[ [ 89, 90, 94, 212, 275, 472, 534, 609, 842, 1046, 1196, 1243, 1282, 1379, 1502, 1681, 1714, 1816, 
      1901 ], [ 2, 2, 4, 5, 5, 8, 9, 10, 10, 11, 11, 12, 12, 14, 14, 15, 19, 20, 21, 22, 23, 23, 23, 
      24, 24, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 34, 34, 35, 35, 36, 38, 40, 41, 42, 44, 44, 46, 
      46, 47, 48, 49, 50, 51, 51, 53, 53, 55, 56, 57, 57, 58, 58, 60, 60, 63, 64, 64, 65, 66, 66, 68, 
      68, 69, 70, 72, 75, 75, 76, 77, 77, 78, 79, 80, 81, 82, 85, 85, 86, 88, 89, 89, 92, 96, 96, 98, 
      99, 100, 101, 101, 102, 102, 106, 106, 108, 108, 109, 109, 111, 112, 113, 113, 114, 115, 115, 
      119, 120, 121, 123, 123, 124, 124, 126, 128, 129, 129, 130, 132, 132, 133, 134, 134, 136, 136, 
      137, 138, 138, 141, 142, 143, 144, 145, 146, 147, 148, 150, 151, 152, 152, 153, 154, 154, 157, 
      157, 157, 158, 159, 160, 161, 162, 164, 165, 165, 166, 167, 167, 170, 173, 175, 177, 177, 178, 
      178, 180, 180, 181, 182, 182, 184, 185, 186, 188, 188, 189, 192, 193, 195, 196, 196, 197, 198, 
      198, 199, 199, 200, 201, 201, 204, 204, 205, 205, 206, 208, 209, 211, 211, 212, 212, 213, 215, 
      216, 217, 218, 219, 221, 222, 223, 223, 225, 227, 229, 231, 233, 233, 234, 235, 236, 237, 237, 
      240, 240, 241, 241, 243, 244, 244, 245, 245, 247, 247, 249, 250, 251, 251, 252, 252, 254, 254, 
      255, 256, 257, 258, 259, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 271, 
      272, 272, 273, 274, 274, 276, 277, 278, 278, 279, 280, 281, 281, 282, 283, 283, 285, 285, 285, 
      287, 288, 288, 289, 290, 291, 291, 292, 294, 294, 295, 296, 297, 298, 299, 300, 300, 301, 302, 
      303, 303, 306, 307, 307, 309, 309, 311, 312, 312, 315, 316, 318, 318, 319, 320, 320, 321, 321, 
      323, 323, 325, 326, 327, 327, 329, 329, 330, 331, 332, 334, 334, 337, 338, 339, 341, 341, 343, 
      343, 344, 347, 349, 349, 351, 352, 353, 353, 354, 355, 356, 358, 359, 360, 360, 361, 362, 363, 
      364, 365, 366, 367, 368, 369, 370, 372, 372, 373, 374, 374, 375, 377, 377, 378, 379, 380, 382, 
      384, 385, 387, 388, 388, 389, 390, 390, 392, 392, 393, 394, 394, 401, 401, 402, 403, 404, 405, 
      405, 406, 407, 409, 410, 410, 412, 412, 413, 413, 414, 416, 417, 418, 418, 419, 419, 420, 421, 
      422, 423, 423, 425, 425, 425, 426, 428, 428, 429, 430, 430, 432, 432, 433, 433, 435, 436, 436, 
      439, 439, 441, 442, 442, 444, 445, 446, 447, 449, 450, 450, 451, 451, 453, 454, 455, 456, 456, 
      457, 458, 458, 459, 460, 461, 462, 462, 463, 464, 466, 466, 468, 468, 469, 471, 472, 473, 473, 
      474, 475, 476, 477, 477, 479, 479, 480, 480, 482, 483, 484, 484, 485, 486, 488, 488, 489, 491, 
      493, 493, 494, 495, 495, 496, 497, 498, 501, 502, 504, 505, 505, 508, 509, 510, 511, 513, 514, 
      515, 515, 516, 516, 518, 520, 521, 523, 524, 524, 525, 528, 529, 530, 531, 532, 532, 534, 536, 
      536, 538, 538, 540, 540, 541, 542, 542, 543, 543, 544, 545, 548, 548, 550, 551, 552, 553, 554, 
      556, 557, 557, 558, 559, 560, 561, 562, 563, 563, 564, 565, 566, 566, 567, 567, 568, 569, 570, 
      571, 572, 572, 573, 573, 574, 574, 575, 575, 576, 578, 579, 581, 582, 583, 585, 586, 588, 590, 
