653,667,675,680,691,697,711,716,722,737,739,752,760,764,780,788,791,802,807,819,829,833,845,850,860,870,876,888,892,908,914,918,929,939,945,956,966,968,978,993,998,1009,1018,1021,1036,1042,1052,1055,1070,1078,1085,1090,1103,1107,1116,1123,1133,1144,1155,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,33,35,49,58,65,70,78,89,98,109,112,126,132,136,150,159,168,173,318,324,329,339,347,358,369,374,385,394,402,404,419,423,431,445,600,603,614,622,629,635,648,655,668,671,680,687,699,706,716,721,736,738,749,756,770,775,787,792,802,813,816,823,837,844,854,865,869,875,886,895,905,909,918,933,941,950,951,963,969,979,991,1000,1004,1018,1023,1030,1043,1048,1060,1062,1078,1087,1090,1102,1109,1116,1127,1136,1144,1150,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,34,38,48,54,61,74,83,92,96,103,113,119,129,140,150,160,165,176,314,321,332,337,346,353,366,374,386,394,400,409,420,425,437,443,463,602,615,619,628,640,651,660,668,669,685,689,697,711,714,720,736,742,746,757,764,772,785,792,798,812,822,828,836,848,854,859,868,875,888,899,904,916,919,929,934,944,952,963,974,985,990,994,1006,1019,1027,1029,1038,1049,1055,1066,1075,1086,1089,1102,1106,1118,1128,1137,1145,1148,1162,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,26,38,49,52,68,75,78,92,94,105,116,126,134,143,145,159,167,173,185,320,328,339,351,357,367,375,382,387,397,408,417,425,433,438,598,606,617,618,630,643,644,656,668,676,684,692,700,710,718,724,731,744,753,757,770,774,782,789,804,807,821,824,834,842,855,857,872,876,891,897,900,909,922,932,936,950,956,964,968,978,991,995,1008,1016,1022,1028,1043,1051,1061,1066,1077,1085,1090,1099,1108,1115,1129,1133,1141,1147,1162,1167,1175	0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,22,28,39,51,52,61,68,84,93,96,109,118,122,129,140,146,156,170,172,314,323,332,337,351,355,361,376,381,391,398,405,414,426,430,443,455,606,616,619,627,642,643,655,667,676,685,690,695,707,717,723,736,743,749,760,763,771,786,789,804,813,814,824,834,840,855,865,866,875,890,894,899,910,918,929,939,943,958,965,971,984,989,996,1003,1014,1021,1035,1042,1048,1061,1066,1075,1082,1088,1100,1112,1115,1125,1136,1144,1152,1162,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,18,27,37,50,59,64,72,84,89,101,109,118,120,131,143,145,158,162,172,316,320,330,335,349,358,364,376,382,394,401,406,418,424,436,439,599,604,617,624,629,641,646,657,662,669,680,689,697,708,719,724,737,743,753,759,765,773,780,794,802,812,819,825,833,841,851,863,872,881,886,892,902,915,925,928,940,950,951,964,970,979,992,998,1010,1018,1024,1031,1038,1050,1056,1070,1074,1080,1089,1098,1110,1118,1122,1134,1144,1148,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,22,30,35,45,55,63,71,82,90,99,110,113,120,134,140,146,154,163,171,315,318,332,342,348,354,367,371,381,388,403,407,419,422,435,440,597,603,616,621,630,641,650,652,665,670,682,690,701,706,720,728,733,742,752,755,767,776,783,791,805,807,819,826,833,846,850,863,867,882,889,891,904,913,925,929,940,946,958,962,973,978,987,996,1006,1012,1025,1031,1039,1050,1055,1064,1076,1085,1091,1098,1109,1116,1129,1136,1141,1151,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,24,29,39,47,58,60,75,78,89,99,105,117,125,129,139,149,158,163,174,315,326,335,338,346,356,362,375,382,391,398,411,420,424,433,439,456,601,611,620,626,637,643,658,661,677,680,694,701,705,717,725,731,741,752,756,764,772,780,792,802,808,817,825,839,841,852,857,870,881,886,892,905,912,922,933,934,943,953,966,971,979,989,995,1006,1016,1026,1028,1037,1051,1056,1062,1078,1085,1091,1100,1106,1116,1122,1134,1142,1150,1164,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,27,34,46,52,63,70,80,89,101,102,115,122,131,139,145,154,166,174,314,323,335,341,345,360,363,369,380,393,395,411,420,428,429,439,596,607,611,621,630,641,647,658,661,677,684,692,695,707,717,725,731,742,747,758,768,771,787,791,803,809,815,828,838,841,855,862,866,876,890,895,908,910,923,929,937,943,952,964,972,984,993,998,1007,1014,1019,1029,1039,1049,1059,1069,1071,1085,1090,1102,1113,1114,1130,1134,1140,1149,1160,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,26,36,49,54,61,76,81,91,95,104,116,121,128,143,147,155,165,174,318,326,332,336,347,355,365,374,379,391,400,405,415,421,431,444,600,607,610,624,629,642,648,658,661,673,681,694,696,703,712,727,734,738,752,762,770,772,782,793,799,812,820,823,837,844,855,863,872,879,886,892,902,908,925,931,938,950,958,964,973,984,985,997,1008,1015,1024,1031,1041,1052,1056,1064,1073,1081,1096,1098,1110,1117,1129,1133,1143,1150,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,27,40,47,56,61,71,77,93,96,109,117,127,131,141,152,161,169,173,315,322,326,340,351,359,363,377,382,393,402,403,419,421,431,438,600,605,616,625,631,643,647,655,663,671,685,691,699,709,713,722,729,744,747,762,765,778,788,792,798,808,814,823,834,842,853,862,866,881,888,892,907,913,924,927,941,947,955,967,975,982,986,994,1004,1015,1026,1029,1041,1050,1054,1067,1076,1082,1093,1099,1107,1119,1123,1132,1142,1151,1162,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,32,38,48,56,61,74,78,90,94,108,111,121,133,136,148,159,166,178,313,321,327,340,346,359,367,370,381,393,402,405,417,424,432,439,596,603,610,620,627,642,650,658,661,673,682,692,701,704,716,727,735,743,751,757,770,777,781,789,800,807,819,828,834,840,851,861,872,882,887,899,900,913,922,928,940,942,954,964,976,980,987,999,1009,1012,1023,1030,1037,1051,1059,1067,1071,1083,1092,1102,1108,1119,1122,1131,1145,1154,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,32,36,47,53,67,75,84,88,94,109,117,121,129,140,146,156,170,174,317,326,333,343,344,352,364,376,384,394,399,405,412,421,435,440,596,602,617,621,630,642,650,659,666,669,680,687,696,707,718,725,734,745,746,759,766,779,783,794,804,810,818,823,837,841,848,859,870,874,884,897,903,911,922,930,940,950,953,966,975,981,985,997,1002,1012,1025,1035,1042,1045,1059,1064,1077,1080,1096,1101,1112,1118,1126,1138,1145,1147,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,26,40,43,51,63,73,82,89,95,109,113,124,133,139,148,156,170,178,318,319,329,343,348,356,367,372,378,386,400,411,414,426,431,444,597,606,616,624,631,642,645,658,665,673,679,692,702,704,716,723,733,745,751,760,765,775,782,791,799,806,818,830,832,842,856,865,867,880,890,894,902,910,923,932,942,950,952,964,968,978,987,998,1004,1016,1025,1029,1038,1050,1058,1069,1073,1085,1091,1101,1106,1115,1125,1136,1143,1149,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,26,34,43,55,61,72,82,87,99,105,114,127,131,138,152,154,165,171,313,319,330,338,352,353,361,371,382,392,396,411,415,424,433,439,600,608,610,623,628,640,647,658,665,669,682,694,697,703,716,721,730,742,746,761,768,774,783,792,802,805,822,826,832,841,853,862,871,882,886,896,905,915,919,928,940,946,957,959,970,982,991,997,1003,1018,1022,1031,1040,1049,1054,1063,1077,1081,1090,1097,1106,1116,1127,1135,1141,1149,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,26,42,45,58,60,69,79,89,98,110,114,127,128,139,151,155,167,176,316,326,331,342,352,357,365,377,378,392,397,408,417,423,433,439,597,606,610,618,633,642,644,653,666,676,679,694,695,708,712,723,734,739,752,758,769,773,784,795,802,808,816,828,836,842,853,858,868,880,886,895,905,910,918,930,937,949,956,966,972,978,993,998,1010,1011,1020,1029,1040,1052,1057,1062,1077,1086,1089,1098,1112,1119,1124,1136,1140,1151,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,20,33,36,43,58,62,72,85,88,95,104,111,124,133,141,149,158,170,171,182,322,329,336,350,360,364,375,381,389,400,409,419,424,430,440,462,607,610,619,629,641,645,660,665,669,679,690,701,710,719,722,735,746,750,761,765,775,780,789,805,808,816,823,831,841,850,857,872,879,889,895,903,912,920,932,936,944,955,967,975,980,985,998,1005,1012,1023,1030,1044,1048,1054,1066,1075,1086,1091,1098,1109,1120,1127,1138,1144,1148,1159,1169,1177	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,10,18,30,41,49,59,62,74,77,93,96,108,114,123,136,142,150,156,166,171,193,326,334,342,346,357,361,377,379,393,400,408,413,429,433,442,596,604,612,622,629,643,646,655,666,670,681,691,701,708,716,728,729,742,749,760,763,772,785,796,804,810,815,829,832,842,853,860,870,877,884,891,902,908,917,933,936,943,952,960,970,982,991,995,1003,1016,1027,1033,1044,1051,1053,1064,1073,1083,1091,1104,1108,1114,1121,1138,1141,1155,1161,1170,1174	1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,13,20,26,42,49,52,60,69,80,89,101,110,112,127,131,142,153,158,165,170,190,322,331,337,347,353,365,374,383,394,396,411,417,423,436,444,463,608,613,618,631,636,644,656,667,670,683,691,696,708,714,724,735,738,747,759,765,777,786,791,805,807,817,826,833,844,852,858,867,877,883,898,902,916,918,932,935,950,959,967,969,977,993,996,1009,1013,1026,1029,1038,1047,1058,1066,1076,1084,1095,1101,1106,1115,1127,1132,1145,1149,1161,1172	1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1
5,10,17,31,36,43,55,65,76,79,92,96,104,117,121,130,144,145,161,167,171,184,319,329,342,347,356,361,371,385,387,397,409,420,425,431,439,455,601,611,624,635,642,645,657,661,674,683,688,696,710,713,720,730,741,748,760,769,771,782,791,799,813,819,827,834,846,850,862,872,877,889,893,905,910,922,928,935,949,951,959,968,982,992,999,1006,1011,1027,1030,1037,1052,1057,1064,1073,1079,1095,1100,1109,1121,1127,1131,1144,1152,1162,1170,1176	1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,23,30,36,50,53,63,73,81,93,97,105,116,123,134,141,149,155,162,178,187,325,331,337,349,355,364,377,380,391,402,405,413,428,434,438,452,603,612,620,635,639,648,652,667,671,678,689,696,707,713,729,733,739,751,756,766,777,781,794,802,812,819,823,834,846,850,863,873,879,885,891,900,911,921,930,939,944,955,966,974,980,990,996,1006,1013,1026,1028,1043,1050,1054,1070,1075,1080,1094,1104,1111,1118,1126,1137,1144,1154,1161,1166	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,21,28,41,50,55,63,71,83,91,94,105,111,125,131,142,150,157,170,178,188,322,335,341,346,358,363,377,385,394,401,410,413,422,431,444,599,604,612,626,633,642,650,654,662,669,682,687,697,705,714,726,734,741,750,760,765,775,786,794,802,809,817,828,837,843,853,858,868,877,890,893,907,916,918,925,938,950,959,965,975,978,989,994,1007,1014,1022,1029,1038,1049,1054,1069,1074,1086,1087,1100,1108,1121,1128,1135,1143,1150,1161,1170	1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,23,34,42,48,53,67,76,80,90,102,105,115,128,132,140,152,156,167,171,197,324,331,339,348,360,366,374,382,392,398,404,415,428,430,443,599,606,612,624,629,641,648,658,664,673,680,686,700,707,717,726,737,742,750,759,769,775,783,791,803,811,816,831,839,844,853,862,871,880,887,898,905,912,923,932,936,948,957,964,969,981,985,995,1009,1013,1019,1030,1042,1052,1056,1067,1075,1084,1090,1101,1108,1116,1128,1131,1145,1151,1159,1167,1178	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
6,13,18,29,42,43,54,66,71,81,90,96,110,112,121,129,139,147,156,163,171,180,323,333,343,348,354,367,370,382,387,402,404,412,423,431,444,598,602,612,621,632,638,644,658,664,674,684,692,695,707,713,723,731,743,752,757,770,774,786,792,801,809,814,831,839,844,852,858,867,877,890,898,907,913,922,926,940,943,958,960,975,976,991,993,1010,1011,1026,1028,1037,1052,1061,1063,1077,1086,1096,1101,1108,1116,1124,1136,1139,1150,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,11,17,27,40,47,52,63,75,82,90,98,103,115,123,134,144,150,153,166,178,315,320,329,336,347,357,363,376,379,386,396,411,419,421,435,441,596,602,610,623,629,643,651,657,662,674,678,689,700,703,716,728,731,741,746,759,765,778,780,794,800,808,817,830,835,840,854,861,868,876,883,891,905,914,922,927,937,947,956,960,972,982,987,995,1008,1018,1025,1029,1043,1048,1061,1068,1076,1084,1096,1098,1105,1118,1125,1131,1140,1148,1156,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,26,38,48,52,64,76,78,91,101,110,116,121,133,144,151,154,167,178,190,325,331,337,346,359,368,373,380,387,396,404,412,425,431,442,451,601,609,624,634,643,646,654,662,674,680,688,698,704,713,727,731,744,750,756,764,778,787,795,800,810,816,827,831,847,851,859,868,879,886,898,903,915,923,932,936,948,959,963,971,984,993,997,1008,1017,1023,1032,1039,1052,1058,1070,1072,1085,1091,1103,1110,1118,1125,1136,1141,1153,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,14,24,31,38,44,51,59,75,80,88,98,109,113,122,133,137,145,161,167,174,185,325,334,337,349,358,369,376,378,391,395,410,418,428,432,440,458,602,615,621,634,643,644,659,663,669,683,687,696,706,713,720,730,740,748,761,769,774,785,791,802,808,820,824,832,847,856,864,866,881,889,894,907,912,922,931,942,946,958,963,973,978,993,997,1006,1016,1024,1029,1038,1051,1057,1069,1073,1079,1089,1098,1107,1118,1126,1135,1141,1150,1158,1172,1178	1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0
4,16,18,29,39,42,52,67,71,77,87,97,108,118,120,129,141,153,154,165,176,190,318,334,342,350,357,364,375,382,388,400,410,417,428,431,443,597,602,613,618,634,640,646,654,662,673,680,692,699,709,719,721,730,745,749,758,771,780,788,791,799,807,817,826,836,840,852,861,866,882,888,892,901,915,922,931,940,947,951,962,971,983,985,995,1004,1017,1027,1030,1044,1052,1057,1070,1074,1081,1095,1099,1110,1116,1125,1136,1141,1153,1164,1169	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,23,33,36,46,52,66,73,79,86,101,102,118,128,130,140,146,161,166,176,183,325,334,337,349,358,368,371,382,390,396,404,413,422,436,438,599,604,616,618,626,640,644,654,666,677,686,691,696,705,718,720,736,740,747,755,766,779,782,794,798,809,822,823,838,841,852,862,869,876,889,893,902,910,923,929,940,949,952,963,969,979,992,998,1002,1013,1027,1034,1038,1047,1055,1068,1070,1086,1091,1098,1105,1121,1125,1132,1145,1154,1162,1165,1175	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,24,29,37,47,52,63,76,83,85,96,109,114,125,132,140,152,161,170,176,187,319,330,338,349,358,366,370,381,388,400,409,418,423,435,438,599,606,610,626,633,639,648,655,665,676,683,692,700,703,713,720,732,743,748,755,770,777,787,795,801,805,816,825,833,842,856,865,872,875,883,897,907,916,923,932,942,944,957,961,975,981,990,994,1006,1013,1023,1029,1037,1052,1058,1068,1071,1081,1088,1104,1109,1118,1128,1135,1140,1153,1164,1170	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,13,21,33,35,43,52,64,73,79,88,95,102,112,120,133,143,146,161,163,172,182,322,332,343,346,359,361,374,385,391,398,410,412,426,437,439,460,606,616,624,629,637,651,656,666,675,684,686,700,710,713,724,729,745,754,757,767,775,782,790,800,806,819,829,839,846,849,864,867,874,890,894,907,908,918,925,942,948,957,966,973,980,992,994,1006,1014,1026,1034,1044,1049,1055,1064,1071,1080,1089,1102,1108,1113,1129,1132,1140,1152,1159,1172,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,18,29,35,48,59,66,71,80,87,100,108,115,121,133,140,148,153,167,174,316,326,332,337,347,354,363,377,385,394,402,406,417,422,435,445,599,608,612,622,627,636,643,652,663,677,682,687,698,704,715,721,730,739,751,757,770,773,782,796,804,807,815,828,839,840,850,858,868,876,890,893,902,911,924,931,940,946,953,963,975,979,991,995,1010,1014,1020,1031,1042,1046,1053,1064,1073,1082,1089,1097,1109,1114,1129,1131,1146,1151,1159,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,25,34,43,52,64,68,82,88,100,105,112,122,133,141,150,161,170,174,316,319,330,336,345,360,364,377,383,392,400,409,419,423,431,440,459,607,613,618,633,635,650,655,664,669,686,690,699,709,718,720,732,742,750,757,765,773,784,791,797,805,822,826,832,848,853,858,866,878,888,893,905,912,922,926,940,949,954,960,971,979,987,1000,1008,1013,1027,1034,1036,1046,1060,1067,1073,1086,1092,1103,1112,1113,1127,1137,1143,1148,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,32,37,46,52,62,75,81,89,99,109,116,124,134,143,149,157,163,171,315,323,333,343,351,359,368,377,385,386,395,409,416,424,436,439,455,601,611,620,630,637,647,654,662,673,681,688,701,707,720,728,736,745,747,762,768,778,784,796,800,811,817,829,831,842,855,861,865,880,888,895,907,915,922,929,938,947,956,961,969,977,986,999,1007,1013,1023,1029,1037,1053,1057,1070,1074,1080,1094,1100,1105,1113,1130,1136,1140,1150,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,30,37,48,52,60,76,83,88,96,106,116,124,128,137,145,156,164,173,314,324,327,338,351,358,366,369,378,387,400,411,420,421,434,438,596,604,613,622,629,639,648,655,668,669,677,690,701,707,715,721,732,743,754,759,764,776,788,790,798,809,818,829,831,844,854,863,868,876,888,897,907,912,917,930,934,947,952,963,976,982,986,998,1002,1018,1020,1034,1039,1050,1059,1069,1072,1086,1093,1099,1111,1114,1122,1133,1146,1151,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,31,42,46,58,63,73,80,90,96,103,113,124,131,143,149,160,167,173,317,326,334,339,346,357,365,372,385,394,400,411,417,427,430,445,600,605,613,618,626,636,650,660,661,677,679,691,697,705,712,727,735,740,751,755,765,779,786,791,804,810,816,824,834,840,854,863,872,875,889,898,907,912,923,931,936,948,955,966,972,981,992,1000,1003,1017,1027,1033,1043,1049,1054,1063,1071,1080,1094,1101,1109,1113,1123,1130,1144,1155,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,30,41,48,56,62,74,78,93,100,108,115,123,132,140,146,159,166,172,316,321,328,338,345,355,367,375,380,393,398,404,413,428,433,441,454,602,616,621,632,638,651,657,660,670,678,686,697,709,712,721,737,745,750,758,771,778,785,793,803,808,821,829,836,848,853,861,868,876,886,895,902,911,919,926,935,943,951,967,970,980,991,994,1008,1016,1023,1030,1039,1050,1056,1068,1077,1084,1092,1102,1109,1115,1129,1133,1145,1155,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,31,35,44,56,66,73,83,90,97,108,112,126,134,143,150,154,163,175,316,319,330,341,347,352,364,372,380,392,399,407,414,427,435,444,600,602,611,620,633,639,651,660,668,675,680,694,695,706,714,724,732,742,751,758,763,777,787,791,804,811,815,828,839,846,850,865,872,882,887,891,902,913,923,929,940,947,955,963,974,981,992,998,1006,1013,1021,1036,1041,1051,1057,1066,1078,1082,1094,1101,1112,1120,1128,1138,1145,1155,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,32,39,44,54,61,69,80,88,101,106,114,127,129,139,153,155,168,173,314,325,328,342,345,353,363,371,381,389,402,408,419,425,434,445,599,609,611,624,633,643,648,654,666,676,685,687,694,706,716,724,733,741,754,757,767,775,787,793,797,812,821,823,838,843,855,862,866,878,885,895,901,913,917,930,939,943,952,960,971,983,989,1000,1008,1015,1020,1031,1039,1046,1054,1064,1075,1079,1092,1097,1107,1121,1127,1134,1142,1152,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,33,37,48,56,65,74,82,88,101,104,113,124,135,143,148,154,169,175,181,323,326,339,348,354,364,376,384,386,396,409,413,421,437,446,456,602,611,626,630,637,648,657,662,675,680,690,698,705,719,725,734,738,749,757,766,775,785,790,798,812,817,829,837,843,855,861,869,880,890,896,903,909,924,929,940,946,957,961,974,978,986,994,1008,1013,1019,1030,1044,1046,1053,1068,1070,1084,1094,1098,1112,1114,1124,1131,1139,1147,1164,1166,1177	1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
6,12,22,29,40,50,59,64,69,80,87,95,104,118,126,136,142,146,160,166,172,313,319,335,337,350,355,365,376,386,393,396,406,413,428,433,442,457,607,617,622,628,635,643,658,667,676,685,689,698,707,718,724,732,745,754,759,766,775,784,792,799,807,820,830,836,847,854,857,866,877,883,897,905,910,925,926,936,946,958,967,970,980,993,998,1004,1013,1025,1032,1036,1052,1058,1067,1076,1085,1087,1098,1107,1114,1122,1130,1143,1151,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,26,40,44,51,65,74,78,92,94,108,113,126,128,137,147,161,165,171,318,321,330,341,350,360,369,374,380,395,396,411,414,424,437,446,470,606,614,618,630,642,648,657,666,672,685,691,702,711,713,727,730,744,746,757,766,779,780,791,797,812,819,824,834,840,855,861,872,880,890,895,906,914,920,927,940,942,951,963,971,981,992,997,1002,1010,1026,1031,1040,1045,1058,1064,1071,1085,1090,1096,1111,1114,1123,1132,1146,1148,1160,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,28,34,45,52,66,73,80,93,96,108,119,127,128,138,147,157,162,171,315,326,331,341,346,354,366,373,380,386,395,403,415,426,434,444,596,602,617,624,628,642,650,660,662,674,680,686,701,708,719,723,732,743,748,760,766,778,786,794,802,813,817,825,837,844,855,862,869,876,889,896,906,912,920,932,939,946,957,963,969,977,991,1000,1003,1013,1023,1031,1041,1051,1058,1062,1073,1082,1091,1102,1110,1113,1127,1133,1147,1154,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,17,26,42,45,52,63,75,84,87,102,103,113,121,130,138,147,161,167,175,316,322,328,343,348,352,364,376,379,395,399,406,412,429,432,438,466,605,612,625,634,638,651,657,668,677,678,688,697,706,719,726,731,741,750,758,764,772,788,794,804,812,815,826,837,846,851,858,869,880,887,899,905,911,921,930,937,950,953,960,972,983,986,994,1008,1018,1020,1032,1043,1050,1055,1063,1076,1080,1088,1101,1105,1115,1125,1137,1143,1155,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,24,30,37,44,52,64,74,81,91,100,104,118,122,131,143,151,159,168,175,185,318,334,340,347,356,362,375,378,393,402,409,414,426,430,438,599,607,617,623,628,641,651,655,664,669,679,689,699,706,717,725,732,744,752,755,765,776,781,791,803,811,822,825,836,844,850,863,873,881,887,892,903,913,924,928,937,943,955,966,970,981,990,1000,1005,1015,1025,1028,1040,1048,1054,1067,1077,1084,1090,1099,1110,1117,1130,1131,1145,1147,1157,1168	1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,25,28,38,49,52,67,68,76,91,97,103,119,121,136,143,151,161,166,177,316,318,333,343,351,356,363,375,378,386,398,407,417,421,435,441,467,601,614,618,634,639,651,655,668,671,682,693,703,708,718,722,736,745,749,762,766,778,781,796,798,808,815,823,833,841,857,858,866,875,884,891,903,913,917,931,942,948,954,966,973,976,990,1001,1005,1015,1021,1032,1038,1047,1057,1068,1078,1085,1095,1097,1111,1118,1121,1131,1142,1147,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,23,31,36,47,55,68,76,80,88,94,107,111,121,134,138,152,161,164,179,314,321,332,337,345,355,365,377,378,390,401,409,415,424,431,437,463,603,610,626,631,640,649,652,663,675,685,688,695,709,712,726,737,742,753,758,765,773,784,795,801,812,822,830,838,847,851,859,870,881,890,898,904,916,923,927,941,950,951,964,976,981,985,997,1005,1017,1027,1032,1044,1045,1061,1067,1078,1079,1089,1098,1108,1116,1124,1134,1147,1148,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,26,40,45,51,63,69,84,91,94,106,111,126,128,139,146,154,162,178,315,320,331,335,346,356,365,370,381,389,396,408,415,424,435,442,597,605,617,624,630,636,650,660,661,674,685,690,698,703,715,728,736,742,754,757,771,774,787,796,804,806,815,825,838,841,851,862,867,880,885,897,904,913,917,926,938,947,952,965,974,979,990,1000,1004,1015,1026,1028,1044,1051,1059,1064,1074,1085,1092,1103,1111,1119,1126,1132,1146,1153,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,24,25,38,44,55,62,71,76,86,95,103,117,121,136,141,151,155,165,176,315,320,328,343,351,353,364,378,386,394,395,405,420,421,437,442,597,601,616,625,631,642,643,659,664,670,680,691,701,707,715,723,733,743,752,759,765,775,781,791,801,808,816,828,834,848,854,863,868,876,890,898,906,912,922,932,936,945,958,967,974,984,987,997,1010,1011,1024,1034,1039,1052,1053,1068,1078,1080,1088,1103,1104,1119,1122,1132,1144,1148,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,22,29,42,48,52,68,73,84,86,95,102,118,122,129,139,147,162,165,175,316,319,327,339,348,359,365,371,384,389,401,406,418,425,433,445,598,607,613,623,628,643,649,659,665,670,681,694,696,711,719,725,735,739,750,755,771,776,784,790,798,812,821,829,832,844,852,857,869,880,890,894,904,910,924,927,935,950,958,965,970,976,992,997,1008,1010,1019,1033,1043,1051,1061,1067,1079,1080,1096,1104,1105,1114,1125,1134,1139,1152,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,24,33,42,45,59,65,71,83,89,98,105,119,127,134,144,151,157,170,178,313,324,327,335,344,358,368,376,382,387,401,406,413,420,434,442,456,604,617,624,630,641,645,655,666,670,678,693,699,703,715,725,736,738,750,761,768,776,788,796,798,809,816,830,838,847,856,861,866,878,889,899,901,916,922,926,939,950,957,961,974,979,987,997,1005,1019,1027,1035,1041,1049,1059,1063,1072,1086,1094,1096,1107,1119,1125,1134,1140,1155,1156,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,31,35,50,59,62,75,77,87,94,105,118,121,132,141,150,154,167,177,313,326,332,336,345,353,368,370,385,387,401,406,419,422,431,440,456,602,611,621,632,642,643,658,668,676,685,687,698,708,718,726,731,740,747,758,770,775,781,789,798,811,817,824,833,840,851,861,865,882,886,892,907,913,922,930,939,942,954,963,973,981,985,994,1010,1014,1024,1029,1038,1049,1061,1068,1071,1083,1093,1103,1108,1116,1121,1136,1142,1151,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,31,38,49,57,65,75,84,89,97,105,115,120,131,143,148,162,166,175,313,322,328,342,344,352,363,372,386,394,402,411,418,428,432,445,471,601,613,626,629,639,645,659,661,677,682,690,700,709,718,724,737,743,751,761,770,773,782,794,805,813,814,830,832,844,849,862,873,875,889,894,903,916,921,931,938,947,952,963,976,977,989,999,1008,1014,1023,1029,1042,1048,1055,1068,1072,1081,1089,1104,1110,1117,1130,1135,1142,1147,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,29,35,47,57,61,71,84,87,94,104,113,120,129,142,148,154,169,171,314,326,331,342,352,358,367,372,384,388,402,409,420,428,432,441,463,601,616,618,632,640,646,658,664,677,685,686,700,711,716,727,735,740,750,756,769,775,781,788,800,813,819,828,835,847,851,858,872,878,885,895,908,913,925,929,935,947,955,963,970,979,990,994,1002,1012,1025,1031,1040,1047,1059,1069,1072,1082,1093,1100,1105,1114,1124,1134,1141,1152,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,26,42,47,56,66,75,85,89,101,106,112,125,134,143,150,159,165,175,317,319,334,337,346,360,365,377,379,392,399,409,414,426,434,438,451,608,617,623,634,635,647,659,660,675,684,689,701,705,715,726,735,742,752,761,765,771,787,793,798,809,816,824,836,842,850,861,869,881,883,891,907,910,921,926,940,943,952,960,968,979,993,999,1006,1018,1027,1032,1040,1050,1055,1067,1074,1079,1092,1103,1105,1115,1125,1132,1145,1155,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,22,31,39,47,53,60,69,79,89,95,102,115,125,133,139,145,156,169,171,316,325,334,341,352,360,365,372,381,390,396,409,412,426,431,445,597,608,617,625,627,640,648,656,665,674,678,688,701,707,714,726,737,741,752,760,769,779,788,795,798,807,815,824,839,848,849,859,865,878,886,897,907,912,919,925,934,948,951,965,976,980,993,999,1006,1013,1027,1031,1039,1045,1060,1062,1072,1083,1089,1096,1108,1116,1130,1136,1147,1150,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,31,40,46,55,59,69,77,88,100,104,113,125,131,142,147,154,163,177,315,320,329,338,351,354,362,370,381,389,396,408,420,425,433,441,469,605,614,620,629,642,646,657,661,674,683,689,702,706,712,721,735,738,750,756,771,778,788,790,803,809,819,831,833,840,849,863,872,876,883,899,900,908,918,927,937,947,959,961,974,981,986,999,1007,1013,1027,1031,1043,1050,1057,1062,1074,1079,1089,1098,1107,1118,1123,1131,1141,1154,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,24,31,41,49,55,61,68,78,92,101,105,111,123,134,139,150,161,164,176,196,323,333,337,350,354,368,375,381,394,400,405,420,425,433,442,449,608,616,618,627,641,649,652,663,673,682,688,701,711,718,723,731,745,749,760,768,775,783,797,805,812,817,830,837,844,851,862,867,881,890,892,907,912,920,927,938,943,955,965,975,977,992,995,1009,1016,1021,1033,1044,1046,1058,1066,1070,1086,1092,1099,1105,1115,1127,1135,1145,1149,1159,1165,1173	1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
7,15,20,28,37,43,52,60,74,79,90,99,103,111,120,132,138,151,153,162,171,255,321,327,336,344,353,364,373,382,391,398,408,414,425,436,438,459,603,611,621,632,638,648,656,668,671,685,694,695,704,718,724,736,743,750,761,764,777,782,795,797,810,817,825,834,846,852,862,870,881,888,894,903,909,923,926,940,947,955,967,972,979,990,997,1004,1013,1022,1035,1043,1048,1055,1065,1074,1083,1087,1097,1110,1116,1125,1136,1142,1152,1163,1171,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
4,11,22,29,41,44,58,67,69,79,85,99,104,118,123,136,141,145,160,165,174,183,321,328,335,349,357,367,377,379,393,400,409,415,423,431,439,458,604,613,624,631,635,652,654,667,670,684,691,696,709,712,728,732,739,746,757,768,776,782,793,798,811,820,830,833,841,856,859,873,882,891,896,904,912,923,926,935,946,952,961,968,981,990,998,1009,1014,1024,1033,1042,1048,1058,1066,1072,1081,1091,1103,1106,1117,1121,1134,1145,1148,1157,1166,1173	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
2,16,25,33,42,46,56,67,72,80,92,94,104,111,119,130,139,151,155,168,175,318,319,332,343,344,359,369,371,381,391,398,411,420,426,433,445,598,607,617,618,628,642,650,659,662,672,680,689,702,708,719,723,731,742,751,757,764,773,782,793,797,807,814,825,833,848,854,862,872,875,885,894,905,916,919,930,936,943,956,964,973,979,991,994,1009,1016,1020,1031,1044,1048,1058,1067,1077,1081,1093,1103,1112,1114,1129,1137,1147,1152,1164,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,12,24,29,37,44,54,63,72,78,86,101,107,117,120,129,144,150,154,166,175,200,319,333,340,345,352,369,376,382,390,395,411,417,423,435,440,468,601,614,621,630,642,651,656,662,675,683,690,700,704,714,725,734,739,749,754,770,771,781,794,802,809,815,828,833,844,851,865,866,876,884,899,905,912,920,928,940,947,956,965,974,977,990,994,1002,1012,1027,1035,1044,1049,1057,1066,1073,1084,1093,1098,1111,1117,1124,1134,1139,1148,1157,1172,1177	0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,15,21,31,35,45,52,62,70,81,91,101,107,114,124,131,139,153,156,168,178,179,323,328,335,347,357,364,371,378,387,398,403,419,426,432,438,456,604,611,624,629,636,643,656,663,673,679,692,695,703,716,723,734,738,749,760,764,771,785,790,800,813,814,823,835,846,852,857,865,878,889,898,904,913,919,931,935,949,953,960,969,984,987,997,1003,1016,1020,1031,1038,1050,1058,1063,1077,1084,1094,1097,1112,1116,1129,1137,1144,1154,1157,1165,1174	1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
7,9,17,31,37,44,56,60,73,79,86,94,106,118,127,132,142,151,153,164,172,182,324,328,337,350,358,365,372,380,388,395,404,419,424,433,443,598,609,615,621,632,636,648,657,662,669,683,689,703,707,712,725,731,744,748,758,765,771,780,790,797,806,818,823,837,846,848,858,869,877,889,892,901,915,919,928,935,947,953,967,972,978,991,1001,1004,1012,1022,1029,1040,1052,1053,1068,1072,1083,1089,1098,1112,1115,1129,1132,1143,1152,1157,1171,1177	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,24,29,38,48,57,65,71,77,89,95,109,118,126,128,142,150,156,170,174,185,319,333,336,347,359,361,372,386,390,401,411,414,427,434,441,599,604,614,623,628,637,650,658,661,675,683,689,699,703,719,721,735,743,746,758,771,779,787,796,797,807,822,831,834,845,855,861,871,876,884,893,907,913,920,933,934,946,958,961,969,978,990,993,1008,1016,1021,1034,1042,1045,1057,1065,1071,1085,1095,1101,1111,1118,1127,1134,1146,1151,1160,1168,1175	0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,21,30,42,44,53,64,72,78,86,95,102,116,125,128,139,149,155,168,178,318,325,330,340,349,353,365,370,379,387,396,408,420,427,434,444,460,601,616,619,626,642,648,654,664,670,679,691,695,704,718,721,736,741,751,756,764,773,784,792,805,811,819,825,832,846,855,857,867,880,889,895,904,913,919,930,939,950,959,963,976,980,985,995,1002,1011,1020,1031,1039,1051,1053,1062,1072,1083,1090,1102,1105,1118,1129,1138,1145,1154,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,25,28,39,47,59,62,69,81,91,94,107,111,119,133,137,148,159,167,176,180,321,330,337,351,352,365,375,384,391,401,405,419,424,432,443,599,605,614,618,631,642,650,652,661,673,684,686,700,708,713,727,729,741,752,762,763,775,784,790,799,807,820,830,839,845,855,861,868,875,889,898,900,912,924,931,939,946,952,959,973,977,985,999,1003,1013,1024,1031,1041,1048,1055,1069,1076,1082,1088,1103,1104,1120,1126,1132,1147,1155,1160,1172,1173	0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,10,17,30,40,49,55,65,71,84,87,100,103,117,127,130,141,147,157,167,177,183,319,328,341,346,356,368,375,378,387,398,409,415,426,430,440,596,602,616,621,627,642,645,654,665,672,685,694,702,711,713,726,730,743,749,756,770,778,781,789,801,806,815,825,834,844,856,858,868,875,885,895,906,912,919,930,934,948,959,963,969,983,989,1001,1008,1018,1026,1030,1041,1047,1061,1068,1078,1086,1088,1103,1110,1119,1129,1132,1143,1152,1161,1166,1173	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,10,19,29,39,44,56,64,74,77,88,102,103,112,125,129,139,152,159,170,171,180,322,331,340,345,360,364,374,382,394,401,412,417,421,432,441,468,607,614,620,631,639,643,659,665,677,682,689,698,703,717,725,734,737,750,757,771,777,783,790,805,813,818,829,835,840,851,860,871,877,886,891,900,910,923,928,941,947,951,963,971,980,991,996,1007,1016,1023,1029,1042,1045,1056,1067,1072,1083,1093,1101,1109,1119,1126,1132,1142,1153,1158,1164	1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
4,9,17,30,37,51,59,67,72,83,89,98,110,117,126,131,138,150,160,165,175,180,324,326,336,345,359,361,373,380,388,402,406,413,429,432,440,456,602,615,619,629,640,650,654,668,672,682,693,697,707,716,723,733,743,749,762,764,775,786,794,798,807,821,825,835,848,850,862,866,875,887,893,904,911,921,928,942,944,957,960,969,980,986,995,1007,1017,1027,1035,1038,1050,1057,1062,1078,1085,1089,1098,1106,1117,1122,1134,1146,1151,1160,1167,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,25,26,35,44,52,67,72,78,91,99,109,112,125,134,140,151,160,167,172,183,325,329,343,350,360,367,372,382,393,402,409,415,424,430,438,600,604,614,624,626,640,646,654,661,671,680,692,695,709,713,725,732,744,750,762,771,778,782,791,803,808,815,826,833,847,856,858,873,875,885,895,902,910,924,930,939,949,958,963,968,978,986,1002,1005,1016,1023,1031,1043,1045,1057,1063,1076,1086,1091,1103,1108,1118,1125,1131,1143,1155,1157,1171	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,14,22,26,42,48,56,62,73,78,89,98,110,118,125,129,139,148,161,164,171,180,322,328,340,347,355,367,376,378,386,401,410,414,423,434,441,599,606,611,626,633,642,643,653,664,670,684,688,700,703,713,722,736,741,746,754,763,778,781,791,800,809,814,824,836,848,849,858,872,875,889,891,907,914,921,928,934,950,952,959,968,981,993,994,1002,1014,1025,1030,1042,1047,1061,1070,1073,1080,1089,1100,1111,1119,1127,1132,1142,1153,1156,1169	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
7,13,24,30,40,46,58,66,74,78,89,96,105,117,120,133,141,146,161,166,174,317,321,329,335,351,354,368,373,385,394,395,410,420,425,435,440,596,605,616,619,632,636,646,660,668,674,683,690,695,709,719,728,729,742,751,762,768,773,786,791,804,813,820,829,832,840,852,859,874,877,883,894,905,908,921,925,937,946,959,961,972,980,986,995,1010,1018,1026,1034,1043,1045,1059,1070,1076,1083,1089,1097,1108,1121,1122,1136,1141,1150,1158,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,28,35,43,59,64,73,77,86,99,107,116,127,135,140,152,156,163,176,314,322,329,341,352,360,363,374,382,392,403,410,419,427,436,444,469,604,611,625,629,636,648,655,664,676,684,686,698,710,717,722,730,741,750,758,765,777,787,790,804,808,815,827,837,843,850,862,870,882,889,895,905,914,921,930,938,949,953,961,972,977,987,999,1005,1011,1027,1031,1044,1052,1057,1067,1074,1080,1092,1097,1106,1114,1127,1131,1141,1155,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,27,41,50,58,67,74,78,90,94,106,114,127,128,136,147,154,162,174,316,325,332,343,346,353,361,370,383,391,402,405,419,423,432,439,459,605,612,619,635,637,644,654,663,674,678,691,695,711,712,727,735,743,748,755,767,774,786,793,803,812,819,826,835,847,849,861,873,877,885,897,908,913,922,927,937,943,957,960,973,981,985,994,1006,1014,1023,1032,1037,1047,1054,1065,1072,1079,1088,1101,1111,1120,1126,1136,1145,1152,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,30,41,42,53,59,68,82,89,99,110,117,121,135,139,150,159,165,170,316,322,327,341,344,356,364,373,382,394,397,407,413,427,436,439,599,601,617,621,632,640,650,658,665,670,682,692,700,706,718,726,733,745,750,761,765,773,780,793,798,810,820,829,834,841,853,860,866,880,889,895,907,912,923,927,937,947,956,965,972,981,990,1000,1002,1019,1022,1030,1038,1047,1054,1069,1078,1080,1090,1097,1107,1119,1123,1136,1139,1149,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,33,39,50,55,63,76,84,91,95,104,116,126,134,143,152,155,163,175,315,324,329,336,345,360,362,376,380,389,401,404,415,420,431,443,596,602,611,621,631,637,644,652,666,674,678,686,696,704,719,727,730,745,747,759,766,777,782,797,799,808,818,825,834,847,849,859,869,882,886,896,900,910,919,930,934,944,958,959,970,981,985,995,1009,1016,1026,1030,1044,1052,1056,1068,1073,1082,1092,1102,1112,1117,1127,1134,1139,1152,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,17,26,39,48,54,59,76,83,86,96,103,115,124,130,136,147,153,168,172,315,324,329,335,349,359,367,371,385,390,403,405,420,425,435,444,448,608,614,619,628,640,647,659,668,671,681,690,697,706,718,721,731,745,749,758,771,774,782,789,805,808,816,825,838,844,854,860,870,877,883,895,903,910,918,928,939,947,953,966,975,982,988,996,1009,1011,1020,1032,1043,1049,1057,1065,1076,1082,1089,1096,1111,1116,1128,1137,1143,1149,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,30,37,49,55,63,72,81,88,98,109,117,127,135,140,153,156,167,175,317,326,335,343,344,353,369,372,380,386,401,405,412,422,430,445,468,607,613,625,631,637,647,654,668,674,685,690,701,710,713,723,730,745,746,756,763,772,781,796,800,808,815,823,836,846,854,861,869,881,885,893,906,911,917,932,936,947,951,964,976,983,986,1001,1002,1013,1021,1030,1042,1050,1057,1065,1076,1082,1093,1096,1111,1121,1126,1133,1141,1148,1161,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,22,32,36,47,52,64,75,81,91,101,107,113,122,132,138,148,157,163,179,315,322,335,342,350,352,361,375,383,390,403,407,412,421,435,442,598,606,612,620,633,636,644,657,661,676,681,686,695,709,712,725,729,741,746,761,768,772,788,792,803,807,814,825,834,845,850,859,868,878,888,893,900,911,917,932,942,944,956,967,972,980,987,998,1008,1011,1023,1030,1042,1047,1056,1062,1076,1082,1091,1102,1112,1115,1123,1136,1144,1154,1157,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,21,30,39,47,53,65,75,80,90,99,102,111,127,129,140,145,156,170,177,181,320,330,339,351,355,366,377,385,390,401,406,418,421,436,439,597,607,617,625,630,639,646,656,664,674,684,690,696,704,717,725,730,743,752,755,770,778,785,790,799,806,820,831,835,844,856,865,867,878,883,895,902,916,918,928,939,948,955,960,969,981,991,998,1008,1018,1022,1029,1037,1049,1058,1067,1071,1083,1090,1101,1105,1119,1122,1131,1140,1155,1160,1170,1177	1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
7,11,25,28,37,47,59,67,71,78,90,95,105,117,123,134,139,151,155,169,175,314,324,330,341,352,360,364,371,386,392,403,410,419,426,434,440,459,602,615,623,633,639,649,657,666,674,685,688,701,709,712,722,730,744,754,757,764,773,780,795,803,811,816,826,835,846,851,863,870,880,885,899,906,916,917,927,935,943,953,963,969,984,985,995,1009,1011,1026,1028,1043,1049,1054,1068,1076,1085,1094,1101,1107,1118,1128,1133,1140,1147,1163,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,32,42,47,58,66,70,77,89,98,103,117,123,133,144,150,154,165,175,316,319,334,343,346,352,361,376,382,386,400,406,420,423,432,440,597,603,611,625,626,642,649,660,664,669,685,687,701,705,715,727,731,745,748,757,765,773,780,792,798,807,816,829,839,843,851,861,872,879,889,896,901,916,923,931,938,946,953,960,971,977,986,996,1005,1014,1021,1032,1041,1048,1057,1068,1077,1079,1090,1098,1110,1116,1126,1137,1142,1154,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,27,36,43,58,66,75,84,90,98,104,112,121,133,139,148,159,167,172,317,318,329,338,350,355,363,370,385,390,400,405,416,429,437,438,468,609,614,619,633,642,645,660,668,669,684,687,696,708,715,727,731,743,754,757,768,775,787,791,805,806,822,823,838,843,848,864,871,879,882,893,905,909,918,931,941,949,953,966,975,980,993,999,1004,1016,1022,1032,1037,1047,1060,1067,1073,1083,1091,1102,1108,1113,1129,1136,1144,1148,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,23,33,38,46,57,60,72,84,89,101,104,118,126,133,144,150,159,162,176,313,319,333,335,346,360,362,369,384,393,399,412,414,424,430,443,599,604,615,625,631,641,650,655,665,675,685,691,702,706,716,724,729,745,746,758,763,775,787,789,803,808,822,830,835,844,849,865,867,882,891,899,904,912,923,932,941,949,957,962,974,980,986,1000,1008,1011,1021,1035,1040,1052,1053,1065,1074,1083,1092,1099,1106,1116,1130,1136,1146,1154,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,17,33,35,45,58,62,72,85,87,95,106,115,121,135,144,149,157,169,170,183,323,331,342,347,359,367,369,380,392,401,407,415,427,434,438,596,602,617,618,634,643,647,655,664,673,685,688,701,711,717,727,732,743,746,756,764,775,784,796,798,811,816,823,833,842,855,861,873,877,889,895,908,910,921,931,941,943,957,964,975,982,991,995,1007,1016,1019,1028,1041,1052,1056,1067,1078,1084,1093,1102,1108,1116,1124,1137,1142,1148,1156,1169,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,19,32,42,49,52,67,75,80,87,95,111,113,124,133,138,152,160,166,173,317,325,328,342,350,355,366,370,380,391,397,410,413,427,434,445,463,603,614,619,630,643,651,659,667,672,679,692,699,704,714,725,736,738,749,756,765,779,781,791,798,806,821,825,831,843,851,861,874,879,884,892,908,914,917,927,937,947,951,964,971,984,989,998,1006,1012,1027,1032,1038,1045,1060,1062,1078,1081,1088,1098,1105,1116,1127,1136,1140,1154,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,23,26,39,50,55,66,76,77,88,94,110,117,128,130,141,152,160,163,178,313,320,328,335,347,355,366,371,384,394,401,403,415,424,432,439,597,607,614,618,633,636,644,655,666,676,682,687,695,706,719,724,734,739,750,756,764,780,782,796,803,813,819,825,837,844,854,858,871,876,885,899,905,911,924,929,938,943,953,962,968,977,993,997,1004,1016,1026,1034,1038,1052,1058,1069,1073,1082,1095,1102,1111,1116,1128,1137,1140,1154,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,18,30,40,49,52,65,72,84,91,99,110,112,122,135,138,149,158,164,175,317,318,328,342,352,359,365,371,378,391,396,404,413,428,434,439,468,604,615,625,628,637,651,659,661,672,684,689,698,705,720,724,735,740,746,757,765,779,787,795,801,813,821,824,838,843,853,859,873,882,890,896,905,912,920,926,940,947,955,965,968,977,989,997,1003,1018,1025,1034,1044,1046,1053,1067,1075,1085,1093,1096,1110,1115,1122,1135,1143,1150,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,28,35,48,55,62,72,79,88,100,105,111,126,130,137,146,155,168,178,315,326,330,340,351,360,367,370,386,392,403,411,414,428,430,443,451,608,611,620,634,638,650,658,667,674,682,692,695,708,718,724,736,740,754,760,769,775,787,791,802,812,822,829,833,845,854,865,868,877,887,899,901,910,917,931,935,947,956,962,975,982,991,997,1002,1018,1027,1035,1042,1048,1061,1068,1077,1079,1092,1097,1105,1114,1127,1131,1142,1150,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,21,26,39,43,51,64,68,78,89,94,107,118,124,128,144,147,159,162,178,316,326,327,339,350,356,367,371,385,387,401,409,419,424,434,442,598,604,614,621,634,637,646,653,666,671,679,687,698,708,719,725,734,740,754,757,765,772,787,792,804,806,818,826,836,842,849,858,872,879,885,892,908,909,923,931,942,950,953,962,972,980,989,999,1003,1014,1021,1034,1044,1045,1055,1069,1070,1080,1094,1096,1111,1121,1124,1135,1144,1151,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,30,37,50,58,61,75,83,88,97,110,116,127,131,142,150,156,170,175,317,318,329,339,344,356,367,370,379,391,396,408,416,426,437,438,599,608,609,624,629,642,647,655,661,674,684,694,699,709,714,728,732,745,747,755,768,773,782,793,802,812,817,826,836,847,854,862,867,880,889,897,901,909,917,925,936,945,951,962,969,983,989,996,1006,1017,1019,1029,1042,1052,1054,1066,1078,1080,1093,1099,1112,1120,1128,1134,1146,1148,1159,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,23,28,41,44,56,61,72,85,87,100,107,119,123,131,140,147,158,165,171,315,321,332,343,352,355,366,377,382,393,398,410,420,428,429,443,447,605,611,622,633,640,647,659,668,669,679,687,700,703,713,721,737,742,748,762,770,776,781,794,802,811,814,831,837,844,849,859,873,878,887,898,908,916,918,929,935,949,954,967,975,977,986,995,1005,1011,1019,1028,1036,1049,1056,1070,1071,1085,1095,1101,1107,1117,1123,1136,1144,1155,1162,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,31,40,49,58,63,73,79,88,101,109,113,124,132,141,149,160,169,173,316,318,328,338,351,355,366,370,383,390,398,404,416,427,433,444,599,602,614,625,635,638,650,653,668,671,679,689,699,710,712,726,732,745,751,761,764,774,783,791,805,807,821,823,836,840,851,858,868,875,883,893,907,914,922,925,935,944,955,964,968,985,991,1001,1009,1014,1021,1033,1039,1045,1053,1068,1076,1079,1090,1097,1112,1114,1126,1136,1139,1151,1158,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,33,41,48,56,64,72,82,86,100,103,116,122,133,142,145,155,162,174,317,326,329,340,349,353,361,371,379,394,397,407,413,426,432,440,596,604,615,625,630,641,646,660,667,673,678,691,697,710,712,727,730,738,753,756,765,771,786,792,803,808,822,825,832,845,848,864,867,875,889,893,904,913,925,933,934,944,954,963,969,982,986,1000,1009,1018,1023,1029,1043,1046,1056,1063,1072,1086,1089,1104,1107,1117,1128,1133,1143,1155,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,17,19,30,35,50,53,63,71,79,87,96,105,112,123,134,144,149,161,169,179,316,320,328,338,346,355,367,375,378,387,401,406,416,428,432,445,452,607,611,621,627,640,645,652,661,674,681,686,698,703,716,722,734,741,750,756,763,778,781,794,797,809,821,826,835,848,849,861,872,875,888,895,904,908,923,927,936,946,952,961,969,977,989,994,1010,1015,1026,1034,1037,1052,1056,1068,1071,1085,1088,1099,1112,1117,1128,1130,1139,1154,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,20,30,41,44,55,65,75,80,92,98,102,116,124,130,139,151,160,170,175,313,324,331,342,350,353,365,369,385,391,395,410,419,426,437,446,597,607,612,624,633,639,650,659,666,673,680,691,698,705,719,725,732,743,750,760,764,776,783,794,798,808,822,824,835,841,849,859,867,875,884,894,902,909,922,926,935,947,953,965,969,982,992,995,1006,1014,1027,1032,1043,1049,1060,1065,1076,1086,1094,1100,1109,1116,1127,1132,1142,1152,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,24,27,38,47,56,62,73,79,91,96,102,115,120,132,137,149,159,170,174,316,322,329,340,351,356,366,371,384,393,401,405,418,422,436,440,597,606,614,619,632,637,645,655,661,673,680,690,697,707,715,721,737,742,748,759,764,777,785,790,802,811,820,823,832,848,856,864,871,879,887,896,900,911,923,929,939,950,952,966,970,977,992,1000,1004,1012,1022,1036,1042,1050,1054,1069,1075,1084,1095,1100,1112,1116,1129,1134,1141,1155,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,31,35,51,52,64,69,85,86,95,102,113,121,128,139,152,155,167,172,180,319,334,341,351,354,364,376,382,390,402,411,413,424,432,445,463,602,613,625,630,637,651,653,667,676,678,688,698,704,713,728,731,742,752,757,768,777,785,793,805,806,821,829,838,845,852,861,868,877,885,893,902,913,919,932,937,946,957,959,975,977,990,994,1003,1012,1026,1031,1040,1049,1058,1064,1070,1081,1093,1096,1107,1119,1125,1135,1144,1150,1157,1171	0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,19,29,40,46,59,67,69,79,87,99,109,118,126,130,138,149,156,170,174,180,322,331,342,352,359,361,376,381,393,395,408,415,422,430,439,598,601,614,620,631,637,650,654,668,672,678,694,698,707,714,721,733,741,747,758,767,772,780,791,798,810,819,830,838,846,850,864,868,877,888,892,901,910,922,928,937,943,953,960,973,979,985,998,1002,1011,1020,1031,1038,1049,1056,1064,1077,1079,1090,1100,1107,1117,1125,1137,1143,1147,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,17,31,35,48,54,67,75,77,88,94,107,114,121,130,139,146,162,165,171,183,324,327,341,348,357,362,377,380,393,399,407,412,422,430,444,596,609,612,622,634,639,645,658,662,669,682,691,694,704,716,723,736,738,748,761,767,778,784,795,804,810,815,825,836,842,855,863,867,877,890,897,903,912,917,927,936,949,952,963,975,982,989,1001,1008,1011,1025,1028,1039,1052,1056,1063,1073,1080,1089,1099,1110,1116,1122,1134,1140,1148,1159,1169	0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,18,31,38,48,54,65,68,77,85,98,109,113,127,132,137,152,156,165,177,180,322,331,337,352,353,361,371,381,387,396,405,420,421,430,440,453,605,612,621,633,640,646,657,663,670,680,692,700,710,715,725,733,737,751,757,769,775,788,795,800,809,818,829,832,846,854,858,871,874,890,898,907,910,917,926,935,942,956,962,974,983,992,1000,1003,1016,1024,1034,1043,1045,1056,1066,1072,1085,1091,1104,1107,1120,1128,1136,1141,1153,1159,1171	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,21,30,37,44,52,62,70,84,90,96,108,115,126,133,138,146,156,163,176,181,325,335,339,346,355,363,375,384,392,403,408,413,427,429,438,598,603,616,620,631,635,646,657,666,672,684,690,698,705,717,726,736,743,752,761,771,776,784,790,802,806,820,823,836,841,851,862,865,879,889,898,908,912,922,929,942,950,957,964,976,978,991,997,1002,1016,1019,1036,1039,1050,1058,1062,1079,1081,1090,1101,1109,1116,1125,1138,1141,1155,1158,1166,1173	0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,16,17,27,36,42,53,62,73,84,86,101,109,112,121,133,139,152,154,167,179,210,324,332,340,346,354,363,374,383,391,398,410,418,423,433,437,454,604,610,620,627,635,650,660,664,676,679,694,701,703,712,720,733,742,751,757,767,776,785,795,798,813,822,830,839,848,851,858,869,879,890,898,900,908,920,930,941,950,955,959,975,980,993,994,1007,1017,1026,1034,1036,1053,1059,1063,1076,1087,1089,1103,1112,1117,1124,1131,1142,1154,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,20,26,39,43,52,68,74,84,92,95,102,119,123,130,137,148,154,164,172,194,323,327,339,346,359,363,370,379,386,402,407,412,423,429,443,597,601,611,621,634,636,646,654,666,671,680,694,695,708,713,721,729,739,749,761,771,772,785,792,804,814,819,823,839,847,852,861,870,881,886,894,906,910,922,925,942,949,959,962,972,977,991,1000,1008,1018,1027,1029,1043,1045,1053,1064,1076,1083,1092,1099,1105,1113,1127,1133,1141,1152,1156,1170,1177	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,11,24,33,39,46,51,66,70,83,88,100,102,112,122,129,141,153,156,166,173,184,324,333,336,348,358,363,370,381,393,399,405,415,421,435,445,447,606,612,623,630,637,646,660,665,670,679,690,695,703,715,723,729,739,747,762,771,777,780,794,801,813,821,824,831,841,852,861,873,878,883,891,904,911,920,932,936,949,954,967,973,982,989,994,1008,1017,1025,1034,1039,1047,1060,1067,1075,1081,1090,1100,1112,1120,1128,1134,1146,1147,1164,1168	0,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,8,19,27,35,43,54,67,69,77,87,99,110,113,126,131,138,148,159,169,170,314,320,327,339,343,353,361,373,385,389,398,408,414,422,432,438,599,606,612,623,627,638,646,653,663,673,686,690,700,707,717,725,730,741,746,759,764,776,787,793,803,810,814,824,837,846,856,859,872,881,887,899,903,911,919,928,937,948,954,965,970,980,992,994,1009,1019,1022,1029,1042,1045,1058,1067,1074,1086,1089,1101,1112,1115,1125,1130,1139,1153,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,24,33,37,46,57,67,75,81,91,94,107,113,125,135,140,153,162,165,174,182,318,329,343,350,359,366,375,379,389,396,407,414,422,429,440,460,607,610,622,630,640,647,652,667,671,686,693,699,708,719,725,736,743,748,762,767,778,780,790,802,806,816,827,835,846,849,865,872,881,887,895,905,911,918,926,937,944,952,963,975,977,991,994,1003,1018,1019,1035,1038,1046,1056,1066,1072,1083,1094,1098,1109,1116,1123,1134,1139,1152,1156,1166,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,19,28,37,42,53,61,68,85,90,96,106,117,123,134,138,147,153,169,174,190,323,330,342,347,357,362,378,386,391,398,410,417,428,433,442,458,608,613,625,627,640,648,656,663,676,678,688,695,704,712,724,737,739,746,755,770,773,786,796,798,807,816,825,832,846,855,864,872,876,889,898,903,913,921,929,936,945,955,963,975,980,992,995,1005,1016,1026,1031,1044,1050,1056,1068,1070,1085,1094,1100,1105,1118,1129,1135,1145,1147,1157,1171	1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,21,30,38,42,51,63,71,78,93,98,110,117,122,135,138,150,160,164,175,315,323,330,338,348,353,362,374,386,391,397,409,420,428,435,440,470,601,617,618,630,636,643,652,668,677,684,687,698,705,714,722,729,745,748,755,770,772,783,793,804,810,819,825,836,846,853,859,871,876,883,899,905,912,924,933,938,943,956,961,972,984,987,998,1002,1012,1024,1035,1040,1051,1057,1069,1074,1082,1092,1099,1112,1114,1128,1133,1142,1149,1161,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,17,33,35,47,58,63,76,83,86,95,103,119,126,130,142,148,154,164,171,181,323,333,340,351,352,363,375,382,394,399,406,414,429,435,445,468,602,614,623,629,636,645,655,661,674,682,693,700,706,714,723,735,738,747,761,768,779,781,796,799,810,815,822,832,846,852,863,870,874,884,897,906,909,916,931,938,946,951,960,976,977,989,996,1005,1011,1021,1031,1041,1049,1055,1062,1074,1086,1096,1100,1107,1115,1127,1137,1142,1150,1157,1165	0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,24,31,38,44,55,61,69,77,93,96,107,112,123,133,139,150,160,167,177,190,324,334,340,345,353,363,372,382,389,398,407,418,427,433,439,598,606,617,619,631,641,651,660,667,673,683,689,699,705,714,727,734,743,751,757,766,775,787,793,800,812,820,828,837,845,855,862,868,878,890,899,908,915,922,929,942,949,957,964,973,985,989,999,1007,1013,1027,1032,1040,1046,1056,1065,1075,1079,1089,1101,1107,1115,1128,1131,1144,1153,1159,1165,1173	1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,20,28,37,49,55,62,69,82,88,97,104,111,123,130,144,147,157,162,173,183,326,332,342,350,355,367,372,382,388,397,408,414,424,435,443,597,607,615,622,629,637,646,652,666,669,677,694,697,711,718,720,732,738,754,758,765,776,784,793,798,812,818,830,833,842,855,863,867,876,889,892,902,909,925,928,935,945,959,964,968,978,990,995,1003,1014,1026,1031,1039,1053,1054,1062,1076,1079,1091,1098,1110,1119,1128,1133,1146,1149,1162,1166,1177	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,15,25,26,38,48,53,67,76,85,87,95,105,113,123,134,140,146,159,166,172,313,318,327,341,346,360,366,373,382,390,402,405,414,428,430,437,599,606,609,623,632,639,650,658,662,676,678,687,696,703,716,727,733,742,752,757,766,774,780,794,797,813,815,826,834,840,849,859,868,875,888,895,906,909,925,926,938,942,952,967,974,981,990,999,1003,1018,1023,1035,1044,1050,1056,1064,1075,1087,1091,1097,1106,1114,1128,1138,1146,1151,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,22,28,35,43,57,61,69,83,86,94,110,117,119,130,139,145,155,169,179,317,319,327,338,349,357,363,373,384,390,403,407,419,427,433,446,448,605,614,619,630,640,645,659,660,673,678,690,695,708,719,720,729,742,746,761,769,772,782,793,804,807,816,825,837,847,851,864,870,881,885,894,906,916,919,928,934,950,957,959,976,981,993,998,1008,1017,1025,1028,1041,1046,1055,1069,1072,1084,1092,1104,1108,1118,1127,1134,1140,1149,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,33,42,48,55,62,74,81,85,96,109,111,122,128,144,145,158,169,172,318,321,327,335,344,354,368,370,383,386,400,409,419,428,430,445,597,607,609,623,629,638,647,652,667,677,685,691,702,710,712,723,731,740,747,754,764,777,784,791,799,812,819,823,836,847,856,864,872,878,885,895,905,911,920,932,939,943,958,967,970,984,992,994,1010,1014,1027,1034,1039,1053,1059,1062,1071,1084,1094,1101,1104,1116,1125,1130,1142,1149,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,22,29,41,44,57,64,76,83,92,94,107,116,123,134,142,145,160,167,178,317,322,335,337,344,359,365,372,378,394,403,405,417,425,434,439,599,608,610,623,629,635,646,659,664,669,679,694,696,709,712,725,733,743,750,760,767,776,785,795,805,807,815,823,835,841,854,864,866,882,885,897,901,914,921,932,936,946,955,967,971,981,988,998,1005,1014,1025,1035,1040,1047,1056,1066,1074,1081,1090,1104,1112,1113,1123,1136,1145,1147,1162,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,27,42,44,57,65,69,77,91,97,104,118,122,132,138,150,156,169,178,317,320,328,336,347,354,369,370,380,394,399,406,412,421,437,439,598,601,610,621,632,640,647,652,667,669,680,693,699,711,718,726,736,742,749,755,766,775,781,797,803,809,819,823,837,843,848,861,869,876,890,893,900,914,918,925,942,943,958,963,969,982,992,1001,1006,1015,1022,1029,1038,1046,1061,1070,1071,1086,1093,1099,1109,1120,1127,1133,1146,1150,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,19,27,35,49,58,60,68,83,90,100,105,111,121,132,140,150,156,165,171,316,321,330,339,347,358,366,370,385,389,401,404,416,428,435,438,600,602,615,619,627,639,651,658,668,669,685,690,700,709,716,723,735,743,746,758,770,773,785,792,805,812,816,829,833,840,853,857,873,879,888,894,907,914,923,927,938,945,953,963,974,980,986,998,1006,1016,1020,1036,1040,1045,1056,1062,1073,1084,1095,1097,1111,1116,1123,1138,1139,1154,1164,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,29,34,46,56,61,76,83,91,95,106,117,119,128,145,148,158,164,176,316,324,327,340,351,359,362,371,385,392,401,407,413,427,431,443,455,601,611,623,630,638,647,656,667,672,679,689,695,709,712,726,734,742,750,760,763,778,785,796,803,806,819,824,834,843,856,862,866,875,885,897,906,916,919,933,941,950,958,960,970,984,991,999,1008,1018,1019,1028,1042,1052,1061,1064,1071,1080,1089,1099,1105,1116,1125,1132,1139,1150,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,20,30,36,46,57,61,69,85,91,97,108,114,125,129,143,152,154,165,175,318,319,333,340,349,359,368,371,378,388,396,407,417,421,430,438,598,606,615,625,634,643,648,657,664,677,683,692,701,709,716,723,736,738,747,761,766,776,788,789,804,810,815,824,839,844,853,862,868,874,887,894,905,908,919,927,936,950,952,961,976,981,990,999,1010,1018,1021,1028,1037,1048,1057,1067,1078,1087,1092,1100,1112,1115,1127,1131,1139,1149,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,24,31,36,47,56,61,76,80,86,98,110,119,124,135,143,150,160,169,171,183,319,334,342,345,359,367,373,380,390,402,406,419,424,430,440,458,606,613,620,631,643,644,660,665,676,678,687,696,703,717,722,729,744,748,760,767,774,780,796,803,807,821,824,837,843,850,859,866,877,887,892,905,913,917,932,939,946,958,964,975,976,992,995,1002,1016,1024,1034,1038,1047,1061,1066,1077,1087,1096,1102,1112,1121,1124,1132,1141,1151,1156,1169	0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
3,10,24,30,35,50,54,63,70,84,88,100,105,115,120,131,139,146,157,166,176,313,322,329,338,344,356,368,369,378,393,399,410,412,426,435,445,598,602,611,618,633,639,649,654,666,673,684,686,696,710,713,727,736,739,750,762,763,772,782,790,804,806,815,826,835,840,850,863,865,878,888,897,908,913,924,933,935,942,955,967,973,981,986,1001,1009,1018,1020,1033,1043,1046,1061,1069,1073,1084,1093,1098,1112,1120,1128,1137,1143,1149,1161,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,33,34,47,56,65,74,82,87,98,105,118,123,135,138,149,155,165,171,316,320,327,335,346,356,367,375,382,387,402,411,415,424,437,439,597,607,612,623,628,638,647,654,665,677,685,693,702,703,720,723,731,740,750,755,763,771,788,797,805,808,822,825,831,847,856,861,866,881,885,895,902,911,920,930,934,946,957,961,976,985,989,999,1009,1014,1026,1030,1038,1049,1056,1068,1078,1082,1095,1100,1113,1114,1125,1133,1146,1151,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,26,37,48,56,65,73,79,86,102,109,112,126,133,140,145,153,164,174,318,324,327,343,348,354,365,369,382,392,402,410,417,428,435,440,600,601,612,624,633,637,649,656,661,670,684,689,700,704,719,728,732,739,752,758,767,779,782,790,804,808,822,823,839,843,848,859,872,878,885,892,902,916,923,930,940,942,958,967,974,982,985,999,1004,1014,1020,1028,1037,1053,1059,1064,1074,1084,1091,1096,1110,1117,1130,1133,1139,1155,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,31,34,47,58,67,71,82,91,101,104,112,125,136,137,149,156,168,176,314,318,327,336,350,360,366,376,385,391,399,405,413,422,429,438,598,602,614,622,630,635,648,652,663,672,684,694,700,709,712,728,731,742,749,758,771,778,783,789,804,810,815,828,835,845,849,860,870,879,885,891,902,915,917,928,936,947,954,967,972,984,993,1001,1007,1012,1021,1030,1044,1045,1060,1062,1078,1084,1094,1098,1111,1120,1125,1136,1140,1148,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,34,38,47,59,65,73,78,89,102,104,114,125,136,144,152,154,163,176,180,322,326,342,349,358,365,376,385,389,400,410,416,427,434,438,599,604,613,622,632,641,646,656,662,670,685,692,700,706,719,722,732,740,747,755,765,778,787,792,805,808,819,824,838,848,849,863,869,875,883,896,901,914,922,926,941,948,959,964,970,981,988,999,1008,1018,1019,1035,1042,1046,1058,1066,1078,1081,1089,1102,1111,1114,1124,1132,1146,1153,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,20,26,38,47,58,67,73,79,88,97,103,119,126,134,143,153,161,169,176,317,318,333,341,350,359,362,376,381,388,401,411,413,422,431,439,456,601,616,620,634,640,645,654,668,673,680,688,696,704,716,724,733,741,753,755,765,778,784,790,799,809,822,829,837,844,849,862,869,875,886,896,900,910,917,929,934,946,956,966,975,982,987,999,1010,1017,1027,1032,1040,1049,1059,1062,1072,1086,1089,1101,1109,1121,1122,1131,1144,1151,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,21,27,38,43,59,63,76,80,86,95,104,114,121,129,141,150,157,165,178,317,319,334,341,352,356,365,371,384,388,398,404,419,424,437,445,460,606,617,622,628,639,647,653,663,672,679,686,699,708,713,724,731,737,750,758,767,775,784,792,802,809,814,828,836,842,854,858,867,877,888,892,907,910,924,933,939,942,956,962,974,982,990,997,1008,1016,1019,1035,1039,1049,1057,1068,1079,1085,1088,1101,1104,1120,1127,1132,1144,1150,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,22,26,39,49,57,66,73,83,92,95,109,119,122,128,141,148,158,163,177,316,321,329,335,352,353,362,373,384,390,400,411,419,424,432,445,598,605,617,623,632,638,649,657,663,671,682,689,701,711,719,726,736,741,746,761,768,772,782,792,803,812,817,828,833,846,854,863,874,878,889,894,902,910,921,931,941,948,953,963,975,983,988,995,1007,1016,1023,1034,1038,1050,1056,1066,1075,1079,1094,1100,1110,1117,1128,1135,1145,1148,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,19,27,37,46,55,64,72,84,90,98,108,112,125,130,140,152,161,164,178,316,322,332,340,351,355,363,370,379,389,401,408,416,422,436,439,600,608,609,619,629,641,651,654,665,672,682,687,698,704,717,728,731,738,749,761,767,780,788,794,805,812,821,824,838,843,852,860,869,874,886,899,903,909,917,925,935,949,957,967,970,978,986,996,1006,1018,1019,1034,1038,1051,1058,1066,1078,1085,1093,1101,1111,1118,1125,1134,1144,1149,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,32,36,45,52,64,69,80,90,97,108,115,119,128,141,153,155,167,173,316,320,333,343,350,352,361,371,384,394,402,409,419,427,436,439,453,601,613,621,631,640,646,658,661,671,682,691,699,708,717,721,735,740,753,755,770,778,782,793,801,807,817,823,838,846,852,862,871,876,886,897,901,912,923,931,937,945,959,960,972,981,990,995,1008,1012,1027,1029,1041,1052,1054,1063,1075,1081,1088,1102,1109,1121,1129,1132,1146,1148,1157,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,18,28,41,50,53,63,73,81,86,94,103,119,121,135,137,146,154,164,173,314,322,334,337,351,355,362,374,384,392,402,407,413,425,436,442,596,605,609,624,634,638,647,658,665,674,685,686,702,706,719,720,732,745,753,759,764,772,781,789,800,813,822,830,835,848,854,860,873,878,883,892,905,910,917,927,935,949,955,962,975,985,993,996,1004,1016,1022,1032,1039,1047,1054,1064,1071,1080,1092,1103,1112,1120,1124,1134,1139,1149,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,25,36,48,54,61,71,79,90,98,106,113,127,136,143,147,155,162,176,314,324,332,342,349,360,368,375,382,391,401,409,417,428,435,440,598,605,612,621,634,638,649,660,668,672,684,688,701,703,713,723,736,744,750,762,763,778,787,794,797,810,819,827,833,840,851,861,871,877,884,895,900,910,923,933,940,942,958,966,974,977,986,1001,1005,1012,1021,1033,1042,1048,1057,1065,1079,1080,1088,1098,1107,1121,1125,1136,1145,1155,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,19,32,36,45,51,62,72,81,85,97,104,119,125,130,136,149,155,170,171,314,323,331,337,344,357,368,369,383,386,395,410,413,428,434,445,600,601,616,622,632,638,646,655,665,672,678,691,698,711,713,723,734,745,752,762,765,778,781,794,798,813,821,828,838,842,856,861,865,874,891,895,900,914,924,931,934,945,956,962,973,978,990,1000,1005,1013,1019,1031,1041,1052,1059,1064,1077,1087,1094,1099,1110,1117,1130,1133,1141,1153,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,29,39,42,58,63,75,77,85,97,108,112,126,128,138,147,161,163,176,316,323,328,338,350,358,363,372,379,387,398,412,419,421,430,445,470,607,610,623,633,638,647,656,663,676,681,694,697,711,719,721,731,744,746,759,770,779,787,796,799,811,814,823,831,847,850,859,871,880,887,894,904,916,921,927,937,944,957,961,971,983,993,998,1003,1012,1026,1029,1038,1052,1059,1064,1078,1080,1092,1098,1108,1121,1126,1135,1145,1150,1164,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,28,34,50,53,61,69,83,87,97,110,115,125,135,143,148,159,163,171,316,322,327,340,351,355,363,376,381,387,397,410,414,427,435,444,463,602,613,622,628,639,648,654,662,677,678,690,696,704,716,728,734,742,746,759,764,773,784,790,802,807,820,823,838,840,857,861,872,880,888,896,905,911,924,929,939,946,957,961,972,982,985,994,1008,1015,1020,1031,1042,1052,1059,1062,1078,1080,1091,1096,1109,1120,1130,1131,1143,1151,1159,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,19,30,42,43,58,59,72,79,88,99,104,118,124,130,144,153,154,167,176,314,321,331,341,348,353,365,373,382,392,398,406,415,421,429,442,459,608,610,619,626,642,650,652,665,674,683,692,699,711,712,724,737,738,752,758,764,777,788,790,797,810,815,830,839,843,851,860,869,874,884,891,905,910,924,932,938,950,955,960,971,979,990,999,1006,1017,1023,1031,1039,1046,1060,1065,1072,1086,1089,1101,1107,1115,1125,1133,1140,1148,1160,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,25,31,40,50,55,62,70,83,86,100,110,111,121,135,139,151,154,165,179,318,320,333,340,348,355,366,375,381,387,401,410,414,429,431,443,596,608,609,619,627,635,645,659,666,674,682,686,702,710,716,724,733,741,752,756,770,774,785,793,804,810,820,827,834,842,853,857,868,881,889,893,908,910,921,931,939,945,957,963,976,978,993,997,1005,1015,1021,1033,1037,1047,1053,1066,1072,1083,1089,1098,1108,1116,1129,1138,1143,1155,1164,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,24,26,35,43,57,63,71,77,87,96,105,113,119,131,139,150,154,165,175,179,322,326,339,350,356,368,369,379,386,398,407,415,424,429,445,596,607,613,619,630,636,651,653,666,674,680,689,697,705,711,721,729,744,752,761,771,775,780,789,804,812,821,830,839,847,855,860,866,881,888,897,908,914,919,926,937,942,956,962,972,979,986,998,1010,1015,1021,1033,1038,1047,1061,1069,1073,1084,1089,1098,1107,1114,1127,1132,1143,1151,1164,1168,1175	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,20,27,34,43,54,66,71,82,91,102,110,115,127,129,142,148,153,164,176,179,319,326,339,344,358,362,372,384,394,403,406,415,425,430,440,600,602,616,622,629,635,645,659,661,672,679,693,702,710,713,724,729,743,751,759,764,774,788,797,805,808,822,828,838,842,853,861,868,874,882,893,906,914,918,927,939,949,957,967,971,984,987,1001,1003,1019,1022,1031,1039,1051,1056,1067,1073,1084,1095,1100,1110,1115,1129,1135,1145,1152,1162,1168	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,9,23,27,39,46,51,60,71,81,93,97,110,118,124,128,138,152,159,163,178,186,321,334,339,350,357,365,376,382,390,396,404,412,422,432,446,598,606,616,621,627,641,648,653,662,677,684,689,696,706,720,726,733,743,746,757,763,779,785,792,798,806,814,822,839,846,853,865,873,882,891,896,907,908,923,931,937,947,958,964,973,982,989,998,1002,1019,1020,1033,1036,1051,1059,1070,1071,1087,1088,1101,1105,1118,1127,1132,1144,1154,1161,1171,1176	1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,23,30,40,46,55,65,71,79,88,100,105,117,121,134,141,148,161,165,175,180,319,332,342,345,353,363,375,385,387,398,404,418,425,434,438,598,602,613,621,632,639,650,659,661,670,685,689,702,706,714,726,736,746,752,755,771,772,781,793,803,810,819,823,835,841,851,864,873,874,887,892,907,916,920,932,940,949,958,961,974,978,992,994,1008,1017,1027,1033,1042,1049,1060,1065,1071,1080,1088,1100,1111,1117,1122,1132,1139,1147,1161,1170,1178	1,1,0,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
0,13,22,32,36,48,56,59,71,76,88,94,103,115,125,132,137,149,156,167,170,182,321,333,338,348,358,361,370,378,392,400,407,419,422,434,440,599,603,609,619,631,636,651,653,662,672,685,686,698,706,719,724,732,741,749,757,767,773,782,794,797,807,815,828,836,841,855,861,866,882,888,899,902,914,920,929,935,948,958,962,971,981,986,996,1003,1016,1022,1033,1037,1051,1061,1067,1075,1087,1088,1103,1108,1113,1129,1131,1144,1148,1158,1167,1177	0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,12,20,28,34,47,51,68,75,84,87,99,110,112,124,129,136,147,154,170,177,189,321,327,336,344,357,363,377,384,393,397,410,415,427,437,440,463,606,609,618,635,638,651,657,663,676,683,690,701,706,717,728,734,739,746,757,770,774,780,796,797,807,820,823,839,847,850,865,868,875,889,893,900,910,921,926,940,942,956,963,968,980,990,998,1005,1010,1020,1034,1038,1050,1056,1062,1073,1086,1095,1096,1107,1114,1122,1133,1141,1151,1162,1165,1176	1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,25,27,36,48,56,67,75,81,89,99,107,112,121,131,138,150,155,166,176,179,326,327,342,348,354,363,373,379,387,403,411,419,428,431,444,600,601,609,623,629,643,645,658,665,675,684,687,703,707,718,727,733,739,751,763,766,773,781,790,802,806,820,824,835,842,854,861,866,878,891,896,907,910,917,930,942,945,953,963,975,982,985,995,1004,1018,1024,1033,1044,1047,1054,1065,1076,1087,1088,1100,1111,1118,1128,1131,1138,1150,1164,1165,1176	1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,21,27,34,43,58,61,68,81,85,97,102,112,120,129,143,147,161,162,177,181,322,334,337,350,359,368,375,382,391,399,406,418,425,430,445,599,603,615,626,627,641,643,660,668,672,684,690,702,703,718,728,733,742,747,760,764,778,785,794,800,807,817,830,838,844,849,860,873,876,891,892,900,914,920,928,940,945,953,966,970,980,988,999,1006,1015,1024,1029,1042,1050,1054,1064,1078,1086,1089,1098,1111,1120,1129,1138,1139,1148,1161,1169,1175	0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,21,28,39,48,59,62,75,85,87,94,103,111,126,134,144,148,158,166,172,315,326,328,338,344,359,362,377,386,394,403,408,420,427,437,439,468,607,612,620,626,640,644,653,664,671,682,687,702,711,717,723,737,739,754,759,771,779,787,790,804,807,818,825,835,840,853,863,870,877,887,893,904,909,917,932,939,944,957,961,970,982,985,995,1008,1016,1027,1034,1041,1050,1056,1062,1070,1084,1088,1098,1105,1121,1127,1135,1142,1148,1161,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,18,34,41,49,59,62,76,79,90,97,103,118,120,128,142,146,156,167,173,180,321,330,336,351,353,363,375,380,387,401,408,413,424,430,438,597,603,611,624,634,635,648,660,661,671,679,689,698,703,712,723,735,745,753,759,765,779,783,790,798,811,817,829,835,845,856,860,871,878,889,893,901,909,920,933,937,950,959,961,972,980,988,999,1010,1012,1020,1033,1040,1050,1055,1064,1072,1082,1092,1096,1106,1121,1127,1138,1142,1151,1158,1170	1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
5,12,21,29,34,43,54,67,75,83,87,95,110,118,125,130,138,150,160,162,171,184,322,327,342,350,352,361,377,383,391,396,407,419,421,435,438,465,609,612,624,630,639,644,658,668,670,678,691,696,708,715,726,735,744,747,757,766,774,784,791,801,813,816,823,831,848,857,859,867,877,888,892,902,909,920,931,938,946,953,961,975,981,985,999,1004,1013,1027,1034,1042,1051,1058,1063,1076,1083,1094,1100,1113,1118,1127,1133,1140,1152,1157,1170,1176	1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,8,18,30,41,51,56,63,76,79,92,94,104,112,119,133,139,150,157,164,172,188,322,333,338,349,352,365,377,385,394,403,411,417,422,434,441,599,603,614,619,632,642,651,652,662,676,680,693,696,708,720,723,731,743,754,762,767,774,781,790,802,812,820,823,834,846,855,863,871,881,891,892,904,913,924,926,939,944,954,963,973,978,988,997,1010,1017,1020,1033,1044,1050,1056,1069,1074,1084,1090,1103,1108,1116,1122,1131,1141,1155,1162,1167,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,14,23,30,39,44,57,66,73,83,87,102,109,116,121,132,139,148,157,170,171,186,323,334,343,346,352,361,370,386,387,399,408,415,426,432,437,597,605,614,621,626,636,649,660,664,669,680,687,696,705,714,721,734,738,748,755,765,778,786,790,801,809,821,823,834,841,855,865,866,880,890,892,907,908,921,929,940,946,953,964,974,983,986,996,1008,1019,1022,1028,1037,1047,1059,1068,1078,1079,1088,1102,1108,1120,1129,1138,1142,1152,1159,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,17,31,40,43,53,65,74,83,89,98,105,111,122,131,141,151,161,167,174,179,321,331,342,344,360,367,370,380,391,397,410,412,428,430,444,596,607,612,622,633,640,647,655,668,673,682,687,699,707,713,720,732,742,747,761,771,776,782,796,805,808,820,825,838,841,854,862,873,881,886,894,906,912,919,931,942,943,959,963,968,982,985,999,1009,1011,1020,1029,1038,1052,1060,1066,1070,1080,1095,1104,1108,1120,1125,1136,1146,1153,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
