[ [ 9, 37, 54, 69, 77, 105, 107, 114, 121, 122, 138, 142, 168, 171, 178, 191, 207, 233, 237, 333, 344, 
      360, 367, 376, 379, 409, 413, 417, 428, 430, 436, 438, 444, 473, 484, 501, 534, 537, 569, 592, 
      603, 620, 671, 673, 677, 708, 718, 740, 754, 755, 767, 772, 788, 796, 819, 824, 845, 846, 883, 
      887, 897, 914, 956, 966, 984, 998, 1019, 1020, 1030, 1033, 1039, 1041, 1053, 1076, 1083, 1086, 
      1110, 1126, 1132, 1159, 1170, 1182, 1205, 1224, 1236, 1267, 1281, 1292, 1307, 1313, 1329, 1330, 
      1348, 1351, 1380, 1400, 1437, 1488, 1490, 1506, 1507, 1519, 1533, 1537, 1544, 1563, 1573, 1574, 
      1588, 1602, 1604, 1613, 1615, 1618, 1621, 1626, 1627, 1632, 1676, 1696, 1701, 1715, 1727, 1773, 
      1799, 1804, 1810, 1826, 1828, 1833, 1852, 1861, 1866, 1877, 1880, 1890, 1915, 1951, 1972, 1977, 
      1986, 1991, 1996 ], [ 1, 4, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 13, 15, 16, 17, 18, 19, 19, 22, 22, 23, 
      24, 24, 24, 24, 27, 27, 27, 27, 28, 31, 31, 31, 31, 32, 32, 34, 34, 36, 36, 37, 39, 39, 40, 41, 
      42, 43, 43, 43, 43, 45, 45, 47, 48, 48, 50, 51, 52, 53, 53, 55, 56, 58, 58, 60, 61, 63, 64, 66, 
      66, 68, 68, 68, 68, 70, 71, 73, 77, 77, 77, 77, 78, 80, 81, 82, 83, 84, 86, 86, 87, 88, 89, 92, 
      92, 94, 95, 97, 97, 99, 99, 100, 101, 101, 102, 102, 106, 106, 107, 109, 109, 110, 111, 111, 112, 
      113, 113, 114, 115, 115, 115, 115, 116, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 
      131, 132, 133, 133, 135, 137, 138, 139, 140, 141, 142, 143, 144, 145, 148, 148, 148, 148, 150, 
      152, 153, 154, 155, 155, 156, 157, 157, 158, 159, 159, 160, 161, 163, 163, 163, 163, 164, 165, 
      165, 168, 169, 171, 173, 173, 175, 176, 177, 178, 179, 180, 181, 182, 185, 185, 187, 187, 191, 
      192, 193, 194, 195, 196, 199, 199, 200, 201, 201, 201, 201, 202, 203, 204, 205, 206, 206, 206, 
      206, 207, 209, 212, 214, 215, 215, 217, 218, 221, 221, 222, 223, 225, 225, 225, 225, 226, 227, 
      230, 231, 232, 232, 232, 232, 233, 235, 236, 236, 238, 238, 238, 238, 239, 241, 241, 244, 244, 
      244, 244, 246, 247, 247, 248, 249, 250, 250, 252, 252, 254, 255, 256, 257, 259, 261, 262, 265, 
      266, 267, 268, 268, 272, 273, 276, 276, 277, 278, 280, 282, 285, 287, 288, 288, 293, 293, 293, 
      293, 296, 296, 296, 296, 298, 299, 300, 300, 301, 301, 302, 303, 304, 305, 305, 305, 305, 306, 
      307, 307, 307, 307, 308, 308, 310, 311, 312, 314, 314, 318, 320, 321, 321, 323, 323, 323, 323, 
      325, 326, 327, 329, 329, 331, 332, 335, 335, 335, 335, 338, 338, 339, 339, 340, 341, 342, 343, 
      345, 345, 346, 347, 347, 348, 348, 349, 350, 351, 352, 353, 353, 353, 353, 355, 355, 356, 357, 
      358, 358, 359, 360, 361, 361, 363, 364, 366, 368, 368, 369, 372, 373, 376, 376, 377, 378, 378, 
      379, 380, 381, 382, 382, 384, 387, 389, 389, 393, 393, 393, 393, 394, 394, 395, 396, 396, 398, 
      398, 398, 398, 400, 400, 401, 404, 405, 407, 409, 409, 411, 412, 413, 415, 415, 416, 416, 417, 
      418, 418, 420, 420, 421, 421, 423, 423, 424, 425, 426, 426, 427, 427, 428, 428, 429, 430, 430, 