      591, 591, 592, 592, 593, 593, 594, 596, 598, 598, 599, 599, 600, 600, 601, 602, 605, 605, 607, 
      608, 609, 609, 610, 611, 612, 615, 616, 616, 617, 617, 618, 620, 622, 622, 623, 627, 627, 628, 
      629, 630, 630, 631, 632, 633, 634, 635, 636, 636, 637, 638, 640, 640, 641, 642, 643, 645, 645, 
      646, 647, 648, 649, 649, 650, 652, 653, 654, 655, 656, 656, 658, 659, 661, 662, 663, 663, 664, 
      665, 666, 666, 668, 669, 669, 670, 671, 672, 673, 675, 676, 677, 678, 680, 681, 681, 682, 683, 
      684, 684, 685, 686, 687, 688, 689, 691, 692, 694, 694, 695, 696, 696, 698, 700, 700, 701, 702, 
      703, 704, 706, 707, 708, 710, 711, 712, 713, 714, 716, 716, 717, 717, 720, 722, 725, 726, 727, 
      727, 728, 729, 729, 730, 732, 734, 736, 737, 737, 738, 739, 739, 742, 743, 743, 744, 744, 745, 
      746, 747, 748, 749, 750, 751, 754, 754, 755, 755, 757, 760, 761, 762, 763, 765, 766, 766, 767, 
      768, 769, 770, 771, 771, 772, 772, 773, 774, 775, 776, 776, 777, 777, 780, 780, 783, 783, 784, 
      784, 785, 785, 786, 786, 787, 788, 789, 789, 791, 791, 792, 793, 794, 794, 794, 795, 796, 798, 
      799, 800, 801, 802, 803, 803, 804, 804, 805, 807, 809, 809, 811, 811, 812, 814, 814, 816, 817, 
      819, 820, 821, 821, 822, 823, 824, 826, 827, 828, 828, 830, 830, 831, 831, 832, 833, 833, 834, 
      835, 835, 837, 838, 839, 840, 843, 844, 845, 847, 849, 849, 850, 851, 853, 854, 855, 856, 857, 
      857, 858, 859, 860, 862, 863, 864, 865, 867, 869, 870, 871, 872, 873, 873, 873, 874, 875, 876, 
      877, 879, 880, 881, 882, 884, 885, 886, 886, 888, 889, 890, 891, 892, 892, 894, 895, 895, 897, 
      899, 899, 900, 902, 903, 904, 904, 905, 906, 907, 908, 910, 911, 912, 912, 913, 914, 918, 919, 
      919, 921, 921, 922, 923, 924, 924, 925, 926, 927, 928, 930, 930, 932, 933, 933, 934, 935, 935, 
      936, 936, 937, 938, 939, 940, 940, 940, 941, 941, 942, 942, 943, 944, 945, 945, 946, 948, 951, 
      951, 952, 954, 955, 955, 956, 956, 957, 959, 960, 961, 961, 962, 963, 964, 965, 965, 966, 966, 
      967, 968, 968, 969, 970, 971, 971, 973, 973, 974, 974, 975, 976, 977, 977, 979, 980, 982, 983, 
      983, 984, 984, 985, 986, 986, 988, 989, 989, 989, 992, 993, 995, 996, 997, 998, 998, 999, 1000, 
      1000, 1001, 1002, 1004, 1004, 1005, 1005, 1006, 1006, 1007, 1008, 1009, 1013, 1013, 1014, 1016, 
      1016, 1017, 1018, 1020, 1021, 1021, 1022, 1024, 1025, 1025, 1026, 1027, 1028, 1029, 1029, 1030, 
      1030, 1031, 1032, 1033, 1034, 1035, 1036, 1036, 1037, 1037, 1038, 1039, 1039, 1040, 1041, 1043, 
      1045, 1046, 1046, 1047, 1048, 1049, 1050, 1050, 1052, 1053, 1054, 1055, 1055, 1056, 1057, 1058, 
      1058, 1060, 1060, 1063, 1064, 1065, 1065, 1066, 1067, 1068, 1070, 1071, 1072, 1072, 1073, 1073, 
      1074, 1075, 1075, 1076, 1076, 1077, 1078, 1080, 1080, 1081, 1082, 1082, 1083, 1084, 1084, 1085, 
      1086, 1088, 1092, 1093, 1093, 1094, 1094, 1095, 1096, 1097, 1099, 1100, 1102, 1103, 1104, 1105, 
      1107, 1108, 1109, 1110, 1113, 1114, 1115, 1116, 1116, 1117, 1118, 1120, 1121, 1121, 1123, 1124, 