2,15,24,27,39,49,53,67,75,77,89,99,103,113,126,132,143,147,159,164,172,230,323,332,340,350,352,368,373,384,387,396,411,419,425,435,443,598,602,612,621,631,635,650,655,662,676,683,693,696,709,716,727,730,743,750,760,765,775,788,790,803,813,822,823,834,846,850,864,871,875,887,894,908,916,921,929,941,945,955,962,975,980,993,995,1005,1018,1027,1030,1041,1050,1061,1065,1071,1084,1091,1098,1105,1121,1128,1136,1145,1154,1163,1167	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,18,32,36,43,55,60,72,78,92,99,102,112,126,135,139,152,155,166,175,318,320,331,340,347,355,361,369,382,390,401,411,413,426,434,446,598,608,615,620,629,637,644,659,662,677,685,688,697,704,716,721,737,739,754,756,767,775,786,791,800,810,816,827,837,846,854,861,874,882,890,891,906,910,921,931,937,949,957,964,968,984,988,994,1003,1013,1022,1036,1044,1046,1058,1069,1075,1083,1088,1100,1105,1114,1128,1133,1140,1154,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,19,32,41,48,53,65,76,80,85,99,107,117,125,132,142,151,155,163,178,313,319,333,340,348,352,367,377,381,394,403,412,417,429,437,440,600,603,612,620,633,642,647,656,663,673,684,691,696,710,712,722,736,739,748,759,768,774,785,795,800,809,818,826,838,840,850,861,871,878,888,891,903,908,920,926,936,950,957,963,971,984,989,999,1007,1015,1021,1033,1037,1048,1054,1066,1078,1087,1092,1104,1112,1113,1126,1136,1143,1148,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,23,28,37,45,56,61,70,78,86,99,102,118,123,131,141,149,155,166,175,316,323,332,335,348,355,362,370,378,389,401,410,417,420,436,438,470,602,615,624,629,636,650,659,667,672,684,694,702,704,717,728,730,738,752,758,765,779,785,794,798,808,819,830,832,841,854,860,869,878,888,892,906,912,917,929,939,945,952,964,969,983,986,995,1010,1012,1024,1033,1037,1049,1056,1062,1077,1082,1094,1104,1110,1121,1123,1137,1142,1148,1164,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,27,38,44,58,66,75,79,91,99,106,114,123,134,138,153,155,167,172,313,325,329,338,351,357,364,370,379,387,401,411,420,422,430,443,598,607,611,625,630,637,648,657,664,669,677,691,695,705,719,727,732,744,754,759,771,777,788,790,799,809,822,831,837,846,854,857,869,878,886,899,900,913,920,926,939,945,953,967,975,982,988,1001,1010,1013,1025,1030,1041,1052,1060,1065,1074,1086,1089,1099,1110,1114,1124,1135,1143,1153,1160,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,29,41,42,59,65,74,79,89,97,106,112,128,129,139,145,160,167,178,316,320,327,342,345,357,368,375,383,394,400,407,416,424,430,438,468,603,615,620,626,639,651,655,668,676,681,689,695,710,713,722,733,737,748,760,764,774,786,789,801,810,815,829,834,841,856,861,868,882,885,893,907,910,918,928,941,944,954,960,970,977,992,997,1008,1019,1024,1031,1038,1046,1055,1065,1070,1079,1093,1099,1109,1114,1128,1130,1141,1155,1157,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,18,27,41,48,52,67,71,80,86,99,108,117,122,134,141,152,157,167,175,313,322,334,339,348,354,365,377,382,394,397,410,414,429,436,439,468,606,615,623,630,635,646,653,667,670,680,692,697,707,716,725,730,743,747,758,767,777,785,795,802,810,816,830,836,847,849,858,869,882,887,893,907,914,921,929,941,948,953,965,968,981,985,997,1005,1018,1024,1027,1040,1050,1058,1064,1078,1083,1095,1096,1110,1118,1121,1137,1146,1151,1157,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,22,32,42,44,56,66,69,82,93,97,108,117,119,128,137,147,160,166,178,317,318,332,340,351,360,364,374,386,394,402,405,413,421,437,445,453,602,611,625,627,636,650,655,663,675,683,692,697,711,716,723,730,745,751,759,768,773,787,792,798,809,816,826,832,840,854,865,866,878,884,892,902,915,919,928,942,949,952,963,971,982,988,1001,1007,1011,1021,1033,1042,1050,1053,1066,1076,1084,1088,1104,1112,1118,1123,1136,1143,1151,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,28,37,48,57,66,73,77,85,99,105,116,119,131,142,145,159,162,175,317,320,330,340,352,359,365,374,383,389,395,405,417,426,432,441,457,603,617,626,630,638,649,654,665,673,682,692,697,707,717,726,730,738,747,758,768,774,783,790,801,809,818,824,836,843,848,865,869,878,886,894,907,916,919,925,941,946,951,962,971,983,993,997,1002,1013,1025,1028,1042,1050,1057,1066,1070,1084,1089,1101,1110,1114,1128,1137,1139,1151,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,24,33,41,47,56,67,73,77,87,95,108,114,123,131,143,149,157,163,178,180,319,331,340,344,356,364,377,380,390,397,408,412,426,434,442,597,606,615,622,626,642,646,652,669,675,683,693,702,703,716,729,730,741,747,757,770,775,785,796,801,813,820,828,838,848,856,861,873,876,887,899,901,910,924,926,937,946,951,962,975,981,993,1001,1009,1018,1022,1028,1041,1045,1055,1065,1070,1085,1094,1100,1111,1115,1130,1132,1144,1153,1160,1172,1175	1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,24,29,37,48,58,67,69,82,93,94,104,114,122,131,141,149,155,169,174,315,325,327,343,346,354,362,377,386,387,402,409,413,427,434,442,470,601,609,622,629,637,651,653,668,674,680,693,700,706,718,723,730,743,748,760,770,776,786,794,803,806,814,823,837,841,849,861,871,882,883,899,906,908,920,932,938,943,954,964,976,981,990,994,1003,1014,1020,1031,1038,1047,1059,1070,1073,1085,1089,1104,1106,1114,1125,1138,1144,1149,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,18,32,42,51,57,60,74,79,92,98,110,117,123,132,140,148,158,166,176,315,321,334,340,349,360,361,374,384,390,396,408,414,427,435,446,462,606,611,625,629,643,650,659,661,671,677,686,702,704,717,724,734,741,747,758,769,779,783,795,800,808,820,830,836,848,853,858,871,876,886,894,901,913,925,928,935,949,956,967,972,977,985,997,1004,1013,1026,1031,1043,1051,1057,1070,1072,1081,1091,1098,1109,1113,1127,1131,1141,1153,1158,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,18,26,40,50,55,64,76,77,86,101,109,117,121,129,138,150,159,167,175,314,319,331,339,346,360,363,369,379,387,396,406,417,428,432,444,598,603,612,622,632,640,649,660,666,673,684,690,696,709,719,720,733,740,753,754,764,777,785,789,800,806,822,830,836,840,848,862,872,878,883,894,905,911,919,932,935,945,959,965,972,977,990,996,1010,1013,1020,1034,1041,1048,1055,1063,1072,1086,1088,1100,1109,1114,1123,1132,1146,1150,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,19,33,39,48,56,64,70,82,88,100,108,111,120,135,137,152,161,169,171,313,321,331,336,350,353,363,369,381,387,396,409,413,426,431,443,597,605,610,618,631,637,645,653,661,676,684,687,696,704,717,727,733,743,752,762,769,780,784,791,801,810,815,824,835,842,849,865,867,882,889,897,904,916,923,931,936,946,956,966,971,977,988,995,1006,1013,1024,1035,1040,1049,1055,1070,1076,1079,1095,1097,1104,1115,1123,1136,1145,1155,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,27,35,43,52,61,74,80,87,100,110,112,126,136,140,146,157,166,178,198,324,328,335,347,353,367,369,386,391,402,408,414,425,431,441,447,607,610,623,627,637,650,654,662,677,683,691,698,706,712,727,729,738,752,761,765,778,783,794,798,812,817,827,834,846,854,857,867,875,886,899,903,909,922,927,935,942,958,966,970,977,989,998,1007,1016,1023,1035,1038,1046,1057,1067,1079,1082,1095,1101,1111,1119,1123,1135,1142,1148,1162,1172,1173	1,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,16,20,30,37,44,54,65,70,79,87,99,110,112,120,134,138,153,156,162,173,314,319,328,342,351,355,362,370,382,393,399,404,416,423,432,443,471,606,611,622,634,639,644,653,668,677,684,686,695,711,712,723,734,743,748,755,764,779,781,796,804,810,817,829,831,845,856,862,868,875,882,891,900,912,922,930,941,946,954,960,976,979,988,1001,1010,1012,1027,1035,1036,1049,1056,1066,1076,1087,1094,1097,1107,1115,1122,1133,1142,1148,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,27,40,43,54,66,70,77,88,100,103,113,124,136,139,152,159,166,177,317,321,328,336,345,357,369,370,378,394,397,404,419,423,437,438,600,608,611,619,632,640,644,655,662,669,685,690,700,710,715,720,734,745,753,762,771,774,787,792,805,809,822,825,834,841,849,860,865,880,886,894,904,911,924,932,940,949,959,962,972,980,988,997,1010,1014,1022,1031,1040,1050,1058,1066,1076,1083,1096,1101,1109,1120,1122,1133,1145,1153,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,29,37,46,53,65,72,76,91,98,107,115,120,133,142,147,154,165,174,313,326,333,343,347,354,363,370,382,388,400,406,415,424,435,443,599,601,611,623,629,639,645,653,664,669,685,690,703,711,713,728,729,740,748,755,765,775,787,795,798,807,822,828,833,842,853,862,867,881,887,898,900,914,924,933,939,950,957,965,968,980,985,997,1002,1012,1022,1030,1039,1045,1054,1064,1077,1084,1095,1101,1108,1115,1122,1133,1143,1148,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,20,30,35,48,58,60,75,82,87,98,102,111,121,135,137,146,159,168,172,313,321,330,336,351,360,363,374,384,392,396,409,418,422,432,444,453,605,611,618,631,637,645,653,667,669,684,687,697,706,719,723,731,745,746,759,763,777,780,789,798,813,816,830,839,848,854,860,870,880,888,895,900,915,921,925,942,950,956,962,975,977,989,999,1008,1013,1024,1031,1042,1052,1061,1065,1072,1086,1091,1097,1107,1116,1125,1132,1143,1148,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,18,34,35,43,59,62,72,76,89,98,103,119,122,130,136,152,158,165,178,317,326,332,340,347,360,361,376,381,387,400,404,414,424,432,439,468,605,615,623,632,637,650,653,666,673,677,688,697,707,717,728,733,740,752,754,765,772,788,793,805,806,816,828,839,847,853,859,871,877,883,895,903,909,923,928,940,943,952,963,973,977,992,994,1005,1017,1020,1028,1044,1045,1057,1070,1072,1087,1091,1101,1111,1116,1123,1137,1146,1153,1157,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,31,35,46,58,64,74,80,86,99,103,116,126,132,139,146,159,164,176,313,325,333,343,345,355,367,370,379,386,395,408,420,424,433,440,600,602,614,621,626,641,644,656,661,676,678,691,702,708,712,721,731,745,750,762,766,772,784,792,802,813,815,828,832,840,857,864,871,880,883,896,903,911,917,927,936,947,953,966,972,979,989,995,1010,1012,1023,1036,1041,1052,1060,1069,1078,1080,1094,1098,1110,1115,1124,1134,1143,1148,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,17,26,36,45,57,67,75,79,87,101,105,113,127,133,141,153,157,166,178,315,322,333,340,348,356,368,372,381,388,399,408,414,421,433,443,597,601,614,622,627,642,643,659,668,676,680,688,701,703,714,726,735,742,746,758,765,779,780,791,802,812,816,825,832,844,854,863,867,877,882,892,901,913,923,931,941,950,952,967,971,982,989,994,1007,1012,1023,1036,1038,1050,1059,1062,1077,1086,1092,1097,1106,1113,1125,1134,1140,1154,1161,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,22,27,39,46,52,65,70,77,87,100,105,111,124,130,139,153,159,169,173,315,320,334,339,344,358,365,375,383,390,401,405,420,426,431,442,598,602,617,618,630,639,644,652,664,676,684,691,696,708,717,725,734,737,746,755,764,775,781,796,800,806,816,830,834,847,856,865,867,882,883,896,905,910,923,925,935,950,955,960,971,976,992,994,1009,1018,1025,1029,1043,1051,1061,1068,1076,1080,1090,1096,1110,1120,1127,1136,1142,1155,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,24,31,39,51,58,62,73,76,88,102,104,116,122,132,138,152,154,164,171,314,320,334,341,352,353,364,373,385,392,396,406,415,424,433,446,597,603,609,622,626,637,645,660,664,674,682,687,700,709,713,721,732,745,750,761,768,772,782,795,804,811,820,823,832,844,851,858,870,876,890,899,900,911,920,930,937,947,958,960,975,980,988,996,1003,1012,1019,1030,1039,1052,1058,1068,1072,1085,1095,1104,1111,1116,1121,1131,1143,1153,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,26,35,49,54,67,76,82,91,96,106,115,120,128,138,146,156,163,177,314,323,334,339,349,357,367,371,384,393,395,406,418,423,433,438,447,608,613,619,628,643,651,654,662,671,681,686,702,710,719,721,731,746,749,757,764,773,783,790,802,811,821,823,839,844,851,858,869,879,889,891,906,916,920,929,934,949,959,964,968,984,987,995,1006,1016,1026,1031,1038,1048,1058,1068,1072,1079,1088,1100,1106,1118,1126,1137,1147,1151,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,32,35,50,59,61,74,84,91,97,109,112,124,132,138,145,155,168,171,316,324,333,343,352,360,368,374,385,389,397,404,419,423,429,443,457,605,616,618,633,635,643,652,663,673,684,694,702,706,713,725,734,742,747,758,763,775,783,796,803,810,822,824,836,845,852,859,871,878,889,899,908,914,919,928,936,943,958,965,968,983,986,996,1008,1013,1022,1035,1044,1051,1053,1063,1078,1083,1089,1099,1109,1117,1126,1136,1141,1149,1164,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,26,36,48,56,67,73,77,93,96,106,117,127,128,141,152,156,162,171,316,326,334,343,347,355,368,377,382,394,401,404,416,424,436,442,467,607,615,626,634,636,648,655,666,671,679,690,696,704,713,721,730,740,749,756,769,780,784,792,798,810,816,824,832,847,853,858,866,879,887,895,905,908,920,925,935,950,951,965,971,977,989,1000,1003,1017,1024,1030,1040,1050,1061,1068,1074,1080,1089,1100,1109,1119,1124,1131,1147,1152,1156,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,26,42,51,53,67,70,81,85,98,103,113,122,135,141,150,156,166,179,190,326,334,339,349,358,364,376,380,391,398,405,415,422,433,446,596,602,612,620,632,643,645,660,661,674,678,693,696,710,714,728,734,738,749,760,766,771,788,789,799,807,817,829,839,844,853,863,867,877,885,898,905,914,924,926,935,946,955,967,976,977,990,998,1006,1018,1021,1031,1040,1050,1061,1062,1072,1080,1088,1101,1111,1121,1124,1131,1146,1152,1157,1170	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,16,20,27,35,43,54,65,75,84,88,94,109,117,125,133,139,149,157,162,176,179,323,329,343,350,357,364,377,382,386,398,406,420,429,435,441,467,602,614,620,632,638,647,652,665,674,679,686,699,710,717,723,734,744,752,761,766,772,783,789,804,810,821,827,835,848,850,863,867,879,889,891,905,911,923,931,935,944,958,967,975,980,986,1002,1009,1013,1019,1028,1039,1048,1055,1062,1074,1082,1092,1096,1107,1118,1126,1132,1145,1147,1163,1164,1178	1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
5,14,25,29,38,47,56,64,74,79,93,100,109,112,122,134,139,149,155,162,175,186,325,333,342,350,352,363,370,381,392,397,409,418,424,437,440,596,603,615,621,629,639,650,653,668,673,681,694,697,707,719,726,737,745,748,759,766,774,787,795,805,810,820,824,833,846,851,860,868,881,885,896,904,915,924,932,941,949,958,960,973,983,988,994,1002,1011,1019,1027,1044,1045,1058,1064,1076,1081,1093,1097,1112,1120,1127,1134,1146,1152,1156,1165	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1
0,15,22,32,42,49,52,65,76,77,91,100,108,119,127,134,141,145,161,167,178,184,326,328,337,347,352,362,376,386,391,396,405,415,421,433,444,599,602,611,624,630,641,645,652,664,672,681,687,697,705,713,724,732,739,754,756,766,773,786,796,803,809,819,828,837,842,856,861,868,877,887,894,900,914,918,932,941,947,959,967,973,978,986,1000,1008,1016,1022,1032,1041,1051,1058,1064,1075,1082,1089,1103,1109,1117,1128,1134,1145,1148,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,20,31,34,44,52,61,72,83,85,94,104,117,119,131,139,145,157,164,178,181,326,334,336,346,356,366,372,384,388,399,404,417,421,432,437,600,606,615,623,630,641,651,652,661,672,684,687,698,704,713,728,735,745,754,756,769,774,781,796,799,810,819,825,839,846,851,861,872,878,883,893,901,910,921,932,936,948,953,966,973,977,991,1001,1004,1012,1020,1030,1037,1051,1061,1069,1076,1086,1088,1099,1106,1118,1125,1132,1146,1147,1159,1167,1173	1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,18,31,40,42,59,66,70,85,89,96,105,114,119,132,142,152,156,163,176,179,320,334,341,345,359,367,373,380,389,397,404,419,422,436,445,596,602,609,618,630,635,649,652,664,671,685,687,695,707,717,724,729,740,753,762,765,778,785,789,802,812,818,829,832,842,854,858,872,876,888,896,905,909,924,931,935,947,957,965,969,981,986,997,1010,1012,1024,1032,1043,1045,1057,1064,1071,1087,1094,1104,1111,1117,1123,1134,1140,1155,1158,1165,1173	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0
6,15,18,29,40,47,57,64,76,78,89,99,107,115,125,133,145,149,155,170,173,186,322,332,336,344,358,361,370,379,391,397,408,416,429,434,444,469,603,609,622,628,641,646,656,668,669,682,693,697,706,719,725,730,745,746,756,770,777,784,791,804,813,816,825,836,846,853,860,872,880,886,894,902,915,924,931,940,950,954,964,972,979,991,997,1005,1016,1025,1034,1036,1052,1060,1064,1073,1084,1088,1103,1110,1118,1125,1131,1139,1150,1160,1166,1178	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,17,33,40,44,58,64,69,80,88,95,103,117,124,132,138,151,156,170,177,182,322,330,335,347,354,367,376,382,392,402,405,413,424,435,440,597,603,616,619,634,639,650,656,662,673,683,693,700,710,719,728,735,739,750,757,768,777,788,790,799,806,818,825,831,841,855,857,867,880,888,895,905,909,921,929,939,942,955,963,973,980,991,1001,1008,1017,1022,1030,1037,1049,1059,1068,1078,1082,1091,1102,1108,1119,1129,1134,1146,1149,1156,1169	0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,10,24,34,40,45,51,62,68,78,93,101,103,117,127,134,139,149,161,168,176,315,322,334,338,344,358,367,369,380,387,401,404,416,424,435,445,600,609,611,625,633,638,650,656,669,670,679,691,700,708,714,721,731,745,749,762,767,775,780,795,804,807,818,829,840,847,850,860,867,881,888,893,900,912,920,930,939,948,952,962,974,982,985,1001,1008,1011,1027,1032,1042,1052,1055,1068,1075,1084,1095,1097,1107,1118,1124,1130,1139,1148,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,29,35,46,56,62,74,76,87,98,106,119,127,133,137,145,158,170,173,196,323,333,339,349,358,366,371,385,391,399,411,413,421,433,443,600,603,612,619,634,641,650,653,665,673,681,692,700,711,712,726,732,743,750,761,767,780,786,794,801,810,818,827,840,841,853,857,874,875,890,898,901,914,925,927,936,949,957,960,972,981,992,995,1009,1016,1021,1030,1043,1045,1057,1070,1073,1084,1092,1104,1109,1113,1123,1131,1144,1155,1160,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,22,25,36,45,55,66,75,84,86,94,108,118,124,132,140,152,158,170,175,187,320,329,339,349,360,369,371,379,391,395,411,416,424,432,442,597,609,612,624,628,642,644,656,668,672,684,690,698,710,716,722,734,743,748,755,763,777,785,790,802,809,822,826,834,846,853,860,868,875,888,893,900,908,921,930,940,950,953,964,972,979,986,1001,1005,1013,1022,1031,1041,1048,1057,1062,1076,1081,1096,1097,1109,1114,1126,1133,1143,1153,1161,1167,1178	1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
6,14,21,27,42,44,57,61,76,79,90,96,105,116,122,135,144,145,158,169,174,183,320,334,335,346,361,366,372,383,388,403,407,419,427,436,438,599,604,613,625,633,635,647,657,668,671,681,687,702,710,720,727,736,740,749,759,764,774,785,797,802,814,815,828,832,843,851,860,873,874,884,896,900,914,922,932,939,944,955,963,976,977,985,1001,1005,1018,1026,1036,1038,1046,1054,1064,1076,1086,1094,1100,1105,1113,1126,1138,1139,1148,1162,1164,1176	0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,21,29,41,45,58,67,69,83,87,97,105,117,122,128,139,149,154,162,178,185,318,331,338,350,354,366,369,383,390,401,404,413,422,434,442,597,601,617,619,628,637,651,653,664,675,680,689,696,710,720,723,732,744,748,761,769,773,781,788,802,812,814,825,834,845,852,864,873,874,888,894,906,910,924,927,938,946,954,965,973,984,991,993,1003,1018,1020,1034,1039,1053,1058,1067,1074,1080,1091,1097,1109,1114,1127,1134,1141,1151,1159,1164,1174	0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
3,16,17,32,37,45,57,68,71,83,93,97,106,118,124,130,142,148,157,163,179,181,323,334,337,344,357,362,377,379,389,401,407,418,426,436,445,598,603,612,626,632,635,644,655,668,672,684,693,695,705,720,725,729,741,749,756,768,777,781,792,803,807,822,827,833,844,854,864,870,876,887,892,900,910,918,930,935,943,953,962,970,979,986,996,1008,1015,1022,1028,1040,1050,1056,1068,1075,1079,1093,1101,1105,1114,1127,1136,1142,1154,1161,1171	1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,22,30,37,47,53,66,75,81,87,100,108,111,119,134,143,150,156,166,173,179,321,334,343,349,353,364,376,378,392,396,411,413,425,433,441,463,603,617,625,634,638,646,658,662,670,685,687,696,707,711,723,736,742,754,755,766,775,784,790,805,808,821,823,837,844,853,861,868,876,885,892,902,909,918,926,935,948,956,959,973,981,991,994,1009,1013,1026,1033,1040,1047,1057,1065,1074,1082,1090,1100,1109,1119,1127,1137,1144,1147,1158,1164	0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,16,19,29,37,50,57,60,75,85,89,102,110,113,127,131,145,150,154,169,172,314,321,333,343,347,359,369,377,385,391,399,404,414,427,436,445,597,604,617,618,627,642,649,658,664,669,679,693,702,707,716,726,734,740,752,761,770,773,782,789,802,813,817,825,839,847,852,864,869,881,885,892,900,913,920,930,941,950,958,962,968,982,989,999,1010,1013,1021,1030,1042,1053,1054,1062,1077,1084,1092,1097,1109,1119,1122,1134,1139,1150,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,21,28,41,45,59,67,75,79,91,96,104,118,124,129,137,147,156,170,178,315,318,331,339,351,357,362,373,382,390,395,408,415,423,430,443,465,601,609,620,629,637,644,655,665,676,680,688,703,707,713,721,733,743,754,755,768,778,786,793,802,808,822,826,836,842,850,860,872,881,882,892,904,909,920,928,940,943,952,959,971,979,991,994,1003,1014,1023,1033,1044,1052,1060,1068,1078,1084,1090,1098,1109,1119,1127,1133,1146,1149,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,19,26,34,47,54,62,73,79,91,99,105,115,126,128,138,149,162,167,179,315,318,330,340,350,355,362,377,378,393,397,412,413,427,433,442,463,605,612,622,627,637,650,659,666,670,679,694,695,709,716,721,731,744,748,758,766,778,783,795,801,806,816,826,839,841,856,859,870,875,885,892,907,915,923,933,942,950,957,967,975,980,989,1000,1010,1014,1026,1027,1044,1048,1061,1064,1078,1084,1090,1102,1106,1117,1126,1132,1143,1154,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,23,27,34,50,53,66,74,77,89,94,109,113,124,132,137,151,157,164,172,317,325,334,339,345,356,365,375,385,391,401,404,413,427,432,440,597,605,612,620,627,638,648,654,661,676,678,691,699,708,720,724,737,744,752,762,770,774,784,792,800,806,817,826,839,846,855,858,868,880,889,895,907,910,918,932,938,950,952,964,975,978,993,1002,1007,1014,1023,1035,1037,1045,1060,1063,1078,1086,1095,1101,1105,1117,1129,1133,1141,1150,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,29,39,47,54,64,70,79,89,97,107,115,126,136,137,147,159,167,171,313,321,333,341,352,353,364,373,378,390,399,407,414,425,434,445,468,609,615,624,632,640,644,657,662,676,679,694,696,711,717,723,732,738,753,759,770,776,782,788,801,812,817,827,834,845,851,857,870,874,883,894,900,911,922,932,941,946,956,966,976,979,990,998,1010,1013,1021,1029,1037,1045,1053,1064,1074,1082,1095,1102,1111,1116,1126,1133,1142,1154,1160,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,28,36,47,58,64,69,81,88,94,108,111,125,130,139,145,157,165,179,313,320,333,343,344,359,363,376,380,393,403,405,413,424,430,444,462,608,614,625,633,642,647,654,667,675,684,693,695,704,715,722,737,743,753,755,770,779,785,792,803,809,818,829,836,841,852,864,869,876,884,898,906,909,918,928,936,942,958,962,973,978,992,993,1008,1019,1027,1031,1042,1047,1057,1065,1078,1083,1096,1097,1112,1118,1124,1131,1145,1151,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,30,37,48,59,60,69,84,93,96,105,118,125,128,143,148,153,165,172,316,320,333,340,345,352,363,376,378,392,397,408,412,428,429,443,600,608,615,624,632,642,643,652,666,669,681,692,703,707,719,728,730,739,749,758,767,777,785,794,802,813,819,829,832,841,852,860,873,878,891,896,904,911,925,930,938,946,951,960,968,979,990,1001,1009,1013,1024,1031,1044,1045,1058,1062,1070,1082,1090,1099,1109,1119,1128,1136,1142,1149,1163,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,29,41,48,52,62,72,79,88,98,110,117,125,133,142,147,155,166,177,314,324,330,340,348,356,368,370,379,392,401,405,414,426,435,446,600,603,614,618,626,641,648,654,665,673,683,689,696,707,711,726,730,745,749,756,769,773,780,791,799,808,820,830,831,843,851,858,870,879,887,893,907,914,922,926,942,944,953,960,975,979,987,996,1009,1015,1026,1032,1037,1049,1054,1069,1074,1083,1095,1097,1110,1115,1125,1134,1143,1151,1158,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,26,34,44,51,66,76,84,87,99,106,114,127,129,136,145,154,164,175,222,321,327,339,347,353,364,371,386,388,398,403,418,426,430,442,596,605,617,621,634,641,649,659,661,670,684,689,700,711,714,727,729,740,751,759,766,777,782,796,803,807,818,825,832,841,852,864,871,880,883,894,905,912,925,928,942,944,954,962,975,980,993,997,1005,1011,1026,1029,1043,1046,1058,1062,1074,1081,1088,1102,1105,1117,1128,1131,1142,1152,1158,1166,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
7,15,24,33,42,50,55,65,70,80,90,96,106,118,122,132,142,150,154,168,178,313,321,330,336,350,359,363,377,385,387,400,408,412,425,433,442,600,605,613,620,634,636,644,660,662,669,679,687,700,703,716,726,735,742,753,762,769,774,787,789,798,814,817,829,837,842,850,858,867,877,887,898,903,910,918,930,937,950,958,961,976,982,992,996,1004,1011,1020,1030,1043,1053,1059,1065,1071,1083,1094,1100,1107,1121,1124,1136,1141,1155,1161,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,30,38,44,58,67,75,79,92,98,106,112,125,130,143,148,155,162,172,315,318,333,341,348,357,363,376,378,390,398,406,420,428,436,438,599,603,617,622,633,641,646,653,662,670,681,687,697,703,716,722,734,744,747,761,769,772,786,793,798,813,822,824,834,843,854,864,873,879,889,892,905,908,924,927,934,948,952,967,970,984,985,998,1002,1011,1025,1033,1041,1050,1056,1070,1076,1086,1092,1099,1111,1116,1125,1132,1146,1152,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,25,39,49,57,60,71,81,88,97,110,114,123,135,136,150,154,168,174,316,319,333,342,346,360,368,375,384,389,402,410,416,425,435,444,468,608,616,626,630,643,648,654,664,669,684,693,700,705,716,723,736,743,754,758,765,774,786,789,798,810,822,826,838,844,853,859,866,880,885,891,903,912,918,932,934,945,954,966,975,982,992,1001,1002,1017,1024,1031,1041,1048,1061,1069,1075,1085,1092,1101,1107,1116,1128,1134,1141,1154,1157,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,24,32,35,45,55,66,72,81,88,97,110,117,123,130,145,148,160,166,177,317,318,327,336,349,360,367,374,380,394,398,410,416,423,430,446,450,604,616,619,633,640,648,659,663,672,682,692,696,706,719,728,736,743,747,757,767,775,781,795,803,813,816,830,835,844,855,860,872,874,887,897,904,913,925,932,934,942,956,960,975,984,987,993,1002,1010,1027,1030,1037,1052,1053,1069,1074,1084,1092,1097,1105,1119,1122,1134,1144,1151,1158,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,33,39,50,53,65,69,78,87,98,106,112,121,129,139,151,155,166,176,188,326,332,341,346,354,361,371,383,390,400,409,420,422,430,444,598,609,610,625,632,635,645,656,664,670,678,691,696,705,717,726,729,737,752,756,768,775,782,795,804,805,822,823,837,847,850,862,870,878,883,893,904,913,923,931,937,945,954,962,973,982,985,1001,1002,1017,1027,1036,1040,1050,1060,1070,1074,1082,1094,1104,1112,1115,1126,1134,1146,1155,1162,1171,1176	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,22,32,35,50,57,60,71,80,92,102,108,112,126,133,143,150,160,166,173,316,324,330,343,351,358,363,370,380,388,401,405,420,423,433,439,598,606,612,622,628,640,650,653,665,670,681,686,695,703,716,723,733,738,754,759,763,773,780,795,800,810,820,831,837,848,851,859,869,879,891,899,902,911,922,925,936,947,956,960,969,980,986,999,1004,1018,1023,1030,1040,1046,1056,1064,1079,1087,1092,1099,1107,1119,1130,1133,1142,1152,1161,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,20,27,34,50,55,63,72,80,91,98,103,115,123,133,141,147,153,168,174,316,319,333,340,351,357,363,376,384,394,402,411,412,422,434,441,598,603,611,624,627,637,651,658,667,674,686,693,702,703,717,726,736,740,751,755,769,777,786,791,805,809,821,828,835,846,851,857,866,881,884,898,905,908,917,930,937,945,957,963,970,982,991,997,1004,1015,1023,1032,1036,1049,1054,1069,1074,1083,1091,1103,1111,1114,1126,1130,1142,1149,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,26,36,46,56,60,69,82,87,98,102,116,124,132,141,147,161,170,177,314,320,330,341,348,355,368,376,379,386,395,412,414,425,433,445,598,605,614,619,630,638,646,659,669,673,678,689,700,705,715,722,736,742,746,760,770,778,781,794,800,806,819,829,837,841,850,860,868,877,883,896,905,908,920,925,934,949,954,966,969,981,986,996,1004,1011,1020,1032,1044,1052,1060,1070,1075,1083,1089,1104,1109,1120,1126,1133,1146,1148,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,25,32,34,45,54,60,70,81,92,97,107,116,125,136,139,145,159,162,173,314,322,331,340,345,358,366,376,379,395,397,408,412,426,433,445,449,605,612,625,631,641,649,653,664,671,684,687,702,703,719,721,736,745,749,755,765,772,787,795,801,813,817,825,836,847,852,862,869,875,883,896,900,915,917,933,941,945,955,962,969,983,985,996,1006,1011,1026,1029,1039,1050,1055,1066,1073,1084,1090,1103,1107,1120,1125,1136,1139,1148,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,26,41,43,55,63,68,81,87,102,106,113,120,133,139,149,155,167,174,314,322,331,336,343,352,361,375,379,387,399,407,419,426,429,442,597,603,616,623,628,637,649,652,667,677,682,692,695,705,718,721,735,744,752,755,764,776,784,791,801,810,816,827,835,846,850,865,870,880,891,896,903,912,919,930,941,944,951,963,968,981,991,994,1005,1017,1027,1029,1043,1047,1058,1068,1073,1082,1093,1100,1113,1117,1124,1135,1142,1155,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,22,28,35,44,52,60,68,82,91,100,109,118,123,136,141,147,161,166,174,318,324,334,336,352,354,364,371,383,393,402,407,414,427,435,442,599,601,614,623,630,638,644,659,660,675,685,693,698,711,715,728,730,745,751,761,770,777,780,791,800,813,821,828,835,842,850,857,873,876,885,892,902,910,923,926,935,947,954,965,973,978,992,1000,1008,1016,1026,1031,1038,1048,1054,1070,1071,1081,1088,1098,1107,1117,1126,1131,1139,1153,1157,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,29,35,45,59,67,72,76,88,97,104,118,121,136,141,151,161,168,171,315,319,331,340,350,352,367,372,383,394,397,410,419,427,435,442,597,605,611,619,630,639,644,655,660,674,684,690,698,710,719,721,730,737,748,756,764,774,784,796,802,808,821,828,839,845,848,858,872,880,883,894,904,910,919,927,939,944,955,967,975,980,989,994,1005,1012,1024,1031,1036,1053,1058,1066,1075,1084,1095,1097,1105,1114,1127,1131,1144,1149,1161,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,34,36,45,53,65,74,83,91,97,110,114,123,130,142,148,158,167,173,316,320,335,337,351,360,365,371,385,390,396,411,419,421,430,445,599,605,609,624,629,643,645,655,668,672,680,686,702,710,719,723,731,745,752,762,764,775,788,794,805,807,817,830,835,847,851,865,868,877,885,895,907,915,922,931,940,950,957,959,971,982,992,994,1009,1011,1023,1028,1037,1050,1061,1067,1074,1083,1089,1102,1111,1114,1125,1131,1143,1153,1157,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,31,40,48,52,67,72,84,90,99,102,111,123,133,138,149,155,164,172,318,322,330,340,350,356,364,371,381,386,401,409,416,423,435,439,447,602,617,621,628,641,647,659,662,673,685,693,696,708,714,726,732,744,754,758,768,777,780,792,798,809,815,826,834,845,855,857,865,877,884,892,905,914,924,930,940,946,955,964,969,976,986,1000,1006,1012,1019,1033,1038,1048,1053,1068,1073,1086,1091,1098,1107,1113,1124,1131,1141,1154,1164,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,33,37,43,53,61,71,78,87,99,104,118,119,132,138,148,157,163,177,315,326,327,341,349,359,364,371,380,387,396,404,416,426,433,441,597,602,616,618,628,641,651,653,664,674,678,691,703,707,712,722,732,743,749,760,768,778,787,796,801,810,814,828,835,842,855,861,871,874,887,892,906,913,917,926,935,945,951,967,975,980,993,994,1008,1014,1024,1032,1038,1050,1054,1069,1071,1087,1096,1100,1112,1118,1123,1134,1146,1149,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,32,40,46,57,65,74,82,92,96,106,117,121,128,144,152,160,164,172,317,324,329,340,346,352,363,373,385,388,401,410,415,421,437,445,468,606,616,624,632,636,649,652,662,669,682,691,702,707,719,725,736,739,751,762,766,772,784,794,802,809,815,826,839,845,850,863,872,879,882,892,904,916,924,931,942,946,953,963,968,985,990,1001,1007,1017,1021,1034,1040,1046,1058,1063,1071,1086,1094,1103,1108,1116,1122,1133,1142,1155,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,29,34,50,52,61,70,79,93,97,105,111,126,134,142,147,161,162,176,313,325,332,337,344,356,364,374,378,387,396,411,413,426,432,443,468,603,610,622,626,641,646,657,663,670,681,688,696,707,714,722,731,740,750,762,764,777,780,797,801,813,815,829,839,841,848,865,872,881,883,891,902,914,924,929,935,945,955,960,969,979,989,995,1004,1015,1023,1033,1043,1049,1057,1064,1075,1084,1093,1103,1113,1117,1125,1132,1139,1151,1159,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,20,33,41,50,57,65,68,81,86,94,109,115,127,133,143,147,157,163,176,181,324,334,336,344,359,362,377,386,387,400,408,415,422,436,440,455,602,616,618,632,640,651,655,666,677,678,689,701,706,719,720,731,744,749,757,768,776,784,790,801,808,816,828,837,844,851,861,866,878,886,899,905,914,923,932,939,950,954,965,972,979,990,998,1006,1016,1020,1036,1042,1046,1055,1064,1071,1081,1088,1098,1106,1120,1123,1136,1139,1150,1156,1166,1176	1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,10,19,28,40,45,56,65,76,81,86,98,103,115,125,134,138,146,160,163,177,179,318,333,335,348,353,367,373,378,387,399,407,419,428,433,441,597,604,616,620,626,638,648,658,663,676,684,692,702,705,717,727,732,739,749,762,764,774,781,794,797,813,822,828,837,840,851,860,873,882,888,894,901,912,922,930,936,949,958,965,976,977,987,996,1009,1016,1026,1033,1038,1046,1055,1067,1074,1082,1093,1100,1105,1121,1127,1137,1144,1149,1160,1171,1177	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,24,28,36,49,58,65,69,80,86,97,110,115,119,128,139,148,156,169,174,190,318,333,341,344,360,366,369,379,387,399,408,413,425,434,439,456,608,615,626,632,636,646,652,661,669,684,690,699,705,718,726,734,744,749,756,769,780,786,796,805,806,819,829,839,841,849,860,874,876,884,897,903,915,919,930,934,944,956,963,971,983,993,998,1005,1018,1020,1030,1038,1052,1058,1065,1071,1084,1089,1100,1107,1116,1126,1133,1143,1152,1159,1165,1174	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,18,30,37,42,52,64,74,79,93,95,108,113,125,128,144,148,153,162,178,183,325,328,338,345,354,368,376,381,394,397,408,413,423,430,444,598,604,615,619,634,641,650,655,662,675,685,694,701,705,718,728,731,739,749,758,770,775,782,794,803,806,821,827,831,846,854,864,868,881,887,896,904,916,924,927,938,943,957,967,969,984,987,1000,1005,1017,1026,1034,1038,1052,1058,1065,1078,1079,1091,1100,1104,1118,1125,1134,1143,1153,1158,1166,1177	1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,17,32,36,48,52,66,70,85,87,97,105,112,126,130,142,150,160,164,174,195,320,330,335,349,354,364,372,379,392,397,406,412,428,430,444,452,602,613,626,632,639,651,660,669,671,681,694,698,704,716,722,729,743,750,758,771,777,787,795,803,807,816,828,834,840,849,862,873,876,888,896,902,913,923,925,936,948,952,966,973,980,991,995,1008,1014,1025,1035,1036,1049,1054,1063,1076,1086,1094,1101,1111,1113,1126,1131,1144,1149,1160,1168	1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,13,17,26,40,44,51,61,68,79,93,102,109,116,125,132,143,152,157,163,177,187,325,328,341,350,360,369,370,383,387,397,409,415,422,432,445,597,608,617,618,626,641,648,655,666,669,678,688,701,711,712,728,731,737,749,756,763,773,788,796,804,810,822,831,832,840,853,862,873,877,890,894,900,912,918,931,934,950,955,960,975,978,990,1000,1007,1019,1020,1035,1041,1052,1058,1066,1075,1081,1089,1097,1113,1119,1123,1137,1145,1153,1158,1171,1173	0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
6,14,18,33,39,47,54,59,70,84,87,97,107,111,121,135,137,148,162,164,172,196,323,334,336,350,358,365,377,386,390,396,408,416,424,436,440,596,607,617,624,627,643,646,659,660,670,686,691,696,705,713,727,737,745,747,762,767,775,787,793,800,812,822,828,839,845,854,863,868,881,888,898,903,914,922,933,939,949,951,959,968,985,987,993,1007,1015,1021,1033,1042,1045,1057,1068,1079,1087,1093,1096,1113,1120,1126,1134,1144,1147,1158,1172	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,12,18,29,40,45,58,66,73,82,89,95,106,116,125,132,139,147,155,169,174,202,323,327,338,351,356,364,374,386,391,398,404,418,428,437,438,451,607,612,619,633,640,648,657,664,672,678,693,698,709,713,723,736,737,753,755,771,778,784,789,805,810,815,825,833,848,853,862,866,879,888,897,906,910,924,927,937,943,952,960,975,982,988,1001,1003,1016,1022,1028,1039,1051,1057,1065,1074,1080,1087,1096,1107,1120,1123,1132,1139,1152,1163,1170,1176	0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
5,9,23,26,37,48,55,64,69,83,89,98,108,117,121,129,143,149,156,165,177,315,325,331,337,344,357,366,376,384,393,398,404,415,422,431,440,599,607,615,621,627,637,650,659,663,673,677,690,699,705,714,728,729,738,751,761,770,775,784,790,799,813,816,828,832,840,851,863,870,877,889,896,899,910,920,928,940,945,957,960,968,982,985,998,1003,1016,1024,1035,1040,1046,1059,1070,1073,1087,1092,1103,1107,1114,1126,1138,1145,1150,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,17,26,38,46,59,62,72,78,85,100,104,112,123,132,137,145,157,169,171,181,322,327,343,351,356,363,373,380,387,398,406,416,423,435,443,598,602,612,620,632,640,645,657,666,671,681,686,696,709,712,725,737,738,750,761,766,777,787,792,801,809,815,827,832,843,849,859,872,875,882,895,906,913,918,932,938,946,955,965,970,980,988,999,1002,1012,1019,1028,1038,1051,1060,1062,1075,1084,1090,1101,1105,1116,1129,1138,1140,1149,1164,1172	1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,17,23,32,40,47,55,66,73,81,90,101,110,117,122,134,144,146,160,168,175,192,320,334,337,349,359,365,375,379,390,401,404,413,426,434,440,463,607,611,626,628,635,648,655,662,669,685,693,701,710,712,724,736,739,752,761,771,777,784,795,798,810,821,827,835,843,849,858,874,877,885,892,901,910,919,925,934,947,957,965,973,983,991,997,1005,1014,1025,1028,1039,1050,1055,1063,1073,1080,1092,1096,1107,1118,1122,1132,1144,1154,1159,1170,1178	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,22,30,39,50,55,61,70,81,88,98,105,113,119,133,144,146,154,170,172,196,320,330,336,344,356,362,369,379,389,401,407,419,427,434,443,471,604,614,621,628,635,644,655,662,676,679,688,701,710,719,726,732,740,753,758,768,773,785,791,799,813,819,826,839,840,848,858,872,874,887,899,906,915,920,925,942,947,957,965,973,981,985,993,1009,1011,1025,1033,1040,1047,1059,1066,1076,1084,1093,1096,1111,1118,1128,1133,1143,1152,1163,1169,1174	1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,23,26,36,47,52,64,68,82,85,101,102,118,121,135,139,147,159,166,172,315,322,327,339,345,355,365,370,380,392,398,404,417,421,432,441,600,603,609,622,627,638,643,654,664,671,683,693,696,710,715,727,732,738,747,756,767,775,781,792,800,810,819,825,838,841,854,857,873,876,888,894,904,915,925,931,939,944,951,961,971,981,990,998,1004,1014,1021,1030,1036,1046,1058,1070,1073,1083,1094,1101,1107,1117,1127,1133,1139,1152,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,24,31,37,48,57,67,69,81,87,102,104,112,121,131,138,152,158,166,173,314,318,327,336,347,354,366,377,380,395,400,405,420,424,433,446,449,604,612,623,630,637,646,659,660,675,684,694,696,708,716,726,729,741,746,762,771,778,785,790,803,809,815,828,835,845,855,857,869,875,885,897,905,908,924,925,942,947,955,965,973,980,986,997,1009,1016,1024,1034,1037,1050,1059,1069,1072,1085,1094,1104,1105,1119,1128,1136,1142,1152,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,33,42,49,56,67,74,79,93,99,109,114,126,130,137,149,154,166,173,194,323,329,340,346,356,362,377,378,393,399,404,417,425,434,445,460,607,610,622,627,636,650,652,667,674,683,693,702,706,716,723,737,740,750,763,767,775,781,797,798,811,818,826,835,847,856,860,872,879,890,899,903,915,920,928,934,943,959,967,970,978,990,999,1007,1018,1020,1031,1040,1049,1054,1067,1073,1084,1093,1097,1109,1115,1127,1138,1147,1153,1163,1169,1177	1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,23,31,41,42,51,66,69,81,86,95,109,114,127,130,142,153,154,166,178,313,326,330,336,349,356,363,374,385,388,401,411,415,428,432,443,600,605,613,625,628,641,644,653,664,674,682,686,701,711,720,725,735,742,748,758,768,771,781,796,802,813,822,826,833,844,849,862,871,876,883,899,905,908,922,932,936,948,957,960,970,984,993,999,1008,1016,1023,1029,1040,1046,1058,1066,1075,1086,1088,1098,1110,1113,1128,1135,1146,1155,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,29,36,47,55,62,73,84,92,95,106,111,121,128,137,151,156,162,178,313,326,333,337,348,357,365,369,380,395,398,411,414,427,431,442,456,605,613,620,631,636,650,656,661,673,684,692,695,705,714,722,729,742,753,759,767,779,783,796,799,807,821,828,834,840,852,863,867,876,888,899,905,910,918,928,938,945,953,961,974,979,990,1000,1009,1013,1022,1030,1038,1051,1058,1063,1078,1086,1087,1101,1109,1119,1125,1131,1146,1153,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,25,29,37,47,53,68,74,76,91,95,102,116,122,130,136,146,154,165,175,316,318,333,339,349,360,362,372,379,393,400,410,414,424,429,439,599,605,609,619,628,636,648,659,668,674,684,687,700,704,716,727,734,742,749,757,771,780,788,789,801,812,819,823,833,841,853,864,870,876,885,898,901,909,924,930,937,943,952,965,973,980,987,1000,1002,1011,1027,1030,1038,1051,1061,1066,1078,1084,1093,1102,1113,1119,1124,1138,1141,1151,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,17,26,38,49,56,62,69,83,91,100,107,114,126,130,141,145,159,170,172,316,318,327,342,345,354,363,373,383,391,401,412,415,425,437,442,600,602,613,626,634,637,647,657,666,674,683,687,700,708,715,724,731,745,751,756,770,778,780,793,803,808,822,828,837,844,855,860,865,874,884,897,901,912,917,931,936,949,955,964,974,978,985,1001,1003,1012,1023,1036,1038,1046,1057,1062,1074,1081,1095,1102,1109,1121,1125,1130,1144,1148,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,17,27,40,45,54,64,69,79,90,94,104,113,120,132,137,150,160,169,172,313,323,331,337,344,357,363,375,384,393,401,404,420,424,432,439,599,601,616,624,628,643,646,655,665,675,682,692,695,709,717,722,734,739,747,761,770,776,782,796,797,812,815,829,838,847,855,865,866,882,889,899,901,909,923,927,936,948,954,962,972,984,993,998,1005,1013,1027,1033,1039,1046,1060,1063,1076,1082,1091,1099,1105,1121,1129,1138,1145,1150,1158,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,26,39,44,55,60,69,80,85,94,105,117,119,135,137,152,157,165,173,316,320,327,342,347,357,363,371,384,390,402,409,419,424,432,447,596,608,614,620,632,638,650,656,666,676,685,690,703,711,712,728,729,743,747,760,768,778,786,796,803,808,814,826,834,846,849,859,870,880,887,892,901,910,925,928,936,947,953,960,969,977,985,998,1003,1018,1020,1028,1040,1053,1056,1069,1075,1085,1089,1102,1106,1117,1126,1135,1141,1155,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,24,26,40,49,55,62,68,81,90,99,106,114,121,133,142,146,159,165,174,316,322,327,338,348,358,369,375,383,392,402,409,420,421,432,444,447,607,615,621,634,635,647,652,666,670,679,687,698,703,715,728,734,740,749,758,765,774,782,793,797,812,818,828,833,841,852,861,869,875,883,894,900,916,918,932,941,950,959,966,972,979,987,994,1003,1018,1026,1032,1040,1050,1054,1063,1074,1081,1088,1099,1106,1115,1128,1132,1144,1147,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,26,38,48,57,67,72,82,86,101,105,112,121,128,142,152,160,163,175,315,319,332,337,344,352,366,375,383,390,395,406,416,428,431,440,598,603,610,624,634,637,647,658,669,672,680,687,697,705,715,723,732,739,746,757,768,775,782,789,800,813,816,828,831,845,849,859,871,878,888,895,906,909,922,929,936,950,951,966,969,978,989,994,1008,1016,1020,1028,1039,1046,1056,1064,1077,1086,1091,1103,1105,1117,1127,1131,1142,1148,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,33,39,50,54,61,71,83,88,94,107,113,126,132,140,153,157,163,175,182,318,329,343,352,355,365,373,383,390,397,408,418,427,437,446,447,603,615,623,631,639,648,654,662,675,678,693,696,704,716,728,733,737,750,756,770,779,783,795,800,806,821,828,839,841,855,860,867,878,888,896,904,914,918,932,939,948,956,960,974,978,988,1001,1008,1013,1019,1030,1041,1047,1059,1068,1077,1087,1089,1100,1110,1119,1122,1130,1140,1154,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,13,25,29,35,48,54,65,70,79,92,95,109,116,124,133,138,149,158,164,172,313,325,327,335,344,355,365,369,383,394,398,408,412,424,434,438,597,602,616,626,629,635,651,659,661,675,682,689,702,708,717,726,735,740,746,756,768,779,783,796,802,810,822,828,838,846,856,863,868,876,886,897,900,915,919,929,937,944,958,965,969,983,990,997,1007,1014,1025,1035,1037,1045,1058,1064,1072,1082,1094,1103,1112,1116,1122,1135,1140,1151,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,26,39,43,58,61,72,77,93,99,110,111,127,132,141,152,160,166,176,313,321,331,338,351,357,368,371,385,387,401,406,412,426,437,443,599,602,613,618,626,636,645,660,668,671,682,690,697,706,716,723,729,744,749,756,767,775,785,790,800,814,819,827,837,841,854,857,868,877,889,893,905,915,922,927,936,945,958,964,972,984,987,995,1009,1017,1019,1029,1041,1051,1059,1064,1076,1083,1090,1103,1106,1116,1122,1138,1141,1150,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,24,26,38,45,51,67,75,84,85,96,106,111,125,131,139,150,154,170,173,317,321,332,339,348,353,362,371,379,387,397,409,419,426,429,446,597,605,612,622,634,637,648,659,663,671,681,688,696,705,716,726,730,740,748,761,768,774,782,789,798,808,815,829,831,845,854,861,867,882,884,898,903,915,920,931,941,950,951,966,976,983,988,1001,1008,1015,1024,1035,1036,1046,1055,1068,1076,1086,1093,1096,1107,1121,1124,1133,1142,1149,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,20,29,37,45,55,65,68,77,91,97,108,114,123,129,141,149,156,169,173,314,321,333,343,348,354,361,372,385,393,401,405,413,422,433,444,458,602,613,620,629,642,648,656,666,675,683,694,699,706,715,728,733,741,753,758,769,773,780,796,802,806,821,828,832,847,855,864,867,881,886,892,906,916,922,930,941,948,957,961,976,981,989,998,1004,1011,1022,1033,1042,1046,1061,1068,1072,1084,1093,1101,1105,1116,1125,1134,1145,1151,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,20,31,40,49,52,60,71,81,90,95,108,114,121,135,140,153,155,169,177,185,321,328,338,347,355,362,375,382,392,397,407,414,421,430,442,600,604,617,620,630,642,646,659,660,674,679,690,695,705,718,722,736,741,750,756,765,774,785,791,802,812,822,825,838,847,854,862,869,875,890,898,902,912,921,932,936,949,958,962,972,984,987,998,1002,1012,1023,1031,1042,1048,1057,1064,1075,1085,1092,1096,1108,1119,1123,1135,1142,1147,1164,1167,1178	1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
2,13,17,26,35,47,56,60,75,78,89,102,110,113,121,135,141,146,161,162,172,316,321,327,338,347,360,362,369,386,394,401,410,412,425,433,446,598,602,613,624,628,636,647,653,666,676,684,693,695,710,712,722,733,741,749,761,763,779,783,795,800,806,814,830,832,841,854,863,867,878,888,892,904,916,920,927,941,948,953,963,971,983,986,997,1002,1014,1023,1036,1044,1046,1056,1064,1071,1079,1090,1101,1112,1116,1128,1135,1139,1154,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,21,28,34,50,55,63,71,80,87,99,106,119,123,130,140,149,155,164,170,316,325,334,340,344,358,362,372,378,391,395,404,413,420,432,445,465,608,612,624,633,639,645,655,668,673,684,686,698,705,719,726,730,743,746,755,763,771,787,791,803,807,817,823,833,846,854,858,868,876,886,896,903,912,917,930,940,949,958,961,970,979,988,995,1007,1011,1021,1035,1041,1053,1054,1062,1078,1081,1092,1099,1107,1121,1122,1134,1141,1151,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,24,27,41,48,54,68,76,77,88,98,105,112,124,132,143,148,156,163,175,316,320,326,337,349,352,368,372,384,388,396,411,418,422,431,438,596,602,616,623,633,642,647,654,669,676,683,691,697,711,719,724,734,742,752,762,764,772,782,789,805,812,820,827,832,846,850,857,872,879,885,893,907,911,917,927,937,947,958,961,976,982,989,1000,1003,1011,1021,1035,1040,1047,1058,1063,1078,1080,1095,1103,1112,1116,1126,1132,1141,1153,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,20,29,37,43,53,63,75,84,90,97,108,111,121,129,136,149,159,162,177,314,325,328,340,346,356,367,374,385,389,398,408,416,422,434,439,597,602,611,619,629,635,644,653,668,674,682,690,702,706,720,723,729,745,748,756,771,776,787,795,803,807,814,824,834,841,854,860,868,877,888,891,900,908,917,927,937,946,952,959,976,979,991,1001,1006,1012,1026,1032,1039,1047,1057,1062,1077,1084,1096,1102,1111,1116,1127,1138,1145,1151,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,22,29,37,49,52,64,73,78,93,94,110,111,123,128,139,149,161,165,178,315,325,327,339,346,353,365,374,385,392,401,408,417,429,432,439,596,602,615,620,633,641,652,653,665,675,681,692,697,710,717,722,734,742,747,757,771,780,785,793,797,813,816,830,837,847,854,859,872,877,888,893,903,913,922,926,939,948,956,961,971,982,991,997,1004,1018,1023,1035,1040,1045,1054,1067,1077,1080,1091,1101,1111,1116,1122,1134,1147,1154,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,33,36,47,57,64,68,78,89,99,106,111,125,128,144,152,159,162,178,315,323,328,336,346,357,361,372,379,386,400,405,420,423,429,441,600,608,609,623,629,635,645,657,666,673,681,692,696,706,712,726,731,744,747,760,769,779,785,797,804,813,822,830,831,845,850,858,867,875,888,897,906,911,922,926,934,944,955,966,974,979,987,1000,1008,1012,1027,1032,1037,1045,1055,1070,1077,1079,1087,1099,1112,1121,1126,1136,1141,1153,1156,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,29,40,49,53,67,69,81,89,100,109,118,122,134,144,146,158,165,178,317,319,328,336,344,354,367,377,378,394,403,406,412,424,436,440,454,602,616,624,630,635,648,656,667,675,681,689,696,704,718,728,732,741,754,762,770,775,781,790,803,807,817,824,836,842,853,858,869,875,887,891,903,914,925,927,934,948,956,967,976,977,985,995,1007,1016,1020,1031,1037,1046,1057,1063,1070,1083,1095,1102,1105,1118,1125,1134,1141,1154,1161,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,22,26,38,45,54,62,73,82,90,95,103,114,124,135,143,150,160,165,175,317,319,327,343,346,356,367,376,385,394,398,405,415,426,432,444,449,606,615,623,632,639,650,657,668,677,685,688,694,704,715,722,731,739,749,757,765,772,784,796,800,808,820,825,837,843,849,860,866,882,884,895,906,913,920,930,936,949,953,965,972,983,989,998,1005,1014,1019,1031,1040,1046,1061,1063,1075,1084,1092,1099,1109,1114,1124,1134,1141,1149,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,30,36,49,51,60,73,76,88,99,109,114,120,132,138,153,156,162,176,317,321,331,335,347,354,368,373,383,386,397,411,414,424,431,438,460,605,616,620,634,637,649,657,662,671,680,692,699,709,716,727,731,741,751,758,767,780,786,789,801,812,816,825,837,843,851,857,868,877,883,898,902,914,917,925,942,948,952,962,973,981,992,998,1010,1011,1026,1035,1044,1048,1054,1065,1075,1087,1088,1104,1109,1120,1128,1136,1141,1152,1164,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,32,36,46,56,62,74,80,93,98,109,112,121,134,143,149,157,168,173,313,322,331,338,350,357,362,373,379,392,400,411,418,424,433,443,598,605,616,620,630,639,649,655,660,671,682,688,702,709,718,725,732,743,748,754,771,772,782,793,804,810,820,831,837,847,853,860,871,879,886,898,906,909,925,927,934,943,957,965,973,981,991,996,1004,1012,1025,1030,1036,1047,1054,1063,1072,1080,1095,1098,1108,1114,1126,1131,1140,1152,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,21,30,34,47,57,63,72,79,88,99,104,113,120,128,139,149,161,169,171,313,323,332,342,347,359,367,374,383,389,401,406,415,428,435,446,600,606,611,622,631,641,645,659,667,672,678,689,700,707,716,720,731,740,747,756,770,775,781,789,803,809,815,823,834,842,856,861,868,878,885,892,903,908,923,926,937,944,952,964,972,978,989,996,1009,1018,1027,1029,1037,1049,1056,1062,1077,1085,1092,1100,1105,1120,1128,1132,1140,1150,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,20,30,39,44,56,66,70,81,93,100,104,113,119,130,142,153,158,162,172,317,320,328,342,347,356,366,374,384,394,399,411,418,422,431,444,468,604,610,618,628,639,651,657,664,673,679,689,699,710,718,721,729,742,747,760,771,778,786,790,800,813,821,828,831,846,854,858,872,882,884,897,899,915,922,928,942,944,956,967,969,980,986,1001,1009,1012,1024,1032,1039,1046,1057,1067,1074,1079,1088,1103,1110,1117,1124,1134,1146,1148,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,27,35,44,53,64,70,77,90,100,102,118,123,133,137,152,161,165,173,184,325,332,343,346,360,362,371,385,393,398,411,413,422,436,445,466,606,616,619,633,640,649,658,665,674,682,694,700,705,714,727,735,739,752,760,769,774,784,790,799,811,820,829,834,844,855,858,871,882,890,896,906,911,918,932,940,950,954,967,970,982,987,997,1003,1017,1024,1035,1038,1050,1055,1066,1072,1081,1091,1102,1104,1115,1126,1133,1143,1153,1159,1169,1177	1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,11,22,27,35,49,51,63,69,84,93,101,105,111,123,131,140,148,158,162,179,183,322,332,341,344,358,362,375,378,393,400,410,412,428,437,442,600,606,615,621,634,641,644,654,666,676,684,694,698,709,713,721,733,741,752,755,769,773,784,791,797,809,818,824,836,847,849,858,866,876,889,896,906,915,920,929,939,950,956,965,973,980,986,1000,1007,1014,1022,1033,1040,1048,1056,1068,1075,1082,1091,1097,1105,1119,1124,1138,1145,1151,1159,1166,1176	0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
4,15,23,30,36,45,57,65,73,85,88,94,102,115,125,131,142,145,161,163,173,180,319,333,337,351,354,362,371,384,394,400,407,419,424,434,439,597,607,617,623,626,635,651,656,666,672,684,686,701,710,717,727,733,743,752,763,770,779,786,795,803,808,817,828,839,845,852,857,865,878,883,898,900,908,920,926,934,950,957,960,974,981,986,997,1007,1012,1022,1034,1037,1050,1058,1063,1077,1080,1090,1103,1109,1119,1124,1137,1143,1149,1160,1168,1173	1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,19,25,40,50,54,66,73,83,90,95,104,112,123,135,143,151,157,169,176,190,318,332,337,348,356,367,370,381,387,400,407,416,421,429,444,600,604,613,622,628,636,651,658,662,671,679,692,703,706,717,725,732,744,747,756,770,777,783,794,801,806,816,828,838,845,851,862,869,877,884,895,902,911,925,933,934,944,957,960,970,976,993,995,1007,1016,1026,1031,1040,1051,1055,1068,1075,1085,1094,1099,1110,1115,1122,1131,1139,1149,1159,1170,1174	1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,15,21,32,37,45,54,61,75,77,85,94,109,115,124,133,140,152,155,170,175,186,326,329,337,345,356,365,377,384,392,400,410,419,429,435,445,600,607,611,622,630,638,644,652,661,670,680,691,701,708,712,724,731,743,752,757,769,774,783,797,802,807,820,823,837,843,856,859,869,874,886,898,904,908,921,929,940,946,956,965,974,977,989,998,1008,1017,1026,1029,1040,1045,1055,1064,1073,1079,1088,1103,1111,1118,1126,1133,1141,1151,1157,1172	1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
5,16,24,30,40,42,53,63,75,82,85,98,110,113,125,129,143,152,161,165,175,185,323,326,335,348,360,363,372,382,392,396,407,420,421,431,440,598,604,615,622,627,642,645,657,666,673,680,692,697,711,714,726,736,745,753,757,764,773,782,788,797,812,822,827,834,841,851,862,868,880,884,899,907,909,925,927,936,943,956,967,970,981,985,999,1007,1011,1021,1035,1044,1052,1061,1067,1071,1086,1088,1102,1104,1119,1130,1136,1139,1148,1157,1172,1177	1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,16,22,32,41,45,55,60,72,78,85,99,108,118,125,135,140,148,157,164,177,187,326,328,337,347,353,365,374,385,391,403,411,417,427,437,440,453,605,611,621,626,638,648,653,666,674,685,693,702,710,712,721,732,741,751,756,771,779,783,795,804,810,815,823,837,842,852,860,867,876,883,896,902,910,921,931,936,947,956,964,974,984,987,994,1006,1015,1022,1032,1042,1053,1060,1062,1073,1084,1088,1100,1113,1116,1122,1131,1138,1155,1157,1167,1177	0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,23,26,40,48,57,59,69,81,92,95,109,112,123,128,140,146,161,163,172,180,321,326,341,347,360,364,373,380,392,399,405,415,426,436,445,596,602,615,620,626,642,649,655,661,672,680,693,703,706,718,720,737,741,751,755,764,774,785,790,797,808,819,824,832,847,851,861,871,876,882,895,899,914,922,931,934,950,958,960,972,984,991,998,1008,1011,1021,1033,1037,1049,1056,1063,1074,1080,1095,1096,1106,1116,1126,1130,1142,1155,1156,1167,1174	1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
1,12,21,30,42,50,59,61,74,80,93,95,105,114,128,136,138,151,161,166,176,314,321,329,343,351,355,361,369,382,389,401,409,416,424,437,444,596,607,615,618,627,643,645,655,665,669,678,688,702,704,719,726,731,742,751,761,769,776,783,788,800,809,818,829,836,848,849,858,867,875,888,895,905,914,925,930,941,948,957,964,970,977,989,1001,1006,1016,1022,1028,1041,1052,1054,1070,1075,1086,1094,1101,1107,1114,1126,1131,1145,1150,1157,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,22,29,35,51,56,67,69,83,90,97,108,118,124,136,140,151,156,169,179,183,322,333,338,348,360,361,369,384,391,400,404,418,427,432,438,598,607,609,624,626,636,646,657,668,669,684,692,699,707,713,725,729,738,750,757,768,778,782,793,801,809,815,831,838,843,849,864,869,874,886,898,900,915,918,929,937,945,955,967,976,984,986,1001,1010,1014,1026,1031,1037,1051,1059,1066,1071,1079,1088,1098,1107,1120,1127,1137,1141,1150,1163,1167,1173	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,20,30,35,42,57,61,75,82,86,95,103,114,127,131,136,153,161,165,176,185,323,327,335,345,360,364,376,379,393,396,409,413,426,433,443,460,605,614,626,633,642,648,652,663,672,681,690,699,710,712,725,731,740,746,762,770,779,780,794,798,814,821,826,839,840,850,859,871,875,884,891,903,909,920,932,941,944,958,965,970,981,986,1000,1010,1019,1027,1036,1042,1049,1053,1070,1077,1085,1091,1101,1110,1118,1126,1135,1140,1150,1157,1169,1173	1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,8,24,30,37,44,55,62,71,77,88,100,104,118,122,132,144,147,160,163,174,184,324,328,343,350,360,367,375,378,391,397,411,417,423,435,441,599,606,617,618,629,641,646,658,661,674,681,693,701,708,715,725,732,737,752,756,764,776,787,796,801,810,814,831,838,845,852,861,870,875,884,898,900,913,920,929,935,945,955,966,972,978,985,999,1003,1014,1025,1034,1039,1045,1054,1062,1071,1084,1091,1103,1107,1121,1124,1132,1145,1155,1162,1168	1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,22,31,38,43,55,67,68,82,89,100,105,116,122,129,144,145,161,170,173,183,319,332,341,349,354,367,372,385,389,397,407,418,425,434,446,448,602,612,621,634,642,647,660,661,673,679,693,695,711,717,722,729,742,748,761,764,777,782,789,801,810,818,828,835,842,849,857,872,875,883,894,901,910,918,930,936,949,951,967,972,978,992,997,1005,1012,1022,1036,1043,1047,1060,1067,1074,1080,1088,1100,1107,1119,1122,1133,1144,1150,1158,1169	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
5,8,20,33,41,45,55,66,76,77,88,94,110,111,126,136,144,148,160,169,178,180,321,334,339,351,356,369,377,382,389,399,408,412,427,433,440,597,607,613,623,629,641,647,658,668,671,678,689,697,706,719,727,733,744,749,758,768,778,783,791,799,807,818,824,832,843,855,859,872,874,886,893,904,915,924,931,938,947,955,960,970,978,986,1002,1009,1012,1022,1032,1043,1049,1056,1068,1072,1087,1092,1099,1108,1119,1122,1136,1146,1154,1161,1166	1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,8,17,32,34,47,58,65,76,79,87,97,106,119,120,132,144,148,160,170,171,198,326,327,337,346,357,361,377,385,390,397,408,413,425,437,441,600,602,609,624,629,636,647,656,663,672,685,686,700,710,718,726,730,743,746,759,764,778,781,789,802,810,816,830,832,844,851,859,870,875,888,892,901,909,919,931,942,946,955,961,969,980,988,999,1008,1014,1027,1035,1038,1047,1056,1066,1071,1083,1090,1097,1112,1113,1129,1133,1145,1151,1157,1166,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,10,23,29,36,48,59,68,70,84,90,95,105,117,121,128,141,151,162,168,174,317,324,328,342,345,360,367,370,383,386,398,408,416,429,436,439,597,602,615,625,628,638,645,660,668,671,678,691,701,711,712,724,734,745,752,760,768,777,782,796,803,811,816,824,833,843,853,857,866,874,885,895,905,910,919,926,935,950,953,965,968,979,987,994,1009,1015,1026,1030,1040,1051,1061,1065,1073,1086,1093,1098,1107,1120,1124,1133,1141,1150,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,29,41,49,58,60,71,81,88,94,105,117,126,132,139,147,157,170,176,318,320,329,337,348,355,362,371,378,391,402,409,413,425,431,446,600,602,617,624,630,637,651,656,664,673,685,689,700,706,719,722,735,742,752,759,771,776,781,792,804,811,822,826,837,846,851,862,872,877,883,899,905,910,919,930,940,948,957,966,976,978,986,1000,1005,1013,1021,1030,1039,1045,1054,1064,1076,1081,1089,1104,1111,1116,1130,1133,1140,1155,1163,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,22,28,37,46,59,68,71,80,87,102,110,116,123,130,141,150,161,165,172,314,326,332,339,349,360,367,377,382,388,400,410,420,423,432,441,599,609,617,620,628,635,649,660,667,674,678,687,698,703,715,722,732,744,746,758,765,775,786,794,800,813,817,826,839,840,850,860,866,875,888,897,906,915,923,931,935,948,953,964,975,978,991,999,1004,1019,1020,1033,1043,1046,1054,1068,1077,1084,1094,1104,1112,1117,1128,1133,1144,1154,1156,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,17,31,40,45,54,59,75,81,91,94,107,111,125,129,137,149,155,168,172,314,325,328,339,351,354,366,370,383,390,398,407,419,423,435,443,599,602,609,618,628,638,649,659,662,670,683,694,695,706,720,728,729,742,746,759,764,775,780,794,798,810,816,828,833,844,852,857,866,880,886,891,904,912,921,929,939,943,953,960,971,978,992,997,1006,1016,1022,1029,1036,1047,1058,1065,1076,1080,1092,1101,1109,1116,1124,1136,1139,1147,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,17,30,39,49,51,61,68,84,88,99,110,112,124,135,141,151,158,165,175,316,325,328,343,345,357,366,374,378,391,402,406,416,428,429,443,462,607,613,623,626,639,651,657,664,675,684,686,697,706,717,726,730,743,748,758,764,779,782,793,804,807,821,828,835,842,851,860,870,877,891,896,906,911,923,929,935,946,959,964,975,977,988,1002,1008,1016,1024,1034,1038,1052,1057,1065,1075,1079,1090,1104,1110,1119,1125,1132,1146,1152,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,33,39,48,51,66,75,81,90,99,104,118,120,135,140,150,156,165,174,316,318,327,338,345,355,367,375,379,394,402,410,419,423,434,438,454,604,614,623,627,635,645,658,665,669,681,690,701,709,720,728,734,738,753,762,768,772,786,796,802,808,821,830,839,845,854,863,873,876,890,891,908,909,922,932,938,944,951,961,976,978,985,997,1008,1016,1025,1032,1040,1047,1054,1066,1077,1079,1093,1099,1108,1121,1125,1136,1145,1151,1159,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,25,26,34,47,51,59,69,77,89,102,105,115,122,131,139,146,156,170,178,316,325,331,339,344,360,364,370,380,390,396,411,417,427,435,443,597,603,611,625,627,635,646,652,666,677,686,687,700,704,717,728,729,744,753,759,770,779,785,791,800,808,819,824,837,847,856,861,870,880,888,898,903,909,922,929,940,944,956,962,975,985,989,995,1007,1013,1026,1030,1039,1047,1057,1065,1072,1087,1091,1103,1108,1121,1129,1134,1139,1152,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,32,42,49,51,62,68,80,90,101,103,113,120,130,137,148,157,166,175,316,319,330,339,347,360,369,370,378,393,395,404,413,421,435,443,452,601,612,625,632,637,646,659,661,672,681,688,698,704,720,728,732,745,747,760,764,775,785,797,798,813,814,824,836,846,851,862,870,874,887,897,903,915,925,932,938,947,954,961,968,980,991,1002,1009,1018,1021,1028,1043,1049,1058,1063,1071,1079,1088,1101,1107,1117,1126,1138,1141,1154,1157,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,32,35,51,59,61,74,81,87,101,107,111,121,136,140,151,155,169,175,194,321,332,342,350,356,369,370,384,387,399,409,415,424,434,438,596,608,617,620,629,640,647,657,665,671,684,692,698,709,712,725,737,739,751,758,766,780,787,792,800,812,817,827,837,841,851,857,869,875,883,893,905,915,919,933,937,949,953,962,974,984,985,995,1007,1011,1020,1035,1044,1045,1057,1062,1074,1083,1093,1104,1109,1114,1128,1138,1140,1147,1158,1167,1176	0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,8,24,27,38,48,55,63,75,80,93,97,110,114,126,132,143,151,154,163,171,314,322,332,335,349,360,364,370,381,390,403,404,420,424,432,440,596,607,612,625,634,636,649,659,666,671,678,694,698,707,713,725,734,744,746,756,770,772,787,790,804,810,821,826,837,843,852,862,867,877,888,899,902,910,919,930,936,943,953,959,969,984,992,1000,1002,1019,1027,1031,1039,1052,1053,1065,1078,1079,1089,1100,1112,1119,1123,1132,1147,1149,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,30,39,47,59,64,70,84,92,97,103,119,126,135,142,150,162,168,177,317,325,331,341,349,359,367,372,380,391,399,411,420,427,431,439,599,603,615,621,632,636,652,653,663,676,686,693,701,709,719,724,733,743,750,762,768,771,780,796,801,811,819,827,834,840,851,859,873,882,888,897,907,910,919,933,939,943,959,963,969,981,986,994,1004,1012,1019,1031,1042,1049,1056,1070,1073,1083,1093,1100,1112,1113,1125,1137,1141,1150,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,18,33,39,50,51,60,71,78,86,98,108,112,123,136,139,148,154,165,173,316,320,331,339,351,355,368,374,379,389,397,409,417,423,434,444,596,602,617,619,626,640,647,658,663,671,683,687,700,708,718,724,729,741,754,755,769,776,783,790,803,810,819,830,834,845,854,864,870,877,884,895,907,913,920,925,941,942,958,960,972,982,990,994,1007,1012,1020,1032,1038,1047,1061,1070,1077,1081,1095,1098,1108,1118,1125,1138,1145,1152,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,19,25,34,43,58,60,70,84,92,99,105,112,126,131,141,150,156,170,171,317,319,328,340,344,354,366,372,379,389,400,409,414,424,430,439,596,607,612,621,628,635,644,659,660,677,682,688,696,710,712,720,733,744,751,755,765,778,786,793,803,810,816,829,833,843,855,858,869,875,882,899,902,912,919,927,935,948,957,959,968,978,991,996,1008,1011,1021,1031,1044,1046,1059,1062,1075,1086,1088,1096,1110,1115,1126,1136,1139,1149,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,28,38,51,58,66,69,79,93,102,103,115,122,132,140,146,158,164,176,188,322,332,343,344,356,364,377,383,392,400,410,418,424,435,442,471,604,609,624,631,639,647,658,666,673,686,687,698,709,712,722,733,745,749,761,765,778,783,796,805,806,816,828,833,845,848,860,874,875,891,892,901,916,922,933,939,948,953,967,975,978,987,994,1008,1014,1020,1031,1044,1045,1054,1069,1077,1086,1089,1100,1113,1118,1126,1136,1146,1152,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,14,19,33,34,45,55,64,69,84,88,99,104,117,121,130,145,147,157,164,175,316,319,333,342,346,360,367,370,382,391,395,408,417,428,437,441,468,608,613,625,627,636,651,659,661,677,680,693,697,704,714,727,734,738,747,757,771,777,787,789,800,812,821,823,835,840,856,861,866,878,887,898,902,908,922,927,938,945,953,962,972,976,990,995,1006,1014,1026,1032,1037,1052,1057,1069,1078,1080,1091,1103,1109,1116,1126,1131,1140,1153,1159,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,33,34,43,59,67,71,80,93,101,105,117,121,131,143,149,160,166,176,317,324,333,340,345,357,365,375,378,393,402,411,412,425,430,445,597,603,612,620,629,636,646,656,664,676,679,692,701,708,718,724,730,739,746,761,767,774,787,793,797,811,816,823,833,843,850,858,870,875,885,898,903,909,923,927,939,944,954,960,971,978,986,995,1008,1012,1024,1031,1039,1051,1061,1062,1078,1085,1092,1103,1109,1119,1126,1134,1142,1152,1164,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,24,27,35,48,52,64,75,77,90,98,108,117,126,134,136,148,157,163,176,316,324,333,343,346,358,368,372,381,387,397,406,418,425,437,442,466,607,612,625,634,640,644,659,666,669,679,687,702,707,714,725,734,745,753,755,765,775,787,793,800,810,820,825,832,847,855,859,873,882,887,894,900,916,922,926,940,950,959,967,974,978,993,1001,1002,1016,1026,1030,1038,1052,1057,1069,1077,1079,1089,1099,1104,1115,1125,1137,1145,1151,1156,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,19,32,37,47,56,65,71,85,88,97,107,111,128,129,142,153,158,163,177,316,319,332,336,350,354,367,372,383,388,402,404,412,423,429,445,463,605,609,625,634,639,644,653,662,676,685,691,696,704,715,724,731,744,754,758,768,772,781,796,799,814,817,829,832,845,855,859,870,875,888,891,902,915,923,928,938,946,957,967,974,980,991,998,1005,1015,1022,1035,1042,1045,1055,1066,1078,1079,1096,1104,1107,1119,1129,1131,1146,1152,1158,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,29,36,47,52,67,71,80,88,102,106,112,127,130,137,153,155,165,177,316,320,329,335,350,352,368,377,378,394,397,404,420,423,430,440,460,602,611,626,631,636,648,653,664,675,682,690,700,709,715,723,732,738,751,756,770,772,787,794,805,807,816,829,831,842,855,863,865,877,890,892,905,911,922,930,936,944,954,960,975,981,986,994,1004,1017,1023,1030,1040,1051,1057,1064,1074,1086,1088,1098,1109,1119,1124,1136,1146,1152,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,31,38,46,54,63,74,79,88,98,102,112,122,133,142,152,161,163,178,314,322,332,338,346,354,364,371,378,391,395,404,414,425,431,442,599,607,612,621,626,637,652,653,665,669,678,687,700,703,720,723,733,739,751,759,764,771,788,792,801,814,815,829,831,844,851,863,871,881,885,895,908,909,917,931,941,946,959,962,969,983,991,993,1006,1012,1020,1034,1040,1052,1059,1062,1070,1087,1095,1104,1108,1120,1130,1138,1147,1155,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,23,25,35,48,58,66,68,77,90,100,105,111,120,134,142,149,162,170,177,313,321,331,343,348,352,362,376,378,389,395,411,416,424,431,446,598,602,615,622,631,635,652,660,661,670,680,691,695,709,717,721,734,737,754,759,768,776,781,790,800,809,817,828,838,841,848,863,870,882,889,897,900,911,921,932,940,948,958,959,969,985,989,995,1004,1019,1027,1028,1041,1048,1057,1062,1078,1086,1092,1099,1106,1119,1129,1132,1147,1152,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,32,37,49,54,64,71,84,89,100,102,118,124,131,139,146,156,166,171,313,319,329,343,345,358,362,376,380,393,398,405,415,421,429,445,457,604,612,622,631,637,648,658,667,674,681,689,697,711,712,726,734,739,750,759,765,774,786,796,798,812,817,830,839,844,855,857,867,881,890,892,908,913,925,926,936,950,953,967,972,979,989,1001,1009,1015,1024,1035,1037,1046,1058,1066,1075,1086,1093,1097,1111,1121,1129,1136,1145,1154,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,34,39,50,53,59,73,82,91,96,108,119,125,132,141,152,157,167,174,314,325,330,343,345,356,365,377,381,387,401,407,419,421,433,445,598,604,611,624,633,635,648,657,665,672,683,688,703,705,715,724,735,742,751,762,767,779,780,791,801,807,819,829,835,847,856,865,869,874,882,895,899,912,918,925,936,949,952,966,968,983,991,995,1009,1018,1021,1028,1042,1046,1057,1064,1072,1080,1090,1104,1107,1118,1125,1137,1145,1150,1163,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,21,28,38,50,52,67,71,83,86,95,102,118,124,133,144,151,159,170,177,315,321,329,339,345,356,362,375,380,394,402,404,413,426,432,441,450,605,615,620,634,642,644,658,663,677,680,688,702,704,715,722,731,744,753,758,767,771,781,790,797,807,817,828,831,846,855,860,866,880,886,893,901,914,921,933,939,949,956,961,975,980,991,994,1009,1017,1020,1029,1043,1046,1060,1065,1078,1084,1093,1099,1107,1120,1128,1137,1145,1154,1157,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,27,39,45,57,63,74,81,93,98,110,113,122,131,143,146,153,162,175,314,318,335,342,345,354,368,376,385,390,403,411,419,421,431,440,599,605,610,619,634,642,650,654,666,674,682,694,702,704,720,721,730,742,754,759,770,776,787,796,798,806,820,830,831,846,852,863,867,877,887,898,902,908,917,931,934,943,953,965,973,977,989,998,1003,1014,1024,1035,1038,1046,1055,1070,1076,1084,1090,1097,1112,1118,1126,1137,1139,1151,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,30,42,45,57,59,69,77,90,98,105,118,127,130,143,150,154,165,171,314,326,334,339,350,355,365,369,382,386,396,408,417,426,430,438,466,609,612,624,632,637,650,654,663,672,680,689,700,706,717,723,731,745,750,757,767,775,780,793,804,808,816,828,832,842,855,859,872,878,886,892,905,909,921,925,936,946,951,964,974,978,987,1000,1003,1015,1025,1033,1044,1052,1061,1067,1077,1082,1094,1102,1106,1115,1125,1136,1145,1152,1163,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,28,42,45,55,63,72,85,92,96,106,119,127,134,139,152,158,165,175,194,321,330,343,348,360,367,372,381,388,395,411,417,422,430,441,596,609,615,621,631,643,649,656,665,677,685,693,700,707,713,727,734,739,746,760,766,773,787,792,798,811,821,824,839,847,856,859,867,882,884,895,901,914,920,927,942,946,956,960,970,981,991,1001,1008,1011,1020,1033,1038,1050,1060,1064,1076,1086,1090,1103,1108,1116,1125,1132,1142,1151,1160,1169	1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,13,25,31,36,44,53,67,74,79,85,94,104,114,120,128,142,151,160,162,176,184,324,334,335,351,359,364,376,384,389,397,409,413,422,431,439,598,608,617,626,630,640,647,658,662,676,682,688,696,708,713,724,735,737,754,757,769,780,783,793,803,807,819,826,831,847,849,860,869,877,888,898,906,914,916,927,936,944,955,962,969,978,993,994,1002,1014,1022,1031,1043,1051,1059,1065,1075,1086,1089,1096,1106,1120,1126,1134,1146,1149,1157,1171,1174	1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,19,32,39,46,52,63,71,85,86,97,108,113,125,128,139,151,162,166,173,181,325,333,339,346,359,362,370,386,389,398,411,416,422,431,438,598,602,609,620,631,639,649,660,664,669,679,694,697,710,712,726,736,740,752,760,769,778,782,795,797,806,816,827,831,843,854,860,871,882,885,897,903,912,917,927,934,948,952,960,975,984,991,1001,1006,1014,1025,1032,1038,1053,1058,1066,1071,1079,1091,1100,1112,1118,1123,1135,1143,1155,1163,1166	1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,12,19,31,40,46,55,62,74,77,93,100,107,118,119,130,137,148,162,167,173,180,321,333,339,350,360,361,371,383,393,396,404,415,422,433,441,457,605,612,623,627,635,651,656,665,672,679,691,695,708,715,727,732,745,750,755,764,775,781,792,803,810,821,826,836,846,854,863,867,876,886,899,908,911,925,933,942,945,952,964,975,976,990,999,1009,1017,1024,1029,1040,1052,1059,1065,1075,1084,1091,1101,1111,1117,1128,1131,1139,1155,1159,1168,1178	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