      435, 435, 441, 442, 444, 444, 444, 444, 447, 448, 449, 449, 449, 449, 450, 451, 452, 453, 455, 
      455, 456, 457, 457, 458, 458, 460, 462, 464, 464, 465, 466, 466, 467, 467, 468, 468, 469, 470, 
      472, 473, 474, 475, 476, 476, 477, 477, 479, 479, 480, 481, 482, 482, 484, 484, 485, 486, 487, 
      488, 488, 490, 490, 492, 492, 494, 494, 494, 494, 495, 496, 497, 498, 499, 499, 499, 499, 500, 
      502, 502, 504, 504, 507, 507, 509, 510, 510, 511, 512, 512, 514, 515, 515, 515, 515, 518, 520, 
      522, 522, 524, 524, 526, 527, 527, 529, 530, 530, 530, 530, 531, 531, 532, 533, 535, 535, 536, 
      537, 538, 539, 539, 541, 543, 544, 545, 546, 547, 548, 550, 551, 552, 552, 553, 554, 557, 558, 
      559, 559, 559, 559, 561, 561, 562, 562, 563, 564, 564, 565, 566, 566, 568, 568, 570, 570, 570, 
      570, 572, 572, 574, 574, 575, 576, 576, 578, 578, 580, 582, 583, 584, 585, 586, 587, 588, 590, 
      598, 603, 603, 605, 606, 607, 607, 608, 609, 609, 610, 610, 612, 612, 613, 614, 616, 617, 618, 
      619, 619, 621, 622, 623, 624, 625, 626, 626, 627, 628, 628, 629, 629, 630, 632, 634, 634, 634, 
      634, 637, 637, 637, 637, 647, 647, 651, 652, 652, 653, 654, 655, 656, 662, 663, 663, 663, 663, 
      664, 664, 666, 666, 667, 668, 668, 668, 668, 673, 673, 676, 676, 678, 680, 681, 683, 686, 686, 
      686, 686, 687, 688, 691, 693, 693, 695, 698, 698, 698, 698, 701, 701, 701, 701, 703, 704, 704, 
      705, 705, 706, 707, 709, 710, 711, 713, 715, 715, 716, 720, 721, 721, 721, 721, 724, 724, 725, 
      725, 725, 725, 730, 730, 730, 730, 731, 731, 731, 731, 733, 735, 735, 735, 735, 737, 738, 739, 
      740, 741, 742, 742, 743, 744, 746, 748, 749, 750, 751, 751, 753, 754, 754, 756, 756, 758, 758, 
      759, 760, 762, 764, 764, 764, 764, 765, 766, 766, 770, 771, 773, 775, 776, 776, 776, 776, 777, 
      778, 779, 779, 780, 781, 781, 782, 782, 784, 784, 785, 786, 787, 788, 791, 791, 792, 792, 794, 
      794, 801, 802, 802, 803, 804, 805, 805, 805, 805, 806, 806, 808, 809, 809, 810, 811, 811, 811, 
      811, 813, 813, 815, 816, 816, 817, 818, 819, 819, 821, 821, 822, 824, 824, 824, 824, 826, 827, 
      827, 827, 827, 829, 829, 831, 831, 833, 833, 835, 835, 835, 835, 837, 838, 840, 840, 842, 843, 
      845, 849, 850, 851, 852, 852, 853, 854, 854, 855, 856, 857, 857, 858, 858, 859, 859, 860, 862, 
      863, 864, 865, 865, 867, 867, 868, 870, 871, 871, 872, 876, 876, 879, 879, 881, 882, 883, 883, 
      884, 886, 886, 887, 888, 888, 889, 893, 894, 895, 895, 896, 896, 897, 897, 898, 900, 900, 902, 
      902, 903, 905, 906, 906, 907, 908, 909, 910, 910, 910, 910, 911, 911, 912, 913, 913, 919, 921, 
      922, 922, 924, 924, 924, 924, 925, 926, 927, 927, 927, 927, 929, 930, 931, 932, 933, 936, 936, 
      937, 937, 938, 939, 940, 940, 941, 941, 942, 942, 943, 943, 944, 944, 944, 944, 945, 945, 945, 
      945, 947, 947, 949, 951, 953, 954, 954, 957, 958, 959, 959, 959, 959, 960, 960, 961, 962, 962, 
      963, 963, 964, 965, 966, 966, 967, 969, 969, 971, 972, 973, 973, 974, 974, 975, 975, 976, 976, 
      977, 979, 979, 979, 979, 981, 982, 983, 983, 983, 983, 984, 984, 986, 986, 987, 987, 988, 988, 
