[ [ 1, 125, 487, 525, 757, 796, 951, 1005, 1033, 1212, 1231, 1268, 1275, 1525, 1710, 1769, 1821, 1874, 
      2080 ], [ 1, 2, 5, 9, 9, 11, 12, 14, 16, 17, 19, 19, 22, 22, 25, 25, 26, 27, 27, 28, 29, 30, 30, 
      31, 33, 33, 34, 34, 35, 36, 40, 40, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 49, 
      51, 52, 52, 53, 53, 55, 55, 57, 58, 59, 59, 62, 66, 66, 67, 68, 70, 71, 71, 72, 72, 74, 74, 77, 
      77, 78, 79, 80, 82, 82, 83, 83, 84, 84, 85, 86, 87, 89, 90, 90, 92, 94, 95, 96, 96, 98, 99, 99, 
      100, 101, 102, 102, 104, 104, 105, 105, 106, 108, 108, 109, 109, 110, 111, 112, 113, 114, 116, 
      117, 118, 118, 119, 120, 120, 121, 123, 127, 128, 128, 129, 132, 134, 134, 135, 135, 136, 136, 
      138, 138, 139, 139, 140, 140, 142, 143, 143, 144, 144, 145, 146, 147, 148, 149, 150, 152, 152, 
      153, 153, 154, 155, 156, 157, 159, 159, 160, 161, 162, 165, 166, 168, 168, 169, 171, 171, 172, 
      172, 173, 173, 174, 175, 175, 176, 181, 182, 184, 186, 187, 187, 189, 191, 192, 193, 195, 195, 
      197, 199, 199, 204, 207, 208, 210, 211, 214, 215, 216, 216, 217, 219, 220, 222, 222, 225, 225, 
      226, 227, 227, 228, 228, 229, 229, 230, 230, 232, 233, 234, 234, 235, 236, 237, 237, 238, 238, 
      241, 242, 242, 248, 250, 253, 256, 256, 257, 259, 259, 261, 262, 262, 263, 263, 264, 264, 266, 
      266, 268, 269, 271, 272, 272, 273, 274, 274, 275, 275, 278, 279, 280, 281, 282, 283, 283, 286, 
      286, 287, 288, 291, 292, 293, 293, 294, 296, 296, 297, 300, 302, 304, 304, 307, 307, 308, 308, 
      310, 312, 312, 313, 313, 314, 314, 315, 316, 319, 320, 320, 321, 321, 323, 323, 324, 325, 325, 
      327, 327, 328, 329, 330, 331, 331, 332, 332, 333, 334, 334, 335, 336, 336, 338, 340, 342, 342, 
      344, 344, 345, 345, 346, 348, 348, 349, 349, 350, 351, 353, 353, 354, 356, 356, 357, 359, 359, 
      360, 360, 362, 363, 363, 366, 366, 367, 367, 368, 368, 370, 370, 371, 372, 372, 373, 374, 376, 
      377, 378, 380, 380, 381, 381, 382, 384, 384, 387, 387, 388, 392, 393, 395, 398, 398, 399, 401, 
      403, 404, 405, 405, 406, 406, 408, 409, 411, 412, 412, 413, 413, 415, 416, 416, 418, 420, 421, 
      423, 424, 424, 425, 426, 426, 427, 429, 429, 430, 432, 432, 435, 435, 436, 436, 439, 440, 441, 
      441, 442, 442, 445, 445, 446, 446, 447, 448, 449, 450, 451, 451, 453, 454, 455, 456, 457, 458, 
      459, 460, 463, 465, 466, 467, 467, 468, 468, 469, 469, 470, 471, 471, 472, 472, 473, 473, 474, 
      476, 476, 477, 478, 479, 481, 481, 485, 485, 486, 486, 487, 489, 489, 490, 492, 492, 494, 494, 