6,13,18,29,37,42,51,62,75,77,88,101,109,114,123,134,136,153,158,167,178,188,323,328,339,350,359,364,373,385,391,402,410,413,424,431,440,599,608,616,624,627,639,648,654,666,672,680,687,701,710,715,723,732,742,751,756,763,779,781,795,801,813,821,825,832,844,855,865,872,878,885,893,900,909,923,931,937,950,952,962,968,984,986,994,1008,1012,1024,1033,1039,1049,1054,1067,1074,1085,1087,1096,1106,1121,1125,1137,1145,1148,1157,1164,1176	1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,16,20,32,35,47,57,65,76,82,91,95,105,119,122,131,139,146,158,165,175,182,323,331,339,350,359,361,372,380,387,395,409,416,428,436,444,597,605,612,618,629,636,652,657,661,670,683,693,696,705,716,724,730,745,748,755,763,772,786,795,805,806,817,829,833,845,854,864,870,876,884,897,907,910,917,925,936,950,955,963,976,985,989,995,1007,1015,1026,1028,1039,1049,1056,1063,1077,1081,1089,1101,1107,1119,1127,1135,1141,1152,1161,1172	1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0
7,10,18,28,41,48,55,61,71,85,86,94,108,111,128,135,139,146,160,163,175,188,318,334,337,345,360,362,373,382,391,403,408,418,426,433,445,461,608,611,624,633,638,644,656,668,670,683,691,700,704,713,722,732,742,746,755,770,777,781,795,799,814,819,830,837,846,850,858,866,881,889,891,905,915,918,928,941,946,954,961,972,985,988,995,1009,1015,1022,1034,1040,1050,1059,1069,1073,1085,1091,1101,1107,1113,1125,1134,1145,1148,1161,1171,1177	1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,11,23,30,38,43,52,63,75,83,90,95,104,119,122,133,139,153,159,165,175,186,319,333,342,348,358,367,377,386,394,403,407,412,421,432,443,450,601,613,624,629,641,646,659,663,677,679,691,701,706,715,724,736,745,752,755,766,774,782,789,797,805,819,826,839,847,856,858,866,874,885,898,903,914,917,930,939,942,954,962,975,981,988,996,1002,1018,1026,1034,1044,1051,1062,1067,1071,1080,1088,1097,1113,1114,1122,1137,1140,1150,1157,1167,1177	1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,22,27,39,45,53,62,69,79,85,95,103,115,124,136,141,146,154,163,174,317,322,334,338,349,357,364,373,380,391,402,406,415,426,435,438,448,602,611,625,633,640,650,657,664,676,678,688,696,710,714,727,734,739,746,762,771,774,781,789,804,812,820,823,832,843,851,859,866,875,887,899,904,914,916,931,937,949,953,967,970,977,986,998,1009,1017,1020,1031,1040,1047,1055,1067,1075,1085,1091,1102,1113,1115,1128,1134,1142,1150,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,29,40,43,53,66,69,81,92,100,110,115,122,131,139,145,155,162,171,186,326,334,337,350,354,369,375,379,390,397,407,415,424,431,438,599,601,611,624,631,637,651,653,662,671,677,692,699,706,713,720,734,743,747,757,767,777,784,791,797,809,819,823,831,848,856,858,865,874,884,896,901,911,924,933,940,944,957,959,969,979,990,997,1004,1019,1027,1030,1042,1050,1061,1063,1078,1080,1088,1097,1108,1121,1123,1138,1141,1154,1157,1171,1173	0,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,18,31,36,44,57,65,70,77,91,100,105,118,124,129,143,150,153,168,171,184,319,328,338,349,360,362,375,381,392,402,405,415,423,435,443,596,603,616,618,626,639,649,659,665,677,684,687,696,706,716,728,729,744,751,756,763,776,785,797,803,806,815,828,839,843,855,863,867,875,887,895,903,911,918,929,938,950,955,964,968,984,985,996,1003,1015,1025,1028,1039,1049,1062,1067,1071,1084,1095,1100,1112,1120,1127,1134,1145,1148,1164,1170,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,19,29,35,44,55,65,74,84,92,99,108,118,123,133,141,151,158,167,174,190,320,335,337,345,356,367,373,379,388,400,407,417,421,429,439,596,603,613,625,629,640,644,655,664,675,679,691,701,708,719,725,735,738,749,755,763,779,785,791,803,811,817,825,835,841,849,864,870,879,888,891,902,915,924,929,936,949,951,965,976,982,991,993,1008,1012,1025,1029,1036,1051,1058,1065,1077,1080,1089,1098,1112,1118,1127,1131,1139,1150,1160,1171	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,11,18,26,35,43,58,67,75,82,91,96,104,117,122,134,144,149,159,163,179,191,323,327,342,346,360,367,373,379,394,399,407,412,423,437,443,599,604,614,620,633,642,647,653,661,675,679,686,697,706,716,725,731,738,747,758,768,778,784,791,803,807,817,824,832,843,852,859,869,879,886,894,904,913,922,927,935,943,958,964,975,984,993,995,1005,1017,1024,1033,1040,1050,1054,1070,1071,1084,1090,1099,1106,1113,1122,1130,1146,1148,1163,1165,1176	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,10,21,30,35,50,58,63,73,84,92,98,108,118,121,133,141,152,158,165,176,184,326,327,338,345,358,367,373,382,387,397,410,413,424,435,444,599,605,613,619,629,643,651,655,668,673,682,694,697,703,719,727,735,743,751,758,765,777,787,791,805,811,819,830,836,841,849,861,873,878,889,897,907,916,920,933,938,948,953,964,975,984,988,996,1009,1014,1023,1031,1041,1048,1054,1069,1070,1080,1089,1099,1108,1117,1129,1132,1146,1155,1157,1172,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,14,17,28,41,46,58,65,71,80,91,95,104,118,125,128,136,150,154,165,174,182,321,328,341,347,360,368,369,379,391,397,411,418,422,432,446,596,603,613,618,627,637,645,655,668,671,684,694,702,707,716,725,729,742,753,759,770,778,784,790,800,813,822,824,832,842,852,858,869,882,883,896,907,916,923,932,937,945,954,963,976,980,989,1001,1002,1013,1024,1032,1037,1051,1055,1066,1073,1085,1092,1100,1108,1113,1125,1136,1146,1155,1163,1170,1173	1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,14,24,27,40,43,57,61,72,81,93,100,104,111,122,133,138,151,158,168,175,317,320,327,338,345,360,362,374,385,389,398,408,413,424,437,440,597,605,610,618,631,635,647,656,666,671,682,692,702,709,718,725,735,744,746,755,771,775,781,795,799,812,820,827,838,843,854,865,870,878,890,898,908,909,919,933,936,948,953,965,975,983,990,996,1002,1012,1022,1029,1041,1049,1060,1063,1074,1081,1094,1102,1109,1121,1130,1132,1142,1150,1156,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,32,38,45,53,60,74,80,91,100,103,114,125,128,143,152,155,167,170,317,319,329,337,349,353,369,372,384,389,397,403,420,426,432,440,598,606,617,622,632,642,644,652,662,669,685,687,696,706,715,727,732,745,746,758,765,771,787,789,800,809,819,827,832,845,854,864,870,879,890,895,901,908,920,933,936,950,952,966,975,979,987,997,1007,1011,1026,1035,1042,1049,1053,1068,1077,1083,1090,1096,1110,1116,1123,1131,1139,1153,1164,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,17,32,34,44,58,62,69,77,86,100,104,117,124,133,139,146,155,170,178,316,326,329,337,348,359,364,375,384,389,400,406,420,421,429,439,465,605,616,625,631,641,646,657,667,677,682,690,701,703,720,723,733,745,750,762,768,775,786,791,802,809,815,827,833,844,850,861,868,882,889,891,906,911,918,931,939,947,952,966,975,978,986,1000,1010,1018,1027,1035,1038,1046,1054,1070,1078,1079,1091,1098,1104,1119,1129,1136,1139,1153,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,21,30,38,43,54,63,69,77,85,97,105,111,121,128,136,149,157,167,178,317,318,333,339,349,357,361,371,383,389,395,411,415,424,431,445,598,601,610,625,629,642,650,660,669,674,682,686,699,706,718,726,732,742,746,762,770,775,787,789,800,812,816,828,839,847,848,864,865,878,885,898,905,913,925,928,938,950,954,965,975,977,986,999,1009,1016,1024,1036,1039,1046,1056,1062,1071,1081,1091,1098,1107,1113,1127,1130,1139,1152,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,34,36,48,52,62,74,80,87,99,109,118,121,130,139,149,161,167,171,315,318,332,342,350,354,361,375,382,390,403,408,416,426,437,440,596,605,614,619,630,639,644,658,664,675,683,692,701,705,720,722,734,745,754,760,769,779,781,795,803,806,818,824,836,843,857,859,872,882,884,897,903,916,918,926,940,945,957,966,975,982,986,996,1009,1017,1027,1033,1043,1045,1061,1066,1074,1079,1091,1099,1108,1117,1122,1136,1144,1149,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,22,33,40,44,58,66,68,79,89,96,108,113,126,133,142,151,159,170,173,315,323,332,343,348,359,362,372,384,394,396,404,414,424,434,442,598,604,612,618,631,635,651,657,664,673,685,692,695,706,713,727,731,739,753,757,770,772,784,796,805,814,820,823,836,847,854,857,869,876,885,897,902,916,922,927,935,943,953,961,968,980,985,1001,1005,1017,1022,1032,1037,1051,1054,1068,1071,1086,1091,1100,1105,1117,1122,1131,1145,1148,1157,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,33,34,44,53,60,70,84,90,94,104,118,120,134,140,145,157,164,177,315,325,328,340,348,355,368,371,378,394,397,410,415,427,431,444,600,605,611,619,633,639,651,658,666,674,682,688,700,706,713,724,732,743,753,760,770,777,785,790,800,810,819,823,834,846,852,858,867,874,890,893,906,914,920,927,935,949,956,962,973,981,991,993,1008,1011,1026,1028,1036,1050,1057,1068,1078,1086,1096,1104,1111,1121,1122,1131,1144,1151,1161,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,27,40,46,56,67,74,80,89,94,102,119,122,130,139,145,155,170,172,317,319,331,342,349,359,365,373,382,388,398,404,416,425,435,439,463,606,614,626,627,636,649,660,665,674,679,689,703,706,717,721,734,739,749,759,767,777,782,793,803,808,815,829,835,847,852,861,872,877,890,897,904,912,924,933,934,944,953,963,971,979,985,997,1006,1013,1022,1034,1044,1047,1061,1065,1072,1087,1091,1101,1105,1120,1125,1136,1142,1155,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,23,26,35,48,53,68,69,82,90,96,104,117,123,136,141,147,161,165,170,182,324,330,335,348,353,366,374,378,390,403,405,414,427,435,442,468,606,613,621,628,643,648,660,661,675,683,689,701,707,717,722,735,738,746,760,770,775,788,796,802,814,818,827,835,841,849,858,865,877,890,892,901,912,919,928,938,949,952,962,971,976,992,997,1008,1017,1020,1033,1044,1047,1058,1069,1070,1086,1092,1102,1112,1113,1126,1136,1146,1148,1158,1170	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,22,28,34,50,54,63,70,84,92,96,104,112,122,135,137,151,161,168,171,315,323,333,340,351,352,363,372,381,389,395,405,415,424,429,439,600,603,615,625,633,637,650,657,668,672,679,692,701,703,718,721,736,743,748,755,767,775,786,794,798,808,821,830,838,847,853,860,868,877,889,895,900,914,922,931,934,950,952,965,972,982,986,1000,1007,1010,1019,1028,1044,1050,1055,1065,1072,1082,1089,1100,1107,1115,1128,1134,1140,1152,1160,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,21,28,41,48,54,64,71,77,86,97,103,114,127,135,141,150,161,167,174,317,326,327,339,350,353,368,375,385,392,403,404,416,428,436,442,456,606,611,622,627,639,651,654,666,671,685,688,696,710,712,725,733,741,754,756,771,773,783,791,800,810,821,830,837,844,852,860,868,879,882,891,902,912,917,925,936,948,954,960,969,984,985,1000,1007,1015,1025,1028,1041,1049,1055,1064,1072,1083,1088,1097,1107,1114,1128,1135,1143,1151,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,30,39,43,53,66,69,83,91,102,105,112,123,130,143,150,161,169,174,315,320,331,336,344,360,369,375,385,392,400,406,418,428,432,441,449,609,614,625,631,638,644,656,661,671,681,692,703,708,712,722,736,745,750,760,764,777,785,790,804,808,820,829,834,843,856,859,866,878,884,899,902,910,925,927,935,947,953,960,970,982,987,1000,1010,1012,1023,1033,1037,1048,1059,1064,1077,1086,1095,1102,1105,1113,1122,1132,1142,1152,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,24,27,40,49,52,64,74,78,87,96,102,111,119,129,144,152,156,162,178,315,320,330,340,352,353,364,370,385,387,402,408,419,422,435,441,596,602,616,618,629,638,648,659,661,670,677,690,702,711,715,720,735,740,751,760,769,775,787,795,803,806,815,828,837,844,857,858,868,877,884,894,901,910,923,933,936,944,956,966,972,985,991,993,1003,1011,1023,1036,1040,1050,1054,1068,1073,1083,1089,1100,1109,1115,1122,1132,1140,1152,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,22,26,42,45,53,67,70,85,91,101,105,111,119,134,137,147,161,166,172,190,318,333,339,348,353,361,369,386,395,396,405,418,425,431,441,596,601,613,618,630,637,647,652,665,673,681,692,697,707,714,724,735,746,749,760,763,778,786,796,801,814,818,823,839,841,856,862,873,882,889,895,904,915,920,933,939,945,952,966,968,983,986,1002,1004,1017,1021,1033,1042,1053,1062,1070,1078,1084,1090,1100,1111,1115,1122,1131,1143,1152,1162,1165,1177	1,0,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,24,31,40,47,55,66,69,78,93,98,102,112,125,136,139,147,160,164,172,317,326,332,341,350,359,363,376,384,387,400,404,414,421,431,445,600,606,616,618,626,638,650,656,661,673,684,693,698,708,713,727,733,739,747,758,771,772,783,796,802,809,822,831,837,842,849,860,866,881,884,893,905,912,923,932,935,949,953,967,972,980,993,995,1006,1015,1023,1031,1038,1051,1058,1066,1078,1086,1095,1097,1111,1114,1128,1132,1140,1151,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,21,26,37,44,52,64,75,77,87,99,110,116,119,133,139,151,158,164,173,315,323,327,335,352,357,368,370,382,395,397,405,414,428,432,443,463,601,610,620,627,640,644,654,663,675,685,686,695,708,713,728,736,740,754,760,764,779,786,792,802,809,815,830,837,842,848,861,872,879,888,894,906,913,922,932,940,948,952,961,973,980,987,999,1003,1012,1025,1035,1043,1046,1060,1066,1074,1083,1089,1101,1113,1119,1127,1135,1139,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,22,25,39,42,53,66,69,82,89,101,106,113,121,130,145,148,155,167,172,317,322,332,336,345,360,367,374,379,389,401,406,417,426,434,444,596,607,614,619,633,639,651,657,665,672,680,691,701,707,712,728,734,741,752,761,768,776,782,797,802,812,819,830,839,840,856,858,869,876,888,891,901,913,922,930,938,950,954,966,974,978,989,996,1009,1019,1026,1033,1042,1053,1058,1062,1073,1085,1090,1097,1105,1114,1124,1134,1145,1151,1160,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,23,27,38,43,55,67,75,84,91,95,107,112,125,134,139,146,161,166,172,316,321,326,337,349,352,368,369,378,386,401,409,412,422,433,442,469,607,609,618,628,641,647,655,661,669,679,691,699,711,714,728,732,740,750,758,764,775,788,790,804,811,820,828,833,841,854,865,874,877,890,894,902,910,924,928,939,944,959,967,968,977,991,996,1004,1015,1025,1029,1040,1052,1059,1068,1079,1080,1095,1096,1107,1119,1123,1136,1144,1148,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,25,30,39,48,54,59,72,77,89,96,106,115,124,130,137,151,155,165,175,313,319,334,343,346,358,365,370,386,387,397,408,413,426,435,446,599,606,611,620,634,638,648,660,666,672,681,686,702,704,717,723,733,743,753,757,770,775,786,791,797,811,816,831,832,843,852,858,866,875,886,896,902,912,924,928,940,948,955,967,974,979,991,1000,1002,1019,1021,1028,1039,1053,1056,1070,1077,1082,1096,1102,1111,1119,1126,1138,1140,1150,1157,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,27,35,50,58,62,75,81,91,98,105,114,120,136,140,150,158,167,175,315,320,332,338,348,356,368,373,383,388,399,409,412,424,433,438,462,607,612,622,631,637,647,655,661,673,683,688,703,708,713,722,733,740,752,759,770,779,784,789,799,811,820,829,833,846,849,862,867,874,884,899,906,911,925,926,939,946,952,963,972,984,991,999,1003,1015,1025,1032,1036,1047,1055,1070,1078,1081,1088,1100,1107,1120,1122,1136,1139,1154,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,26,37,48,56,60,72,79,92,95,105,112,121,135,144,150,159,162,175,315,320,326,340,346,358,363,370,378,394,399,410,417,427,431,441,468,602,614,626,631,640,646,658,663,672,685,692,702,705,716,726,730,742,751,757,763,779,780,797,801,807,817,830,839,846,852,863,866,875,886,896,904,911,921,927,934,949,951,966,975,977,993,994,1009,1011,1023,1031,1037,1047,1053,1063,1071,1085,1088,1100,1109,1115,1127,1135,1146,1149,1157,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,19,33,41,47,57,64,76,82,86,95,106,113,127,132,144,153,158,162,171,315,321,327,337,351,358,365,377,382,387,399,407,420,422,431,443,599,604,610,624,634,640,652,660,662,672,677,691,700,705,719,728,731,740,746,756,764,777,780,789,804,808,815,824,839,845,852,862,867,880,890,898,902,911,922,925,941,943,951,960,968,981,989,998,1002,1018,1019,1031,1040,1045,1056,1067,1073,1086,1088,1104,1112,1120,1130,1134,1143,1150,1157,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,19,28,37,46,56,68,73,79,87,98,110,117,124,133,144,152,161,165,178,313,324,331,336,344,359,366,369,381,388,396,411,414,421,432,438,460,601,615,624,632,640,644,656,665,670,683,691,700,705,719,722,736,739,749,755,764,771,788,792,801,811,820,824,838,847,848,864,869,877,885,893,900,914,918,932,938,943,953,961,969,978,992,999,1009,1013,1025,1036,1042,1049,1058,1068,1077,1080,1089,1100,1107,1118,1126,1138,1145,1150,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,17,29,36,42,57,62,73,84,90,94,108,116,124,132,142,147,157,164,171,316,318,331,342,349,353,368,376,378,392,399,409,414,426,430,445,600,606,612,620,626,640,649,653,669,672,680,688,697,705,716,723,733,739,747,760,770,775,786,793,804,805,816,826,834,840,851,858,871,879,888,899,907,909,922,933,934,943,951,960,976,984,991,998,1006,1015,1019,1029,1043,1045,1061,1069,1078,1083,1088,1097,1112,1115,1129,1137,1141,1148,1163,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,28,39,45,55,67,75,84,93,102,106,116,121,129,143,148,154,162,171,317,325,329,340,348,357,366,369,380,393,395,409,415,429,431,439,454,604,610,624,632,638,647,652,662,674,683,690,700,703,714,726,730,740,750,760,766,775,784,790,799,812,822,826,833,847,854,861,866,879,888,894,905,910,921,932,936,948,954,965,974,977,990,1001,1007,1015,1026,1030,1042,1052,1056,1068,1076,1084,1093,1099,1105,1114,1128,1133,1143,1152,1159,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,28,41,50,58,61,71,83,89,98,108,119,125,133,138,150,154,168,171,318,320,331,343,352,359,363,373,384,390,400,411,418,424,433,439,596,606,613,624,629,639,648,660,665,670,685,686,700,706,718,722,736,738,746,762,768,776,786,794,797,807,816,825,834,847,850,864,869,879,887,894,906,915,920,925,934,946,951,966,974,984,985,1001,1003,1015,1022,1036,1038,1048,1055,1070,1076,1080,1088,1104,1110,1116,1122,1137,1142,1151,1161,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,32,36,43,57,59,69,84,88,98,106,114,122,128,142,145,161,166,176,184,325,331,341,347,359,361,375,383,393,402,404,417,422,437,442,466,604,609,623,629,641,648,659,663,673,683,689,698,704,714,722,735,738,750,757,766,780,786,788,801,810,814,831,836,845,850,859,867,875,890,895,902,913,924,928,939,947,951,965,975,980,989,994,1010,1018,1022,1035,1039,1051,1054,1068,1071,1083,1089,1096,1113,1114,1128,1136,1141,1148,1160,1167,1176	0,0,1,1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,10,22,29,40,46,55,66,69,82,91,97,108,111,121,135,144,151,154,167,175,192,319,328,343,351,353,368,372,378,391,399,407,412,426,432,443,600,607,613,621,631,642,648,652,667,673,685,686,699,704,714,721,735,742,751,763,770,775,788,789,797,813,819,826,838,843,854,863,870,878,886,895,903,913,920,926,938,947,953,962,974,979,988,996,1006,1014,1022,1035,1040,1047,1055,1068,1072,1085,1095,1098,1109,1117,1129,1131,1141,1154,1160,1167,1178	0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,20,27,35,49,55,65,70,77,89,95,104,114,125,130,142,153,159,167,175,318,320,335,336,348,358,364,374,378,393,403,410,415,425,434,443,596,603,617,624,632,638,645,657,665,672,681,692,699,706,711,727,733,742,753,758,767,774,784,790,805,812,819,823,838,848,854,860,870,876,890,897,899,912,923,933,940,946,953,964,974,984,986,998,1009,1015,1023,1032,1038,1047,1058,1068,1075,1087,1089,1098,1109,1117,1121,1133,1141,1151,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,9,25,32,42,47,56,67,72,79,89,100,102,116,120,132,142,153,160,163,176,184,326,331,340,347,354,366,375,384,391,403,404,419,426,432,446,460,603,610,620,634,642,650,654,662,675,683,692,696,706,718,726,733,741,754,762,766,775,785,790,797,810,820,826,832,847,850,864,866,880,886,899,903,909,918,929,935,942,953,960,975,978,985,995,1004,1017,1023,1031,1037,1053,1058,1063,1074,1087,1088,1098,1109,1118,1128,1134,1146,1154,1160,1169,1175	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,21,31,37,45,53,61,72,81,87,96,105,112,123,135,140,146,156,167,176,180,320,333,339,349,359,367,369,380,393,403,407,419,426,433,442,598,603,613,619,627,640,646,656,664,674,682,690,698,704,716,727,732,738,749,761,770,778,784,795,798,811,821,826,834,846,853,865,866,878,887,896,906,912,919,927,941,949,955,962,971,980,988,997,1005,1014,1021,1032,1044,1052,1057,1069,1078,1086,1091,1103,1105,1118,1129,1131,1140,1151,1156,1168,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,23,32,42,47,51,62,70,78,90,99,106,111,127,132,142,147,156,170,178,187,322,329,343,345,358,365,376,382,391,400,405,415,422,434,440,599,601,612,618,630,638,644,657,665,673,680,690,703,707,715,727,732,742,752,757,766,776,781,796,799,812,817,824,834,847,850,865,866,881,883,899,900,916,924,926,939,946,958,966,974,980,987,994,1002,1018,1027,1030,1040,1053,1057,1062,1075,1080,1087,1104,1112,1115,1126,1132,1139,1148,1158,1171,1175	1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,21,27,38,50,51,59,73,78,91,96,107,114,124,134,143,152,154,169,172,190,323,332,342,348,357,364,369,381,387,396,407,415,425,437,444,598,602,613,619,633,638,651,657,664,672,683,689,698,711,716,723,730,744,749,754,768,774,787,792,798,807,819,827,835,841,854,857,869,879,885,897,903,910,917,930,937,947,958,966,970,978,992,995,1002,1018,1025,1035,1038,1045,1060,1066,1076,1080,1094,1097,1105,1114,1124,1137,1145,1152,1158,1171	1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,11,18,30,39,48,55,62,75,77,91,98,110,117,122,130,136,147,161,166,171,186,318,327,337,348,359,363,370,385,391,402,410,412,428,433,440,463,602,610,621,630,638,644,658,665,672,683,688,699,706,719,728,736,745,753,754,769,778,781,793,804,812,817,825,834,843,853,858,867,878,883,896,907,913,923,925,940,949,957,965,974,984,993,1000,1002,1018,1019,1035,1038,1051,1059,1067,1078,1087,1096,1099,1109,1116,1123,1136,1146,1153,1157,1173	1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,12,25,30,36,47,55,61,75,78,93,99,104,116,123,135,142,145,158,165,173,317,323,329,340,351,354,368,374,381,392,397,408,412,424,430,444,597,601,615,624,631,643,646,653,662,670,678,691,702,711,713,727,734,744,752,761,764,778,787,796,804,813,820,824,835,846,854,865,869,875,883,894,900,914,917,932,934,943,954,964,968,979,988,994,1005,1013,1023,1029,1039,1052,1061,1063,1077,1082,1092,1100,1105,1114,1127,1135,1142,1153,1164,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,29,37,50,57,62,72,83,92,99,102,115,125,130,142,148,161,165,175,191,319,331,338,346,356,363,370,384,390,399,411,419,424,435,438,596,608,617,625,631,641,647,653,662,672,685,692,701,711,718,725,729,745,749,760,768,779,782,796,802,814,821,823,833,842,850,864,868,880,884,895,906,909,922,930,941,946,952,963,970,979,985,994,1007,1018,1024,1035,1040,1051,1057,1066,1075,1085,1089,1098,1112,1113,1127,1131,1145,1149,1156,1172,1176	0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
1,11,24,29,40,49,53,64,76,78,90,99,106,116,124,128,137,150,158,168,175,197,323,329,336,350,359,364,372,385,388,400,407,418,429,432,441,600,603,610,619,634,637,648,659,662,672,685,691,703,710,717,722,731,744,750,758,766,776,781,790,797,810,818,824,838,842,849,857,870,879,885,898,899,915,918,927,937,943,958,961,968,981,986,994,1007,1015,1027,1034,1044,1053,1058,1064,1077,1083,1089,1104,1107,1120,1123,1134,1142,1151,1158,1167,1173	0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,17,33,34,45,53,60,71,83,85,98,103,114,126,134,137,146,156,166,176,185,324,335,338,349,355,363,377,382,395,397,411,414,425,436,438,456,603,610,620,626,636,648,654,664,671,680,690,694,705,713,722,736,741,754,756,767,778,788,794,797,809,816,825,835,845,854,863,874,881,883,892,906,911,923,931,937,948,954,962,973,982,987,1002,1006,1018,1026,1032,1037,1052,1055,1068,1077,1083,1096,1101,1113,1114,1123,1135,1144,1150,1157,1170,1177	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,13,24,28,36,42,55,67,75,82,93,95,107,119,122,132,143,146,155,166,176,184,319,328,341,345,356,361,372,381,389,403,411,413,425,436,443,600,603,610,620,629,640,643,659,661,671,678,689,695,707,718,721,735,738,749,755,771,775,783,794,800,807,820,826,836,845,855,862,867,877,886,898,905,909,919,927,941,950,953,964,971,979,992,998,1008,1014,1020,1029,1042,1048,1060,1066,1077,1082,1095,1097,1108,1114,1124,1137,1145,1151,1157,1167,1175	1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,18,33,35,50,56,67,75,81,87,95,105,117,126,131,137,146,158,165,172,180,325,334,341,346,358,364,370,386,389,402,406,417,422,436,441,465,607,616,618,633,642,644,652,667,673,681,694,701,707,715,728,737,740,751,762,766,774,780,794,798,813,822,829,838,847,853,858,871,877,884,899,904,915,924,930,939,949,956,967,975,978,989,994,1007,1014,1026,1031,1038,1048,1058,1066,1077,1086,1094,1103,1106,1121,1126,1131,1140,1153,1162,1168,1177	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
7,13,25,34,39,44,55,60,70,77,88,96,102,116,120,129,137,150,158,162,177,185,321,331,336,351,359,367,375,386,389,396,408,413,428,435,437,599,606,610,625,632,643,646,653,661,674,680,693,697,708,716,723,731,742,746,758,763,775,785,790,800,814,821,824,833,843,855,857,874,880,887,899,905,915,921,932,934,949,953,960,969,981,985,998,1007,1015,1026,1032,1042,1053,1057,1069,1071,1079,1091,1100,1110,1121,1125,1132,1145,1154,1156,1169,1176	1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,20,28,38,50,55,66,70,80,86,101,107,113,121,128,140,151,159,166,176,316,326,330,343,346,357,366,375,380,394,399,407,418,427,434,442,597,604,614,620,633,642,645,658,667,669,679,688,695,705,716,725,730,740,748,757,763,774,781,794,799,810,814,827,835,844,851,861,871,882,884,893,905,912,921,933,935,949,955,965,968,980,993,998,1006,1013,1022,1029,1041,1053,1054,1063,1070,1084,1092,1100,1106,1113,1122,1138,1140,1155,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,25,42,46,56,61,69,82,90,96,106,111,124,136,142,151,156,164,176,314,322,328,341,351,354,367,372,378,393,398,405,419,425,436,439,596,603,616,622,628,640,644,653,660,677,685,690,696,709,714,725,733,743,748,758,763,776,782,791,800,806,821,829,833,841,856,857,870,876,888,895,905,916,919,933,937,945,956,966,972,983,988,994,1005,1013,1027,1030,1040,1050,1060,1065,1071,1087,1090,1099,1108,1120,1122,1132,1141,1149,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,28,38,50,58,66,72,78,91,96,110,111,126,132,139,153,157,166,172,315,318,330,336,351,359,362,370,381,394,395,411,420,423,435,440,460,601,611,625,629,638,649,657,667,669,684,687,699,709,712,726,735,745,751,756,766,779,782,791,800,807,820,823,833,846,854,861,869,880,884,896,904,915,919,926,938,946,953,963,972,979,988,995,1004,1013,1023,1028,1041,1045,1059,1069,1074,1083,1088,1098,1112,1118,1127,1132,1144,1153,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,21,31,39,45,55,63,75,80,91,97,106,112,121,128,140,152,158,166,177,316,318,331,338,346,357,361,372,381,392,402,411,417,421,437,446,596,603,615,618,632,638,649,656,668,677,681,694,695,705,718,721,729,737,752,755,771,777,781,789,804,813,821,829,831,846,857,862,870,877,885,892,903,913,922,927,936,947,953,964,976,979,993,996,1003,1011,1022,1031,1041,1051,1061,1064,1072,1082,1087,1103,1112,1120,1128,1138,1143,1155,1158,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,32,38,48,58,67,75,84,88,101,104,111,123,132,139,150,160,169,178,313,321,328,337,346,357,363,374,384,392,403,404,418,426,436,440,600,602,617,625,631,637,645,657,667,674,683,687,695,705,719,726,736,745,752,758,764,780,782,792,802,809,814,823,838,843,854,859,868,874,883,895,907,915,921,927,936,948,954,966,973,984,988,998,1009,1011,1026,1032,1038,1051,1061,1062,1072,1082,1095,1098,1108,1113,1127,1133,1140,1153,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,28,35,49,54,61,76,84,89,97,104,117,126,129,143,146,158,166,177,314,320,333,339,345,354,362,376,381,393,403,410,420,421,429,439,460,608,610,623,627,639,649,659,662,672,684,692,699,705,719,726,731,740,748,758,763,777,780,792,800,813,821,828,836,841,855,863,869,875,890,898,902,913,918,932,941,943,957,962,972,980,992,995,1002,1016,1026,1036,1043,1047,1055,1063,1076,1085,1092,1096,1105,1118,1128,1138,1141,1149,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,23,27,38,46,58,62,70,77,85,96,106,114,127,134,142,145,157,164,174,313,323,332,335,348,358,365,370,378,387,402,409,414,421,437,442,598,604,609,622,633,639,650,657,664,676,682,691,696,705,712,728,736,742,752,754,769,776,787,791,802,810,820,830,833,846,849,864,867,875,889,894,907,914,920,927,941,944,956,968,969,977,988,999,1008,1015,1023,1033,1044,1051,1058,1064,1074,1082,1093,1104,1111,1115,1125,1138,1143,1155,1161,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,24,28,39,50,59,60,68,82,88,98,105,116,123,133,142,150,158,167,173,316,318,329,340,347,352,361,376,381,392,397,407,416,426,436,438,599,605,617,622,628,639,644,658,664,677,682,692,696,711,715,724,730,740,747,759,764,772,787,790,802,810,818,824,835,845,856,858,868,878,887,895,906,911,917,932,937,948,951,964,970,978,986,1001,1003,1018,1027,1030,1041,1051,1055,1070,1078,1080,1090,1103,1106,1113,1130,1137,1139,1147,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,24,33,35,43,56,64,70,78,88,96,105,115,120,128,142,151,153,168,172,183,320,331,337,349,356,365,375,383,394,399,409,418,421,433,441,469,608,611,622,631,635,643,657,666,669,682,687,697,708,712,724,732,745,753,758,763,778,788,789,798,808,820,827,838,845,850,864,866,876,884,895,907,912,918,928,937,944,952,961,970,982,989,999,1007,1016,1027,1029,1038,1050,1054,1069,1075,1079,1088,1099,1111,1117,1128,1133,1146,1154,1159,1170	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,24,30,38,50,55,66,71,85,89,96,108,112,122,131,139,150,156,166,172,314,319,331,342,347,355,362,376,381,393,398,410,417,428,436,438,600,606,612,625,626,637,649,653,667,670,683,693,697,709,712,727,737,740,752,761,767,774,783,789,799,807,819,830,834,841,855,857,869,875,890,897,907,915,919,927,941,945,956,959,969,982,987,998,1010,1012,1021,1031,1042,1050,1056,1066,1074,1087,1093,1099,1106,1115,1122,1135,1145,1151,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,21,29,34,43,54,65,68,83,88,94,105,114,124,130,138,148,157,164,177,315,322,332,339,350,357,366,370,383,389,400,411,415,428,434,444,598,606,617,621,633,639,647,660,667,669,678,689,695,703,713,722,735,737,750,754,769,774,786,794,802,806,822,823,836,846,853,863,872,879,883,898,905,908,917,926,941,943,955,967,970,978,993,999,1009,1010,1025,1028,1040,1047,1061,1066,1073,1083,1092,1101,1113,1118,1125,1138,1146,1152,1156,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,27,39,45,59,64,71,82,92,94,107,115,124,129,140,150,160,166,174,315,326,332,335,352,355,367,373,383,394,400,405,419,423,431,438,471,603,613,620,633,636,647,658,666,674,679,691,697,705,714,725,729,738,747,759,766,777,782,790,804,813,816,829,833,847,850,862,873,875,884,897,904,912,924,933,937,950,953,964,974,983,992,995,1003,1015,1023,1029,1039,1048,1061,1070,1077,1082,1096,1100,1108,1115,1127,1134,1145,1153,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,23,27,35,47,55,59,76,79,92,94,106,115,120,134,141,146,160,165,172,318,323,330,335,351,352,362,375,383,387,397,404,419,422,435,441,449,601,617,626,628,642,643,652,663,673,680,689,702,705,719,724,730,745,747,756,767,773,783,792,800,807,814,830,832,847,853,861,869,876,888,895,902,916,923,930,934,949,959,963,976,978,991,1001,1003,1014,1025,1034,1041,1049,1059,1064,1070,1083,1095,1100,1108,1114,1122,1134,1146,1154,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,30,36,46,53,64,71,84,85,98,105,118,125,136,143,147,153,162,178,185,318,333,335,349,352,367,370,386,391,397,407,414,424,434,441,597,603,610,619,627,642,648,660,666,670,678,694,700,709,715,724,733,742,746,757,771,780,784,794,802,806,819,826,837,843,855,859,870,876,889,895,904,913,924,927,937,944,956,962,970,979,988,1002,1005,1018,1026,1033,1040,1049,1061,1063,1074,1081,1093,1096,1107,1115,1128,1134,1139,1155,1157,1165,1174	0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,15,21,33,38,49,59,62,72,82,86,99,105,116,122,132,144,147,157,164,177,315,322,334,339,351,360,364,375,386,389,401,406,419,425,436,446,471,608,611,625,633,641,644,659,662,671,680,688,700,707,713,721,736,744,746,759,766,778,786,791,805,812,821,830,834,843,853,863,872,879,887,891,902,913,922,929,937,945,952,963,971,979,987,1000,1008,1016,1019,1035,1038,1050,1060,1062,1071,1084,1095,1098,1112,1118,1125,1130,1140,1154,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,18,32,40,47,57,61,71,83,89,101,110,116,124,134,138,145,159,169,178,313,325,334,341,346,354,364,372,385,393,399,406,415,426,431,442,597,608,614,619,627,641,647,657,666,677,679,686,700,709,712,721,730,739,749,757,767,776,782,794,804,810,814,827,837,843,851,861,866,881,886,895,905,910,917,926,940,946,952,963,968,977,991,997,1006,1014,1020,1030,1037,1046,1060,1062,1075,1080,1093,1102,1111,1117,1127,1131,1141,1148,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,17,28,38,48,56,65,74,77,91,98,110,114,122,129,137,150,161,170,175,315,321,333,339,351,359,366,375,384,387,396,407,417,422,433,438,599,604,617,623,633,638,649,657,664,675,679,694,700,709,719,721,734,738,752,759,766,772,784,797,799,811,814,823,837,843,852,860,872,880,888,893,900,916,924,933,935,949,956,966,973,981,990,1000,1002,1017,1020,1036,1042,1053,1057,1069,1071,1082,1094,1100,1109,1113,1129,1136,1142,1153,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,31,42,44,56,66,72,83,86,96,110,113,126,129,143,149,161,170,171,316,320,329,335,346,356,365,372,379,387,399,406,417,428,436,440,456,602,610,618,634,637,648,659,662,674,682,693,702,705,719,720,729,740,752,756,771,776,781,793,802,807,814,824,833,840,848,864,865,881,891,895,906,912,922,929,934,947,958,965,975,982,985,997,1003,1014,1020,1035,1037,1051,1058,1064,1071,1081,1090,1103,1109,1121,1125,1136,1141,1153,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,22,30,42,45,57,62,76,84,88,101,106,115,124,129,144,149,157,163,176,318,323,330,337,349,354,361,370,380,392,400,407,412,423,437,439,466,602,615,622,631,638,650,653,661,677,678,693,698,706,715,727,733,745,752,760,763,780,786,790,801,813,818,830,835,844,850,865,872,877,882,898,903,914,924,926,941,943,953,959,971,977,991,996,1004,1016,1022,1029,1037,1045,1062,1065,1077,1080,1092,1100,1113,1115,1125,1133,1143,1154,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,26,36,44,58,61,76,84,93,100,106,114,126,132,137,149,160,163,170,315,318,333,337,345,357,366,370,383,394,401,407,417,425,430,444,452,601,612,624,632,638,644,657,666,675,683,690,701,703,712,720,729,740,751,759,769,771,788,792,801,808,821,827,839,844,854,858,869,875,884,896,901,913,923,933,938,946,956,960,968,977,989,1002,1004,1012,1026,1028,1040,1047,1058,1064,1074,1084,1090,1104,1110,1114,1127,1132,1139,1150,1160,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,26,42,50,57,61,72,81,90,100,106,112,125,128,139,148,155,167,179,315,324,328,337,352,353,361,371,379,393,395,411,419,427,431,437,450,606,617,621,626,640,648,659,664,673,683,688,697,707,718,728,735,743,749,759,768,777,780,789,800,810,816,824,839,843,849,861,871,881,883,893,904,911,923,928,934,948,953,959,973,978,986,995,1006,1012,1019,1028,1043,1050,1057,1069,1074,1086,1092,1096,1112,1120,1122,1137,1143,1155,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,29,41,44,51,62,75,81,87,99,104,113,127,128,137,150,160,167,176,317,319,328,339,347,352,364,375,380,393,398,411,417,427,434,443,596,606,614,624,627,639,645,660,668,677,681,690,702,711,719,727,734,738,752,758,764,772,786,796,800,809,817,824,831,840,848,859,872,882,884,894,900,913,918,931,939,947,957,966,972,982,992,999,1010,1012,1023,1033,1038,1053,1060,1070,1071,1085,1087,1097,1107,1116,1127,1132,1143,1151,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,17,29,38,45,51,63,74,79,89,100,105,113,120,132,137,148,155,166,170,315,320,330,337,344,357,369,374,385,387,402,409,413,421,431,441,597,601,611,623,627,636,647,655,666,672,679,694,699,708,714,726,736,742,748,755,770,776,782,796,804,813,819,830,832,841,849,858,870,878,884,892,901,910,920,930,942,943,957,967,976,977,992,998,1005,1012,1021,1028,1039,1045,1058,1065,1075,1081,1095,1102,1109,1115,1126,1138,1145,1148,1159,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,26,36,49,55,64,75,85,90,100,105,111,122,135,140,146,158,169,178,315,322,331,337,349,355,363,371,380,395,398,409,417,421,433,444,599,601,615,621,632,641,646,654,663,672,680,687,702,708,712,726,730,738,750,757,764,779,782,794,799,808,817,828,833,843,853,860,873,878,888,892,901,911,922,932,936,947,957,959,975,985,993,994,1009,1019,1025,1028,1041,1050,1060,1063,1075,1085,1090,1102,1112,1116,1121,1136,1140,1152,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,19,32,37,44,53,63,75,83,86,101,110,117,126,130,140,149,162,163,176,315,318,327,337,352,360,365,371,385,387,397,411,419,422,431,444,600,608,613,623,630,637,649,658,664,675,679,692,696,706,716,721,730,743,748,756,770,780,781,789,799,813,821,831,838,848,855,857,867,877,885,896,900,913,916,931,935,948,951,966,968,981,986,1001,1008,1012,1021,1032,1037,1053,1056,1070,1078,1083,1089,1103,1112,1119,1129,1138,1145,1150,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,20,31,42,47,52,64,74,83,88,101,103,114,125,135,138,151,158,167,174,315,321,331,338,344,357,366,377,381,387,401,408,416,422,431,438,598,601,615,618,634,637,645,659,662,671,681,687,699,706,712,724,734,738,753,762,769,773,781,791,805,812,814,822,832,848,852,864,866,880,886,893,903,910,918,927,942,947,956,961,971,980,990,994,1008,1012,1025,1031,1044,1045,1057,1068,1071,1083,1089,1102,1112,1116,1124,1138,1142,1153,1156,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,25,32,41,45,52,60,73,83,86,102,107,116,119,129,144,146,159,167,173,314,324,330,335,346,355,364,374,384,395,400,404,418,428,434,444,452,605,616,623,631,640,649,660,667,677,682,690,700,705,717,721,737,744,748,755,763,776,787,789,800,809,819,825,836,844,855,863,870,882,889,896,903,911,917,927,940,945,957,963,972,983,987,993,1006,1019,1022,1031,1038,1045,1055,1064,1072,1080,1089,1104,1110,1118,1122,1133,1143,1148,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,13,19,27,39,46,58,65,70,77,91,99,106,117,122,133,138,149,155,164,175,181,319,329,336,346,356,364,372,380,387,400,405,416,426,435,438,599,605,610,624,633,637,650,657,668,674,683,693,703,706,714,726,731,740,746,762,767,774,787,797,805,811,814,823,836,840,854,858,868,877,887,897,902,911,925,933,936,948,955,961,970,980,993,995,1005,1019,1021,1028,1036,1052,1058,1066,1076,1086,1094,1101,1105,1118,1122,1134,1143,1153,1161,1169	1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
6,12,21,27,38,47,52,65,74,81,93,100,107,115,120,130,139,147,155,162,171,180,319,331,335,347,353,368,370,379,392,403,406,413,426,430,439,447,605,615,618,630,636,647,657,666,673,686,690,695,705,712,722,731,741,749,761,765,777,782,791,803,812,817,827,836,848,856,863,869,875,888,897,901,909,922,932,940,946,956,967,976,984,992,1000,1004,1012,1021,1029,1036,1046,1056,1070,1077,1081,1095,1098,1107,1115,1130,1133,1142,1152,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,14,17,32,39,43,58,61,70,84,91,102,106,117,127,136,140,147,161,167,178,180,325,329,339,349,356,365,371,386,388,397,410,418,424,429,440,598,604,609,624,632,636,647,660,662,676,685,690,697,707,716,725,730,745,750,759,764,777,788,793,798,808,820,830,838,844,855,863,868,877,883,894,906,913,918,925,936,950,954,959,973,981,990,997,1007,1018,1022,1027,1041,1050,1061,1066,1077,1087,1095,1097,1112,1119,1127,1131,1144,1153,1163,1173,1177	0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
8,12,21,31,42,45,54,68,72,77,86,99,102,116,126,129,141,146,161,169,173,188,320,334,343,346,359,363,372,384,393,403,408,418,425,436,443,449,607,612,618,626,635,644,652,665,676,683,693,699,705,717,726,733,743,748,756,768,777,781,796,799,811,818,824,839,843,851,862,874,880,886,899,901,911,919,927,934,950,957,962,968,979,990,994,1005,1014,1021,1031,1039,1049,1059,1063,1073,1080,1093,1097,1105,1121,1129,1131,1146,1152,1159,1169,1177	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,13,20,29,40,45,53,60,75,83,89,94,105,116,122,132,140,146,158,165,175,181,324,333,335,347,355,361,370,380,390,398,407,420,426,432,439,467,602,609,618,634,636,651,657,661,677,683,688,698,707,717,727,730,744,747,756,767,773,785,794,803,811,817,828,839,847,854,857,872,874,887,894,908,912,918,925,937,950,958,961,972,985,993,996,1008,1011,1021,1030,1039,1047,1057,1067,1078,1080,1096,1099,1111,1119,1127,1130,1143,1148,1164,1167,1175	0,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,24,29,37,43,52,64,71,82,86,95,104,111,122,129,141,152,155,170,172,184,320,332,338,349,358,362,370,378,395,400,408,418,427,433,444,461,608,616,623,630,636,643,659,664,669,678,691,697,709,719,724,731,738,749,759,768,776,788,791,799,807,819,829,839,846,850,857,868,877,890,894,907,913,923,927,935,946,953,959,975,983,989,996,1007,1012,1024,1035,1039,1045,1056,1063,1076,1084,1088,1097,1112,1118,1124,1138,1144,1154,1163,1171,1177	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,11,20,27,35,43,58,63,74,82,92,97,108,114,127,133,137,153,158,168,175,187,318,327,343,351,360,365,373,383,394,400,407,419,426,430,444,457,604,611,623,626,642,644,653,664,674,681,686,698,708,715,720,731,743,752,758,765,774,786,794,803,809,815,826,831,843,850,858,867,879,889,898,904,912,920,926,938,943,953,962,975,981,986,996,1004,1017,1025,1033,1040,1048,1056,1062,1071,1081,1095,1099,1111,1120,1122,1135,1143,1150,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
3,10,21,30,36,50,59,64,70,82,87,93,110,111,123,135,141,151,157,162,172,315,319,333,342,350,358,365,370,384,389,401,405,415,421,430,438,598,605,614,621,627,637,650,655,668,675,679,686,702,705,715,728,729,742,749,761,768,779,780,796,803,812,815,825,836,845,856,858,865,875,884,896,907,915,923,926,938,947,955,965,974,978,992,996,1003,1014,1020,1035,1039,1050,1055,1065,1077,1087,1093,1098,1109,1115,1122,1131,1145,1154,1159,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,28,35,51,56,66,68,81,90,98,104,116,124,131,138,146,161,167,178,317,321,326,337,345,359,361,369,378,388,396,409,420,422,431,442,466,602,617,624,633,637,643,659,664,670,683,689,701,708,718,727,730,740,746,755,765,780,787,794,804,809,816,824,833,841,851,864,872,876,885,892,905,914,920,929,938,942,956,963,968,977,987,995,1009,1018,1025,1031,1041,1053,1055,1067,1076,1080,1090,1098,1104,1120,1122,1137,1140,1147,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,16,23,30,41,44,57,64,76,85,91,102,105,113,120,130,141,146,158,168,175,180,323,334,343,344,353,365,374,386,390,396,407,417,426,433,440,452,603,609,620,632,642,651,653,669,677,680,689,703,704,712,723,729,740,752,758,764,777,785,790,803,809,815,825,833,841,855,858,873,879,889,897,900,910,923,927,936,942,954,966,972,977,985,1001,1004,1014,1020,1033,1043,1045,1057,1070,1076,1084,1094,1103,1105,1116,1128,1132,1146,1153,1163,1172,1173	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,10,22,26,39,47,53,65,76,84,86,94,109,118,123,134,139,153,155,170,172,187,325,334,337,348,354,365,378,384,392,399,412,413,422,431,444,598,608,614,622,632,639,651,657,665,673,679,691,700,707,718,724,732,738,751,757,770,772,785,790,797,811,817,825,839,842,850,857,873,877,888,895,904,913,919,928,937,943,956,963,969,981,990,998,1008,1018,1023,1030,1038,1048,1056,1068,1072,1081,1089,1099,1110,1113,1129,1132,1141,1154,1163,1171	0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,10,24,31,40,46,58,65,68,77,86,96,110,115,120,136,140,150,155,167,176,195,318,332,342,350,356,362,374,381,393,400,403,420,425,431,439,597,608,612,625,627,635,646,659,667,673,680,693,703,711,714,726,735,743,746,759,763,775,786,794,801,807,820,829,835,848,853,862,869,882,887,895,906,915,918,931,941,944,954,966,972,981,986,995,1004,1014,1022,1030,1041,1052,1055,1070,1076,1085,1095,1096,1110,1115,1127,1138,1141,1152,1161,1166,1175	1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,21,30,40,43,54,59,76,81,91,102,103,113,125,132,140,149,153,163,174,183,319,333,337,345,357,364,377,386,389,397,411,415,425,437,438,453,606,617,622,629,641,647,653,663,673,680,689,701,710,719,728,737,743,749,761,770,777,787,790,805,811,821,823,837,846,849,864,871,878,886,897,902,909,919,925,937,944,957,961,971,983,991,1001,1006,1016,1020,1030,1039,1046,1054,1062,1076,1083,1088,1097,1105,1121,1128,1133,1141,1149,1160,1167,1178	0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,12,17,30,40,50,53,65,68,80,90,100,102,116,121,132,137,149,155,163,174,181,326,333,343,349,356,369,372,382,393,403,408,412,426,434,439,596,608,611,620,633,639,646,654,665,674,682,694,698,707,714,721,733,737,751,758,768,778,786,793,799,809,815,830,837,846,851,860,872,875,887,892,907,913,922,931,936,948,957,963,968,979,993,997,1009,1018,1024,1034,1038,1045,1056,1067,1071,1083,1096,1100,1110,1120,1123,1130,1144,1154,1161,1166,1177	1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,21,26,38,47,53,66,69,84,93,97,109,114,124,129,141,145,160,168,173,314,323,330,341,351,353,361,370,380,389,395,406,412,428,429,444,471,600,611,618,632,641,648,658,666,672,683,692,695,704,714,727,737,741,748,755,764,778,781,790,800,811,815,825,832,848,852,860,871,877,888,893,904,909,920,928,936,947,958,966,968,983,988,995,1007,1018,1022,1030,1042,1049,1053,1069,1076,1085,1088,1099,1112,1113,1127,1138,1143,1155,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,25,26,36,43,51,65,69,84,89,96,106,113,124,135,143,153,158,168,171,314,326,328,336,348,358,366,376,378,388,402,408,414,424,432,439,599,607,609,625,628,641,647,660,668,670,681,692,696,703,720,727,731,741,747,761,767,773,784,793,800,811,822,827,832,843,855,857,867,877,889,895,904,909,921,927,938,943,951,959,970,981,988,996,1003,1015,1026,1034,1044,1047,1054,1063,1073,1083,1089,1097,1108,1117,1123,1131,1141,1151,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,18,32,34,47,51,66,74,79,91,101,106,114,125,131,139,146,157,169,176,314,320,331,338,344,354,363,370,378,395,400,409,420,427,435,444,599,602,613,620,628,641,650,654,668,671,677,692,696,711,717,725,735,738,754,758,769,772,785,794,801,813,822,823,832,843,854,857,869,876,887,894,907,909,922,929,937,944,952,961,976,980,988,997,1002,1017,1024,1030,1039,1047,1057,1070,1071,1084,1094,1101,1111,1117,1122,1134,1139,1153,1160,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,26,40,48,51,61,71,81,88,97,107,115,121,129,140,147,161,164,175,317,326,330,337,346,353,363,369,379,391,403,411,418,424,429,445,597,604,615,620,633,640,646,653,661,673,685,688,697,705,717,728,733,741,751,761,765,778,787,789,797,808,818,823,831,842,853,858,868,880,885,894,905,913,918,930,936,950,955,960,973,979,987,997,1006,1012,1027,1029,1040,1046,1057,1066,1073,1087,1091,1101,1105,1121,1122,1138,1140,1152,1159,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,17,27,40,49,59,61,70,77,86,94,104,117,126,128,137,148,158,165,178,315,320,333,339,345,358,369,376,382,393,399,404,412,424,433,438,599,605,615,626,628,635,644,654,664,673,681,687,701,706,716,723,729,740,753,762,765,773,784,792,800,810,819,830,834,840,852,857,873,882,891,896,907,914,918,925,939,943,957,960,971,979,987,999,1005,1012,1022,1031,1040,1046,1060,1066,1075,1081,1095,1100,1105,1120,1125,1138,1142,1152,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,21,32,34,51,54,61,72,85,86,97,105,114,127,136,138,152,160,168,175,315,325,327,337,343,356,362,371,384,387,398,404,412,425,431,444,597,602,612,621,630,643,646,655,662,677,686,688,697,704,712,722,734,742,746,761,766,772,784,792,797,806,816,824,837,841,853,862,868,881,883,892,904,913,917,931,937,947,954,966,976,977,992,1000,1006,1017,1023,1029,1040,1047,1054,1064,1070,1085,1095,1098,1110,1117,1128,1133,1144,1150,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,21,30,42,48,55,64,75,81,86,98,103,113,125,132,138,153,157,165,174,314,320,327,342,348,360,367,369,379,394,403,410,412,423,435,439,448,608,610,618,632,641,651,653,665,672,678,686,700,711,713,728,730,738,746,758,763,775,788,791,801,806,822,823,834,843,855,863,873,882,885,891,906,911,917,930,941,944,953,959,973,983,993,1000,1005,1013,1023,1036,1042,1053,1060,1068,1076,1079,1090,1096,1108,1118,1129,1132,1144,1150,1159,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,17,27,40,42,58,61,74,78,91,94,108,113,121,130,143,153,161,162,176,315,320,327,340,343,360,368,377,385,392,396,405,414,426,437,442,599,602,612,619,628,638,644,660,666,669,679,687,700,704,712,722,732,743,751,761,765,774,788,795,799,810,815,824,834,844,852,860,867,875,882,897,899,914,920,933,939,950,958,963,976,980,988,1000,1005,1017,1019,1035,1038,1050,1059,1062,1074,1083,1093,1097,1110,1114,1125,1133,1142,1153,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,33,38,47,52,59,72,77,86,101,105,113,126,130,140,148,154,165,171,181,323,327,343,348,355,366,370,383,388,396,403,413,427,434,443,598,601,614,621,629,638,649,660,664,675,679,690,695,704,717,727,731,740,751,756,766,772,783,790,804,810,814,824,835,847,856,863,873,881,883,892,903,909,919,930,939,943,951,964,974,979,991,998,1007,1019,1026,1029,1040,1053,1061,1068,1072,1084,1094,1102,1105,1119,1125,1135,1142,1148,1163,1166,1173	0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1
0,15,19,27,37,50,57,60,75,79,86,94,103,118,126,131,142,152,160,164,174,316,320,328,342,344,356,369,370,384,392,395,409,413,425,432,445,598,602,614,619,631,638,648,658,666,674,682,691,699,708,720,726,731,744,751,758,768,773,788,790,804,810,816,826,836,842,855,857,870,875,887,898,901,909,923,930,934,950,951,965,968,982,988,999,1006,1017,1021,1032,1044,1047,1058,1063,1072,1079,1093,1096,1106,1114,1126,1133,1146,1150,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,28,41,47,51,62,75,77,88,99,104,115,122,131,137,150,153,168,175,317,325,331,339,345,358,365,377,385,388,401,406,419,428,437,445,600,604,614,626,628,636,651,659,660,675,682,691,695,707,716,728,734,739,749,758,766,777,781,797,805,814,822,826,839,844,851,863,872,875,891,898,904,910,924,930,938,946,954,962,974,983,989,997,1004,1012,1025,1029,1042,1049,1061,1065,1076,1084,1091,1102,1111,1116,1127,1132,1142,1154,1160,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,17,27,40,43,53,62,72,77,93,100,106,111,120,136,145,152,154,166,177,315,321,331,337,350,360,367,372,382,390,396,409,414,426,435,441,599,603,612,621,633,640,651,660,662,676,685,691,696,711,719,721,734,742,753,758,769,776,786,796,803,812,818,826,832,844,856,858,865,880,889,894,906,912,923,929,937,944,958,966,974,977,992,1001,1010,1018,1024,1032,1037,1049,1055,1066,1077,1082,1095,1103,1107,1115,1128,1138,1145,1152,1163,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,19,27,41,46,51,66,70,80,86,98,102,112,121,136,137,145,159,170,172,315,325,333,343,348,357,367,371,378,391,396,407,415,423,429,443,599,609,613,619,633,642,644,660,665,677,680,690,697,705,719,724,732,744,746,756,766,773,780,793,799,807,816,825,839,844,853,861,867,876,888,893,907,913,924,928,934,948,955,961,972,983,992,994,1004,1012,1023,1033,1038,1053,1057,1064,1072,1081,1092,1099,1112,1115,1127,1133,1139,1148,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,18,28,41,49,57,67,72,85,92,101,108,117,124,129,136,151,159,167,178,180,319,330,338,351,356,362,377,383,387,399,409,413,422,436,440,460,601,610,626,628,635,651,657,662,672,685,694,696,710,717,724,729,744,750,756,766,779,783,791,797,810,819,827,837,844,852,861,866,877,889,896,901,911,923,930,937,948,957,963,970,982,990,996,1003,1018,1026,1034,1039,1051,1057,1069,1071,1085,1091,1100,1106,1116,1128,1137,1140,1151,1157,1169,1177	1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,12,20,27,36,45,55,61,69,83,91,94,110,111,119,135,136,148,154,167,177,314,318,327,337,345,355,367,376,382,387,403,405,412,424,429,440,462,603,616,621,634,637,644,655,660,674,683,689,701,706,715,725,732,740,749,760,767,777,784,791,805,806,822,827,834,846,850,858,866,876,883,893,907,914,919,933,934,950,951,965,971,978,991,998,1007,1018,1023,1029,1042,1051,1059,1066,1073,1082,1089,1099,1110,1113,1129,1135,1141,1155,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,32,40,47,51,62,70,84,89,94,106,113,126,134,141,149,157,167,172,317,318,334,342,351,356,361,377,380,394,401,405,412,422,432,438,596,602,610,620,626,640,646,659,661,674,678,688,701,708,718,728,734,741,748,760,769,774,783,794,801,814,820,829,838,844,850,860,873,880,891,898,901,915,922,930,935,949,958,960,973,980,991,999,1002,1015,1019,1029,1044,1046,1053,1065,1075,1083,1093,1098,1111,1114,1128,1132,1142,1151,1162,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,23,33,38,48,56,63,74,85,86,99,109,115,122,128,143,148,155,164,176,315,326,334,337,345,356,362,375,380,387,400,411,418,424,430,444,596,606,614,622,632,636,649,658,662,674,684,687,696,710,718,726,733,741,753,755,769,776,784,792,802,808,822,824,838,846,853,862,866,877,889,891,904,909,924,930,937,943,955,961,973,980,988,994,1009,1016,1020,1029,1043,1047,1058,1062,1078,1086,1088,1101,1106,1119,1125,1134,1144,1150,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,17,32,38,42,56,66,70,79,92,101,110,118,127,136,140,146,160,169,173,313,325,330,343,347,354,362,376,386,393,397,406,420,421,432,441,598,605,613,620,627,635,651,653,668,671,682,692,702,707,720,722,730,743,746,759,768,772,788,790,801,812,818,823,838,844,852,863,872,875,886,895,903,910,919,928,935,946,957,966,969,979,992,994,1002,1018,1022,1028,1041,1047,1053,1063,1074,1082,1092,1101,1110,1119,1124,1130,1146,1152,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,20,25,40,43,53,60,68,79,91,101,102,112,125,133,144,147,158,163,178,313,325,327,341,352,353,366,370,382,391,398,404,420,425,432,443,454,605,614,619,627,636,645,656,666,670,682,688,695,704,717,722,736,737,754,763,766,779,781,791,803,809,818,830,839,847,850,857,871,879,885,897,906,910,919,928,941,944,951,960,970,978,985,996,1009,1014,1021,1028,1039,1049,1060,1068,1078,1085,1090,1104,1108,1114,1126,1130,1144,1153,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,18,33,36,50,52,66,72,77,89,101,110,117,120,135,141,152,155,166,172,315,323,332,337,344,354,366,371,386,391,400,410,413,424,434,439,598,602,610,618,631,636,647,659,663,677,682,692,695,706,718,721,731,741,746,755,768,771,785,796,800,809,819,829,834,847,855,865,873,876,884,898,901,908,924,927,940,944,956,960,972,976,989,1002,1009,1018,1023,1032,1043,1051,1054,1069,1073,1084,1095,1102,1113,1121,1127,1131,1144,1153,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,20,26,35,48,58,65,75,77,90,96,108,119,125,133,142,151,154,163,174,314,321,335,336,344,353,368,373,382,387,396,406,418,421,436,441,447,607,617,625,628,636,648,658,666,672,685,687,701,711,715,724,733,737,747,762,766,772,788,790,802,807,814,825,839,847,855,861,866,879,887,892,905,909,917,930,937,949,951,962,971,982,988,994,1003,1019,1021,1032,1039,1053,1058,1067,1073,1081,1093,1101,1112,1115,1130,1138,1146,1150,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,28,39,50,53,67,68,77,89,97,103,116,119,130,140,147,157,163,177,315,320,332,336,349,358,367,377,384,387,403,409,418,429,432,446,452,607,617,625,633,641,648,654,668,670,680,688,699,708,719,725,732,743,752,755,768,777,782,796,802,813,822,826,838,845,854,860,869,880,889,897,904,915,921,933,934,950,951,964,972,977,988,995,1007,1019,1027,1029,1037,1051,1058,1064,1072,1083,1095,1103,1108,1118,1129,1132,1145,1154,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,19,32,39,45,55,60,68,79,91,99,108,116,120,128,142,150,158,166,172,315,322,334,336,348,355,361,374,380,388,397,406,415,421,435,439,597,604,615,620,633,640,651,660,663,671,683,691,702,707,717,726,733,744,751,757,765,773,786,795,803,812,818,828,833,844,849,860,871,875,890,896,902,914,917,927,936,946,954,961,969,985,991,998,1007,1016,1024,1035,1039,1045,1059,1069,1076,1079,1095,1099,1109,1115,1122,1131,1143,1155,1161,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,28,41,50,58,66,69,84,88,98,110,112,120,136,138,145,160,170,176,318,326,333,340,344,359,367,377,384,391,397,406,416,424,436,443,450,602,613,623,633,636,648,660,664,674,684,688,701,711,718,725,737,738,749,760,766,772,783,789,799,806,822,830,835,842,852,858,871,878,889,895,902,908,922,932,939,949,959,964,975,983,992,993,1010,1012,1026,1030,1042,1046,1057,1063,1071,1080,1095,1097,1111,1116,1129,1133,1140,1154,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,31,36,48,53,67,75,79,87,99,104,118,125,131,138,150,157,168,179,317,320,329,335,343,358,361,370,379,388,396,406,414,428,435,439,598,607,612,620,630,642,648,659,663,674,684,686,695,705,716,720,730,744,750,757,767,774,787,792,800,807,819,825,832,843,850,857,873,875,882,896,904,914,918,932,937,942,953,960,970,977,988,994,1005,1019,1025,1035,1043,1045,1059,1065,1074,1085,1089,1098,1104,1118,1126,1132,1146,1155,1156,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,23,27,37,43,53,63,73,77,92,94,107,111,123,135,141,150,154,163,171,314,319,328,342,350,355,368,376,382,392,402,407,414,428,437,439,468,602,616,619,631,637,644,655,667,674,685,686,697,710,718,727,729,739,749,759,771,778,784,796,803,811,816,823,836,841,851,858,871,880,890,895,904,910,919,929,935,943,951,966,976,983,985,998,1009,1015,1022,1036,1043,1053,1060,1068,1076,1084,1095,1099,1106,1115,1128,1132,1147,1153,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,25,31,42,51,56,65,71,76,92,100,103,117,120,129,142,148,154,163,176,192,326,328,342,349,358,366,371,378,389,395,408,418,420,431,441,598,606,616,622,627,636,644,655,668,675,684,689,697,707,717,727,737,739,747,761,767,778,785,795,800,808,817,829,839,845,853,865,871,880,887,898,901,909,918,932,935,943,955,965,971,981,992,995,1004,1016,1027,1035,1040,1047,1054,1066,1076,1087,1090,1100,1105,1119,1124,1135,1145,1148,1158,1171,1177	1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,16,24,30,41,45,54,61,68,84,89,102,105,114,120,134,139,149,157,168,173,179,319,332,340,346,356,368,374,382,392,399,405,413,424,434,443,454,604,609,624,630,640,651,654,664,669,685,688,695,710,716,724,733,742,747,762,764,777,783,790,801,808,820,824,833,843,849,860,869,875,885,897,907,912,920,932,936,942,955,967,973,983,985,993,1005,1013,1027,1034,1038,1053,1055,1069,1076,1082,1093,1099,1111,1118,1124,1135,1141,1153,1159,1168,1174	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,10,18,26,41,47,53,67,71,83,88,94,108,117,121,128,145,146,157,167,170,196,325,329,341,348,355,364,373,384,394,397,410,414,424,436,443,447,607,615,624,629,639,648,658,661,670,681,687,701,707,712,724,733,743,747,762,763,776,786,795,799,806,816,823,837,843,856,862,873,882,887,897,900,914,923,931,938,950,957,960,973,978,987,996,1010,1013,1025,1033,1043,1045,1054,1064,1074,1084,1094,1096,1110,1116,1124,1133,1146,1151,1158,1168,1174	1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,17,25,42,47,56,66,71,77,85,95,110,118,124,133,138,148,156,164,174,189,320,333,338,351,359,362,376,381,388,398,407,417,427,430,441,596,603,617,623,633,640,649,657,665,676,681,688,698,709,718,724,736,744,749,756,770,773,783,790,804,810,818,831,838,848,855,860,873,877,889,898,908,915,919,927,939,945,956,964,975,977,988,999,1003,1018,1025,1036,1044,1049,1055,1062,1071,1081,1088,1096,1111,1115,1124,1133,1140,1152,1164,1170,1177	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,10,21,34,40,45,57,67,72,78,88,99,103,115,120,129,136,149,161,166,174,189,319,328,340,351,357,366,374,384,388,402,411,420,426,437,446,597,601,613,624,633,637,651,660,666,675,677,692,696,708,717,722,736,741,753,761,770,771,788,795,801,814,817,827,836,840,854,859,871,875,888,898,904,912,922,932,934,949,951,962,973,978,990,999,1007,1015,1020,1035,1038,1049,1056,1067,1078,1079,1092,1096,1111,1115,1128,1137,1142,1155,1160,1166	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,17,31,39,44,51,60,69,78,90,100,104,114,121,133,142,149,157,166,172,185,320,335,339,351,360,363,369,380,387,396,410,418,425,437,440,596,604,610,620,628,640,649,659,665,669,684,688,698,707,716,728,729,738,753,760,770,776,780,795,797,808,815,829,834,843,853,860,872,878,888,896,899,910,920,933,939,947,956,966,975,977,991,998,1006,1012,1025,1035,1039,1049,1058,1067,1076,1085,1094,1100,1109,1115,1129,1133,1144,1150,1162,1171,1175	1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,13,23,28,42,44,55,65,70,80,86,95,106,112,122,130,137,148,161,170,176,184,322,328,335,348,360,361,373,381,388,400,410,413,427,435,438,596,606,613,622,632,641,648,653,666,674,679,692,701,706,716,727,736,738,747,755,769,778,785,793,798,810,814,831,837,845,856,865,874,876,884,896,901,911,924,929,934,946,957,966,974,981,988,1001,1006,1018,1025,1028,1036,1050,1058,1068,1075,1081,1089,1103,1106,1117,1124,1135,1140,1150,1161,1173	1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,25,28,34,47,58,67,75,84,91,100,109,116,123,134,138,153,156,168,178,180,321,332,338,344,353,361,369,379,392,397,410,415,422,432,442,599,602,613,619,630,642,647,655,669,673,678,689,695,705,713,726,734,739,750,757,765,778,784,793,804,812,820,829,833,846,853,857,870,875,885,892,905,910,923,933,937,949,951,962,972,980,992,999,1005,1012,1021,1031,1042,1046,1057,1067,1075,1084,1092,1102,1107,1119,1129,1135,1147,1149,1161,1164,1176	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,23,30,37,44,59,64,73,80,92,101,104,119,122,130,141,149,153,170,175,316,318,334,342,348,352,361,375,385,392,399,406,418,424,433,446,469,601,615,623,633,635,651,652,661,671,678,688,695,704,717,723,734,738,753,759,767,772,785,789,799,810,814,829,837,844,848,859,868,882,883,895,907,914,920,931,940,949,956,961,971,984,991,994,1003,1017,1026,1030,1036,1048,1057,1069,1076,1084,1093,1099,1110,1116,1130,1132,1145,1153,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,17,29,41,50,53,60,68,85,86,98,109,114,120,133,143,150,161,165,171,185,324,329,340,350,352,362,376,380,387,403,409,418,423,437,440,454,602,609,619,632,636,644,657,662,675,679,693,700,710,712,725,735,744,751,762,766,774,788,794,801,810,820,828,836,846,849,861,871,875,887,896,902,914,922,929,941,946,958,960,973,978,988,998,1002,1013,1020,1034,1042,1052,1056,1065,1074,1082,1091,1097,1113,1121,1122,1131,1139,1147,1157,1172,1176	1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
8,12,20,32,38,43,52,61,72,82,93,97,110,114,119,133,137,149,160,165,177,182,320,334,343,344,357,368,376,379,388,401,407,413,424,430,443,460,608,610,621,626,635,645,658,664,674,681,688,697,711,714,727,730,740,750,755,763,772,787,789,799,812,815,829,832,841,853,864,870,877,890,898,904,911,921,929,937,945,953,966,976,981,993,996,1003,1016,1023,1034,1044,1050,1060,1066,1072,1082,1092,1104,1106,1119,1122,1138,1139,1155,1163,1165,1177	0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,21,32,39,42,55,62,70,77,93,97,107,119,126,132,139,150,156,165,175,318,325,327,337,351,359,366,369,383,390,396,407,412,424,430,444,459,608,612,623,627,635,646,658,663,671,684,691,698,704,717,727,734,744,752,757,766,776,785,789,798,808,822,829,835,840,849,862,869,874,891,899,906,913,918,929,941,945,958,965,976,980,989,998,1008,1015,1023,1027,1036,1045,1060,1067,1075,1087,1093,1101,1109,1121,1123,1132,1140,1148,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
6,12,25,29,39,47,58,60,68,81,88,100,107,115,126,132,136,153,155,168,175,193,326,328,339,347,355,365,373,382,387,402,411,415,427,432,442,596,605,617,618,631,640,650,658,665,669,682,688,701,704,719,722,729,738,752,760,766,772,785,793,802,814,815,825,839,842,855,865,873,875,889,896,907,910,924,927,939,944,958,966,972,984,988,1000,1008,1011,1024,1032,1039,1050,1057,1063,1074,1087,1088,1100,1110,1118,1127,1133,1140,1155,1157,1165,1177	0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,13,17,30,39,48,59,65,70,83,90,98,104,116,126,136,143,153,158,167,173,181,322,333,336,347,357,368,374,384,386,397,411,419,423,431,438,460,601,617,619,634,638,649,654,661,673,678,692,699,704,713,722,731,742,748,762,763,778,788,790,804,808,822,827,837,841,855,861,866,875,886,892,905,910,920,928,934,949,951,961,976,984,989,996,1010,1012,1024,1030,1037,1052,1053,1067,1070,1082,1090,1099,1107,1118,1129,1137,1145,1149,1163,1172,1177	1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
8,14,20,27,42,45,55,61,68,79,86,97,107,116,126,136,142,150,156,166,178,190,321,334,343,349,356,369,375,383,392,396,410,415,427,433,439,597,607,611,623,628,640,645,653,660,670,679,692,698,711,714,726,734,743,750,761,764,777,788,795,805,811,816,827,832,840,851,858,867,876,888,896,907,910,923,933,940,949,951,967,971,984,993,998,1004,1016,1021,1032,1041,1045,1060,1069,1075,1082,1088,1100,1112,1120,1125,1136,1140,1152,1157,1167	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,13,19,26,36,44,52,62,72,82,92,101,106,111,125,134,141,152,155,165,175,317,318,331,338,350,357,364,374,381,392,400,410,420,423,432,440,598,603,617,618,626,640,646,657,666,674,680,689,696,706,716,721,730,743,748,759,766,776,786,796,803,808,815,824,834,847,855,860,867,882,884,892,902,915,919,932,941,950,956,967,969,977,989,1000,1005,1012,1021,1032,1036,1046,1060,1066,1078,1080,1088,1097,1107,1116,1125,1132,1140,1154,1161,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,27,40,44,54,68,69,79,87,100,110,118,123,135,144,149,157,165,171,316,321,329,335,347,359,364,369,381,388,399,406,415,428,434,442,600,605,613,624,628,642,648,658,664,675,679,690,699,706,718,723,732,740,748,756,763,778,785,793,801,809,816,826,836,845,856,860,869,880,885,897,905,908,923,933,939,946,957,962,968,978,991,993,1010,1013,1025,1034,1043,1049,1057,1068,1070,1081,1089,1099,1106,1118,1123,1133,1142,1154,1164,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,21,33,41,48,53,67,69,83,90,102,107,116,122,129,138,146,153,163,178,317,320,332,337,345,353,367,373,381,394,397,405,418,424,435,446,468,603,614,618,629,638,649,653,664,676,679,691,701,711,716,723,735,739,752,754,763,776,787,792,804,810,815,823,834,845,850,859,868,877,888,896,901,910,921,930,941,947,957,966,971,977,991,996,1009,1015,1027,1033,1039,1049,1054,1066,1072,1081,1091,1097,1105,1116,1124,1136,1146,1152,1160,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,22,33,37,44,53,62,76,84,89,98,106,119,122,135,140,148,158,170,176,315,318,333,341,351,360,369,375,386,394,400,410,417,429,432,438,596,606,615,618,629,636,650,655,663,673,680,694,699,705,715,724,729,737,753,756,763,776,783,794,804,806,822,825,839,846,849,860,872,878,889,899,904,916,919,929,934,947,953,965,968,983,992,994,1010,1018,1024,1035,1041,1046,1062,1064,1072,1083,1091,1100,1110,1113,1128,1135,1147,1153,1164,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,18,27,34,44,52,66,74,81,89,95,110,111,122,135,140,148,154,170,176,313,325,329,342,351,355,365,376,382,390,397,411,416,424,431,438,596,608,614,623,634,637,647,653,661,670,684,689,695,708,719,721,734,745,749,762,766,775,784,793,803,813,820,829,837,845,855,862,865,877,886,895,907,909,924,926,937,945,955,966,976,981,986,995,1007,1011,1023,1032,1044,1050,1060,1062,1075,1087,1094,1097,1112,1116,1123,1138,1146,1155,1156,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,26,40,46,53,68,76,80,85,95,106,118,127,129,140,151,156,167,172,317,323,331,341,344,360,365,370,384,389,401,408,419,424,436,439,597,604,616,625,630,635,647,652,660,673,681,689,697,706,719,723,731,740,753,761,765,779,787,793,805,811,818,827,832,844,849,861,872,874,890,893,902,909,920,929,941,945,953,961,970,977,987,995,1003,1016,1022,1032,1042,1049,1053,1070,1073,1086,1091,1098,1112,1114,1125,1134,1146,1151,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,20,29,42,46,52,64,70,82,93,94,110,113,124,128,144,151,158,166,171,315,318,328,339,346,358,363,374,384,391,401,408,417,426,429,444,597,602,610,625,627,638,646,659,665,671,686,694,697,704,712,724,735,740,750,756,768,780,787,795,799,808,821,828,839,844,854,857,873,880,884,894,903,916,917,930,938,948,955,964,976,982,989,997,1006,1014,1023,1031,1041,1048,1061,1065,1076,1087,1095,1103,1105,1115,1122,1133,1143,1155,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,25,39,50,56,59,70,84,92,101,102,114,125,130,145,150,160,164,178,313,322,328,343,351,359,365,369,385,392,401,405,419,429,435,440,458,604,614,622,629,641,646,652,662,674,677,694,698,707,717,726,731,742,752,762,769,776,786,793,797,805,818,829,836,841,850,859,869,882,887,894,904,909,919,933,940,950,952,964,975,979,988,996,1004,1015,1026,1031,1040,1052,1055,1064,1075,1080,1090,1101,1109,1121,1125,1137,1142,1153,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,25,34,38,44,59,60,72,82,92,101,105,111,126,136,138,152,154,166,179,186,322,332,338,349,353,363,370,381,386,397,409,419,422,433,443,599,604,617,621,630,637,651,657,660,670,683,688,698,709,719,722,734,740,748,759,765,775,788,790,799,812,817,828,834,841,853,859,873,881,885,898,901,910,918,926,935,948,958,962,968,978,991,994,1004,1012,1027,1035,1037,1045,1057,1068,1078,1080,1091,1099,1105,1119,1130,1136,1141,1151,1157,1164,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0
6,11,20,29,41,51,57,67,74,77,90,98,104,118,120,129,138,152,162,167,179,318,325,327,342,345,357,364,371,380,389,401,404,412,424,436,443,462,602,613,619,629,642,646,654,668,676,683,686,698,710,718,722,733,742,747,760,765,775,783,788,804,813,816,828,837,847,851,858,870,880,889,899,902,915,919,926,941,949,954,967,974,976,985,1002,1003,1017,1023,1032,1039,1047,1058,1065,1073,1082,1088,1100,1109,1113,1126,1137,1144,1152,1162,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,20,25,39,48,55,65,68,80,86,95,110,115,123,133,141,147,161,162,170,318,324,329,337,348,360,363,373,382,388,402,406,414,425,432,446,447,606,611,622,628,636,643,655,668,675,679,688,699,709,715,723,734,745,747,756,768,779,784,791,798,812,814,823,838,847,854,863,866,876,885,896,903,915,919,927,933,950,951,959,976,983,986,999,1009,1015,1024,1029,1041,1049,1059,1064,1077,1084,1088,1099,1107,1118,1122,1137,1142,1151,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,31,39,46,55,64,72,77,86,98,105,118,123,130,143,151,155,164,178,314,325,327,341,344,355,363,375,381,387,401,410,417,424,435,443,461,608,616,619,632,641,649,652,666,675,685,687,696,706,719,725,729,738,749,755,768,776,781,795,803,806,822,831,838,845,854,862,869,875,890,893,906,910,922,926,941,946,955,966,976,981,992,1000,1008,1012,1026,1033,1037,1047,1056,1066,1077,1082,1088,1099,1112,1118,1128,1136,1142,1149,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,19,26,34,47,56,67,74,84,89,102,104,117,126,135,145,151,158,162,172,313,326,330,343,346,355,363,376,381,394,402,410,415,424,433,440,597,608,616,625,632,635,650,653,662,676,683,694,702,709,717,723,736,745,750,761,767,774,782,794,797,811,818,826,838,848,853,863,867,876,889,894,902,910,922,926,936,945,959,960,971,979,993,999,1009,1012,1022,1028,1044,1045,1056,1066,1070,1086,1090,1099,1111,1116,1126,1137,1142,1152,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,30,35,46,52,63,69,84,91,96,110,113,123,129,142,149,158,164,174,184,323,333,341,344,358,369,374,385,386,400,408,420,427,436,438,471,602,613,621,630,639,648,654,667,673,685,688,695,711,717,726,735,740,749,760,769,779,784,794,801,810,817,823,838,844,849,857,870,880,889,892,907,913,922,926,942,949,952,962,971,978,990,1001,1008,1012,1027,1034,1042,1050,1053,1064,1079,1080,1093,1098,1106,1115,1128,1135,1141,1155,1163,1172	0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