      988, 988, 989, 989, 990, 992, 993, 993, 994, 994, 994, 994, 995, 995, 995, 995, 996, 998, 1000, 
      1001, 1002, 1002, 1003, 1005, 1008, 1010, 1010, 1013, 1015, 1015, 1016, 1018, 1019, 1019, 1020, 
      1020, 1021, 1023, 1023, 1024, 1024, 1025, 1027, 1028, 1029, 1029, 1030, 1030, 1033, 1034, 1034, 
      1036, 1036, 1038, 1041, 1044, 1044, 1047, 1047, 1049, 1049, 1049, 1049, 1051, 1052, 1052, 1053, 
      1053, 1054, 1057, 1060, 1060, 1061, 1063, 1064, 1066, 1066, 1066, 1066, 1067, 1068, 1069, 1069, 
      1072, 1073, 1075, 1075, 1076, 1077, 1078, 1078, 1080, 1081, 1083, 1084, 1087, 1088, 1088, 1090, 
      1092, 1093, 1093, 1093, 1093, 1095, 1095, 1095, 1095, 1097, 1098, 1098, 1099, 1101, 1102, 1102, 
      1103, 1105, 1106, 1108, 1108, 1109, 1110, 1110, 1111, 1111, 1113, 1113, 1119, 1119, 1120, 1122, 
      1124, 1124, 1126, 1127, 1128, 1130, 1132, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1139, 
      1141, 1141, 1141, 1141, 1142, 1142, 1142, 1142, 1143, 1144, 1144, 1144, 1144, 1145, 1145, 1147, 
      1149, 1150, 1151, 1151, 1152, 1152, 1152, 1152, 1153, 1153, 1155, 1156, 1157, 1158, 1158, 1167, 
      1168, 1169, 1169, 1170, 1171, 1171, 1172, 1172, 1173, 1173, 1173, 1173, 1175, 1175, 1177, 1177, 
      1180, 1181, 1185, 1186, 1186, 1188, 1188, 1188, 1188, 1190, 1192, 1193, 1194, 1196, 1197, 1197, 
      1198, 1199, 1199, 1199, 1199, 1200, 1201, 1202, 1202, 1204, 1204, 1204, 1204, 1206, 1207, 1208, 
      1209, 1210, 1213, 1213, 1214, 1217, 1217, 1217, 1217, 1219, 1219, 1220, 1221, 1222, 1223, 1224, 
      1225, 1226, 1226, 1226, 1226, 1227, 1231, 1231, 1233, 1234, 1235, 1235, 1236, 1237, 1237, 1238, 
      1238, 1238, 1238, 1239, 1241, 1244, 1246, 1248, 1248, 1251, 1251, 1251, 1251, 1252, 1252, 1254, 
      1254, 1255, 1257, 1259, 1259, 1259, 1259, 1260, 1260, 1260, 1260, 1262, 1263, 1263, 1265, 1267, 
      1267, 1268, 1269, 1269, 1270, 1270, 1272, 1274, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1285, 
      1286, 1287, 1288, 1289, 1291, 1294, 1295, 1297, 1297, 1299, 1300, 1300, 1301, 1301, 1302, 1303, 
      1304, 1304, 1304, 1304, 1305, 1305, 1308, 1309, 1309, 1310, 1311, 1312, 1312, 1312, 1312, 1313, 
      1313, 1314, 1314, 1315, 1315, 1317, 1317, 1318, 1318, 1319, 1319, 1319, 1319, 1321, 1322, 1323, 
      1326, 1328, 1328, 1330, 1334, 1336, 1340, 1340, 1341, 1343, 1343, 1344, 1344, 1344, 1344, 1345, 
      1345, 1347, 1349, 1349, 1349, 1349, 1350, 1350, 1350, 1350, 1351, 1352, 1353, 1354, 1354, 1354, 
      1354, 1355, 1355, 1356, 1357, 1357, 1358, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1370, 
      1372, 1373, 1374, 1375, 1376, 1377, 1377, 1379, 1380, 1380, 1382, 1384, 1384, 1387, 1388, 1391, 
      1394, 1396, 1400, 1400, 1400, 1400, 1403, 1406, 1408, 1409, 1411, 1412, 1413, 1414, 1420, 1421, 
      1421, 1422, 1423, 1424, 1425, 1426, 1426, 1427, 1427, 1428, 1429, 1430, 1430, 1431, 1432, 1432, 
      1432, 1432, 1433, 1434, 1435, 1436, 1438, 1439, 1439, 1439, 1439, 1440, 1440, 1440, 1440, 1442, 
      1442, 1444, 1444, 1445, 1445, 1447, 1448, 1449, 1452, 1455, 1456, 1457, 1459, 1460, 1462, 1462, 