      495, 499, 499, 500, 500, 503, 503, 504, 505, 506, 508, 510, 511, 512, 512, 513, 514, 514, 516, 
      518, 518, 519, 520, 520, 521, 522, 522, 523, 525, 525, 526, 527, 530, 531, 532, 533, 533, 534, 
      535, 535, 537, 538, 539, 539, 540, 542, 544, 544, 545, 546, 547, 548, 550, 552, 554, 554, 555, 
      559, 559, 561, 563, 563, 564, 564, 566, 567, 567, 568, 568, 573, 574, 575, 575, 576, 580, 580, 
      581, 583, 583, 584, 586, 586, 587, 588, 589, 590, 591, 594, 594, 595, 596, 596, 597, 598, 599, 
      599, 600, 601, 602, 603, 604, 605, 606, 609, 610, 611, 612, 614, 615, 616, 616, 618, 620, 620, 
      621, 622, 623, 628, 628, 629, 629, 631, 631, 633, 633, 634, 634, 636, 637, 637, 638, 638, 640, 
      641, 641, 643, 644, 646, 647, 647, 648, 649, 650, 650, 652, 652, 654, 656, 657, 658, 664, 665, 
      666, 666, 667, 667, 668, 668, 669, 670, 670, 671, 671, 675, 676, 677, 677, 678, 678, 679, 680, 
      682, 683, 686, 689, 689, 690, 691, 691, 692, 692, 693, 694, 695, 695, 696, 697, 697, 699, 700, 
      701, 701, 704, 704, 705, 705, 706, 707, 707, 708, 710, 711, 713, 713, 714, 715, 717, 718, 718, 
      719, 719, 720, 721, 722, 722, 723, 727, 727, 728, 729, 730, 730, 731, 731, 732, 733, 734, 736, 
      737, 737, 738, 739, 740, 741, 742, 742, 743, 743, 744, 744, 745, 745, 747, 747, 749, 749, 750, 
      751, 752, 752, 754, 754, 755, 755, 756, 757, 758, 758, 759, 759, 760, 760, 762, 764, 766, 767, 
      767, 768, 768, 769, 773, 774, 774, 775, 775, 776, 777, 778, 778, 779, 779, 781, 782, 783, 785, 
      786, 788, 788, 789, 789, 790, 790, 792, 792, 793, 793, 794, 795, 795, 797, 798, 798, 800, 800, 
      803, 805, 805, 807, 809, 810, 810, 811, 811, 812, 813, 816, 816, 821, 823, 823, 824, 825, 825, 
      826, 826, 829, 829, 830, 831, 832, 832, 834, 837, 840, 840, 841, 842, 843, 844, 845, 845, 846, 
      846, 847, 849, 849, 851, 851, 852, 852, 853, 853, 854, 854, 855, 857, 859, 859, 860, 860, 861, 
      861, 862, 862, 863, 864, 864, 865, 866, 866, 867, 867, 869, 870, 871, 871, 872, 873, 873, 876, 
      876, 877, 877, 880, 880, 881, 882, 882, 883, 884, 885, 885, 886, 887, 887, 888, 888, 891, 892, 
      892, 893, 893, 894, 896, 896, 897, 898, 898, 900, 902, 903, 904, 905, 905, 908, 908, 909, 910, 
      911, 912, 913, 913, 916, 921, 922, 922, 923, 924, 924, 925, 926, 926, 927, 927, 928, 929, 931, 
      932, 933, 933, 935, 935, 936, 936, 937, 939, 940, 941, 942, 943, 943, 944, 944, 945, 946, 946, 