7,12,18,26,34,44,54,63,74,78,89,95,110,116,123,135,141,150,161,170,178,314,324,328,335,347,353,367,374,382,392,402,406,414,423,433,440,598,603,617,621,629,639,648,654,669,673,681,694,699,710,713,720,730,738,749,762,771,776,787,789,798,812,815,823,834,841,852,858,868,876,886,897,902,914,918,926,939,950,954,962,973,978,991,996,1006,1017,1025,1032,1036,1046,1060,1069,1075,1081,1095,1099,1105,1114,1128,1130,1146,1154,1159,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,32,35,50,54,62,76,85,92,96,109,114,125,136,141,152,160,165,173,315,324,331,336,344,358,365,374,380,387,398,409,412,421,431,442,449,606,614,620,628,636,651,655,663,671,686,688,700,704,715,720,730,742,753,758,763,772,784,793,805,813,816,826,838,847,854,862,868,877,889,895,907,912,920,932,935,945,952,962,970,977,988,997,1004,1012,1019,1035,1042,1046,1056,1067,1070,1083,1089,1098,1105,1113,1123,1132,1141,1154,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,18,27,35,46,51,66,74,77,87,95,104,111,124,129,142,148,157,164,175,317,325,331,336,350,360,366,373,378,388,400,404,413,425,430,445,596,606,612,623,634,636,644,657,665,676,678,688,695,705,716,727,731,740,751,761,766,772,781,790,801,814,816,823,835,843,852,862,866,878,886,898,901,909,921,931,941,947,958,960,968,980,990,994,1005,1016,1021,1030,1041,1051,1058,1066,1072,1080,1093,1098,1106,1117,1128,1138,1143,1149,1157,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,31,38,47,53,67,71,84,85,97,107,114,125,134,142,152,158,169,175,318,326,333,335,352,358,366,376,384,392,397,408,413,422,431,441,468,604,616,620,631,636,649,660,669,672,677,690,699,710,715,728,729,741,750,761,764,773,787,795,803,809,814,829,833,845,852,857,868,878,884,899,902,909,924,932,941,942,951,961,974,981,987,1000,1005,1012,1024,1029,1037,1053,1054,1066,1073,1082,1087,1103,1104,1121,1122,1132,1140,1148,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,20,26,36,48,54,62,69,78,87,99,108,116,122,133,141,146,156,169,173,314,321,332,341,344,355,368,377,381,393,400,406,414,424,434,440,599,609,615,618,630,638,649,658,664,676,681,686,698,703,718,728,737,745,753,759,771,774,787,788,805,811,820,829,833,844,856,858,871,879,889,895,906,911,919,925,935,948,957,966,971,983,985,1001,1009,1014,1024,1033,1039,1049,1057,1063,1074,1084,1093,1101,1108,1113,1126,1134,1146,1151,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,32,42,46,57,63,75,81,93,97,109,118,120,128,137,149,162,165,176,317,321,334,340,352,357,366,376,382,390,395,410,413,425,436,445,597,606,615,622,629,638,648,653,667,669,685,694,695,706,715,723,735,742,749,760,763,779,780,793,799,810,817,826,834,846,854,861,870,875,885,898,903,912,921,926,936,949,957,964,970,976,991,1001,1010,1017,1021,1028,1039,1047,1053,1068,1073,1080,1092,1099,1106,1120,1128,1130,1141,1150,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,23,31,35,45,59,61,75,82,89,99,107,111,120,130,136,146,160,170,178,314,325,330,337,346,354,362,369,384,392,401,409,418,428,433,439,463,605,614,622,633,638,644,655,663,676,680,694,698,704,719,723,736,738,746,758,766,776,787,791,804,806,818,824,839,841,856,863,872,881,885,898,904,916,922,931,939,944,952,965,970,979,992,997,1005,1016,1022,1035,1040,1048,1058,1063,1078,1080,1091,1098,1107,1119,1124,1137,1141,1149,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,32,39,48,57,64,70,77,87,102,109,113,123,134,143,149,162,168,177,318,325,333,342,344,356,369,378,383,390,395,409,420,427,435,444,447,603,609,622,632,638,648,657,669,675,680,687,699,711,714,722,731,740,753,762,764,777,785,790,799,809,816,823,835,843,856,861,872,874,887,898,899,913,924,930,936,946,958,961,974,978,988,1001,1004,1012,1020,1032,1038,1048,1060,1064,1076,1086,1096,1097,1105,1121,1123,1135,1142,1152,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,32,36,42,53,62,74,82,93,95,107,115,122,132,139,146,159,166,172,317,323,330,337,350,352,366,373,385,390,396,409,414,424,430,446,599,602,609,625,626,637,650,656,663,677,684,691,695,708,712,728,735,741,748,755,769,779,785,790,805,811,816,827,831,840,852,862,873,878,888,896,905,913,921,927,934,948,951,965,973,977,991,995,1002,1015,1022,1035,1043,1053,1054,1066,1078,1083,1087,1096,1111,1117,1126,1134,1139,1150,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,22,31,37,45,53,63,76,84,92,95,107,114,121,134,144,149,155,165,177,316,324,328,338,344,358,369,372,380,387,400,405,418,424,429,441,458,601,612,618,626,635,648,652,667,673,678,691,701,710,713,722,734,744,749,757,766,776,785,795,797,810,822,828,833,841,855,860,873,874,887,894,900,909,917,925,937,948,954,964,969,983,986,1000,1006,1016,1024,1031,1037,1049,1053,1065,1071,1085,1094,1099,1113,1114,1129,1131,1144,1153,1157,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,18,31,41,43,56,65,70,81,88,97,104,116,125,129,143,151,155,163,178,317,319,332,341,347,353,369,377,386,389,398,407,418,422,430,442,599,607,610,624,632,639,652,656,660,672,677,688,702,709,716,728,731,740,746,762,764,776,782,793,802,813,815,827,835,842,853,861,869,880,887,895,908,914,918,926,934,945,951,964,975,977,992,997,1006,1011,1023,1035,1038,1052,1060,1067,1072,1087,1092,1103,1112,1117,1129,1136,1142,1153,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,22,30,34,42,52,65,71,82,89,95,104,112,125,136,144,151,157,165,173,314,326,329,338,347,355,368,371,379,391,395,411,418,422,432,443,467,605,613,622,630,642,645,659,664,671,678,691,699,706,713,728,734,744,748,760,768,774,788,793,801,811,819,829,833,846,855,861,869,875,888,895,905,914,920,933,935,944,952,962,969,980,991,999,1007,1014,1023,1030,1042,1049,1057,1062,1071,1080,1095,1103,1105,1118,1129,1134,1146,1151,1164,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,23,29,36,46,56,64,69,79,87,94,102,118,124,132,137,151,153,168,177,181,324,333,336,350,354,364,369,378,389,398,404,413,421,431,441,600,607,615,626,635,637,651,657,665,671,678,687,699,711,712,726,733,742,746,757,766,779,783,793,805,813,822,826,833,843,854,864,874,881,889,895,908,909,917,927,935,949,959,963,974,980,986,996,1009,1016,1020,1032,1038,1047,1056,1064,1077,1085,1095,1099,1108,1117,1129,1137,1140,1154,1163,1166,1178	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,18,30,41,49,55,63,71,81,91,94,109,115,123,131,141,149,154,167,178,180,323,328,342,345,354,365,377,383,392,397,412,418,423,437,444,600,601,610,625,628,640,644,652,666,676,684,687,699,711,714,721,732,744,753,756,763,777,780,791,797,806,821,830,838,841,855,861,872,874,888,892,906,909,917,926,940,945,951,961,976,977,986,996,1008,1013,1021,1035,1040,1051,1056,1068,1073,1080,1091,1096,1104,1117,1127,1138,1140,1155,1161,1166	1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,15,18,30,35,48,58,62,71,78,86,102,103,118,123,130,137,150,159,169,175,183,323,333,342,349,356,369,375,383,390,397,408,417,427,432,441,599,607,614,621,627,636,650,652,662,675,677,693,702,705,718,727,730,742,751,756,763,773,781,792,801,809,818,825,836,846,850,864,872,878,891,896,908,915,917,933,934,949,959,965,969,980,986,1000,1010,1018,1025,1028,1037,1045,1060,1067,1078,1081,1092,1099,1108,1117,1128,1135,1141,1155,1163,1167,1175	0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,13,25,29,40,47,54,66,70,78,90,94,110,111,128,132,140,148,157,164,175,184,318,334,342,352,359,363,375,380,387,400,406,418,426,432,441,600,604,611,624,633,635,646,655,663,672,678,690,697,703,718,726,736,745,752,763,766,772,782,789,805,809,819,828,839,842,853,860,868,881,888,896,903,915,918,931,938,943,957,962,971,982,987,996,1007,1014,1021,1028,1041,1049,1053,1070,1072,1086,1092,1098,1109,1115,1126,1134,1146,1152,1158,1172,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0
5,14,20,33,42,50,52,66,70,80,88,98,103,115,124,132,141,150,156,167,174,190,320,330,342,349,352,362,370,381,391,395,407,415,425,437,444,596,605,617,623,629,642,648,659,668,671,685,693,697,709,713,724,734,743,753,756,771,779,787,791,802,806,818,831,834,840,848,861,869,879,886,896,901,916,922,931,936,942,954,963,970,976,985,1000,1010,1013,1025,1029,1038,1053,1054,1066,1076,1084,1091,1098,1107,1116,1129,1131,1143,1147,1158,1167,1173	1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
8,9,21,27,37,48,52,61,74,77,92,95,110,115,122,130,139,152,157,169,176,194,318,327,343,348,360,361,373,380,388,396,407,417,426,433,439,447,606,612,626,633,639,643,653,660,676,682,694,696,709,720,728,737,743,751,761,764,774,784,789,798,807,816,829,833,847,849,861,870,876,889,899,905,916,919,928,941,949,952,961,972,978,986,994,1004,1014,1022,1030,1036,1049,1054,1064,1072,1081,1088,1098,1111,1118,1129,1136,1142,1155,1162,1167	1,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,9,20,28,34,46,58,65,68,77,92,101,108,113,122,134,142,151,156,165,175,182,322,332,340,349,357,362,370,382,391,402,410,418,421,432,438,453,603,612,620,629,636,643,655,661,676,679,686,702,705,719,726,729,740,752,759,767,777,781,795,805,808,820,828,831,844,852,862,872,875,889,893,903,909,920,932,936,949,957,968,969,977,989,999,1007,1012,1023,1033,1042,1052,1061,1067,1073,1079,1094,1098,1112,1118,1124,1137,1146,1155,1161,1165,1175	0,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
2,12,19,33,41,47,53,67,71,79,90,93,104,118,120,134,141,148,156,167,171,182,324,334,342,349,360,361,370,383,387,401,404,420,422,434,438,469,605,617,623,632,637,647,654,661,671,679,694,699,708,714,724,736,740,747,757,765,772,782,791,802,810,814,827,835,842,852,863,866,877,884,895,905,911,919,926,938,943,951,960,972,981,985,995,1009,1013,1023,1033,1036,1047,1059,1068,1073,1087,1090,1102,1109,1121,1125,1135,1139,1148,1159,1164,1177	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,20,25,37,49,57,64,69,80,87,99,108,116,122,130,142,152,157,167,174,313,325,329,342,352,354,366,373,381,388,397,411,418,426,431,444,450,605,615,623,632,640,649,655,661,675,677,689,703,704,716,724,737,738,747,756,764,778,783,793,802,809,822,828,835,840,850,864,870,874,886,894,907,908,922,927,941,950,955,961,968,978,986,1002,1007,1015,1027,1031,1039,1046,1054,1062,1078,1085,1094,1096,1108,1119,1124,1133,1142,1148,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,22,29,41,43,55,64,74,84,90,95,104,113,123,133,139,150,154,164,175,190,320,333,340,344,360,368,377,379,388,398,404,418,425,433,438,458,605,610,626,630,637,649,655,669,674,685,691,696,710,715,720,731,744,752,759,764,778,785,789,800,811,820,831,834,841,854,864,873,876,887,893,906,915,921,928,940,948,955,966,970,985,987,994,1004,1011,1021,1035,1038,1047,1061,1068,1071,1082,1089,1102,1108,1121,1128,1135,1140,1147,1159,1167,1177	1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,25,29,42,45,56,67,75,83,89,98,110,114,124,129,141,151,154,168,172,181,324,333,337,347,358,367,377,385,387,401,412,414,423,436,439,598,606,616,623,631,643,650,660,665,673,678,691,702,709,719,727,731,745,748,755,769,773,785,793,799,811,819,826,832,843,854,862,867,882,890,895,906,908,919,926,941,949,951,963,971,981,989,1000,1008,1012,1025,1031,1037,1050,1056,1069,1074,1087,1091,1097,1111,1117,1123,1135,1146,1152,1160,1171,1174	0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,14,22,29,34,49,59,63,72,79,87,98,108,117,124,134,137,152,159,169,177,188,326,328,335,345,360,363,375,384,391,397,409,416,424,429,441,596,602,614,625,632,640,651,658,663,677,684,687,699,708,719,722,732,738,747,757,769,780,786,792,805,813,817,831,832,844,852,864,871,876,885,893,904,915,917,930,940,946,957,967,971,976,991,997,1003,1018,1021,1033,1036,1045,1059,1068,1071,1079,1090,1101,1111,1115,1127,1137,1145,1150,1164,1171,1173	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,22,29,41,49,56,61,73,84,86,95,108,113,126,133,140,148,156,162,176,183,322,332,339,345,357,365,375,386,387,402,412,413,424,430,440,467,601,612,618,633,641,647,654,667,673,684,688,698,708,720,724,736,741,750,756,770,778,782,793,799,811,819,824,837,848,856,862,872,875,884,895,904,914,919,933,935,943,958,965,971,983,993,998,1005,1011,1026,1034,1039,1052,1055,1069,1076,1080,1095,1098,1107,1118,1123,1137,1145,1148,1162,1170	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,18,30,41,51,58,60,74,83,88,94,109,117,120,134,140,152,156,163,172,187,320,331,339,345,352,362,373,383,392,398,407,412,422,429,445,598,607,611,618,634,643,646,660,667,673,680,691,701,705,713,726,733,739,747,761,769,774,786,792,798,812,816,826,837,840,852,863,866,880,882,897,901,916,917,930,942,949,955,966,969,984,990,999,1002,1011,1019,1030,1040,1049,1059,1064,1077,1079,1094,1101,1112,1113,1128,1132,1141,1154,1157,1171,1176	1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,28,38,51,53,63,74,80,91,98,102,118,127,129,144,147,157,166,174,186,324,335,339,346,357,364,376,383,390,398,410,417,423,434,439,596,606,617,622,631,641,649,656,666,670,683,688,699,711,714,723,729,743,747,757,766,774,786,791,798,807,816,828,833,847,849,860,871,878,883,891,904,914,920,927,941,944,953,961,974,980,985,1001,1002,1018,1026,1029,1043,1047,1059,1062,1076,1083,1093,1102,1112,1114,1124,1131,1147,1148,1161,1165,1175	1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,16,23,33,41,43,52,63,69,83,89,96,109,115,127,135,144,149,155,169,177,316,322,327,335,343,353,362,375,383,393,400,411,417,426,434,444,596,604,613,622,626,637,644,656,666,677,683,692,696,704,715,723,735,742,751,758,767,780,785,788,802,807,821,830,833,840,850,863,867,876,883,899,900,916,921,929,938,947,955,964,972,978,987,994,1005,1019,1026,1033,1040,1046,1054,1070,1074,1083,1090,1100,1108,1116,1123,1132,1145,1150,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,19,31,38,43,54,59,76,84,93,96,109,114,120,135,136,146,158,166,179,314,320,331,343,350,355,368,376,382,392,400,407,416,421,434,439,600,604,616,620,629,639,648,659,665,671,684,689,701,705,716,721,729,741,747,757,767,773,788,793,798,812,817,824,835,847,854,863,873,882,888,895,904,910,918,926,938,946,952,963,974,983,991,994,1008,1017,1022,1028,1044,1048,1053,1064,1077,1081,1092,1097,1107,1119,1128,1131,1144,1152,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,31,42,46,57,64,74,77,86,99,107,115,124,136,145,148,161,164,171,316,321,328,340,352,358,369,371,385,392,398,410,416,427,435,447,599,606,614,620,627,637,650,660,667,677,685,694,698,707,719,722,734,743,753,756,763,778,785,791,797,806,821,824,838,846,852,858,872,882,884,895,905,914,917,931,937,942,954,961,970,978,985,998,1007,1015,1021,1032,1037,1047,1054,1065,1073,1079,1094,1098,1109,1121,1123,1132,1142,1153,1162,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,21,29,35,48,51,60,72,82,86,98,108,112,124,136,144,148,158,170,177,313,319,334,336,350,356,363,377,384,394,401,407,416,424,430,440,596,609,613,619,634,638,651,657,665,672,684,687,694,708,719,721,733,744,750,758,768,775,785,791,799,808,820,831,839,847,848,857,870,880,888,894,903,912,918,933,940,945,955,960,968,979,988,999,1003,1011,1023,1035,1044,1048,1060,1069,1078,1083,1090,1102,1105,1121,1124,1134,1139,1149,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,22,30,36,43,52,62,71,81,89,94,110,114,119,132,136,153,154,164,177,316,322,331,338,349,358,363,372,378,388,396,410,414,424,433,438,600,604,614,619,628,636,644,654,667,672,680,690,700,709,715,728,737,743,749,756,765,777,785,793,800,813,815,827,838,844,856,857,868,877,883,894,908,915,922,932,934,945,951,966,972,977,986,994,1010,1014,1023,1029,1039,1050,1060,1063,1078,1084,1093,1098,1107,1114,1122,1134,1141,1150,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,32,38,43,58,66,71,82,92,95,106,114,122,129,140,152,158,169,171,314,323,331,336,347,357,367,372,379,387,402,411,416,424,433,443,466,608,609,620,634,642,646,654,661,677,685,692,699,704,718,722,729,740,751,762,768,772,783,796,805,812,819,825,832,840,848,860,870,874,883,896,901,909,921,927,941,950,958,960,974,981,987,998,1003,1017,1021,1035,1042,1052,1058,1062,1076,1082,1088,1097,1107,1113,1124,1134,1139,1155,1156,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,26,37,43,52,60,71,78,85,100,107,116,120,128,142,146,158,162,176,316,322,329,335,348,353,364,376,378,391,399,411,415,421,431,439,597,605,616,624,629,642,648,655,666,673,685,692,701,708,714,720,734,745,746,762,769,774,781,790,800,812,818,823,835,844,851,859,873,877,887,893,903,910,919,933,941,943,955,965,976,982,986,1000,1008,1010,1024,1035,1043,1048,1055,1064,1077,1087,1094,1103,1106,1117,1129,1133,1145,1148,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,25,31,42,50,53,62,75,78,90,99,110,117,120,130,138,149,157,164,178,314,324,328,337,347,354,361,377,378,392,401,409,418,424,432,447,597,607,617,618,632,639,643,654,662,673,678,693,698,706,715,723,736,738,746,754,766,777,783,796,799,811,821,828,836,845,856,862,872,878,885,893,900,912,916,929,936,950,956,961,971,978,989,994,1005,1017,1021,1034,1039,1049,1061,1066,1071,1080,1089,1101,1113,1114,1128,1131,1138,1149,1162,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,18,32,42,46,56,65,73,80,90,95,106,116,122,129,144,147,153,164,175,181,321,331,340,351,359,365,374,380,388,399,409,414,422,430,445,454,605,612,624,633,643,644,657,667,674,679,689,702,703,718,728,735,740,754,759,768,772,780,793,799,807,818,826,832,844,849,857,872,881,886,894,905,916,919,929,941,943,957,960,970,979,987,993,1003,1015,1024,1032,1040,1046,1056,1068,1071,1085,1095,1098,1110,1119,1124,1136,1139,1153,1159,1169,1173	1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,15,19,32,40,44,52,63,70,82,89,94,103,114,119,133,144,148,162,169,172,318,320,332,340,350,358,362,372,382,388,396,404,418,421,436,444,467,604,614,620,630,635,645,655,668,671,683,687,698,708,714,723,730,741,754,755,763,774,780,794,805,806,821,828,839,842,854,862,865,882,890,894,900,913,922,933,938,948,954,962,974,983,985,995,1009,1014,1023,1030,1043,1050,1061,1068,1072,1083,1090,1100,1110,1114,1129,1136,1144,1151,1160,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,20,27,39,48,55,60,73,80,91,100,107,115,121,135,140,149,160,168,176,313,324,329,338,349,354,367,369,382,386,398,409,419,427,430,439,463,608,611,621,626,636,651,658,664,670,682,687,702,709,717,728,734,740,747,754,769,776,780,794,799,807,814,826,836,840,848,861,870,874,885,891,904,916,918,932,938,949,955,964,970,982,986,996,1007,1015,1022,1029,1044,1049,1061,1066,1074,1082,1094,1104,1111,1114,1128,1130,1146,1153,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,28,35,49,59,63,69,82,87,95,107,118,122,131,142,148,161,165,179,317,324,327,336,349,353,365,377,382,393,397,411,412,420,430,442,467,604,613,621,627,641,647,653,660,671,679,692,700,703,718,724,736,742,751,756,763,772,783,789,803,813,820,827,839,841,848,861,871,881,891,893,902,911,923,929,934,947,952,966,976,981,985,996,1004,1017,1020,1034,1038,1050,1059,1062,1076,1084,1093,1098,1113,1115,1125,1134,1141,1152,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,24,27,34,45,58,64,72,77,92,98,109,118,123,133,137,147,161,162,177,315,326,328,340,347,355,361,374,379,392,397,406,412,427,433,445,457,606,614,621,629,635,646,658,668,676,685,690,703,705,716,721,735,741,747,758,766,779,783,789,799,808,822,825,833,842,855,863,867,874,890,896,906,909,917,927,935,947,952,966,975,983,992,995,1005,1014,1025,1034,1042,1051,1058,1064,1075,1084,1094,1103,1106,1113,1124,1135,1147,1155,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,29,40,47,59,64,76,79,86,101,106,111,123,131,137,147,157,168,172,193,325,333,343,348,354,365,372,381,394,403,404,414,427,434,442,599,608,615,623,631,639,650,656,663,673,678,693,695,706,720,721,729,742,750,754,766,772,787,796,798,810,819,827,834,841,856,857,867,877,889,898,903,912,919,931,941,948,957,966,975,984,989,999,1003,1017,1023,1034,1040,1045,1057,1069,1077,1085,1089,1101,1109,1115,1122,1130,1144,1150,1159,1167	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,18,32,37,50,53,62,75,80,90,101,106,114,127,133,144,145,161,162,177,315,322,329,338,347,359,365,374,382,389,400,404,412,423,432,445,463,602,614,621,628,638,651,659,662,675,682,690,703,708,715,725,736,741,748,758,768,774,788,793,797,812,820,825,839,848,850,863,866,879,884,894,904,911,921,928,942,945,957,966,970,980,993,995,1005,1013,1023,1033,1044,1046,1061,1062,1077,1087,1088,1100,1112,1114,1128,1135,1140,1152,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,22,32,35,49,51,62,69,83,86,99,108,118,126,130,140,148,154,162,178,313,324,327,338,348,354,363,376,378,387,396,410,415,426,435,442,599,608,616,626,633,638,649,656,662,671,681,693,697,710,715,728,729,745,751,754,764,778,787,790,802,811,815,827,836,846,854,860,871,877,884,895,902,911,924,927,936,948,952,967,974,982,987,998,1005,1018,1022,1032,1038,1051,1060,1069,1077,1085,1091,1099,1109,1114,1121,1137,1140,1155,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,29,35,44,51,60,74,81,85,98,107,111,120,131,145,151,158,164,172,314,325,332,340,344,359,365,373,385,393,400,412,413,426,435,444,598,602,617,618,631,637,651,652,663,675,684,686,702,710,713,722,736,739,753,763,769,772,786,793,802,811,822,829,832,842,853,865,869,874,886,894,905,908,919,930,935,946,956,961,968,983,985,999,1006,1011,1027,1034,1043,1047,1059,1063,1074,1084,1087,1101,1109,1118,1123,1133,1146,1151,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,29,37,43,59,63,72,76,88,100,108,116,120,129,141,148,155,170,174,313,322,331,336,349,360,365,372,383,386,397,404,417,425,431,439,471,606,613,625,633,639,648,657,666,671,683,694,698,703,715,727,733,745,747,757,771,777,785,795,797,809,815,824,838,848,852,860,865,877,890,899,900,916,921,930,937,945,956,963,970,978,990,1000,1003,1015,1019,1035,1040,1051,1058,1065,1071,1087,1093,1100,1109,1115,1123,1131,1140,1154,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,20,29,38,49,56,62,71,78,91,101,106,111,123,128,140,149,162,166,176,317,324,328,338,349,359,366,377,378,388,401,411,413,421,436,439,466,603,613,622,631,640,647,659,664,673,677,686,701,710,716,720,733,737,748,755,765,772,785,791,802,809,814,829,837,842,856,858,872,874,889,891,905,910,922,929,935,944,957,967,972,979,992,995,1004,1015,1026,1029,1037,1047,1056,1068,1070,1084,1090,1104,1109,1120,1122,1130,1143,1150,1156,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,29,42,50,52,60,72,81,85,97,108,118,121,133,139,151,158,166,173,317,323,332,338,344,353,364,376,386,388,398,406,418,428,433,441,470,605,609,622,626,639,649,655,662,677,680,686,697,710,720,721,735,741,750,757,767,779,787,792,801,808,822,828,836,842,849,865,870,876,888,894,907,909,924,930,940,949,953,960,973,980,988,999,1004,1011,1022,1035,1041,1049,1060,1067,1071,1083,1087,1098,1106,1114,1124,1136,1146,1151,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,27,38,49,53,67,69,79,85,100,109,118,125,135,139,150,157,168,179,317,322,331,342,352,354,364,369,381,389,402,406,417,426,437,444,470,606,611,625,627,642,650,657,668,671,680,686,703,707,713,721,735,741,747,758,766,774,783,794,797,811,820,828,839,841,848,859,872,878,884,895,906,910,924,929,937,943,957,965,976,982,989,998,1007,1018,1027,1035,1043,1052,1059,1069,1078,1079,1094,1101,1108,1113,1122,1132,1140,1152,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,24,25,35,47,56,61,75,78,86,102,106,117,119,133,138,145,160,169,171,313,322,328,337,350,354,363,377,380,387,402,411,413,426,433,442,466,607,612,624,629,635,648,652,664,669,680,688,701,711,717,724,733,745,749,762,769,778,787,792,802,807,819,823,836,842,849,865,871,875,887,897,905,915,924,932,935,950,954,968,973,978,991,1001,1008,1011,1027,1034,1040,1049,1057,1064,1075,1081,1095,1101,1108,1116,1122,1136,1146,1154,1163,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,17,32,37,49,58,61,75,81,87,95,104,113,120,134,141,149,159,170,173,314,325,327,336,347,360,368,374,385,394,395,408,416,426,435,441,600,607,615,619,634,637,646,658,662,673,683,691,696,711,714,723,736,742,754,760,764,779,784,789,802,812,815,825,831,844,855,863,869,877,888,898,905,916,924,926,942,945,955,967,969,976,993,994,1007,1015,1022,1033,1037,1051,1057,1065,1070,1084,1095,1101,1108,1114,1129,1130,1142,1150,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,17,26,40,48,57,65,73,77,91,99,105,114,123,132,141,148,161,163,176,317,319,327,343,345,357,368,372,385,387,397,406,416,428,433,442,598,607,611,623,634,637,648,656,662,676,686,687,697,710,717,728,729,745,750,759,771,776,786,795,802,807,817,825,832,840,855,857,874,880,889,897,901,915,920,932,939,943,959,961,974,981,988,994,1004,1013,1027,1028,1037,1052,1055,1070,1076,1079,1092,1100,1113,1115,1130,1136,1145,1150,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,20,30,37,45,59,62,71,77,90,95,106,112,119,129,137,152,153,164,177,315,326,327,336,350,358,366,376,380,394,402,411,417,423,434,445,596,606,616,624,634,642,645,654,664,675,681,694,701,706,714,724,735,744,751,760,763,779,783,792,800,810,822,825,836,843,850,865,871,881,885,893,904,910,920,932,938,947,957,961,971,981,990,998,1004,1018,1023,1028,1042,1045,1054,1064,1078,1085,1095,1099,1109,1120,1128,1137,1143,1154,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,18,33,41,48,52,66,76,82,89,95,108,111,121,133,141,150,159,164,178,315,325,333,337,352,359,361,374,379,390,399,404,415,422,431,446,597,607,609,620,631,640,648,653,668,677,684,691,701,705,717,726,737,741,753,761,770,773,780,788,802,810,821,828,839,843,853,858,867,877,890,898,902,909,922,932,941,950,953,962,970,979,992,995,1005,1013,1025,1029,1036,1052,1055,1064,1075,1085,1093,1099,1112,1117,1123,1135,1146,1151,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,31,41,47,53,60,72,77,92,102,109,111,120,134,138,148,160,168,173,183,319,329,339,344,358,361,376,378,394,396,408,417,424,434,441,596,601,610,620,630,641,646,657,667,672,680,694,698,705,711,721,733,745,748,762,766,777,785,794,798,806,819,830,837,845,851,861,872,882,884,891,901,915,923,926,939,949,954,968,969,984,992,1001,1005,1018,1022,1032,1043,1046,1054,1063,1078,1085,1093,1098,1110,1120,1127,1136,1143,1147,1162,1171	1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,25,27,39,45,52,67,69,83,91,96,109,117,124,134,142,150,161,170,174,183,322,334,338,349,353,363,376,384,388,398,404,413,428,436,442,600,606,610,620,631,639,647,659,669,676,680,691,702,703,713,723,730,743,747,757,768,776,782,791,802,812,815,823,832,846,848,858,872,881,887,894,905,913,918,933,941,942,952,963,968,977,990,1000,1010,1011,1024,1031,1044,1045,1055,1063,1073,1087,1091,1101,1107,1117,1126,1131,1141,1147,1159,1164,1178	1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,9,24,32,34,49,57,64,76,78,90,97,102,118,124,131,139,146,161,168,177,182,323,333,339,344,360,363,372,382,388,398,405,419,427,430,439,600,605,613,619,630,641,651,657,662,675,678,689,698,703,712,724,730,740,753,758,771,777,782,794,802,807,821,824,834,842,854,858,866,878,889,897,904,915,921,925,937,945,958,964,969,983,986,997,1010,1011,1022,1030,1037,1053,1060,1062,1078,1087,1091,1103,1109,1119,1122,1136,1143,1148,1157,1165	1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,9,19,33,38,43,51,63,70,78,87,98,108,118,123,135,145,148,159,164,174,182,324,327,339,352,357,366,377,386,390,395,405,415,428,435,441,596,606,614,626,633,635,647,655,665,674,681,694,700,711,718,727,737,739,754,758,768,777,785,796,803,806,820,827,831,848,855,861,870,877,883,892,907,910,916,929,934,945,957,968,972,985,988,994,1008,1011,1019,1028,1039,1051,1056,1062,1078,1083,1090,1102,1108,1119,1125,1136,1143,1153,1161,1167,1174	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,16,18,33,42,45,58,67,69,84,86,101,109,115,123,131,137,147,155,165,171,190,321,331,335,345,356,364,375,382,388,396,405,420,423,436,441,597,601,615,619,629,638,649,655,661,675,684,687,699,708,716,721,729,738,750,759,763,774,782,789,805,809,817,827,831,845,850,858,870,881,891,896,900,908,925,933,939,945,958,962,974,977,987,998,1006,1015,1022,1034,1044,1053,1055,1062,1070,1080,1094,1103,1108,1114,1123,1137,1142,1154,1156,1170,1178	1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,16,22,25,37,49,54,65,70,84,91,100,102,115,126,129,141,146,159,165,174,184,323,332,339,344,356,365,370,380,391,403,409,413,429,434,442,454,602,614,618,629,639,644,652,666,673,682,689,697,707,719,728,729,741,754,756,770,779,782,790,803,806,820,823,837,840,856,860,873,875,883,895,906,913,919,928,940,948,958,966,975,983,993,995,1008,1017,1024,1029,1037,1046,1058,1065,1071,1081,1092,1097,1106,1117,1129,1131,1144,1150,1161,1168,1176	1,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,9,24,26,39,42,59,61,71,84,86,95,102,113,123,130,137,148,160,162,173,183,324,331,338,347,353,365,371,383,388,395,404,417,425,435,441,597,603,612,619,628,642,644,660,669,674,680,691,699,709,716,728,735,743,746,757,766,779,783,794,798,813,817,825,833,844,852,864,873,876,890,895,902,911,922,932,940,944,957,967,971,983,988,999,1006,1012,1023,1028,1043,1049,1055,1062,1079,1085,1088,1101,1109,1121,1125,1137,1145,1147,1159,1165	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,12,20,31,37,47,52,61,75,77,88,95,103,113,120,132,144,152,158,166,171,184,318,330,343,348,359,368,376,378,387,402,404,419,428,429,441,597,601,614,623,627,637,644,652,663,670,685,690,698,711,719,722,735,739,747,760,765,780,784,791,799,810,822,829,836,846,853,857,867,882,887,892,906,909,920,928,941,945,953,965,970,978,988,998,1007,1011,1025,1034,1039,1053,1059,1070,1078,1084,1094,1102,1106,1114,1126,1138,1140,1155,1159,1171,1176	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,18,28,38,50,51,61,76,82,90,99,107,115,126,132,144,153,156,169,173,317,324,333,335,351,353,361,373,379,388,400,408,419,424,429,446,468,601,610,625,630,636,646,653,663,677,683,692,700,706,713,721,730,740,751,755,768,778,782,792,797,813,817,829,833,845,850,861,871,881,883,894,900,912,925,929,941,944,957,965,972,981,992,1000,1003,1012,1023,1030,1043,1052,1061,1065,1073,1086,1095,1096,1108,1119,1122,1134,1144,1155,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,23,30,39,49,58,65,73,79,87,95,108,118,127,131,140,147,155,166,171,183,318,329,340,344,358,369,370,382,386,400,411,417,427,434,445,457,601,613,620,632,642,651,657,666,670,683,692,701,706,714,723,731,740,750,755,767,776,786,794,802,805,817,825,838,844,848,859,873,879,887,897,901,909,920,926,936,944,952,963,968,977,991,1000,1006,1017,1022,1028,1039,1053,1061,1068,1076,1083,1093,1103,1112,1119,1129,1136,1140,1148,1161,1166,1178	0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
7,12,20,26,38,46,59,66,71,79,90,98,109,117,125,131,140,148,156,163,178,180,326,327,340,351,357,363,371,380,393,403,411,415,427,432,445,463,605,609,625,633,641,650,656,667,672,678,690,699,708,719,726,731,742,751,760,769,775,785,791,804,811,814,823,833,844,854,864,871,877,883,899,901,909,920,931,936,948,956,966,974,980,990,998,1002,1016,1021,1031,1037,1053,1056,1067,1074,1083,1092,1099,1105,1119,1127,1138,1143,1153,1158,1169,1175	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
5,8,21,29,41,50,53,65,69,82,85,97,105,115,122,130,144,148,160,164,178,180,322,335,342,346,356,365,370,379,392,403,409,414,427,435,443,447,602,612,621,631,640,646,652,660,673,680,691,695,705,718,721,732,740,754,755,768,774,786,792,805,814,821,827,833,847,855,862,869,882,887,896,908,909,924,930,937,948,957,963,972,979,985,1000,1007,1013,1022,1030,1040,1047,1056,1065,1078,1080,1090,1101,1112,1119,1124,1131,1144,1148,1157,1171	1,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,22,34,36,47,52,62,74,77,89,101,105,112,124,132,138,149,154,167,176,183,323,335,341,350,354,366,376,382,393,401,410,420,428,437,438,597,605,609,620,633,640,644,652,666,676,679,693,699,708,711,725,733,737,752,758,764,774,781,793,799,808,816,830,832,840,848,861,866,880,883,896,904,909,919,931,935,944,951,961,974,977,993,997,1003,1016,1024,1028,1044,1048,1055,1069,1074,1085,1092,1102,1106,1120,1123,1130,1142,1155,1159,1171,1174	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,11,23,33,37,42,59,65,76,81,93,95,108,111,125,130,139,151,157,163,176,180,324,333,337,347,353,367,374,382,387,396,412,417,429,434,443,598,601,611,623,634,640,649,653,662,670,679,690,699,704,713,725,732,740,748,756,770,774,780,792,801,809,815,825,836,846,855,857,868,879,883,894,906,911,924,926,938,943,955,965,975,981,991,994,1004,1010,1024,1028,1039,1047,1058,1065,1075,1082,1089,1096,1109,1114,1127,1134,1146,1147,1158,1168	1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,18,30,41,45,55,60,75,83,89,101,105,113,119,132,140,149,156,162,171,185,320,330,342,350,357,365,373,380,393,398,404,414,429,435,442,599,602,616,619,631,636,650,659,663,671,682,692,700,711,718,728,731,745,749,758,766,779,782,794,804,814,817,830,832,843,850,857,873,878,885,895,908,915,917,932,936,949,952,965,976,977,987,997,1007,1011,1021,1028,1037,1045,1060,1065,1071,1079,1093,1096,1109,1119,1123,1131,1144,1154,1156,1171	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,17,32,41,46,51,65,76,83,89,95,108,114,126,131,144,146,158,165,174,315,320,327,339,345,359,362,371,383,393,402,406,418,429,431,443,598,601,614,626,629,637,647,655,663,676,678,691,701,711,714,720,730,744,748,755,767,772,782,789,804,806,820,829,839,844,853,857,871,880,887,893,907,912,920,928,940,946,951,962,975,981,990,995,1002,1011,1020,1028,1039,1045,1059,1069,1073,1081,1095,1100,1108,1114,1124,1138,1143,1153,1156,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,18,26,38,46,56,62,73,81,93,96,102,117,126,132,136,146,157,167,173,318,322,328,340,351,355,366,375,383,389,398,408,413,429,432,440,462,603,616,618,628,637,650,652,662,672,683,688,701,710,713,722,733,744,750,761,768,778,782,789,798,811,817,828,831,842,850,861,866,878,886,898,900,911,924,928,938,950,954,963,973,984,986,998,1006,1018,1025,1032,1040,1047,1058,1063,1073,1082,1090,1102,1108,1117,1125,1135,1141,1154,1163,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,24,29,37,44,59,66,74,77,87,101,109,117,119,131,141,150,157,162,178,314,323,331,337,351,355,366,376,381,389,399,411,418,420,431,439,596,604,613,621,630,642,651,660,666,669,686,692,695,711,719,721,732,739,754,757,768,773,786,793,804,813,815,826,833,846,852,859,871,880,888,892,904,908,923,929,941,950,955,965,970,978,991,1001,1002,1013,1024,1034,1040,1052,1060,1064,1071,1081,1092,1104,1108,1118,1121,1132,1145,1151,1162,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,32,42,50,53,64,71,83,93,98,109,111,124,135,142,150,157,166,172,313,320,330,337,344,354,361,374,382,392,398,405,414,424,432,441,598,607,613,624,628,642,648,659,662,675,678,694,702,708,717,720,737,740,746,760,763,773,784,790,804,806,816,829,835,848,854,857,870,881,889,892,905,913,917,929,937,943,954,963,968,984,991,1000,1005,1012,1023,1035,1042,1045,1054,1064,1074,1083,1087,1102,1109,1121,1125,1135,1139,1151,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,31,37,49,52,66,71,79,91,101,102,113,127,133,142,146,153,165,178,314,322,331,341,344,356,362,369,379,388,401,403,420,422,431,439,599,608,612,624,627,642,650,654,663,674,680,694,702,711,715,727,731,745,753,758,767,777,780,795,797,809,816,829,838,846,852,861,868,876,889,897,902,908,917,930,939,950,956,967,974,977,988,1001,1010,1014,1023,1035,1039,1047,1058,1067,1072,1086,1095,1097,1110,1118,1127,1136,1145,1155,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,23,31,41,45,57,65,70,77,89,101,109,116,127,128,141,146,158,167,174,316,319,330,341,348,352,364,372,386,394,400,409,413,427,431,442,468,605,610,621,633,643,645,656,668,672,683,688,697,710,714,721,729,744,747,758,768,777,784,797,800,808,814,823,839,844,849,857,868,879,886,893,907,910,918,931,935,947,959,961,972,984,986,995,1005,1018,1022,1032,1041,1050,1058,1068,1078,1084,1091,1096,1111,1121,1123,1131,1139,1151,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,23,33,39,45,54,59,72,79,92,100,105,113,121,132,137,152,154,168,176,315,320,330,342,350,353,366,369,382,392,399,410,412,424,434,444,600,608,613,621,629,635,644,656,662,669,679,686,697,708,713,723,732,740,752,757,768,773,785,794,799,808,821,830,833,846,854,859,867,880,888,892,901,913,924,931,940,947,956,961,969,979,992,996,1002,1013,1025,1034,1038,1045,1054,1069,1070,1082,1090,1102,1112,1113,1129,1135,1143,1152,1163,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,20,32,36,43,57,62,70,80,93,94,104,111,120,129,144,146,160,168,175,316,325,328,343,346,353,365,369,385,388,397,406,414,420,437,445,599,600,610,626,632,639,646,655,664,675,683,694,702,710,712,722,732,737,746,759,767,772,784,794,803,806,821,826,836,848,856,859,872,877,888,893,907,912,920,930,938,944,957,966,975,982,985,997,1002,1010,1021,1029,1042,1050,1061,1062,1072,1081,1095,1102,1111,1115,1123,1132,1144,1147,1160,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,18,27,36,50,53,66,71,85,93,97,110,117,126,128,138,151,154,162,171,188,321,327,336,350,359,363,374,378,393,402,410,415,428,429,438,599,606,610,619,632,640,651,660,668,673,682,689,696,705,713,728,731,739,746,762,770,779,785,794,802,806,815,825,838,842,853,858,869,876,884,897,908,914,920,931,939,946,952,963,973,983,991,999,1003,1011,1021,1028,1041,1047,1058,1063,1071,1083,1094,1103,1106,1119,1123,1132,1144,1148,1156,1165,1173	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
6,16,17,32,36,46,57,61,70,80,89,95,109,111,121,132,138,148,160,167,178,317,322,330,339,348,355,364,373,386,388,402,406,420,421,434,438,456,603,614,619,632,637,652,658,662,676,683,686,699,711,716,726,735,741,749,759,768,779,785,791,804,807,820,829,834,847,853,859,871,877,888,897,904,916,918,926,939,951,953,962,968,983,991,996,1010,1012,1025,1030,1044,1047,1057,1066,1072,1080,1090,1104,1107,1118,1123,1133,1145,1150,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,32,34,47,52,62,74,83,93,98,104,112,121,134,142,151,158,163,177,318,323,334,336,347,353,368,370,383,392,402,412,417,423,429,443,600,604,616,625,632,643,650,658,664,673,683,689,698,706,713,725,735,744,747,757,768,776,784,791,803,808,816,825,839,842,849,859,867,875,887,891,902,910,922,928,939,950,951,967,975,980,988,996,1004,1015,1022,1028,1040,1051,1054,1062,1075,1086,1088,1104,1111,1116,1129,1137,1141,1153,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,28,39,45,56,63,69,83,86,95,105,116,126,132,143,146,159,167,177,315,318,334,342,351,358,366,377,385,391,395,409,417,428,429,439,597,602,614,625,633,635,644,655,662,677,684,691,699,710,717,726,737,744,752,759,769,772,786,794,804,814,821,830,838,848,852,863,867,881,887,899,907,916,918,933,936,943,951,967,972,978,988,997,1010,1011,1026,1028,1044,1050,1062,1064,1073,1083,1095,1104,1111,1114,1126,1136,1141,1154,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,21,33,36,45,56,63,72,81,92,100,104,116,123,128,140,152,160,167,178,313,322,332,343,351,356,363,375,385,386,401,408,413,424,435,438,599,601,611,625,630,638,643,658,664,677,683,692,701,703,714,725,736,738,753,757,763,775,785,795,797,806,817,823,839,846,856,863,865,881,885,895,903,915,922,932,940,950,956,962,969,985,991,996,1009,1015,1021,1032,1040,1051,1056,1063,1075,1085,1093,1102,1109,1117,1128,1133,1140,1154,1162,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,26,38,47,55,60,73,82,92,97,110,113,120,133,137,147,153,169,171,184,325,335,336,349,353,367,372,383,392,398,406,414,421,430,442,599,602,610,623,626,642,644,657,667,669,684,689,698,704,715,723,736,742,749,755,771,774,780,788,802,807,815,823,832,847,854,861,871,874,888,894,900,914,923,927,941,949,957,966,969,982,989,994,1010,1012,1020,1032,1041,1051,1056,1062,1071,1087,1091,1097,1105,1113,1126,1135,1142,1151,1161,1165	1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,20,27,40,48,59,64,73,77,91,100,107,115,125,134,140,145,153,168,176,313,323,332,338,350,353,361,377,383,392,403,409,416,426,436,441,600,605,611,619,634,637,645,657,664,674,684,694,696,704,719,727,733,738,747,757,769,772,781,792,802,811,817,831,838,848,849,859,869,875,885,895,903,910,922,930,935,944,951,961,974,979,986,996,1004,1016,1025,1029,1042,1050,1056,1065,1079,1085,1090,1096,1106,1114,1123,1133,1142,1155,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,27,40,43,52,60,74,84,87,96,110,113,122,132,141,149,157,163,177,317,320,334,338,349,353,362,370,378,386,400,407,420,427,435,438,468,604,616,623,628,639,651,654,664,675,682,690,701,708,713,722,731,743,754,762,769,772,783,795,798,813,821,823,838,847,850,861,865,881,884,895,904,911,918,926,934,944,954,965,973,977,987,994,1009,1016,1027,1035,1038,1048,1058,1067,1075,1082,1094,1098,1109,1113,1128,1136,1144,1147,1158,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,21,28,37,47,53,60,73,82,86,100,110,115,126,131,143,147,158,170,177,314,324,331,339,345,357,366,371,385,394,403,412,415,421,429,445,449,604,617,622,634,642,645,657,667,675,681,689,701,706,719,721,736,739,753,763,769,778,787,789,801,808,816,824,838,843,854,859,871,879,887,896,906,909,924,928,935,944,951,961,973,980,986,996,1006,1011,1024,1035,1041,1048,1058,1069,1075,1084,1088,1102,1109,1120,1130,1132,1141,1154,1161,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,27,37,51,57,59,71,80,92,96,109,117,124,136,142,146,158,169,177,318,321,332,338,348,352,364,376,385,392,400,410,419,423,435,442,466,601,612,623,627,638,649,657,667,670,680,687,699,708,717,723,733,743,746,761,769,777,782,789,801,812,815,826,836,840,857,864,868,882,883,891,907,915,920,932,934,947,958,962,971,982,991,1000,1007,1015,1019,1033,1039,1047,1057,1062,1075,1079,1090,1104,1106,1119,1124,1136,1140,1150,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,31,35,45,59,64,68,81,86,94,109,116,126,133,142,149,161,163,173,315,324,329,338,344,353,365,370,378,394,395,409,412,425,437,444,600,604,613,624,630,640,647,654,666,672,680,694,701,709,714,726,732,745,751,762,769,778,788,795,804,812,815,827,833,843,854,863,869,877,884,893,906,914,922,930,939,950,956,965,973,981,990,996,1006,1011,1020,1030,1042,1049,1059,1069,1077,1085,1093,1103,1113,1115,1129,1131,1139,1149,1161,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,31,42,49,54,67,73,81,87,97,104,113,123,128,142,147,154,165,177,313,325,331,341,351,359,365,375,384,394,395,407,414,426,436,442,599,602,614,621,628,643,649,653,663,673,684,690,702,710,715,722,736,741,751,757,767,777,784,797,800,806,815,828,837,841,850,859,871,874,889,896,907,914,919,933,937,945,958,960,972,984,987,997,1010,1016,1025,1030,1039,1052,1056,1069,1072,1086,1090,1098,1107,1113,1126,1133,1143,1151,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,28,36,49,59,60,68,83,88,97,110,113,123,136,143,148,155,162,179,314,324,329,339,345,360,366,373,382,388,399,407,418,425,431,447,597,606,616,622,632,635,644,655,665,674,684,693,701,709,715,725,731,741,746,755,767,777,783,796,805,812,814,825,834,843,851,857,873,878,885,899,901,916,921,930,936,943,957,965,974,981,991,995,1005,1017,1022,1029,1041,1051,1060,1063,1077,1080,1095,1100,1112,1120,1121,1134,1142,1151,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,25,34,41,43,57,66,73,79,93,99,107,116,121,136,143,145,154,164,170,316,324,329,341,349,359,362,373,383,387,400,406,412,427,430,438,467,605,609,626,631,643,649,657,661,670,681,691,702,704,718,727,737,738,750,755,769,776,787,793,804,811,820,823,834,845,856,864,873,879,883,893,903,908,918,927,935,950,954,966,969,981,989,999,1007,1016,1026,1034,1041,1052,1061,1068,1075,1081,1088,1101,1111,1119,1125,1136,1141,1154,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,20,32,37,49,56,67,70,78,86,97,104,116,122,132,143,149,158,162,173,314,318,332,338,347,354,363,370,385,388,396,405,419,426,434,441,466,602,615,618,631,642,645,657,668,675,683,688,701,705,720,723,731,745,751,757,765,775,785,791,799,812,816,828,835,847,853,861,870,875,885,895,903,908,922,932,937,946,959,965,973,984,985,996,1009,1017,1025,1028,1039,1049,1053,1063,1072,1083,1094,1099,1111,1113,1124,1132,1141,1152,1156,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,25,29,35,47,52,59,72,82,93,94,104,112,122,132,137,153,158,167,174,316,320,334,338,348,353,362,370,381,394,398,411,416,425,437,446,466,608,617,625,634,637,651,653,661,676,682,686,701,706,712,723,735,739,749,757,767,775,783,792,801,811,816,828,838,846,855,863,870,881,886,899,904,909,919,933,937,943,952,963,971,984,988,994,1009,1012,1027,1032,1036,1048,1054,1068,1072,1084,1091,1103,1109,1116,1125,1138,1144,1149,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,32,40,48,56,63,69,85,90,96,105,119,126,129,144,152,159,164,175,315,320,335,339,346,353,369,376,383,392,403,404,415,424,434,445,599,603,612,625,631,640,643,657,667,675,678,693,699,708,712,729,734,741,749,755,768,775,780,791,802,811,815,825,832,840,849,861,871,878,884,893,907,912,918,931,941,943,959,965,969,979,987,998,1008,1016,1022,1035,1037,1048,1062,1065,1078,1082,1089,1103,1111,1116,1124,1133,1140,1150,1159,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,17,21,27,37,44,56,61,76,79,85,100,104,119,123,132,141,153,160,170,177,314,322,332,338,352,358,365,371,381,392,402,407,413,425,430,439,600,602,616,618,626,642,649,659,664,672,677,686,696,707,712,723,736,737,752,759,770,771,787,793,803,809,819,826,836,841,856,859,872,876,883,898,905,912,917,927,940,949,957,961,973,979,993,998,1009,1012,1026,1030,1041,1045,1058,1070,1073,1087,1093,1099,1108,1118,1127,1135,1141,1152,1158,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,19,25,39,47,51,64,76,80,86,96,107,111,127,130,143,146,158,166,177,180,324,328,337,348,357,365,376,381,388,398,406,414,422,437,444,468,607,614,626,634,638,644,659,664,671,686,687,697,709,720,725,734,739,753,761,767,773,782,789,804,810,815,827,836,840,849,859,871,874,887,895,902,911,922,927,934,946,959,967,974,983,986,994,1010,1019,1020,1029,1039,1049,1054,1065,1077,1080,1091,1101,1108,1119,1125,1138,1143,1154,1164,1166,1178	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,12,20,30,41,48,51,66,74,84,93,96,110,115,121,130,138,148,156,163,172,182,318,331,335,345,358,365,374,379,388,402,405,419,424,429,439,599,606,617,626,628,636,644,656,661,672,680,687,698,709,712,722,731,738,746,757,765,777,782,793,802,810,820,824,833,848,853,858,871,881,888,894,904,915,919,931,935,944,955,964,970,980,989,1000,1008,1012,1021,1029,1043,1051,1053,1069,1075,1079,1090,1096,1113,1115,1125,1133,1146,1148,1163,1166,1176	0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,11,18,28,40,44,51,65,70,85,86,96,110,114,125,129,144,145,157,167,175,180,319,334,337,349,359,367,374,379,393,400,409,417,424,431,441,463,605,613,624,633,639,648,654,665,677,683,689,695,703,713,723,729,738,750,757,770,774,786,796,797,807,816,828,832,841,850,863,871,882,888,898,901,916,917,933,939,948,953,964,974,977,985,998,1008,1015,1020,1031,1044,1052,1061,1065,1078,1083,1094,1104,1112,1120,1124,1137,1144,1152,1156,1165,1173	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,11,21,27,40,45,55,66,70,78,88,97,106,113,120,133,144,149,160,167,170,189,324,327,340,347,353,368,372,382,394,402,410,415,427,430,446,460,608,611,626,631,638,652,654,667,676,679,690,698,706,716,727,736,738,750,761,770,779,787,788,805,813,820,825,836,844,852,862,870,881,884,892,907,913,918,926,935,945,951,965,976,983,989,998,1008,1018,1024,1031,1044,1046,1056,1069,1077,1080,1090,1098,1111,1114,1127,1131,1143,1154,1161,1172,1176	1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,16,22,26,38,47,54,61,68,83,88,95,105,111,125,131,140,146,157,165,178,183,319,331,336,345,356,363,372,380,390,399,404,414,426,437,442,596,609,614,623,626,635,647,655,666,671,680,690,696,706,718,721,734,740,751,761,763,775,782,792,805,813,818,823,831,840,853,864,873,876,884,896,908,912,917,925,936,944,954,964,969,984,989,1002,1007,1011,1021,1030,1038,1053,1057,1069,1075,1084,1091,1097,1106,1114,1123,1137,1143,1153,1159,1164,1175	1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,15,21,26,34,45,58,60,74,84,86,97,109,113,124,128,144,150,156,163,174,180,326,330,343,345,357,363,377,378,391,403,410,415,421,430,438,463,603,615,621,634,641,647,659,662,673,684,688,697,709,717,727,730,742,751,755,769,777,781,790,800,810,816,824,839,842,853,857,866,875,884,896,906,915,923,932,941,946,953,962,972,978,987,1001,1004,1017,1026,1035,1044,1049,1059,1064,1071,1087,1090,1096,1106,1115,1125,1133,1140,1150,1161,1172,1176	1,0,1,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,17,27,39,49,54,64,73,81,89,95,104,113,124,130,139,150,159,166,178,188,318,332,341,347,352,365,369,381,391,399,407,412,426,430,445,597,601,613,621,634,636,650,659,668,673,677,688,698,710,713,723,734,745,752,756,769,774,783,796,797,811,819,830,834,847,851,857,868,875,884,898,902,914,925,926,935,950,958,959,975,979,988,996,1006,1017,1019,1033,1037,1048,1058,1064,1074,1081,1093,1097,1108,1120,1126,1136,1146,1153,1158,1167,1176	1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
6,10,22,32,38,50,52,62,69,83,85,99,110,117,121,136,142,150,157,167,171,182,326,327,343,349,356,366,376,382,394,399,407,418,428,435,445,448,607,612,619,634,638,647,656,665,673,679,687,696,705,713,726,735,737,750,756,767,775,783,794,803,812,818,825,832,848,855,861,869,881,887,895,903,909,921,933,941,943,953,967,976,983,988,996,1009,1015,1021,1030,1036,1050,1058,1064,1076,1083,1088,1103,1106,1116,1127,1131,1139,1154,1162,1166	0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,10,18,28,36,45,53,63,75,77,90,98,107,115,119,136,144,148,156,166,178,317,322,328,342,346,356,366,377,385,391,395,411,416,423,433,439,597,603,611,621,630,639,647,653,663,673,680,687,697,705,716,723,732,741,748,756,766,772,782,794,802,807,819,827,839,840,849,857,872,880,889,893,901,914,919,929,936,943,958,962,971,983,988,1000,1003,1015,1026,1035,1037,1050,1053,1062,1073,1085,1089,1099,1112,1115,1121,1133,1146,1151,1164,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,23,29,39,47,52,65,69,83,86,101,109,112,124,135,137,148,157,163,170,201,326,329,342,351,356,364,373,380,389,398,404,413,422,436,442,597,605,615,626,627,642,647,658,662,674,679,688,695,704,715,726,735,741,753,756,765,774,785,789,797,807,817,829,837,842,855,860,869,881,886,896,903,910,917,926,939,948,956,967,969,982,987,1001,1010,1011,1026,1029,1043,1051,1056,1066,1076,1085,1088,1098,1107,1117,1123,1130,1139,1154,1163,1165,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,9,18,32,40,50,54,63,70,83,93,102,105,116,120,128,136,147,157,168,174,187,319,328,343,351,352,365,374,383,387,400,410,419,425,430,445,457,601,616,623,631,638,649,652,661,677,685,687,700,704,720,725,736,740,747,761,768,772,785,788,800,813,818,828,834,842,850,863,871,878,888,893,900,916,917,931,934,949,956,967,970,983,987,998,1007,1011,1022,1028,1043,1048,1053,1068,1074,1084,1094,1100,1108,1119,1124,1130,1140,1150,1163,1169	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,23,30,41,43,59,64,68,78,90,98,106,117,121,135,138,148,159,166,171,181,321,328,343,347,359,367,371,383,390,401,408,414,428,433,444,596,606,614,618,630,642,648,658,668,670,677,693,703,708,720,725,729,745,751,757,766,777,783,793,800,811,821,823,838,840,849,861,868,877,888,895,906,915,918,926,940,948,958,961,972,980,991,993,1009,1013,1027,1032,1040,1050,1053,1067,1078,1086,1094,1104,1105,1115,1123,1130,1143,1149,1159,1171,1177	1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,19,28,38,48,51,62,75,81,89,94,104,116,126,132,141,152,160,165,172,183,318,334,335,349,359,362,375,382,390,399,408,420,421,430,446,598,606,609,626,627,636,651,656,662,671,683,693,698,706,712,722,732,737,753,755,770,775,787,795,797,811,822,826,837,843,855,861,868,879,884,897,904,909,917,927,938,945,954,965,969,982,992,996,1003,1015,1027,1033,1036,1046,1057,1063,1073,1083,1093,1101,1111,1113,1124,1137,1141,1155,1160,1170,1175	0,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,10,22,25,36,48,57,64,71,83,87,96,106,115,122,129,138,149,159,170,173,316,322,328,340,346,356,363,376,384,394,396,408,417,424,434,442,453,608,612,621,630,638,645,652,661,674,685,692,703,707,714,720,736,740,746,754,769,779,786,791,803,806,820,831,834,842,848,858,870,876,889,898,906,916,918,929,940,943,957,960,976,984,992,995,1006,1015,1021,1031,1037,1048,1054,1066,1075,1086,1094,1098,1106,1116,1122,1132,1142,1148,1158,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
8,14,18,27,39,44,55,67,70,83,92,94,107,114,127,133,140,146,159,164,171,186,324,327,340,351,352,362,371,380,390,403,407,415,427,436,445,596,602,610,619,629,636,651,657,666,671,678,687,702,704,719,720,731,742,749,760,764,774,785,793,800,814,821,823,838,842,855,860,871,881,885,899,905,913,920,929,939,947,958,966,974,980,990,999,1003,1017,1023,1030,1043,1047,1056,1069,1071,1083,1094,1104,1105,1117,1127,1131,1140,1153,1159,1169	0,0,1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,25,28,36,48,55,67,69,85,86,97,104,118,119,135,144,146,161,169,175,317,323,332,343,348,355,369,375,384,388,396,405,415,428,433,438,599,605,616,618,629,643,647,657,664,674,679,693,697,704,717,724,733,745,751,755,767,776,783,795,800,810,815,827,838,847,851,863,868,875,883,893,906,915,921,932,940,947,952,965,976,982,992,999,1006,1017,1027,1029,1043,1051,1054,1065,1073,1086,1094,1098,1111,1114,1122,1130,1140,1152,1159,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,21,29,38,50,51,62,75,79,88,97,104,116,122,132,142,150,162,165,174,317,325,329,338,349,356,368,374,383,394,403,411,413,426,431,440,597,607,611,621,634,635,647,658,666,670,684,687,701,708,716,725,731,743,752,762,768,772,781,790,797,809,816,826,832,843,848,865,870,878,884,892,904,914,917,928,940,949,956,968,969,977,988,995,1006,1018,1023,1035,1039,1051,1060,1064,1076,1081,1088,1102,1106,1114,1124,1133,1139,1150,1164,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,19,32,42,50,56,63,70,81,92,102,110,116,121,129,137,153,158,165,179,317,320,328,343,350,355,368,373,382,390,402,405,414,425,433,438,599,605,611,619,634,635,645,659,664,672,679,687,701,707,715,725,735,740,750,757,770,771,788,791,803,808,818,824,832,845,855,861,867,880,890,897,899,910,919,927,939,945,952,963,969,982,992,998,1004,1015,1020,1028,1043,1050,1062,1069,1073,1080,1089,1098,1105,1116,1126,1131,1144,1150,1161,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,23,28,36,44,58,65,68,83,92,95,102,119,122,128,144,148,154,169,171,315,321,330,338,347,353,366,372,384,393,395,410,415,420,437,444,457,603,611,625,633,640,644,659,663,671,679,689,699,708,718,728,732,744,751,760,768,775,787,795,801,806,820,824,839,844,851,859,873,875,883,894,907,911,918,927,934,948,957,966,972,984,988,1001,1010,1014,1023,1029,1040,1047,1056,1064,1073,1082,1093,1100,1111,1115,1122,1135,1146,1148,1164,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,32,35,46,58,61,69,81,89,95,105,115,125,131,137,151,160,168,170,318,325,329,341,344,356,366,377,381,388,397,411,413,426,429,439,597,601,611,623,628,642,647,654,661,677,678,693,700,707,720,725,731,741,749,756,766,773,784,794,800,814,816,824,833,848,855,861,866,877,886,891,907,909,917,928,941,947,956,961,974,976,991,995,1006,1019,1025,1028,1037,1048,1060,1064,1078,1080,1088,1102,1110,1117,1125,1131,1139,1154,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,32,37,48,54,60,71,79,87,101,105,116,124,129,139,152,156,170,173,315,325,333,338,349,358,367,375,379,391,395,409,412,428,434,444,455,608,616,625,632,642,649,656,665,676,685,690,700,708,715,726,736,738,747,755,766,775,787,797,803,806,820,823,836,845,855,862,869,877,887,896,904,910,919,926,934,947,958,961,975,980,992,1001,1004,1016,1020,1030,1036,1045,1058,1068,1078,1081,1090,1097,1110,1116,1129,1132,1145,1150,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,18,27,35,50,51,60,69,78,88,101,105,111,126,131,137,145,157,162,173,316,326,330,337,351,355,365,377,386,389,396,407,412,428,434,444,465,601,615,624,634,640,645,652,666,674,685,693,698,705,719,727,735,737,750,755,765,778,783,796,799,814,818,829,833,846,856,863,868,878,885,898,905,916,921,925,938,946,951,967,969,983,992,996,1004,1011,1024,1033,1042,1052,1059,1066,1072,1079,1096,1102,1108,1114,1126,1132,1141,1148,1156,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,23,27,41,44,54,67,76,80,91,98,109,114,127,130,138,151,156,164,171,315,324,331,341,346,356,369,370,385,392,399,403,414,421,435,438,461,603,610,621,630,639,644,660,665,671,683,686,703,711,719,724,732,738,746,757,769,773,780,795,799,812,814,824,831,841,853,862,872,874,885,892,903,909,917,932,939,950,951,965,974,983,993,995,1006,1014,1027,1034,1040,1045,1061,1063,1077,1085,1093,1100,1107,1114,1126,1130,1146,1152,1162,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,17,27,39,46,51,61,72,77,92,101,104,118,121,134,142,152,159,167,176,183,325,331,341,344,355,361,369,378,390,395,408,414,423,431,443,597,606,611,619,634,640,649,658,667,677,683,694,700,707,719,721,735,743,749,761,763,774,784,796,798,810,820,830,834,848,855,858,872,879,887,898,906,913,920,933,941,948,956,963,975,980,988,1002,1009,1013,1026,1029,1040,1047,1060,1066,1074,1080,1094,1101,1108,1114,1125,1138,1142,1154,1160,1166,1176	1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,9,22,30,35,49,51,65,75,84,85,101,105,112,126,129,144,150,154,165,179,317,326,327,339,349,353,366,374,386,389,403,404,418,421,434,443,596,608,617,621,634,637,646,660,665,676,684,694,700,704,713,728,732,739,751,755,766,779,787,792,803,810,817,828,835,842,851,858,872,879,890,894,902,916,925,930,936,950,957,961,975,980,991,994,1008,1015,1020,1030,1038,1049,1059,1067,1077,1080,1094,1102,1110,1113,1126,1133,1146,1147,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,33,35,43,59,67,71,79,88,94,105,114,124,130,139,148,161,165,174,315,319,330,336,347,357,361,376,383,392,399,403,420,421,433,442,447,606,615,622,634,637,651,652,666,674,679,692,695,710,719,725,732,742,749,760,767,776,782,795,799,813,817,825,840,843,849,863,870,874,885,893,902,916,923,930,941,949,953,967,969,980,992,999,1009,1016,1021,1030,1042,1047,1061,1066,1076,1080,1088,1103,1105,1119,1124,1133,1142,1148,1159,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,25,28,35,43,53,62,72,83,92,93,105,111,122,130,143,146,161,163,171,318,322,333,342,349,356,361,377,379,394,398,410,418,424,433,440,468,606,610,621,628,637,651,652,663,675,679,693,700,707,720,728,733,740,753,758,765,778,784,790,800,814,820,827,838,847,851,864,873,874,886,894,902,910,917,927,935,948,956,963,973,980,990,1001,1006,1011,1022,1033,1041,1050,1054,1065,1078,1083,1092,1103,1107,1121,1126,1134,1139,1150,1160,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,20,27,37,49,57,66,73,78,92,102,109,115,124,130,143,148,154,169,178,317,319,333,343,344,354,369,377,385,387,400,408,415,422,431,441,600,605,615,624,634,636,645,656,668,676,685,692,697,708,713,725,733,744,748,757,765,776,784,792,801,809,822,826,834,843,856,864,868,876,886,899,905,911,919,932,941,948,954,964,968,976,986,999,1005,1016,1027,1031,1037,1050,1059,1064,1076,1087,1093,1098,1104,1121,1128,1137,1142,1155,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,22,32,41,50,53,63,73,81,85,98,107,111,127,130,141,152,158,167,178,193,325,330,340,349,359,367,371,380,392,395,404,415,423,429,446,598,601,613,620,634,639,648,660,662,675,684,687,695,705,718,724,735,745,746,757,767,773,787,788,797,809,818,823,831,842,851,863,866,881,887,892,905,913,921,933,942,945,953,964,975,979,992,996,1008,1015,1025,1029,1042,1050,1057,1065,1075,1082,1092,1099,1107,1115,1124,1132,1139,1152,1157,1171,1177	1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,11,25,26,41,49,51,60,70,81,85,97,110,113,126,135,141,145,156,166,174,314,321,333,343,351,358,365,370,386,390,403,411,415,426,436,440,460,601,609,619,632,638,646,655,663,670,682,687,698,706,715,727,732,743,746,760,767,771,787,795,797,810,821,827,835,841,853,863,870,877,886,891,903,910,925,932,939,943,956,965,968,983,990,998,1006,1016,1026,1036,1039,1050,1054,1069,1071,1083,1091,1099,1106,1114,1128,1137,1139,1152,1160,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,25,26,38,50,57,65,73,77,92,100,110,118,123,132,144,146,154,162,172,313,324,328,342,344,354,367,371,381,390,396,409,418,428,431,440,600,607,612,620,632,642,644,652,665,675,686,688,697,710,718,721,730,740,752,755,768,773,781,794,805,812,820,826,834,844,851,860,873,877,885,891,900,915,924,926,939,947,959,963,974,980,989,995,1009,1014,1020,1029,1037,1049,1053,1070,1075,1085,1087,1096,1112,1117,1129,1135,1144,1151,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,21,30,38,50,52,60,69,81,89,94,103,115,121,131,137,149,160,167,179,315,319,332,336,345,357,365,376,380,393,397,409,417,425,434,440,598,606,615,622,634,641,645,653,668,675,682,688,696,708,716,726,734,740,751,758,765,775,788,796,802,809,820,831,833,846,852,863,871,880,889,899,904,912,919,932,939,949,957,964,969,982,991,1001,1007,1017,1026,1029,1039,1046,1055,1068,1076,1081,1096,1101,1107,1118,1129,1131,1139,1147,1156,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,20,25,35,47,54,62,70,81,86,94,107,115,122,132,144,149,156,164,173,316,321,335,342,345,354,363,377,384,391,395,406,417,426,431,438,598,601,612,618,627,636,651,658,668,671,686,690,700,705,714,725,733,741,749,759,771,772,782,793,802,806,818,826,838,848,849,860,873,874,886,893,901,911,923,932,935,942,957,964,969,981,991,996,1009,1017,1027,1032,1040,1045,1055,1066,1073,1086,1093,1096,1105,1119,1122,1131,1146,1147,1163,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,18,27,40,49,57,60,68,81,87,100,102,113,119,135,137,151,158,168,175,315,324,327,340,350,357,368,374,386,387,402,408,415,421,436,440,600,606,612,618,629,639,648,658,661,671,679,689,696,708,716,727,733,737,752,759,767,779,786,793,803,812,818,827,836,845,852,862,867,882,888,899,907,912,923,932,941,945,955,961,969,981,986,1001,1002,1010,1023,1035,1038,1045,1060,1070,1076,1079,1095,1097,1105,1117,1123,1135,1141,1155,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,23,26,40,46,52,60,71,81,93,98,107,115,126,132,145,152,154,163,172,317,321,330,336,346,352,364,372,384,393,397,404,417,428,435,443,448,606,617,619,626,636,646,652,669,676,682,687,701,704,715,725,736,738,752,755,771,778,788,789,802,813,818,823,832,841,850,860,872,875,885,891,900,909,920,933,941,950,953,962,970,977,993,997,1008,1013,1022,1032,1042,1052,1057,1062,1074,1086,1091,1103,1110,1115,1122,1133,1143,1148,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,21,27,37,44,54,62,73,79,91,95,109,114,124,135,136,153,156,163,176,314,322,326,338,345,360,362,371,379,390,401,407,418,428,435,439,596,608,612,623,631,641,648,655,664,674,678,693,697,711,716,721,731,743,753,761,763,780,788,795,802,812,821,824,835,846,854,857,868,877,887,897,904,915,922,925,937,946,955,964,968,980,992,995,1003,1017,1019,1028,1042,1048,1055,1062,1076,1087,1095,1099,1107,1120,1123,1136,1141,1150,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,24,29,41,45,56,64,73,77,92,98,103,114,125,129,143,150,160,166,179,316,325,327,340,352,353,369,376,383,393,403,411,416,421,432,442,598,603,612,619,630,640,646,656,666,673,678,688,702,708,714,723,732,741,750,762,768,771,785,790,799,810,819,823,833,845,848,860,865,882,883,899,908,910,923,927,940,943,957,965,971,980,987,994,1004,1015,1025,1032,1041,1052,1056,1064,1076,1083,1096,1100,1112,1119,1125,1132,1142,1155,1164,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,23,26,35,49,54,59,74,81,91,97,110,112,121,134,138,148,159,165,172,315,326,327,341,348,353,367,371,384,388,402,408,417,427,431,444,458,601,613,621,628,636,648,659,662,674,683,690,697,711,718,728,734,741,746,763,769,774,786,788,797,811,822,823,832,845,851,863,868,877,889,897,902,915,921,925,942,950,957,961,970,984,988,998,1010,1016,1023,1028,1036,1048,1059,1069,1072,1082,1092,1098,1105,1121,1122,1134,1145,1150,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,27,38,46,59,60,70,79,89,101,103,119,123,130,143,145,160,170,171,316,324,328,337,351,356,367,371,382,394,400,407,414,423,435,443,459,603,616,621,627,640,644,656,660,670,684,694,699,706,714,727,737,738,753,755,766,775,782,793,798,809,817,831,836,846,849,858,873,880,884,897,907,912,921,928,936,949,958,962,974,981,989,1001,1003,1014,1023,1035,1036,1048,1056,1064,1078,1080,1087,1097,1109,1119,1122,1135,1146,1150,1157,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,20,28,36,49,53,61,71,83,85,94,109,118,122,128,136,151,153,170,177,315,318,334,341,348,355,367,375,381,392,397,404,418,421,434,445,597,606,610,624,632,635,644,660,661,670,681,689,696,707,717,728,732,738,749,759,763,777,783,789,797,813,817,826,839,842,856,861,870,878,890,897,900,911,924,932,939,944,958,959,969,978,990,996,1004,1011,1022,1031,1039,1050,1061,1065,1078,1085,1091,1098,1112,1118,1125,1134,1143,1155,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,23,26,42,49,54,66,70,80,91,101,104,113,126,129,140,147,156,166,174,314,321,330,338,347,359,362,371,383,391,403,412,414,422,436,442,471,602,613,619,631,641,644,658,668,674,685,687,700,705,720,726,734,738,753,761,769,774,782,791,802,809,815,826,837,840,851,863,866,879,887,899,906,911,922,928,936,948,953,964,971,979,985,995,1006,1012,1023,1031,1038,1052,1056,1068,1074,1084,1095,1100,1108,1113,1126,1133,1144,1149,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,32,36,47,56,62,72,84,89,97,103,118,124,136,141,147,159,167,171,197,321,335,341,349,353,366,371,385,389,398,410,419,425,437,440,455,608,611,624,629,635,647,653,669,672,682,690,697,704,718,725,730,743,749,759,769,772,780,795,804,806,815,826,832,847,854,863,870,881,885,895,905,912,920,933,934,948,953,963,974,984,987,1000,1008,1019,1026,1029,1044,1046,1061,1069,1075,1086,1095,1104,1111,1114,1126,1132,1144,1154,1162,1165,1174	0,1,0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,12,20,32,34,46,51,64,69,83,92,96,105,117,126,130,141,147,159,169,174,195,322,329,342,348,359,366,375,379,393,403,407,418,424,436,445,460,606,611,621,634,637,650,658,662,673,683,686,696,708,715,728,736,739,748,761,763,778,788,796,805,807,821,826,839,842,851,863,872,882,884,893,905,913,918,931,938,950,959,966,968,983,987,999,1003,1015,1021,1027,1044,1050,1054,1065,1075,1080,1088,1097,1111,1113,1121,1132,1146,1154,1160,1166,1178	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,13,20,32,37,47,54,65,75,83,89,96,105,113,125,132,141,148,161,164,178,180,325,334,339,350,356,365,372,380,387,401,406,414,421,434,441,599,606,610,620,631,643,644,654,662,676,678,687,695,706,716,724,736,738,754,756,765,776,785,794,802,810,815,830,832,841,851,862,871,881,890,898,900,909,921,930,938,944,955,962,976,982,993,997,1006,1018,1021,1030,1036,1047,1055,1069,1071,1083,1092,1104,1109,1117,1124,1137,1142,1150,1160,1169,1178	0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,20,28,35,45,57,60,69,80,92,100,104,117,125,128,138,153,158,164,176,181,320,334,337,346,354,367,376,384,387,399,407,413,428,431,445,597,603,612,622,634,639,649,654,662,671,679,692,702,711,714,721,735,739,746,762,771,777,785,793,802,811,818,827,834,847,851,858,873,878,884,894,902,916,920,930,936,948,955,965,970,983,985,994,1002,1015,1022,1029,1043,1052,1056,1070,1076,1086,1090,1098,1110,1118,1126,1134,1139,1148,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,12,19,28,40,46,52,61,75,81,88,94,104,115,127,128,142,153,158,168,172,192,324,332,342,344,357,365,374,382,390,402,410,417,422,430,442,459,601,611,618,633,642,643,656,662,670,684,692,700,705,719,727,737,742,753,760,764,777,785,792,800,805,822,829,836,840,851,860,872,881,883,891,905,913,918,930,940,943,954,966,972,983,992,999,1002,1018,1027,1028,1044,1046,1057,1062,1073,1084,1096,1101,1107,1115,1123,1133,1146,1150,1160,1172,1176	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
1,12,22,28,35,50,52,62,76,82,89,99,104,112,125,134,142,153,156,169,178,180,320,331,335,344,354,361,373,383,388,401,410,415,423,429,438,467,607,615,620,630,639,651,657,664,669,680,694,697,711,718,721,732,745,754,755,767,774,788,795,798,814,819,825,835,845,854,862,868,877,885,897,901,913,922,929,941,943,956,962,974,984,993,996,1002,1013,1020,1034,1038,1052,1061,1063,1071,1081,1094,1100,1107,1119,1124,1134,1145,1148,1159,1168	0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
