[ [ 36, 55, 162, 314, 499, 509, 569, 618, 659, 785, 995, 1347, 1352, 1373, 1520, 1613, 1686, 1715, 
      1758, 2039, 2050 ], [ 3, 4, 6, 9, 13, 14, 15, 16, 19, 19, 21, 21, 22, 23, 23, 24, 24, 27, 28, 28, 
      28, 29, 30, 31, 31, 31, 32, 35, 37, 38, 40, 41, 42, 44, 45, 45, 45, 46, 46, 47, 48, 50, 52, 53, 
      54, 55, 58, 59, 60, 61, 63, 63, 64, 65, 66, 66, 68, 68, 69, 71, 72, 75, 76, 76, 76, 77, 78, 79, 
      80, 80, 81, 81, 81, 84, 85, 85, 85, 86, 87, 88, 90, 91, 92, 92, 96, 97, 98, 99, 99, 100, 100, 
      100, 101, 101, 101, 102, 104, 104, 104, 107, 108, 110, 111, 111, 112, 112, 112, 113, 113, 114, 
      114, 114, 116, 117, 117, 117, 118, 118, 118, 119, 119, 121, 121, 123, 124, 125, 125, 125, 128, 
      129, 130, 130, 131, 132, 132, 133, 133, 134, 135, 137, 137, 139, 140, 141, 141, 142, 143, 144, 
      145, 147, 147, 147, 148, 151, 151, 151, 152, 153, 153, 155, 157, 159, 160, 162, 163, 163, 164, 
      164, 166, 167, 167, 168, 169, 169, 171, 171, 173, 177, 177, 177, 179, 179, 180, 182, 183, 183, 
      184, 190, 190, 190, 191, 192, 193, 194, 194, 200, 201, 201, 201, 203, 204, 205, 209, 209, 210, 
      210, 211, 211, 211, 212, 212, 213, 213, 214, 214, 215, 215, 217, 217, 219, 219, 221, 221, 222, 
      222, 224, 224, 224, 225, 225, 226, 226, 228, 228, 229, 229, 232, 232, 236, 237, 240, 242, 242, 
      243, 243, 243, 244, 244, 247, 250, 252, 254, 255, 255, 256, 258, 260, 260, 262, 262, 264, 266, 
      270, 270, 270, 272, 273, 275, 277, 277, 277, 278, 278, 279, 281, 282, 284, 285, 287, 293, 293, 
      294, 295, 295, 296, 297, 297, 299, 300, 301, 301, 301, 307, 307, 308, 309, 310, 310, 310, 311, 
      312, 312, 313, 313, 314, 314, 315, 316, 316, 317, 317, 318, 320, 321, 323, 324, 324, 325, 326, 
      327, 327, 328, 328, 330, 330, 331, 331, 332, 335, 335, 335, 336, 337, 339, 341, 342, 343, 343, 
      344, 345, 350, 350, 351, 352, 352, 354, 355, 355, 356, 356, 357, 358, 360, 364, 365, 365, 367, 
      369, 369, 370, 371, 373, 373, 374, 374, 375, 375, 377, 377, 378, 378, 380, 382, 382, 383, 383, 
      384, 384, 384, 387, 388, 390, 390, 390, 391, 393, 393, 394, 395, 395, 396, 396, 397, 397, 397, 
      398, 398, 399, 399, 401, 401, 405, 405, 407, 408, 409, 410, 411, 412, 413, 415, 415, 417, 419, 
      419, 421, 425, 427, 427, 427, 427, 430, 431, 433, 433, 434, 435, 435, 439, 442, 442, 442, 443, 
      443, 444, 444, 444, 445, 446, 446, 447, 448, 448, 449, 449, 449, 451, 451, 452, 452, 454, 454, 
      457, 459, 460, 460, 464, 464, 466, 467, 467, 469, 469, 469, 469, 470, 471, 471, 473, 473, 474, 
      475, 475, 477, 477, 480, 481, 483, 483, 484, 485, 486, 486, 487, 489, 490, 492, 492, 497, 497, 
      498, 498, 499, 504, 504, 505, 506, 507, 511, 512, 512, 513, 513, 514, 514, 516, 516, 516, 516, 
