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