8,12,20,33,35,43,51,61,69,81,92,96,107,113,125,128,140,147,159,165,174,197,322,333,338,352,354,365,374,385,392,401,408,412,427,434,446,449,607,614,624,627,638,651,657,663,671,681,693,698,711,717,725,730,740,753,755,766,776,786,796,798,811,814,830,834,847,853,862,867,879,885,894,904,912,922,927,935,950,955,967,976,978,985,995,1004,1017,1024,1030,1044,1053,1059,1062,1074,1083,1089,1103,1110,1114,1122,1136,1142,1149,1158,1168,1176	0,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,11,18,28,36,50,58,66,76,85,91,100,103,116,125,130,145,152,156,167,176,317,319,334,338,345,359,362,370,385,387,402,403,414,425,433,445,447,604,611,619,631,639,650,658,662,669,680,693,695,705,717,724,736,741,753,761,770,772,786,793,805,811,819,829,834,846,857,863,873,881,885,893,903,908,923,929,941,950,953,962,974,983,992,1000,1003,1016,1021,1036,1040,1050,1054,1065,1071,1081,1095,1100,1112,1117,1128,1134,1139,1152,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,28,34,49,58,60,72,83,91,99,105,119,127,134,139,145,159,165,175,317,318,332,342,351,356,367,369,378,394,398,407,414,428,429,445,597,606,610,619,631,641,647,653,665,673,678,691,702,704,718,728,731,738,749,754,765,779,787,791,801,806,815,829,837,846,851,862,871,876,886,899,903,908,921,929,934,942,951,965,968,980,991,995,1003,1016,1023,1034,1040,1046,1058,1067,1071,1087,1092,1098,1108,1119,1123,1134,1143,1151,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,33,42,44,57,64,71,85,87,97,109,111,122,129,144,147,158,166,173,317,326,332,343,348,353,361,377,381,390,395,407,416,421,429,438,597,602,615,625,626,637,644,654,665,675,682,689,700,706,717,728,735,738,752,755,768,777,787,794,800,810,822,826,840,846,853,858,874,875,884,891,906,916,921,930,934,946,958,964,972,982,985,998,1003,1013,1023,1028,1042,1051,1056,1064,1078,1086,1092,1096,1107,1118,1124,1138,1145,1155,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,30,41,45,53,60,69,81,93,99,107,118,124,131,139,148,157,165,172,313,322,334,339,350,354,365,377,381,389,396,410,413,422,437,442,470,606,615,618,631,635,651,656,664,676,686,693,694,711,715,722,730,741,747,758,769,777,780,795,805,809,822,831,837,843,851,861,867,875,886,893,906,909,916,929,936,942,955,965,970,982,985,998,1010,1013,1020,1031,1044,1046,1056,1062,1078,1082,1091,1103,1108,1116,1125,1136,1143,1150,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,25,31,42,50,59,62,74,77,86,94,109,113,121,133,142,152,156,163,177,316,325,330,337,347,355,366,370,379,388,402,410,419,427,430,442,599,607,611,625,634,639,648,658,667,677,683,691,694,707,719,723,735,746,750,763,768,772,788,792,803,808,817,828,838,842,854,861,871,879,884,895,901,909,923,930,940,947,955,965,974,982,992,1002,1007,1016,1021,1029,1041,1049,1056,1070,1073,1079,1092,1099,1109,1115,1126,1131,1142,1151,1156,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,27,38,48,55,60,69,78,88,96,108,116,121,132,142,147,159,169,178,318,321,335,343,345,355,369,373,383,392,402,405,418,424,434,442,600,602,609,622,627,635,651,656,665,672,683,686,697,709,712,723,732,739,746,756,768,772,781,789,803,806,817,827,837,842,850,858,872,874,884,895,904,915,920,930,939,949,956,964,969,983,993,996,1009,1018,1021,1035,1040,1048,1054,1069,1078,1084,1096,1103,1108,1119,1125,1137,1146,1154,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,32,41,48,56,66,74,84,93,100,102,118,127,129,139,153,158,167,177,313,322,331,336,347,354,367,371,385,392,398,409,412,421,433,443,447,601,611,623,631,643,646,653,661,673,677,689,699,707,713,726,733,738,746,762,769,774,782,793,797,807,819,826,837,843,852,858,871,882,885,895,905,913,925,931,942,947,957,963,969,981,993,994,1003,1018,1024,1032,1042,1051,1060,1065,1077,1079,1096,1101,1107,1120,1126,1135,1142,1153,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,17,32,37,47,57,61,68,81,88,95,106,116,121,129,138,152,161,169,172,313,318,334,336,349,355,365,370,380,393,399,407,415,424,431,444,450,601,614,623,629,636,650,659,662,674,680,694,702,704,716,727,729,742,753,757,765,778,781,795,804,806,817,829,834,843,853,857,872,877,884,897,904,908,919,933,935,946,955,963,976,980,987,1002,1005,1014,1024,1034,1036,1051,1056,1065,1076,1079,1096,1097,1107,1121,1123,1130,1141,1149,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,30,40,49,55,67,75,83,87,96,104,118,121,134,144,149,158,162,175,316,318,330,343,344,356,364,376,384,395,399,409,419,426,430,443,462,608,610,625,628,635,647,653,666,671,684,687,701,706,719,723,731,739,746,760,767,778,781,791,803,814,816,824,839,843,856,864,868,876,886,895,901,910,921,929,942,947,959,963,969,977,988,1002,1007,1012,1020,1031,1038,1051,1061,1066,1078,1081,1089,1103,1106,1119,1128,1136,1145,1153,1160,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,25,35,44,56,61,75,77,86,94,110,116,126,136,138,151,156,170,171,315,319,329,337,347,357,363,373,383,394,403,411,415,424,429,443,456,609,615,622,632,639,645,659,667,675,678,690,702,703,715,725,735,741,753,761,765,777,784,789,798,807,821,827,838,844,850,858,873,878,883,893,901,915,923,928,935,943,955,963,974,985,988,995,1006,1017,1026,1029,1041,1052,1059,1062,1073,1079,1088,1102,1106,1113,1129,1132,1143,1150,1160,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,29,38,44,53,67,72,79,88,98,108,117,120,134,138,145,156,164,171,318,324,334,341,348,357,367,377,385,393,400,409,416,421,434,446,468,608,617,624,628,635,647,652,668,676,679,689,698,709,713,722,729,743,749,756,766,776,783,797,805,809,817,829,837,846,848,862,870,882,889,897,907,910,916,926,939,948,958,963,972,978,990,998,1009,1018,1019,1031,1042,1050,1059,1062,1078,1084,1095,1098,1108,1113,1129,1131,1147,1153,1161,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,21,33,39,46,58,65,71,80,92,96,108,111,122,131,143,147,156,163,171,316,322,329,339,350,357,361,373,382,386,399,404,415,422,430,440,454,608,616,626,633,637,647,653,667,675,678,689,698,707,714,722,736,739,746,761,764,773,781,795,805,810,821,831,840,842,850,858,870,874,889,895,906,909,923,927,938,943,955,966,971,980,990,1001,1003,1017,1026,1031,1044,1053,1058,1065,1071,1087,1095,1103,1109,1114,1129,1135,1139,1151,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,17,31,35,45,59,66,72,80,89,99,107,115,122,133,139,149,156,167,173,315,319,328,335,346,352,365,370,386,389,396,404,413,427,430,443,463,606,615,620,629,640,646,658,662,671,686,689,697,711,719,726,730,740,750,756,768,773,787,793,797,810,818,830,838,848,855,863,869,880,884,899,900,910,918,931,934,946,953,964,968,978,988,994,1009,1018,1024,1033,1040,1051,1054,1070,1076,1086,1092,1097,1105,1115,1128,1137,1143,1147,1162,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,20,28,41,45,56,60,70,84,90,98,103,112,122,130,144,151,154,170,177,314,323,335,341,351,355,368,373,379,391,396,411,417,424,430,443,467,609,615,623,631,635,647,653,662,670,683,690,697,706,713,721,731,743,751,755,770,776,787,795,802,809,815,827,838,843,854,857,866,876,885,898,903,916,922,933,934,943,955,962,973,983,987,1000,1006,1013,1026,1034,1037,1053,1061,1066,1077,1081,1095,1097,1106,1119,1123,1131,1145,1153,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,21,29,41,49,55,65,69,80,90,100,107,117,122,134,140,150,159,168,178,316,321,334,335,347,357,364,373,385,391,402,404,415,428,430,441,471,600,616,619,628,635,644,658,664,675,683,694,697,711,713,724,730,740,751,756,764,772,782,793,801,813,815,827,836,842,850,859,867,879,883,898,904,911,924,929,942,943,955,964,973,984,985,997,1009,1011,1027,1030,1039,1050,1054,1067,1075,1081,1088,1102,1109,1118,1127,1131,1142,1152,1163,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,23,29,42,45,55,66,73,79,89,100,108,117,124,129,140,152,159,163,176,315,325,331,338,344,355,368,373,378,388,396,405,414,429,437,441,459,601,617,623,632,642,645,657,662,673,684,694,695,707,716,721,732,744,746,760,768,771,782,794,798,807,818,826,834,841,855,859,869,874,889,899,907,908,918,928,941,943,957,967,976,981,989,1001,1005,1018,1027,1032,1044,1048,1061,1066,1072,1081,1091,1097,1113,1119,1128,1134,1145,1147,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,25,32,38,50,54,66,68,82,86,101,109,116,122,133,138,151,155,168,174,316,324,332,339,350,359,368,377,384,389,399,407,418,423,430,439,467,608,609,624,632,635,647,655,660,669,678,692,699,707,712,723,737,739,752,759,766,772,788,791,801,812,816,827,833,846,849,863,865,882,889,893,907,909,919,925,939,945,956,966,969,984,992,1002,1004,1011,1026,1030,1039,1047,1054,1065,1070,1080,1095,1103,1110,1118,1126,1136,1143,1156,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,30,36,49,57,67,75,84,91,97,109,117,121,136,139,150,160,166,172,315,319,334,339,346,360,361,376,380,393,395,404,415,428,430,440,599,608,611,618,626,641,647,657,666,675,680,690,697,711,718,726,737,745,752,761,767,779,783,794,803,806,815,829,833,842,850,864,870,874,890,891,908,909,916,928,934,944,955,966,969,981,988,997,1008,1016,1022,1028,1038,1051,1059,1064,1071,1085,1093,1098,1108,1120,1126,1137,1141,1148,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,26,34,49,59,66,72,77,91,100,108,112,122,128,137,147,161,162,175,314,324,335,341,344,354,366,375,386,393,403,408,418,428,437,445,599,603,611,623,630,639,647,652,665,674,678,692,699,709,719,725,730,739,748,757,767,775,784,794,798,806,814,827,837,847,852,865,869,876,885,898,901,912,921,927,938,951,958,962,970,979,987,995,1002,1011,1026,1030,1043,1046,1061,1068,1072,1079,1093,1101,1109,1120,1123,1136,1140,1152,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,18,31,35,46,57,61,75,78,90,99,109,117,120,131,136,151,160,168,173,316,321,333,342,349,358,367,372,381,393,395,407,413,428,437,443,599,606,615,622,628,637,650,654,665,670,683,690,699,708,719,725,731,739,746,757,769,775,784,789,797,814,818,825,833,840,848,861,866,881,885,894,900,911,921,931,940,949,953,965,970,976,987,996,1002,1014,1022,1032,1039,1045,1058,1064,1071,1084,1091,1104,1106,1115,1125,1135,1140,1148,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,33,39,49,54,66,72,83,87,100,107,113,123,129,143,149,160,168,175,316,323,334,338,348,357,361,374,380,393,403,411,415,424,432,443,597,601,617,624,629,636,646,654,664,676,683,692,698,706,712,721,736,741,753,756,771,776,785,795,798,814,818,829,835,840,856,863,870,875,887,896,904,913,925,929,937,948,952,968,974,977,988,996,1008,1012,1024,1034,1040,1052,1061,1065,1071,1086,1088,1098,1113,1117,1129,1138,1144,1155,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,30,40,49,54,60,74,80,90,94,107,113,122,131,137,146,156,164,176,314,321,331,340,344,360,365,371,383,390,395,409,419,421,435,444,599,609,615,625,632,642,648,659,669,675,681,692,696,710,718,725,729,744,748,762,764,778,788,794,801,813,816,828,835,841,850,864,866,876,884,899,903,909,919,929,937,950,958,960,969,984,989,1000,1008,1013,1025,1034,1037,1048,1061,1063,1076,1082,1096,1097,1113,1120,1125,1131,1140,1154,1157,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,27,41,47,58,63,73,79,86,94,104,116,123,136,142,152,155,169,177,316,318,334,341,349,354,364,377,379,392,395,411,420,424,434,438,447,604,615,620,628,635,650,656,664,672,679,688,700,710,714,725,733,745,746,760,768,773,783,792,803,810,815,826,832,840,854,859,868,877,887,898,899,911,925,933,938,949,958,967,974,979,987,996,1003,1016,1024,1029,1039,1048,1053,1067,1070,1083,1088,1102,1112,1120,1127,1138,1139,1149,1164,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,23,29,36,48,54,68,75,80,85,98,108,116,123,133,143,147,161,170,175,313,320,334,338,346,354,364,371,380,394,402,406,417,428,433,439,471,606,615,621,627,641,644,652,664,675,679,692,700,709,715,723,730,738,748,762,765,774,787,790,799,809,817,823,835,844,856,860,869,879,886,895,903,913,919,930,939,946,958,960,974,984,991,993,1008,1017,1025,1034,1039,1052,1057,1068,1077,1081,1090,1097,1107,1120,1128,1130,1143,1152,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,26,39,48,59,63,71,82,90,99,105,118,119,129,141,148,153,170,174,317,322,331,337,346,360,363,372,383,388,398,411,415,428,435,441,596,604,611,622,628,640,649,654,665,670,684,687,695,707,716,728,730,745,753,761,766,771,786,793,801,814,818,831,839,842,854,862,870,877,885,897,902,911,919,933,941,943,954,966,970,978,991,996,1002,1012,1022,1029,1036,1051,1053,1065,1072,1079,1088,1103,1108,1119,1126,1137,1139,1152,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,30,41,48,53,67,70,83,88,99,105,112,122,134,138,153,154,169,176,316,321,327,343,345,359,365,374,384,386,400,407,412,422,433,443,461,603,617,619,630,642,645,653,666,676,682,688,702,705,715,721,730,740,749,761,763,771,786,790,804,814,820,824,835,843,855,864,867,874,882,895,906,916,919,926,940,942,952,960,973,978,989,1001,1007,1011,1024,1035,1042,1045,1061,1065,1072,1079,1093,1098,1112,1121,1129,1138,1147,1150,1163,1173,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,25,30,35,49,55,61,69,80,90,99,108,112,124,131,142,148,161,164,170,313,325,329,340,345,357,362,370,380,388,398,407,418,424,431,444,597,608,612,623,627,639,649,656,664,669,685,690,697,711,716,723,730,740,751,760,763,776,787,796,798,806,816,830,836,843,852,862,869,881,884,898,906,911,921,929,939,948,954,963,971,984,989,997,1009,1014,1022,1031,1044,1046,1060,1065,1072,1084,1093,1101,1111,1114,1130,1138,1144,1148,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,19,29,38,42,52,65,74,81,93,94,109,118,125,132,143,150,156,162,178,314,319,334,342,346,353,368,377,383,389,402,406,417,420,431,438,460,605,615,626,633,638,650,654,663,672,685,687,699,708,717,728,733,745,747,759,767,772,784,794,802,806,821,824,839,847,851,861,869,877,884,891,903,914,919,927,936,942,956,960,968,978,990,997,1005,1012,1023,1030,1041,1047,1059,1068,1074,1084,1090,1104,1112,1117,1128,1134,1145,1153,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,22,30,36,43,56,67,71,82,86,98,106,115,121,133,137,148,156,162,174,316,322,330,335,351,357,369,371,379,391,398,407,415,423,436,443,447,604,613,621,631,641,647,652,664,676,678,692,700,707,719,722,733,738,748,762,769,777,786,794,798,813,816,826,835,844,856,864,866,881,888,898,906,908,924,929,935,950,954,961,968,980,991,997,1005,1017,1025,1030,1044,1048,1056,1064,1077,1081,1092,1100,1112,1115,1125,1135,1146,1148,1156,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,33,39,47,59,62,71,84,91,102,109,117,127,136,144,152,158,169,178,315,323,329,343,345,355,367,371,381,386,400,405,413,425,430,445,599,608,616,618,626,640,651,656,660,670,680,694,697,710,715,722,731,738,749,760,769,775,782,790,803,811,814,829,832,842,848,865,873,879,884,896,903,916,921,926,940,949,956,967,969,979,993,1000,1006,1013,1019,1029,1038,1053,1059,1063,1078,1084,1094,1096,1107,1114,1122,1137,1140,1153,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,24,30,35,47,51,60,71,84,90,98,102,117,120,131,136,152,155,168,172,313,320,328,341,345,356,367,372,381,389,402,404,420,423,433,444,597,602,611,623,626,638,647,657,664,673,681,692,698,705,719,728,737,740,748,757,763,775,780,794,805,808,817,824,839,840,849,858,866,881,886,898,900,912,917,932,934,950,955,962,975,981,986,997,1009,1014,1019,1033,1040,1050,1054,1062,1076,1086,1094,1097,1108,1120,1122,1133,1147,1155,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,32,38,50,54,60,71,81,92,94,107,116,120,130,140,150,155,164,173,315,319,335,341,348,356,363,370,382,390,396,405,418,423,436,445,600,607,610,621,633,642,651,657,662,675,684,694,699,709,711,721,730,742,751,761,764,772,780,795,805,811,816,824,839,842,852,860,872,880,884,893,908,910,922,928,935,945,951,960,968,983,990,996,1002,1014,1022,1032,1040,1048,1061,1063,1074,1087,1089,1102,1111,1121,1128,1138,1145,1151,1161,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,26,34,48,55,60,75,82,90,95,102,112,127,131,143,148,157,169,177,315,318,329,337,345,355,368,375,381,389,402,411,417,421,436,444,600,606,612,622,630,638,649,656,668,670,681,686,702,705,715,725,735,741,753,760,767,775,780,789,805,807,815,828,833,845,848,864,865,877,883,894,900,915,917,925,935,944,954,967,974,980,988,1001,1004,1015,1025,1032,1041,1047,1054,1069,1077,1084,1095,1098,1109,1119,1125,1133,1144,1151,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,21,27,39,45,56,65,74,77,91,94,107,118,127,132,144,146,157,167,172,317,323,334,336,344,354,365,377,378,393,397,404,417,423,432,439,598,604,610,622,630,641,648,659,663,670,681,691,696,704,716,725,732,740,749,754,764,778,782,793,801,812,819,830,836,846,851,863,867,879,886,898,907,912,924,925,939,945,959,967,970,984,985,998,1003,1019,1026,1033,1043,1045,1057,1064,1071,1080,1090,1098,1107,1119,1130,1137,1146,1147,1162,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,19,25,40,44,53,67,72,84,90,99,103,119,122,134,141,145,159,168,173,315,320,328,343,345,356,362,373,381,394,400,412,415,424,431,442,463,606,617,619,631,641,643,652,669,672,686,691,695,707,718,723,735,745,751,757,769,774,786,791,805,808,819,827,832,842,850,857,869,874,884,893,905,909,925,928,935,948,952,966,975,980,992,996,1006,1012,1020,1032,1037,1046,1060,1064,1071,1085,1089,1101,1110,1115,1124,1135,1145,1154,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,29,38,46,57,66,68,84,88,100,103,114,122,134,136,148,158,164,173,316,319,334,341,351,358,368,373,384,394,397,405,416,423,435,441,599,604,611,619,629,642,651,654,664,676,680,688,700,707,712,727,730,743,750,756,766,773,787,796,801,808,822,831,836,846,851,860,873,875,883,898,903,916,919,933,941,950,951,966,973,979,985,1002,1007,1010,1020,1033,1038,1047,1058,1066,1072,1084,1088,1099,1110,1115,1128,1132,1141,1155,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,17,26,41,49,58,67,70,78,91,100,102,115,124,128,140,146,161,166,178,316,326,331,343,344,354,361,374,384,391,396,406,414,425,430,438,599,605,614,622,632,640,651,656,664,675,681,689,700,706,714,726,736,740,749,755,764,778,787,789,801,809,819,823,837,844,855,864,866,878,890,899,906,914,917,931,940,946,954,963,975,978,989,994,1007,1015,1020,1030,1036,1048,1057,1065,1078,1086,1088,1104,1112,1117,1125,1136,1144,1148,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,23,30,35,49,57,62,74,79,91,94,104,117,121,129,138,152,154,166,177,313,320,334,340,348,353,365,371,380,391,403,408,416,429,430,444,453,607,613,618,631,639,646,655,664,676,684,692,701,707,717,720,737,738,752,761,763,776,783,793,805,810,817,829,838,846,854,861,870,879,884,899,906,912,921,927,942,949,954,963,972,978,993,1001,1008,1015,1025,1033,1037,1053,1056,1063,1074,1083,1091,1097,1105,1121,1128,1131,1146,1149,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,20,34,42,49,57,65,76,79,92,101,103,115,119,134,143,147,160,169,174,313,323,330,338,347,359,363,372,382,391,397,406,412,423,430,444,599,602,611,622,629,636,651,655,663,675,680,692,699,704,720,728,737,743,749,755,764,773,788,792,802,810,821,823,834,847,848,859,870,881,887,899,902,912,920,928,937,943,955,963,970,982,990,994,1007,1010,1024,1035,1041,1053,1060,1062,1075,1086,1089,1104,1109,1115,1125,1136,1142,1147,1156,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,27,39,47,54,62,76,81,93,97,104,118,121,131,138,148,157,163,173,313,318,335,341,351,352,362,377,381,389,402,411,417,427,432,442,600,608,611,626,629,642,648,657,665,673,685,694,697,705,713,726,730,737,747,761,764,778,785,794,802,811,821,825,839,843,848,865,873,874,889,894,904,911,921,927,942,946,952,964,972,978,990,999,1003,1013,1020,1028,1042,1051,1061,1066,1074,1087,1088,1098,1108,1113,1122,1131,1147,1149,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,22,28,36,48,57,66,73,84,90,94,110,116,127,135,139,145,156,168,176,316,318,332,339,350,355,361,375,381,390,399,404,418,427,435,443,463,605,611,619,627,635,649,658,664,672,679,694,699,704,717,723,733,740,750,756,764,777,786,791,803,807,819,823,835,841,856,863,866,876,884,896,902,909,924,931,941,946,955,962,973,984,988,999,1010,1011,1026,1033,1043,1047,1058,1066,1071,1082,1090,1100,1107,1117,1129,1133,1147,1151,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,17,28,37,43,54,60,73,80,91,94,108,115,120,134,138,153,158,167,172,314,326,332,341,344,352,363,373,384,392,402,405,413,422,432,441,467,605,616,621,630,641,651,653,665,677,678,686,701,711,712,725,732,741,747,762,764,778,786,789,803,811,821,826,834,843,854,862,867,874,886,894,903,908,916,930,942,944,953,963,970,980,991,1000,1009,1018,1019,1029,1044,1053,1055,1070,1072,1083,1090,1100,1107,1115,1127,1138,1143,1152,1158,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,18,34,39,48,54,64,76,81,91,95,107,114,126,135,139,145,156,166,171,316,323,332,336,351,358,364,369,379,388,395,404,413,428,435,442,452,603,614,621,629,638,650,656,665,677,684,689,697,711,714,722,736,740,751,755,770,773,788,789,801,809,822,828,832,844,856,857,866,874,882,896,902,915,924,928,940,948,958,960,972,984,990,998,1009,1013,1026,1035,1040,1052,1059,1065,1074,1086,1093,1101,1108,1114,1128,1132,1145,1154,1160,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,31,35,50,59,63,71,81,87,101,109,114,121,129,144,153,162,168,174,315,320,333,339,349,354,367,375,386,390,403,405,419,422,435,439,470,605,617,625,633,636,649,652,662,677,679,694,695,709,716,726,734,737,748,755,768,772,783,793,801,809,818,829,836,845,850,860,873,880,885,894,905,908,922,931,934,943,957,964,975,979,993,995,1002,1011,1024,1032,1040,1052,1058,1062,1076,1085,1091,1099,1108,1117,1130,1135,1146,1151,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,17,33,38,44,54,64,68,82,92,96,108,116,125,129,139,149,160,169,178,314,324,331,337,345,358,362,370,383,394,397,409,412,425,434,441,453,606,615,621,634,640,651,659,668,673,678,689,701,707,713,723,729,745,749,760,770,772,785,795,799,810,822,826,836,840,854,862,871,874,883,894,908,910,920,932,937,950,953,962,971,984,992,1000,1006,1014,1021,1032,1036,1045,1053,1065,1072,1084,1089,1104,1106,1114,1122,1138,1144,1151,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,26,41,47,51,67,75,79,86,96,106,114,120,136,139,149,159,167,177,317,325,332,338,351,353,364,376,382,393,396,411,418,427,437,445,596,604,609,620,631,639,648,652,664,674,683,688,695,709,718,723,729,742,747,756,765,772,781,794,800,807,816,823,832,848,850,861,871,878,889,893,900,914,917,931,940,946,956,966,972,983,993,994,1005,1017,1023,1032,1038,1046,1058,1069,1074,1079,1093,1097,1108,1120,1122,1136,1143,1155,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,29,40,46,58,65,73,79,89,97,104,118,122,128,143,152,160,169,178,313,325,334,340,346,358,367,374,385,391,396,408,418,422,430,439,598,606,610,623,630,638,643,654,662,676,683,687,703,708,718,727,729,742,746,763,770,772,780,792,805,807,820,825,837,844,855,860,870,877,890,897,900,915,919,926,934,943,954,965,971,983,986,993,1010,1017,1021,1032,1037,1050,1056,1067,1071,1085,1096,1100,1109,1118,1127,1132,1144,1149,1163,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,28,37,49,58,66,68,80,91,96,104,118,128,129,139,147,160,163,175,316,326,328,339,350,354,369,370,384,393,398,410,415,422,434,444,600,603,613,620,631,638,643,659,665,672,683,694,696,710,715,725,733,744,751,755,770,777,784,796,799,807,821,824,837,848,853,864,867,876,890,898,903,911,924,930,934,947,953,964,970,982,989,997,1003,1017,1023,1034,1040,1045,1061,1066,1075,1081,1089,1096,1107,1113,1126,1136,1142,1147,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,26,37,49,58,61,69,83,92,97,109,115,127,132,139,152,161,164,173,313,321,329,335,348,353,364,373,380,387,399,404,418,423,429,443,599,604,613,621,629,639,645,654,666,675,683,688,697,705,712,726,735,742,750,756,765,775,782,790,805,812,817,825,839,846,856,858,869,874,884,896,905,910,919,928,934,950,955,960,975,978,991,1000,1005,1010,1019,1032,1040,1050,1060,1066,1076,1081,1091,1099,1105,1115,1128,1130,1144,1147,1158,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,25,32,34,44,56,63,70,77,91,96,106,119,121,131,140,151,159,168,173,314,322,328,341,351,354,364,373,383,389,398,410,419,425,431,438,596,607,613,624,633,641,651,654,661,671,678,692,700,711,712,726,734,740,749,758,766,775,784,796,798,807,816,824,837,840,851,864,872,879,884,897,904,914,918,926,937,947,958,967,973,977,986,995,1005,1011,1026,1029,1040,1051,1061,1063,1074,1087,1090,1100,1110,1120,1124,1133,1145,1150,1158,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,33,35,49,58,63,72,76,90,97,110,113,127,134,139,147,158,163,177,313,320,328,339,344,360,361,377,378,394,398,409,413,426,431,439,465,606,610,619,630,636,643,658,662,671,686,691,695,706,716,723,731,742,753,755,771,774,788,796,799,809,818,830,833,847,855,859,872,881,884,898,908,909,920,930,938,948,953,964,976,981,987,995,1004,1014,1024,1032,1038,1052,1057,1065,1076,1081,1091,1096,1107,1121,1125,1134,1145,1147,1156,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,28,36,49,59,66,70,81,89,99,104,114,121,130,137,150,155,169,174,313,323,331,338,348,352,368,371,378,389,395,410,418,421,431,438,596,609,614,621,633,643,650,658,661,674,679,692,701,708,712,728,737,738,747,762,764,777,784,793,805,810,820,829,835,841,854,860,873,877,885,894,903,909,923,928,938,944,959,966,974,977,991,998,1008,1017,1019,1029,1038,1046,1059,1066,1071,1084,1089,1103,1111,1121,1128,1131,1140,1148,1160,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,17,28,37,50,58,67,73,82,85,94,107,119,126,130,138,147,153,164,175,313,321,328,340,352,357,361,372,384,393,398,410,418,424,430,440,468,608,617,623,632,638,643,654,667,670,684,690,700,704,717,725,731,744,746,755,767,774,781,794,805,807,815,826,839,847,854,862,870,875,885,897,904,909,919,926,940,946,958,965,974,981,990,995,1003,1015,1025,1029,1036,1048,1059,1068,1070,1080,1094,1103,1109,1120,1122,1137,1143,1152,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,24,26,36,43,56,60,74,79,89,97,106,113,120,135,143,149,158,169,176,314,324,328,341,344,360,361,370,383,392,398,405,416,424,431,438,600,608,609,620,630,636,643,659,660,673,682,690,702,703,713,727,735,741,747,755,771,778,786,793,798,807,814,828,836,842,856,860,873,880,887,897,900,916,922,932,936,947,954,965,970,977,991,998,1004,1012,1027,1034,1042,1047,1055,1064,1072,1081,1089,1102,1111,1120,1125,1131,1143,1154,1164,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,31,41,44,55,63,73,80,89,98,110,116,127,134,142,148,154,167,176,313,324,328,338,351,360,362,377,379,387,403,407,415,428,437,438,596,605,616,625,634,639,646,659,668,676,681,687,699,711,717,726,733,740,752,757,763,777,784,788,801,806,819,829,839,840,851,865,869,877,884,895,904,909,918,927,940,945,955,960,972,984,991,998,1010,1011,1021,1028,1042,1048,1054,1068,1074,1083,1089,1097,1106,1117,1130,1137,1147,1148,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,18,33,42,44,57,64,69,78,88,102,104,111,121,134,137,145,156,163,175,316,322,330,341,348,358,361,376,380,391,401,410,419,429,431,439,468,608,617,618,633,635,647,654,666,677,682,692,697,707,718,721,736,743,748,755,769,777,783,795,798,809,816,831,832,848,854,864,868,875,891,892,903,910,923,931,938,950,959,966,970,980,990,995,1008,1013,1025,1034,1041,1046,1057,1065,1074,1085,1089,1099,1105,1121,1124,1133,1141,1149,1162,1165,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,33,34,50,56,67,73,84,92,96,104,114,126,132,141,153,157,165,175,313,319,330,335,346,358,362,375,385,392,398,411,418,423,431,445,600,609,613,618,633,642,651,656,665,670,678,688,701,705,713,725,731,744,752,760,767,778,780,795,798,811,815,828,832,844,850,858,868,882,883,897,905,913,922,931,936,948,952,966,974,984,989,998,1008,1013,1020,1027,1042,1046,1061,1063,1076,1085,1091,1103,1112,1118,1124,1134,1139,1150,1163,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,19,31,40,49,53,62,71,79,86,99,108,116,120,133,137,152,155,167,176,315,325,329,342,347,355,365,371,378,387,399,405,419,423,437,441,598,603,617,620,634,635,651,657,666,676,686,692,699,710,714,726,733,738,750,758,765,772,785,790,801,813,821,827,832,843,854,860,874,878,886,892,901,912,924,933,935,944,957,964,972,980,986,1002,1003,1017,1027,1031,1038,1045,1054,1065,1072,1087,1089,1096,1108,1120,1127,1135,1145,1149,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,22,30,39,49,57,68,72,81,92,100,104,113,123,128,144,153,161,167,172,315,318,329,337,352,354,362,374,381,389,401,408,412,425,430,443,598,608,615,620,629,637,650,657,663,671,685,690,695,703,715,725,736,738,747,756,763,775,783,794,800,808,822,823,836,842,856,862,870,876,884,892,906,915,923,927,934,944,957,963,968,984,986,994,1010,1012,1026,1034,1038,1052,1057,1065,1075,1086,1092,1101,1106,1115,1124,1135,1141,1155,1158,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,28,41,47,54,67,73,77,93,98,103,111,123,132,140,147,155,168,175,313,319,328,337,347,353,361,377,378,393,396,404,413,428,434,446,597,602,614,619,628,643,646,657,663,671,682,688,700,711,716,723,734,741,746,760,764,776,784,796,798,813,822,829,839,846,855,860,866,877,886,897,904,908,921,931,935,948,955,963,974,981,987,1000,1009,1016,1025,1033,1038,1048,1061,1070,1076,1086,1091,1099,1110,1114,1128,1131,1144,1152,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,18,27,36,43,55,60,71,79,93,100,108,116,122,133,142,147,160,165,173,313,325,335,340,347,356,363,376,385,390,403,406,413,426,431,445,448,602,614,623,629,640,648,652,663,669,685,693,701,707,718,723,735,743,749,756,764,772,782,795,804,811,822,828,838,846,851,862,872,876,882,891,907,915,918,928,935,946,952,961,975,977,990,997,1004,1018,1022,1034,1044,1053,1055,1065,1072,1080,1094,1100,1112,1120,1122,1137,1139,1153,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,26,38,44,53,66,69,83,90,101,106,111,121,135,142,150,156,168,177,314,323,329,343,348,353,361,377,384,389,403,406,419,421,433,445,598,608,614,626,631,636,644,654,669,674,680,693,700,705,716,722,734,740,751,755,763,776,784,788,800,809,817,828,834,841,854,863,868,881,883,895,900,915,924,932,940,947,953,965,968,981,987,997,1006,1013,1020,1033,1037,1045,1056,1064,1074,1083,1092,1101,1108,1117,1126,1134,1140,1152,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,25,27,41,43,56,60,73,80,89,99,106,115,120,130,137,145,161,163,170,315,320,328,342,344,356,363,371,382,392,396,404,414,428,434,439,459,609,617,620,628,637,646,656,662,671,679,688,698,710,712,725,734,740,750,761,766,775,787,794,797,809,818,829,838,844,849,865,874,882,886,899,905,911,921,932,937,944,951,965,970,979,988,995,1002,1017,1025,1029,1038,1051,1058,1062,1075,1079,1095,1102,1105,1116,1121,1133,1146,1148,1158,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,21,27,40,49,57,67,73,83,85,97,108,112,123,134,139,150,159,164,175,315,324,330,337,348,353,363,375,378,390,400,408,418,422,435,440,596,601,613,624,629,641,645,653,662,676,681,689,699,703,712,726,730,739,749,760,770,778,780,791,802,806,816,829,833,841,848,865,866,874,882,896,906,909,923,931,936,948,955,959,971,976,987,998,1009,1017,1023,1030,1043,1048,1060,1066,1076,1085,1089,1100,1108,1116,1127,1132,1140,1149,1158,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,23,27,37,47,51,61,71,82,87,95,109,116,122,132,142,152,160,168,177,315,318,331,340,345,357,363,372,385,387,395,409,412,425,432,441,599,602,609,621,634,642,650,655,667,673,684,688,702,704,712,728,735,738,747,756,764,777,781,795,800,811,818,825,835,842,855,865,866,879,884,899,902,914,924,932,936,943,956,966,972,979,985,999,1004,1016,1020,1033,1037,1045,1058,1065,1076,1086,1093,1099,1112,1114,1129,1137,1142,1152,1159,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,28,35,46,54,68,72,77,91,100,109,113,121,130,142,153,155,164,176,315,325,328,342,349,358,362,376,382,395,397,407,415,423,433,439,600,607,617,621,628,639,648,659,666,675,681,690,695,709,712,727,730,745,748,761,770,778,782,789,802,812,821,826,837,844,853,862,868,882,887,894,905,912,922,932,934,949,957,963,976,980,993,996,1006,1017,1020,1032,1039,1047,1054,1064,1077,1079,1093,1097,1110,1118,1128,1131,1139,1149,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,17,32,40,49,55,66,68,81,86,102,103,118,122,134,141,148,162,164,176,314,320,332,340,344,355,366,373,386,389,400,405,418,423,435,440,596,605,616,624,635,639,644,659,666,671,680,692,699,709,714,727,734,739,747,762,766,779,780,793,801,808,816,823,838,841,851,861,865,876,890,892,900,916,917,926,938,945,956,966,969,977,991,997,1009,1013,1023,1031,1044,1050,1055,1063,1075,1082,1096,1103,1112,1113,1124,1135,1139,1149,1163,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,17,27,36,46,57,65,70,81,89,100,105,115,122,128,142,153,161,169,177,315,325,328,341,345,356,366,371,385,393,399,405,413,426,434,438,465,606,610,623,633,640,644,659,664,670,677,690,698,710,716,728,736,738,753,760,766,777,782,793,804,811,817,826,839,844,850,860,873,882,890,898,901,910,920,928,942,947,952,963,971,984,993,999,1003,1015,1025,1032,1040,1047,1061,1064,1072,1081,1089,1102,1107,1114,1127,1132,1145,1155,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,18,32,40,50,54,61,68,78,93,98,107,113,123,131,142,148,158,162,171,315,323,329,341,349,354,364,377,379,390,399,407,412,424,432,444,596,604,614,624,633,638,651,654,661,671,678,687,701,706,719,721,730,744,753,761,770,777,784,792,804,810,816,828,836,845,849,862,869,875,884,898,906,908,922,925,937,946,957,959,970,982,989,998,1005,1018,1020,1034,1044,1049,1058,1068,1071,1080,1090,1101,1111,1119,1125,1136,1147,1152,1162,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,18,29,38,48,58,66,69,83,90,98,104,111,127,133,142,147,160,165,176,316,319,334,336,348,352,362,370,378,393,397,408,420,422,434,441,460,602,611,620,629,642,644,658,668,669,678,689,700,710,715,722,731,739,748,762,768,772,783,795,802,810,816,823,839,841,856,860,871,875,883,896,906,912,917,929,939,946,955,963,974,982,989,1002,1007,1012,1023,1035,1037,1045,1056,1066,1077,1084,1090,1097,1110,1119,1122,1136,1140,1152,1163,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,31,34,48,53,66,68,82,91,100,109,116,126,131,143,146,159,167,173,316,325,330,339,348,360,366,375,378,392,396,407,420,428,437,443,598,605,616,618,627,641,647,654,662,670,678,692,697,711,719,720,733,745,747,760,764,777,780,796,799,811,816,828,833,844,848,860,874,875,889,898,903,908,922,933,936,949,954,963,976,980,987,994,1009,1013,1025,1033,1037,1050,1061,1064,1075,1085,1093,1104,1108,1115,1129,1132,1141,1154,1164,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,34,39,48,51,67,75,84,86,94,109,116,124,130,141,147,159,167,172,317,324,327,341,348,355,362,371,384,388,400,411,414,421,436,443,598,605,616,619,633,637,650,659,667,671,684,689,697,705,720,724,734,745,754,755,769,772,782,793,797,810,817,824,837,843,856,860,869,875,884,892,905,909,922,928,942,944,951,963,968,980,989,1001,1009,1013,1021,1030,1039,1048,1059,1064,1073,1084,1087,1100,1109,1118,1122,1138,1144,1149,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,23,28,39,50,54,65,70,77,86,97,104,118,126,131,144,148,155,170,171,317,322,330,341,347,358,361,376,381,392,403,410,413,421,434,442,462,608,616,624,630,641,644,654,664,674,678,692,698,704,715,722,734,743,750,755,763,778,782,797,801,811,815,826,833,848,852,859,868,874,884,897,904,910,922,927,936,950,959,964,976,984,988,998,1003,1012,1025,1033,1044,1048,1061,1068,1074,1084,1093,1097,1111,1119,1126,1133,1146,1153,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,28,42,43,53,68,71,80,87,97,108,111,121,133,139,151,154,169,176,316,326,331,342,344,356,367,372,383,388,397,405,413,426,436,445,600,605,611,619,633,637,645,657,664,675,684,687,695,708,717,722,730,744,749,755,770,779,783,796,805,810,815,830,833,843,848,859,872,875,884,896,905,911,919,931,938,950,956,962,971,983,985,999,1002,1013,1023,1031,1044,1045,1053,1068,1071,1086,1090,1100,1110,1115,1128,1135,1139,1155,1159,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,33,34,45,57,67,73,80,88,95,110,114,127,135,145,152,157,162,174,316,319,330,341,345,354,364,371,381,387,399,409,414,420,432,443,599,601,613,623,633,642,647,657,662,672,678,691,695,704,712,727,735,745,749,761,765,774,788,797,799,812,816,829,832,847,851,864,867,880,883,898,902,916,920,930,935,945,953,966,974,980,987,1001,1002,1017,1023,1034,1037,1046,1053,1064,1076,1084,1091,1096,1113,1119,1126,1135,1144,1154,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,25,30,36,42,57,63,69,83,90,99,105,111,122,135,142,149,159,164,176,316,321,334,343,346,353,369,374,380,394,400,404,420,424,436,444,448,604,610,621,633,641,651,655,668,672,684,693,695,706,715,724,733,745,751,758,769,778,780,793,804,807,821,828,835,843,850,859,872,881,883,892,902,912,925,930,936,946,953,967,973,981,987,994,1003,1012,1021,1030,1036,1052,1054,1067,1075,1083,1094,1100,1106,1117,1129,1131,1145,1151,1163,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,22,33,35,48,52,60,69,81,88,96,108,111,122,134,139,148,155,166,172,317,322,332,339,347,359,361,371,381,387,402,409,418,424,435,442,469,602,609,619,631,635,649,653,667,676,682,690,700,711,720,723,736,740,753,759,770,776,786,794,802,809,820,831,835,847,849,863,867,875,887,894,907,915,919,932,941,945,954,960,972,983,992,999,1007,1017,1025,1031,1038,1050,1060,1065,1077,1079,1090,1098,1111,1114,1126,1138,1146,1149,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,20,30,41,50,58,60,71,78,90,95,109,118,126,135,142,145,161,169,173,316,324,331,338,348,357,364,375,378,389,397,404,413,427,430,441,596,604,616,620,633,637,646,660,662,670,680,692,696,710,715,721,731,739,754,758,766,774,783,794,805,812,819,828,831,842,854,857,867,881,890,894,903,914,922,931,934,944,951,960,969,980,991,996,1009,1015,1021,1030,1040,1052,1057,1063,1074,1086,1088,1101,1108,1116,1126,1131,1147,1150,1158,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,21,28,39,47,54,67,71,78,85,98,106,111,123,131,140,146,156,166,175,313,320,328,343,345,358,369,376,386,392,395,404,416,427,433,445,597,606,614,625,634,638,652,653,662,675,685,694,697,711,717,724,734,738,749,760,771,773,780,791,797,808,820,826,835,841,850,864,870,876,887,897,900,914,917,926,940,948,958,963,971,980,990,998,1009,1014,1021,1029,1041,1052,1053,1067,1075,1087,1092,1104,1110,1113,1127,1137,1143,1153,1162,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,25,28,42,43,59,63,73,79,89,99,104,115,121,132,137,150,154,162,175,313,322,329,337,344,357,367,372,381,391,399,406,412,421,433,441,452,603,616,625,630,640,646,652,664,674,677,686,699,707,719,728,734,739,749,762,766,779,783,792,801,809,817,828,831,841,853,865,868,881,889,894,908,915,919,925,939,951,954,964,974,977,986,997,1005,1014,1026,1030,1041,1052,1060,1067,1071,1086,1095,1101,1112,1120,1125,1131,1140,1155,1164,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,25,29,37,45,51,68,76,80,90,94,104,115,119,129,138,149,155,168,171,314,323,327,338,344,355,365,377,379,393,400,412,420,426,436,439,596,602,611,624,633,635,644,660,663,677,685,694,701,706,713,721,735,738,751,756,766,773,783,796,804,811,819,825,834,847,851,864,873,874,884,892,905,908,921,933,934,948,955,966,973,983,989,995,1004,1018,1021,1031,1040,1048,1054,1064,1073,1080,1087,1098,1112,1118,1125,1130,1142,1149,1162,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,23,33,34,50,55,63,69,83,91,100,110,118,126,128,138,145,159,170,178,318,323,329,340,351,358,368,370,380,387,401,404,417,423,432,442,598,604,610,618,626,639,646,659,662,674,682,692,698,704,718,721,737,744,754,758,771,775,788,790,803,810,816,824,832,846,855,865,872,877,889,898,907,910,921,925,938,943,952,962,973,981,991,999,1010,1011,1024,1033,1044,1045,1053,1062,1073,1082,1093,1096,1107,1113,1130,1137,1147,1149,1158,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,27,41,48,52,61,69,84,92,97,109,117,123,129,143,145,157,170,175,179,318,334,343,349,360,368,376,383,394,400,408,420,428,433,438,467,605,617,625,632,637,650,655,663,672,679,691,695,704,719,723,732,743,751,758,769,772,785,795,803,808,815,830,839,841,850,859,870,879,886,895,904,916,917,930,941,943,956,964,971,981,988,999,1005,1018,1021,1028,1037,1045,1058,1066,1072,1082,1088,1103,1113,1118,1129,1138,1145,1148,1156,1170	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0
4,9,17,30,41,46,57,63,70,84,87,95,109,115,125,130,144,151,155,169,178,313,322,331,339,352,354,367,376,383,392,399,412,414,427,430,442,456,602,611,624,630,636,650,660,662,677,680,694,695,704,715,721,735,741,752,757,767,775,786,793,801,808,816,823,838,846,854,857,870,876,886,894,907,916,919,933,940,948,958,962,970,978,993,1002,1006,1013,1023,1034,1040,1050,1055,1068,1078,1082,1091,1102,1110,1117,1123,1137,1146,1154,1162,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,12,21,33,39,45,57,60,73,78,86,101,107,114,121,130,141,151,161,169,171,191,322,334,336,351,353,363,371,380,392,397,405,414,425,437,444,599,603,612,621,627,641,650,653,661,675,677,691,698,706,716,727,735,742,750,762,769,775,787,796,802,812,817,827,837,845,849,859,872,879,885,893,904,914,920,927,942,946,958,966,971,984,991,1000,1007,1015,1019,1034,1040,1050,1061,1066,1073,1082,1091,1102,1110,1117,1130,1135,1144,1151,1156,1169	1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,25,30,39,46,56,60,71,84,87,94,105,117,125,135,137,152,161,167,177,190,321,329,340,350,352,367,373,384,392,401,406,415,422,434,444,600,604,614,624,634,635,651,652,668,671,681,694,695,706,715,726,735,739,746,762,768,777,786,796,802,814,821,826,835,843,855,862,866,876,883,898,907,908,919,930,937,945,952,961,976,982,991,1000,1006,1011,1022,1030,1043,1050,1058,1063,1076,1087,1088,1101,1105,1115,1122,1133,1145,1155,1158,1165,1177	0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,10,17,31,40,44,52,66,68,82,86,101,108,115,123,132,139,145,159,169,175,208,318,333,342,347,354,364,374,381,390,400,407,418,428,432,438,596,602,616,623,631,642,646,657,662,676,678,690,699,709,713,720,735,741,751,762,766,775,780,792,799,808,818,830,832,843,856,858,873,880,884,898,902,914,924,931,939,944,953,960,972,978,992,995,1003,1012,1027,1031,1037,1047,1054,1062,1075,1087,1089,1103,1106,1113,1123,1134,1142,1150,1159,1165,1178	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,9,18,33,38,48,52,65,72,80,93,94,106,111,121,132,144,147,159,169,179,183,324,327,343,347,354,366,372,383,391,400,406,412,428,433,441,600,603,614,624,633,638,650,654,666,674,684,687,697,706,715,725,733,742,751,761,770,772,782,791,800,806,820,829,836,847,854,863,866,881,884,895,905,916,922,932,941,946,956,959,969,984,989,999,1002,1018,1027,1031,1037,1047,1056,1067,1078,1082,1089,1099,1107,1119,1125,1133,1141,1152,1162,1168,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,15,21,28,41,42,54,60,74,82,92,102,110,111,122,134,140,148,154,167,172,179,321,327,338,350,352,362,376,378,390,397,404,414,422,436,440,598,601,616,622,632,640,648,653,663,676,685,687,698,704,713,722,732,744,752,758,767,777,786,796,798,806,821,830,836,847,852,859,867,875,889,892,907,911,922,932,940,945,952,968,972,976,991,1000,1008,1018,1026,1031,1036,1048,1057,1064,1072,1086,1089,1097,1110,1120,1125,1138,1140,1150,1157,1165,1174	0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,15,23,29,40,42,58,61,75,77,93,94,106,111,125,133,137,146,156,164,177,181,325,328,335,349,353,369,374,386,387,397,407,414,424,429,440,596,606,610,621,627,643,652,654,668,669,680,689,700,707,713,724,734,738,754,762,769,774,787,796,798,813,815,825,833,844,853,860,867,876,891,896,906,914,918,932,937,950,958,965,973,976,990,999,1009,1014,1024,1034,1038,1046,1059,1070,1074,1087,1095,1103,1106,1118,1126,1136,1141,1150,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,19,26,41,51,54,60,75,78,91,98,107,113,124,130,145,153,161,169,179,315,323,329,336,351,356,364,370,381,391,397,405,415,424,431,438,598,607,614,618,634,642,651,658,669,675,678,689,695,704,720,724,736,742,747,755,770,774,782,789,801,810,816,828,839,844,853,858,868,877,883,891,900,916,924,933,941,945,954,964,976,978,988,994,1004,1015,1020,1030,1039,1050,1060,1066,1076,1085,1093,1101,1113,1121,1127,1132,1142,1152,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,22,28,37,46,58,60,71,81,87,99,103,115,125,135,138,149,155,167,177,313,320,330,336,345,357,362,374,381,387,397,409,416,427,433,444,456,603,614,620,628,639,645,656,664,670,685,686,695,705,714,721,735,738,749,759,766,774,781,794,802,810,816,829,837,843,854,858,874,878,885,897,904,915,917,933,934,944,956,967,971,980,985,999,1009,1019,1022,1029,1042,1052,1056,1067,1071,1084,1090,1101,1105,1119,1122,1131,1139,1153,1162,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,21,26,37,44,59,62,68,77,93,96,107,115,120,133,144,150,160,169,173,317,326,330,341,347,354,365,371,386,388,401,404,415,426,437,439,467,602,610,623,627,637,650,652,663,669,682,691,695,707,716,722,729,740,747,760,769,776,780,797,803,809,818,828,837,843,854,862,873,882,889,896,900,913,921,926,939,944,954,964,971,979,987,996,1008,1014,1021,1034,1036,1053,1060,1063,1078,1087,1089,1101,1109,1114,1122,1137,1145,1147,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,21,32,41,50,52,60,71,82,86,102,103,112,123,130,138,148,160,167,178,315,321,331,336,351,353,364,371,379,386,400,411,418,421,434,440,600,608,612,621,631,640,649,656,663,673,684,688,701,711,720,726,730,739,749,761,766,775,781,795,798,808,818,827,838,845,850,861,872,880,883,895,906,910,919,928,937,943,957,965,973,977,988,994,1008,1017,1026,1030,1042,1050,1058,1067,1071,1080,1092,1101,1106,1117,1127,1130,1143,1151,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,22,34,40,47,59,63,75,78,92,94,109,113,124,131,143,147,155,164,173,315,326,331,337,344,358,366,376,382,394,400,410,419,427,430,442,460,606,611,620,629,635,648,652,664,676,684,693,697,705,718,726,732,742,752,757,766,779,786,793,799,811,822,823,831,845,855,862,868,875,890,897,907,912,922,931,936,950,957,964,975,983,990,1000,1008,1013,1023,1028,1040,1046,1058,1069,1074,1082,1093,1104,1111,1120,1130,1134,1146,1153,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,28,42,45,56,60,71,79,86,97,104,111,123,131,141,148,157,169,177,315,321,327,337,352,353,362,370,380,390,398,407,416,427,435,440,460,605,613,624,630,637,650,654,666,673,678,689,696,709,714,721,729,745,753,757,768,775,780,789,798,808,816,831,838,846,856,863,873,881,889,894,905,915,921,930,935,944,957,967,972,980,986,996,1004,1017,1020,1036,1043,1046,1053,1065,1071,1080,1090,1098,1110,1121,1123,1134,1141,1153,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,32,38,48,55,60,76,83,87,96,110,116,125,130,138,150,153,168,175,314,321,329,341,344,352,365,374,384,393,395,408,417,425,430,445,454,606,616,619,631,640,647,652,662,675,686,692,703,707,717,725,736,745,750,755,767,780,788,793,800,807,816,831,834,846,850,859,869,875,888,894,905,913,918,930,937,950,958,965,969,984,986,997,1004,1018,1024,1031,1043,1046,1057,1065,1075,1080,1095,1097,1105,1116,1128,1135,1139,1147,1161,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,28,34,50,54,67,73,82,91,98,103,115,122,131,138,148,160,169,175,315,324,333,342,345,360,363,374,379,390,402,408,417,426,432,445,599,601,617,618,631,641,646,656,665,670,680,691,702,708,716,727,736,741,752,762,765,772,786,790,800,812,818,823,839,843,850,857,868,878,888,892,902,914,923,928,935,946,954,968,975,979,990,998,1006,1017,1023,1029,1043,1047,1060,1068,1070,1082,1088,1096,1110,1118,1123,1134,1139,1155,1160,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,28,36,45,59,66,69,84,85,98,107,111,124,129,141,152,159,164,172,192,323,332,339,347,355,366,375,384,393,397,406,416,425,431,445,468,609,614,619,627,642,650,654,664,673,678,692,700,709,718,727,729,743,749,762,769,772,788,793,803,809,815,826,836,840,853,861,873,876,883,892,901,912,917,927,937,947,957,959,973,978,989,1000,1009,1017,1026,1034,1043,1051,1060,1067,1078,1085,1094,1104,1110,1115,1123,1131,1141,1150,1158,1167,1173	0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
6,10,21,33,41,44,51,67,70,84,93,95,104,111,123,134,143,148,155,166,170,315,325,328,337,350,359,368,370,386,392,403,409,413,422,436,441,456,609,613,621,627,636,649,656,663,675,685,692,699,704,714,728,729,737,754,761,764,776,788,790,797,807,816,826,834,842,849,861,868,875,885,892,904,910,924,927,935,944,954,965,975,978,992,1000,1009,1015,1019,1030,1036,1053,1056,1069,1070,1085,1090,1102,1110,1116,1125,1132,1144,1153,1158,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,32,38,47,57,63,75,83,93,94,104,118,127,134,144,146,154,166,175,316,319,328,336,347,359,365,376,386,391,403,407,417,427,430,442,468,606,617,618,628,638,648,652,667,677,685,690,699,706,713,728,729,741,746,758,769,773,782,791,804,806,814,826,839,840,853,860,870,879,883,893,905,913,920,932,938,942,951,960,974,979,987,1001,1005,1018,1023,1036,1042,1051,1056,1063,1074,1083,1092,1100,1111,1115,1123,1134,1146,1151,1164,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,30,40,43,57,61,74,85,86,98,109,117,126,129,143,149,154,166,171,314,323,332,341,351,357,369,373,386,387,398,408,416,421,429,439,449,608,613,623,629,637,649,653,667,676,679,688,697,703,713,721,730,739,752,760,769,780,784,791,804,813,818,826,831,844,850,860,870,877,886,892,904,909,924,932,937,942,954,965,969,981,991,1000,1005,1018,1019,1031,1037,1045,1054,1062,1078,1081,1090,1102,1108,1116,1125,1134,1139,1153,1163,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,24,33,35,46,56,60,69,78,92,94,108,111,125,133,144,148,162,164,176,317,321,332,337,348,358,366,371,378,393,402,411,417,426,435,440,451,607,612,622,628,638,644,658,666,673,682,691,700,703,720,721,735,740,752,755,763,775,786,791,798,808,819,824,835,840,852,859,867,881,886,897,903,916,924,931,940,946,953,960,973,983,993,997,1003,1013,1023,1034,1037,1049,1055,1063,1073,1085,1090,1102,1107,1120,1127,1132,1144,1153,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,19,31,40,49,57,67,73,78,93,100,107,111,124,129,137,148,161,170,172,184,319,329,340,344,357,364,373,382,394,395,406,415,427,429,444,596,602,617,621,634,635,646,658,661,669,682,691,703,705,712,720,734,739,748,762,763,775,781,790,799,809,816,826,832,847,854,865,869,881,883,894,901,912,921,929,937,948,957,966,972,977,985,1000,1008,1019,1025,1032,1037,1053,1059,1068,1075,1082,1090,1100,1109,1121,1126,1132,1146,1151,1160,1167,1176	0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,22,25,36,45,55,65,71,79,91,102,109,112,120,130,144,150,161,167,179,317,322,327,336,346,357,363,375,381,388,400,410,413,425,431,442,598,609,615,626,627,637,644,655,661,677,681,686,699,707,719,721,734,743,747,755,765,775,788,797,803,811,815,824,832,845,849,863,868,877,885,899,902,916,923,928,939,946,957,963,968,978,987,994,1004,1016,1021,1031,1041,1049,1060,1070,1078,1080,1090,1098,1110,1120,1122,1136,1141,1152,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,28,38,45,57,61,68,84,87,99,102,112,123,132,142,147,161,165,175,313,319,332,338,349,354,367,376,383,388,402,411,418,421,435,443,597,605,614,619,628,638,649,655,664,669,681,691,698,707,712,724,736,745,748,760,766,773,780,793,799,808,822,823,834,844,848,861,870,875,885,895,906,915,919,927,939,947,952,966,974,982,986,1001,1008,1014,1020,1033,1038,1051,1061,1067,1072,1086,1089,1099,1109,1115,1123,1138,1145,1154,1163,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,21,33,39,47,53,65,68,85,87,97,103,113,124,129,144,153,154,164,175,317,319,334,338,349,355,369,373,386,391,396,410,413,424,436,442,453,603,616,619,634,642,647,655,664,671,684,693,695,710,719,723,731,740,749,758,764,779,788,793,798,808,822,826,832,845,849,860,871,875,890,892,900,916,919,931,935,950,956,965,972,984,989,1001,1003,1017,1024,1032,1042,1051,1054,1070,1078,1079,1091,1103,1112,1114,1124,1132,1142,1148,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,22,32,35,43,56,62,75,77,89,98,109,114,119,130,138,150,156,164,177,314,320,334,337,350,357,362,370,383,390,397,409,415,424,429,445,599,606,612,623,633,641,651,659,664,669,681,693,700,706,718,721,731,738,754,761,769,772,787,789,802,811,822,830,838,844,855,859,871,874,887,892,900,912,918,930,939,948,955,966,972,978,993,996,1004,1017,1021,1030,1041,1047,1060,1066,1072,1080,1095,1103,1110,1117,1127,1132,1144,1151,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,28,35,46,52,66,70,81,92,98,104,115,122,130,144,149,155,170,173,314,322,332,338,352,356,361,370,378,390,396,405,414,421,436,438,451,608,611,620,633,639,650,657,663,675,686,692,698,707,712,727,737,744,754,758,768,775,787,789,800,809,821,825,839,846,854,864,872,875,891,898,904,914,924,933,938,950,953,962,970,980,990,1000,1008,1011,1026,1029,1043,1046,1057,1067,1075,1086,1092,1100,1109,1120,1126,1137,1141,1155,1162,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,19,25,35,46,59,66,69,83,91,98,106,116,123,134,137,151,159,167,178,315,321,334,335,351,355,368,371,384,388,397,411,414,424,433,437,457,609,615,621,629,639,643,657,667,673,681,689,701,705,712,728,733,744,749,758,764,777,786,795,800,808,815,823,840,848,856,860,872,880,890,897,902,913,918,930,934,946,954,961,974,979,987,999,1002,1014,1025,1034,1043,1046,1054,1067,1071,1082,1095,1096,1110,1119,1122,1135,1143,1154,1159,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,19,33,36,47,51,66,68,81,92,97,106,113,120,128,139,145,156,163,175,316,323,331,339,351,358,366,377,380,394,396,411,414,427,436,440,466,601,614,626,631,639,651,654,664,677,679,691,701,711,716,728,730,744,748,759,764,776,782,791,797,812,820,824,837,844,855,862,871,877,887,892,903,908,922,932,935,947,959,963,974,984,986,995,1006,1014,1020,1033,1040,1050,1057,1065,1076,1079,1095,1101,1112,1114,1122,1136,1140,1150,1162,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,18,33,36,49,56,66,71,84,88,101,103,118,124,136,144,151,156,164,178,316,322,335,343,344,355,366,370,381,390,398,406,416,428,432,443,470,603,612,620,634,642,649,658,667,674,683,686,698,709,719,722,731,745,750,757,767,777,785,792,804,813,818,830,838,843,850,859,870,874,885,899,906,910,922,932,935,944,954,959,971,982,993,994,1004,1012,1025,1028,1040,1053,1055,1070,1071,1087,1094,1101,1105,1117,1125,1138,1144,1148,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,18,27,34,49,58,62,68,77,90,95,107,115,126,131,136,149,154,164,174,315,325,329,339,348,360,368,374,385,388,397,411,419,425,431,443,597,601,612,622,627,640,643,658,668,670,680,687,696,707,712,727,730,743,751,757,763,779,782,795,799,813,814,824,834,847,855,863,873,876,887,894,903,914,917,931,941,949,957,964,973,978,987,999,1006,1016,1022,1031,1041,1050,1059,1070,1074,1086,1095,1103,1105,1121,1123,1137,1141,1152,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,25,31,36,48,53,62,76,77,88,98,107,117,124,131,141,145,159,170,172,315,324,331,343,345,357,363,375,380,394,400,409,414,421,430,441,600,602,616,619,628,642,646,658,667,674,684,689,700,709,716,721,732,742,753,759,764,777,783,794,803,813,818,828,833,842,854,857,873,877,889,894,901,914,920,928,936,949,955,965,973,984,991,997,1010,1016,1020,1036,1042,1049,1058,1062,1078,1083,1090,1102,1105,1117,1125,1133,1141,1148,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,21,27,34,47,58,66,73,84,87,102,103,116,126,130,140,153,154,164,176,314,326,329,340,350,354,368,376,386,390,399,406,418,422,431,441,470,606,617,620,629,637,649,657,661,677,678,687,697,705,719,722,737,741,746,762,764,777,786,793,802,813,819,826,836,848,850,860,867,876,889,893,903,914,918,930,942,947,953,963,972,984,986,997,1010,1017,1027,1030,1038,1050,1055,1069,1077,1082,1093,1103,1108,1117,1127,1137,1144,1152,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,22,32,41,46,51,67,70,81,91,96,110,117,126,132,139,151,160,169,175,316,320,332,338,345,359,366,377,383,391,395,406,418,428,436,440,452,602,614,620,628,635,645,652,662,672,681,688,694,709,718,721,731,740,746,757,767,771,783,789,805,810,814,823,838,840,852,862,872,876,889,895,905,916,920,927,935,943,959,960,974,980,985,1001,1005,1016,1024,1029,1042,1049,1055,1067,1078,1079,1091,1096,1108,1117,1122,1133,1139,1148,1161,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,24,27,39,47,56,68,71,80,85,96,105,116,120,134,144,145,155,170,171,189,322,334,338,348,354,363,373,383,390,402,406,415,427,431,443,468,603,617,620,630,642,650,655,662,670,678,693,696,705,719,721,732,744,749,761,768,773,788,796,804,810,820,825,831,841,855,859,866,877,883,891,907,912,918,933,941,948,952,967,974,982,989,999,1010,1015,1021,1032,1044,1051,1061,1068,1077,1085,1092,1098,1110,1114,1123,1133,1139,1151,1160,1169,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
8,9,22,29,40,43,56,62,68,79,91,98,108,115,123,136,144,146,157,167,177,185,319,328,343,349,360,364,376,383,388,398,407,415,428,430,440,451,603,613,625,634,642,651,659,668,673,685,693,702,709,719,720,729,744,749,759,765,775,786,797,803,811,818,825,832,844,852,858,866,880,891,899,907,911,918,929,940,945,959,965,968,977,993,999,1006,1015,1023,1032,1043,1048,1055,1066,1078,1085,1087,1100,1107,1117,1128,1135,1141,1152,1159,1164,1178	0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,20,29,37,46,52,65,69,82,90,95,106,116,126,128,138,148,159,163,174,189,325,335,338,348,359,366,370,379,392,401,409,418,424,430,439,468,601,611,623,631,641,645,656,666,671,680,687,699,710,714,727,736,745,748,762,770,773,780,792,798,811,817,824,835,841,854,859,872,875,889,899,907,909,920,928,940,949,958,960,975,977,993,999,1006,1011,1026,1029,1043,1049,1054,1066,1074,1082,1091,1098,1106,1119,1125,1135,1143,1154,1158,1171,1178	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
8,9,20,34,41,45,51,62,72,80,88,94,108,114,120,128,139,145,154,167,177,186,321,326,337,345,359,364,375,382,389,397,408,420,427,435,442,599,608,612,625,628,636,645,655,664,675,678,694,697,703,717,723,735,743,750,760,766,775,781,789,798,813,818,824,836,844,848,859,872,880,883,893,901,915,921,930,938,948,959,965,971,980,989,1000,1007,1018,1023,1029,1039,1051,1061,1063,1074,1084,1088,1101,1105,1119,1124,1138,1144,1155,1156,1171	1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,15,20,31,37,48,56,63,75,84,89,101,104,113,123,129,144,147,161,167,177,180,324,328,343,347,358,362,370,384,389,402,405,416,425,433,440,466,608,613,624,628,639,650,657,661,675,682,691,701,711,718,723,729,742,753,759,767,779,785,793,802,811,820,829,836,846,848,858,867,881,887,894,902,914,918,928,940,946,952,964,968,982,989,995,1008,1011,1026,1029,1041,1050,1055,1069,1074,1086,1092,1098,1105,1117,1126,1137,1147,1149,1159,1169	1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,8,17,31,42,44,58,67,73,84,86,101,106,116,126,135,139,152,154,168,174,196,322,331,335,351,355,362,374,383,393,396,411,419,421,436,440,461,601,613,621,629,639,650,652,662,671,684,691,699,706,715,725,734,739,747,755,764,777,781,795,802,809,816,829,831,841,851,857,865,879,888,895,903,908,921,931,936,943,955,965,971,978,985,1000,1003,1019,1021,1034,1042,1046,1055,1064,1076,1083,1089,1098,1108,1114,1125,1135,1144,1151,1163,1172,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,11,22,28,41,44,57,63,73,78,91,101,105,119,121,135,138,147,155,169,171,179,323,327,339,349,357,369,371,378,394,398,405,416,425,437,442,598,605,615,624,627,635,644,653,661,670,686,689,702,706,718,727,735,744,749,759,765,779,781,793,802,806,821,828,833,848,853,858,869,878,886,896,899,910,921,933,940,942,954,967,970,984,986,995,1010,1016,1026,1033,1040,1052,1059,1070,1078,1087,1089,1101,1113,1121,1123,1138,1141,1155,1156,1169	0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,8,17,29,36,45,57,67,70,84,87,95,108,115,120,132,142,145,160,163,174,313,324,331,336,345,355,368,372,385,395,400,408,418,427,436,445,597,604,610,618,631,638,650,654,663,671,678,692,700,706,712,724,736,740,750,758,764,772,787,794,800,811,815,827,831,842,853,863,867,877,883,895,900,910,924,930,941,943,956,963,972,984,993,1000,1003,1015,1024,1030,1037,1051,1054,1067,1076,1080,1087,1096,1111,1116,1125,1134,1146,1147,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,20,33,35,45,58,65,74,81,85,95,106,117,121,134,140,152,161,169,173,315,325,333,342,350,352,366,372,382,390,397,407,420,425,430,442,460,606,616,626,631,642,648,654,665,672,678,687,701,708,716,726,736,742,747,757,763,778,787,790,802,810,814,827,836,844,849,861,868,880,888,896,902,915,919,927,940,947,954,963,968,982,988,1001,1005,1011,1025,1030,1039,1049,1055,1064,1072,1083,1092,1102,1107,1119,1123,1134,1139,1155,1158,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,22,29,42,45,55,60,73,84,89,101,104,115,123,132,144,152,161,168,178,315,323,331,336,347,352,368,373,380,386,402,407,414,422,429,439,456,609,616,623,628,638,651,652,668,676,683,693,698,707,712,728,736,738,748,761,765,774,783,797,801,812,816,825,834,842,856,862,873,879,890,899,904,910,924,926,942,947,951,960,976,981,992,999,1008,1012,1027,1030,1044,1049,1056,1067,1074,1082,1092,1097,1105,1118,1128,1137,1140,1149,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,18,26,37,47,54,61,73,77,90,98,105,111,121,135,141,148,158,162,174,318,321,329,337,344,358,366,375,381,395,400,405,417,423,434,439,597,608,616,619,633,643,648,655,664,676,679,689,703,711,719,724,735,745,747,757,765,775,785,789,801,807,816,824,839,841,852,861,866,876,890,899,907,913,923,929,940,947,958,967,973,977,993,996,1009,1018,1026,1035,1044,1052,1061,1063,1074,1086,1093,1097,1113,1117,1123,1137,1147,1152,1156,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,23,33,39,49,56,61,76,78,92,95,106,119,121,132,144,149,159,162,178,313,318,331,336,346,356,365,377,383,391,397,410,418,424,432,441,454,607,612,623,627,641,643,658,666,671,678,691,696,707,720,724,736,742,753,758,763,778,786,790,802,806,820,828,838,845,854,858,870,881,888,896,900,908,917,931,935,945,955,960,969,984,990,1000,1005,1011,1019,1029,1039,1052,1056,1066,1076,1087,1091,1099,1112,1117,1130,1133,1140,1147,1163,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,22,25,37,47,52,65,68,77,88,101,108,116,120,136,139,150,159,165,170,315,324,327,342,348,359,364,377,386,391,400,411,414,425,437,440,598,604,615,620,629,638,650,652,665,675,686,689,698,707,717,722,733,743,752,761,768,775,788,792,803,809,819,825,833,847,851,858,872,876,889,899,908,910,918,933,941,944,952,967,968,984,990,994,1009,1013,1024,1035,1037,1050,1056,1069,1078,1081,1095,1099,1112,1116,1124,1136,1142,1151,1163,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,20,30,34,46,52,64,68,81,85,101,109,113,125,130,143,150,154,165,178,316,326,328,338,348,358,363,371,383,391,395,408,414,426,432,441,598,607,614,623,632,636,650,657,662,670,685,688,703,710,719,725,729,740,750,759,763,776,783,793,802,807,822,823,831,842,850,859,866,876,890,894,907,915,917,933,934,949,952,959,972,979,985,1000,1004,1015,1021,1028,1043,1048,1061,1065,1077,1086,1095,1103,1108,1116,1123,1136,1147,1155,1159,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,31,34,49,59,63,73,83,87,98,110,117,121,135,143,149,154,166,172,316,323,334,342,351,360,362,375,385,394,400,410,418,424,437,441,597,603,616,621,628,635,647,658,669,674,678,690,702,703,712,725,736,738,746,757,768,774,781,795,802,808,820,828,835,842,856,860,871,878,889,893,904,914,920,926,941,950,951,965,973,976,993,995,1010,1016,1026,1034,1042,1049,1057,1065,1073,1083,1090,1098,1112,1113,1127,1133,1146,1149,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,22,28,39,44,56,65,69,79,91,96,109,113,127,129,138,148,162,165,170,315,321,333,340,344,359,368,370,384,387,400,405,413,425,437,442,468,603,616,620,626,643,646,660,661,670,680,687,696,704,714,724,737,743,754,760,763,779,787,789,798,809,821,827,832,846,851,858,873,881,889,895,900,909,918,927,935,947,958,964,969,980,989,997,1006,1018,1026,1031,1040,1046,1060,1062,1073,1086,1093,1099,1108,1116,1127,1134,1141,1148,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,23,29,39,50,51,60,74,84,90,95,109,112,126,128,141,148,162,166,173,318,324,328,336,345,356,361,373,381,394,399,405,413,426,431,442,597,607,614,625,632,635,650,658,666,674,678,694,701,708,720,728,736,745,753,755,770,777,784,796,804,812,820,827,837,841,852,864,872,875,889,896,902,914,920,926,937,951,955,967,972,985,990,1000,1006,1018,1026,1035,1042,1050,1055,1065,1071,1086,1091,1098,1111,1119,1126,1133,1140,1152,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,19,27,42,49,59,62,74,84,87,95,105,111,127,128,144,150,160,163,174,314,324,332,337,349,356,368,373,382,391,400,406,420,425,435,442,598,606,614,618,633,637,646,659,668,671,685,687,698,707,713,726,735,739,753,757,769,773,784,793,800,811,816,830,834,844,854,864,868,879,889,897,900,912,917,933,941,947,955,962,969,980,991,995,1005,1019,1022,1032,1039,1052,1060,1064,1071,1087,1092,1098,1112,1117,1126,1130,1141,1151,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,18,33,42,48,58,60,70,82,86,100,103,114,125,130,137,151,158,166,172,314,321,334,340,345,360,362,374,385,388,400,406,413,429,430,440,599,603,610,621,634,636,649,658,665,672,679,690,698,704,719,724,737,740,747,754,767,778,788,792,800,810,816,828,839,848,849,863,871,878,884,898,903,910,921,927,934,950,952,965,974,984,989,997,1008,1019,1025,1031,1039,1046,1061,1063,1074,1081,1093,1098,1112,1113,1123,1135,1142,1155,1164,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,22,32,35,42,56,67,76,84,89,101,102,117,124,129,140,149,155,165,174,316,319,332,338,350,352,365,376,379,389,396,408,417,427,431,445,451,601,611,623,635,639,647,655,661,670,682,689,701,705,719,725,736,742,747,762,766,779,784,794,801,811,819,824,837,842,851,857,866,878,885,895,903,916,918,925,936,946,955,962,975,978,986,997,1003,1014,1026,1033,1043,1047,1058,1065,1071,1079,1095,1100,1109,1119,1130,1131,1140,1152,1163,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,31,34,44,54,60,72,80,87,99,103,117,120,134,139,148,160,162,173,318,326,328,336,350,356,361,376,378,390,396,405,420,422,433,441,469,608,616,625,632,640,648,659,665,673,684,694,701,707,717,722,733,737,747,762,767,775,782,793,805,808,819,831,836,845,853,857,866,881,889,896,906,915,922,930,934,946,955,959,974,980,992,994,1007,1015,1020,1035,1036,1046,1059,1069,1075,1082,1092,1099,1107,1117,1123,1135,1142,1149,1160,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,19,30,34,44,59,65,70,77,92,101,103,114,126,132,141,153,157,168,171,314,325,326,342,350,353,363,375,383,386,403,407,414,424,435,445,599,608,616,625,626,639,647,658,664,672,683,693,699,710,720,725,730,743,750,758,767,772,783,792,801,811,815,824,833,842,855,865,874,882,886,892,908,911,921,930,938,949,957,967,969,984,986,999,1007,1012,1024,1035,1042,1046,1056,1066,1078,1082,1093,1102,1106,1114,1126,1135,1139,1154,1162,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,27,35,44,53,61,70,82,88,100,108,115,127,135,139,147,155,162,178,314,326,331,337,348,359,368,372,381,387,399,405,419,425,430,444,597,608,612,626,631,638,651,658,666,676,681,689,700,708,716,725,734,742,748,758,766,773,782,791,799,810,818,828,839,841,850,863,868,881,883,892,903,910,923,926,939,949,955,962,972,984,992,995,1009,1016,1025,1029,1042,1052,1056,1062,1076,1079,1090,1104,1107,1121,1129,1138,1143,1154,1163,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,22,27,38,47,53,66,72,79,90,100,105,119,120,134,140,147,159,169,174,316,326,335,337,348,360,365,378,381,395,399,410,414,425,430,445,600,604,617,626,630,642,645,657,665,671,679,690,697,704,718,720,733,740,754,762,765,773,784,789,798,811,819,827,833,848,853,858,868,878,890,896,904,911,919,927,940,945,955,963,971,982,985,994,1004,1015,1020,1028,1040,1052,1055,1064,1077,1084,1095,1100,1110,1121,1129,1130,1146,1148,1157,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,24,27,42,50,54,63,70,79,88,99,103,115,126,128,141,153,159,170,176,317,325,330,338,345,359,366,375,380,390,402,404,417,423,430,442,468,607,615,622,628,636,649,656,661,673,685,689,697,709,715,722,730,741,749,762,767,777,785,796,800,808,818,824,833,841,849,863,872,875,884,895,902,909,925,929,939,949,952,961,975,977,989,995,1009,1015,1024,1036,1044,1051,1061,1067,1077,1087,1089,1099,1108,1119,1124,1137,1139,1149,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,30,41,51,56,60,72,78,91,96,106,118,124,133,141,149,159,165,171,315,320,327,341,351,359,368,370,379,391,396,408,416,421,430,438,447,609,614,624,628,641,650,656,663,677,686,689,696,705,715,722,733,738,754,761,764,774,781,795,803,813,819,829,836,844,849,863,866,882,884,894,900,914,918,930,937,945,958,965,973,983,985,997,1008,1011,1023,1032,1039,1053,1060,1063,1075,1080,1088,1102,1112,1118,1127,1135,1141,1147,1156,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,30,38,43,55,62,75,82,93,95,103,119,121,131,142,148,160,168,173,313,322,328,341,350,360,361,373,381,389,398,406,413,420,437,445,457,604,614,625,628,636,649,657,666,669,681,692,703,709,712,722,732,738,752,762,767,777,784,789,798,812,822,823,834,840,854,863,866,877,886,899,906,913,921,927,939,943,957,960,974,983,988,998,1002,1016,1022,1032,1043,1045,1061,1069,1074,1085,1088,1097,1107,1121,1124,1137,1140,1154,1156,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,20,32,37,48,55,65,72,81,86,101,109,114,123,134,141,153,159,168,179,318,324,329,335,344,356,364,373,383,389,395,409,413,425,431,439,457,607,614,622,634,641,647,656,668,669,680,688,701,710,713,726,734,738,746,762,765,779,781,797,801,811,821,829,831,846,848,858,873,877,888,897,907,909,918,933,938,944,957,963,969,982,990,1000,1009,1019,1021,1029,1036,1047,1056,1064,1078,1086,1088,1104,1111,1120,1125,1137,1139,1150,1164,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,24,34,35,51,55,67,71,77,90,94,109,116,123,135,145,146,157,170,173,317,321,333,341,351,359,369,375,384,387,396,411,418,424,435,445,461,608,617,623,629,638,649,656,668,674,682,691,697,705,713,721,733,739,747,762,767,773,780,796,802,806,817,824,833,844,855,859,869,881,883,893,901,911,921,926,941,945,954,963,975,981,989,998,1003,1017,1020,1033,1038,1046,1055,1070,1075,1082,1093,1101,1112,1113,1128,1138,1147,1151,1161,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,25,31,42,49,58,62,76,79,90,98,106,111,119,131,137,149,161,163,173,313,320,332,335,348,354,362,374,385,387,402,408,417,424,429,438,465,601,612,620,630,640,647,659,662,672,681,693,701,706,719,727,729,737,752,755,771,774,784,797,804,813,821,828,832,846,851,861,866,877,889,892,904,912,917,928,935,946,958,961,974,982,992,995,1003,1015,1025,1034,1039,1045,1054,1065,1076,1080,1091,1103,1105,1117,1126,1136,1139,1150,1163,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,32,42,46,51,64,74,77,91,96,107,112,123,132,138,147,155,166,175,316,322,332,343,346,355,368,372,384,387,402,406,413,425,430,441,451,603,612,619,628,635,651,660,664,675,684,692,696,706,718,724,733,745,746,761,766,777,780,797,804,809,818,825,833,845,853,865,866,881,888,896,900,912,922,932,939,946,954,962,974,981,991,997,1007,1016,1024,1028,1041,1050,1056,1063,1073,1081,1093,1097,1105,1119,1129,1131,1145,1148,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,20,29,42,51,55,63,72,82,92,97,109,111,121,128,145,147,161,168,178,316,321,333,342,344,356,367,371,383,391,403,412,417,424,436,443,597,608,611,624,633,641,648,654,667,670,683,690,701,705,715,722,735,745,747,759,771,777,786,790,805,814,821,824,835,847,849,860,868,880,890,899,900,916,919,925,938,948,952,961,968,982,991,1000,1003,1015,1020,1031,1040,1047,1054,1068,1077,1085,1094,1102,1106,1113,1126,1137,1145,1151,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,17,31,35,50,59,67,72,83,89,96,108,115,125,133,142,151,162,167,171,314,326,334,335,345,357,368,370,383,388,395,408,412,422,434,443,600,603,614,622,632,638,643,660,663,673,680,688,696,708,712,721,734,741,748,763,765,777,780,792,802,810,820,829,833,846,855,857,872,881,889,897,903,912,921,932,936,946,958,965,969,978,993,998,1007,1015,1020,1030,1043,1046,1053,1065,1079,1084,1095,1097,1110,1120,1128,1135,1140,1152,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,29,36,45,51,62,70,83,90,99,106,117,127,135,139,149,155,167,175,316,326,333,335,346,354,365,377,385,392,398,406,416,424,431,439,599,601,611,621,632,636,646,656,666,677,682,690,694,709,717,728,731,744,750,755,764,773,787,790,803,809,815,827,833,846,851,864,865,875,884,894,901,912,925,927,937,945,953,965,968,979,987,995,1004,1015,1022,1028,1041,1052,1058,1063,1078,1082,1093,1101,1110,1115,1128,1131,1140,1148,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,29,39,50,58,63,71,78,88,94,103,112,125,130,137,153,159,166,174,317,323,327,337,352,359,366,370,381,393,402,406,414,424,429,444,451,606,609,618,630,642,645,659,665,670,677,691,698,704,717,723,732,741,747,761,769,772,786,790,801,810,814,831,839,844,852,865,869,878,887,897,904,914,925,928,941,944,957,965,968,983,989,998,1006,1012,1020,1034,1043,1049,1060,1068,1073,1079,1089,1100,1110,1117,1128,1136,1145,1149,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,23,31,36,48,53,66,70,81,87,102,109,115,120,130,139,147,157,162,171,316,320,334,339,346,358,365,374,385,386,403,410,418,422,429,445,597,602,612,622,631,639,648,657,668,669,679,693,702,711,716,728,734,741,752,755,765,779,781,793,800,806,814,826,834,840,854,860,867,879,890,893,903,911,921,929,937,948,956,963,972,982,991,996,1005,1015,1019,1033,1043,1051,1053,1067,1077,1087,1091,1098,1108,1119,1126,1135,1142,1153,1157,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,19,30,34,44,52,60,73,83,91,97,103,117,119,134,136,147,159,165,178,317,324,332,339,348,354,362,371,380,389,396,409,413,426,434,438,457,605,614,621,633,638,649,658,665,671,685,691,695,708,717,722,731,742,749,758,767,775,780,790,801,810,821,825,839,845,854,858,868,874,888,895,902,908,924,927,934,948,951,960,969,983,986,996,1010,1011,1023,1028,1038,1051,1057,1068,1073,1085,1092,1099,1108,1118,1122,1134,1139,1150,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,28,35,51,52,61,75,85,89,95,110,117,124,136,144,149,158,170,173,315,324,328,336,351,353,366,374,380,391,401,411,413,427,432,440,468,604,613,622,629,643,651,658,664,670,683,693,703,707,719,724,732,745,749,760,765,780,785,791,800,807,817,826,838,841,853,859,871,875,887,891,908,909,917,929,942,950,958,964,975,980,985,994,1008,1013,1019,1033,1042,1051,1059,1067,1075,1080,1093,1101,1111,1114,1122,1133,1141,1149,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,25,34,43,57,63,73,82,85,99,109,116,125,129,138,147,157,163,176,314,322,333,335,347,357,368,374,379,392,401,404,415,424,436,442,600,606,616,626,634,641,643,660,661,671,681,687,694,706,715,727,733,738,752,755,764,775,786,791,799,813,815,824,835,840,854,862,872,879,887,894,903,908,919,932,938,942,952,960,976,982,990,999,1007,1013,1024,1028,1039,1049,1053,1062,1074,1082,1095,1098,1106,1114,1122,1130,1141,1153,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,24,27,41,44,51,61,73,77,89,99,109,112,121,135,142,145,160,170,175,318,322,327,342,350,358,363,375,379,386,400,404,414,426,431,441,459,604,616,623,632,639,645,657,666,670,684,694,698,710,713,724,730,743,752,762,765,774,780,794,802,811,816,822,836,842,856,862,873,879,884,899,905,914,925,926,942,947,958,962,970,977,988,1000,1003,1015,1024,1030,1041,1048,1059,1064,1075,1086,1093,1101,1112,1120,1124,1131,1141,1147,1164,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,19,34,41,43,55,64,74,78,91,102,106,112,125,130,143,150,155,164,176,316,319,331,343,345,357,367,371,378,394,403,408,415,421,431,446,599,608,612,624,628,636,647,657,661,675,685,693,699,707,716,723,733,738,747,759,771,779,781,790,797,814,816,824,832,845,851,863,873,881,885,894,905,913,920,926,940,950,952,966,975,983,986,1001,1004,1018,1026,1032,1043,1053,1060,1065,1072,1080,1090,1100,1107,1120,1129,1130,1145,1148,1161,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,29,39,44,55,61,74,80,87,99,104,118,126,135,137,145,158,169,172,316,325,326,335,352,360,364,373,384,389,401,409,420,424,437,444,455,602,612,618,627,643,651,652,661,672,683,687,696,709,719,728,735,740,751,762,764,773,788,794,803,807,816,830,833,840,850,859,865,879,888,891,908,912,916,931,935,946,955,966,971,977,988,996,1005,1012,1026,1030,1043,1048,1057,1062,1077,1082,1089,1097,1109,1119,1129,1138,1147,1149,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,31,37,46,59,66,68,78,91,95,110,112,125,132,139,150,159,165,175,316,319,330,336,351,358,367,376,378,389,398,406,419,424,431,438,449,605,614,622,633,642,647,659,667,673,683,692,702,706,719,723,735,738,747,760,765,772,784,796,801,809,821,830,831,843,850,859,867,879,883,891,906,910,925,929,937,948,954,967,976,982,990,998,1004,1013,1023,1031,1037,1049,1054,1068,1070,1081,1093,1103,1108,1113,1123,1132,1143,1155,1160,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,22,26,40,51,52,67,76,78,85,96,102,118,126,131,143,152,154,166,177,313,324,332,337,348,359,361,375,378,389,395,406,415,426,434,445,469,602,617,618,632,639,647,658,663,674,683,689,697,711,717,721,734,738,746,755,765,774,787,791,798,814,818,829,839,847,853,859,869,878,888,898,901,915,920,927,939,947,952,960,976,981,993,997,1003,1017,1020,1035,1041,1051,1061,1067,1071,1083,1095,1100,1107,1117,1122,1135,1147,1149,1161,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,31,38,47,56,67,69,78,90,100,105,111,122,130,142,150,154,168,172,315,319,330,341,349,358,368,370,378,389,396,404,414,422,432,439,459,609,615,623,633,637,646,656,663,673,683,686,697,704,720,722,731,745,754,757,766,778,788,794,804,807,817,830,832,845,857,865,869,875,886,893,908,910,923,926,940,948,958,962,970,984,989,1001,1007,1012,1022,1034,1037,1047,1055,1067,1071,1082,1093,1102,1112,1115,1129,1134,1146,1154,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,26,36,46,56,63,69,85,93,98,103,112,123,134,142,153,154,168,177,315,322,331,335,345,353,367,370,383,386,398,404,414,421,437,445,600,604,614,618,627,635,649,655,662,671,678,686,701,706,719,726,735,745,749,762,763,778,783,794,797,807,818,827,836,843,850,857,870,877,888,896,900,912,918,929,937,944,957,967,971,977,986,998,1002,1010,1022,1031,1044,1047,1055,1063,1074,1079,1089,1101,1105,1121,1124,1135,1146,1151,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,26,40,43,53,64,72,76,88,97,110,111,127,129,142,148,159,164,172,316,322,334,339,349,355,363,369,379,387,402,404,413,424,433,439,470,604,616,623,633,639,649,658,664,673,682,694,700,709,719,726,736,741,750,755,768,775,781,796,798,813,819,828,836,841,851,864,868,879,888,894,906,912,921,925,940,948,955,967,971,982,985,1000,1008,1011,1022,1028,1040,1046,1055,1064,1078,1084,1088,1097,1108,1119,1128,1132,1139,1151,1161,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,8,19,28,40,48,53,61,69,78,91,94,102,115,125,132,142,151,155,167,179,313,325,332,336,347,355,369,377,384,392,401