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