      947, 947, 948, 949, 949, 951, 952, 953, 953, 954, 954, 958, 959, 959, 960, 962, 964, 964, 965, 
      965, 967, 968, 968, 969, 970, 971, 972, 973, 974, 976, 976, 977, 981, 981, 982, 983, 983, 984, 
      984, 988, 989, 990, 991, 992, 992, 994, 995, 995, 996, 998, 999, 1000, 1000, 1001, 1001, 1003, 
      1003, 1004, 1004, 1005, 1005, 1007, 1007, 1009, 1009, 1010, 1011, 1011, 1012, 1012, 1013, 1013, 
      1015, 1015, 1016, 1017, 1018, 1018, 1022, 1022, 1023, 1024, 1024, 1025, 1026, 1027, 1028, 1029, 
      1029, 1030, 1031, 1032, 1032, 1035, 1035, 1037, 1037, 1038, 1039, 1039, 1040, 1040, 1041, 1042, 
      1043, 1043, 1045, 1046, 1048, 1048, 1052, 1052, 1053, 1054, 1056, 1057, 1058, 1059, 1062, 1062, 
      1066, 1067, 1067, 1068, 1068, 1071, 1071, 1072, 1074, 1074, 1075, 1075, 1077, 1079, 1080, 1080, 
      1084, 1084, 1086, 1087, 1087, 1089, 1091, 1092, 1092, 1093, 1093, 1097, 1098, 1104, 1106, 1110, 
      1110, 1111, 1111, 1112, 1112, 1113, 1114, 1115, 1115, 1116, 1117, 1120, 1121, 1121, 1122, 1122, 
      1123, 1124, 1124, 1125, 1125, 1126, 1127, 1130, 1131, 1133, 1134, 1135, 1136, 1137, 1137, 1138, 
      1141, 1141, 1145, 1145, 1146, 1146, 1147, 1147, 1148, 1149, 1150, 1150, 1151, 1152, 1156, 1157, 
      1157, 1158, 1159, 1159, 1160, 1160, 1161, 1163, 1164, 1164, 1165, 1165, 1166, 1167, 1168, 1171, 
      1173, 1174, 1175, 1175, 1177, 1177, 1179, 1180, 1181, 1185, 1186, 1186, 1187, 1187, 1190, 1190, 
      1191, 1191, 1192, 1192, 1194, 1194, 1195, 1195, 1197, 1197, 1199, 1200, 1201, 1201, 1202, 1202, 
      1203, 1203, 1204, 1204, 1205, 1205, 1207, 1207, 1210, 1210, 1215, 1217, 1219, 1219, 1220, 1220, 
      1223, 1224, 1224, 1228, 1229, 1230, 1232, 1233, 1233, 1237, 1237, 1242, 1242, 1243, 1244, 1244, 
      1245, 1246, 1247, 1247, 1249, 1249, 1250, 1250, 1253, 1253, 1255, 1256, 1256, 1257, 1257, 1258, 
      1260, 1261, 1262, 1263, 1263, 1266, 1267, 1268, 1268, 1269, 1270, 1270, 1271, 1272, 1273, 1276, 
      1277, 1279, 1279, 1280, 1281, 1281, 1282, 1282, 1283, 1284, 1284, 1285, 1285, 1286, 1286, 1287, 
      1289, 1289, 1290, 1290, 1292, 1293, 1293, 1294, 1297, 1298, 1298, 1299, 1300, 1300, 1301, 1302, 
      1302, 1304, 1304, 1307, 1307, 1308, 1308, 1312, 1314, 1315, 1318, 1318, 1320, 1320, 1321, 1322, 
      1323, 1323, 1325, 1327, 1327, 1330, 1331, 1332, 1332, 1333, 1335, 1336, 1337, 1339, 1340, 1340, 
      1341, 1342, 1343, 1343, 1344, 1344, 1345, 1346, 1347, 1349, 1350, 1351, 1351, 1352, 1353, 1354, 
      1354, 1355, 1355, 1356, 1359, 1359, 1360, 1360, 1362, 1362, 1364, 1364, 1366, 1366, 1369, 1369, 
