[ [ 1863, 1926, 1927, 1929, 1931, 1933, 1935, 1937, 1939, 1941, 1943, 1945, 1947, 1949, 1951, 1953, 
      1955, 1957, 1959, 1961, 1963, 1965, 1967, 1969, 1971, 1973, 1975, 1977, 1979, 1981, 1983, 1985, 
      1990, 1992, 1994, 1996, 1998, 2000, 2002, 2004, 2006, 2008, 2010, 2012, 2014, 2016, 2018, 2020, 
      2022, 2024, 2026, 2028, 2030, 2032, 2034, 2036, 2038, 2040, 2042, 2044, 2046, 2048, 2050, 2113, 
      2114, 2243, 2244, 2377, 2378, 2514, 2515 ], 
  [ 5, 7, 8, 9, 12, 18, 19, 25, 26, 31, 32, 40, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 
      45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 47, 53, 57, 58, 64, 65, 66, 66, 66, 66, 66, 66, 
      66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 68, 69, 71, 73, 
      79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 82, 86, 87, 91, 92, 99, 100, 102, 106, 107, 
      108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 
      108, 108, 108, 108, 108, 108, 108, 111, 113, 118, 119, 122, 124, 126, 127, 128, 128, 128, 128, 
      128, 128, 128, 128, 128, 128, 128, 128, 130, 135, 136, 145, 146, 150, 150, 150, 150, 150, 150, 
      150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 
      150, 151, 152, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 
      154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 159, 160, 169, 170, 179, 180, 185, 185, 185, 
      185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 
      185, 185, 185, 185, 187, 188, 195, 196, 207, 208, 217, 218, 227, 228, 235, 236, 247, 247, 247, 
      247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 
      247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 
      247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 
      247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 247, 250, 260, 271, 279, 289, 289, 289, 289, 
      289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 
      289, 289, 289, 291, 295, 296, 305, 306, 316, 317, 320, 321, 323, 325, 328, 329, 331, 333, 335, 
      337, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 338, 
      338, 338, 338, 338, 338, 338, 338, 338, 339, 345, 348, 352, 354, 355, 358, 360, 362, 366, 371, 
      372, 379, 380, 393, 394, 399, 400, 409, 410, 427, 428, 435, 436, 449, 450, 452, 452, 452, 452, 
      452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 452, 
      452, 452, 452, 453, 457, 458, 467, 468, 484, 485, 488, 489, 490, 490, 490, 490, 490, 490, 490, 
      490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 490, 
      491, 493, 496, 497, 499, 501, 503, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 
      504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 504, 505, 507, 510, 511, 513, 
      515, 519, 522, 526, 528, 529, 532, 534, 536, 540, 541, 541, 541, 541, 541, 541, 541, 541, 541, 
      541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 541, 542, 544, 
      546, 548, 549, 552, 553, 555, 557, 560, 561, 563, 565, 567, 569, 571, 573, 573, 573, 573, 573, 
      573, 573, 573, 573, 573, 573, 573, 574, 575, 577, 580, 581, 585, 588, 592, 594, 595, 598, 600, 
      602, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 605, 
      605, 605, 605, 605, 605, 605, 605, 605, 606, 608, 610, 612, 614, 615, 616, 617, 620, 621, 623, 
      625, 628, 629, 631, 633, 635, 637, 639, 642, 643, 645, 648, 650, 652, 656, 656, 656, 656, 656, 
      656, 656, 656, 656, 656, 656, 656, 657, 658, 661, 662, 663, 664, 667, 668, 669, 670, 671, 672, 
      675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 690, 691, 694, 696, 698, 699, 
      701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 701, 
      701, 701, 701, 701, 701, 701, 701, 702, 704, 706, 708, 710, 712, 713, 716, 718, 719, 721, 723, 
      724, 724, 724, 724, 724, 724, 724, 724, 724, 724, 724, 724, 726, 730, 731, 735, 737, 740, 741, 
      743, 745, 749, 751, 753, 755, 757, 759, 762, 766, 767, 768, 768, 768, 768, 768, 768, 768, 768, 
      768, 768, 768, 768, 770, 772, 774, 775, 778, 780, 782, 784, 786, 788, 789, 790, 790, 790, 790, 
      790, 790, 790, 790, 790, 790, 790, 790, 792, 794, 795, 797, 799, 802, 804, 804, 804, 804, 804, 
      804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 804, 
      804, 804, 807, 808, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 
      816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 816, 817, 818, 839, 840, 841, 842, 848, 856, 
      870, 876, 878, 880, 931, 939, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 
      945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 945, 953, 959, 961, 963, 970, 970, 