      1124, 1125, 1126, 1127, 1128, 1128, 1130, 1130, 1131, 1131, 1132, 1133, 1134, 1134, 1135, 1138, 
      1139, 1139, 1142, 1142, 1143, 1146, 1146, 1147, 1149, 1150, 1151, 1151, 1153, 1153, 1154, 1154, 
      1155, 1156, 1157, 1157, 1159, 1160, 1160, 1161, 1161, 1162, 1163, 1163, 1165, 1166, 1166, 1167, 
      1168, 1168, 1169, 1173, 1173, 1175, 1176, 1177, 1177, 1179, 1181, 1182, 1183, 1185, 1186, 1187, 
      1188, 1188, 1189, 1190, 1191, 1192, 1194, 1195, 1195, 1197, 1198, 1199, 1200, 1200, 1201, 1201, 
      1202, 1203, 1204, 1205, 1206, 1206, 1208, 1209, 1211, 1212, 1212, 1213, 1213, 1215, 1215, 1217, 
      1217, 1218, 1219, 1220, 1221, 1221, 1222, 1224, 1224, 1225, 1226, 1226, 1227, 1228, 1228, 1229, 
      1230, 1232, 1233, 1233, 1235, 1236, 1237, 1237, 1238, 1239, 1240, 1240, 1241, 1241, 1242, 1243, 
      1244, 1244, 1247, 1248, 1248, 1249, 1250, 1251, 1251, 1252, 1253, 1255, 1256, 1257, 1258, 1258, 
      1259, 1261, 1262, 1263, 1263, 1264, 1264, 1267, 1268, 1269, 1269, 1270, 1270, 1271, 1271, 1272, 
      1272, 1273, 1273, 1274, 1274, 1276, 1278, 1279, 1280, 1281, 1282, 1283, 1286, 1287, 1288, 1288, 
      1290, 1291, 1293, 1294, 1297, 1298, 1299, 1300, 1302, 1303, 1305, 1307, 1308, 1312, 1313, 1314, 
      1315, 1317, 1317, 1319, 1320, 1321, 1322, 1323, 1325, 1325, 1326, 1326, 1328, 1329, 1329, 1330, 
      1331, 1331, 1332, 1333, 1333, 1334, 1334, 1335, 1336, 1337, 1338, 1339, 1339, 1341, 1341, 1342, 
      1343, 1343, 1345, 1347, 1348, 1349, 1349, 1350, 1352, 1352, 1354, 1354, 1355, 1356, 1357, 1358, 
      1358, 1359, 1361, 1362, 1363, 1364, 1364, 1365, 1366, 1368, 1369, 1369, 1370, 1372, 1372, 1373, 
      1374, 1374, 1375, 1376, 1376, 1377, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1386, 1387, 
      1388, 1393, 1394, 1395, 1396, 1397, 1399, 1400, 1401, 1401, 1402, 1403, 1404, 1406, 1407, 1408, 
      1409, 1409, 1410, 1411, 1412, 1413, 1415, 1415, 1419, 1419, 1420, 1421, 1423, 1423, 1423, 1425, 
      1426, 1427, 1429, 1429, 1430, 1430, 1431, 1431, 1432, 1435, 1436, 1438, 1439, 1439, 1441, 1441, 
      1442, 1443, 1443, 1444, 1446, 1446, 1449, 1450, 1451, 1452, 1453, 1454, 1454, 1455, 1456, 1457, 
      1457, 1458, 1459, 1459, 1460, 1461, 1461, 1463, 1464, 1465, 1466, 1467, 1467, 1468, 1469, 1470, 
      1471, 1472, 1472, 1473, 1474, 1476, 1477, 1478, 1479, 1479, 1480, 1480, 1482, 1483, 1485, 1486, 
      1487, 1488, 1488, 1489, 1490, 1491, 1491, 1493, 1494, 1494, 1495, 1496, 1498, 1499, 1501, 1502, 
      1504, 1506, 1508, 1508, 1509, 1510, 1511, 1512, 1514, 1515, 1516, 1517, 1519, 1520, 1521, 1522, 
      1522, 1524, 1524, 1525, 1527, 1529, 1531, 1531, 1533, 1534, 1535, 1537, 1537, 1538, 1540, 1541, 
      1541, 1542, 1543, 1544, 1545, 1546, 1547, 1547, 1548, 1549, 1549, 1550, 1552, 1552, 1554, 1555, 
      1555, 1556, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1565, 1567, 1567, 1568, 1569, 1570, 
      1571, 1572, 1572, 1573, 1574, 1574, 1575, 1575, 1578, 1579, 1580, 1581, 1581, 1582, 1583, 1584, 
      1585, 1587, 1588, 1589, 1589, 1589, 1590, 1593, 1595, 1596, 1597, 1597, 1598, 1598, 1600, 1600, 
      1602, 1603, 1605, 1606, 1608, 1609, 1609, 1610, 1610, 1611, 1612, 1612, 1613, 1615, 1615, 1617, 
