[[0,1,2,3,17,33,82,83,84,85,86,123,129,130,158,159,160,162,192,196,201,202,234,251,266,268,290,293,298,300,307,308,310,311,312,313,329,332,333,337,341,343,344,406,407,408,409,410,426,428,429,431,433,435,436,440,492,530,540,541,542,543,544,545,564,566,567,569,570,571,574,576,579,580,618,636,637,640,650,677,684,830,870,908,909,1032,1127,1139,1153,1155,1157,1159,1160,1166,1169,1171,1172,1216,1217,1218,1248,1304,1305,1306,1307,1324,1337,1341,1342,1343,1344,1345,1367,1371,1373,1378,1379,1380,1381,1397,1400,1402,1430],[4,87,89,91,106,112,117,118,127,131,152,161,166,182,183,184,191,194,195,198,200,230,235,257,267,269,270,271,289,297,330,331,335,336,338,339,340,359,386,411,413,424,425,427,430,432,434,438,439,441,443,445,446,447,481,486,488,494,495,496,517,519,521,525,535,546,547,549,550,551,561,562,563,572,575,578,581,619,620,621,639,651,652,653,654,655,670,674,675,678,681,728,766,767,804,936,948,961,962,963,964,965,991,993,995,1034,1035,1036,1062,1088,1126,1131,1140,1141,1150,1154,1158,1165,1170,1213,1214,1219,1250,1308,1310,1311,1328,1331,1334,1347,1348,1360,1362,1363,1365,1366,1370,1375,1376,1383,1394,1395,1410,1411,1413,1426,1431],[6,29,32,58,78,88,92,94,108,109,110,111,115,120,122,126,145,165,167,197,228,260,264,272,273,275,288,291,314,316,317,334,369,383,412,415,437,444,450,452,468,469,475,480,483,485,487,493,497,498,520,522,532,534,537,538,539,552,554,555,556,568,573,622,623,624,641,644,649,659,661,664,669,672,676,680,686,689,729,772,796,805,806,819,820,823,826,828,859,910,911,912,914,916,935,952,955,960,966,989,996,1039,1040,1042,1060,1065,1066,1070,1071,1073,1085,1087,1129,1130,1132,1133,1134,1175,1195,1207,1220,1246,1247,1253,1293,1298,1313,1314,1315,1316,1323,1325,1326,1329,1330,1333,1335,1336,1339,1340,1346,1361,1364,1368,1369,1372,1374,1382,1384,1385,1386,1387,1405,1406,1412,1414,1415,1417,1428,1439],[8,11,23,34,36,68,71,75,90,116,128,154,163,164,169,170,185,186,190,199,220,224,237,238,261,274,276,294,301,315,342,345,361,372,414,419,423,448,449,451,453,467,472,474,478,479,482,484,499,500,501,505,507,508,524,528,529,531,533,548,553,565,583,625,626,627,628,638,643,656,657,658,663,730,747,763,765,770,771,774,789,792,807,808,809,812,814,818,821,824,825,827,829,833,834,850,853,893,905,913,918,922,923,924,934,954,958,967,982,1017,1021,1023,1031,1033,1037,1047,1063,1064,1074,1077,1078,1082,1084,1086,1113,1115,1120,1125,1128,1143,1161,1164,1173,1174,1183,1194,1199,1211,1221,1237,1243,1249,1254,1255,1277,1282,1288,1296,1301,1302,1317,1318,1319,1320,1327,1332,1338,1349,1377,1388,1389,1404,1408,1409,1416],[16,39,74,77,95,102,114,119,121,157,168,171,172,180,181,188,189,206,222,236,265,279,281,304,305,321,370,371,374,416,418,442,454,455,456,476,502,503,506,510,511,516,526,536,557,558,577,582,584,585,586,587,588,589,607,609,612,660,665,679,732,736,749,757,773,776,778,799,810,811,813,815,817,822,832,852,854,858,860,868,871,872,878,920,921,937,938,943,945,951,956,981,984,992,999,1003,1004,1014,1015,1018,1019,1022,1025,1026,1027,1030,1038,1043,1044,1045,1046,1055,1061,1068,1076,1079,1083,1089,1090,1092,1093,1107,1123