      970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 
      970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 
      970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 
      970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 970, 971, 975, 976, 985, 986, 1007, 1008, 
      1009, 1010, 1015, 1016, 1017, 1020, 1021, 1023, 1025, 1028, 1029, 1031, 1033, 1035, 1037, 1039, 
      1042, 1043, 1045, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1047, 1048, 
      1050, 1052, 1053, 1055, 1059, 1062, 1067, 1068, 1071, 1072, 1073, 1074, 1077, 1078, 1079, 1080, 
      1081, 1082, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1101, 1102, 
      1105, 1106, 1107, 1110, 1111, 1114, 1116, 1118, 1119, 1122, 1124, 1125, 1125, 1125, 1125, 1125, 
      1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 1125, 
      1125, 1125, 1125, 1125, 1125, 1126, 1128, 1130, 1132, 1133, 1136, 1138, 1139, 1140, 1140, 1140, 
      1140, 1140, 1140, 1140, 1140, 1140, 1140, 1140, 1140, 1141, 1143, 1146, 1148, 1152, 1153, 1155, 
      1156, 1160, 1161, 1165, 1167, 1170, 1171, 1173, 1175, 1179, 1181, 1183, 1185, 1187, 1189, 1190, 
      1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 
      1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1192, 1194, 1195, 1199, 1202, 1203, 1204, 
      1205, 1206, 1208, 1208, 1208, 1208, 1208, 1208, 1208, 1208, 1208, 1208, 1208, 1208, 1209, 1210, 
      1211, 1212, 1213, 1214, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 
      1231, 1232, 1233, 1234, 1241, 1242, 1243, 1244, 1247, 1248, 1251, 1252, 1253, 1254, 1259, 1260, 
      1263, 1264, 1265, 1266, 1269, 1270, 1271, 1272, 1273, 1274, 1277, 1278, 1279, 1280, 1281, 1282, 
      1283, 1284, 1285, 1286, 1287, 1288, 1293, 1294, 1297, 1298, 1302, 1302, 1302, 1302, 1302, 1302, 
      1302, 1302, 1302, 1302, 1302, 1302, 1304, 1305, 1306, 1309, 1310, 1311, 1312, 1313, 1314, 1317, 
      1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1331, 1332, 1333, 1334, 1338, 
      1338, 1338, 1338, 1338, 1338, 1338, 1338, 1338, 1338, 1338, 1338, 1341, 1342, 1343, 1344, 1347, 
      1348, 1351, 1352, 1353, 1353, 1353, 1353, 1353, 1353, 1353, 1353, 1353, 1353, 1353, 1353, 1359, 
      1362, 1366, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 
      1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1367, 1368, 1369, 1372, 1374, 
      1376, 1380, 1382, 1384, 1386, 1388, 1390, 1391, 1393, 1396, 1400, 1401, 1402, 1402, 1402, 1402, 
      1402, 1402, 1402, 1402, 1402, 1402, 1402, 1402, 1403, 1405, 1411, 1412, 1416, 1416, 1416, 1416, 
      1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 1416, 
      1416, 1416, 1416, 1416, 1416, 1416, 1419, 1420, 1433, 1434, 1439, 1440, 1441, 1442, 1443, 1444, 
      1453, 1454, 1457, 1458, 1459, 1460, 1465, 1466, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 
      1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 
      1468, 1468, 1475, 1476, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 
      1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1497, 1498, 
      1499, 1500, 1507, 1508, 1509, 1510, 1511, 1512, 1519, 1520, 1527, 1528, 1532, 1532, 1532, 1532, 
      1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 1532, 
      1532, 1532, 1532, 1532, 1532, 1532, 1541, 1542, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 
      1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 
      1546, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1561, 1562, 1565, 1566, 1567, 1568, 1575, 1576, 
      1585, 1586, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 
      1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1598, 1600, 1600, 1600, 1600, 
      1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 
      1600, 1600, 1600, 1600, 1600, 1600, 1607, 1608, 1609, 1610, 1617, 1618, 1619, 1620, 1621, 1622, 
      1631, 1632, 1639, 1640, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 
      1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1644, 1651, 1651, 
      1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 
      1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1653, 1654, 1656, 1656, 1656, 1656, 1656, 1656, 
      1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 1656, 
      1656, 1656, 1656, 1656, 1659, 1660, 1661, 1662, 1663, 1664, 1667, 1667, 1667, 1667, 1667, 1667, 
      1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 1667, 
      1667, 1667, 1667, 1667, 1673, 1674, 1677, 1678, 1679, 1680, 1690, 1693, 1693, 1693, 1693, 1693, 
      1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 