,407,413,425,434,439,599,604,615,624,626,635,649,659,664,670,677,687,702,711,718,725,735,737,750,758,763,780,783,795,800,806,816,829,835,844,856,860,871,875,887,897,902,912,922,926,936,950,955,967,976,983,993,999,1004,1018,1025,1033,1039,1052,1058,1062,1073,1083,1094,1100,1105,1117,1129,1137,1142,1151,1161,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,27,40,45,59,67,74,83,87,97,109,114,124,136,144,147,157,168,173,313,318,329,343,346,360,366,376,378,394,398,405,414,428,435,442,471,602,612,624,630,638,645,658,665,674,681,692,696,704,715,728,732,739,753,757,764,777,782,794,798,810,818,827,835,841,850,862,867,882,888,894,900,909,923,932,936,950,957,959,976,981,985,995,1008,1019,1020,1034,1037,1052,1060,1067,1074,1081,1093,1096,1107,1117,1125,1136,1140,1148,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,30,37,45,54,65,75,78,91,94,106,114,120,133,139,148,161,168,178,313,319,332,338,345,357,361,370,381,392,395,405,417,423,436,438,596,607,611,619,633,639,646,657,661,671,680,692,695,704,713,724,735,745,746,759,768,774,780,796,803,812,822,830,831,841,849,862,870,881,887,892,901,914,920,930,940,949,952,964,968,978,991,1000,1004,1013,1022,1029,1042,1051,1058,1068,1077,1081,1089,1098,1113,1119,1123,1135,1139,1154,1162,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,23,28,34,45,57,63,69,77,93,96,104,111,125,128,141,149,159,168,177,317,320,331,342,347,360,361,374,379,393,403,407,415,424,431,446,450,605,613,624,632,638,643,652,665,673,679,686,701,705,717,722,735,738,749,761,768,775,783,795,803,807,817,825,839,847,854,859,872,874,889,891,905,916,917,932,937,947,955,966,973,978,988,1002,1010,1012,1025,1030,1041,1047,1058,1068,1070,1084,1088,1102,1108,1114,1126,1136,1142,1153,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,29,40,43,51,67,74,78,86,102,105,112,127,134,137,152,156,165,174,317,319,328,335,349,360,368,374,383,388,399,410,419,428,430,439,597,603,616,623,629,638,646,652,667,673,680,688,698,708,719,722,730,745,748,754,770,776,781,793,798,808,814,829,836,840,851,863,866,876,886,893,902,909,918,932,939,944,951,960,972,982,988,1001,1005,1014,1026,1035,1041,1047,1060,1065,1078,1086,1093,1098,1109,1115,1129,1133,1140,1152,1158,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,25,26,41,50,55,64,73,77,91,99,110,119,127,135,141,150,153,163,174,313,322,328,338,352,354,367,376,381,387,397,408,417,426,431,437,468,605,611,626,629,642,651,658,663,676,681,687,699,706,719,725,731,740,748,761,767,776,786,794,797,807,815,823,835,841,852,860,870,880,883,898,904,915,917,929,935,945,957,961,969,982,992,995,1008,1014,1023,1031,1044,1047,1059,1069,1071,1079,1095,1102,1112,1116,1123,1131,1139,1155,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,18,30,40,49,53,63,72,79,86,98,104,114,127,128,145,152,156,169,174,315,318,329,343,348,353,362,370,383,387,401,404,417,423,430,441,447,604,611,625,629,638,644,659,665,675,682,689,700,709,720,727,735,745,749,757,765,777,785,796,800,814,820,831,837,848,854,857,869,874,887,894,901,913,924,926,934,947,958,967,971,980,985,994,1010,1017,1024,1028,1043,1050,1061,1064,1072,1081,1090,1099,1109,1118,1126,1131,1143,1152,1158,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,25,29,40,48,54,64,72,80,92,100,108,112,123,130,139,147,158,165,175,315,318,328,337,347,360,361,376,384,392,397,409,417,426,433,443,597,606,613,623,628,638,649,654,665,676,678,688,703,707,714,727,731,738,751,760,766,776,787,792,804,807,822,825,834,847,852,862,873,878,888,898,905,915,924,930,934,947,951,967,971,982,985,997,1007,1012,1023,1036,1043,1052,1056,1069,1075,1080,1094,1102,1108,1119,1127,1132,1143,1152,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,26,38,43,54,65,73,79,91,101,103,114,124,135,144,146,160,168,174,316,323,331,337,349,356,361,373,383,391,395,407,419,427,433,441,596,607,616,618,632,641,645,656,662,672,685,691,700,706,718,728,737,742,754,755,770,774,783,795,800,812,821,826,836,846,848,863,869,878,885,899,907,915,921,931,938,947,952,967,970,976,986,995,1008,1013,1020,1031,1038,1053,1056,1062,1074,1085,1090,1097,1112,1115,1122,1138,1145,1149,1162,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,23,31,34,43,58,61,70,78,93,102,107,115,120,136,140,149,157,165,175,316,325,328,337,347,360,361,374,384,394,402,403,419,426,437,442,596,607,611,621,634,641,644,654,665,673,678,693,699,708,714,721,729,739,751,758,767,778,786,790,805,813,816,825,832,841,853,864,870,874,884,892,903,916,923,929,942,946,955,966,974,978,989,994,1005,1014,1026,1033,1036,1053,1060,1062,1071,1085,1091,1101,1105,1114,1124,1133,1140,1147,1163,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,17,26,38,43,51,61,75,83,93,102,106,112,120,130,138,153,157,168,174,317,323,333,336,348,354,362,376,384,393,402,404,418,422,430,442,598,602,610,618,627,639,649,659,661,675,681,690,695,709,719,726,729,741,750,759,763,771,785,789,798,806,814,826,832,840,849,861,871,879,888,899,905,916,922,926,937,944,957,966,968,985,986,994,1010,1014,1019,1035,1037,1050,1061,1068,1071,1087,1090,1099,1106,1120,1129,1131,1141,1147,1163,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,139,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,21,29,36,44,57,61,74,79,86,96,109,111,122,131,137,146,153,169,178,317,322,331,343,349,355,363,369,385,394,398,411,413,428,430,441,597,604,617,621,634,637,644,655,661,674,682,686,698,703,720,722,734,737,751,760,770,778,783,796,803,809,822,827,831,842,856,865,872,881,884,898,899,913,920,927,934,943,958,961,974,979,988,1000,1007,1016,1021,1028,1040,1047,1060,1062,1072,1085,1088,1104,1113,1118,1127,1138,1141,1155,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,30,37,50,51,60,72,83,93,98,108,118,121,136,142,147,160,165,173,317,320,331,336,347,355,366,370,386,387,402,408,412,422,435,441,466,609,614,619,631,641,647,657,666,676,680,693,697,703,718,723,731,743,748,760,767,772,780,794,801,807,817,829,836,848,852,859,869,876,889,899,903,908,923,930,935,943,957,963,970,980,991,996,1005,1018,1025,1036,1040,1047,1057,1069,1075,1082,1091,1100,1112,1117,1127,1136,1141,1150,1158,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,19,27,40,48,55,63,74,84,89,102,103,118,121,131,136,146,157,163,173,314,325,334,335,349,360,368,371,381,391,398,411,418,423,429,439,453,606,613,622,626,640,645,654,661,676,682,694,701,710,712,725,735,745,747,758,770,774,784,792,801,814,818,828,839,844,851,864,865,878,890,899,901,915,918,926,940,945,956,963,972,982,988,998,1003,1012,1025,1031,1039,1049,1058,1062,1071,1086,1094,1104,1108,1121,1123,1133,1145,1150,1163,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,33,40,49,56,64,75,79,86,101,106,118,124,131,144,146,161,165,172,318,326,333,337,351,359,366,371,379,389,400,408,415,422,430,440,596,607,611,623,627,641,647,658,665,677,683,686,697,708,712,723,732,739,746,762,763,778,781,794,797,814,822,824,836,844,852,863,872,876,891,896,904,914,917,931,942,949,956,963,971,980,992,996,1007,1013,1023,1032,1038,1050,1057,1066,1078,1084,1091,1101,1109,1118,1125,1134,1145,1152,1156,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,21,30,40,45,58,60,71,77,87,101,105,112,125,129,139,151,154,164,171,317,324,333,338,346,357,363,369,379,394,402,408,412,423,433,443,600,605,615,620,627,643,650,657,663,669,683,689,698,707,718,725,735,745,749,756,771,779,788,794,802,809,820,826,836,844,852,864,871,880,890,898,907,912,920,932,941,950,957,966,974,979,986,994,1003,1019,1022,1036,1042,1051,1061,1063,1072,1083,1095,1099,1111,1113,1123,1136,1143,1153,1158,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,24,29,34,49,54,60,68,81,91,94,103,117,123,134,143,152,157,163,170,316,321,334,339,343,356,361,376,380,387,396,405,415,425,433,440,596,608,615,622,629,635,651,652,667,674,680,689,697,707,712,723,733,737,746,760,766,773,781,796,800,813,820,828,831,840,849,864,866,881,883,893,900,914,922,928,942,950,952,962,969,980,993,1000,1009,1010,1019,1036,1042,1045,1061,1065,1075,1085,1089,1096,1110,1119,1123,1132,1141,1153,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,25,29,37,42,52,62,68,79,87,98,102,118,121,132,140,152,155,166,177,317,318,328,341,345,353,361,375,381,393,395,412,416,424,430,444,597,601,615,626,632,637,650,659,666,675,679,692,702,704,717,720,730,741,750,759,766,771,782,794,802,807,822,828,837,842,849,862,873,882,888,898,908,914,918,930,938,950,959,963,972,977,990,994,1007,1015,1025,1029,1039,1053,1055,1065,1072,1080,1091,1098,1111,1119,1127,1133,1142,1150,1158,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,33,35,43,52,62,71,79,90,95,109,118,127,134,138,153,156,170,177,313,319,328,336,348,357,361,375,379,390,402,406,413,421,435,441,600,605,613,624,633,636,648,653,667,669,678,688,701,707,718,725,736,743,748,755,770,779,785,795,799,806,822,828,832,843,853,860,869,880,888,894,908,914,923,929,939,949,955,960,970,977,993,1001,1003,1014,1020,1030,1043,1046,1058,1064,1072,1079,1093,1097,1110,1119,1127,1131,1146,1149,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,29,36,50,52,61,73,81,92,102,108,113,126,136,138,147,154,166,173,314,322,329,340,346,357,369,371,381,393,397,407,415,428,432,441,596,607,611,619,631,636,648,652,667,670,677,688,701,710,714,722,735,744,749,759,771,774,784,791,804,807,821,831,835,844,852,858,870,882,889,899,902,908,924,932,935,948,951,960,975,976,989,997,1007,1012,1025,1032,1038,1048,1056,1063,1076,1087,1092,1104,1111,1119,1122,1137,1144,1149,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,23,33,34,48,55,60,73,84,85,99,102,112,127,131,141,145,160,166,179,317,322,329,342,344,359,367,373,378,388,400,404,417,425,437,445,598,608,615,624,627,641,644,655,662,673,681,691,699,708,714,724,732,742,750,761,764,778,782,794,801,812,817,823,833,847,856,861,870,878,883,893,904,914,918,928,941,949,953,959,970,982,987,997,1005,1014,1021,1035,1041,1053,1061,1069,1077,1082,1094,1100,1108,1120,1123,1138,1140,1153,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,20,29,39,45,57,66,71,80,85,96,106,118,125,135,137,145,161,170,174,315,319,330,337,349,354,367,370,383,394,395,408,412,420,436,445,596,601,614,625,630,638,649,659,660,671,681,688,699,704,719,724,736,740,753,758,769,780,788,789,800,811,819,825,832,840,853,862,867,876,887,897,904,910,917,927,934,943,951,960,969,979,987,999,1006,1018,1021,1030,1044,1045,1058,1063,1078,1082,1089,1096,1108,1116,1127,1131,1147,1155,1162,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,17,29,37,45,57,61,74,83,85,96,107,117,126,133,136,149,158,169,176,316,322,327,337,348,360,363,377,382,393,402,409,418,425,431,444,458,609,611,623,627,635,646,656,667,670,685,693,697,705,717,722,732,742,749,761,771,773,785,795,797,809,818,829,837,844,855,864,871,879,883,894,902,908,924,931,940,949,955,965,976,980,992,999,1010,1014,1024,1029,1043,1053,1060,1069,1076,1085,1093,1102,1105,1116,1129,1138,1146,1152,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,19,28,39,48,58,59,75,84,86,95,110,113,123,131,137,153,156,162,176,313,322,333,338,344,359,361,372,385,387,397,405,413,425,429,440,599,606,610,620,634,636,643,658,662,673,681,686,701,708,718,723,730,739,752,756,766,780,786,790,798,813,818,826,834,846,855,861,867,877,889,895,908,912,917,927,938,948,957,963,972,982,993,997,1009,1011,1024,1032,1037,1047,1059,1067,1078,1081,1088,1103,1110,1120,1126,1136,1146,1155,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,24,29,42,43,55,63,76,84,90,100,104,117,123,130,143,147,160,163,171,314,319,328,342,351,357,366,371,378,392,398,408,413,420,430,442,599,608,613,622,633,639,648,656,663,670,679,689,699,711,719,720,733,740,751,755,764,774,788,794,805,810,819,823,835,848,849,861,872,881,889,899,905,914,925,930,938,945,952,967,968,979,989,995,1002,1017,1024,1035,1042,1050,1060,1062,1074,1087,1089,1102,1112,1120,1125,1134,1145,1152,1164,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,24,28,38,44,51,64,69,83,87,99,106,117,127,131,140,146,160,163,176,316,319,331,338,344,358,366,371,385,392,397,404,419,421,432,441,600,603,617,624,634,638,647,657,668,676,679,688,697,707,713,723,733,740,752,763,770,774,786,790,804,812,821,826,835,844,851,857,868,881,890,893,907,912,916,928,942,945,953,961,972,976,989,999,1003,1015,1019,1028,1041,1052,1055,1070,1076,1085,1093,1099,1105,1114,1122,1137,1145,1147,1157,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,18,30,41,46,54,68,70,80,92,100,104,112,125,133,138,149,154,163,171,313,325,334,339,344,354,366,370,379,390,397,412,416,426,430,439,598,605,609,620,631,640,647,655,665,677,683,689,701,709,712,725,730,738,746,760,771,776,782,795,801,810,816,826,833,840,856,864,869,876,883,898,904,915,920,933,934,949,951,966,974,979,990,994,1004,1017,1026,1034,1043,1046,1057,1065,1076,1082,1089,1104,1107,1114,1125,1134,1147,1150,1159,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,27,39,48,59,66,71,77,85,99,108,119,126,129,138,147,154,164,172,313,320,329,342,352,358,367,372,381,391,403,411,412,424,435,441,596,603,613,619,630,642,644,655,668,671,680,691,702,708,714,724,731,740,751,756,771,774,786,795,802,810,822,825,838,844,850,858,871,874,883,898,907,910,924,929,940,949,951,964,969,980,990,1001,1002,1014,1020,1034,1042,1049,1061,1063,1078,1080,1090,1101,1104,1113,1127,1132,1142,1152,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,8,21,30,38,43,54,59,73,83,87,96,109,112,121,131,143,150,156,170,176,313,325,332,341,349,354,364,370,384,391,397,409,418,423,433,443,468,608,612,625,632,640,651,660,665,669,684,690,700,711,712,723,730,741,750,758,770,774,787,794,799,806,816,824,836,847,849,862,866,879,882,897,907,908,922,929,942,949,954,965,970,978,985,1001,1004,1015,1024,1031,1038,1047,1056,1067,1072,1083,1095,1098,1104,1119,1126,1133,1140,1154,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,22,30,37,44,55,60,75,81,89,94,103,115,124,136,137,149,161,163,173,315,326,328,341,351,352,365,376,383,389,400,407,414,429,433,444,599,605,616,625,627,641,644,654,664,671,678,694,696,710,712,727,734,743,750,755,763,773,781,789,797,810,815,827,832,841,854,857,867,880,890,894,903,913,920,932,942,945,957,964,975,984,986,1001,1009,1012,1026,1030,1041,1051,1061,1066,1078,1087,1088,1099,1106,1118,1126,1130,1144,1151,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,17,27,36,45,52,60,70,83,91,99,109,111,125,130,141,152,154,165,174,317,325,327,342,344,352,369,371,381,387,403,406,413,424,437,443,596,604,609,623,635,640,646,652,662,673,685,687,697,706,716,728,733,739,751,756,769,772,787,789,803,812,817,830,832,842,853,859,869,880,891,892,907,909,921,929,940,950,957,967,973,980,991,997,1004,1019,1022,1031,1038,1048,1055,1062,1075,1081,1089,1104,1109,1115,1129,1136,1145,1149,1163,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,19,30,35,45,54,62,72,83,87,98,103,115,120,130,137,146,155,170,171,315,324,331,341,349,360,363,374,383,394,397,408,415,421,436,443,447,602,612,619,627,640,648,659,664,670,685,693,698,705,717,722,731,740,746,761,768,771,783,795,801,806,818,823,839,842,851,860,872,874,885,894,903,913,922,927,937,944,956,960,969,983,992,993,1006,1013,1025,1029,1039,1051,1056,1066,1076,1082,1092,1101,1105,1115,1128,1134,1147,1152,1156,1173,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,20,28,34,44,52,64,74,80,87,99,111,114,120,133,139,147,158,166,178,315,323,335,342,347,359,365,377,379,387,395,409,419,426,430,445,450,601,613,618,633,635,646,654,667,677,680,690,699,703,713,728,730,738,750,759,767,777,783,789,799,811,820,827,839,843,851,859,870,882,885,892,907,916,924,928,938,942,958,966,972,978,985,996,1010,1013,1025,1036,1043,1045,1053,1062,1071,1085,1088,1099,1110,1119,1129,1135,1142,1151,1158,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,29,39,46,57,62,69,81,87,95,106,113,127,133,141,147,161,163,175,315,323,328,336,351,352,362,376,381,387,403,411,419,426,431,444,596,604,612,621,629,641,650,655,668,677,682,692,700,706,716,724,737,742,754,759,765,777,785,796,803,810,815,826,835,846,856,863,872,877,885,896,902,909,917,933,941,943,954,963,974,984,989,998,1010,1018,1027,1034,1041,1046,1058,1064,1078,1081,1094,1097,1111,1116,1123,1135,1147,1152,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,21,27,40,47,54,66,71,83,90,95,108,117,123,135,140,148,154,169,178,315,321,335,339,348,357,368,373,381,390,402,404,417,423,430,441,448,605,613,621,634,640,651,655,667,673,679,690,696,706,717,721,729,738,752,755,767,778,780,795,804,811,817,831,834,845,852,865,874,876,883,896,902,914,920,929,939,948,956,961,975,977,993,998,1006,1018,1019,1030,1039,1050,1057,1065,1077,1085,1095,1096,1105,1121,1126,1135,1145,1153,1160,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,23,32,42,44,57,61,69,82,91,98,109,118,123,134,141,147,161,163,173,316,321,329,338,350,356,364,374,385,389,397,408,417,427,435,446,468,603,615,624,632,637,650,658,661,669,680,692,699,705,714,722,733,737,753,757,768,777,780,792,804,811,816,826,834,843,848,858,870,880,884,891,902,912,923,931,940,948,958,967,968,982,993,994,1008,1014,1025,1028,1043,1051,1056,1067,1079,1087,1092,1099,1108,1121,1128,1137,1144,1151,1164,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,24,27,37,50,55,61,69,81,87,101,105,113,121,135,141,149,158,168,174,317,326,334,341,346,355,361,374,381,391,395,404,419,423,436,439,596,602,613,623,631,642,647,656,661,675,681,691,696,704,715,721,736,737,754,756,766,777,787,794,797,813,821,826,839,847,852,865,868,882,885,891,903,911,924,927,939,945,951,966,969,978,988,997,1005,1012,1024,1031,1040,1048,1061,1064,1073,1081,1092,1096,1110,1120,1125,1135,1143,1147,1158,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,18,33,39,48,58,60,74,81,88,98,105,114,127,135,137,153,155,166,177,313,319,331,342,348,355,362,371,380,391,398,405,416,423,436,437,451,601,613,622,629,638,646,659,661,672,683,688,697,704,713,720,736,742,751,758,769,773,783,793,799,808,822,830,833,845,850,862,869,876,884,897,907,912,925,928,934,950,951,960,971,979,992,999,1009,1017,1020,1032,1044,1047,1059,1067,1075,1082,1091,1103,1107,1121,1128,1133,1139,1151,1164,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,15,23,31,38,44,51,63,75,84,93,102,110,111,120,136,137,145,155,163,172,314,320,334,339,349,354,366,373,383,387,396,408,415,421,436,441,597,604,613,622,631,635,646,657,668,676,680,686,702,705,720,722,736,745,750,754,767,780,787,792,804,808,821,827,834,848,849,863,869,879,886,892,903,910,918,928,940,944,954,962,976,981,993,999,1009,1018,1026,1036,1043,1047,1061,1064,1079,1083,1090,1099,1113,1114,1128,1135,1142,1152,1164,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,26,37,46,54,62,71,84,89,96,106,112,120,134,142,146,158,169,178,317,323,330,340,347,354,362,376,382,389,401,410,416,423,431,441,598,608,617,625,633,636,651,657,667,674,682,687,698,711,712,728,735,738,754,758,764,776,781,791,803,806,820,823,832,842,855,865,873,874,884,891,901,910,920,928,935,944,955,962,975,985,987,997,1003,1013,1026,1033,1036,1052,1054,1069,1075,1081,1089,1101,1108,1120,1129,1133,1140,1148,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,24,25,39,49,56,65,74,77,89,98,103,118,123,128,136,145,154,164,177,316,325,335,342,346,356,363,375,385,388,397,405,419,425,432,440,596,603,615,619,626,635,648,657,663,670,683,690,696,709,716,722,737,745,750,761,764,778,782,796,801,807,821,830,837,841,854,859,867,881,883,896,901,909,922,925,939,947,956,964,972,980,991,1000,1005,1015,1025,1031,1040,1050,1061,1066,1073,1085,1087,1104,1109,1113,1127,1131,1139,1154,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,32,40,47,54,62,69,83,88,101,106,118,125,129,144,149,159,166,177,314,323,333,340,350,358,367,376,382,387,401,406,418,427,434,442,452,609,614,621,632,637,648,657,666,675,684,687,698,704,717,721,729,745,749,757,769,774,787,797,801,812,815,829,835,841,853,857,867,877,885,891,901,915,917,933,934,946,955,963,973,980,985,994,1002,1018,1024,1033,1038,1051,1057,1062,1077,1087,1093,1100,1106,1121,1124,1137,1143,1149,1156,1172,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,24,27,34,47,53,61,69,78,93,97,107,112,124,131,145,153,158,169,178,189,318,333,343,348,356,365,371,381,390,397,408,413,424,434,440,457,607,614,626,630,636,646,659,663,674,681,692,703,709,715,728,731,742,753,756,769,774,782,790,802,809,815,826,834,845,856,861,873,878,883,897,903,912,924,926,940,950,951,963,971,981,992,994,1005,1014,1019,1034,1044,1050,1058,1064,1074,1085,1089,1101,1111,1113,1124,1136,1146,1150,1162,1166,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
6,10,19,25,41,49,58,62,71,81,85,98,104,116,120,134,143,145,159,168,176,316,322,327,338,349,359,362,376,382,393,398,404,420,428,436,443,597,604,617,623,634,635,646,658,666,674,683,693,701,708,717,724,734,745,748,758,767,775,786,791,798,809,819,824,833,841,852,863,869,877,891,898,904,914,918,926,935,948,958,963,969,977,990,996,1006,1018,1025,1035,1041,1047,1059,1062,1078,1085,1095,1103,1111,1119,1123,1137,1142,1155,1162,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,30,36,46,58,61,71,82,85,95,104,111,120,134,139,147,157,166,175,187,318,330,339,343,358,362,375,378,387,403,407,413,421,429,445,599,607,613,622,628,639,650,654,667,676,680,686,700,704,716,721,731,744,753,757,767,772,781,796,805,807,818,823,839,848,850,861,872,875,884,894,905,908,923,931,936,944,959,963,975,980,987,994,1002,1012,1026,1034,1036,1046,1060,1063,1070,1082,1088,1100,1109,1116,1124,1134,1142,1149,1160,1166	0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,11,21,26,41,48,51,61,72,76,89,96,109,118,122,136,137,146,161,164,176,183,318,332,340,345,357,369,375,381,389,395,407,419,425,433,445,599,604,614,625,632,640,650,657,664,677,679,689,695,705,719,721,731,745,752,762,771,774,786,792,804,812,818,827,838,845,856,864,869,882,888,896,907,916,917,933,939,950,951,961,973,981,991,999,1003,1012,1020,1034,1040,1046,1061,1065,1074,1084,1091,1104,1105,1113,1129,1135,1139,1147,1163,1165,1178	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,10,17,26,39,47,59,61,74,79,87,95,109,118,122,130,139,153,158,165,178,179,322,333,341,347,353,367,375,378,387,395,409,412,425,433,439,452,607,616,625,632,635,646,659,668,673,681,694,700,703,714,721,735,739,753,760,764,773,784,792,805,809,816,829,836,847,853,860,870,875,885,893,905,914,918,926,934,948,956,961,968,979,993,998,1009,1011,1027,1028,1042,1048,1059,1063,1073,1079,1091,1100,1113,1118,1129,1136,1143,1150,1158,1165,1175	0,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,17,28,37,50,56,61,72,84,89,99,107,116,126,128,142,147,154,168,178,179,323,330,341,347,356,367,376,378,394,403,408,416,420,435,443,598,608,616,622,634,641,644,654,667,671,678,687,699,704,716,721,729,741,747,760,764,778,783,789,801,806,817,825,833,842,850,863,870,880,887,898,901,910,922,933,935,947,954,961,970,977,988,998,1002,1015,1024,1032,1042,1045,1060,1063,1078,1087,1093,1098,1111,1114,1126,1136,1144,1151,1161,1172,1178	0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
8,12,20,33,38,46,59,65,72,80,85,94,109,116,120,133,137,152,154,163,172,186,318,335,342,345,360,364,369,378,393,402,410,414,423,437,440,448,601,609,624,629,639,645,653,663,676,678,690,695,711,718,720,731,739,754,758,767,774,784,795,802,809,815,824,831,844,849,857,867,881,889,891,906,914,917,929,940,950,955,964,975,983,986,996,1008,1019,1025,1031,1040,1048,1062,1067,1076,1086,1091,1102,1106,1118,1129,1138,1140,1148,1164,1166,1176	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,19,29,36,43,54,61,69,83,87,99,110,118,120,134,143,152,157,170,175,186,321,328,340,344,356,363,375,378,393,401,403,414,428,436,444,596,605,613,622,628,641,644,654,666,674,680,690,695,704,715,721,735,738,747,760,769,778,781,795,800,810,820,824,834,841,853,862,872,881,886,897,901,915,922,929,937,947,955,962,969,976,992,995,1009,1013,1020,1036,1044,1050,1062,1063,1072,1079,1092,1097,1108,1121,1129,1134,1143,1155,1158,1171	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,15,19,31,35,43,54,61,74,81,89,99,110,113,123,133,140,147,159,165,175,317,319,328,335,352,353,365,369,383,393,396,407,418,426,437,445,468,606,617,621,626,640,651,654,661,673,679,692,695,704,715,722,736,739,749,758,771,778,783,793,799,812,814,829,837,845,851,857,866,875,887,898,900,915,925,933,936,950,954,960,976,977,992,997,1003,1019,1027,1033,1042,1048,1059,1067,1074,1080,1094,1100,1105,1120,1125,1133,1144,1155,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,23,27,36,46,58,61,72,80,90,102,104,115,123,130,138,147,153,170,176,317,318,335,336,348,357,361,377,384,394,401,411,413,425,436,440,596,602,615,625,628,642,645,654,664,671,678,689,698,706,712,723,737,739,753,758,765,778,780,796,797,807,814,829,837,840,849,858,869,882,889,896,904,912,923,928,937,944,958,964,970,978,991,996,1007,1012,1026,1035,1039,1052,1060,1069,1078,1084,1093,1099,1105,1119,1127,1134,1140,1154,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,21,29,36,43,59,66,71,78,85,95,106,117,127,129,144,153,160,166,175,317,321,329,337,347,358,367,376,379,393,396,409,413,427,431,438,465,607,609,622,634,637,647,658,663,676,685,690,702,707,715,726,737,739,748,755,771,778,781,791,800,813,819,824,835,844,849,860,867,878,883,893,902,911,922,931,941,947,953,964,973,984,986,997,1004,1018,1020,1028,1041,1047,1056,1064,1071,1087,1095,1099,1107,1114,1124,1138,1146,1150,1160,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,21,31,39,51,57,61,71,78,86,95,104,117,121,132,144,147,158,168,177,316,321,327,343,348,358,366,370,382,390,403,405,417,428,430,444,599,607,612,620,631,641,650,658,663,674,679,694,701,705,715,726,734,741,754,762,769,774,785,794,798,807,816,831,837,846,851,860,870,881,889,897,901,911,919,933,940,947,952,962,970,976,987,994,1004,1015,1027,1035,1040,1049,1059,1066,1072,1079,1089,1100,1107,1113,1122,1136,1146,1150,1162,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,23,34,40,44,59,64,74,82,91,99,109,117,120,133,143,146,161,166,173,314,324,333,343,344,360,361,374,382,386,400,404,412,426,435,443,600,605,616,624,634,636,648,652,662,669,685,690,700,709,715,727,737,740,746,755,763,775,782,793,803,807,818,826,834,844,851,863,866,882,889,899,900,915,919,932,937,948,954,964,973,980,992,1001,1009,1016,1022,1036,1037,1050,1057,1065,1074,1083,1095,1101,1106,1114,1124,1133,1146,1148,1160,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,31,36,45,51,65,69,83,85,93,110,113,126,131,140,153,158,170,171,315,323,334,337,344,355,366,371,383,393,400,408,420,423,430,443,600,601,617,624,630,636,644,653,663,669,678,686,695,703,712,724,729,744,752,761,767,777,788,796,803,811,821,828,833,846,856,861,868,878,889,899,906,910,918,926,934,945,955,966,970,978,992,994,1005,1014,1024,1033,1040,1051,1054,1066,1077,1084,1093,1101,1111,1117,1127,1134,1146,1152,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,20,28,35,50,58,62,71,83,89,99,104,112,123,135,140,150,154,163,176,313,319,332,340,345,356,365,374,384,393,396,406,420,421,432,444,462,602,611,618,632,637,643,654,666,669,682,689,696,707,714,725,729,740,748,754,771,775,782,796,802,808,818,823,834,848,851,857,873,881,888,895,900,916,918,931,937,943,953,967,976,979,993,1000,1008,1013,1021,1034,1036,1045,1055,1065,1072,1086,1094,1103,1106,1115,1124,1138,1144,1152,1162,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,23,30,42,43,57,60,71,81,89,94,108,114,122,132,144,152,157,167,176,313,324,326,341,350,359,367,377,379,393,402,404,416,427,435,445,597,601,615,621,634,638,649,653,664,676,680,687,701,704,717,721,729,741,750,759,769,777,782,792,800,809,816,830,831,848,853,863,870,877,890,896,902,913,918,929,939,949,954,961,968,981,988,995,1002,1015,1021,1035,1039,1048,1054,1065,1076,1081,1088,1098,1110,1116,1126,1132,1141,1151,1156,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,23,26,39,48,56,64,68,85,91,100,105,116,123,136,143,147,159,170,177,181,320,334,341,351,354,362,371,383,392,399,410,419,421,432,438,600,608,610,626,627,637,647,656,660,672,683,690,703,706,714,724,735,740,750,759,765,775,785,792,797,806,822,826,832,847,852,857,866,882,885,899,906,916,917,925,941,945,957,961,975,984,990,996,1009,1013,1024,1033,1042,1047,1060,1062,1078,1087,1095,1103,1105,1117,1124,1136,1146,1155,1159,1171	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,21,27,38,45,56,63,73,79,88,102,103,115,119,133,140,149,157,168,176,316,319,333,343,344,353,364,375,382,390,396,407,417,426,435,445,596,602,616,622,634,642,650,659,660,671,678,692,698,704,717,727,733,741,752,756,767,778,781,796,802,808,818,824,839,847,856,857,867,879,883,892,905,916,920,931,939,944,958,966,968,979,992,1001,1006,1015,1027,1033,1038,1047,1059,1064,1074,1082,1093,1096,1109,1118,1127,1131,1141,1151,1161,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,22,30,41,44,59,63,70,81,88,98,105,113,126,132,140,150,156,163,176,318,324,327,338,347,356,362,372,379,387,397,404,420,422,434,438,449,602,613,621,627,637,649,653,662,669,684,693,698,704,716,720,734,744,753,759,767,772,782,795,805,811,821,829,836,840,855,862,865,882,883,895,901,911,920,926,935,949,954,962,972,976,986,995,1008,1016,1020,1032,1037,1052,1059,1069,1075,1079,1089,1101,1109,1113,1122,1135,1143,1150,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,20,29,36,46,51,67,76,82,87,97,110,115,123,130,141,149,154,168,172,315,326,332,338,345,353,366,376,382,394,398,405,412,421,432,438,447,604,613,621,632,642,647,659,663,675,680,691,703,710,717,721,732,741,750,758,766,779,782,790,798,813,819,827,832,844,856,865,873,879,887,896,901,916,924,931,935,944,951,964,976,977,988,1000,1009,1017,1023,1031,1040,1048,1054,1062,1072,1084,1088,1097,1111,1121,1127,1138,1146,1149,1162,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,26,36,49,51,62,73,82,89,97,106,111,127,128,139,145,158,162,176,315,322,331,339,345,357,363,370,384,387,396,411,419,426,431,445,459,604,611,623,626,636,648,653,666,670,685,686,696,703,719,725,735,739,750,761,771,777,783,791,800,812,814,823,839,845,853,865,869,882,888,894,905,914,920,932,934,946,953,967,969,980,988,996,1010,1011,1024,1034,1039,1051,1059,1069,1072,1081,1094,1097,1104,1116,1127,1134,1146,1147,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,18,31,35,45,57,63,76,84,87,96,104,114,121,135,143,152,155,162,179,181,326,327,342,351,354,368,373,381,394,396,404,416,420,437,441,598,607,612,623,630,635,646,653,665,670,677,686,701,710,716,725,734,744,754,761,769,779,785,791,798,808,822,826,838,840,853,862,867,878,885,895,904,916,917,932,942,948,956,966,972,977,992,996,1007,1013,1027,1033,1042,1048,1058,1064,1075,1082,1090,1100,1112,1121,1122,1137,1146,1155,1157,1171,1177	0,0,0,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
2,13,19,28,34,49,54,62,73,78,87,96,103,117,127,133,144,146,153,169,172,316,326,332,337,345,355,366,374,380,386,399,406,419,428,435,442,466,604,614,624,631,638,644,657,666,672,682,691,694,711,718,725,731,742,753,755,769,771,783,794,805,808,822,830,833,845,849,858,868,876,883,892,902,911,920,927,935,949,957,961,969,982,986,995,1010,1018,1026,1028,1039,1048,1056,1064,1074,1079,1090,1102,1106,1121,1129,1134,1141,1149,1163,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,22,29,39,46,54,63,73,79,88,99,105,116,124,136,139,148,153,169,176,317,320,328,339,344,354,367,377,386,393,395,409,414,422,433,446,459,601,617,625,632,643,645,655,668,674,686,691,697,711,713,722,730,738,748,757,764,774,782,796,802,806,817,823,834,847,851,857,871,876,883,892,905,911,918,930,934,947,957,967,973,977,989,997,1006,1015,1020,1032,1036,1053,1061,1067,1072,1085,1092,1097,1105,1116,1125,1131,1142,1150,1163,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,21,27,36,43,54,64,76,78,85,101,108,119,122,130,137,149,157,170,178,318,324,332,336,346,352,367,369,382,388,401,404,420,428,429,439,600,607,612,621,631,635,646,652,665,672,682,689,695,707,714,728,729,742,747,760,771,775,783,790,799,808,815,826,835,846,850,863,870,877,889,893,906,915,925,931,942,948,953,966,972,976,985,998,1005,1017,1026,1034,1044,1049,1058,1067,1073,1081,1095,1100,1113,1114,1123,1131,1145,1155,1161,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,22,30,35,49,57,62,76,80,86,101,106,117,125,133,143,150,159,166,178,318,320,330,342,349,359,363,374,379,394,398,406,420,427,432,439,597,605,610,622,627,636,651,655,668,671,679,694,702,704,717,721,733,741,747,759,763,777,781,790,801,811,815,824,834,841,850,857,869,878,890,891,904,911,920,927,936,943,956,964,971,980,991,1000,1009,1013,1020,1029,1044,1047,1059,1062,1078,1085,1088,1103,1108,1119,1127,1132,1139,1149,1158,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,20,28,40,42,56,63,75,83,85,95,107,111,122,133,138,152,158,167,174,315,322,327,340,348,355,361,373,383,387,403,412,413,427,432,445,448,608,611,620,627,635,644,654,663,677,683,692,699,706,715,723,736,739,746,762,766,772,780,790,805,808,822,828,833,842,850,858,868,877,885,895,908,909,921,925,935,945,951,965,975,978,991,999,1007,1013,1022,1033,1039,1051,1056,1070,1075,1083,1089,1099,1109,1117,1129,1132,1142,1152,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,18,27,37,47,59,67,76,81,92,95,105,115,124,133,137,152,162,163,172,318,319,334,341,344,357,363,375,386,388,399,407,416,422,430,444,459,605,613,622,631,635,646,655,663,673,680,693,697,711,713,728,732,744,749,756,767,778,787,790,800,813,814,829,831,841,854,859,866,881,891,892,907,909,921,926,941,945,955,960,969,983,988,995,1005,1016,1020,1029,1042,1052,1056,1063,1075,1085,1091,1103,1108,1117,1125,1136,1145,1154,1161,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,23,25,42,43,59,65,75,81,89,98,108,114,124,131,145,153,160,167,174,317,320,333,338,346,356,362,371,379,393,396,408,413,429,430,444,597,607,612,621,630,639,650,659,664,670,679,692,702,705,719,722,736,744,746,761,765,778,782,792,801,808,814,823,835,844,855,863,871,877,888,891,901,913,924,929,936,948,954,964,968,983,993,996,1003,1012,1027,1030,1043,1052,1059,1069,1070,1083,1089,1097,1106,1121,1130,1138,1141,1148,1157,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,18,31,41,48,57,66,74,82,85,97,105,112,122,130,141,146,158,170,174,315,323,331,343,346,352,363,370,382,388,403,405,420,423,434,440,463,605,611,625,632,641,647,654,662,670,686,694,701,709,718,726,736,741,753,755,771,775,787,796,800,810,814,826,837,840,851,857,865,881,889,897,907,909,922,928,939,950,952,962,968,982,993,1000,1005,1014,1027,1030,1042,1050,1054,1063,1070,1085,1087,1099,1107,1114,1127,1137,1142,1154,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,26,35,43,52,62,76,82,91,100,105,118,125,130,144,149,155,169,178,313,320,327,335,350,357,367,371,380,388,395,411,415,423,436,444,447,608,609,625,628,637,649,652,668,671,681,687,698,703,719,722,732,742,752,759,770,779,784,796,798,808,821,828,838,842,854,860,869,880,888,899,903,916,919,930,941,947,956,966,970,977,989,1001,1008,1018,1020,1029,1042,1051,1054,1069,1072,1085,1095,1098,1112,1116,1126,1131,1144,1153,1157,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,17,20,27,34,46,52,67,74,78,92,97,104,117,121,135,141,152,160,163,175,316,324,329,343,351,359,363,371,380,394,395,409,417,427,434,442,468,601,611,624,634,639,643,659,664,675,677,691,695,705,716,728,729,743,750,760,763,772,787,789,798,808,815,825,836,846,850,865,867,881,890,896,900,916,922,926,936,946,951,965,971,977,989,994,1009,1013,1019,1032,1043,1048,1055,1067,1079,1081,1096,1102,1113,1120,1122,1138,1139,1155,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,17,27,37,48,55,65,68,79,87,94,103,112,125,128,137,145,154,167,178,316,322,333,336,351,357,365,377,378,390,399,407,420,427,432,444,456,600,611,622,632,639,644,653,669,676,680,692,702,707,720,721,731,738,746,758,767,771,781,790,798,807,818,828,839,840,851,858,868,877,888,892,904,915,920,930,939,946,954,960,970,977,985,1000,1006,1015,1022,1032,1037,1052,1056,1064,1073,1081,1088,1103,1108,1118,1130,1135,1146,1149,1161,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,33,38,48,54,60,70,79,88,94,103,115,123,131,142,150,158,165,171,314,319,327,339,348,353,366,373,385,390,395,407,417,422,430,443,600,605,617,623,634,639,647,655,668,672,684,691,699,704,712,728,734,738,753,755,767,772,783,794,798,812,814,827,839,843,851,864,866,882,889,891,902,910,923,928,936,947,956,960,969,981,990,996,1010,1015,1024,1029,1039,1050,1059,1063,1074,1084,1093,1102,1108,1116,1127,1133,1144,1152,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,25,26,42,50,57,65,69,80,89,96,105,112,125,134,142,145,161,165,172,183,326,333,339,350,355,362,371,379,386,403,409,419,422,436,441,596,607,616,618,629,642,651,653,668,675,681,692,702,711,716,727,736,741,749,757,764,778,785,794,802,809,816,823,838,840,849,858,873,881,883,895,905,915,917,927,941,947,958,967,968,977,989,1000,1005,1016,1025,1035,1042,1045,1057,1066,1070,1079,1090,1098,1105,1114,1123,1133,1147,1155,1161,1172,1174	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,25,34,42,45,58,59,74,82,87,94,110,116,125,133,137,152,157,166,176,189,324,327,342,349,359,366,377,382,391,399,409,414,423,435,443,454,608,617,622,630,636,650,658,665,671,681,689,701,708,715,727,732,743,751,761,768,779,783,796,799,810,816,827,836,840,852,860,867,879,888,893,902,913,919,925,935,944,956,964,970,984,991,994,1005,1015,1026,1029,1036,1052,1054,1069,1073,1087,1091,1099,1107,1114,1123,1131,1139,1153,1162,1167,1178	1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,10,18,26,40,49,53,65,70,83,85,97,108,114,122,135,138,152,162,166,176,180,320,332,342,347,355,369,371,380,391,403,409,419,421,433,443,453,608,614,624,627,640,651,653,661,677,682,688,700,708,712,721,733,743,747,760,770,775,782,791,804,812,820,825,834,843,855,861,873,878,888,898,905,911,921,932,935,950,955,963,975,977,986,996,1007,1013,1026,1033,1044,1053,1058,1063,1075,1084,1091,1097,1105,1116,1126,1132,1139,1149,1157,1167,1174	1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,22,27,38,46,53,61,73,81,90,100,103,118,120,132,141,146,157,162,175,182,325,334,337,350,359,366,370,378,395,399,405,419,426,435,447,596,603,614,619,628,638,646,655,661,671,683,688,696,703,713,723,733,738,754,762,768,776,782,796,805,808,822,831,834,847,852,865,872,875,883,898,905,909,918,929,936,943,957,960,971,982,991,1001,1006,1015,1024,1030,1042,1052,1056,1069,1073,1080,1092,1099,1111,1113,1126,1134,1139,1155,1159,1170,1174	0,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,25,26,38,42,56,68,73,83,93,99,110,117,119,134,138,148,155,163,176,187,323,334,337,350,353,364,375,383,390,397,404,413,426,433,439,598,602,610,620,631,642,650,660,663,677,678,693,697,710,719,720,733,740,749,757,770,773,787,793,798,806,821,826,839,846,852,858,871,874,890,893,902,913,924,925,935,949,959,967,971,983,990,994,1009,1014,1022,1033,1044,1051,1059,1062,1073,1083,1093,1104,1110,1116,1123,1132,1143,1155,1164,1171,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,11,18,27,39,50,58,66,70,80,86,101,108,112,125,130,138,153,158,169,178,182,319,327,342,348,354,362,374,385,387,400,409,417,427,433,445,453,605,615,622,629,642,649,658,668,669,685,694,697,709,714,726,732,745,751,761,770,777,783,793,799,811,817,826,838,841,856,859,874,877,883,897,903,910,922,928,937,944,959,962,972,977,986,999,1005,1014,1022,1033,1036,1047,1055,1067,1075,1082,1093,1103,1111,1115,1126,1130,1141,1154,1157,1166,1175	1,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,19,27,39,49,52,62,71,85,93,101,102,117,123,131,139,146,155,165,176,179,320,331,337,349,356,364,375,385,388,401,408,413,422,435,441,455,604,610,621,628,638,650,658,665,673,678,693,695,709,718,726,736,743,746,760,764,779,780,792,804,812,815,829,836,846,851,858,873,878,890,891,907,909,921,933,939,942,956,965,971,979,985,994,1005,1012,1025,1031,1044,1050,1061,1062,1073,1081,1088,1099,1108,1117,1121,1132,1142,1155,1160,1166,1176	1,0,1,1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,8,19,26,38,47,56,63,68,83,92,95,103,115,122,131,136,151,162,166,178,181,323,333,338,352,360,362,370,385,390,400,408,414,428,432,440,465,604,615,624,628,638,649,659,667,669,681,690,695,705,719,724,736,740,747,761,769,778,788,793,799,811,819,823,839,842,852,863,871,875,889,891,900,909,924,932,940,950,953,960,975,979,988,995,1009,1018,1020,1028,1039,1047,1055,1063,1074,1084,1096,1098,1106,1119,1126,1133,1139,1151,1162,1172,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,17,22,26,41,44,54,62,73,80,87,97,107,113,127,135,143,152,161,163,173,313,319,334,340,351,353,368,376,383,387,400,404,414,426,431,438,449,604,617,621,629,641,651,656,664,672,679,691,701,707,716,722,731,744,747,758,764,776,786,795,802,811,821,823,832,842,851,864,867,874,886,897,907,914,917,925,938,947,953,961,975,982,993,994,1003,1015,1026,1030,1041,1050,1058,1069,1073,1081,1087,1101,1109,1113,1128,1138,1141,1147,1157,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,29,35,50,56,64,73,80,86,98,105,119,121,130,140,150,156,162,177,198,323,334,342,344,357,364,376,382,388,396,404,418,421,436,444,468,605,611,622,633,637,649,658,662,669,679,694,697,709,714,722,736,738,747,756,765,773,783,797,801,809,816,825,836,847,849,865,866,880,885,897,901,911,917,927,936,945,958,960,972,981,985,1000,1007,1017,1023,1035,1038,1047,1056,1070,1079,1084,1088,1097,1109,1114,1124,1137,1145,1149,1162,1164	1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
3,8,22,27,35,44,54,64,69,77,92,99,103,111,127,132,137,147,160,169,179,180,325,334,339,346,360,367,376,383,388,401,409,420,425,437,444,469,606,612,619,633,639,650,655,664,675,683,687,696,703,716,720,736,744,748,758,770,776,785,789,800,809,818,830,833,840,848,859,867,874,886,898,902,908,917,932,941,950,951,959,972,983,989,999,1003,1014,1026,1028,1039,1051,1055,1065,1077,1079,1091,1099,1112,1121,1124,1134,1145,1153,1162,1168,1176	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
4,9,18,33,39,48,54,61,70,78,86,101,102,113,120,135,137,151,155,164,177,181,320,330,335,345,353,363,371,383,393,401,406,419,427,431,438,455,602,614,624,631,639,650,659,663,669,679,692,699,707,713,725,733,738,753,755,765,777,788,794,798,810,817,828,835,848,853,860,873,880,884,898,907,912,920,928,936,948,956,964,973,983,986,998,1009,1018,1022,1032,1044,1047,1054,1065,1074,1087,1094,1100,1112,1121,1123,1136,1142,1147,1158,1167,1174	0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,12,23,34,39,50,56,65,74,82,92,94,106,113,123,135,136,145,159,164,171,183,321,334,340,345,359,367,375,383,394,398,406,413,421,431,438,600,601,616,618,632,640,645,652,662,675,682,687,698,708,717,723,729,739,746,760,764,775,783,796,797,812,822,825,836,847,856,858,869,882,885,891,904,912,918,931,938,943,955,967,974,977,988,997,1009,1014,1023,1031,1042,1048,1055,1066,1079,1080,1095,1098,1108,1119,1122,1130,1142,1149,1161,1167	1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,10,18,30,37,45,59,60,70,84,89,96,107,118,124,133,140,148,161,167,174,187,324,335,340,345,354,368,374,381,389,402,406,418,425,430,444,454,603,616,621,631,635,649,658,661,676,684,688,697,704,720,725,729,738,753,759,766,772,786,789,801,807,815,827,837,847,850,861,870,881,888,895,905,910,918,929,934,950,953,963,971,981,986,999,1008,1015,1022,1036,1037,1047,1058,1069,1077,1084,1088,1097,1105,1115,1125,1135,1147,1149,1159,1164,1175	1,1,0,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,9,21,32,36,44,51,61,74,83,86,100,109,115,127,134,137,148,158,170,174,184,326,333,336,348,357,368,377,379,387,400,408,420,421,435,439,456,607,611,622,633,640,648,654,666,677,680,693,696,703,719,728,731,740,749,763,768,772,781,796,798,814,816,831,833,846,850,860,870,876,887,894,902,909,917,932,937,945,952,963,973,976,986,996,1009,1017,1026,1032,1037,1052,1055,1069,1077,1079,1088,1099,1112,1117,1128,1137,1139,1149,1156,1165,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,14,24,28,37,45,52,60,73,82,87,98,110,114,122,131,140,145,155,167,175,317,326,335,339,351,356,365,375,381,392,396,411,416,421,435,441,451,608,610,618,633,641,648,654,662,677,681,687,702,703,715,725,733,741,746,759,763,776,788,793,799,809,821,830,834,845,848,864,871,875,886,895,903,915,920,929,937,945,959,964,975,981,990,997,1003,1012,1021,1032,1039,1048,1059,1065,1075,1080,1092,1104,1108,1121,1127,1137,1142,1153,1156,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,27,41,48,52,61,72,77,91,98,107,115,125,129,144,146,155,164,177,314,321,333,338,350,353,367,370,379,394,397,405,416,422,431,446,467,601,617,618,627,640,647,652,661,677,681,691,694,708,718,726,733,742,748,756,764,779,785,794,801,807,818,824,834,846,854,862,872,881,889,894,903,911,925,928,938,942,958,968,974,985,990,998,1005,1014,1022,1028,1041,1047,1056,1064,1077,1086,1093,1099,1110,1120,1130,1135,1146,1155,1158,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,23,28,37,45,52,67,73,84,85,94,107,112,127,136,144,146,161,162,175,313,325,335,340,350,353,363,374,382,392,398,409,414,422,433,439,599,602,611,622,632,638,651,658,663,676,678,691,699,707,716,724,731,738,754,756,770,777,786,793,801,809,821,830,832,844,848,859,873,880,886,897,902,910,919,932,939,948,951,967,969,976,992,1001,1004,1015,1025,1033,1041,1052,1057,1066,1078,1082,1095,1100,1106,1115,1129,1138,1142,1154,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,25,31,38,43,57,60,71,79,89,100,107,119,121,130,139,149,155,169,172,315,322,331,337,350,353,367,376,382,394,399,407,413,421,436,445,596,601,613,625,633,641,651,659,663,669,682,688,695,710,716,722,734,740,751,762,764,772,786,797,801,809,814,826,832,845,853,861,871,874,887,893,905,908,921,927,939,946,953,959,975,981,988,997,1003,1011,1022,1035,1037,1046,1057,1062,1078,1086,1089,1098,1105,1118,1122,1133,1146,1154,1156,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,28,34,46,55,67,73,79,92,101,110,116,122,136,137,147,155,163,179,315,323,330,342,346,353,361,372,384,393,397,406,414,426,431,443,466,605,610,625,626,635,650,655,668,674,685,693,698,705,712,724,729,740,754,762,770,776,781,795,805,812,819,830,838,844,853,857,867,874,883,891,900,908,918,927,936,944,953,967,973,985,988,1002,1010,1014,1024,1033,1037,1049,1054,1067,1073,1080,1091,1104,1111,1120,1126,1135,1145,1150,1159,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,25,29,39,45,58,68,70,84,92,99,105,113,120,129,137,151,157,162,176,313,321,334,336,346,355,362,372,380,391,396,412,419,421,431,439,599,604,612,622,628,640,648,654,668,677,680,694,699,704,716,725,731,740,747,755,770,774,784,795,798,806,815,828,837,847,852,860,865,877,890,894,905,915,922,930,935,943,956,960,976,978,988,999,1008,1018,1027,1032,1038,1051,1058,1063,1071,1082,1091,1104,1110,1117,1124,1135,1139,1155,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,29,35,45,51,65,76,82,89,94,109,113,124,131,141,149,161,168,176,316,326,331,338,351,352,361,375,384,390,403,405,418,424,429,443,598,605,612,619,634,636,651,654,662,671,686,692,699,710,714,723,730,746,748,760,771,776,783,789,801,813,819,825,839,846,853,862,866,877,882,893,901,912,918,929,935,946,952,967,973,981,988,998,1009,1012,1023,1028,1040,1047,1059,1067,1071,1081,1092,1101,1104,1117,1124,1131,1144,1154,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,32,36,46,53,60,68,79,90,94,106,112,122,136,142,149,162,167,172,315,324,330,337,348,360,365,373,382,389,397,409,412,421,434,443,600,603,613,619,631,636,651,653,665,670,682,687,700,709,716,727,737,742,746,760,763,780,783,789,799,806,820,825,831,840,850,862,866,876,887,895,904,908,923,930,938,946,958,966,970,981,985,995,1008,1014,1027,1033,1038,1051,1055,1066,1073,1087,1088,1100,1108,1118,1129,1134,1146,1152,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,21,27,35,50,51,66,70,78,92,95,106,113,126,129,142,151,155,162,175,183,320,327,338,350,360,367,370,378,394,400,407,420,423,429,446,598,601,611,618,628,635,649,653,666,676,682,687,695,704,714,726,733,739,749,762,770,779,788,789,798,811,820,827,831,842,851,861,868,880,890,892,907,909,923,929,937,942,955,967,974,979,987,1001,1004,1011,1026,1030,1037,1052,1056,1065,1072,1086,1094,1104,1107,1119,1121,1137,1140,1151,1158,1172,1178	0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,12,24,31,40,50,53,68,71,76,90,99,104,111,122,131,138,151,156,164,176,313,325,333,342,346,354,367,370,380,388,395,408,412,424,435,444,597,605,615,623,626,642,650,655,667,676,681,690,700,708,715,724,729,743,752,760,765,773,786,791,803,813,818,827,835,842,853,857,869,878,889,896,906,908,917,932,942,945,955,965,972,983,990,994,1002,1016,1020,1034,1041,1048,1055,1064,1071,1085,1091,1097,1108,1115,1127,1132,1141,1155,1163,1173,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,22,33,41,47,53,65,70,85,87,102,110,113,126,135,144,145,160,168,179,316,325,332,342,346,356,363,376,381,390,401,409,414,422,430,444,599,608,612,620,631,643,644,659,668,671,680,688,700,710,712,723,733,743,747,761,769,780,785,795,800,811,820,823,839,846,851,862,869,875,884,898,906,914,918,929,937,943,958,964,972,982,988,995,1007,1011,1023,1030,1042,1047,1059,1065,1073,1080,1096,1099,1105,1117,1124,1138,1142,1147,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,25,27,39,47,56,63,69,78,93,101,106,119,121,136,139,145,159,168,174,314,318,328,343,348,358,369,376,384,390,403,407,420,421,430,440,598,607,615,621,629,641,650,655,667,673,683,693,700,710,717,725,733,740,749,761,764,774,788,791,798,808,818,830,839,841,854,865,871,880,890,899,901,910,922,930,940,947,956,967,972,982,985,994,1004,1017,1023,1031,1044,1047,1061,1067,1076,1080,1093,1102,1109,1120,1125,1137,1144,1155,1158,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,32,35,50,59,61,72,78,91,101,105,118,126,132,139,149,160,168,174,314,318,333,337,344,352,367,371,379,389,395,405,415,421,432,444,600,607,614,619,634,639,651,655,668,675,680,693,696,706,718,728,736,739,748,756,764,778,786,794,798,807,818,824,837,848,850,858,872,876,884,895,902,916,923,933,939,949,957,962,968,984,990,994,1008,1015,1019,1032,1040,1051,1057,1067,1074,1080,1090,1103,1109,1118,1124,1135,1146,1151,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,29,37,48,54,61,74,85,88,101,104,111,120,131,143,151,153,166,172,183,324,332,336,344,359,365,370,382,386,396,409,416,428,434,440,598,608,616,618,631,641,643,655,667,676,682,686,700,710,715,722,731,738,753,755,763,774,787,796,803,812,815,830,836,847,852,861,869,876,889,891,903,916,925,927,940,944,957,966,975,977,992,996,1003,1016,1020,1032,1039,1047,1054,1069,1070,1081,1089,1100,1108,1117,1126,1132,1146,1152,1164,1172,1176	1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0
4,15,17,25,40,48,58,62,71,76,89,99,106,115,119,132,138,153,156,162,173,316,318,334,339,352,356,363,371,385,390,401,412,418,428,431,438,463,608,614,621,628,637,643,655,662,676,684,692,700,707,719,723,736,741,753,759,768,778,785,788,805,809,820,827,831,847,849,863,873,877,884,894,905,914,924,932,934,947,959,963,974,979,993,994,1007,1017,1019,1035,1042,1049,1056,1067,1078,1083,1092,1101,1110,1115,1129,1131,1139,1154,1158,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,21,31,41,50,58,63,76,77,93,95,103,111,121,128,137,151,162,169,177,314,325,328,340,349,353,368,377,384,386,398,405,418,426,435,444,450,608,615,618,628,635,646,658,666,670,680,692,700,705,719,722,734,744,753,756,768,775,788,791,801,813,821,823,835,842,852,862,869,881,890,898,904,909,922,932,934,943,958,964,972,979,992,1001,1006,1016,1025,1036,1043,1050,1058,1063,1071,1085,1091,1101,1111,1115,1122,1137,1139,1151,1162,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,24,29,38,49,57,61,74,83,92,97,109,111,124,133,141,152,162,168,174,315,322,335,336,345,353,366,369,383,391,395,404,416,428,435,445,448,603,611,626,627,636,646,660,661,675,681,688,694,708,712,727,735,740,750,762,765,771,781,796,798,811,815,830,839,845,848,859,865,881,887,899,907,916,922,927,936,942,955,963,970,977,989,999,1004,1018,1024,1033,1042,1048,1055,1066,1074,1086,1087,1100,1106,1121,1123,1131,1141,1154,1157,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,10,20,26,38,44,57,60,71,80,91,100,102,112,120,132,140,145,159,162,173,317,320,327,340,346,353,367,371,385,394,401,404,417,421,435,438,456,601,612,619,627,641,645,656,663,671,682,692,696,706,717,725,735,740,746,761,764,773,783,789,802,812,819,824,834,846,849,857,870,879,888,895,900,909,922,932,935,949,957,961,969,978,986,1000,1005,1018,1022,1029,1038,1045,1058,1069,1073,1085,1094,1098,1110,1115,1122,1134,1141,1152,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,20,31,39,47,58,65,75,79,90,95,103,111,125,129,136,150,154,164,175,313,323,331,342,348,356,363,373,384,388,398,408,420,424,434,439,598,601,616,619,627,641,645,652,666,674,681,690,699,709,714,724,733,744,748,755,769,774,788,794,803,811,818,831,834,841,856,857,866,880,882,891,904,913,920,930,942,945,957,962,971,980,990,1000,1003,1013,1021,1036,1042,1051,1057,1064,1075,1079,1087,1103,1112,1120,1126,1131,1139,1154,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,25,27,42,46,59,60,68,82,86,99,105,115,125,131,139,151,161,169,175,315,321,333,339,351,358,365,371,381,392,401,411,416,421,437,440,597,607,611,625,628,642,651,658,663,676,681,688,702,706,714,722,733,745,748,754,768,777,787,793,804,808,815,830,837,842,850,857,866,882,887,894,907,914,917,932,936,949,959,962,969,984,993,998,1002,1012,1022,1028,1039,1045,1056,1068,1077,1084,1094,1103,1111,1113,1127,1138,1146,1151,1163,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,21,28,36,43,57,68,71,84,88,101,105,113,125,134,141,149,158,167,175,316,326,333,335,347,358,363,375,382,387,400,405,419,428,430,445,599,605,614,619,633,638,651,652,661,672,680,688,697,708,719,725,736,740,746,757,769,772,785,790,803,812,818,828,833,842,854,862,873,879,886,893,904,915,920,929,935,947,955,966,976,983,987,995,1005,1012,1024,1031,1038,1052,1056,1062,1076,1084,1094,1103,1107,1117,1126,1132,1139,1148,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,20,27,41,43,54,60,74,82,88,97,110,111,123,135,140,148,160,164,171,313,322,331,340,348,359,365,370,385,390,399,407,416,425,435,443,468,607,616,624,631,642,648,654,665,674,685,688,699,706,715,721,733,741,753,761,766,773,782,793,803,812,815,826,832,843,856,861,865,874,888,892,902,914,921,927,941,946,951,967,971,977,986,998,1009,1014,1025,1030,1039,1049,1056,1068,1077,1081,1094,1103,1109,1119,1124,1138,1139,1152,1158,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,22,33,38,45,59,62,72,82,91,95,105,114,120,131,137,151,158,169,174,313,319,331,338,351,358,364,370,384,393,397,409,418,429,434,445,600,608,614,623,626,639,650,656,668,675,684,691,698,703,712,724,733,744,751,762,763,773,786,796,797,814,822,824,836,843,856,864,869,874,887,898,907,911,920,928,934,946,953,966,975,982,987,995,1010,1016,1024,1034,1044,1048,1055,1067,1076,1083,1092,1097,1109,1114,1121,1133,1143,1154,1158,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,15,18,32,37,49,58,60,73,84,90,97,109,112,119,136,140,146,156,162,173,313,325,329,342,347,360,362,374,379,392,399,403,416,426,435,439,456,603,617,625,630,643,644,659,663,672,680,689,696,704,717,725,731,740,746,754,765,773,786,794,800,807,819,824,835,844,856,862,873,878,886,897,901,915,917,927,941,948,959,961,971,983,990,995,1010,1019,1027,1031,1038,1051,1060,1063,1077,1082,1093,1099,1105,1114,1127,1135,1140,1155,1163,1171,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,26,35,44,56,61,69,79,86,96,107,115,124,135,137,149,157,170,171,318,321,331,337,348,359,368,375,382,389,399,408,412,428,431,441,597,602,609,622,628,639,646,652,664,672,679,691,696,704,712,724,735,740,748,760,763,776,785,789,801,807,815,823,839,847,854,859,872,875,888,894,902,913,917,929,936,944,957,960,975,982,989,995,1004,1016,1021,1034,1040,1047,1059,1062,1077,1080,1089,1103,1109,1115,1124,1136,1141,1148,1157,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,21,28,41,46,55,63,70,77,88,95,106,115,126,131,141,153,158,162,178,317,324,327,341,346,356,361,375,381,395,400,412,418,423,434,439,596,604,610,624,634,643,647,654,664,671,681,690,700,710,714,727,732,745,748,762,769,776,780,789,804,806,820,827,831,844,855,858,873,875,888,893,905,910,924,925,937,947,952,963,969,984,986,995,1008,1013,1025,1031,1037,1051,1058,1065,1076,1087,1095,1103,1110,1120,1129,1136,1141,1151,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,29,41,49,56,60,72,79,88,98,103,112,127,129,137,150,157,170,172,183,319,334,342,345,356,361,369,381,391,400,405,413,421,433,443,599,606,610,619,627,639,647,660,664,675,685,689,700,705,713,728,731,741,748,757,765,772,781,794,800,811,818,828,832,842,852,857,873,878,887,895,903,910,919,931,934,946,953,962,968,977,993,995,1005,1011,1020,1036,1037,1052,1061,1069,1075,1080,1095,1102,1113,1117,1123,1131,1142,1154,1159,1164	1,0,1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,10,20,29,40,48,52,64,68,85,86,101,106,114,123,129,138,149,154,166,171,183,324,330,338,351,352,362,370,385,394,397,407,412,426,435,446,460,603,616,624,629,637,644,657,660,676,677,692,697,707,718,720,729,742,748,756,766,777,785,796,800,814,817,824,835,844,852,857,867,876,886,893,905,908,925,929,941,950,952,960,974,980,993,1002,1009,1012,1022,1031,1039,1046,1056,1062,1074,1081,1095,1099,1108,1120,1129,1132,1143,1149,1156,1172	1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,23,30,41,48,55,67,73,80,92,98,104,117,128,132,143,145,157,169,176,195,322,334,337,348,354,368,372,384,391,396,407,416,422,435,442,599,609,615,622,633,641,647,656,665,673,680,691,702,709,712,724,733,737,753,760,769,772,787,793,799,807,818,823,834,844,850,865,868,881,885,894,907,913,918,925,938,943,953,964,972,980,987,1000,1003,1013,1021,1030,1036,1051,1056,1066,1078,1082,1090,1098,1111,1117,1125,1132,1140,1151,1157,1171,1175	1,0,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,25,33,37,48,59,68,76,82,93,101,110,115,121,128,139,148,154,168,175,181,326,330,337,348,359,368,371,378,390,396,407,419,422,437,442,447,603,616,620,629,637,647,652,666,671,681,691,696,706,715,722,734,740,753,763,765,780,787,794,803,809,822,827,838,848,849,861,866,881,888,892,900,910,920,925,938,943,958,959,972,979,985,997,1008,1015,1025,1032,1044,1051,1056,1063,1070,1082,1088,1098,1110,1115,1124,1132,1141,1149,1163,1165,1174	1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
4,11,22,32,38,50,51,64,75,79,90,95,103,116,127,135,140,148,161,164,172,184,321,327,341,352,353,361,371,383,390,397,412,420,426,436,443,452,602,614,625,631,640,648,660,662,671,684,686,702,705,714,721,731,738,747,757,770,775,783,793,800,806,818,824,839,844,848,862,868,878,885,897,904,911,922,926,937,946,956,964,976,985,989,995,1009,1019,1025,1036,1041,1050,1058,1067,1074,1079,1089,1100,1107,1117,1128,1136,1144,1151,1160,1165,1177	1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
7,12,17,27,40,43,55,66,69,81,88,99,103,116,126,130,142,152,154,168,171,180,323,332,337,347,360,364,375,384,390,395,403,419,427,434,439,596,606,614,625,629,638,648,656,665,670,684,692,696,711,713,723,733,744,754,759,769,779,781,792,804,810,819,829,833,846,855,860,870,882,889,899,907,913,919,933,935,947,957,962,975,978,987,994,1006,1015,1020,1034,1040,1053,1055,1063,1074,1083,1090,1098,1107,1121,1129,1131,1145,1149,1162,1172	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,23,28,38,44,57,61,72,80,87,100,109,113,123,128,140,146,158,165,175,199,318,328,335,350,355,368,376,378,387,400,403,420,428,430,443,596,602,611,618,628,642,646,655,665,674,686,688,702,709,715,726,729,740,748,761,765,773,780,791,804,808,817,826,834,841,855,864,874,881,890,893,904,915,921,925,935,947,952,965,970,985,988,999,1008,1011,1020,1029,1039,1045,1055,1068,1071,1081,1089,1099,1110,1114,1127,1135,1142,1151,1157,1165,1178	1,0,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,19,30,42,48,59,61,72,77,91,94,102,112,125,135,144,149,156,167,173,188,320,333,337,349,358,369,370,381,391,400,410,418,428,430,440,599,606,611,619,632,635,643,658,662,673,681,693,698,709,719,727,735,741,752,757,765,774,785,792,804,807,820,824,838,843,850,861,866,879,886,892,902,914,924,925,939,944,951,963,969,984,992,994,1008,1016,1026,1033,1037,1052,1061,1062,1072,1079,1091,1103,1112,1119,1125,1138,1139,1149,1160,1165,1173	1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,16,20,33,40,44,54,67,75,80,90,102,104,114,122,131,139,153,161,169,178,317,323,333,338,351,356,368,369,386,389,402,411,420,429,430,439,599,601,617,619,629,643,650,654,662,677,684,688,702,709,714,727,732,740,752,755,769,778,782,794,797,808,815,827,839,843,854,861,869,874,884,897,902,914,922,932,937,944,952,965,969,979,985,1001,1007,1011,1022,1030,1044,1046,1056,1069,1072,1087,1093,1100,1113,1115,1123,1138,1145,1152,1158,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,22,26,35,49,52,65,70,81,89,94,108,111,127,131,139,152,159,167,178,181,318,331,338,345,359,366,377,380,395,399,409,419,423,430,440,599,603,615,625,631,636,648,655,668,670,684,689,701,706,719,722,732,743,750,758,771,772,785,793,797,809,814,826,835,844,855,857,870,881,887,898,903,909,921,932,938,942,951,965,971,976,986,997,1006,1017,1020,1035,1040,1049,1055,1064,1070,1085,1089,1097,1105,1115,1129,1133,1146,1148,1160,1165	1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,14,20,27,37,47,57,66,75,78,87,94,105,115,122,135,137,146,159,170,176,190,320,332,341,351,356,361,370,378,390,399,407,418,425,429,438,457,603,613,619,629,639,651,654,665,670,685,692,698,707,715,728,729,740,750,760,766,778,788,789,803,808,818,827,833,846,855,861,872,876,891,897,901,909,922,931,940,947,957,968,974,976,986,998,1004,1012,1023,1036,1044,1052,1054,1063,1076,1083,1095,1103,1105,1113,1128,1138,1143,1154,1161,1172,1178	1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,19,26,37,48,58,60,71,80,90,100,109,114,124,132,145,153,161,168,172,180,318,331,341,350,353,364,377,383,390,401,407,417,428,433,442,459,602,613,618,634,640,644,656,667,671,685,692,702,708,719,723,730,741,753,759,768,778,788,791,800,808,818,822,834,840,852,861,868,878,885,894,905,910,917,933,940,949,952,965,972,984,988,999,1005,1018,1026,1034,1044,1046,1056,1068,1074,1081,1088,1099,1107,1117,1126,1135,1146,1150,1163,1164,1178	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,15,20,25,36,48,52,65,71,79,86,96,109,114,123,133,137,151,159,168,172,186,326,332,343,349,356,361,374,378,390,399,410,420,426,435,438,598,605,614,619,633,636,644,659,663,674,682,694,700,710,712,723,729,743,752,758,765,778,782,790,800,809,819,825,839,846,854,863,871,876,887,895,901,911,917,928,938,945,955,963,975,983,992,999,1010,1015,1020,1028,1043,1049,1054,1069,1075,1080,1089,1101,1109,1118,1126,1132,1141,1153,1158,1169	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,16,17,28,35,50,57,60,76,81,89,101,110,112,120,129,141,150,159,162,174,186,319,327,342,347,360,368,377,381,388,399,405,413,425,436,441,597,607,617,621,628,638,646,656,668,670,684,686,698,703,718,728,735,745,753,761,771,779,786,795,798,810,815,823,835,841,854,865,869,879,890,898,904,911,924,930,941,946,953,968,971,981,989,997,1010,1011,1022,1034,1042,1046,1055,1062,1073,1081,1096,1103,1105,1120,1127,1138,1143,1150,1158,1172	1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,20,27,41,50,55,67,70,78,89,98,110,112,125,131,141,149,161,166,171,190,325,332,336,348,353,366,371,383,388,399,403,416,421,435,444,596,609,616,624,634,637,646,655,661,676,681,686,698,707,717,720,730,743,749,756,766,775,783,796,799,809,817,829,838,840,853,865,867,882,891,898,903,910,917,930,937,943,953,965,976,982,988,999,1007,1017,1026,1035,1037,1053,1061,1067,1074,1079,1089,1101,1109,1120,1129,1132,1147,1152,1161,1167,1174	0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,18,27,38,46,54,67,68,78,87,94,104,112,126,131,139,149,158,169,178,314,322,327,335,352,356,362,376,379,391,397,403,420,427,433,439,467,608,613,626,633,640,651,660,664,672,685,688,701,704,714,726,736,738,753,756,765,777,782,789,804,813,819,828,832,846,854,863,868,874,886,891,901,911,923,933,937,944,954,966,974,984,988,1000,1010,1013,1024,1034,1037,1053,1058,1070,1076,1079,1090,1102,1106,1118,1125,1130,1142,1149,1156,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,18,27,34,47,55,67,73,84,87,96,108,116,119,131,141,152,157,164,172,318,319,330,337,351,353,363,375,380,393,400,411,414,426,429,442,599,607,613,623,628,642,646,655,663,673,682,688,700,711,714,722,734,739,752,755,768,775,784,790,801,811,819,825,838,844,851,860,868,874,884,896,901,911,922,929,939,944,957,965,973,981,988,996,1005,1017,1025,1030,1037,1045,1057,1068,1078,1083,1092,1100,1110,1115,1130,1138,1145,1150,1160,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,8,21,32,41,50,54,67,75,81,90,98,104,113,120,134,140,151,159,162,174,317,319,328,342,348,357,365,372,381,387,402,405,415,424,434,439,447,601,614,624,630,640,651,655,661,674,681,694,700,711,713,726,735,739,752,763,770,773,787,793,802,811,822,826,839,841,854,865,872,874,889,895,903,910,917,929,937,944,955,967,969,976,991,1000,1008,1014,1024,1030,1037,1052,1054,1070,1074,1082,1093,1097,1110,1118,1130,1136,1144,1155,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,20,32,36,47,56,66,76,78,88,98,108,119,125,131,137,147,157,168,172,315,321,328,336,346,360,361,369,380,389,400,409,419,427,432,443,450,600,614,621,629,640,646,658,663,675,681,687,700,710,714,729,737,742,749,759,770,774,780,788,798,810,815,828,837,845,855,861,870,875,889,899,902,908,925,928,937,948,956,963,970,985,990,1001,1008,1011,1025,1029,1037,1052,1056,1070,1071,1086,1094,1102,1111,1121,1126,1138,1139,1149,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,13,21,33,41,45,53,65,70,82,89,96,103,115,124,135,144,145,162,165,171,315,325,331,342,347,360,366,369,385,395,399,412,419,429,430,444,453,609,617,624,628,635,645,653,662,670,678,689,703,707,713,721,732,743,749,755,769,777,787,793,803,813,817,826,835,847,849,865,870,881,889,897,907,914,925,926,935,947,953,966,969,979,993,997,1008,1018,1027,1035,1043,1048,1056,1068,1071,1087,1091,1102,1107,1118,1123,1133,1142,1154,1164,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,12,17,31,42,45,54,60,74,81,92,94,110,119,122,132,142,146,160,164,177,316,326,328,343,349,358,367,373,379,386,400,405,420,426,430,439,599,605,610,624,628,638,650,654,667,670,680,694,701,709,718,721,737,741,746,755,769,779,782,789,805,812,821,831,838,841,848,863,872,880,885,899,904,912,923,932,934,945,955,961,971,982,989,999,1004,1016,1027,1034,1043,1050,1060,1063,1071,1086,1093,1102,1113,1118,1126,1131,1145,1147,1158,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,21,34,40,44,54,67,68,77,90,95,107,115,123,135,142,149,161,169,176,313,325,331,337,349,353,362,369,381,393,399,411,412,426,433,445,598,606,616,621,634,635,644,653,666,673,682,689,702,705,714,728,735,738,752,755,766,778,786,790,798,806,816,823,838,845,851,860,867,880,889,892,903,912,922,927,935,949,954,964,971,983,989,996,1008,1014,1022,1033,1043,1048,1058,1070,1071,1082,1092,1102,1109,1121,1125,1134,1140,1155,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,19,25,38,44,58,63,69,78,88,94,103,118,123,128,137,149,154,166,175,317,319,335,337,346,355,361,372,378,391,400,406,414,427,432,443,597,607,614,623,628,635,646,656,666,676,683,692,699,708,713,723,737,740,752,763,769,779,787,793,800,811,820,828,834,846,848,857,868,882,885,892,904,909,918,931,939,944,951,966,970,980,987,1001,1010,1015,1022,1033,1042,1048,1054,1066,1074,1083,1095,1096,1109,1114,1129,1135,1142,1155,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,25,30,36,47,59,63,69,83,85,95,107,118,126,133,143,150,153,170,172,184,326,335,342,349,354,369,376,379,392,403,405,415,428,430,445,599,608,614,623,629,639,649,659,661,675,682,694,697,704,719,726,729,744,748,761,767,776,786,795,797,813,815,826,838,842,849,861,867,876,886,894,907,908,921,932,936,948,954,963,968,981,988,999,1004,1015,1026,1029,1037,1050,1057,1064,1072,1080,1091,1096,1112,1116,1129,1135,1146,1154,1159,1167,1173	1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
8,14,21,33,38,46,58,61,71,80,93,96,105,118,126,132,144,152,156,169,178,316,321,335,343,344,358,368,377,380,387,401,406,418,423,436,443,600,601,609,626,628,640,645,655,660,670,686,694,696,708,717,724,735,741,752,758,764,776,788,793,797,812,814,825,833,842,856,863,866,877,888,894,902,913,917,927,934,950,957,964,968,979,985,1001,1006,1011,1026,1029,1037,1052,1056,1066,1074,1083,1093,1096,1106,1120,1122,1137,1142,1148,1158,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,23,28,35,45,55,65,70,77,88,102,110,113,123,129,140,149,155,169,171,313,321,331,343,351,360,363,373,383,387,403,410,412,426,435,438,596,608,613,618,633,638,644,656,662,672,681,686,700,705,713,724,736,738,748,762,770,772,780,794,803,808,821,829,835,847,853,859,870,876,886,893,901,911,922,933,941,943,959,964,972,978,986,1000,1005,1018,1021,1034,1040,1051,1057,1064,1075,1083,1092,1099,1105,1115,1127,1132,1141,1155,1160,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,8,23,30,36,44,54,64,73,80,89,97,108,114,127,129,142,147,154,163,173,313,322,334,343,350,359,366,377,381,389,397,405,414,427,433,445,598,609,612,625,634,639,649,652,669,676,680,691,702,707,716,723,736,741,749,757,769,776,785,797,800,811,821,824,837,841,853,859,868,881,884,894,902,913,918,932,935,944,951,961,974,983,993,1000,1004,1018,1020,1036,1040,1046,1057,1069,1070,1083,1092,1100,1107,1113,1122,1136,1139,1149,1156,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,18,28,35,44,57,65,72,81,91,97,106,111,123,129,140,152,159,168,172,317,321,333,339,350,359,363,375,380,390,402,407,420,421,432,440,600,608,615,626,629,637,645,653,662,670,681,687,700,707,712,723,734,744,748,762,763,772,786,793,801,812,815,825,836,847,849,863,866,878,885,893,900,910,923,931,934,948,951,960,973,980,990,994,1003,1016,1021,1035,1044,1050,1055,1064,1074,1087,1094,1102,1105,1121,1122,1131,1141,1153,1161,1166,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,31,36,50,58,64,70,81,92,99,105,119,127,130,137,153,156,164,171,181,324,333,340,347,359,362,370,383,391,400,404,415,422,433,442,455,609,612,620,628,638,644,660,668,671,681,693,700,706,720,721,730,743,754,758,766,772,785,790,802,813,815,827,833,840,850,858,872,878,890,893,900,912,924,930,942,948,951,967,974,984,992,994,1010,1016,1026,1028,1043,1045,1054,1066,1077,1080,1095,1097,1111,1121,1126,1134,1143,1150,1160,1168,1174	1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,11,20,31,36,50,55,61,73,81,91,94,105,118,119,131,139,151,154,162,173,313,324,333,338,344,354,363,374,386,390,397,411,415,424,436,443,599,601,617,618,633,643,647,653,661,670,680,691,703,708,716,723,731,743,752,761,769,776,787,795,803,810,822,825,835,844,856,861,873,878,890,893,907,915,922,926,937,942,951,960,971,983,993,996,1003,1012,1025,1029,1040,1047,1054,1064,1073,1084,1088,1103,1111,1113,1122,1137,1144,1149,1158,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,22,27,40,43,54,67,75,77,91,101,108,112,120,136,142,150,157,170,173,317,320,327,340,344,358,362,369,384,395,397,407,412,428,431,441,596,608,609,625,627,637,645,657,660,677,682,691,702,710,717,722,732,739,749,758,766,776,782,796,802,811,815,827,831,846,848,860,873,879,889,895,905,914,922,926,941,947,958,966,975,977,986,994,1009,1018,1025,1030,1037,1051,1057,1070,1075,1083,1088,1104,1105,1121,1122,1136,1145,1147,1157,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,25,26,37,47,52,60,73,79,86,101,107,115,123,128,144,149,157,166,171,314,326,329,337,346,354,362,371,380,386,403,410,419,426,432,442,596,604,612,620,630,637,647,652,668,669,684,691,699,706,713,725,733,741,754,758,770,772,783,790,805,810,815,826,836,842,856,861,867,882,887,891,907,908,923,929,939,944,951,959,976,982,991,995,1008,1011,1019,1030,1039,1045,1057,1068,1072,1080,1093,1102,1107,1116,1128,1138,1140,1154,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,24,27,34,48,55,62,76,77,93,98,104,117,122,136,142,149,156,163,174,313,319,335,337,351,355,369,375,381,389,400,411,419,429,432,440,600,602,613,624,631,636,646,652,661,673,680,689,701,707,720,721,733,738,748,761,769,777,783,794,799,811,817,823,833,847,855,864,870,879,883,895,907,916,918,929,940,943,958,963,969,982,986,997,1004,1013,1019,1034,1043,1052,1056,1064,1075,1083,1090,1099,1108,1120,1123,1135,1145,1149,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,14,21,26,41,43,52,60,72,78,91,97,107,111,122,131,140,146,155,170,177,317,326,331,342,348,354,363,376,382,388,395,408,413,425,435,438,598,606,610,624,632,643,650,660,666,670,681,693,697,708,714,726,731,738,748,755,769,772,785,796,805,806,821,827,834,840,852,863,874,882,885,898,905,912,920,932,938,943,954,959,974,977,989,997,1006,1013,1024,1028,1039,1045,1055,1069,1077,1083,1088,1100,1110,1116,1124,1136,1146,1154,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,24,33,41,50,56,63,69,79,87,96,110,113,122,133,143,147,157,170,177,315,319,333,343,350,357,366,377,378,392,397,404,420,428,436,439,600,604,617,621,631,635,646,653,668,670,679,693,697,707,716,727,730,741,754,759,766,778,780,794,799,812,818,831,839,846,854,861,869,880,887,894,906,911,925,926,939,948,953,960,970,983,991,996,1009,1014,1020,1028,1036,1050,1061,1063,1077,1084,1095,1098,1105,1116,1127,1130,1146,1154,1163,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,18,27,37,51,57,68,75,85,89,98,103,114,127,136,143,150,153,167,172,317,326,327,338,352,353,362,376,383,388,396,410,416,426,436,442,596,602,616,620,629,636,645,652,662,675,684,690,700,709,718,728,734,744,748,757,769,777,780,791,800,807,820,829,836,845,855,859,868,882,884,897,901,912,919,927,942,944,954,959,973,979,988,999,1003,1018,1025,1033,1043,1053,1061,1068,1075,1083,1092,1098,1109,1119,1124,1135,1140,1151,1160,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,19,32,40,44,51,60,76,77,89,100,104,112,120,132,143,148,161,169,177,316,319,334,336,352,353,365,376,380,393,396,408,413,428,437,445,466,606,616,624,628,638,651,654,661,673,685,693,702,704,719,723,737,739,746,761,767,778,782,795,803,809,817,825,837,842,854,864,868,880,882,899,901,911,918,928,940,949,951,963,971,983,990,1001,1006,1014,1024,1036,1039,1047,1055,1069,1076,1080,1090,1102,1111,1114,1123,1132,1144,1152,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,17,26,37,44,52,60,69,82,86,101,104,116,121,128,140,152,159,165,178,315,319,334,339,344,353,366,369,384,392,398,409,412,427,436,444,599,603,609,621,627,640,646,652,664,673,678,688,699,707,716,727,733,743,754,757,770,777,788,792,799,812,816,829,837,846,850,859,868,874,890,894,904,914,924,928,935,946,954,960,970,983,989,1000,1008,1015,1026,1029,1042,1046,1061,1063,1076,1081,1088,1104,1105,1117,1126,1136,1144,1154,1161,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,24,29,37,45,55,63,75,80,87,97,103,118,127,134,144,150,154,165,172,315,323,335,342,346,356,364,369,380,388,402,408,413,427,435,440,600,607,613,619,633,643,646,659,669,670,682,690,703,711,717,725,733,742,749,757,764,773,787,790,801,809,818,825,835,847,850,858,867,874,889,894,900,915,916,929,940,948,953,959,974,979,986,997,1009,1013,1020,1036,1040,1048,1056,1063,1073,1082,1092,1100,1112,1116,1127,1130,1146,1151,1164,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,19,27,42,45,52,61,75,78,92,99,109,118,124,136,141,152,156,170,171,317,320,329,341,349,359,366,370,380,390,400,409,416,426,435,442,596,604,614,620,628,641,645,657,665,673,686,687,696,708,720,726,731,746,752,756,767,777,781,793,799,814,816,826,835,847,854,859,866,882,889,896,905,910,923,932,942,945,955,963,969,982,993,998,1009,1014,1027,1035,1042,1051,1053,1067,1076,1086,1088,1102,1112,1120,1127,1134,1143,1151,1161,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,21,26,39,46,54,65,76,81,88,100,103,112,121,129,141,151,160,163,177,315,323,335,336,349,353,362,370,381,390,402,411,420,425,437,444,598,602,617,619,629,639,649,658,661,673,680,692,701,709,712,725,732,744,751,757,767,778,787,788,799,806,818,824,832,846,856,860,871,880,883,893,905,915,923,926,937,950,955,966,972,977,991,998,1003,1012,1023,1033,1044,1048,1059,1066,1077,1087,1089,1100,1109,1117,1125,1134,1140,1154,1162,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,17,27,39,47,51,66,73,81,88,101,107,117,123,131,138,146,156,162,175,314,323,333,342,349,353,361,371,381,391,401,405,420,426,434,438,467,601,613,625,626,642,649,660,663,674,684,686,698,703,713,725,733,740,751,755,770,773,787,796,802,806,817,825,834,840,849,862,870,875,886,898,907,911,917,928,936,945,956,966,969,977,989,997,1004,1015,1023,1030,1038,1048,1054,1070,1078,1083,1096,1098,1110,1118,1127,1138,1141,1151,1158,1170,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,14,22,27,42,45,56,65,70,81,93,96,104,117,126,136,137,153,157,170,177,181,322,328,341,350,360,366,374,386,388,402,406,412,423,430,440,458,606,613,620,627,639,645,655,668,674,684,688,696,705,719,721,735,740,749,756,768,775,781,791,801,809,822,827,838,845,856,860,872,878,883,896,901,909,919,931,939,949,955,965,968,983,986,996,1007,1017,1022,1030,1037,1053,1060,1067,1070,1083,1087,1099,1111,1120,1127,1138,1141,1151,1161,1168,1178	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,16,17,32,40,50,55,64,68,85,86,95,109,114,121,131,139,150,160,170,178,179,322,334,339,344,353,363,377,385,388,397,404,417,421,433,445,451,606,616,621,634,640,649,658,665,669,684,692,694,705,717,720,732,743,747,761,771,777,787,795,800,812,820,828,836,845,850,857,867,878,884,897,905,916,922,926,934,945,952,961,971,981,992,1002,1005,1018,1026,1028,1040,1049,1054,1063,1074,1087,1093,1103,1105,1118,1123,1131,1146,1150,1156,1165	1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0
