[ [ 2, 3, 72, 80, 85, 90, 109, 165, 168, 178, 204, 217, 232, 275, 333, 349, 444, 446, 459, 463, 465, 
      476, 499, 521, 561, 566, 572, 579, 583, 588, 597, 607, 640, 656, 729, 731, 751, 777, 793, 805, 
      827, 848, 869, 886, 921, 963, 964, 984, 986, 1019, 1035, 1037, 1049, 1050, 1058, 1133, 1143, 
      1156, 1176, 1189, 1195, 1206, 1210, 1217, 1245, 1257, 1275, 1297, 1350, 1438, 1449, 1493, 1529, 
      1534, 1578, 1588, 1615, 1633, 1647, 1650, 1718, 1728, 1747, 1807, 1808, 1809, 1907, 2009 ], 
  [ 3, 4, 8, 9, 11, 12, 14, 16, 17, 17, 18, 21, 22, 27, 27, 29, 33, 36, 39, 40, 41, 41, 43, 47, 49, 51, 
      53, 54, 55, 56, 57, 59, 67, 69, 70, 71, 72, 74, 76, 76, 77, 79, 81, 86, 91, 92, 93, 94, 96, 98, 
      98, 100, 102, 103, 104, 105, 107, 109, 112, 113, 115, 117, 118, 118, 123, 124, 126, 127, 132, 
      132, 133, 137, 138, 140, 141, 143, 143, 144, 145, 145, 148, 149, 149, 152, 153, 154, 155, 157, 
      159, 160, 164, 165, 167, 171, 171, 174, 177, 178, 181, 185, 186, 187, 188, 189, 191, 196, 197, 
      199, 199, 203, 203, 203, 207, 210, 210, 211, 214, 214, 218, 222, 223, 223, 224, 225, 225, 231, 
      232, 234, 235, 239, 239, 240, 240, 241, 243, 246, 247, 247, 248, 251, 252, 256, 256, 260, 261, 
      264, 264, 265, 271, 272, 273, 274, 276, 279, 281, 281, 283, 285, 287, 289, 289, 290, 292, 293, 
      293, 294, 298, 301, 301, 305, 306, 307, 313, 314, 315, 315, 316, 318, 323, 323, 323, 324, 325, 
      327, 332, 332, 333, 337, 338, 341, 345, 350, 352, 353, 359, 360, 362, 362, 363, 365, 367, 370, 
      370, 373, 375, 376, 377, 380, 380, 381, 382, 383, 385, 386, 390, 393, 394, 395, 396, 400, 403, 
      404, 409, 409, 410, 412, 414, 414, 415, 417, 422, 424, 426, 428, 433, 433, 434, 437, 439, 440, 
      442, 444, 448, 448, 452, 453, 454, 457, 461, 462, 463, 466, 468, 469, 472, 474, 474, 475, 477, 
      478, 479, 483, 487, 489, 490, 494, 494, 495, 495, 500, 501, 504, 506, 508, 510, 510, 510, 511, 
      511, 513, 517, 518, 519, 521, 527, 529, 530, 532, 534, 536, 539, 541, 541, 542, 544, 546, 548, 
      550, 551, 554, 556, 561, 563, 566, 567, 568, 570, 572, 577, 577, 579, 579, 580, 581, 581, 582, 
      584, 588, 589, 590, 590, 591, 597, 601, 603, 603, 604, 604, 605, 610, 613, 615, 615, 616, 620, 
      625, 625, 631, 631, 636, 641, 642, 644, 646, 647, 653, 654, 655, 656, 658, 658, 659, 661, 665, 
      666, 666, 667, 673, 674, 677, 679, 681, 681, 682, 683, 684, 690, 693, 695, 695, 696, 699, 700, 
      704, 709, 714, 715, 722, 730, 730, 732, 733, 735, 737, 739, 739, 740, 742, 745, 746, 746, 747, 
      748, 749, 756, 757, 760, 760, 761, 763, 764, 766, 767, 773, 776, 778, 781, 781, 784, 785, 788, 
      789, 793, 798, 801, 802, 809, 813, 814, 815, 819, 821, 823, 823, 824, 826, 827, 828, 830, 831, 
      841, 841, 842, 842, 844, 845, 849, 851, 852, 858, 859, 861, 864, 868, 871, 874, 874, 877, 882, 
      883, 884, 893, 896, 897, 899, 904, 906, 908, 908, 909, 910, 913, 915, 915, 925, 926, 927, 928, 
      930, 934, 936, 937, 944, 946, 947, 949, 951, 955, 958, 959, 963, 964, 965, 966, 966, 974, 974, 
      978, 981, 985, 990, 992, 994, 996, 998, 1001, 1008, 1010, 1012, 1013, 1016, 1020, 1022, 1024, 
      1030, 1035, 1036, 1037, 1039, 1043, 1044, 1044, 1046, 1046, 1048, 1048, 1050, 1054, 1059, 1060, 