      1371, 1372, 1372, 1373, 1374, 1375, 1379, 1381, 1381, 1382, 1383, 1383, 1384, 1385, 1387, 1387, 
      1389, 1389, 1390, 1391, 1391, 1392, 1392, 1393, 1394, 1394, 1395, 1395, 1397, 1398, 1399, 1399, 
      1400, 1401, 1401, 1402, 1402, 1403, 1403, 1404, 1405, 1405, 1407, 1407, 1408, 1408, 1410, 1410, 
      1411, 1411, 1412, 1412, 1413, 1414, 1415, 1416, 1417, 1417, 1418, 1418, 1420, 1420, 1421, 1421, 
      1422, 1422, 1423, 1423, 1424, 1426, 1426, 1427, 1427, 1428, 1431, 1432, 1435, 1436, 1436, 1437, 
      1437, 1438, 1438, 1439, 1440, 1441, 1441, 1444, 1444, 1445, 1445, 1446, 1447, 1447, 1448, 1449, 
      1450, 1450, 1452, 1453, 1454, 1454, 1455, 1455, 1458, 1458, 1460, 1461, 1461, 1462, 1464, 1465, 
      1465, 1466, 1467, 1471, 1472, 1474, 1474, 1475, 1475, 1476, 1476, 1477, 1478, 1480, 1481, 1481, 
      1482, 1482, 1483, 1483, 1484, 1484, 1485, 1487, 1487, 1488, 1490, 1490, 1493, 1493, 1494, 1495, 
      1495, 1496, 1496, 1499, 1500, 1500, 1502, 1503, 1503, 1504, 1505, 1507, 1508, 1511, 1513, 1513, 
      1514, 1514, 1516, 1516, 1517, 1519, 1519, 1520, 1520, 1522, 1523, 1523, 1524, 1525, 1526, 1527, 
      1529, 1531, 1533, 1534, 1535, 1535, 1536, 1538, 1539, 1541, 1544, 1544, 1545, 1546, 1546, 1547, 
      1548, 1549, 1550, 1550, 1553, 1555, 1556, 1559, 1559, 1560, 1561, 1561, 1562, 1563, 1564, 1564, 
      1565, 1566, 1566, 1567, 1570, 1570, 1571, 1572, 1573, 1574, 1574, 1576, 1577, 1579, 1580, 1580, 
      1585, 1586, 1587, 1587, 1588, 1589, 1589, 1590, 1591, 1592, 1593, 1593, 1594, 1594, 1597, 1599, 
      1599, 1600, 1601, 1602, 1606, 1606, 1607, 1610, 1610, 1611, 1612, 1613, 1613, 1614, 1614, 1615, 
      1616, 1617, 1618, 1618, 1624, 1624, 1626, 1628, 1629, 1630, 1631, 1631, 1633, 1633, 1634, 1636, 
      1637, 1637, 1638, 1638, 1639, 1640, 1640, 1642, 1642, 1645, 1646, 1646, 1649, 1650, 1655, 1657, 
      1657, 1658, 1658, 1659, 1659, 1660, 1660, 1663, 1664, 1665, 1665, 1666, 1667, 1668, 1670, 1671, 
      1672, 1672, 1673, 1673, 1675, 1675, 1676, 1676, 1678, 1678, 1680, 1680, 1681, 1682, 1682, 1684, 
      1687, 1688, 1689, 1691, 1691, 1692, 1693, 1693, 1694, 1695, 1696, 1697, 1698, 1698, 1699, 1700, 
      1700, 1701, 1701, 1702, 1702, 1704, 1705, 1706, 1707, 1707, 1708, 1710, 1711, 1711, 1712, 1712, 
      1714, 1715, 1715, 1717, 1718, 1719, 1719, 1720, 1720, 1722, 1723, 1724, 1726, 1727, 1727, 1729, 
      1729, 1730, 1730, 1731, 1731, 1733, 1733, 1734, 1734, 1736, 1736, 1739, 1741, 1742, 1744, 1745, 