      517, 517, 519, 520, 520, 526, 529, 531, 531, 531, 532, 532, 533, 534, 537, 539, 540, 541, 541, 
      542, 542, 545, 545, 546, 546, 548, 548, 549, 549, 549, 551, 552, 553, 553, 555, 555, 556, 557, 
      558, 558, 559, 559, 560, 561, 562, 563, 563, 564, 565, 566, 566, 567, 568, 569, 570, 571, 571, 
      572, 572, 573, 573, 574, 575, 577, 577, 580, 580, 581, 581, 582, 582, 584, 584, 585, 587, 590, 
      591, 594, 594, 595, 596, 596, 597, 598, 598, 599, 600, 601, 602, 603, 604, 605, 607, 607, 609, 
      610, 612, 613, 614, 614, 614, 615, 615, 618, 618, 619, 620, 622, 623, 623, 623, 624, 626, 628, 
      629, 630, 630, 633, 633, 634, 634, 634, 635, 635, 636, 636, 638, 639, 642, 643, 645, 648, 649, 
      651, 652, 655, 658, 658, 659, 659, 660, 661, 662, 662, 666, 666, 666, 668, 670, 670, 671, 671, 
      674, 674, 675, 677, 680, 681, 682, 682, 684, 686, 687, 688, 689, 689, 690, 690, 691, 692, 693, 
      695, 695, 696, 698, 698, 699, 699, 700, 700, 701, 701, 704, 705, 708, 708, 709, 709, 710, 711, 
      712, 713, 715, 715, 716, 717, 717, 718, 718, 719, 719, 720, 720, 720, 721, 721, 722, 722, 723, 
      724, 724, 725, 725, 726, 727, 728, 728, 730, 730, 731, 731, 731, 734, 734, 735, 735, 735, 736, 
      737, 739, 740, 741, 741, 744, 746, 747, 747, 751, 752, 752, 755, 756, 757, 757, 760, 761, 761, 
      764, 764, 764, 765, 765, 768, 768, 769, 769, 770, 770, 773, 773, 775, 775, 775, 778, 778, 778, 
      779, 780, 780, 782, 783, 785, 786, 786, 788, 789, 790, 793, 795, 795, 796, 796, 796, 797, 797, 
      800, 800, 801, 801, 801, 802, 803, 803, 804, 805, 806, 806, 807, 807, 808, 808, 809, 810, 810, 
      811, 812, 812, 813, 813, 814, 815, 815, 816, 817, 818, 818, 821, 822, 822, 825, 827, 827, 828, 
      828, 830, 831, 831, 832, 833, 835, 835, 836, 838, 838, 840, 840, 841, 842, 842, 843, 844, 846, 
      846, 847, 850, 851, 851, 852, 853, 854, 854, 854, 856, 857, 858, 861, 861, 862, 863, 866, 866, 
      867, 867, 868, 869, 869, 870, 870, 870, 870, 872, 873, 873, 874, 874, 874, 875, 875, 876, 877, 
      877, 879, 879, 880, 880, 881, 881, 883, 884, 884, 891, 891, 895, 897, 897, 898, 900, 901, 902, 
      905, 905, 906, 907, 907, 911, 916, 917, 917, 918, 918, 919, 921, 921, 923, 923, 923, 925, 925, 
      927, 927, 929, 930, 931, 931, 934, 934, 934, 934, 936, 936, 936, 938, 938, 939, 939, 939, 942, 
      943, 945, 945, 948, 949, 950, 950, 952, 952, 953, 954, 954, 955, 955, 956, 956, 958, 959, 961, 
      962, 962, 962, 963, 963, 964, 967, 968, 969, 972, 972, 973, 974, 976, 977, 977, 978, 982, 983, 
      983, 984, 986, 987, 987, 987, 988, 989, 989, 990, 990, 991, 992, 992, 993, 996, 996, 997, 1004, 
      1005, 1006, 1006, 1007, 1007, 1008, 1008, 1009, 1010, 1010, 1015, 1016, 1017, 1017, 1018, 1018, 
      1019, 1021, 1022, 1022, 1024, 1025, 1025, 1027, 1027, 1029, 1031, 1032, 1032, 1033, 1033, 1034, 
