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