      1747, 1747, 1749, 1749, 1750, 1750, 1751, 1751, 1752, 1752, 1753, 1754, 1755, 1756, 1757, 1757, 
      1758, 1758, 1760, 1761, 1763, 1765, 1766, 1767, 1767, 1768, 1768, 1769, 1769, 1770, 1770, 1771, 
      1771, 1774, 1774, 1775, 1776, 1778, 1778, 1779, 1781, 1785, 1785, 1787, 1790, 1790, 1791, 1791, 
      1792, 1792, 1794, 1794, 1795, 1795, 1796, 1796, 1798, 1798, 1800, 1800, 1801, 1801, 1803, 1803, 
      1805, 1807, 1808, 1808, 1810, 1810, 1812, 1813, 1813, 1814, 1818, 1818, 1820, 1820, 1821, 1821, 
      1823, 1824, 1825, 1827, 1829, 1829, 1830, 1830, 1831, 1831, 1832, 1832, 1833, 1834, 1836, 1837, 
      1839, 1840, 1841, 1842, 1844, 1845, 1847, 1847, 1848, 1849, 1849, 1850, 1851, 1851, 1852, 1852, 
      1853, 1853, 1854, 1856, 1856, 1857, 1857, 1858, 1859, 1859, 1860, 1860, 1861, 1861, 1862, 1862, 
      1863, 1864, 1865, 1866, 1868, 1870, 1870, 1871, 1872, 1872, 1873, 1873, 1874, 1875, 1875, 1876, 
      1876, 1877, 1878, 1883, 1883, 1884, 1886, 1886, 1887, 1888, 1888, 1890, 1890, 1891, 1896, 1900, 
      1901, 1901, 1904, 1904, 1906, 1909, 1910, 1911, 1912, 1912, 1913, 1913, 1915, 1916, 1916, 1918, 
      1918, 1919, 1920, 1921, 1921, 1922, 1923, 1924, 1924, 1925, 1925, 1926, 1926, 1927, 1928, 1929, 
      1929, 1930, 1930, 1932, 1932, 1933, 1934, 1935, 1935, 1936, 1938, 1938, 1939, 1939, 1940, 1940, 
      1941, 1942, 1942, 1943, 1944, 1945, 1946, 1949, 1950, 1950, 1951, 1952, 1952, 1953, 1954, 1955, 
      1956, 1956, 1957, 1958, 1958, 1962, 1962, 1963, 1965, 1966, 1967, 1967, 1968, 1969, 1969, 1970, 
      1971, 1971, 1972, 1973, 1973, 1974, 1975, 1975, 1976, 1977, 1978, 1978, 1979, 1980, 1982, 1982, 
      1983, 1983, 1986, 1986, 1987, 1988, 1988, 1989, 1991, 1992, 1993, 1994, 1995, 1996, 1996, 1998, 
      2000, 2000, 2003, 2003, 2004, 2005, 2005, 2007, 2008, 2010, 2010, 2012, 2012, 2013, 2014, 2015, 
      2015, 2017, 2018, 2019, 2019, 2020, 2020, 2022, 2022, 2024, 2025, 2026, 2028, 2029, 2030, 2030, 
      2031, 2032, 2032, 2036, 2036, 2037, 2037, 2038, 2039, 2039, 2040, 2040, 2042, 2042, 2043, 2043, 
      2045, 2045, 2048, 2048, 2049, 2049, 2050, 2050, 2052, 2052, 2053, 2053, 2054, 2055, 2056, 2056, 
      2057, 2059, 2059, 2060, 2061, 2061, 2062, 2062, 2064, 2064, 2066, 2066, 2067, 2071, 2072, 2072, 
      2074, 2075, 2075, 2076, 2077, 2078, 2078, 2079, 2080, 2080, 2081, 2081, 2083, 2083, 2086, 2088, 
      2089, 2090, 2090, 2091, 2091, 2093, 2097, 2100, 2100, 2101, 2104, 2105, 2106, 2107, 2107, 2108, 
      2109, 2109 ] ]