      1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 
      1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 
      1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 1693, 
      1693, 1693, 1700, 1722, 1724, 1732, 1734, 1736, 1743, 1747, 1755, 1769, 1775, 1777, 1779, 1789, 
      1793, 1795, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 
      1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1803, 1804, 1808, 1809, 1813, 
      1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 
      1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1814, 1815, 1818, 1819, 1821, 1823, 1827, 
      1829, 1831, 1833, 1835, 1837, 1840, 1842, 1843, 1847, 1850, 1852, 1853, 1853, 1853, 1853, 1853, 
      1853, 1853, 1853, 1853, 1853, 1853, 1853, 1854, 1855, 1857, 1859, 1866, 1867, 1870, 1872, 1874, 
      1875, 1878, 1880, 1882, 1884, 1886, 1888, 1889, 1892, 1894, 1895, 1897, 1899, 1901, 1901, 1901, 
      1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 1901, 
      1901, 1901, 1901, 1901, 1901, 1901, 1901, 1902, 1904, 1908, 1909, 1912, 1913, 1915, 1918, 1920, 
      1922, 1924, 1929, 1930, 1939, 1940, 1961, 1962, 1963, 1964, 1971, 1972, 1973, 1974, 1975, 1976, 
      1985, 1986, 1987, 1991, 1992, 1999, 2000, 2013, 2014, 2019, 2020, 2021, 2022, 2023, 2024, 2032, 
      2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 
      2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2032, 2033, 2034, 2037, 2038, 2039, 2040, 2051, 
      2052, 2056, 2057, 2061, 2063, 2066, 2067, 2069, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 
      2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 2070, 
      2070, 2070, 2071, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 
      2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2072, 2075, 2077, 2079, 
      2081, 2083, 2085, 2087, 2087, 2087, 2087, 2087, 2087, 2087, 2087, 2087, 2087, 2087, 2087, 2088, 
      2090, 2091, 2095, 2098, 2100, 2102, 2103, 2105, 2107, 2111, 2111, 2111, 2111, 2111, 2111, 2111, 
      2111, 2111, 2111, 2111, 2111, 2112, 2113, 2116, 2117, 2118, 2121, 2122, 2123, 2124, 2125, 2126, 
      2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2143, 2144, 2145, 2146, 
      2153, 2154, 2155, 2156, 2159, 2160, 2161, 2161, 2161, 2161, 2161, 2161, 2161, 2161, 2161, 2161, 
      2161, 2161, 2163, 2164, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 
      2185, 2188, 2192, 2194, 2195, 2196, 2196, 2196, 2196, 2196, 2196, 2196, 2196, 2196, 2196, 2196, 
      2196, 2198, 2200, 2202, 2206, 2208, 2210, 2212, 2214, 2216, 2217, 2219, 2222, 2226, 2227, 2229, 
      2231, 2234, 2236, 2238, 2241, 2244, 2245, 2251, 2252, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 
      2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 2256, 
      2256, 2256, 2256, 2259, 2260, 2273, 2274, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 
      2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 2278, 
      2278, 2279, 2280, 2281, 2282, 2283, 2284, 2293, 2294, 2297, 2298, 2299, 2300, 2313, 2314, 2319, 
      2320, 2329, 2330, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 
      2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2334, 2335, 2335, 2335, 
      2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 2335, 
      2335, 2335, 2335, 2335, 2335, 2335, 2335, 2351, 2352, 2353, 2354, 2360, 2360, 2360, 2360, 2360, 
      2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 2360, 
      2360, 2360, 2360, 2360, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2375, 2376, 2377, 2377, 2377, 
      2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 2377, 
      2377, 2377, 2377, 2377, 2377, 2377, 2377, 2379, 2380, 2387, 2388, 2393, 2393, 2393, 2393, 2393, 
      2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 2393, 
      2393, 2393, 2393, 2393, 2393, 2395, 2396, 2409, 2410, 2415, 2416, 2417, 2418, 2419, 2420, 2429, 
      2430, 2433, 2434, 2435, 2436, 2449, 2450, 2456, 2457, 2466, 2467, 2488, 2489, 2490, 2491, 2492, 
      2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 
      2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2492, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 
      2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 2497, 
      2497, 2497, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2512, 2513, 2516, 2517, 2523, 2527, 2534, 
      2537, 2538, 2539, 2544, 2546, 2547, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 
      2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 
      2554 ] ]