      1618, 1619, 1623, 1623, 1624, 1624, 1625, 1626, 1628, 1630, 1633, 1634, 1634, 1636, 1637, 1637, 
      1637, 1639, 1640, 1640, 1641, 1642, 1644, 1644, 1644, 1645, 1648, 1650, 1651, 1651, 1653, 1654, 
      1655, 1656, 1656, 1657, 1657, 1659, 1662, 1663, 1664, 1665, 1666, 1670, 1671, 1672, 1673, 1675, 
      1676, 1677, 1677, 1678, 1680, 1681, 1681, 1682, 1682, 1683, 1684, 1685, 1686, 1686, 1687, 1687, 
      1688, 1688, 1690, 1691, 1691, 1693, 1694, 1695, 1696, 1697, 1697, 1698, 1699, 1700, 1701, 1702, 
      1703, 1704, 1706, 1706, 1707, 1708, 1710, 1712, 1713, 1713, 1714, 1714, 1715, 1716, 1717, 1718, 
      1718, 1719, 1721, 1721, 1722, 1723, 1725, 1726, 1727, 1728, 1729, 1729, 1732, 1733, 1734, 1735, 
      1736, 1737, 1739, 1740, 1741, 1742, 1743, 1743, 1744, 1745, 1747, 1748, 1749, 1750, 1750, 1751, 
      1752, 1753, 1754, 1754, 1756, 1756, 1757, 1758, 1760, 1761, 1761, 1762, 1763, 1764, 1764, 1765, 
      1765, 1768, 1769, 1770, 1770, 1773, 1774, 1775, 1777, 1777, 1779, 1780, 1780, 1780, 1781, 1783, 
      1784, 1785, 1786, 1787, 1787, 1789, 1789, 1790, 1790, 1792, 1792, 1793, 1794, 1796, 1797, 1797, 
      1798, 1800, 1801, 1802, 1803, 1803, 1804, 1805, 1807, 1808, 1809, 1809, 1810, 1812, 1814, 1814, 
      1815, 1819, 1819, 1819, 1820, 1822, 1822, 1823, 1824, 1826, 1827, 1829, 1831, 1832, 1833, 1835, 
      1836, 1837, 1838, 1840, 1840, 1841, 1842, 1844, 1846, 1847, 1848, 1850, 1851, 1851, 1855, 1856, 
      1857, 1857, 1858, 1858, 1859, 1859, 1863, 1864, 1864, 1866, 1867, 1869, 1869, 1870, 1871, 1872, 
      1873, 1873, 1874, 1875, 1876, 1876, 1877, 1877, 1878, 1879, 1880, 1882, 1883, 1884, 1885, 1886, 
      1887, 1889, 1890, 1891, 1892, 1894, 1895, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1903, 1904, 
      1905, 1905, 1906, 1907, 1907, 1908, 1909, 1909, 1911, 1911, 1912, 1912, 1913, 1915, 1915, 1916, 
      1917, 1918, 1920, 1921, 1925, 1927, 1928, 1929, 1930, 1932, 1932, 1933, 1934, 1934, 1935, 1936, 
      1936, 1937, 1939, 1940, 1941, 1941, 1942, 1945, 1945, 1946, 1946, 1947, 1947, 1947, 1948, 1949, 
      1950, 1951, 1952, 1952, 1953, 1954, 1955, 1955, 1955, 1956, 1957, 1957, 1958, 1960, 1961, 1961, 
      1962, 1963, 1964, 1965, 1965, 1969, 1971, 1972, 1972, 1972, 1973, 1975, 1975, 1976, 1976, 1980, 
      1981, 1981, 1983, 1984, 1984, 1986, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1998, 1999, 
      2000, 2001, 2001, 2002, 2004, 2004, 2005, 2006, 2007, 2008, 2009, 2009, 2011, 2011, 2013, 2014, 
      2014, 2015, 2017, 2017, 2018, 2019, 2021, 2022, 2022, 2023, 2024, 2025, 2026, 2027, 2027, 2030, 
      2031, 2033, 2035, 2036, 2036, 2038, 2039, 2039, 2041, 2042, 2042, 2043, 2044, 2045, 2045, 2047, 
      2047, 2048, 2048, 2050, 2050, 2051, 2052, 2053, 2055, 2056, 2058, 2058, 2059, 2060, 2060, 2060, 
      2061, 2061, 2066, 2068, 2069, 2070, 2070, 2072, 2074, 2076, 2076, 2078, 2079, 2081, 2083, 2084, 
      2085, 2085, 2087, 2088, 2089, 2092, 2093, 2095, 2096, 2096, 2097, 2098, 2098, 2099, 2099, 2100, 
      2100, 2101, 2102, 2102, 2103, 2104, 2104, 2105, 2105, 2106, 2106, 2107, 2108, 2108 ] ]