7,13,21,31,38,48,53,60,69,84,85,94,104,111,122,129,140,151,155,166,177,179,321,332,338,347,354,362,371,384,390,399,408,418,423,437,443,456,609,615,622,632,638,644,660,661,677,684,688,698,705,714,725,729,738,752,762,767,778,783,796,802,808,819,825,837,843,855,865,872,881,889,898,904,914,919,927,939,946,955,962,969,977,992,1001,1005,1014,1027,1033,1041,1051,1055,1068,1078,1086,1093,1096,1107,1116,1126,1138,1144,1147,1161,1170,1176	1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,15,23,29,39,50,59,64,76,82,89,99,107,113,122,128,139,152,158,166,176,185,324,330,339,346,359,365,370,380,394,401,405,419,422,437,441,454,602,615,619,631,635,644,657,668,669,681,687,695,704,720,728,733,739,746,762,770,776,781,794,797,811,817,824,835,843,851,862,865,874,883,895,903,909,919,930,935,949,954,966,975,984,987,999,1005,1016,1021,1032,1042,1046,1056,1069,1075,1082,1091,1100,1106,1114,1128,1135,1140,1151,1163,1164,1176	1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,14,17,31,34,45,52,64,71,77,87,97,108,114,125,129,136,152,157,165,173,201,321,328,335,345,353,363,374,380,392,396,408,414,425,431,445,599,605,610,619,629,640,650,654,667,676,679,687,696,710,716,723,734,741,747,758,763,777,787,792,804,809,819,828,835,846,853,857,871,876,883,891,903,909,918,927,936,950,951,962,974,985,988,996,1008,1015,1023,1036,1043,1046,1058,1068,1076,1085,1091,1099,1109,1118,1129,1131,1144,1149,1159,1169,1175	0,0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,10,24,32,37,48,55,62,73,77,91,99,102,117,122,132,142,153,157,167,174,181,318,329,342,351,357,362,371,384,391,398,404,415,426,436,440,597,607,612,623,629,640,646,653,663,671,680,690,698,703,716,722,731,739,746,755,768,779,787,792,805,809,818,824,839,847,848,865,868,874,883,895,906,912,923,933,941,949,958,960,976,980,986,994,1007,1015,1026,1036,1044,1050,1053,1068,1070,1079,1096,1103,1112,1121,1123,1138,1147,1152,1161,1165,1175	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0
4,16,23,25,35,45,59,67,72,79,92,95,108,117,128,130,137,145,154,168,177,187,321,333,341,346,355,368,369,386,390,396,410,418,428,436,444,468,609,614,622,634,638,644,659,663,672,679,690,695,711,718,721,731,739,750,754,769,773,784,793,800,812,816,829,834,847,856,865,868,875,889,899,900,911,922,932,941,946,956,964,969,980,987,1000,1005,1012,1023,1035,1043,1051,1060,1064,1072,1082,1093,1098,1111,1117,1128,1135,1139,1150,1156,1171,1173	0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,24,25,38,50,57,66,71,76,93,101,107,114,123,135,144,146,159,163,171,316,321,335,342,344,353,367,376,383,387,399,411,414,423,437,446,598,602,617,626,628,638,647,654,662,671,679,691,699,711,720,728,731,745,751,755,766,776,781,797,800,809,815,830,838,844,853,858,867,882,886,892,904,909,924,927,936,950,955,964,971,981,987,999,1002,1013,1022,1033,1039,1050,1056,1066,1070,1079,1089,1099,1106,1118,1130,1136,1139,1149,1157,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,32,38,47,52,62,68,78,87,101,109,113,120,135,139,149,160,168,177,191,322,330,338,348,352,362,370,385,389,396,403,415,421,430,441,599,603,613,622,630,642,645,656,667,669,685,689,697,706,713,724,732,739,748,759,768,773,785,793,798,810,815,824,840,846,852,862,870,881,891,892,900,912,917,930,934,950,954,965,970,979,992,996,1010,1013,1021,1033,1038,1052,1060,1069,1077,1080,1090,1102,1111,1114,1129,1134,1147,1148,1162,1167	1,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,14,18,27,38,43,56,68,75,78,87,95,110,116,121,129,139,152,161,165,175,181,321,334,341,351,357,368,376,384,392,398,409,414,422,437,441,598,604,612,621,629,640,647,654,666,672,682,690,696,705,716,723,736,741,750,757,770,771,781,790,804,811,815,829,836,846,855,859,873,876,887,895,904,913,918,931,940,947,952,966,968,979,989,997,1005,1011,1022,1033,1039,1048,1058,1065,1070,1084,1094,1096,1110,1115,1127,1132,1141,1153,1156,1168,1176	1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,11,21,25,34,51,56,63,74,85,88,95,110,114,125,132,144,152,153,169,171,182,322,329,336,352,354,365,375,384,390,395,408,415,427,431,443,469,601,616,618,632,640,651,658,662,674,684,690,695,710,718,723,731,745,748,759,764,774,786,791,802,811,820,825,837,842,855,859,867,874,889,897,903,911,918,926,934,944,954,960,973,976,993,994,1003,1014,1022,1030,1044,1050,1059,1062,1076,1084,1092,1098,1106,1115,1127,1133,1144,1149,1163,1168	0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,9,19,27,40,46,53,63,75,82,90,95,110,113,126,131,143,152,160,162,176,179,320,329,336,349,359,367,373,379,392,395,407,420,423,432,443,467,605,615,619,633,643,646,659,662,676,686,691,699,703,712,726,732,745,747,759,768,777,787,793,799,806,815,822,835,845,855,859,873,878,886,893,900,909,917,928,940,944,951,967,976,977,991,997,1009,1017,1023,1034,1038,1046,1055,1066,1072,1085,1090,1097,1111,1117,1121,1132,1138,1149,1163,1172	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
1,15,25,31,37,47,58,63,69,77,85,101,103,111,123,135,139,150,159,167,177,189,320,331,342,348,353,368,375,385,388,402,404,419,423,434,440,459,602,614,623,632,643,647,652,664,669,686,687,695,706,715,724,736,740,751,755,766,778,787,790,804,809,817,823,834,840,856,860,867,879,884,897,907,913,925,931,940,948,952,963,976,978,988,996,1005,1013,1022,1028,1043,1047,1059,1065,1071,1081,1095,1099,1109,1120,1122,1136,1146,1154,1164,1167,1176	0,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0
5,12,19,33,36,45,58,67,74,79,85,99,110,115,126,129,141,146,159,164,172,179,319,327,337,343,354,367,373,381,391,400,408,416,422,434,439,599,606,613,619,630,638,645,653,665,674,680,688,696,704,713,723,734,739,747,756,766,775,783,790,800,806,820,825,831,845,854,864,867,879,884,896,908,914,918,932,940,950,956,962,968,981,989,999,1007,1012,1026,1029,1038,1052,1060,1069,1075,1087,1092,1098,1107,1120,1126,1135,1139,1147,1162,1167,1176	1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,9,17,32,39,48,53,60,76,80,89,97,108,113,126,136,137,152,159,164,178,316,323,328,335,351,355,362,371,382,389,399,406,415,425,434,445,454,605,616,626,628,639,644,654,663,669,682,689,699,705,712,722,732,740,747,757,768,779,788,792,800,812,821,827,839,846,855,864,872,877,887,891,906,909,922,928,934,947,958,966,973,982,988,999,1003,1014,1020,1032,1039,1051,1059,1068,1077,1085,1092,1099,1107,1118,1128,1133,1144,1152,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,33,39,51,57,63,69,80,87,98,105,114,120,131,141,145,155,164,173,314,320,330,336,343,360,364,375,381,394,397,404,416,424,432,442,450,607,615,618,629,638,651,653,668,672,681,694,699,709,720,721,732,743,750,761,768,773,782,791,801,810,821,831,832,842,854,860,873,874,887,895,902,916,920,927,934,943,955,960,972,979,990,993,1008,1013,1020,1029,1037,1053,1056,1069,1075,1081,1092,1104,1105,1115,1125,1132,1140,1147,1163,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,20,29,40,45,59,65,69,84,88,98,105,112,124,135,139,151,158,169,172,316,321,328,341,352,353,367,376,386,390,402,405,416,423,433,438,599,604,615,620,627,639,650,654,664,670,684,686,698,709,718,722,731,744,752,758,768,772,786,793,803,806,817,824,836,847,850,861,866,874,884,893,907,913,923,931,934,943,958,967,971,980,992,995,1004,1010,1025,1031,1040,1052,1055,1066,1075,1080,1094,1101,1106,1120,1130,1133,1141,1152,1158,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,33,34,50,57,64,69,85,88,98,103,114,121,135,139,149,161,168,173,314,321,330,340,344,356,363,375,381,389,402,407,419,426,434,442,448,602,611,620,633,642,650,652,667,676,679,691,697,711,718,727,735,744,752,763,768,772,784,794,801,809,822,829,831,844,856,861,866,877,884,892,908,913,924,928,936,948,954,964,976,983,989,995,1006,1017,1022,1031,1044,1045,1053,1065,1074,1080,1095,1104,1106,1117,1126,1134,1143,1148,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,24,28,42,44,56,62,69,76,86,94,103,115,126,134,137,153,159,169,172,313,321,332,341,351,356,365,376,380,393,398,408,417,423,432,445,596,608,614,623,632,641,647,658,665,671,681,691,695,705,712,722,730,739,747,755,768,777,782,796,803,813,818,824,836,841,855,859,865,875,888,896,902,913,919,932,935,943,952,961,969,979,987,998,1010,1015,1021,1030,1042,1050,1054,1063,1075,1082,1089,1096,1109,1120,1123,1134,1141,1153,1160,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,31,41,50,55,63,69,83,88,98,106,119,123,135,139,148,157,166,174,315,322,328,336,344,359,369,376,383,392,396,411,420,427,429,438,597,602,615,625,634,638,649,652,668,672,685,689,701,703,718,728,729,740,752,758,767,779,787,796,804,806,821,824,837,841,850,865,872,880,883,895,903,909,922,930,940,943,952,961,976,984,987,998,1009,1014,1026,1032,1038,1050,1061,1062,1075,1084,1090,1098,1105,1116,1122,1131,1140,1152,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,22,30,39,45,55,66,71,77,87,95,109,111,120,133,142,147,160,167,176,315,326,330,337,351,356,365,373,382,390,400,405,414,428,433,444,600,608,613,621,633,640,644,657,663,677,679,694,701,707,718,728,732,740,747,762,765,774,786,793,797,812,821,830,838,842,855,864,869,874,891,893,901,910,918,931,939,945,951,967,973,977,987,1002,1004,1016,1022,1033,1042,1050,1056,1067,1076,1087,1090,1100,1108,1119,1125,1132,1139,1150,1157,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,24,33,36,42,53,63,71,77,91,97,109,112,127,128,137,152,154,164,170,316,318,331,341,346,356,362,374,383,394,400,407,415,424,431,443,599,609,614,624,628,640,650,659,668,676,680,686,701,709,712,728,736,738,752,754,768,773,781,791,800,811,822,827,839,845,853,860,872,875,888,896,906,913,918,929,939,946,953,962,969,982,987,997,1003,1017,1021,1033,1041,1048,1062,1063,1074,1086,1095,1100,1112,1121,1124,1132,1140,1153,1164,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,24,26,35,46,54,67,68,77,91,99,108,113,127,129,136,152,159,164,178,184,319,329,341,349,357,363,370,378,386,400,410,413,426,429,438,600,607,611,625,629,642,644,652,667,672,685,688,698,704,719,723,730,740,752,755,763,776,787,790,805,807,815,826,833,841,849,865,873,879,886,892,908,912,917,927,942,945,954,961,969,982,987,995,1005,1016,1020,1029,1041,1046,1058,1068,1077,1087,1092,1097,1107,1120,1128,1138,1146,1150,1163,1165	1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
7,14,23,33,38,43,58,60,70,79,92,94,104,116,119,128,137,152,155,166,176,313,321,333,341,350,352,368,372,383,388,397,404,419,421,436,440,599,608,613,622,628,638,644,656,661,671,686,687,703,708,717,721,735,745,752,755,763,777,786,796,800,813,819,826,835,846,854,863,872,878,886,893,906,910,918,929,936,946,957,967,971,981,988,1001,1008,1018,1019,1029,1043,1045,1059,1066,1073,1082,1090,1096,1108,1115,1127,1138,1146,1147,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,19,33,36,45,57,64,73,84,91,98,105,113,120,133,141,145,160,169,176,315,323,327,342,345,354,361,374,378,394,400,404,413,420,436,445,598,603,615,623,629,636,648,652,663,677,678,691,701,707,715,720,730,738,747,755,764,777,780,794,800,806,815,826,839,842,854,860,871,879,887,892,905,916,918,926,941,943,954,966,971,981,991,1001,1002,1013,1027,1035,1041,1052,1060,1063,1073,1081,1094,1099,1109,1119,1127,1136,1140,1154,1159,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,21,34,36,43,51,63,70,83,89,98,110,113,126,136,142,146,154,168,177,315,323,327,340,346,359,366,375,380,392,398,405,415,427,433,444,468,606,612,619,634,637,644,657,663,676,681,689,697,704,712,722,729,744,750,759,768,773,788,791,797,806,817,826,839,846,851,862,872,875,891,898,901,908,917,926,935,950,959,965,974,984,990,994,1003,1015,1020,1031,1037,1050,1061,1063,1072,1081,1092,1099,1108,1118,1123,1137,1144,1153,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,15,21,32,39,45,51,60,72,81,93,99,103,116,122,134,144,145,156,164,171,313,320,329,341,349,352,366,370,380,394,397,408,415,426,432,444,468,601,616,626,629,639,645,655,669,677,682,689,700,703,716,720,729,738,749,757,768,779,780,792,803,807,821,831,833,843,856,861,870,879,887,897,900,913,917,925,941,950,959,963,975,979,991,993,1009,1011,1021,1031,1042,1047,1060,1069,1074,1084,1095,1099,1107,1119,1123,1130,1142,1149,1160,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,16,18,30,37,47,53,66,75,78,90,100,104,114,125,136,143,151,160,163,175,186,320,334,339,348,360,367,373,383,392,400,406,414,427,434,446,468,607,614,621,626,638,651,659,663,676,684,688,695,707,714,722,733,738,751,755,768,777,783,789,798,813,818,831,834,846,852,860,873,882,890,895,906,915,918,929,937,948,956,967,974,984,990,998,1007,1011,1026,1036,1041,1045,1056,1066,1073,1087,1091,1102,1105,1117,1123,1131,1142,1147,1161,1173,1178	0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,20,31,35,50,57,60,71,82,87,100,104,111,119,128,139,149,159,163,173,313,324,327,342,348,360,368,374,384,394,401,409,418,420,435,445,463,606,613,621,627,642,647,659,668,674,679,686,702,705,712,725,729,744,751,758,769,779,781,796,805,814,818,823,832,847,848,863,866,878,887,892,908,912,924,927,939,949,951,960,973,978,988,998,1007,1012,1022,1029,1044,1050,1059,1064,1075,1082,1088,1097,1112,1116,1122,1130,1141,1148,1157,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,11,23,26,42,46,54,64,73,79,92,100,106,118,122,136,142,145,155,162,174,316,323,327,338,345,356,369,374,379,388,399,409,414,420,437,439,468,601,617,623,628,639,644,656,669,675,683,690,703,706,714,727,733,740,748,757,767,772,781,793,804,810,816,823,836,842,850,862,867,881,884,893,903,915,922,932,942,944,957,967,971,984,993,1002,1007,1015,1025,1033,1042,1050,1060,1066,1072,1082,1096,1098,1106,1116,1124,1131,1140,1150,1156,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,24,32,38,45,57,62,68,84,86,100,103,117,123,135,143,151,161,164,177,314,321,329,337,350,356,361,377,380,387,400,405,416,425,435,438,450,608,613,622,633,635,649,659,665,670,684,693,697,708,719,720,733,741,746,761,763,775,783,793,801,806,817,826,833,841,850,858,865,881,884,893,905,916,921,933,940,945,956,967,973,983,986,998,1005,1014,1022,1029,1040,1045,1053,1065,1071,1081,1090,1100,1111,1121,1130,1138,1141,1147,1159,1172,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,18,28,35,47,55,63,70,81,88,96,107,116,124,135,140,145,155,167,178,317,318,331,336,348,354,362,371,385,389,396,406,412,424,431,438,596,607,614,620,627,642,645,655,662,673,679,687,703,709,717,728,733,743,751,761,768,777,781,796,803,813,819,828,831,848,856,858,865,876,885,894,906,915,918,929,937,942,951,966,974,981,992,995,1008,1012,1025,1029,1043,1049,1054,1068,1078,1082,1089,1102,1106,1118,1126,1135,1143,1151,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,24,26,41,49,58,61,70,81,88,94,105,114,125,133,138,150,153,164,178,313,322,327,340,345,356,364,377,378,387,395,411,419,425,431,442,466,608,610,620,631,639,645,658,665,674,678,691,701,710,716,726,736,744,753,757,768,777,785,795,800,807,816,824,834,847,853,859,871,877,889,898,906,909,919,930,939,944,956,961,970,981,987,1000,1009,1017,1027,1028,1037,1046,1056,1069,1071,1080,1089,1100,1110,1119,1122,1137,1146,1155,1158,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,24,27,38,42,55,67,76,77,86,99,109,117,127,134,139,151,161,164,176,316,321,329,336,344,353,367,371,382,391,397,404,413,421,435,442,600,602,613,624,633,635,648,654,661,677,683,693,697,709,719,727,733,744,751,762,771,775,788,791,804,806,816,823,833,844,856,859,866,878,888,897,903,909,917,933,938,943,952,963,975,976,988,995,1010,1016,1027,1029,1043,1053,1059,1064,1077,1080,1090,1104,1109,1115,1125,1131,1146,1147,1156,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,20,29,38,50,58,64,71,85,92,95,104,116,127,131,137,146,157,162,177,315,320,328,336,344,353,362,377,383,388,396,407,418,421,436,441,463,608,612,618,631,640,646,656,667,674,683,694,698,711,713,727,733,739,747,760,769,779,782,790,800,810,814,829,832,842,851,865,868,881,887,893,908,910,919,927,941,950,957,961,969,980,991,997,1008,1014,1024,1033,1039,1045,1055,1067,1070,1082,1095,1099,1111,1119,1122,1137,1139,1148,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,8,18,29,35,50,57,64,75,81,87,94,110,118,123,132,144,150,156,162,175,317,324,331,338,349,360,362,375,383,387,399,410,415,424,437,443,457,601,615,623,629,639,643,658,663,672,686,691,696,709,719,728,730,741,753,761,765,776,785,789,799,806,820,831,835,840,854,863,870,877,886,895,900,911,923,931,941,943,958,963,970,980,990,1000,1004,1014,1027,1035,1039,1047,1058,1067,1072,1085,1090,1097,1108,1119,1124,1138,1139,1151,1158,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,18,32,36,44,57,59,73,80,90,102,109,115,123,129,138,145,161,166,177,317,318,334,337,351,356,366,371,385,390,403,404,415,421,435,439,466,605,611,625,634,643,648,657,663,673,679,690,695,703,719,727,729,739,749,755,768,778,785,794,797,809,819,826,832,848,854,865,870,877,890,892,906,909,922,925,934,946,958,965,971,985,988,1000,1007,1014,1020,1029,1040,1045,1056,1064,1072,1083,1093,1098,1105,1116,1125,1133,1145,1154,1156,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,32,38,49,58,66,76,82,87,99,110,114,123,128,142,147,156,168,177,317,324,327,343,345,360,363,375,385,391,400,405,413,423,434,441,596,601,612,620,634,636,646,656,664,675,686,687,697,707,717,721,730,744,753,761,769,772,786,789,798,813,820,828,833,843,849,863,870,879,890,895,900,910,920,933,935,945,957,963,975,980,992,994,1009,1014,1023,1033,1037,1052,1061,1063,1077,1085,1090,1102,1109,1118,1126,1134,1144,1155,1162,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,14,18,26,35,43,57,67,75,80,90,97,102,119,121,132,143,149,159,164,175,318,326,334,335,351,354,361,377,379,394,396,409,416,424,433,439,455,604,611,620,630,642,648,652,662,669,680,693,696,705,716,727,735,743,747,757,770,778,782,796,804,808,814,826,835,842,849,858,871,876,884,891,904,911,922,925,939,943,956,960,975,982,991,995,1004,1018,1027,1031,1037,1045,1059,1068,1074,1083,1095,1101,1107,1119,1128,1134,1142,1153,1161,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,24,29,35,43,52,62,73,82,93,98,103,116,121,131,142,152,153,165,178,314,321,327,341,348,354,363,370,378,391,399,404,418,425,431,444,596,607,609,621,633,636,648,659,661,670,681,693,703,707,716,727,732,744,748,756,769,777,780,793,798,811,819,825,836,845,849,865,869,879,883,898,905,910,919,930,937,945,956,967,973,983,985,994,1004,1012,1021,1034,1039,1045,1054,1070,1078,1079,1095,1098,1110,1114,1123,1134,1146,1151,1159,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,12,19,30,41,44,51,60,76,78,93,94,105,118,125,134,137,146,155,165,173,192,325,328,341,351,352,364,372,384,389,397,408,415,425,434,440,465,606,610,618,627,636,650,652,662,674,684,694,699,707,714,724,733,738,749,760,767,779,783,795,801,812,816,827,837,843,852,862,866,878,884,894,902,908,921,932,936,949,955,960,975,980,987,999,1007,1017,1024,1030,1041,1045,1058,1064,1072,1087,1094,1101,1104,1115,1128,1131,1141,1152,1161,1172	0,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
6,10,17,33,42,43,54,62,69,81,93,101,103,115,126,132,144,146,154,163,171,188,320,327,342,352,355,361,371,386,388,400,407,413,422,430,438,598,607,612,618,630,643,648,653,666,675,681,688,696,703,717,727,732,738,752,758,764,779,788,796,805,810,814,827,833,843,848,857,868,877,887,894,902,909,920,926,935,944,957,965,972,977,990,996,1004,1017,1027,1036,1043,1051,1061,1068,1077,1085,1091,1101,1110,1120,1126,1136,1140,1154,1162,1167,1175	1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,17,30,38,47,56,67,70,82,92,96,110,113,120,136,140,149,160,169,170,201,322,331,342,344,358,366,373,386,390,395,408,417,421,436,443,596,607,609,622,627,639,650,656,664,675,684,686,699,708,713,727,732,744,753,758,764,773,785,796,800,813,814,831,833,845,853,864,869,881,888,892,906,915,922,932,936,949,953,961,975,982,990,998,1007,1018,1026,1028,1038,1051,1060,1070,1075,1082,1091,1097,1107,1116,1124,1130,1146,1155,1159,1171	1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,13,24,33,39,45,58,60,74,78,87,101,109,111,120,134,143,145,158,168,179,181,325,334,336,348,359,363,373,382,387,401,405,418,428,437,444,600,605,617,619,630,641,646,660,666,675,681,689,696,710,720,728,733,740,754,762,764,773,781,790,802,813,819,828,838,846,852,859,870,877,884,899,906,914,922,925,935,946,958,965,974,982,991,1000,1006,1011,1026,1032,1044,1047,1056,1069,1072,1080,1095,1097,1111,1117,1130,1136,1144,1154,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,10,22,31,40,43,51,63,74,84,86,96,103,119,120,135,142,152,154,164,175,183,322,327,342,350,352,364,370,385,391,399,405,414,423,435,440,466,606,614,626,631,642,646,655,662,671,683,689,697,711,716,726,730,739,746,755,771,777,786,795,801,808,816,825,839,846,851,863,867,876,888,899,901,911,919,928,934,949,952,963,970,979,992,995,1008,1019,1025,1028,1043,1053,1061,1070,1075,1082,1089,1102,1111,1113,1126,1134,1145,1149,1161,1168	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,24,25,40,43,52,67,68,82,89,102,110,114,120,136,140,147,160,169,171,183,323,328,340,352,353,366,377,385,393,395,411,415,424,432,442,469,602,615,625,631,637,644,657,661,673,683,694,700,704,719,720,731,745,754,755,766,774,781,792,798,810,820,824,833,840,854,861,873,875,886,892,901,916,921,929,935,950,953,967,974,977,988,999,1010,1015,1020,1029,1037,1046,1059,1068,1070,1085,1088,1101,1107,1116,1129,1138,1139,1148,1161,1166,1178	1,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0
4,9,22,31,41,49,51,65,74,79,91,101,105,113,120,133,142,148,160,167,177,181,320,334,338,344,360,366,372,385,386,402,410,418,421,436,443,462,608,612,623,635,641,649,654,661,670,686,691,700,710,717,724,729,740,749,758,771,772,787,792,804,808,818,828,833,845,849,857,872,874,890,895,901,910,924,930,938,950,957,961,970,978,990,994,1010,1011,1026,1033,1044,1045,1058,1065,1079,1080,1092,1103,1109,1117,1129,1136,1140,1149,1161,1171,1175	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,13,23,26,34,43,56,62,75,77,87,96,110,117,124,134,140,153,158,164,172,181,322,332,342,348,353,366,373,380,391,397,405,418,421,434,441,468,601,615,625,626,642,648,654,663,675,679,693,698,708,719,726,736,740,746,756,763,779,781,793,805,808,820,829,836,847,849,860,873,880,886,894,904,915,922,926,942,947,954,960,976,980,985,1001,1004,1013,1024,1035,1042,1051,1056,1068,1077,1081,1088,1099,1105,1118,1123,1136,1145,1153,1163,1166	1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,9,22,32,36,45,55,63,75,79,86,96,107,117,124,135,138,152,153,166,171,314,320,333,338,349,360,366,374,381,390,402,403,416,423,430,444,468,601,610,623,631,640,644,652,668,670,685,693,698,708,719,725,730,738,750,759,770,775,784,792,798,811,816,828,832,848,857,861,865,878,888,894,907,914,919,933,935,945,954,960,973,978,988,995,1008,1011,1020,1036,1043,1051,1056,1070,1076,1086,1091,1096,1110,1120,1125,1130,1142,1150,1156,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,22,31,42,48,55,64,74,80,85,98,107,112,124,135,142,150,157,167,174,195,324,333,337,350,358,368,373,378,391,401,406,419,426,435,441,597,609,615,618,629,643,647,659,666,673,678,688,697,706,718,720,729,740,754,758,767,779,787,791,804,813,815,827,838,845,854,862,869,874,889,896,900,912,920,932,934,949,959,964,974,977,991,1001,1002,1018,1021,1028,1043,1052,1061,1064,1071,1080,1089,1096,1108,1116,1125,1134,1143,1152,1158,1171,1177	0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,18,26,40,50,54,64,70,82,90,95,103,118,126,135,141,151,158,170,175,179,326,330,342,348,358,365,375,379,393,396,408,414,424,430,444,597,608,615,623,631,640,649,654,661,677,680,687,700,710,717,722,737,743,754,757,771,774,788,792,804,810,818,827,832,844,849,859,870,880,886,894,907,911,922,933,941,947,957,966,971,981,987,999,1010,1018,1021,1030,1040,1053,1061,1063,1072,1082,1095,1099,1108,1121,1129,1134,1139,1149,1161,1170	1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
7,16,23,32,39,50,56,64,71,78,91,97,105,112,127,136,140,145,156,164,171,182,324,334,338,351,355,367,372,382,390,400,405,412,423,433,445,600,607,613,621,628,640,644,655,663,669,682,691,698,703,712,725,730,742,747,754,770,774,783,792,799,810,819,831,838,843,851,863,871,877,887,894,900,916,923,925,941,947,952,961,969,983,990,996,1005,1018,1024,1032,1042,1050,1057,1066,1078,1083,1094,1104,1109,1116,1127,1135,1146,1154,1162,1170,1175	1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,9,22,27,38,48,56,59,69,78,86,100,108,112,127,129,142,146,158,166,177,187,320,334,339,345,354,365,371,383,386,395,403,414,428,430,443,600,604,616,621,629,635,647,660,663,674,680,694,698,711,720,726,730,741,750,755,767,775,785,789,802,806,819,823,838,843,855,862,867,874,891,895,906,908,921,930,935,947,957,960,974,978,990,995,1004,1015,1021,1034,1039,1050,1059,1066,1072,1086,1095,1103,1106,1118,1128,1138,1140,1150,1162,1164,1177	1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,10,22,33,39,50,56,60,74,83,93,102,110,118,120,132,140,147,160,164,174,183,321,334,335,348,352,362,374,380,388,397,408,412,426,431,446,597,606,617,624,633,638,646,657,666,675,685,691,700,706,719,726,731,744,752,758,766,777,783,793,802,813,819,823,839,846,853,862,873,881,883,895,900,914,923,929,934,948,957,959,970,983,992,995,1002,1014,1027,1034,1044,1045,1060,1068,1070,1083,1092,1103,1112,1120,1126,1134,1139,1152,1161,1172	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,17,25,38,49,57,65,69,77,87,97,111,118,127,132,136,146,159,170,178,180,318,334,342,350,354,361,374,384,387,398,407,418,421,435,438,456,604,617,621,633,641,648,659,667,670,680,692,695,708,717,728,734,741,754,758,769,776,785,794,803,811,815,823,835,840,854,862,867,880,891,899,901,916,918,930,939,944,957,961,973,981,989,998,1004,1018,1025,1031,1038,1048,1057,1062,1074,1085,1094,1104,1109,1113,1130,1132,1139,1154,1164,1166,1174	0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
7,11,21,26,36,47,54,68,69,81,88,94,103,115,126,132,140,147,160,164,177,315,321,334,338,352,355,369,377,385,391,395,409,418,428,432,440,598,602,617,622,627,643,647,657,663,673,679,689,695,705,716,726,732,745,746,761,766,774,785,792,802,813,815,824,839,840,852,864,871,881,890,897,902,909,919,927,937,943,953,962,971,978,992,1001,1005,1018,1022,1031,1044,1053,1060,1062,1071,1084,1091,1097,1112,1115,1123,1137,1139,1148,1156,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,27,42,43,54,67,71,84,91,94,105,115,122,129,141,148,153,164,175,316,324,331,341,351,355,364,377,382,388,398,404,420,421,435,439,448,608,609,619,633,636,645,656,660,672,682,693,697,704,719,722,732,740,753,755,763,777,785,790,802,813,818,826,834,843,851,865,872,876,882,893,904,911,921,933,938,942,952,967,972,978,993,999,1004,1014,1025,1033,1039,1048,1057,1065,1078,1082,1089,1099,1112,1115,1123,1137,1145,1153,1160,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,33,40,46,56,66,75,81,93,100,108,111,123,129,136,146,157,163,177,313,326,330,340,344,359,362,376,384,388,399,412,419,426,436,444,471,605,615,621,632,636,648,652,663,672,683,690,701,707,715,723,736,740,750,758,765,779,780,793,799,808,820,824,837,847,850,859,866,874,891,897,900,912,920,930,942,949,951,965,973,978,990,994,1010,1019,1023,1032,1043,1046,1058,1070,1078,1086,1092,1097,1106,1119,1127,1133,1141,1152,1160,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,18,33,35,46,51,67,70,84,90,101,103,115,123,134,145,148,156,165,174,313,322,334,339,349,358,369,373,382,386,401,409,412,422,432,445,599,605,614,623,628,635,643,658,663,673,681,694,695,703,712,728,729,742,751,758,769,774,788,792,798,806,818,823,831,843,848,862,872,876,886,892,903,908,923,929,942,944,951,962,972,984,988,1001,1007,1017,1026,1031,1040,1048,1056,1067,1074,1080,1087,1100,1112,1114,1129,1130,1146,1150,1163,1169,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,9,24,30,41,48,55,64,71,78,92,96,105,114,121,134,143,151,161,165,175,316,326,329,339,351,359,365,370,382,389,397,407,420,423,432,439,451,603,613,620,630,641,644,654,664,672,682,693,702,710,719,724,731,742,752,761,765,772,787,790,801,812,819,826,833,848,853,860,866,878,888,894,901,912,920,926,940,949,952,963,969,977,991,996,1004,1016,1019,1032,1037,1048,1057,1068,1078,1087,1093,1102,1109,1115,1124,1133,1139,1148,1161,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,18,31,34,51,55,65,71,82,91,94,106,119,121,133,139,152,162,164,179,316,318,327,335,349,357,362,375,384,389,398,410,412,422,436,441,457,605,614,620,632,637,643,656,665,677,679,689,697,706,713,726,729,743,750,759,770,776,781,794,801,806,819,825,839,842,854,860,870,881,889,892,900,916,921,925,936,945,957,964,974,978,986,993,1004,1014,1025,1035,1038,1047,1054,1069,1074,1080,1095,1103,1108,1118,1125,1134,1143,1153,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,17,30,36,45,58,60,69,82,88,96,110,113,122,130,144,147,156,165,175,313,324,330,337,345,357,363,370,378,390,402,410,418,425,430,437,596,609,614,619,629,642,651,654,667,669,680,688,698,703,717,727,732,738,748,758,768,775,781,789,798,808,819,826,837,840,855,863,867,876,890,896,905,916,918,932,939,943,956,964,968,980,992,994,1006,1015,1022,1031,1044,1045,1060,1068,1075,1083,1088,1098,1106,1116,1128,1130,1143,1151,1163,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,25,26,42,47,56,67,70,81,88,101,107,118,125,136,144,147,157,169,177,317,326,328,336,351,355,366,370,382,391,401,407,416,421,434,443,600,607,611,618,627,640,651,652,665,670,685,692,695,708,712,726,733,740,748,758,769,774,786,792,803,809,816,825,838,848,849,858,868,880,891,896,907,913,923,931,934,943,959,963,972,984,992,996,1002,1011,1025,1036,1043,1051,1055,1064,1076,1086,1088,1096,1105,1120,1121,1135,1146,1149,1156,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,23,25,36,46,57,65,75,81,85,102,108,118,121,133,137,145,155,168,171,202,325,332,337,347,353,361,374,383,390,401,411,418,422,432,443,596,606,615,619,634,638,644,656,664,672,680,689,697,708,715,728,733,742,747,762,770,776,780,790,804,806,816,829,837,844,849,863,866,876,884,899,905,915,922,933,941,944,951,961,973,982,986,1000,1008,1013,1023,1035,1042,1052,1060,1068,1074,1087,1091,1100,1113,1115,1123,1131,1147,1154,1158,1166,1177	1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
2,16,21,33,37,43,52,63,72,83,87,96,110,118,124,134,142,146,156,170,175,315,326,331,338,346,354,362,374,381,394,398,408,420,426,432,441,598,605,617,624,632,638,650,660,667,677,680,686,703,711,716,721,731,737,749,759,764,772,781,796,803,809,817,823,834,846,855,860,870,882,886,892,901,913,924,930,941,943,956,959,971,980,989,993,1008,1016,1020,1035,1041,1046,1059,1065,1071,1079,1093,1099,1105,1116,1129,1133,1140,1155,1160,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,18,30,37,49,58,62,69,82,93,100,108,116,123,132,139,145,153,169,176,314,320,330,338,349,353,368,370,384,388,403,409,419,423,432,439,597,605,612,622,632,640,648,653,661,671,683,688,701,711,714,720,736,741,749,757,763,776,788,796,805,806,816,830,839,847,853,864,866,879,884,894,905,916,918,933,935,947,957,963,970,978,985,996,1003,1015,1027,1035,1039,1051,1060,1069,1073,1081,1095,1099,1113,1120,1128,1130,1139,1149,1161,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,26,42,51,52,60,76,80,86,94,104,111,126,130,137,153,162,170,176,313,324,330,340,349,358,362,372,386,389,397,409,414,423,434,444,597,607,609,619,634,639,650,659,664,671,686,687,702,706,716,727,732,741,748,758,764,779,781,789,798,813,821,824,834,847,850,861,872,877,889,899,903,912,917,927,937,947,954,966,974,978,985,994,1009,1017,1024,1033,1037,1047,1059,1065,1077,1079,1093,1100,1112,1115,1130,1136,1145,1154,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,21,28,38,42,55,62,70,83,92,94,107,116,124,130,143,149,157,163,173,314,319,327,342,351,357,362,377,381,394,395,412,414,425,430,438,600,605,613,620,629,637,649,656,668,675,684,688,696,709,716,721,734,740,754,759,769,776,788,794,800,807,822,824,836,846,850,858,872,881,886,892,907,912,919,927,942,945,952,965,971,977,993,1000,1006,1011,1023,1031,1040,1047,1057,1062,1075,1081,1092,1101,1109,1116,1128,1132,1145,1150,1161,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,21,34,35,48,59,66,76,77,89,96,104,113,126,134,142,149,154,163,174,191,323,333,343,348,356,367,377,381,392,402,405,416,423,435,441,455,601,615,621,628,635,645,654,660,669,682,688,702,711,720,723,733,738,749,762,768,779,780,796,801,813,822,826,832,846,855,858,871,875,890,894,905,909,922,928,938,950,952,961,968,984,991,1001,1004,1013,1019,1029,1037,1046,1059,1066,1075,1079,1092,1099,1108,1118,1128,1133,1143,1154,1158,1168,1178	1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,9,24,28,37,47,53,67,76,85,92,99,105,115,126,134,138,152,157,162,177,317,324,330,340,352,357,365,374,381,386,399,406,413,427,431,444,457,604,617,620,629,636,648,657,663,674,681,693,698,710,713,728,735,745,748,759,770,772,782,794,802,810,817,825,839,842,849,863,869,881,888,893,903,910,922,927,935,943,958,967,974,983,985,1002,1008,1018,1021,1036,1038,1051,1060,1063,1075,1085,1092,1104,1106,1118,1123,1138,1141,1148,1162,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,19,30,41,44,57,64,73,81,86,94,106,118,123,133,141,153,159,165,177,318,320,332,339,345,353,366,369,383,389,398,410,412,420,432,444,448,604,617,620,629,643,646,654,662,672,682,694,702,704,712,722,735,744,751,755,770,776,780,795,799,812,821,823,835,840,854,865,874,880,886,896,904,910,924,933,935,947,952,961,968,984,987,999,1008,1016,1026,1031,1041,1048,1056,1067,1073,1081,1089,1103,1109,1118,1127,1134,1145,1149,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,28,39,48,52,67,74,80,87,99,108,117,120,130,142,145,155,164,171,316,321,328,337,344,354,364,372,379,387,396,411,412,423,437,440,597,609,610,625,632,640,645,652,668,674,683,694,697,705,720,727,730,744,749,756,770,780,786,791,803,807,819,826,834,843,852,859,870,874,887,896,907,910,923,929,938,944,957,964,974,983,989,1001,1005,1014,1022,1028,1040,1049,1058,1068,1077,1082,1088,1101,1105,1117,1125,1133,1140,1151,1158,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,17,26,36,47,56,60,69,77,85,95,107,114,127,135,140,150,158,168,174,314,325,333,337,350,352,365,376,380,387,397,411,414,423,434,438,447,603,610,619,627,635,647,652,667,676,680,689,697,706,718,725,733,742,746,757,771,779,782,792,803,809,819,824,834,847,852,860,873,876,890,898,906,910,921,925,942,946,954,964,974,980,987,999,1008,1013,1027,1034,1043,1051,1060,1064,1078,1079,1088,1097,1109,1116,1126,1136,1144,1152,1162,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,17,30,34,45,55,64,73,82,88,95,106,115,123,136,138,153,161,163,178,314,321,333,338,350,358,364,371,383,394,401,412,416,428,435,442,461,604,613,623,634,638,646,658,666,675,686,687,695,709,718,726,734,739,753,759,767,774,783,791,802,814,821,829,836,845,854,865,866,882,884,896,901,912,925,933,937,948,953,967,975,979,989,1001,1002,1018,1025,1030,1043,1045,1054,1062,1078,1082,1089,1100,1107,1116,1124,1134,1147,1150,1157,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,11,23,31,42,43,59,63,70,83,86,96,107,113,122,131,144,145,161,165,175,314,321,327,335,350,359,369,375,383,386,396,405,413,422,436,439,597,603,613,618,632,639,650,656,669,673,678,690,699,708,717,726,733,738,751,760,768,779,786,789,799,812,817,826,839,843,853,863,866,876,887,897,902,913,925,931,939,943,956,960,972,984,987,1000,1005,1016,1025,1036,1039,1046,1057,1069,1073,1086,1094,1100,1106,1117,1128,1134,1142,1154,1164,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,24,31,34,44,56,63,72,83,91,100,103,117,127,135,143,149,158,169,176,317,323,335,343,345,354,365,376,385,393,400,403,418,428,430,444,597,601,616,621,632,635,646,657,663,672,682,688,699,710,714,726,736,740,752,762,768,772,782,790,798,811,817,825,833,841,849,859,869,875,890,895,904,913,920,932,934,943,951,968,973,981,989,1001,1007,1016,1020,1031,1042,1051,1054,1067,1077,1082,1089,1100,1112,1121,1126,1135,1141,1152,1159,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,27,34,49,54,68,69,83,92,96,110,115,126,130,139,146,156,166,178,316,325,331,337,346,356,361,371,378,393,399,410,416,424,435,443,470,602,617,622,630,640,646,656,665,675,680,686,696,708,714,727,731,737,754,761,769,774,781,795,797,811,819,823,837,848,854,861,872,882,885,892,904,915,922,927,940,949,953,963,973,982,987,999,1010,1012,1026,1030,1039,1050,1062,1066,1075,1079,1091,1099,1105,1118,1123,1134,1141,1155,1157,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,10,25,27,37,46,54,61,71,82,90,100,102,113,124,130,139,145,157,167,173,314,322,331,338,346,358,362,369,379,388,395,407,417,421,437,442,463,608,610,624,632,642,646,656,663,674,683,688,696,709,717,725,730,741,749,758,766,775,787,792,798,814,819,824,833,846,855,861,869,881,884,898,907,910,918,926,939,942,951,960,975,980,988,994,1006,1014,1026,1029,1041,1053,1060,1068,1077,1085,1093,1102,1104,1120,1124,1133,1139,1153,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,32,37,49,58,68,72,77,87,101,103,119,122,135,142,148,159,170,176,318,324,332,336,351,358,363,375,379,390,397,406,418,425,430,440,460,605,616,620,634,643,649,660,664,675,680,693,699,705,716,725,736,737,749,760,764,772,782,793,797,807,816,826,831,843,855,860,872,876,889,895,901,914,918,930,939,945,958,967,973,977,992,996,1010,1011,1027,1034,1037,1050,1058,1062,1076,1083,1088,1096,1112,1118,1129,1135,1143,1155,1156,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,16,19,32,40,45,53,62,71,85,93,96,103,112,119,131,142,146,154,167,175,316,325,331,339,346,353,363,376,378,387,399,407,413,428,437,444,459,607,610,626,630,638,646,658,662,672,682,692,701,711,718,722,734,739,749,763,764,778,787,793,804,807,821,826,833,846,851,861,870,881,890,896,902,916,920,929,941,950,953,966,972,982,988,1000,1003,1016,1025,1033,1042,1047,1054,1067,1070,1080,1094,1098,1105,1117,1122,1135,1139,1147,1162,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,18,31,35,48,53,66,75,78,87,94,106,115,122,128,142,150,161,166,171,313,320,335,341,345,356,367,369,380,387,397,407,417,426,436,444,447,608,615,621,628,638,650,656,661,673,681,692,701,704,718,723,732,744,750,757,770,778,787,793,805,810,816,829,833,844,856,857,868,882,884,894,902,912,918,925,936,950,953,960,974,983,991,996,1005,1011,1024,1033,1040,1049,1057,1066,1072,1083,1089,1096,1105,1121,1125,1137,1144,1149,1159,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,24,32,36,42,58,65,73,84,93,98,107,113,126,135,138,150,154,167,171,185,323,327,336,350,354,363,375,382,387,403,407,414,422,429,443,468,602,610,622,633,637,645,657,664,677,683,694,698,707,715,725,729,738,748,759,769,774,783,790,798,808,814,825,831,846,857,864,872,877,885,894,903,916,917,925,942,950,956,961,975,979,991,999,1003,1013,1027,1036,1037,1050,1055,1066,1070,1079,1093,1104,1110,1117,1125,1134,1139,1153,1161,1172	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,25,29,35,43,57,61,69,81,91,96,110,117,125,133,137,148,153,163,176,190,326,333,338,345,360,365,370,383,386,395,408,415,427,434,439,467,607,611,625,629,638,647,656,663,670,680,690,700,703,717,728,735,742,753,756,770,773,787,794,802,808,822,828,839,840,853,857,868,877,885,896,903,913,917,932,940,945,954,965,975,980,987,999,1009,1012,1020,1032,1042,1047,1060,1062,1076,1082,1089,1099,1107,1118,1122,1136,1139,1151,1158,1166,1175	1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,9,25,29,36,48,53,66,68,83,92,98,104,111,121,129,144,145,155,164,171,186,321,333,339,350,356,365,374,378,391,401,409,416,427,433,444,468,609,611,623,631,643,647,655,668,673,685,691,695,709,712,723,729,739,748,762,763,775,785,796,803,814,821,830,837,845,854,864,871,879,886,892,908,909,920,933,938,947,957,961,973,983,988,995,1008,1011,1023,1031,1044,1045,1060,1066,1072,1084,1089,1097,1108,1113,1123,1135,1145,1148,1158,1170,1173	1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,16,21,30,36,49,58,63,68,79,86,94,105,114,123,128,140,147,155,165,172,187,319,331,343,347,353,364,370,385,386,403,410,420,421,434,443,462,609,614,621,631,640,650,654,662,676,684,691,700,705,712,724,729,744,751,755,764,776,786,791,797,811,822,825,839,840,849,860,867,878,889,899,906,916,922,932,941,951,954,967,975,980,992,996,1004,1013,1023,1028,1037,1049,1054,1064,1073,1086,1093,1104,1108,1119,1127,1130,1141,1154,1162,1172,1173	0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,12,24,28,40,51,54,62,76,81,92,94,105,113,125,132,137,151,158,166,170,182,323,333,342,344,356,368,372,384,394,402,405,414,426,437,444,599,608,615,620,630,638,647,660,662,677,681,688,702,711,720,723,731,741,752,758,770,777,784,792,798,813,818,824,837,847,848,858,870,879,883,893,904,914,918,932,935,950,954,966,969,979,988,997,1002,1013,1026,1035,1042,1048,1053,1063,1075,1083,1090,1099,1108,1115,1123,1134,1142,1153,1162,1166,1174	1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
1,9,17,27,40,48,51,61,72,82,87,94,110,114,122,135,136,150,155,168,170,184,322,331,337,345,356,363,374,378,388,402,408,413,427,433,444,470,603,609,623,633,643,648,657,662,670,682,686,700,711,712,720,730,744,749,754,764,775,785,791,801,812,820,824,833,846,856,860,871,879,885,897,904,911,919,929,934,950,953,965,969,980,986,998,1009,1014,1021,1032,1039,1048,1060,1069,1078,1083,1095,1104,1105,1121,1124,1134,1143,1149,1162,1169,1174	0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,14,20,26,37,45,54,67,68,79,90,101,103,111,119,133,140,153,156,164,171,185,319,327,341,343,356,363,373,385,393,397,410,418,423,432,438,597,606,616,619,628,637,651,659,667,670,679,687,696,709,718,724,729,738,746,760,763,776,782,795,801,810,820,826,838,846,856,862,871,875,884,899,902,910,921,928,935,943,958,964,969,981,992,996,1006,1010,1021,1032,1036,1046,1059,1063,1077,1085,1090,1104,1111,1118,1124,1134,1143,1150,1161,1166	1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
2,10,21,33,34,44,55,68,71,80,90,102,109,112,120,132,142,150,161,169,174,184,323,330,342,348,357,368,370,380,392,401,410,413,423,429,440,597,608,612,625,633,643,649,652,666,675,678,689,702,704,712,721,735,739,751,757,764,771,788,794,805,811,822,826,834,841,848,857,873,876,889,894,907,915,920,933,936,945,952,959,968,981,990,1000,1002,1017,1022,1027,1040,1046,1054,1065,1074,1081,1089,1098,1108,1113,1126,1137,1144,1147,1164,1166,1177	1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,12,24,32,37,45,58,64,74,80,85,99,109,112,127,132,139,150,154,168,170,314,322,327,341,348,355,361,370,382,390,402,410,415,424,432,445,599,607,612,622,634,637,645,660,663,670,685,692,696,711,717,722,730,740,750,755,763,779,786,789,800,814,816,824,839,846,856,862,871,878,885,892,903,912,923,930,938,943,954,966,971,983,993,995,1006,1015,1020,1029,1041,1048,1054,1070,1072,1082,1088,1102,1108,1116,1122,1132,1142,1152,1163,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,19,31,38,44,55,66,75,82,90,95,105,115,125,129,141,152,156,164,174,190,324,329,343,346,352,363,377,379,392,401,409,416,429,437,444,598,609,611,619,627,638,649,652,667,669,681,693,697,707,712,723,731,741,747,756,766,771,782,789,799,808,821,826,834,843,850,862,873,876,890,895,906,914,920,929,937,949,954,964,969,981,993,997,1006,1014,1021,1033,1037,1045,1055,1069,1078,1086,1090,1103,1106,1115,1126,1133,1143,1147,1162,1168,1177	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,14,18,31,37,47,58,63,72,80,87,99,103,116,121,128,141,152,160,165,174,181,321,327,340,346,355,364,371,382,393,395,409,414,428,431,443,453,602,611,624,627,643,644,652,666,677,678,687,695,708,715,727,736,745,752,759,770,773,785,796,804,810,820,826,838,845,854,858,872,878,891,897,906,908,923,931,941,945,955,967,972,979,990,999,1005,1012,1026,1036,1043,1052,1061,1062,1074,1083,1091,1097,1108,1118,1125,1132,1143,1150,1156,1169,1176	0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
8,13,18,32,34,50,54,62,71,79,92,97,108,111,120,136,144,147,160,168,175,183,322,331,343,349,355,369,377,386,387,400,405,417,424,434,444,597,601,610,623,632,635,647,659,666,674,682,692,702,705,716,720,736,744,753,760,770,776,786,795,804,806,816,826,839,847,854,859,871,877,887,896,900,912,920,931,936,944,952,959,975,979,992,996,1008,1015,1027,1036,1043,1052,1054,1062,1076,1082,1089,1102,1108,1121,1124,1132,1139,1152,1158,1166,1174	0,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,8,25,33,39,47,56,61,73,78,88,102,109,112,127,132,140,147,155,164,173,184,321,332,340,346,360,366,372,384,394,398,405,416,425,429,439,600,602,614,625,628,638,645,653,665,677,679,692,696,706,719,724,730,738,749,761,770,771,788,796,802,811,819,824,837,846,854,857,871,881,888,894,904,911,920,930,935,949,957,964,970,976,985,999,1005,1016,1026,1028,1042,1053,1060,1067,1077,1087,1092,1098,1112,1113,1124,1131,1143,1155,1160,1166,1176	1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,9,21,32,37,49,57,68,71,83,91,101,103,111,120,135,138,148,161,162,176,179,324,328,338,351,358,364,373,383,392,398,411,418,422,437,439,466,601,617,619,626,641,646,660,665,677,684,691,696,711,717,723,733,743,748,760,766,777,782,794,800,811,816,824,836,840,856,858,868,874,890,898,906,914,923,930,940,943,951,960,968,977,985,1001,1002,1011,1021,1031,1044,1046,1058,1068,1071,1084,1093,1099,1112,1119,1123,1134,1141,1151,1159,1171,1173	1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
4,11,18,32,36,45,53,66,76,81,92,100,106,114,122,129,141,148,154,168,172,181,326,331,343,351,353,362,370,385,395,403,410,417,423,436,446,449,606,616,620,632,638,651,657,661,676,685,688,695,708,715,726,731,741,752,755,768,779,788,795,799,812,817,827,837,842,853,862,873,881,884,897,907,912,918,928,937,950,957,965,973,983,987,995,1007,1013,1027,1032,1038,1049,1057,1067,1077,1086,1089,1098,1107,1120,1122,1136,1147,1153,1156,1171,1173	0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,14,22,27,37,45,51,68,76,79,85,99,104,112,122,134,139,146,155,169,175,313,319,328,336,347,354,362,370,384,392,399,405,418,428,429,438,465,604,614,618,633,641,645,657,661,674,679,691,702,706,716,724,730,738,749,759,763,776,787,794,799,808,817,828,837,844,851,858,874,877,883,896,904,914,922,933,938,947,955,967,974,985,989,997,1003,1015,1023,1029,1041,1045,1058,1062,1075,1082,1093,1097,1107,1117,1122,1130,1141,1149,1164,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,32,37,50,54,63,72,79,91,100,103,119,122,133,139,153,155,162,178,318,325,331,343,351,358,365,372,378,391,399,404,413,429,430,438,467,601,613,621,633,639,646,657,662,674,681,688,696,711,719,725,734,740,749,758,764,775,781,793,799,813,817,824,833,847,853,859,873,882,889,896,907,909,923,933,934,949,954,962,969,983,989,999,1007,1015,1023,1035,1039,1050,1059,1066,1077,1079,1090,1104,1108,1119,1127,1138,1147,1154,1160,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,20,31,36,47,55,65,72,82,93,99,104,116,124,136,140,145,156,165,174,317,325,329,335,348,353,364,375,381,395,401,408,412,425,430,445,598,606,611,625,633,638,647,656,661,669,678,689,698,703,717,723,732,738,746,755,771,774,787,792,797,809,820,826,836,841,853,858,868,877,888,892,902,915,921,928,940,948,952,967,970,982,993,1001,1009,1018,1024,1029,1038,1052,1061,1063,1076,1084,1091,1099,1105,1116,1129,1137,1140,1155,1157,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,23,33,39,43,52,62,74,82,90,95,105,113,121,133,143,148,161,170,176,314,319,332,342,345,356,366,371,381,393,403,407,417,421,437,441,448,606,616,620,627,643,649,653,661,676,679,690,698,710,716,722,732,744,753,761,768,779,785,795,801,808,818,823,832,848,853,859,866,877,886,892,903,915,924,931,934,949,955,961,973,977,988,1002,1009,1015,1026,1030,1039,1053,1060,1065,1074,1079,1089,1102,1111,1118,1128,1130,1141,1152,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,19,30,40,45,57,68,75,77,86,97,104,115,125,132,143,147,155,162,174,316,325,334,336,346,358,367,370,378,394,396,409,412,421,436,440,598,604,617,619,634,638,648,658,666,673,684,687,702,708,713,722,737,740,748,762,770,773,788,789,801,807,816,830,839,844,854,862,869,874,886,895,907,911,921,932,939,944,955,965,975,979,991,994,1005,1014,1027,1031,1042,1049,1059,1062,1072,1080,1090,1101,1107,1116,1130,1137,1143,1151,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,25,27,40,51,52,60,76,84,88,98,109,116,126,128,142,150,158,162,176,314,324,333,342,349,357,369,372,384,394,398,407,414,426,436,444,598,603,617,623,629,637,646,658,666,675,685,693,695,705,714,721,730,743,754,758,763,777,780,794,800,814,818,823,837,846,853,861,869,881,883,893,903,912,922,932,939,948,954,960,975,979,986,1000,1008,1015,1025,1031,1040,1045,1057,1066,1070,1085,1092,1099,1105,1118,1126,1131,1143,1150,1156,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,22,25,35,47,54,61,73,84,86,97,110,114,127,133,136,151,155,162,178,316,320,332,338,351,357,362,376,385,394,399,411,418,424,430,441,453,601,615,618,627,636,643,656,667,670,678,691,701,709,714,721,733,738,750,756,766,776,780,790,799,811,821,830,832,847,851,857,868,877,888,898,906,913,923,932,937,943,954,962,969,977,992,999,1002,1018,1022,1030,1038,1050,1054,1070,1071,1084,1087,1096,1112,1117,1129,1137,1146,1154,1157,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,17,27,37,50,59,66,74,80,93,95,109,116,125,136,141,145,154,163,173,314,321,331,336,344,360,368,376,380,392,399,404,413,421,430,438,600,604,613,625,633,636,648,660,666,674,686,692,701,710,718,724,730,740,752,761,769,773,784,791,798,806,820,829,835,847,855,865,869,875,889,894,904,913,922,933,934,947,951,965,973,979,985,997,1002,1012,1027,1029,1040,1046,1059,1067,1074,1082,1096,1098,1108,1113,1130,1134,1141,1148,1160,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,31,38,44,52,68,73,80,90,96,107,112,123,129,137,145,155,162,172,182,323,334,340,349,358,363,374,382,393,403,410,413,427,437,438,598,602,615,618,626,635,647,653,666,673,680,692,697,708,719,720,729,742,751,758,767,773,780,794,798,806,819,823,838,846,853,865,872,882,886,897,902,909,918,930,941,948,959,961,970,979,989,994,1003,1010,1020,1034,1039,1050,1053,1070,1078,1085,1092,1101,1109,1120,1126,1132,1143,1155,1160,1164,1178	1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1
8,13,20,30,34,45,53,66,74,78,90,95,104,113,123,134,142,146,157,169,177,316,322,333,336,350,352,363,372,378,387,403,407,418,421,429,438,597,604,617,624,633,643,644,653,669,670,680,694,703,707,716,721,735,737,749,762,767,772,788,796,803,810,817,825,836,842,849,863,867,881,885,898,903,914,921,925,935,949,951,964,973,982,987,1001,1005,1011,1020,1030,1041,1046,1058,1067,1078,1082,1093,1102,1110,1115,1127,1134,1146,1153,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,20,27,35,48,53,63,74,84,85,95,109,115,125,131,138,145,157,167,176,316,320,333,340,346,358,362,370,383,386,401,409,413,425,432,441,598,607,613,622,628,635,650,652,667,671,685,687,702,706,718,723,734,744,746,760,766,778,781,797,802,809,818,824,835,846,849,858,865,878,885,892,907,908,921,927,939,946,957,966,971,979,988,1001,1007,1011,1024,1035,1037,1050,1058,1062,1073,1081,1090,1101,1113,1116,1129,1135,1146,1150,1160,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,18,33,39,44,51,61,71,81,93,95,106,113,123,132,141,148,157,166,173,313,322,334,337,346,355,367,377,381,388,396,408,417,429,430,443,460,603,611,624,627,637,650,653,666,670,679,688,698,705,711,724,732,740,750,759,764,779,787,794,803,810,819,828,835,842,850,863,871,880,891,898,907,915,919,932,939,949,957,967,969,982,990,996,1010,1014,1026,1029,1044,1051,1060,1065,1072,1083,1088,1097,1109,1114,1127,1130,1140,1151,1158,1172,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,25,32,38,50,58,65,75,79,88,102,107,114,127,129,138,150,159,165,171,313,318,333,343,351,353,366,373,384,388,395,409,418,424,430,444,596,605,613,623,628,640,649,659,663,674,679,693,699,707,716,721,729,745,749,759,769,773,781,796,797,806,821,828,832,843,849,857,870,880,886,892,900,913,923,931,940,947,951,960,969,980,988,997,1008,1014,1019,1034,1041,1050,1056,1062,1072,1083,1091,1099,1106,1116,1126,1134,1145,1153,1162,1167,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,23,26,34,48,55,63,69,84,91,100,105,115,119,129,140,149,159,162,177,180,325,326,336,345,354,361,374,382,392,398,407,413,422,431,442,452,601,616,622,629,639,646,658,668,676,680,692,699,709,717,725,736,739,747,758,765,774,780,793,805,812,818,827,833,843,854,862,873,881,885,893,907,916,917,930,941,945,956,963,969,978,988,997,1002,1018,1024,1035,1040,1050,1057,1064,1077,1086,1091,1101,1107,1117,1123,1137,1140,1148,1157,1167,1176	1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
8,14,20,28,34,43,54,65,75,83,85,101,105,115,119,134,145,146,158,163,177,314,321,329,339,344,360,363,373,384,393,399,409,418,421,431,443,598,608,616,624,629,635,644,660,666,673,682,688,694,704,716,725,733,738,752,760,769,779,781,789,798,811,822,828,838,846,855,857,873,874,886,897,905,911,921,933,941,947,951,961,975,983,991,1002,1006,1018,1023,1032,1038,1052,1053,1066,1079,1082,1089,1099,1112,1114,1129,1131,1144,1153,1162,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,17,33,38,49,55,68,72,84,87,99,105,112,122,130,145,151,154,168,174,316,324,331,337,352,356,369,376,384,389,400,409,414,427,429,442,456,602,613,618,634,640,647,652,668,675,681,692,703,710,714,727,736,743,746,754,770,776,783,790,799,812,817,825,839,845,854,857,869,881,886,896,904,909,922,926,936,943,951,962,969,982,985,995,1004,1014,1024,1030,1036,1049,1055,1063,1074,1083,1092,1101,1109,1115,1121,1131,1140,1155,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,19,31,34,51,59,60,71,84,88,94,110,112,122,132,142,151,158,167,177,313,325,330,336,348,356,368,371,385,389,397,407,418,421,432,445,469,609,616,622,627,640,652,657,666,670,681,687,697,711,719,722,730,739,750,761,765,772,785,792,798,810,820,830,837,848,856,861,865,876,883,896,903,912,917,925,940,948,955,963,974,985,988,1000,1006,1012,1022,1029,1037,1051,1061,1065,1076,1079,1093,1097,1112,1114,1127,1134,1144,1154,1159,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,21,30,42,51,58,66,73,78,87,95,102,114,121,132,140,148,161,162,173,316,320,331,343,348,355,368,376,384,391,403,409,415,423,436,440,596,605,611,619,627,638,651,660,667,673,680,690,702,710,718,728,736,740,750,756,767,777,781,796,798,812,818,825,837,844,851,864,873,879,886,892,905,910,920,933,939,948,958,967,970,984,988,999,1007,1014,1022,1030,1038,1050,1056,1063,1073,1080,1094,1100,1112,1119,1129,1133,1143,1151,1162,1165,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,9,20,30,39,49,56,61,73,82,86,98,109,119,121,130,138,148,158,166,171,317,318,327,343,347,357,368,369,379,387,398,404,417,423,434,438,599,603,616,626,631,639,648,652,662,669,681,692,702,710,719,722,733,741,750,754,768,775,788,790,802,806,821,825,832,840,851,865,868,880,883,894,899,909,919,927,940,944,955,962,974,978,991,999,1008,1013,1021,1029,1037,1049,1056,1069,1073,1082,1089,1104,1112,1115,1126,1131,1139,1151,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,15,19,27,41,47,59,67,74,78,92,96,109,118,125,131,136,147,160,168,170,317,318,332,342,344,357,362,370,384,391,400,405,416,426,437,446,599,605,610,621,629,636,644,652,668,677,683,690,700,704,718,720,731,743,754,762,767,778,784,795,802,809,819,827,834,848,853,864,870,878,890,895,903,914,917,929,935,949,952,962,972,981,987,1000,1010,1017,1021,1032,1038,1047,1060,1062,1075,1079,1087,1098,1110,1121,1127,1131,1146,1151,1160,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,23,30,35,49,53,60,71,78,90,96,102,112,120,131,143,145,158,170,177,316,319,333,335,344,360,369,371,383,394,400,411,420,421,437,443,596,604,610,625,627,642,650,656,667,676,681,689,699,710,718,724,731,738,746,756,766,775,786,791,799,810,814,827,833,848,851,863,869,876,885,897,900,916,919,930,936,948,955,964,976,977,991,999,1010,1014,1027,1035,1038,1050,1058,1068,1073,1085,1093,1098,1109,1121,1129,1135,1143,1154,1159,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,23,33,38,43,59,60,74,82,89,94,108,116,120,131,138,146,154,162,174,315,324,334,340,352,358,367,377,385,386,396,404,416,421,429,443,600,606,611,619,631,636,646,658,667,677,678,689,697,705,712,727,737,739,754,755,768,773,780,796,799,813,819,824,833,846,854,862,868,877,885,893,902,913,918,929,937,942,957,965,972,981,993,1001,1009,1016,1024,1032,1043,1045,1061,1063,1073,1081,1088,1102,1107,1116,1126,1135,1142,1151,1163,1167,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,15,17,27,40,49,58,63,74,83,86,98,107,118,122,135,138,146,160,167,173,316,322,327,343,348,357,362,372,384,392,396,405,416,423,433,441,599,606,614,626,630,635,645,660,661,674,683,689,700,705,716,722,732,741,753,762,767,776,784,795,799,810,822,824,839,841,855,865,869,881,891,896,906,909,922,928,935,943,954,961,973,983,988,1002,1010,1015,1022,1029,1042,1050,1061,1068,1073,1086,1087,1104,1110,1114,1129,1138,1144,1154,1164,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,21,32,40,50,58,66,69,84,90,94,107,112,124,131,138,149,159,170,174,313,321,333,337,351,355,368,373,383,390,400,406,418,428,431,440,467,608,615,620,632,638,648,654,665,671,678,687,696,711,717,726,729,741,747,756,768,773,781,795,802,806,822,830,833,843,851,859,870,877,883,892,904,911,919,932,939,945,955,959,976,977,987,997,1006,1019,1023,1030,1038,1050,1056,1066,1078,1086,1093,1099,1106,1114,1130,1138,1141,1153,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,28,41,48,58,63,74,80,88,97,108,111,122,134,143,146,161,165,174,317,320,328,343,345,360,368,376,386,391,402,408,412,421,437,442,597,605,612,618,631,638,644,659,665,672,678,693,697,703,716,727,736,740,752,757,769,772,781,792,805,811,822,823,839,842,851,865,867,874,883,893,906,916,919,931,938,950,957,967,968,984,987,997,1002,1014,1019,1032,1039,1047,1056,1067,1077,1082,1094,1102,1106,1117,1129,1137,1145,1148,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,15,25,32,39,48,59,62,75,82,90,96,104,111,122,134,137,148,155,167,175,316,323,335,340,346,357,363,374,382,387,401,408,418,422,433,445,458,603,617,625,634,640,644,657,661,675,686,691,699,710,718,725,734,740,746,761,771,775,788,793,803,812,818,823,834,840,854,863,870,875,885,898,903,916,921,927,939,947,957,967,969,982,989,994,1008,1015,1023,1029,1042,1052,1060,1068,1075,1084,1092,1096,1109,1115,1125,1136,1139,1154,1163,1171,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,22,30,37,49,55,62,73,80,93,99,107,114,121,130,144,151,155,167,175,180,320,331,340,349,355,366,370,381,389,402,410,417,423,437,443,600,602,611,625,627,641,648,660,665,669,686,687,699,709,715,727,735,739,752,759,764,779,781,790,805,814,819,830,832,840,849,863,870,876,887,898,902,916,921,926,934,950,959,962,968,983,992,998,1003,1012,1026,1029,1038,1047,1053,1066,1074,1079,1094,1103,1109,1114,1127,1136,1145,1152,1162,1164	1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,22,32,39,50,59,65,71,77,87,96,105,116,125,135,144,151,154,163,171,189,321,333,340,346,359,366,369,383,393,400,410,420,423,436,444,597,606,611,626,629,640,647,653,669,673,680,687,700,704,716,722,733,743,754,761,764,778,786,791,803,808,817,828,838,847,849,858,871,876,890,899,900,912,918,928,935,947,952,962,974,984,985,1000,1009,1013,1019,1034,1042,1045,1062,1065,1074,1080,1093,1098,1104,1121,1125,1133,1145,1148,1161,1168,1174	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,13,21,29,40,47,57,67,75,79,85,99,103,115,122,129,139,147,159,162,178,180,322,332,337,344,357,361,375,381,392,395,411,420,421,434,443,467,607,610,621,626,639,647,658,668,673,684,693,702,705,716,724,736,741,747,755,765,779,781,791,800,812,817,825,836,844,853,860,872,877,891,894,906,909,917,927,941,948,953,965,969,981,991,999,1002,1014,1022,1032,1037,1046,1055,1065,1074,1087,1090,1099,1107,1118,1123,1132,1139,1147,1161,1172	1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
6,10,23,26,42,47,53,61,72,83,93,94,103,114,125,130,143,145,161,165,177,179,321,328,337,349,359,363,377,383,388,398,408,419,421,433,445,599,607,614,625,634,639,649,656,665,670,682,688,701,708,712,722,732,743,749,759,771,774,786,797,798,814,815,823,832,841,853,857,870,878,890,896,907,912,925,929,941,950,958,967,975,982,989,1000,1003,1019,1021,1036,1039,1045,1060,1063,1070,1085,1092,1099,1113,1118,1129,1131,1144,1147,1161,1165,1173	0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,16,23,30,39,44,58,65,76,83,91,101,105,113,120,128,141,149,159,168,178,186,320,329,343,344,360,365,373,378,391,401,409,412,425,431,439,597,609,614,621,634,635,649,659,664,675,682,693,696,707,719,726,731,739,749,759,764,774,783,791,804,806,820,828,838,847,848,863,871,877,884,897,905,908,918,927,934,948,956,965,976,983,993,1000,1010,1014,1024,1029,1039,1048,1056,1070,1078,1084,1089,1104,1112,1120,1126,1133,1140,1152,1161,1171,1175	1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0
5,15,23,25,36,46,54,62,73,77,86,101,108,117,127,130,140,151,157,170,172,180,323,331,335,351,359,365,372,383,388,402,409,413,429,435,441,596,601,616,619,631,640,651,652,661,674,679,693,701,706,718,728,733,745,749,759,769,779,786,790,800,810,817,828,833,848,855,860,872,877,887,899,905,912,920,931,935,943,958,961,969,980,988,998,1005,1018,1024,1029,1044,1046,1059,1064,1078,1086,1088,1097,1112,1115,1129,1131,1141,1153,1162,1166,1176	1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0
5,15,18,32,39,48,56,64,73,76,91,97,108,119,120,131,138,153,162,167,175,191,318,327,341,345,358,361,376,379,395,403,407,412,425,431,445,463,609,615,624,628,636,649,660,665,677,684,691,702,710,719,727,735,745,747,760,768,778,782,792,799,807,820,824,831,846,850,864,874,878,884,899,900,909,922,932,935,944,953,960,975,978,988,998,1006,1012,1023,1032,1040,1051,1059,1065,1078,1087,1090,1100,1111,1115,1129,1134,1140,1154,1162,1172,1177	0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
3,13,23,31,35,49,59,63,73,81,85,97,106,111,121,132,142,151,160,169,178,183,323,331,342,344,352,366,374,378,390,397,408,414,428,436,444,600,605,615,621,630,640,643,654,661,677,679,687,702,705,712,726,732,743,753,761,771,776,783,793,801,808,816,831,835,845,854,865,868,879,887,896,899,908,919,929,939,943,952,965,971,983,988,994,1003,1017,1022,1029,1043,1046,1060,1064,1074,1084,1091,1099,1110,1113,1126,1131,1146,1148,1162,1167,1173	1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,25,27,34,49,57,64,68,80,91,98,106,111,125,134,140,149,156,167,178,313,323,334,337,345,356,364,371,383,387,402,409,418,428,429,438,598,604,616,626,632,636,649,654,668,676,679,691,701,706,714,723,729,742,753,758,767,777,780,796,805,812,822,826,837,842,852,865,869,879,889,895,906,914,921,929,938,947,958,964,972,978,991,999,1010,1014,1023,1035,1039,1050,1056,1070,1072,1080,1093,1098,1108,1113,1122,1135,1139,1155,1162,1168,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,20,27,38,47,52,64,72,77,87,99,103,111,121,131,140,152,161,164,173,180,322,331,341,345,355,364,376,384,393,398,405,416,425,437,438,598,607,615,622,630,641,650,653,667,676,683,693,701,709,716,723,733,740,747,760,769,778,787,792,801,812,819,824,833,842,851,865,866,881,883,894,905,913,922,929,937,944,954,961,971,977,989,1001,1010,1013,1025,1033,1037,1049,1057,1067,1074,1082,1094,1100,1109,1115,1127,1131,1146,1148,1157,1169,1177	1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,23,32,38,43,53,68,72,77,86,95,103,117,126,130,143,148,161,163,176,190,320,333,340,344,359,368,369,382,390,395,408,419,425,434,444,457,601,611,625,628,641,644,652,663,671,679,693,700,707,718,724,737,739,751,757,764,776,782,796,802,808,815,825,838,840,853,862,870,878,888,899,902,913,924,933,934,946,956,963,974,984,987,998,1007,1011,1021,1031,1044,1051,1055,1062,1074,1085,1091,1096,1110,1120,1127,1138,1140,1154,1156,1168	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,16,17,32,39,46,54,62,72,80,88,99,110,115,125,136,138,149,158,164,178,187,321,330,338,343,353,361,372,378,391,399,406,413,422,437,439,453,602,615,618,627,640,646,659,665,673,680,690,700,708,715,725,732,741,754,762,767,777,781,795,799,810,820,824,834,845,851,859,870,878,888,899,902,910,921,925,935,948,954,964,968,984,991,993,1005,1013,1024,1035,1038,1050,1057,1067,1072,1082,1089,1102,1106,1116,1123,1130,1145,1153,1163,1169	1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
3,10,18,33,38,46,55,63,76,81,87,96,107,113,120,135,144,152,154,169,176,185,321,331,343,347,352,368,377,385,390,400,406,414,424,437,443,597,603,614,621,630,643,647,658,662,669,686,693,702,709,719,726,733,740,753,762,765,775,780,792,801,811,821,827,835,841,856,861,868,881,885,898,901,915,924,929,934,950,954,964,975,979,985,997,1005,1015,1025,1029,1041,1048,1061,1066,1077,1086,1095,1104,1109,1117,1121,1132,1146,1148,1162,1170,1178	1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,11,22,31,36,44,51,61,76,80,91,98,107,113,122,129,138,146,156,170,177,188,322,334,337,344,355,361,374,381,391,400,410,413,425,436,440,465,603,612,618,631,643,645,652,667,671,685,694,697,710,720,722,731,739,750,756,770,774,782,796,797,811,820,827,835,843,848,861,873,882,883,891,905,910,917,933,940,943,953,961,972,979,990,999,1005,1016,1026,1028,1042,1046,1054,1069,1075,1082,1094,1098,1111,1117,1124,1137,1142,1150,1164,1165	1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
6,13,24,32,40,50,52,61,76,78,89,99,108,118,128,134,138,150,154,167,175,184,322,331,341,347,352,364,374,384,391,397,407,420,424,433,442,458,605,610,622,629,643,646,653,661,671,679,688,698,709,717,724,731,744,747,762,768,776,784,795,804,806,816,825,833,847,857,859,872,878,890,899,906,910,917,933,937,949,952,966,969,977,988,999,1004,1018,1025,1032,1037,1045,1061,1064,1071,1080,1091,1099,1106,1120,1129,1130,1140,1154,1161,1165	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,9,17,28,37,44,59,67,72,82,90,98,110,117,123,134,140,147,154,166,174,317,326,327,339,348,360,361,374,380,389,399,409,417,423,430,438,598,605,614,619,629,635,646,657,666,675,680,694,701,708,716,725,734,743,746,757,771,779,787,796,801,808,821,829,831,846,850,859,868,875,884,895,904,915,923,927,939,946,954,961,973,978,988,994,1003,1015,1025,1035,1041,1050,1053,1064,1073,1082,1089,1103,1106,1119,1124,1133,1144,1154,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,23,28,40,45,57,67,75,81,86,98,109,114,128,132,138,151,156,167,177,314,321,329,336,345,352,369,372,380,393,396,403,418,425,437,440,450,608,610,618,634,639,649,655,661,669,685,694,697,711,717,724,733,745,753,760,766,777,785,789,801,812,818,823,834,844,855,862,870,882,891,894,905,911,919,929,936,944,959,966,974,984,992,994,1006,1015,1021,1032,1038,1045,1057,1069,1074,1086,1095,1102,1108,1115,1129,1131,1144,1149,1163,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,30,39,45,52,65,69,84,92,101,106,117,126,136,138,145,156,164,177,317,326,330,340,348,358,365,370,385,394,400,408,417,427,433,444,600,601,611,618,628,641,649,659,664,676,680,687,697,711,712,728,732,740,754,758,763,777,783,796,800,807,820,823,838,845,853,864,866,875,885,898,900,911,917,932,937,947,956,967,975,982,985,994,1005,1014,1022,1031,1044,1047,1060,1063,1077,1079,1093,1104,1107,1116,1125,1138,1145,1153,1161,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,12,22,31,39,44,58,68,74,79,91,100,105,115,124,136,143,150,162,167,173,315,318,330,340,347,359,361,371,381,390,397,403,414,422,436,439,596,606,615,624,629,635,646,655,666,672,684,691,702,707,717,722,730,737,753,755,763,772,786,790,799,814,816,826,832,840,856,863,873,874,886,897,906,910,919,928,938,942,955,961,970,979,990,994,1009,1018,1023,1036,1038,1045,1057,1069,1078,1079,1090,1099,1105,1119,1124,1136,1139,1148,1161,1173,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,8,22,25,35,47,52,62,76,78,85,98,106,119,127,129,141,146,161,168,172,314,322,328,338,346,360,363,369,385,391,395,410,417,425,433,444,599,605,617,619,630,637,646,659,669,672,685,690,695,708,712,723,734,740,753,754,767,777,785,791,803,807,821,831,836,841,856,860,872,876,886,896,906,915,920,933,934,950,954,965,975,980,988,1001,1004,1013,1021,1029,1037,1048,1054,1064,1073,1084,1094,1097,1104,1113,1128,1132,1145,1152,1160,1168	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,14,24,29,39,46,52,68,75,82,86,98,104,114,122,133,145,153,158,167,177,317,320,331,342,347,357,361,374,379,390,397,403,416,426,435,440,449,608,610,619,633,635,648,654,661,670,682,686,700,711,717,726,731,744,748,757,763,777,783,791,800,808,817,825,837,843,853,858,872,876,886,894,903,915,923,926,935,942,952,964,972,981,990,999,1007,1018,1020,1035,1037,1053,1058,1067,1078,1079,1096,1102,1107,1114,1128,1132,1142,1150,1156,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,8,25,32,35,44,55,66,76,77,88,94,103,118,126,132,139,147,156,166,171,317,324,327,339,347,355,365,370,382,394,401,407,417,427,432,443,454,605,612,625,634,638,650,660,663,672,681,691,698,707,714,723,737,739,754,758,769,774,785,792,804,812,821,825,831,840,855,862,867,878,885,898,902,915,919,932,936,950,952,963,968,983,990,994,1009,1012,1022,1031,1044,1053,1056,1066,1073,1087,1089,1101,1107,1114,1126,1135,1145,1152,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,18,26,35,48,57,66,76,78,87,95,108,111,125,128,144,152,154,170,173,313,325,332,340,344,357,361,375,382,389,400,410,420,428,433,441,599,605,609,621,634,643,646,659,667,671,680,689,702,703,716,725,731,742,748,757,764,778,781,791,801,809,815,830,832,842,856,865,867,874,885,896,903,916,925,926,939,949,955,960,973,978,985,998,1002,1011,1024,1036,1044,1050,1061,1063,1078,1082,1088,1101,1109,1118,1123,1130,1140,1151,1159,1172,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,16,23,29,41,50,56,62,73,77,85,100,103,118,127,133,140,149,154,163,170,180,322,327,337,346,359,364,373,379,389,395,408,412,421,432,440,451,601,609,621,630,636,644,658,667,675,679,693,700,711,712,725,734,738,750,762,771,777,786,797,801,812,821,828,839,841,851,865,870,880,890,895,903,915,921,930,936,944,959,963,976,977,991,1001,1005,1013,1023,1034,1038,1049,1055,1068,1071,1084,1095,1100,1108,1121,1122,1132,1144,1151,1159,1169,1177	1,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
