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