      1062, 1063, 1071, 1079, 1080, 1082, 1086, 1092, 1094, 1097, 1098, 1101, 1104, 1110, 1112, 1113, 
      1116, 1118, 1118, 1121, 1123, 1123, 1124, 1125, 1125, 1125, 1126, 1127, 1130, 1131, 1133, 1136, 
      1141, 1143, 1144, 1152, 1152, 1154, 1159, 1161, 1161, 1168, 1171, 1173, 1179, 1180, 1181, 1182, 
      1183, 1185, 1185, 1190, 1191, 1192, 1194, 1199, 1200, 1201, 1205, 1205, 1206, 1206, 1208, 1211, 
      1211, 1212, 1214, 1216, 1220, 1221, 1224, 1228, 1228, 1231, 1233, 1237, 1239, 1240, 1247, 1249, 
      1251, 1256, 1257, 1259, 1260, 1262, 1265, 1266, 1271, 1272, 1274, 1276, 1277, 1277, 1279, 1282, 
      1283, 1284, 1284, 1286, 1288, 1289, 1290, 1292, 1293, 1297, 1299, 1301, 1301, 1302, 1303, 1304, 
      1307, 1309, 1310, 1312, 1316, 1322, 1323, 1324, 1328, 1329, 1329, 1331, 1331, 1332, 1336, 1337, 
      1339, 1340, 1346, 1348, 1350, 1351, 1353, 1355, 1357, 1359, 1360, 1360, 1362, 1363, 1365, 1366, 
      1367, 1370, 1370, 1371, 1372, 1373, 1374, 1376, 1379, 1381, 1381, 1383, 1388, 1393, 1396, 1398, 
      1399, 1400, 1404, 1405, 1406, 1409, 1410, 1412, 1416, 1417, 1420, 1422, 1422, 1425, 1427, 1428, 
      1431, 1432, 1432, 1437, 1438, 1439, 1439, 1441, 1442, 1444, 1446, 1447, 1448, 1449, 1456, 1458, 
      1461, 1462, 1463, 1467, 1468, 1472, 1474, 1475, 1479, 1479, 1482, 1484, 1485, 1490, 1491, 1492, 
      1496, 1498, 1500, 1502, 1503, 1505, 1506, 1508, 1509, 1511, 1511, 1513, 1521, 1522, 1522, 1525, 
      1526, 1526, 1527, 1529, 1531, 1534, 1536, 1539, 1540, 1542, 1543, 1544, 1547, 1548, 1555, 1556, 
      1558, 1561, 1562, 1564, 1565, 1565, 1567, 1567, 1570, 1572, 1575, 1577, 1580, 1581, 1584, 1586, 
      1586, 1587, 1588, 1589, 1592, 1594, 1596, 1597, 1601, 1602, 1602, 1603, 1608, 1610, 1610, 1616, 
      1617, 1619, 1619, 1620, 1621, 1622, 1630, 1630, 1633, 1635, 1636, 1638, 1641, 1641, 1642, 1644, 
      1645, 1645, 1649, 1650, 1651, 1652, 1653, 1657, 1659, 1660, 1666, 1666, 1667, 1668, 1669, 1670, 
      1672, 1676, 1679, 1680, 1681, 1681, 1683, 1686, 1688, 1689, 1693, 1693, 1695, 1698, 1699, 1701, 
      1705, 1710, 1711, 1715, 1718, 1720, 1722, 1724, 1726, 1726, 1727, 1731, 1732, 1735, 1737, 1737, 
      1739, 1744, 1746, 1747, 1747, 1748, 1753, 1753, 1754, 1756, 1760, 1761, 1764, 1765, 1766, 1768, 
      1769, 1770, 1771, 1777, 1777, 1778, 1781, 1782, 1784, 1785, 1786, 1787, 1788, 1792, 1793, 1794, 
      1795, 1796, 1798, 1798, 1800, 1805, 1806, 1808, 1811, 1812, 1814, 1815, 1817, 1818, 1818, 1819, 
      1820, 1820, 1823, 1826, 1828, 1828, 1830, 1831, 1835, 1838, 1838, 1839, 1840, 1840, 1841, 1842, 
      1844, 1846, 1847, 1848, 1850, 1852, 1852, 1854, 1856, 1857, 1859, 1860, 1865, 1866, 1866, 1867, 
      1870, 1871, 1871, 1876, 1877, 1877, 1879, 1880, 1881, 1883, 1886, 1888, 1888, 1890, 1894, 1895, 
      1897, 1900, 1901, 1902, 1905, 1906, 1911, 1912, 1921, 1922, 1923, 1924, 1930, 1931, 1932, 1939, 
      1944, 1946, 1949, 1952, 1953, 1956, 1957, 1961, 1963, 1964, 1965, 1966, 1967, 1968, 1971, 1972, 
      1975, 1978, 1980, 1982, 1985, 1988, 1989, 1991, 1992, 1993, 1997, 1998, 1999, 2000, 2001, 2002, 
      2005, 2007, 2008, 2009, 2011, 2013, 2015, 2016, 2021, 2022, 2023, 2024 ] ]