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