7,13,21,30,38,46,58,66,75,77,89,99,103,112,120,131,137,153,158,169,177,316,322,328,337,344,359,363,372,385,393,400,408,417,424,430,438,597,602,612,621,627,641,649,654,666,673,681,689,703,710,713,721,734,741,753,760,771,779,781,790,799,810,814,823,839,844,851,862,868,875,889,897,901,908,924,927,940,943,955,967,975,976,990,999,1005,1015,1022,1031,1037,1048,1053,1066,1073,1085,1093,1101,1106,1115,1123,1138,1144,1154,1163,1168,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,20,29,39,43,56,60,73,83,92,95,105,114,122,129,145,147,160,170,173,316,322,332,337,346,358,369,378,381,394,402,408,415,422,433,439,600,607,616,619,628,635,648,658,665,670,685,694,697,704,712,725,736,745,752,761,766,774,780,793,798,807,815,823,835,843,854,858,870,880,883,894,906,910,919,929,941,943,951,964,975,984,988,1000,1007,1018,1025,1028,1044,1047,1061,1068,1074,1079,1092,1098,1106,1117,1124,1135,1146,1152,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,26,38,47,59,66,73,81,87,96,103,114,126,131,138,151,155,167,172,315,326,329,337,350,357,366,373,383,388,397,410,416,426,431,444,597,607,610,622,631,635,649,656,665,670,679,687,695,708,718,723,737,745,751,756,768,779,788,793,804,805,816,823,833,845,853,858,869,874,886,898,907,911,920,933,937,948,957,959,973,979,988,1002,1008,1011,1023,1029,1042,1045,1055,1070,1078,1079,1095,1104,1110,1115,1128,1137,1142,1153,1159,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,20,32,38,44,52,61,70,81,91,98,104,118,119,130,141,153,155,165,171,315,322,327,342,345,357,366,373,384,394,401,408,416,426,432,442,599,601,613,624,632,636,648,656,664,671,685,686,699,711,717,727,729,743,748,757,770,774,783,797,799,814,818,829,835,846,855,860,873,877,886,893,900,915,922,932,939,945,959,962,971,978,991,996,1007,1017,1021,1031,1040,1049,1059,1064,1078,1080,1094,1097,1107,1120,1122,1137,1139,1154,1158,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,8,19,28,39,46,54,67,69,81,90,99,108,113,126,131,140,150,156,164,174,186,320,332,343,345,360,367,373,382,387,401,407,419,427,429,446,450,603,610,618,628,638,646,653,660,670,680,693,697,708,713,724,735,739,747,758,770,777,784,791,798,810,815,824,836,844,851,858,873,876,885,897,907,913,923,927,935,950,958,963,974,983,992,1000,1007,1013,1019,1036,1042,1052,1061,1063,1078,1085,1090,1103,1111,1121,1124,1131,1142,1154,1156,1172	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,14,19,29,36,50,56,61,76,83,89,95,105,118,121,128,143,151,158,163,170,315,321,331,337,348,359,368,373,378,393,397,405,418,422,430,441,598,606,614,620,631,639,645,653,664,670,679,694,697,711,714,723,734,738,746,758,766,778,785,795,803,807,820,823,837,843,851,858,868,878,888,892,900,915,922,932,936,948,958,963,972,984,989,998,1005,1013,1025,1036,1037,1052,1061,1063,1077,1085,1089,1099,1105,1119,1125,1131,1142,1151,1157,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,12,18,33,38,45,51,64,72,77,92,101,105,116,124,131,141,149,159,163,177,315,324,332,339,344,357,367,374,383,389,402,411,416,424,435,444,600,603,610,618,628,638,646,652,665,675,679,692,703,706,713,726,733,742,753,757,763,779,782,790,803,814,820,826,838,847,852,863,866,882,891,897,902,915,917,932,941,945,958,964,969,980,987,994,1009,1015,1023,1029,1039,1053,1060,1064,1071,1081,1093,1100,1109,1115,1125,1135,1143,1151,1158,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,17,30,34,47,53,65,72,78,88,99,102,113,120,128,136,147,156,170,171,317,321,331,338,345,358,361,371,379,390,401,403,414,424,436,444,596,608,616,619,626,639,648,657,660,675,680,692,700,709,719,726,730,742,746,754,767,774,784,789,804,807,822,828,833,845,854,860,867,879,890,896,907,916,924,930,939,942,958,962,971,984,988,1000,1003,1016,1027,1032,1042,1045,1054,1064,1077,1080,1094,1104,1113,1121,1126,1133,1144,1150,1160,1168,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,18,33,41,43,51,68,73,83,87,100,105,112,122,136,140,147,155,166,175,318,320,331,339,350,352,364,372,378,393,402,405,420,425,432,446,456,603,610,623,626,639,650,660,668,675,683,686,702,711,712,722,736,741,749,754,766,773,784,796,802,812,816,824,837,846,850,858,874,877,888,892,902,911,918,933,940,945,955,966,976,983,991,1000,1010,1011,1019,1033,1039,1051,1060,1062,1075,1081,1091,1098,1111,1115,1129,1135,1145,1153,1164,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,19,32,37,48,56,66,70,78,86,101,103,116,119,131,138,145,158,163,179,314,320,334,340,351,355,362,370,382,390,396,405,415,423,434,438,600,602,611,626,630,637,644,654,669,676,680,686,698,707,712,727,731,738,753,760,767,779,785,790,805,806,820,831,835,842,852,860,870,880,890,893,905,912,923,928,937,943,955,963,972,983,991,997,1009,1012,1025,1028,1044,1045,1056,1069,1075,1080,1093,1100,1113,1114,1122,1132,1139,1151,1159,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,13,22,28,36,48,51,60,74,81,86,95,106,114,121,135,137,152,155,162,172,314,319,333,336,349,354,364,377,382,388,397,406,412,422,431,443,600,604,610,623,633,642,648,658,667,673,685,691,698,704,713,721,729,743,753,761,770,774,783,797,798,813,822,829,834,844,852,857,865,881,889,897,902,916,917,928,939,944,957,965,969,981,990,997,1003,1015,1019,1028,1036,1047,1055,1068,1076,1079,1094,1104,1106,1120,1124,1134,1139,1153,1157,1169,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,30,34,46,52,59,69,79,89,101,105,112,124,135,138,147,155,167,173,317,320,331,342,350,359,367,375,382,387,400,405,420,425,434,439,598,606,612,625,633,636,646,655,665,671,678,693,697,704,719,720,737,741,751,756,771,775,785,789,804,807,818,827,836,845,855,861,868,881,888,899,906,916,917,929,938,949,957,962,971,976,988,1000,1003,1012,1024,1030,1036,1050,1059,1068,1078,1087,1093,1097,1110,1116,1124,1136,1147,1150,1157,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,31,39,45,55,64,69,85,89,95,108,113,126,130,145,152,155,165,176,316,325,327,337,347,356,365,371,385,389,397,406,417,428,432,444,453,605,610,620,626,640,651,653,662,676,681,689,703,705,713,725,736,739,751,755,765,772,784,797,804,811,822,828,839,840,854,863,865,876,884,897,901,912,918,926,935,944,954,967,968,983,985,994,1009,1018,1021,1029,1036,1052,1056,1065,1074,1082,1094,1102,1109,1114,1126,1137,1141,1151,1159,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,10,17,30,41,44,53,64,72,77,88,101,108,114,128,131,140,150,155,165,172,313,322,334,341,344,354,369,376,380,386,400,408,414,424,430,446,447,607,610,622,631,637,650,657,664,672,686,694,700,707,718,725,736,739,746,754,764,776,786,790,804,814,816,826,838,841,853,860,869,882,887,897,902,908,925,933,938,945,957,960,970,980,991,1002,1003,1011,1023,1030,1038,1046,1056,1062,1072,1083,1088,1098,1107,1115,1127,1134,1147,1155,1158,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,17,25,36,43,54,63,74,77,91,95,107,111,121,132,145,152,160,166,177,315,322,333,343,349,355,361,370,379,394,399,410,420,429,433,441,597,604,609,620,631,637,645,653,668,677,681,686,696,706,718,728,732,743,746,758,771,776,785,795,802,809,816,823,838,843,852,861,872,878,885,891,906,916,918,928,937,950,958,959,973,976,990,999,1008,1017,1026,1029,1044,1051,1056,1062,1071,1082,1095,1103,1105,1118,1122,1137,1141,1155,1162,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,17,34,37,46,52,62,73,82,87,98,110,115,123,133,142,148,160,170,178,315,322,328,343,346,353,366,377,382,390,402,408,413,422,436,445,447,607,613,622,629,641,647,653,662,675,678,692,700,710,713,723,731,744,748,759,763,773,788,790,799,807,817,830,839,842,850,859,866,875,889,894,907,915,923,929,939,943,955,962,970,980,992,997,1003,1017,1021,1031,1038,1047,1059,1065,1072,1083,1090,1103,1105,1119,1124,1130,1145,1156,1161,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,21,33,39,45,56,61,69,82,86,99,107,111,127,128,144,147,154,166,177,318,326,334,339,351,355,367,374,380,388,398,409,414,427,433,441,470,602,617,625,633,638,650,653,662,673,679,689,700,708,718,728,735,743,746,757,767,775,788,789,797,813,819,831,834,844,853,858,866,882,888,898,904,915,916,933,935,945,953,961,974,979,988,995,1004,1019,1025,1035,1036,1053,1060,1063,1073,1086,1094,1096,1108,1118,1123,1132,1141,1155,1160,1164,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,17,21,32,35,42,54,65,74,84,85,99,106,117,123,129,138,149,156,163,176,188,321,332,342,347,359,361,377,383,389,396,409,420,424,433,438,599,603,615,619,632,636,649,657,668,677,682,693,695,709,713,723,730,745,749,758,764,778,786,792,805,811,821,823,833,842,855,864,868,882,890,895,907,913,920,925,935,946,957,959,968,983,989,996,1009,1018,1027,1032,1041,1049,1057,1062,1076,1085,1093,1099,1108,1121,1123,1131,1143,1149,1159,1166,1176	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,14,21,29,40,43,55,64,71,84,90,100,102,111,121,129,144,152,156,162,174,192,320,331,340,348,353,364,374,379,391,401,410,416,426,436,444,596,609,612,623,628,637,645,658,663,671,686,689,700,707,715,724,732,741,750,759,767,774,780,791,798,806,819,826,839,847,850,858,869,874,887,898,906,910,924,926,939,944,957,961,974,982,985,995,1003,1018,1023,1031,1040,1051,1061,1068,1071,1085,1089,1097,1109,1115,1125,1134,1146,1151,1157,1169,1175	1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,24,32,42,46,59,64,69,83,90,94,108,118,122,134,139,151,155,166,174,185,318,330,341,346,359,365,377,380,391,400,407,413,422,432,440,596,604,613,618,630,642,647,655,663,670,678,689,695,707,720,728,734,745,752,760,769,777,782,794,798,809,822,825,838,840,855,858,868,877,890,896,907,909,923,931,934,948,959,963,969,981,989,998,1010,1014,1027,1028,1041,1052,1057,1069,1073,1082,1088,1100,1110,1119,1123,1135,1145,1150,1161,1172,1174	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,10,22,30,36,47,57,60,75,81,85,96,108,116,121,133,144,153,159,166,177,186,319,330,339,349,359,369,374,382,392,401,410,415,426,437,441,458,601,610,622,633,642,647,658,663,676,685,693,698,706,715,722,734,738,747,758,765,779,786,793,800,808,816,829,832,842,851,864,872,874,885,894,907,909,923,932,938,945,956,963,969,983,989,997,1009,1013,1022,1028,1041,1048,1053,1069,1073,1081,1094,1099,1109,1114,1130,1134,1144,1155,1157,1171	0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,11,18,28,41,50,57,66,74,78,93,97,107,116,127,133,138,153,157,167,177,314,321,328,337,350,352,367,374,385,387,398,406,417,423,431,443,596,601,612,623,626,636,647,653,663,674,683,689,695,707,715,724,730,743,748,758,766,779,788,795,804,807,818,826,834,847,854,864,868,881,883,893,901,910,921,928,936,944,957,966,972,983,993,1001,1007,1018,1019,1028,1040,1045,1059,1062,1073,1083,1095,1101,1106,1121,1125,1131,1145,1153,1160,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,20,30,39,45,58,63,76,82,89,96,109,115,123,133,143,152,157,167,175,179,323,334,339,349,354,367,375,378,388,403,410,415,423,429,442,600,601,616,626,634,641,646,658,667,671,679,686,701,705,712,722,734,745,748,758,770,778,787,793,801,813,820,824,831,842,852,864,866,874,889,897,902,910,923,927,934,942,954,964,976,977,987,996,1008,1017,1026,1033,1037,1051,1062,1065,1074,1086,1087,1102,1113,1117,1128,1135,1139,1147,1156,1166,1174	0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,19,26,41,47,59,61,73,79,86,98,108,113,121,136,139,148,161,162,174,180,324,330,340,349,357,368,373,386,393,395,404,418,421,434,446,600,606,614,625,632,641,645,660,663,673,682,693,697,705,712,728,733,746,752,758,766,775,780,794,803,810,817,830,838,846,854,862,871,878,884,898,907,916,917,927,938,943,952,960,972,978,986,998,1004,1011,1021,1033,1036,1052,1057,1067,1077,1083,1095,1103,1107,1118,1125,1136,1139,1148,1163,1168,1175	1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,16,22,27,35,46,56,63,75,81,86,100,108,114,123,129,138,146,161,164,172,186,324,328,342,345,352,364,374,381,392,403,407,415,428,432,440,471,607,614,626,629,641,644,659,662,671,681,688,699,706,714,725,734,738,748,758,763,775,785,797,805,810,818,823,834,845,849,857,868,878,885,899,903,914,920,928,935,942,959,968,969,984,987,998,1007,1015,1020,1029,1038,1050,1054,1066,1073,1080,1094,1100,1113,1116,1126,1137,1142,1155,1160,1166	1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0
8,15,17,26,35,49,55,65,73,76,90,101,105,118,125,130,141,148,155,164,176,314,323,327,335,347,354,362,374,382,388,398,410,412,425,435,438,600,605,611,622,629,637,644,658,665,671,679,692,698,710,714,722,735,744,749,762,763,779,785,790,800,807,815,830,834,847,853,860,866,882,884,899,903,911,920,932,940,945,955,963,973,978,992,999,1009,1017,1022,1029,1043,1050,1059,1065,1074,1083,1091,1099,1107,1117,1127,1134,1139,1152,1161,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,18,28,38,48,57,67,73,81,91,99,108,115,124,132,136,147,157,169,173,187,321,327,336,348,352,364,369,379,392,397,404,417,421,430,441,447,606,611,622,634,638,647,655,662,672,684,687,700,710,714,727,732,742,747,757,770,775,783,788,802,805,819,824,837,842,849,862,869,878,888,895,900,913,920,929,940,949,957,961,975,981,989,1002,1006,1017,1024,1034,1042,1051,1053,1064,1073,1087,1095,1101,1110,1115,1127,1131,1138,1149,1163,1165,1174	1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,14,18,31,38,48,56,63,74,81,87,100,108,112,124,135,143,151,155,170,174,182,321,329,339,349,356,364,375,380,387,402,409,413,422,437,444,453,607,613,619,634,639,647,659,666,669,683,691,703,707,719,726,737,745,749,754,769,779,780,794,797,813,821,829,838,842,854,860,872,878,889,891,900,914,922,933,941,946,955,964,968,984,990,994,1002,1016,1019,1028,1043,1050,1061,1062,1075,1081,1087,1099,1109,1114,1122,1137,1143,1150,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,12,18,33,37,50,57,62,72,79,89,99,104,116,122,130,141,149,158,163,171,182,325,332,342,345,356,365,372,382,387,400,410,417,421,431,442,600,603,617,623,627,643,645,656,665,674,681,694,701,704,718,728,736,738,752,754,771,779,782,790,799,811,814,823,839,841,849,860,867,874,883,896,904,911,918,931,934,948,958,965,973,982,987,995,1004,1014,1020,1031,1037,1052,1056,1066,1074,1082,1088,1103,1108,1119,1124,1132,1142,1149,1157,1165	0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,9,23,32,35,46,55,61,69,83,87,101,105,117,126,134,141,153,158,166,172,179,324,335,341,346,353,366,375,379,388,403,407,416,422,429,438,598,607,610,620,634,639,649,658,661,676,681,693,701,710,713,727,735,742,747,760,767,777,785,793,798,814,820,825,838,842,851,858,868,879,888,893,901,911,918,933,935,946,959,961,974,980,987,1002,1008,1018,1023,1028,1040,1048,1060,1066,1072,1080,1091,1101,1111,1114,1129,1131,1144,1153,1156,1166	0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
1,13,23,27,38,47,51,63,70,80,90,101,106,112,122,136,143,149,156,170,177,185,320,332,336,346,358,365,372,379,392,395,405,413,421,429,444,599,607,615,619,630,642,647,654,669,675,685,694,695,709,713,727,732,744,749,762,763,779,785,791,803,810,822,823,838,840,853,862,871,878,890,891,906,909,922,929,937,948,952,967,971,979,993,1000,1008,1013,1021,1035,1042,1051,1055,1062,1077,1086,1095,1101,1108,1116,1125,1136,1143,1149,1162,1169	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,9,23,26,36,44,56,63,73,78,87,94,109,118,122,131,141,152,154,166,177,180,320,329,339,350,353,362,371,379,391,395,409,413,421,432,439,597,604,617,622,626,640,646,658,660,676,678,693,702,706,720,728,735,738,754,761,766,776,786,788,800,806,814,823,835,845,854,861,871,875,886,893,904,910,922,925,940,946,955,961,973,981,987,996,1009,1013,1026,1034,1042,1048,1055,1064,1071,1086,1087,1097,1110,1113,1125,1137,1141,1152,1163,1167,1173	1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,23,29,37,46,53,64,71,82,92,95,102,113,121,136,143,147,161,169,173,316,322,331,341,349,359,368,373,380,387,398,409,417,428,432,441,599,605,615,625,626,638,647,654,664,672,683,693,699,711,720,723,734,741,748,756,768,776,786,796,805,807,816,826,838,843,852,857,868,882,889,895,905,911,921,931,939,948,952,964,975,982,986,995,1005,1015,1026,1029,1037,1045,1058,1065,1071,1079,1090,1096,1111,1117,1125,1130,1146,1155,1156,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,18,25,41,48,53,64,70,84,86,100,109,118,126,128,144,146,159,167,176,316,321,334,335,347,354,369,375,383,393,396,406,417,421,429,439,468,606,612,625,629,637,649,654,663,674,678,690,700,711,716,722,733,739,751,756,770,778,784,796,801,809,820,823,834,841,849,859,869,876,886,897,905,915,920,928,938,948,955,965,974,979,992,1000,1005,1019,1025,1029,1037,1045,1061,1070,1077,1081,1091,1099,1112,1121,1130,1135,1145,1153,1163,1167,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,24,28,41,48,53,66,70,81,89,98,104,117,120,133,141,151,160,162,175,314,324,331,343,346,352,363,376,381,389,395,408,418,426,437,445,599,602,609,622,634,642,651,658,669,677,679,689,701,710,715,721,735,739,746,758,765,776,785,794,805,813,817,827,836,845,851,859,868,876,889,894,906,915,922,927,941,947,951,961,968,983,993,1000,1010,1012,1022,1030,1036,1048,1060,1063,1070,1080,1094,1103,1108,1118,1130,1138,1143,1151,1164,1166,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,17,27,37,50,53,60,75,78,87,97,102,117,123,128,142,146,154,169,173,317,323,329,337,351,357,363,371,382,395,399,404,416,424,436,443,457,603,616,623,629,635,644,658,665,670,678,691,697,707,714,722,733,738,752,754,764,774,780,796,800,810,821,822,835,845,849,862,870,881,886,898,905,908,918,927,942,946,957,961,972,980,993,997,1009,1014,1023,1028,1039,1050,1055,1064,1074,1086,1090,1102,1109,1117,1130,1131,1142,1154,1156,1164,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,9,21,30,35,45,55,66,75,81,92,97,110,116,125,134,140,150,155,164,178,313,323,332,340,347,354,367,373,382,393,396,408,412,424,429,443,466,605,609,624,630,641,647,654,661,670,678,688,700,709,716,727,729,741,754,758,771,779,787,797,804,807,817,828,834,845,852,864,867,878,884,897,905,915,918,930,934,947,951,963,975,977,991,1002,1008,1016,1027,1036,1038,1047,1056,1063,1077,1080,1095,1099,1106,1117,1124,1131,1144,1150,1159,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,25,30,40,49,56,64,76,84,92,95,108,111,121,135,144,150,161,166,175,316,319,329,339,345,355,361,377,386,393,402,406,414,422,432,440,600,608,611,620,634,638,646,657,668,672,684,694,695,703,716,727,730,743,747,761,763,775,788,793,802,806,814,824,836,844,854,860,872,882,886,898,904,910,919,933,941,947,952,966,969,978,986,1000,1010,1011,1020,1029,1041,1053,1056,1068,1077,1085,1094,1097,1105,1114,1122,1130,1140,1150,1158,1171,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,24,25,36,44,53,67,75,84,90,98,105,116,127,131,140,150,162,166,173,316,323,332,335,352,359,367,375,383,390,398,409,412,426,430,445,599,609,614,618,632,638,644,654,667,674,686,687,698,706,714,721,734,744,749,761,767,773,787,795,804,809,816,823,833,847,852,861,872,882,884,891,905,916,920,929,935,945,953,962,975,981,990,997,1002,1013,1023,1034,1038,1052,1053,1069,1075,1083,1092,1099,1106,1121,1122,1131,1141,1150,1156,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,23,33,35,43,59,61,68,84,86,95,106,112,124,128,140,153,154,170,171,313,318,333,338,346,353,363,370,383,394,396,408,417,423,430,441,600,602,612,618,629,637,646,654,667,670,681,688,702,708,719,724,734,743,749,758,766,773,787,788,805,812,815,825,833,842,853,859,871,882,889,895,903,916,920,926,938,948,951,965,971,983,988,994,1002,1015,1024,1036,1039,1053,1056,1065,1075,1086,1088,1099,1109,1119,1126,1134,1140,1155,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,19,27,38,47,51,61,68,79,93,96,102,118,124,128,139,150,155,168,178,182,320,334,337,349,358,366,375,386,390,400,406,416,427,434,440,598,607,614,624,630,643,646,657,664,671,680,689,700,710,720,723,732,742,746,763,766,772,788,796,805,807,818,823,835,842,850,863,866,879,885,893,902,912,918,931,942,944,957,964,968,979,987,997,1002,1016,1027,1036,1043,1049,1060,1064,1073,1085,1090,1103,1107,1119,1125,1131,1139,1148,1157,1167	1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,13,21,31,34,48,57,60,74,77,92,102,109,114,125,131,144,148,153,163,174,314,324,333,336,350,357,367,375,381,394,403,408,419,422,435,440,598,606,617,622,633,641,647,656,668,669,685,693,701,708,715,728,732,738,751,759,766,780,785,796,802,807,816,827,835,842,852,862,866,879,883,895,900,908,919,930,939,946,955,963,970,978,985,999,1008,1014,1021,1031,1040,1049,1055,1065,1075,1083,1088,1100,1110,1120,1128,1135,1140,1150,1160,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,22,25,39,48,52,61,76,77,90,95,110,117,125,129,143,148,155,170,177,313,320,332,340,344,353,361,374,381,394,399,411,412,428,430,439,470,604,611,623,630,636,647,656,664,674,678,689,698,709,712,725,730,738,752,755,766,774,780,796,803,806,818,831,834,841,851,858,870,874,885,893,901,912,922,933,937,943,954,963,972,978,993,997,1004,1014,1025,1030,1036,1053,1057,1067,1076,1082,1090,1100,1108,1117,1127,1135,1144,1153,1160,1170,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,13,22,32,34,46,51,66,73,79,86,100,110,111,126,135,144,150,160,169,178,314,323,327,340,351,353,366,370,380,393,403,407,414,424,432,440,456,604,611,620,629,639,651,653,665,669,681,691,699,706,712,726,730,737,753,763,766,772,783,796,805,806,821,830,835,845,851,861,873,881,890,896,903,916,918,927,939,945,951,965,969,984,992,998,1003,1014,1024,1033,1036,1050,1059,1065,1070,1085,1088,1104,1105,1114,1125,1132,1140,1154,1160,1166,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,16,23,32,34,43,58,64,75,80,90,99,105,119,125,136,138,151,157,169,173,317,322,327,341,347,358,368,370,379,390,395,408,413,422,434,439,597,603,612,625,634,642,647,658,668,677,682,687,701,704,717,724,734,741,747,754,768,773,787,791,801,814,816,829,833,844,855,858,873,878,882,893,903,910,921,930,934,950,955,965,973,979,986,1001,1003,1012,1021,1030,1037,1046,1058,1068,1070,1083,1092,1100,1106,1115,1124,1134,1139,1152,1156,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,24,30,41,45,58,62,73,85,91,97,106,117,127,130,138,152,157,169,172,182,325,334,343,348,355,362,370,386,387,398,411,416,423,434,444,600,601,613,619,632,638,648,652,667,675,679,693,696,705,712,722,734,744,751,762,765,777,780,794,800,811,818,823,831,845,850,862,869,879,887,895,906,908,919,930,941,946,954,961,968,977,991,1002,1009,1013,1020,1031,1041,1051,1058,1063,1070,1082,1089,1097,1109,1120,1124,1131,1146,1154,1158,1164,1177	0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
4,16,19,33,34,45,58,68,71,78,90,97,107,119,126,128,144,152,159,165,178,315,324,328,335,349,354,362,373,383,394,399,405,420,426,434,446,457,608,610,620,627,636,649,652,663,675,681,689,700,704,715,723,731,738,748,754,770,776,782,797,799,807,815,830,831,840,852,857,869,877,886,893,902,908,923,928,937,946,958,963,972,980,993,998,1010,1018,1026,1028,1042,1045,1054,1064,1077,1083,1095,1102,1110,1114,1130,1136,1140,1149,1160,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,13,21,26,36,43,56,63,75,76,86,95,108,115,123,131,140,151,157,163,171,314,320,334,337,347,360,369,370,384,388,397,406,413,423,433,442,597,609,610,622,633,642,645,653,665,670,682,687,698,707,713,722,733,743,746,761,763,773,788,793,802,810,818,823,834,844,854,862,871,876,886,894,900,915,921,927,937,948,955,960,976,983,987,994,1005,1016,1023,1029,1042,1046,1058,1066,1078,1081,1088,1097,1107,1113,1126,1134,1146,1150,1161,1170,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,10,21,26,39,45,57,62,70,84,86,99,103,118,125,135,142,149,161,164,172,313,325,329,340,348,356,361,372,383,394,396,403,417,429,433,439,597,603,612,623,629,640,645,654,661,672,685,693,700,708,718,725,736,740,747,759,770,773,786,790,804,811,818,826,836,847,848,859,867,875,889,897,906,913,918,926,935,948,956,962,971,984,991,996,1008,1013,1027,1034,1039,1046,1056,1066,1075,1084,1094,1104,1112,1114,1123,1131,1147,1153,1156,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,9,21,27,35,42,51,61,71,81,91,101,105,112,121,128,142,152,159,170,175,313,320,332,338,350,353,364,374,383,387,400,407,417,428,435,446,596,602,612,624,629,643,650,655,665,671,683,688,695,711,713,726,734,745,750,756,765,779,787,793,802,808,815,824,832,840,854,864,871,874,887,892,905,909,917,925,938,945,957,962,970,982,991,1000,1005,1018,1019,1031,1044,1050,1061,1062,1078,1086,1096,1098,1107,1116,1128,1133,1142,1150,1159,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,27,34,42,53,63,74,78,93,100,108,119,127,134,141,146,157,167,176,315,321,332,336,347,358,363,374,383,388,401,407,419,425,431,441,600,603,615,618,633,640,651,653,660,669,682,687,702,711,719,723,731,743,750,759,765,775,782,792,801,808,817,825,834,841,853,864,867,875,884,894,903,912,920,931,938,950,954,959,968,981,989,997,1006,1017,1027,1034,1040,1048,1056,1069,1075,1086,1089,1097,1107,1120,1121,1138,1146,1154,1158,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,19,33,37,43,53,60,73,80,88,101,104,113,119,129,144,147,157,162,172,316,321,330,337,349,360,362,374,380,387,396,406,412,425,432,444,596,607,610,624,629,642,650,657,664,670,684,693,695,705,712,724,736,742,750,759,766,774,784,793,803,807,819,824,834,843,850,861,866,882,886,899,901,916,921,925,938,950,957,963,971,979,987,996,1003,1016,1021,1032,1038,1045,1055,1070,1073,1081,1094,1098,1105,1120,1122,1135,1140,1149,1161,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,14,19,33,35,46,51,68,71,84,93,95,105,114,126,131,138,148,155,163,173,316,323,327,342,344,360,365,370,378,394,399,408,412,425,433,441,596,608,617,621,632,639,648,657,662,674,685,690,698,706,718,722,736,737,753,759,769,780,783,793,801,812,816,826,837,847,850,863,867,882,888,895,906,913,920,933,940,948,958,967,976,978,988,998,1007,1014,1020,1033,1040,1053,1054,1063,1074,1081,1088,1102,1112,1120,1125,1134,1142,1151,1159,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,18,27,35,50,57,60,74,84,90,99,104,118,126,129,141,149,159,169,174,315,321,331,340,344,359,361,371,382,390,400,409,416,429,435,438,465,604,612,619,632,643,646,659,665,671,679,689,701,707,719,721,732,741,750,761,765,779,783,794,798,813,815,825,834,844,854,864,867,876,885,898,903,915,917,931,937,948,955,966,972,980,986,994,1003,1011,1024,1030,1036,1045,1061,1068,1071,1079,1095,1098,1105,1116,1127,1130,1141,1154,1164,1165,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,21,27,42,47,56,64,73,85,91,97,105,113,120,136,137,150,159,170,179,318,325,331,337,343,360,363,375,383,393,402,405,413,426,430,440,599,601,609,621,634,639,651,657,667,671,679,688,701,707,713,723,735,741,753,758,770,779,781,789,798,810,815,830,834,847,849,861,867,881,885,898,900,915,920,928,937,948,951,959,974,983,987,997,1004,1012,1027,1030,1041,1052,1061,1067,1075,1080,1094,1102,1109,1114,1125,1131,1144,1153,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,24,25,39,43,53,64,70,78,90,98,105,111,125,131,143,148,157,168,172,314,321,330,336,347,354,361,377,379,394,397,406,417,424,434,438,452,607,615,624,630,642,651,656,668,677,684,692,699,711,717,720,732,738,752,759,770,775,787,795,802,812,817,831,834,840,849,860,872,879,889,896,900,913,924,929,941,950,955,960,970,980,985,1000,1005,1011,1022,1030,1043,1045,1060,1065,1073,1082,1092,1098,1110,1121,1122,1132,1139,1152,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,18,33,34,44,58,66,76,79,86,101,110,119,120,134,137,147,160,166,178,314,326,331,340,345,359,364,373,380,390,402,408,412,424,434,440,597,606,609,620,633,638,646,659,662,677,682,689,695,711,720,725,730,741,747,759,766,776,788,796,801,807,821,826,832,844,856,862,865,875,889,896,903,911,921,926,935,943,951,967,971,978,991,999,1008,1012,1020,1029,1038,1052,1053,1065,1075,1084,1090,1099,1112,1119,1123,1134,1144,1155,1163,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,9,20,27,38,48,57,64,68,81,93,94,108,117,119,133,139,150,160,168,175,314,324,332,339,347,354,363,371,379,388,396,410,420,427,437,443,598,602,612,621,632,639,646,658,662,676,685,692,702,706,718,724,732,742,750,757,763,771,785,796,798,806,820,828,836,846,849,863,866,878,884,893,901,913,918,932,938,944,958,962,968,980,993,995,1008,1012,1020,1029,1039,1052,1060,1068,1075,1085,1088,1101,1112,1120,1129,1133,1139,1155,1163,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,11,21,28,34,43,52,64,76,83,88,95,107,114,119,130,144,152,158,169,173,191,319,333,337,345,356,361,375,378,394,396,411,413,421,434,445,598,608,612,620,627,638,649,655,663,675,686,690,702,707,717,725,730,744,754,758,770,777,788,790,802,807,817,826,832,842,853,861,870,879,883,893,908,910,925,926,935,944,957,963,969,980,988,996,1007,1014,1021,1033,1042,1052,1056,1068,1075,1087,1089,1096,1109,1115,1125,1134,1142,1150,1162,1172,1177	1,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
4,16,20,29,36,46,52,66,69,78,89,102,104,117,125,136,143,149,159,163,171,189,323,329,337,344,359,363,369,381,393,400,408,419,425,433,438,596,604,609,621,634,635,649,654,668,670,684,688,700,703,715,728,733,739,752,763,767,778,782,795,798,807,816,830,838,840,853,858,866,880,886,896,901,908,921,933,938,944,952,959,973,983,993,1000,1007,1018,1022,1032,1040,1045,1061,1063,1071,1086,1095,1097,1105,1118,1122,1131,1145,1148,1156,1166,1178	1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,11,19,29,37,49,57,60,72,79,89,100,110,117,122,131,138,151,161,166,176,181,325,329,337,347,355,363,378,380,386,396,407,417,426,437,445,455,602,611,626,630,641,643,652,667,670,686,694,703,705,713,727,736,745,748,762,764,773,783,790,800,812,820,824,834,847,850,864,874,877,886,891,904,909,918,932,941,950,951,965,971,977,987,994,1003,1011,1022,1035,1037,1053,1056,1063,1075,1082,1093,1101,1110,1114,1124,1130,1139,1151,1162,1169	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
8,11,24,29,39,48,51,60,69,84,86,94,105,116,124,128,137,148,154,166,176,182,322,332,339,350,354,364,376,378,388,397,408,414,422,430,442,598,607,613,626,627,640,647,657,663,674,680,689,697,711,718,724,734,741,753,759,765,778,781,789,800,806,815,826,838,845,852,865,873,879,884,891,901,916,921,926,936,944,952,965,973,985,987,997,1002,1011,1025,1029,1039,1047,1053,1068,1076,1079,1089,1100,1105,1120,1124,1135,1139,1151,1160,1170	1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,8,24,31,36,46,57,61,74,78,88,98,106,113,126,129,144,149,154,170,172,180,326,327,342,350,360,361,374,385,392,401,411,417,420,429,441,470,602,613,618,632,636,651,652,667,676,682,689,701,710,719,728,733,739,751,756,770,774,785,792,799,814,819,824,831,841,854,865,870,880,883,893,900,912,920,925,934,946,954,962,975,983,989,997,1003,1017,1024,1028,1040,1052,1056,1062,1074,1080,1090,1101,1109,1116,1125,1130,1139,1150,1156,1166,1177	0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,13,17,27,37,43,57,62,72,79,90,101,108,115,127,134,139,147,155,170,178,181,326,334,342,345,358,366,373,379,390,401,407,416,424,436,444,466,605,615,626,628,638,647,656,667,674,685,693,700,703,719,726,735,740,751,756,770,777,783,797,805,809,821,829,832,843,855,858,868,875,883,895,902,910,920,930,941,946,951,961,972,981,992,1002,1010,1017,1023,1033,1043,1051,1056,1065,1077,1087,1095,1099,1109,1118,1129,1134,1146,1153,1163,1169,1177	1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,15,20,27,34,50,54,63,75,82,86,96,103,111,125,132,140,149,161,166,177,183,319,334,337,345,358,363,375,384,388,403,411,416,425,435,438,447,603,612,620,626,636,651,652,663,672,679,692,696,711,719,723,732,745,754,761,769,778,785,790,797,808,821,830,835,845,856,864,868,876,886,897,900,913,920,931,938,951,952,963,972,982,992,995,1003,1013,1025,1031,1040,1048,1055,1069,1077,1087,1093,1100,1104,1113,1126,1137,1140,1153,1159,1169	0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,12,23,28,34,47,59,61,75,80,92,98,108,116,122,130,139,153,160,170,174,198,321,329,338,350,353,364,377,378,394,402,407,417,427,437,444,599,601,614,622,634,637,647,655,662,672,685,688,701,710,717,726,731,743,748,755,765,774,784,795,802,807,817,823,832,841,854,863,868,874,882,892,905,909,924,926,940,945,958,962,968,979,988,998,1009,1014,1020,1027,1043,1050,1054,1069,1072,1081,1092,1104,1112,1119,1128,1138,1145,1153,1163,1166,1175	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1
6,14,19,31,38,50,58,62,75,84,88,101,104,115,121,130,143,150,154,166,175,318,322,327,343,351,354,361,377,378,391,398,405,414,423,434,441,447,606,617,622,634,638,646,653,661,674,679,692,696,706,714,725,732,743,752,761,764,776,781,788,801,811,821,828,839,842,850,862,869,882,885,892,902,908,922,927,941,949,952,961,973,984,993,1000,1007,1011,1024,1035,1041,1052,1060,1068,1075,1085,1091,1098,1105,1115,1129,1132,1140,1152,1163,1170,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,13,21,26,36,51,58,64,69,79,90,99,109,115,126,136,138,145,161,168,177,201,321,331,337,347,353,369,371,382,390,399,407,415,429,435,441,469,609,611,625,629,638,652,653,666,673,677,687,696,711,714,722,730,744,751,762,765,779,788,796,800,813,816,830,837,845,856,859,866,875,886,897,904,914,919,928,940,943,953,962,973,979,992,1000,1006,1013,1025,1034,1037,1050,1056,1064,1078,1085,1087,1100,1108,1116,1122,1138,1141,1153,1157,1170,1173	1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,22,33,40,49,51,59,72,81,87,94,107,116,120,128,140,147,156,168,178,190,321,329,338,349,355,366,372,385,388,397,410,419,427,435,445,600,602,615,626,632,637,645,652,664,676,682,692,696,704,716,722,732,741,749,761,769,776,781,792,797,810,816,828,839,845,852,857,872,882,886,897,905,914,920,931,938,945,956,967,971,977,986,994,1003,1016,1021,1031,1038,1045,1060,1069,1078,1080,1088,1103,1105,1121,1129,1138,1143,1147,1161,1167,1173	1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,24,28,36,49,55,64,69,78,87,101,107,113,120,128,143,153,156,169,175,191,318,332,337,351,354,363,376,381,394,399,410,413,423,436,438,457,601,609,620,626,642,650,656,663,674,679,692,695,711,713,721,729,738,752,761,770,776,782,795,797,808,814,829,839,842,848,865,866,876,888,892,906,913,918,933,934,945,951,964,968,985,986,998,1002,1015,1023,1034,1042,1048,1057,1067,1077,1085,1095,1101,1108,1119,1129,1131,1141,1148,1161,1165,1176	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,13,17,30,34,50,52,68,73,81,93,95,110,113,126,131,141,153,156,163,170,187,323,330,342,348,357,361,369,381,393,400,411,418,425,431,438,596,605,615,618,630,639,643,652,660,672,679,688,697,711,714,722,732,738,750,756,764,774,781,790,803,811,819,823,838,841,850,863,870,882,884,892,905,910,917,930,937,946,957,960,969,981,989,1002,1010,1014,1023,1033,1044,1050,1054,1066,1072,1081,1090,1100,1113,1115,1122,1134,1143,1150,1161,1167,1174	0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,10,22,33,40,50,52,60,74,79,89,96,110,116,126,135,137,149,157,166,173,179,319,328,337,347,358,366,374,381,394,401,411,414,422,433,439,597,605,617,618,628,637,648,657,666,672,683,687,702,706,714,721,730,745,752,756,766,773,785,790,803,813,816,827,833,841,849,863,871,875,890,898,904,915,919,925,939,946,956,960,968,977,992,995,1006,1018,1026,1035,1041,1049,1056,1068,1074,1086,1092,1104,1108,1113,1125,1135,1141,1153,1163,1170	1,1,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
5,11,19,32,35,48,56,67,71,81,90,100,104,119,124,133,142,146,160,169,177,181,319,327,339,349,356,367,376,386,387,395,406,420,428,434,438,597,608,615,618,627,635,644,660,668,673,684,692,696,705,716,721,734,737,750,761,769,777,788,791,804,806,821,825,835,846,855,859,874,880,888,896,900,916,919,926,940,949,953,963,974,980,988,1002,1010,1016,1021,1034,1044,1045,1056,1064,1077,1082,1089,1101,1113,1115,1124,1133,1142,1149,1159,1172,1176	1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,11,20,26,42,45,55,64,70,85,90,101,110,115,127,129,141,149,162,168,173,313,323,330,338,345,360,361,374,383,392,400,410,415,429,430,444,597,603,610,622,627,637,650,652,667,671,679,686,700,706,719,724,734,738,747,758,770,773,788,794,802,807,821,827,837,841,852,862,870,875,883,893,900,910,918,926,937,943,955,960,974,977,987,1000,1003,1011,1023,1032,1038,1050,1055,1063,1072,1081,1092,1100,1107,1118,1128,1130,1144,1148,1163,1169,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,19,31,36,43,53,63,70,79,93,96,110,117,122,129,141,146,160,169,174,317,323,329,341,348,356,368,375,378,387,397,406,413,424,437,440,597,603,616,625,633,635,646,655,662,677,685,691,701,707,712,727,731,742,754,756,768,775,785,790,803,814,815,831,838,845,848,863,869,878,887,895,902,913,925,932,939,943,958,962,970,984,986,1001,1003,1011,1027,1033,1040,1051,1059,1065,1077,1082,1088,1097,1104,1120,1128,1130,1139,1154,1162,1167,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,18,33,34,50,57,66,69,81,87,94,108,117,119,128,137,149,154,169,179,316,320,330,338,346,354,364,374,384,388,395,411,414,423,433,442,471,607,611,618,626,638,651,652,667,676,680,688,700,704,715,723,731,746,749,760,763,772,787,794,797,811,821,829,832,847,852,865,868,877,883,894,902,911,923,933,936,948,953,967,969,977,993,996,1006,1011,1027,1036,1042,1050,1057,1065,1077,1080,1090,1103,1106,1119,1127,1135,1143,1151,1163,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,16,20,29,39,50,58,62,70,83,87,94,109,111,120,131,139,150,155,164,174,313,319,332,340,351,359,366,374,381,392,401,410,412,422,430,442,597,606,611,619,629,637,647,657,663,673,678,691,701,705,716,721,733,742,749,760,770,774,786,791,798,805,816,827,836,845,849,863,868,876,885,892,900,911,923,930,939,946,959,960,971,981,988,997,1004,1018,1026,1034,1042,1052,1059,1069,1072,1080,1088,1101,1106,1113,1129,1133,1144,1153,1161,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,23,32,36,50,54,65,75,83,85,95,102,114,120,128,143,147,158,165,178,313,326,334,336,349,355,363,374,382,392,403,404,415,428,430,440,448,602,614,619,632,639,646,656,660,672,683,688,703,711,718,727,733,740,746,760,769,774,782,789,804,809,815,827,836,845,854,859,866,882,890,899,906,913,918,930,940,951,952,963,972,979,989,998,1009,1012,1023,1033,1038,1051,1054,1063,1077,1084,1093,1097,1108,1115,1130,1137,1139,1155,1157,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,10,17,25,39,43,55,61,76,83,85,100,103,113,126,130,141,148,157,169,178,317,318,328,339,344,353,364,372,378,391,403,406,413,423,431,443,597,601,615,622,631,635,645,653,667,674,680,693,701,709,718,728,729,743,748,759,770,776,788,797,801,811,822,825,836,844,849,865,866,880,885,897,901,913,920,925,936,950,952,963,973,979,993,999,1007,1017,1025,1030,1044,1047,1061,1065,1075,1081,1088,1103,1107,1117,1124,1132,1142,1149,1163,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,15,21,26,37,48,54,64,69,83,91,99,108,115,123,135,144,153,155,166,173,313,325,329,335,351,355,368,376,379,393,397,407,414,425,430,440,599,609,610,619,634,640,643,659,666,673,685,687,697,710,720,724,730,744,753,755,767,773,788,794,798,806,818,825,831,847,856,861,867,879,885,898,902,914,918,930,942,944,953,963,974,978,985,996,1005,1016,1024,1033,1041,1047,1060,1066,1072,1082,1088,1102,1108,1118,1126,1133,1141,1147,1159,1172,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,10,24,30,38,44,51,62,74,80,85,98,104,115,125,135,140,147,156,165,172,316,323,330,341,346,356,362,376,378,390,400,404,413,424,432,445,598,602,616,622,631,643,648,659,665,676,682,694,697,704,714,725,734,744,748,761,769,775,786,794,802,809,815,827,832,847,855,857,869,877,883,897,903,913,918,930,939,949,957,960,974,976,993,1001,1008,1016,1027,1030,1036,1051,1059,1066,1077,1084,1090,1097,1106,1115,1126,1134,1140,1150,1158,1168,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,9,18,30,39,43,56,63,73,85,92,102,108,112,120,136,139,153,157,169,176,184,322,334,341,346,358,361,372,381,388,396,409,413,427,434,441,467,604,614,624,630,640,647,652,664,677,681,688,702,705,718,723,733,743,747,762,771,780,783,794,803,809,821,826,839,844,855,857,869,881,890,893,900,911,920,931,939,943,952,966,969,976,992,996,1008,1013,1021,1031,1040,1053,1059,1065,1072,1079,1094,1100,1108,1117,1123,1131,1140,1148,1161,1172,1173	0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,10,20,32,38,43,58,64,69,82,91,102,106,111,127,128,144,148,158,170,178,317,326,327,342,351,354,367,375,386,388,402,411,416,424,434,439,599,602,609,625,628,642,644,653,663,669,686,688,695,704,720,724,736,742,749,763,765,776,784,792,801,810,817,829,837,841,851,858,873,881,885,895,901,909,917,927,941,950,957,966,972,980,986,993,1008,1011,1020,1034,1038,1047,1055,1069,1071,1080,1090,1101,1104,1114,1125,1137,1142,1148,1161,1171,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,30,40,45,56,64,68,77,88,96,104,113,126,131,143,147,156,164,177,317,318,330,335,345,360,364,376,378,388,397,407,417,423,436,440,454,607,613,620,627,638,649,653,661,673,684,688,703,710,717,725,736,742,747,758,770,777,784,790,800,805,814,828,838,845,852,857,868,880,890,892,901,915,919,929,935,943,954,964,972,984,992,999,1006,1018,1024,1036,1043,1051,1061,1065,1073,1080,1092,1102,1113,1118,1126,1135,1142,1151,1157,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,18,30,38,49,55,63,69,78,86,98,105,115,120,134,140,149,155,164,175,318,325,329,343,345,360,363,369,379,388,397,409,416,423,434,440,599,606,613,621,631,637,646,654,668,675,685,694,701,707,717,722,729,744,747,759,767,773,788,792,801,807,816,831,838,847,855,862,871,875,884,898,902,910,925,929,938,943,958,967,976,982,992,996,1006,1014,1019,1029,1039,1049,1057,1066,1070,1081,1094,1104,1109,1113,1124,1130,1143,1151,1158,1171,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,18,30,34,50,56,64,76,79,91,97,109,111,127,136,141,149,154,168,174,318,321,334,340,351,357,368,378,386,391,398,409,415,429,430,438,600,608,610,623,629,642,649,656,664,675,686,688,701,709,715,727,737,738,746,762,768,779,784,790,804,813,816,826,839,840,852,861,868,881,886,892,900,911,918,925,936,947,951,961,976,977,987,999,1006,1016,1023,1034,1039,1047,1059,1066,1077,1086,1090,1098,1112,1115,1126,1132,1140,1153,1161,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,11,21,28,34,47,54,67,68,84,88,102,104,113,124,135,139,146,158,164,172,199,323,328,343,345,359,366,377,379,394,402,404,418,422,432,446,460,605,612,624,627,639,649,654,666,669,686,692,698,705,716,725,734,737,746,762,771,777,787,794,802,812,820,827,832,841,854,858,869,876,884,898,905,914,917,926,938,948,958,963,973,977,989,997,1007,1016,1022,1033,1037,1045,1061,1064,1071,1080,1092,1097,1113,1114,1127,1131,1145,1148,1161,1164,1177	1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
2,12,17,32,35,51,56,64,73,83,88,100,104,113,122,131,144,148,154,165,175,313,321,331,336,344,356,369,373,383,389,399,409,419,422,437,442,467,604,614,618,631,635,651,659,664,671,685,692,696,708,719,728,733,743,752,756,769,771,788,794,800,808,822,828,837,841,853,863,869,877,885,894,899,908,919,931,941,942,951,964,972,979,990,1001,1008,1013,1025,1029,1043,1047,1054,1068,1075,1085,1094,1101,1112,1114,1124,1131,1139,1151,1156,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,22,29,39,43,55,60,76,83,87,99,108,113,121,129,140,152,157,168,175,317,326,327,338,349,360,367,374,386,391,400,410,419,427,435,439,597,602,614,624,628,639,645,653,664,671,679,687,698,710,713,720,730,741,748,754,763,772,784,790,802,808,817,826,834,847,852,857,870,882,884,895,900,915,924,929,938,948,954,964,976,985,992,994,1007,1013,1021,1029,1038,1045,1061,1063,1076,1080,1093,1103,1111,1119,1124,1133,1141,1155,1156,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,19,28,39,49,58,64,72,82,92,97,106,119,126,128,143,147,161,170,172,314,319,327,337,349,358,367,374,384,389,395,404,418,422,436,441,460,605,613,618,627,638,647,660,666,675,685,691,701,706,717,724,737,738,752,761,766,772,780,794,805,806,820,827,837,844,852,863,868,875,883,894,905,916,921,930,935,946,955,959,969,981,986,1000,1002,1013,1023,1034,1040,1050,1059,1065,1076,1083,1093,1096,1111,1121,1123,1131,1142,1153,1162,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,10,22,28,34,50,56,67,75,82,88,96,104,113,126,133,138,152,158,164,177,316,320,330,343,344,355,365,372,380,391,402,410,416,423,430,441,470,605,612,624,630,640,644,658,667,669,682,687,699,704,712,722,735,745,746,758,765,777,786,794,797,809,815,823,833,844,851,861,867,878,889,897,903,915,920,933,940,943,951,960,968,983,985,997,1008,1011,1023,1035,1040,1047,1054,1070,1071,1079,1088,1102,1107,1115,1124,1136,1142,1154,1159,1164,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,16,19,31,36,47,54,65,74,78,89,96,104,114,122,133,137,150,159,168,176,315,326,333,336,351,359,365,370,380,392,395,408,415,428,437,440,596,609,610,622,628,640,647,657,668,671,683,690,696,708,717,722,731,738,753,755,771,778,784,792,801,811,816,829,832,842,852,858,867,875,889,893,904,914,917,930,936,944,951,962,974,983,992,1001,1003,1012,1020,1030,1040,1048,1057,1068,1078,1081,1095,1101,1108,1120,1129,1136,1141,1150,1164,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,9,23,27,34,50,53,60,74,84,93,100,106,119,122,135,144,153,159,163,174,314,321,330,341,344,352,368,369,381,388,400,408,415,424,433,445,451,609,611,622,628,636,647,658,660,672,678,690,695,706,715,728,730,739,750,761,770,776,784,790,803,811,821,827,834,841,854,860,873,879,885,898,903,911,920,927,937,946,958,965,974,979,992,1000,1005,1018,1024,1035,1040,1051,1061,1070,1071,1081,1093,1100,1106,1118,1123,1138,1141,1152,1156,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,11,20,27,36,50,57,62,76,82,89,100,110,112,121,134,138,145,161,166,174,313,320,333,341,344,353,367,369,378,394,398,404,418,426,432,446,451,605,613,623,633,640,651,659,663,673,680,687,703,704,714,724,733,743,748,760,764,778,787,794,802,809,816,827,834,842,856,865,869,874,884,895,906,916,922,930,939,948,958,962,974,977,988,998,1005,1015,1024,1030,1038,1052,1053,1067,1072,1083,1094,1099,1110,1118,1128,1135,1142,1147,1157,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,12,25,27,35,44,52,62,75,80,86,98,107,112,126,132,140,151,162,169,171,313,326,331,337,346,359,365,373,386,393,395,404,416,424,437,445,599,608,611,622,631,636,648,659,666,676,682,693,699,709,712,725,735,742,750,756,766,778,783,792,802,806,817,825,834,847,853,861,871,882,886,896,903,916,917,929,939,944,956,967,970,981,992,994,1005,1016,1021,1028,1042,1046,1057,1069,1077,1084,1089,1103,1107,1117,1128,1136,1145,1149,1161,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,25,29,41,49,52,66,76,81,88,98,103,115,119,130,139,153,157,168,172,313,323,328,342,351,355,364,374,382,390,396,405,417,421,435,439,599,606,614,626,630,635,650,660,661,676,681,692,699,703,716,722,729,743,752,757,764,779,784,794,798,806,816,829,832,840,856,859,869,879,890,892,906,913,923,933,939,945,956,961,969,980,990,998,1007,1016,1027,1033,1036,1050,1057,1062,1077,1084,1088,1102,1112,1118,1124,1138,1143,1148,1156,1168,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,25,28,35,48,55,61,69,81,86,102,104,113,127,132,137,147,159,166,175,314,324,333,335,350,360,361,371,379,389,402,411,414,425,430,445,599,607,615,625,626,638,651,654,663,674,683,689,702,705,716,727,736,739,749,761,767,777,780,795,798,811,816,829,832,848,853,862,868,881,886,892,903,911,923,933,934,945,956,964,970,978,993,999,1007,1012,1019,1028,1043,1048,1056,1063,1073,1079,1088,1097,1110,1116,1123,1135,1145,1150,1164,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,15,23,32,34,42,54,66,75,83,90,100,102,114,121,129,143,153,155,165,176,314,322,333,342,351,360,368,370,384,388,399,406,414,424,430,444,463,609,610,621,633,642,651,660,664,673,682,694,702,705,712,728,735,745,747,761,771,779,785,790,801,811,816,824,836,847,853,858,868,879,883,893,905,916,918,932,938,945,957,966,973,977,988,996,1002,1018,1025,1035,1037,1048,1059,1064,1078,1080,1091,1098,1109,1114,1124,1132,1145,1153,1158,1171,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,11,17,29,38,43,55,63,74,81,86,98,107,117,125,128,140,152,160,168,172,315,325,327,338,349,355,369,372,379,389,395,407,417,425,430,442,600,601,615,624,633,637,651,654,662,674,677,691,698,710,714,723,732,745,751,755,768,774,781,795,799,807,819,829,834,842,850,857,870,880,884,892,900,908,917,933,935,946,959,966,972,982,987,995,1005,1016,1022,1031,1038,1045,1061,1069,1076,1082,1094,1104,1112,1116,1127,1133,1144,1151,1164,1167,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
0,14,19,32,40,44,53,65,72,79,91,99,107,113,120,134,139,152,158,162,178,186,323,329,340,345,353,366,371,385,393,402,405,413,428,436,441,457,603,616,625,633,637,648,655,664,673,685,693,697,707,714,724,732,742,747,762,768,774,782,793,804,811,820,828,832,842,854,859,865,877,886,893,907,910,923,928,939,943,951,962,975,981,989,996,1009,1015,1022,1029,1039,1047,1054,1066,1075,1079,1089,1100,1107,1114,1126,1137,1142,1150,1160,1166	1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,11,23,30,39,46,59,60,70,79,90,101,106,117,124,129,141,151,159,163,174,182,323,335,341,349,352,361,373,381,389,395,408,412,422,432,438,600,607,614,623,635,636,646,658,661,671,685,687,702,711,713,721,736,739,749,757,767,775,784,796,803,807,817,829,838,844,856,862,867,874,886,895,905,916,920,927,937,945,954,965,969,983,990,998,1005,1016,1022,1029,1038,1048,1058,1070,1073,1083,1087,1099,1112,1120,1123,1137,1142,1151,1159,1169,1173	1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,13,25,29,39,44,59,66,75,82,92,98,107,111,125,133,138,146,156,163,174,184,322,332,341,346,358,366,372,379,391,401,410,413,423,433,441,457,605,617,623,631,637,644,660,663,674,679,689,701,710,716,727,729,741,753,761,771,779,780,795,803,808,821,830,833,846,851,857,868,875,884,899,907,909,917,928,934,948,957,965,975,978,987,995,1004,1016,1027,1029,1042,1046,1058,1067,1074,1079,1090,1098,1112,1118,1128,1132,1146,1147,1159,1169,1176	0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
3,16,21,28,34,44,51,62,70,83,91,100,106,112,123,128,137,147,159,166,171,179,321,333,338,346,356,363,377,381,388,396,406,414,425,430,445,463,602,610,624,634,638,649,654,663,674,682,690,701,709,715,724,729,737,753,761,770,778,784,789,801,807,818,826,833,848,854,857,870,876,889,896,903,916,924,926,938,946,955,960,975,984,986,999,1004,1013,1024,1034,1043,1051,1055,1062,1070,1082,1093,1098,1107,1115,1122,1135,1145,1153,1158,1169,1175	1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,12,17,30,40,49,51,66,72,81,89,94,108,111,122,132,139,148,161,169,175,201,319,330,341,348,355,369,371,386,389,400,408,416,422,431,439,596,601,614,623,627,639,649,654,665,674,681,689,700,708,717,725,736,741,750,761,771,776,785,792,802,807,817,826,835,848,849,862,868,880,888,892,904,915,922,926,936,949,956,960,972,977,993,996,1002,1018,1024,1036,1038,1050,1060,1068,1076,1082,1092,1103,1110,1120,1124,1132,1139,1148,1157,1170	1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,8,21,27,34,49,58,61,75,84,85,101,102,119,123,132,144,151,158,170,175,189,319,329,343,346,354,362,374,383,391,398,411,413,422,430,445,466,603,616,625,629,638,644,653,668,677,679,693,699,704,717,722,733,741,750,758,766,777,787,793,801,811,815,824,831,846,856,859,870,882,883,895,903,912,921,929,938,943,957,960,970,977,990,997,1007,1013,1023,1028,1039,1051,1061,1064,1074,1082,1090,1104,1111,1120,1123,1134,1140,1155,1159,1169,1176	1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,14,22,32,34,45,55,60,72,80,86,101,105,115,126,129,140,151,156,168,178,179,321,328,341,351,359,362,377,382,387,398,411,416,422,437,440,598,602,611,619,634,638,651,652,663,670,681,689,698,711,717,722,735,744,748,758,771,772,781,788,798,809,817,831,834,845,854,860,868,876,890,896,906,908,921,929,938,945,951,960,970,980,986,998,1009,1011,1025,1032,1043,1046,1056,1070,1078,1086,1094,1103,1111,1118,1129,1133,1144,1151,1161,1169,1176	0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
1,10,25,32,39,44,55,62,72,83,88,96,104,117,125,130,140,150,156,166,173,193,325,330,343,350,353,363,374,385,395,397,405,418,422,436,443,599,604,614,619,627,643,648,657,662,672,685,690,700,711,712,728,734,742,751,762,765,772,788,794,801,810,815,830,837,842,856,864,869,875,888,896,905,911,925,933,942,949,953,965,973,984,988,1000,1008,1016,1021,1028,1039,1053,1055,1070,1074,1085,1092,1098,1109,1116,1123,1132,1142,1147,1163,1171,1177	1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,18,29,41,42,53,62,71,84,92,96,105,111,123,132,144,151,155,169,172,314,325,333,336,349,355,364,372,380,393,397,412,420,423,434,446,450,609,616,625,627,636,647,653,664,670,680,694,698,704,716,728,734,741,752,760,768,776,782,792,797,813,816,829,831,841,854,860,871,878,883,898,901,909,923,931,936,945,952,960,974,978,987,996,1004,1017,1022,1035,1037,1050,1058,1063,1070,1085,1089,1097,1111,1115,1126,1133,1140,1154,1156,1170,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,9,24,26,35,42,59,60,76,79,86,98,110,113,125,134,141,153,157,162,175,184,318,328,341,351,360,367,375,379,393,396,406,415,428,434,443,599,605,615,620,633,636,648,660,664,669,684,692,695,705,713,728,736,743,747,754,765,776,787,791,805,814,817,831,838,840,850,861,874,879,890,894,905,915,923,927,938,943,956,964,976,979,989,999,1002,1016,1026,1034,1044,1047,1058,1066,1075,1082,1093,1101,1105,1114,1124,1131,1143,1153,1162,1173,1176	1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,13,17,25,38,48,57,67,71,85,89,101,110,114,119,131,139,151,156,168,172,180,319,332,342,346,354,361,377,379,392,396,410,416,423,430,439,600,607,611,623,631,640,644,653,664,673,680,693,698,707,716,726,730,741,753,758,765,772,788,795,797,808,822,830,832,846,852,857,869,881,884,896,906,912,924,932,940,943,953,960,968,979,985,999,1007,1014,1022,1028,1041,1045,1059,1067,1073,1080,1089,1102,1111,1114,1129,1136,1144,1151,1161,1172,1176	0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,13,18,32,35,47,56,65,76,80,93,94,106,119,126,135,143,148,156,170,171,182,323,335,339,347,354,367,376,381,390,400,405,420,426,430,446,600,607,613,623,630,636,643,652,664,675,685,689,697,705,715,728,735,738,752,762,766,776,786,796,804,811,814,830,838,840,857,860,869,874,886,899,906,911,920,931,934,948,953,960,970,977,989,994,1003,1016,1019,1028,1043,1045,1058,1068,1072,1082,1094,1097,1110,1114,1122,1137,1147,1151,1158,1168,1177	0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
5,10,21,29,41,45,53,66,70,82,91,100,106,112,124,135,144,148,160,167,172,185,323,332,339,348,357,362,370,379,394,396,411,413,421,436,441,598,603,610,625,626,641,648,658,661,675,683,693,697,707,713,720,737,739,750,763,769,777,782,792,799,806,815,826,836,842,853,857,868,880,887,894,906,910,921,930,938,946,952,964,971,985,986,994,1005,1013,1024,1029,1043,1047,1054,1066,1073,1082,1088,1102,1106,1114,1125,1131,1146,1152,1158,1172,1178	1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,13,20,30,34,44,56,63,69,84,93,97,110,115,124,132,138,149,157,165,178,179,323,328,342,352,355,363,371,381,393,401,411,413,423,437,443,596,602,615,623,629,643,649,658,665,673,684,690,702,704,713,721,737,746,752,756,765,776,783,791,804,813,816,825,839,845,853,857,867,877,888,892,908,915,924,929,936,948,957,968,976,977,987,995,1007,1012,1027,1029,1041,1050,1060,1065,1072,1081,1092,1098,1107,1113,1128,1138,1144,1151,1160,1168	1,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,14,25,28,37,46,54,63,69,83,92,97,108,117,124,135,145,147,158,164,174,189,322,329,336,350,355,363,377,378,390,395,411,415,423,436,439,599,605,614,619,634,639,650,660,668,672,682,686,698,707,713,728,734,738,753,756,769,775,780,792,801,805,816,824,836,848,854,864,867,878,887,898,908,915,917,926,937,945,951,966,974,982,992,1001,1010,1014,1023,1032,1040,1047,1061,1065,1070,1080,1093,1098,1110,1114,1124,1135,1141,1153,1163,1170,1175	1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,11,23,30,34,45,57,60,73,81,92,101,105,113,126,134,139,151,160,165,175,313,320,327,340,347,359,364,372,380,392,397,405,413,422,433,445,598,603,612,623,631,636,648,657,666,672,683,688,697,708,716,723,732,745,754,757,769,773,783,792,804,806,822,829,838,845,850,864,871,880,890,892,906,916,922,928,939,948,957,962,973,982,992,998,1005,1014,1019,1032,1036,1051,1056,1069,1077,1086,1094,1100,1112,1118,1124,1131,1141,1155,1156,1166,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,14,22,25,34,48,54,63,68,82,89,99,105,117,120,131,143,153,161,164,173,316,321,327,336,345,357,368,372,384,394,403,406,419,424,433,440,596,604,616,624,628,636,647,656,667,670,681,688,696,710,718,724,733,742,751,759,767,775,787,792,805,810,817,824,834,844,852,859,869,880,889,892,903,912,922,933,939,945,954,962,976,978,986,1001,1009,1018,1027,1035,1038,1052,1061,1066,1075,1083,1095,1096,1111,1119,1126,1138,1146,1149,1159,1165	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,16,20,28,40,46,58,63,73,81,90,95,104,116,121,132,137,146,161,164,174,315,326,334,337,344,360,364,375,384,389,396,411,418,421,430,445,598,606,616,625,629,636,647,658,668,674,681,689,698,707,712,723,734,743,754,758,766,775,785,793,805,814,816,827,836,841,850,859,872,879,889,898,903,916,921,929,937,942,951,962,975,980,992,1001,1005,1011,1020,1032,1039,1052,1053,1069,1076,1086,1091,1096,1109,1120,1128,1132,1143,1154,1156,1167,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,21,27,38,43,53,67,70,85,89,97,109,114,121,135,140,152,161,168,171,313,319,328,337,346,355,367,377,379,391,396,406,419,422,429,444,461,602,617,620,627,642,646,658,661,676,682,690,695,711,718,725,731,742,750,759,769,772,784,796,799,809,816,825,833,845,853,864,873,879,882,895,905,914,917,929,936,946,958,964,974,979,988,993,1005,1017,1025,1031,1043,1050,1057,1070,1075,1084,1087,1096,1107,1114,1123,1131,1141,1155,1162,1167	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,21,29,41,44,54,63,76,85,88,100,103,113,123,129,141,152,160,168,174,315,323,332,338,350,353,364,377,383,388,401,411,418,423,430,440,600,608,617,626,634,637,645,656,661,671,680,690,698,709,717,720,732,743,753,761,769,776,784,793,801,809,819,827,831,846,849,860,870,879,889,898,905,915,920,928,941,948,954,964,970,981,991,999,1003,1019,1025,1035,1039,1051,1056,1069,1071,1079,1089,1102,1113,1119,1125,1138,1139,1154,1159,1170,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,22,32,40,44,52,65,69,77,88,100,106,116,126,130,139,148,158,168,174,315,325,329,338,344,355,361,377,382,389,400,408,415,421,430,445,597,602,612,625,629,640,651,655,664,676,681,688,698,709,718,721,730,737,747,758,771,774,781,796,800,808,816,828,835,846,855,861,872,882,887,892,901,912,918,927,939,947,952,962,973,977,989,993,1005,1013,1021,1032,1043,1053,1055,1070,1073,1079,1095,1104,1106,1113,1122,1133,1141,1152,1162,1166	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,11,22,25,42,45,51,60,71,78,88,101,104,119,125,134,144,148,156,164,172,314,321,332,336,350,354,361,375,383,392,397,404,414,426,431,442,458,609,616,623,628,639,645,657,666,670,684,693,700,710,712,727,729,739,750,756,769,778,783,796,799,813,820,829,836,841,852,859,873,878,890,893,907,913,919,926,937,945,953,967,974,982,985,998,1006,1013,1027,1036,1040,1049,1061,1068,1077,1079,1092,1097,1110,1121,1124,1133,1140,1148,1163,1171	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,11,25,28,38,44,56,61,76,80,90,99,107,119,125,130,140,151,159,162,174,317,324,329,335,350,357,361,372,385,388,398,403,419,421,436,443,598,601,610,625,627,637,650,654,663,672,682,692,700,707,719,728,729,737,753,757,763,773,780,793,801,813,819,828,836,840,851,857,870,876,890,893,906,910,919,929,939,943,956,959,968,979,988,1001,1006,1015,1022,1030,1040,1047,1060,1065,1070,1083,1092,1101,1110,1115,1127,1131,1140,1154,1160,1172	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,11,17,32,38,49,51,67,73,80,89,96,104,111,121,133,136,149,158,166,170,189,323,328,337,351,356,365,371,383,386,398,410,418,424,436,440,597,607,616,620,631,636,650,654,662,677,685,691,702,705,720,725,733,742,746,761,763,772,784,790,805,807,821,831,833,846,851,857,870,880,890,899,906,915,919,927,934,948,958,963,969,976,986,1001,1004,1013,1026,1036,1041,1045,1057,1063,1078,1085,1095,1103,1108,1117,1125,1131,1144,1147,1160,1164,1177	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,22,30,40,44,52,67,72,82,91,96,110,116,124,130,144,148,157,162,173,315,326,331,335,347,353,365,374,382,387,402,411,420,425,435,440,598,601,617,626,633,639,645,656,662,673,682,694,701,711,715,726,735,742,753,757,763,773,788,792,800,812,816,826,833,848,849,861,869,880,890,897,906,908,917,931,942,949,958,965,973,981,992,1001,1003,1016,1026,1030,1039,1049,1059,1067,1071,1086,1093,1098,1111,1118,1125,1136,1141,1148,1157,1164	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,13,22,28,42,45,59,63,69,80,87,99,110,111,124,136,142,151,161,167,174,313,322,329,337,345,360,368,372,381,388,398,411,417,423,432,443,599,604,611,618,630,636,649,659,661,675,685,688,697,708,713,728,732,745,752,755,765,777,787,792,798,813,821,829,835,845,851,863,868,879,890,892,903,909,922,926,940,950,958,965,974,980,987,997,1003,1013,1027,1028,1039,1052,1060,1069,1070,1085,1092,1099,1112,1116,1127,1136,1139,1148,1156,1166,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,10,20,28,38,47,55,65,72,78,93,100,104,113,123,131,139,150,159,169,176,317,324,327,343,344,355,364,377,385,395,397,404,417,426,431,438,599,609,616,620,632,636,644,655,661,673,684,686,703,709,715,723,729,742,751,755,764,776,788,789,805,807,820,824,835,844,851,861,866,878,887,893,906,914,923,929,936,949,956,960,976,977,990,994,1010,1019,1024,1029,1044,1045,1060,1065,1074,1084,1096,1102,1105,1119,1129,1130,1145,1147,1158,1172,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,10,24,32,35,46,54,62,68,82,86,102,107,111,120,132,145,147,153,170,178,314,326,335,340,349,356,365,370,384,387,397,407,414,425,432,444,600,608,613,624,631,640,647,658,667,670,683,693,703,709,715,724,731,739,751,758,768,779,787,795,799,814,817,824,835,844,851,863,873,876,887,899,900,911,917,931,936,949,952,962,974,982,988,1000,1009,1014,1023,1031,1042,1045,1055,1068,1077,1079,1092,1099,1112,1121,1122,1133,1142,1154,1162,1170	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,14,17,31,38,48,54,59,71,83,89,96,102,112,121,134,136,149,159,169,171,193,324,329,339,346,356,367,377,384,394,398,407,415,421,434,441,597,603,610,621,634,637,644,660,662,670,679,687,694,708,715,726,730,744,750,762,771,772,780,797,798,807,817,823,832,842,851,857,873,878,886,895,900,911,924,933,938,950,955,962,970,981,987,997,1008,1012,1020,1033,1036,1046,1057,1065,1077,1084,1095,1099,1113,1119,1125,1137,1145,1154,1160,1173,1178	0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,16,23,30,39,50,58,60,73,79,92,98,106,111,119,129,139,151,161,164,172,315,318,330,337,351,355,362,371,383,388,398,408,414,422,429,440,598,604,610,622,627,636,648,653,667,674,686,693,697,710,712,722,731,738,746,760,768,772,785,791,800,811,818,827,833,842,856,861,867,882,888,893,901,912,919,928,935,945,955,964,975,977,986,997,1006,1017,1022,1028,1040,1051,1053,1063,1077,1080,1087,1099,1112,1120,1124,1137,1141,1152,1156,1168,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,14,25,27,37,46,56,61,76,77,86,96,108,119,124,132,143,146,155,168,173,318,320,332,342,350,357,364,369,382,389,398,409,414,424,430,441,600,606,612,626,628,640,648,652,662,677,684,694,699,711,717,722,731,743,748,754,769,778,785,794,802,807,817,825,832,840,850,860,866,877,883,895,903,915,918,926,939,948,951,967,970,977,986,995,1007,1015,1024,1033,1040,1051,1060,1063,1074,1081,1095,1096,1110,1114,1124,1137,1144,1151,1158,1165,1176	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,13,17,27,38,46,54,61,76,82,88,95,107,116,122,131,138,151,155,168,178,313,325,331,336,351,358,367,377,382,392,401,411,420,425,432,445,466,602,614,622,627,642,650,653,665,673,685,691,700,711,713,723,736,745,748,762,768,775,784,790,804,809,819,828,833,844,848,863,867,876,887,899,906,914,925,927,937,945,953,965,972,982,985,995,1008,1011,1022,1035,1039,1049,1059,1062,1076,1084,1088,1104,1106,1121,1122,1135,1144,1150,1163,1169,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
5,12,22,27,41,42,54,61,68,85,87,100,106,111,123,134,141,153,156,166,172,313,325,328,340,344,354,367,376,382,391,397,406,416,422,432,440,598,601,614,625,634,642,648,652,668,674,680,686,699,708,712,728,732,745,749,756,763,771,784,796,804,811,818,831,832,845,853,863,871,875,888,892,908,914,922,925,934,945,957,959,972,980,992,1000,1008,1011,1024,1027,1038,1045,1058,1063,1070,1083,1093,1099,1111,1117,1126,1132,1145,1151,1159,1169,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
3,14,24,28,40,44,53,65,70,83,93,95,109,118,123,129,138,151,156,164,174,313,320,334,341,350,353,367,375,384,392,402,408,418,426,436,444,468,607,615,618,632,641,650,655,666,673,678,688,697,711,713,721,730,742,749,757,763,774,787,792,799,806,819,825,837,848,849,862,872,881,883,897,905,911,919,932,939,943,958,965,971,979,991,996,1004,1019,1024,1035,1044,1050,1058,1062,1077,1082,1089,1096,1113,1114,1129,1131,1139,1155,1164,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
6,12,24,29,41,44,57,65,73,84,92,97,110,115,122,132,138,146,160,168,177,313,318,334,335,348,360,364,373,379,388,400,411,420,428,432,445,600,605,609,618,628,643,647,659,665,676,682,690,698,711,716,724,734,742,751,761,766,779,782,794,801,806,817,830,835,847,852,865,868,877,889,894,901,909,917,933,937,950,954,959,974,980,990,1000,1005,1017,1022,1030,1039,1048,1059,1062,1078,1083,1088,1103,1111,1115,1127,1130,1139,1149,1157,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,13,17,33,40,46,57,61,72,81,85,101,110,118,126,132,143,151,159,165,174,314,320,331,342,349,360,361,373,384,391,403,407,416,424,433,441,596,606,612,619,633,637,647,653,668,674,681,686,702,711,712,726,731,745,747,761,764,774,782,791,801,814,822,829,833,841,853,861,872,876,887,897,906,909,922,930,940,948,955,962,972,980,988,1002,1004,1017,1019,1030,1041,1053,1057,1064,1078,1085,1091,1097,1105,1116,1122,1133,1139,1149,1157,1164,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
8,15,18,28,36,49,57,67,74,77,91,101,102,111,121,136,140,151,161,163,177,316,318,333,341,352,355,364,372,382,387,403,411,413,427,437,441,461,600,615,621,631,638,645,660,664,674,685,688,695,707,713,725,733,737,746,758,768,773,781,792,802,808,822,831,832,842,849,865,866,882,887,899,907,915,919,925,939,943,953,966,976,977,989,993,1006,1014,1020,1029,1044,1045,1055,1070,1078,1083,1092,1100,1111,1116,1130,1135,1147,1149,1160,1169,1178	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
4,12,20,25,40,45,55,62,71,80,91,99,102,113,121,130,137,151,155,162,171,315,321,334,335,350,359,365,373,378,393,397,406,414,427,433,443,598,606,613,626,630,635,643,658,662,674,683,693,697,704,720,724,734,742,753,756,771,772,787,794,803,812,819,823,839,845,855,857,868,881,883,895,905,913,924,925,940,949,953,965,974,984,988,999,1008,1012,1025,1034,1042,1052,1056,1066,1078,1087,1093,1097,1108,1114,1122,1133,1139,1152,1157,1173,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,13,24,27,37,48,58,64,71,81,93,96,103,113,128,133,140,150,156,168,178,313,324,327,343,351,359,364,371,378,390,403,410,417,426,436,444,462,604,614,619,627,643,645,657,668,671,681,689,699,705,720,727,731,739,750,756,769,778,783,789,801,813,819,826,832,840,851,862,871,879,885,893,901,916,922,928,937,944,951,962,971,984,988,1000,1004,1018,1023,1031,1040,1050,1054,1062,1073,1080,1094,1101,1111,1113,1127,1137,1142,1155,1163,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
2,16,20,27,40,43,53,63,69,84,92,99,110,112,121,128,143,153,157,169,174,315,325,333,336,344,356,364,373,383,389,402,411,413,429,436,439,600,607,615,626,631,635,647,655,660,674,678,694,698,708,719,723,731,742,747,760,767,778,784,795,805,813,820,824,832,842,849,864,866,875,886,896,901,909,925,928,936,946,957,965,974,983,986,998,1010,1012,1021,1033,1043,1045,1055,1062,1071,1080,1087,1102,1107,1117,1122,1133,1140,1155,1162,1165,1174	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
1,9,23,26,36,48,57,68,71,78,86,98,103,113,127,134,141,147,156,164,171,318,320,334,340,349,359,361,371,381,388,398,403,415,427,435,438,454,605,610,625,632,639,648,656,665,670,685,690,697,706,716,721,732,737,746,758,768,775,785,793,799,808,816,831,835,844,852,861,873,881,887,897,904,909,918,928,941,944,955,967,970,984,988,996,1003,1012,1026,1035,1041,1047,1055,1066,1071,1086,1088,1102,1109,1116,1126,1132,1145,1150,1160,1165,1175	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
7,16,21,27,40,43,51,64,72,78,90,98,102,111,125,136,139,147,155,163,175,316,325,332,337,344,357,363,374,383,392,397,410,416,425,434,441,448,601,610,624,630,643,652,658,664,671,679,687,694,708,720,726,736,740,752,755,764,775,786,793,799,812,817,825,834,840,854,859,873,881,883,897,907,911,923,933,934,944,956,964,972,984,991,997,1007,1014,1020,1029,1038,1050,1056,1064,1077,1087,1090,1096,1111,1116,1122,1130,1140,1148,1156,1166,1173	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,16,24,27,34,46,56,66,71,81,91,96,107,116,121,129,143,145,157,169,176,180,324,330,342,348,353,362,375,382,389,397,410,420,423,433,439,600,601,611,624,628,642,647,659,666,669,681,692,697,708,713,728,729,737,752,755,765,773,785,796,805,807,814,827,837,846,849,863,872,877,885,891,908,916,918,925,934,944,957,962,974,979,992,997,1007,1012,1021,1036,1041,1052,1058,1069,1071,1082,1092,1102,1106,1117,1127,1130,1140,1149,1161,1171,1174	0,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
2,15,24,30,42,47,55,60,74,83,93,101,106,115,127,134,136,146,154,163,176,181,321,329,335,352,358,362,373,381,389,397,405,412,423,431,443,596,601,612,621,626,641,648,659,661,676,681,689,703,706,718,723,735,743,753,760,763,773,783,792,800,810,819,831,832,846,856,865,867,876,890,899,904,909,924,926,934,944,958,968,970,977,988,998,1006,1018,1022,1031,1041,1047,1055,1068,1078,1079,1090,1099,1107,1114,1127,1130,1145,1149,1161,1164,1177	1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,8,23,31,37,47,59,67,68,83,88,95,107,117,125,131,141,148,161,167,172,181,324,329,341,349,359,361,371,382,394,399,405,414,423,434,445,467,604,614,625,633,636,646,654,667,670,680,687,700,704,713,726,735,744,750,758,764,776,786,790,799,809,816,822,836,840,850,865,867,879,884,896,904,914,923,927,938,944,951,963,973,978,989,999,1008,1014,1024,1029,1038,1048,1061,1069,1075,1081,1090,1103,1112,1113,1128,1133,1146,1152,1162,1166,1174	1,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,8,21,26,42,45,51,67,70,78,86,94,110,116,120,130,138,145,157,163,173,192,319,333,337,349,356,362,375,382,388,397,404,420,425,437,439,466,606,616,622,628,640,645,654,669,672,681,693,700,709,715,721,733,744,752,758,766,777,781,790,800,813,820,827,835,842,851,861,873,879,885,896,900,914,918,931,937,942,957,963,971,978,985,1000,1004,1017,1023,1030,1039,1045,1059,1065,1072,1081,1091,1097,1112,1113,1123,1131,1141,1150,1160,1169	1,1,0,1,0,0,1,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,12,23,29,39,45,56,62,75,81,91,101,102,119,121,130,138,145,157,166,173,179,318,335,338,344,352,363,371,378,388,401,408,417,423,432,441,599,605,614,620,628,642,647,654,665,671,685,692,698,704,713,728,730,742,754,756,766,773,785,796,799,807,821,827,839,840,854,857,870,880,886,898,902,911,920,929,941,943,952,963,968,982,989,994,1008,1013,1022,1034,1039,1048,1061,1062,1075,1084,1090,1104,1111,1114,1123,1132,1143,1152,1157,1171	1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,15,23,32,36,44,58,64,68,80,93,100,106,113,123,133,143,145,160,169,178,180,324,333,342,346,357,365,375,384,389,396,407,419,425,435,444,598,603,617,624,633,638,646,654,665,675,682,690,697,707,720,723,732,742,746,758,765,774,782,792,799,808,817,828,834,841,855,858,866,874,888,896,906,910,919,929,936,946,951,962,969,984,987,999,1008,1014,1026,1033,1044,1053,1061,1067,1075,1084,1088,1100,1110,1116,1122,1136,1142,1153,1162,1172,1176	1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0