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