      1035, 1036, 1037, 1040, 1041, 1042, 1043, 1044, 1044, 1044, 1045, 1046, 1047, 1048, 1048, 1049, 
      1049, 1050, 1051, 1051, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1058, 1059, 1061, 1061, 
      1062, 1067, 1067, 1071, 1073, 1073, 1076, 1078, 1080, 1080, 1080, 1081, 1083, 1083, 1084, 1084, 
      1087, 1089, 1089, 1090, 1090, 1091, 1092, 1093, 1093, 1093, 1094, 1095, 1095, 1096, 1100, 1102, 
      1102, 1102, 1103, 1103, 1104, 1105, 1105, 1108, 1108, 1109, 1109, 1110, 1111, 1111, 1111, 1113, 
      1115, 1115, 1117, 1117, 1117, 1118, 1120, 1120, 1120, 1121, 1122, 1123, 1123, 1125, 1125, 1126, 
      1126, 1130, 1131, 1132, 1133, 1135, 1137, 1137, 1138, 1138, 1139, 1139, 1140, 1140, 1142, 1142, 
      1142, 1143, 1143, 1144, 1144, 1145, 1145, 1148, 1148, 1152, 1152, 1153, 1153, 1154, 1154, 1154, 
      1157, 1159, 1159, 1162, 1162, 1166, 1167, 1169, 1171, 1173, 1173, 1173, 1173, 1174, 1175, 1176, 
      1177, 1181, 1181, 1182, 1191, 1192, 1193, 1193, 1195, 1195, 1196, 1196, 1197, 1198, 1202, 1203, 
      1204, 1207, 1208, 1209, 1210, 1211, 1212, 1212, 1214, 1215, 1216, 1216, 1217, 1217, 1218, 1218, 
      1219, 1219, 1219, 1220, 1220, 1220, 1222, 1223, 1223, 1224, 1227, 1228, 1231, 1232, 1236, 1238, 
      1239, 1239, 1242, 1242, 1243, 1246, 1246, 1246, 1247, 1248, 1250, 1251, 1251, 1252, 1252, 1253, 
      1253, 1255, 1255, 1256, 1256, 1257, 1257, 1257, 1259, 1260, 1261, 1261, 1262, 1264, 1265, 1266, 
      1266, 1266, 1268, 1268, 1269, 1269, 1270, 1271, 1274, 1275, 1279, 1279, 1281, 1281, 1282, 1282, 
      1283, 1283, 1284, 1285, 1286, 1286, 1286, 1290, 1294, 1294, 1296, 1297, 1297, 1298, 1300, 1300, 
      1300, 1301, 1302, 1303, 1304, 1305, 1305, 1305, 1306, 1307, 1307, 1308, 1310, 1310, 1311, 1312, 
      1312, 1313, 1315, 1315, 1316, 1317, 1318, 1320, 1320, 1321, 1322, 1322, 1322, 1323, 1324, 1326, 
      1329, 1329, 1329, 1331, 1333, 1334, 1335, 1337, 1339, 1340, 1340, 1341, 1341, 1342, 1344, 1344, 
      1347, 1348, 1352, 1352, 1353, 1354, 1356, 1356, 1357, 1358, 1358, 1360, 1363, 1365, 1366, 1367, 
      1367, 1368, 1369, 1369, 1370, 1370, 1372, 1372, 1373, 1374, 1374, 1375, 1376, 1376, 1379, 1381, 
      1382, 1383, 1384, 1387, 1388, 1388, 1391, 1394, 1395, 1395, 1397, 1399, 1399, 1400, 1400, 1401, 
      1405, 1406, 1406, 1407, 1407, 1408, 1410, 1411, 1413, 1414, 1415, 1416, 1416, 1417, 1417, 1418, 
      1420, 1420, 1421, 1421, 1422, 1422, 1423, 1425, 1425, 1427, 1427, 1429, 1429, 1430, 1430, 1431, 
      1435, 1436, 1436, 1437, 1440, 1442, 1443, 1443, 1443, 1443, 1444, 1446, 1447, 1447, 1448, 1449, 
      1449, 1450, 1450, 1451, 1453, 1454, 1454, 1455, 1455, 1462, 1463, 1464, 1464, 1464, 1466, 1467, 
      1467, 1469, 1470, 1470, 1471, 1471, 1472, 1472, 1474, 1474, 1474, 1475, 1476, 1478, 1479, 1480, 