      1462, 1462, 1465, 1466, 1469, 1470, 1472, 1473, 1473, 1477, 1478, 1479, 1480, 1480, 1481, 1483, 
      1483, 1483, 1483, 1487, 1488, 1488, 1488, 1488, 1489, 1489, 1491, 1491, 1491, 1491, 1493, 1493, 
      1494, 1495, 1495, 1496, 1497, 1497, 1498, 1499, 1501, 1504, 1504, 1508, 1510, 1511, 1514, 1517, 
      1517, 1518, 1521, 1521, 1522, 1523, 1524, 1524, 1525, 1525, 1525, 1525, 1526, 1527, 1529, 1529, 
      1530, 1530, 1532, 1532, 1533, 1533, 1533, 1533, 1534, 1535, 1536, 1536, 1538, 1540, 1541, 1542, 
      1543, 1543, 1544, 1545, 1545, 1547, 1547, 1549, 1549, 1553, 1555, 1556, 1556, 1560, 1561, 1561, 
      1561, 1561, 1562, 1563, 1564, 1564, 1564, 1564, 1565, 1566, 1567, 1569, 1570, 1572, 1576, 1577, 
      1577, 1579, 1583, 1584, 1584, 1584, 1584, 1585, 1585, 1586, 1588, 1588, 1589, 1589, 1589, 1589, 
      1591, 1591, 1592, 1592, 1593, 1595, 1596, 1597, 1600, 1601, 1602, 1603, 1603, 1605, 1606, 1606, 
      1609, 1610, 1611, 1612, 1612, 1613, 1614, 1614, 1616, 1618, 1618, 1618, 1618, 1619, 1620, 1621, 
      1622, 1622, 1623, 1626, 1627, 1627, 1627, 1627, 1628, 1628, 1628, 1628, 1630, 1630, 1632, 1637, 
      1638, 1638, 1638, 1638, 1639, 1640, 1641, 1643, 1643, 1643, 1643, 1647, 1650, 1651, 1653, 1653, 
      1653, 1653, 1654, 1654, 1655, 1655, 1658, 1659, 1659, 1659, 1659, 1661, 1661, 1661, 1661, 1662, 
      1663, 1664, 1665, 1665, 1666, 1666, 1667, 1668, 1668, 1669, 1670, 1671, 1672, 1674, 1675, 1676, 
      1677, 1679, 1681, 1682, 1682, 1683, 1683, 1684, 1684, 1687, 1689, 1690, 1691, 1691, 1692, 1693, 
      1693, 1694, 1694, 1695, 1695, 1696, 1696, 1698, 1698, 1699, 1699, 1700, 1701, 1702, 1702, 1702, 
      1702, 1703, 1705, 1706, 1707, 1709, 1711, 1712, 1712, 1713, 1713, 1714, 1714, 1715, 1716, 1719, 
      1722, 1725, 1726, 1731, 1735, 1735, 1737, 1737, 1739, 1739, 1742, 1742, 1743, 1745, 1745, 1746, 
      1748, 1750, 1751, 1753, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1761, 1762, 1763, 1764, 1765, 
      1766, 1766, 1767, 1767, 1768, 1770, 1771, 1772, 1773, 1773, 1775, 1776, 1776, 1777, 1779, 1779, 
      1780, 1782, 1782, 1783, 1783, 1783, 1783, 1784, 1787, 1788, 1788, 1789, 1789, 1789, 1789, 1791, 
      1792, 1793, 1795, 1796, 1799, 1799, 1802, 1803, 1807, 1807, 1808, 1813, 1814, 1816, 1822, 1822, 
      1827, 1830, 1833, 1833, 1833, 1833, 1834, 1836, 1837, 1838, 1840, 1841, 1842, 1842, 1844, 1847, 
      1847, 1849, 1850, 1853, 1854, 1858, 1859, 1861, 1862, 1863, 1864, 1866, 1866, 1868, 1868, 1869, 
      1870, 1872, 1874, 1875, 1876, 1878, 1879, 1879, 1880, 1882, 1883, 1884, 1885, 1886, 1887, 1887, 
      1888, 1890, 1891, 1893, 1893, 1895, 1895, 1896, 1898, 1900, 1900, 1900, 1900, 1904, 1904, 1904, 
      1904, 1905, 1907, 1908, 1910, 1911, 1912, 1912, 1913, 1913, 1913, 1913, 1915, 1917, 1918, 1922, 
      1923, 1924, 1925, 1926, 1929, 1929, 1930, 1931, 1931, 1931, 1931, 1935, 1935, 1936, 1937, 1939, 
      1940, 1941, 1944, 1945, 1946, 1946, 1947, 1950, 1959, 1959, 1959, 1959, 1960, 1962, 1964, 1964, 
      1965, 1966, 1968, 1970, 1974, 1975, 1977, 1978, 1979, 1981, 1981, 1983, 1983, 1984, 1985, 1986, 
      1987, 1990, 1990, 1992, 1992, 1992, 1992, 1993, 1996, 1998, 1999, 2002 ] ]