,1135,1136,1137,1138,1167,1176,1177,1179,1198,1201,1204,1205,1208,1226,1233,1238,1240,1251,1252,1256,1259,1276,1286,1287,1321,1322,1390,1391,1396,1398,1407,1427,1436],[14,15,28,35,38,47,49,70,73,76,93,96,107,149,173,177,203,207,219,231,250,252,255,259,263,277,278,282,284,292,295,299,318,320,322,328,347,351,373,375,393,417,420,422,457,470,491,504,509,513,515,527,559,560,611,616,635,662,667,683,687,688,710,731,733,734,742,748,751,754,758,761,777,780,781,793,795,802,816,831,838,840,856,857,862,865,867,879,884,915,917,919,927,930,939,941,968,969,970,974,983,986,987,1001,1002,1005,1006,1016,1029,1041,1049,1052,1054,1056,1057,1058,1067,1072,1075,1080,1081,1091,1095,1099,1100,1103,1104,1105,1108,1110,1111,1118,1119,1144,1145,1152,1156,1178,1181,1182,1184,1200,1222,1223,1224,1225,1235,1245,1257,1278,1280,1281,1284,1289,1290,1291,1292,1297,1299,1300,1303,1309,1312,1350,1351,1352,1353,1357,1392,1399,1401,1403,1422,1435],[18,26,31,40,53,60,62,67,97,98,100,103,113,151,153,156,174,204,205,211,223,239,241,242,243,253,256,262,280,286,287,302,324,325,326,346,349,352,360,362,364,390,400,421,458,459,460,466,471,473,477,490,514,518,523,595,600,603,629,633,647,648,673,682,691,698,700,705,707,711,721,722,725,726,727,735,737,738,746,750,753,756,764,779,785,797,801,803,835,836,837,839,842,844,846,847,855,863,866,874,883,887,925,926,929,944,949,950,959,971,975,976,979,980,988,990,997,998,1000,1007,1009,1048,1050,1051,1053,1059,1069,1094,1101,1102,1106,1114,1122,1124,1146,1162,1168,1180,1185,1186,1187,1188,1191,1192,1197,1209,1210,1227,1228,1229,1234,1236,1241,1258,1260,1261,1263,1265,1271,1272,1273,1285,1358,1418],[12,13,30,37,41,43,45,46,48,54,55,63,64,65,66,99,105,125,132,133,146,187,193,218,225,227,240,244,246,254,303,306,319,327,348,355,356,357,378,387,397,461,462,463,465,489,512,597,601,630,632,634,668,685,690,692,693,694,699,703,704,708,709,712,713,714,716,718,719,720,723,724,740,741,744,745,752,759,760,762,775,782,784,786,788,790,794,800,841,843,869,873,875,882,896,897,902,904,928,931,933,942,953,973,977,978,1013,1024,1096,1097,1116,1117,1121,1151,1190,1202,1206,1215,1232,1239,1242,1262,1264,1266,1267,1268,1274,1275,1283,1295,1356,1421],[42,59,61,69,72,79,81,104,134,147,150,175,176,209,212,226,232,247,249,258,296,309,323,353,354,363,388,398,403,464,591,608,695,696,697,701,702,706,715,739,743,755,768,769,783,787,791,845,848,864,877,880,881,885,886,889,890,891,892,895,899,900,901,932,940,947,972,985,994,1008,1011,1020,1028,1098,1112,1147,1148,1149,1193,1212,1230,1279,1294,1354,1355,1393,1420,1437],[5,7,19,21,22,25,27,44,50,57,80,124,135,136,139,140,144,155,178,179,208,210,233,245,248,350,365,366,391,394,401,404,590,592,596,605,666,671,717,798,849,851,861,876,888,898,903,906,907,946,1109,1163,1189,1231,1244,1269,1270,1359,1423],[20,24,51,52,101,137,138,141,142,143,148,213,214,215,221,229,367,368,377,380,381,384,392,395,396,399,593,594,598,894,957,1010,1142,1419],[9,10,56,216,217,376,382,385,389,402,405,599,631,642,1012,1425],[283,285,358,379,1424,1429,1438],[602,606,610,614,615,617,1196,1203,1432,1433,1434],[604,613,645,646]]