      1480, 1482, 1483, 1484, 1485, 1486, 1486, 1486, 1490, 1491, 1492, 1493, 1493, 1493, 1494, 1495, 
      1495, 1496, 1497, 1498, 1499, 1500, 1500, 1504, 1504, 1505, 1505, 1506, 1510, 1510, 1510, 1512, 
      1513, 1514, 1514, 1515, 1515, 1515, 1517, 1522, 1523, 1526, 1527, 1527, 1528, 1528, 1531, 1532, 
      1532, 1534, 1534, 1535, 1536, 1537, 1538, 1538, 1539, 1541, 1541, 1542, 1542, 1544, 1545, 1547, 
      1547, 1548, 1550, 1552, 1553, 1553, 1556, 1557, 1557, 1560, 1560, 1561, 1561, 1561, 1563, 1563, 
      1563, 1565, 1565, 1566, 1566, 1566, 1567, 1568, 1571, 1571, 1572, 1572, 1574, 1574, 1579, 1580, 
      1580, 1582, 1582, 1583, 1585, 1585, 1588, 1588, 1588, 1589, 1590, 1590, 1590, 1591, 1592, 1594, 
      1594, 1595, 1598, 1599, 1599, 1601, 1603, 1604, 1605, 1605, 1607, 1608, 1608, 1609, 1610, 1611, 
      1614, 1615, 1615, 1616, 1616, 1617, 1619, 1619, 1619, 1621, 1621, 1622, 1622, 1624, 1625, 1625, 
      1626, 1626, 1627, 1628, 1628, 1628, 1631, 1632, 1632, 1633, 1634, 1634, 1634, 1635, 1636, 1637, 
      1639, 1641, 1641, 1642, 1643, 1643, 1644, 1645, 1647, 1648, 1648, 1648, 1648, 1650, 1651, 1653, 
      1654, 1654, 1656, 1657, 1659, 1660, 1660, 1660, 1662, 1662, 1662, 1663, 1665, 1666, 1668, 1668, 
      1668, 1670, 1671, 1671, 1672, 1673, 1673, 1674, 1674, 1675, 1676, 1677, 1678, 1678, 1680, 1680, 
      1682, 1683, 1684, 1684, 1685, 1685, 1685, 1686, 1686, 1686, 1687, 1687, 1687, 1688, 1689, 1690, 
      1690, 1690, 1691, 1691, 1693, 1695, 1699, 1700, 1702, 1702, 1705, 1705, 1706, 1706, 1707, 1707, 
      1709, 1711, 1712, 1714, 1714, 1715, 1716, 1717, 1717, 1718, 1718, 1720, 1720, 1723, 1724, 1725, 
      1726, 1726, 1727, 1727, 1729, 1732, 1733, 1734, 1738, 1739, 1740, 1740, 1741, 1741, 1742, 1743, 
      1748, 1749, 1749, 1750, 1750, 1753, 1753, 1754, 1756, 1757, 1758, 1759, 1761, 1763, 1763, 1764, 
      1767, 1768, 1768, 1770, 1773, 1774, 1776, 1777, 1777, 1778, 1778, 1778, 1780, 1780, 1781, 1781, 
      1782, 1783, 1785, 1785, 1786, 1786, 1790, 1790, 1792, 1792, 1793, 1794, 1797, 1798, 1799, 1800, 
      1800, 1801, 1801, 1803, 1803, 1803, 1804, 1804, 1808, 1808, 1809, 1809, 1811, 1811, 1812, 1813, 
      1817, 1817, 1820, 1820, 1820, 1821, 1822, 1824, 1825, 1825, 1825, 1826, 1826, 1828, 1828, 1828, 
      1829, 1831, 1831, 1831, 1831, 1832, 1833, 1834, 1834, 1834, 1835, 1835, 1836, 1839, 1840, 1842, 
      1842, 1842, 1843, 1843, 1844, 1845, 1847, 1847, 1848, 1848, 1849, 1850, 1852, 1852, 1854, 1855, 
      1858, 1860, 1861, 1861, 1861, 1862, 1863, 1863, 1864, 1865, 1866, 1867, 1867, 1870, 1870, 1870, 
      1871, 1872, 1872, 1873, 1875, 1876, 1876, 1879, 1881, 1883, 1887, 1889, 1890, 1891, 1892, 1893, 
      1893, 1895, 1896, 1896, 1897, 1897, 1898, 1898, 1900, 1901, 1902, 1902, 1902, 1905, 1906, 1906, 
      1906, 1907, 1907, 1908, 1909, 1909, 1910, 1910, 1911, 1911, 1915, 1916, 1918, 1918, 1919, 1920, 
      1920, 1921, 1923, 1924, 1925, 1925, 1926, 1927, 1927, 1930, 1930, 1931, 1931, 1932, 1935, 1936, 
      1936, 1938, 1940, 1941, 1941, 1941, 1943, 1943, 1944, 1946, 1947, 1948, 1949, 1949, 1950, 1950, 
      1951, 1952, 1952, 1953, 1955, 1955, 1955, 1956, 1957, 1957, 1957, 1958, 1958, 1960, 1960, 1961, 
      1962, 1962, 1963, 1963, 1963, 1967, 1968, 1969, 1970, 1970, 1971, 1971, 1972, 1973, 1974, 1975, 
      1975, 1975, 1976, 1977, 1977, 1978, 1978, 1978, 1980, 1981, 1983, 1985, 1986, 1987, 1992, 1993, 
      1993, 1994, 1995, 1997, 1998, 2000, 2000, 2001, 2002, 2003, 2004, 2005, 2005, 2007, 2008, 2008, 
      2009, 2010, 2011, 2013, 2013, 2016, 2017, 2017, 2018, 2019, 2020, 2021, 2021, 2021, 2021, 2024, 
      2024, 2025, 2025, 2027, 2028, 2029, 2029, 2030, 2030, 2031, 2032, 2032, 2035, 2038, 2040, 2040, 
      2040, 2041, 2042, 2042, 2042, 2043, 2043, 2044, 2044, 2045, 2045, 2045, 2046, 2046, 2047, 2048, 
      2050, 2051, 2051, 2053, 2053, 2055, 2060, 2060, 2060, 2061, 2061, 2062, 2063, 2064, 2064, 2064, 
      2066, 2066, 2069, 2069, 2069, 2070, 2075, 2076, 2077, 2079, 2079, 2080, 2080, 2081, 2081, 2083, 
      2083, 2083, 2084, 2087, 2088, 2088, 2095, 2095, 2095, 2096, 2097, 2097, 2097, 2098, 2099, 2099, 
      2101, 2102, 2104, 2104, 2104, 2104, 2106, 2106, 2110, 2110, 2113, 2113, 2114, 2114, 2115, 2117, 
      2117, 2118, 2118, 2120, 2121, 2121, 2122, 2122, 2123, 2123, 2123, 2125, 2125, 2127, 2128, 2129, 
      2130, 2130, 2131, 2131, 2135, 2135, 2136, 2138, 2139, 2139, 2141, 2143, 2143, 2145, 2145, 2145, 
      2148, 2149, 2150, 2150, 2153, 2154, 2154, 2156, 2157, 2158, 2158, 2160, 2160, 2164, 2166, 2168, 
      2168, 2169, 2169, 2169, 2170, 2171, 2171, 2172, 2173, 2174, 2174, 2175, 2176, 2177, 2177, 2177, 
      2178, 2178, 2180, 2180, 2181, 2182, 2184, 2184, 2185, 2188, 2189, 2190, 2190, 2192, 2193, 2193, 
      2193, 2193, 2194, 2194, 2196, 2197, 2198, 2201, 2205, 2206, 2208, 2208, 2209, 2210, 2210, 2213, 
      2214, 2214, 2217, 2218, 2218, 2219, 2219, 2220, 2221, 2222, 2222, 2224, 2224, 2225, 2226, 2226, 
      2227, 2228, 2232, 2232, 2236, 2236, 2237, 2238, 2239, 2239, 2240, 2241, 2242, 2244, 2249, 2252, 
      2253, 2253, 2253, 2254, 2256, 2260, 2261, 2263, 2264, 2264, 2264, 2265, 2266, 2267, 2268, 2268, 
      2272, 2273, 2273, 2274, 2276, 2277, 2278, 2278, 2280, 2281, 2281, 2282, 2282, 2283, 2283, 2283, 
      2284, 2286, 2286, 2287, 2289, 2289, 2290, 2292, 2292, 2293, 2293, 2294, 2294, 2297, 2297, 2299, 
      2299, 2299, 2302, 2302, 2303, 2303, 2304, 2305, 2305, 2305, 2307, 2308, 2309, 2310, 2311, 2312, 
      2313, 2313, 2314, 2314, 2314, 2319, 2319, 2319, 2322, 2324, 2326, 2326, 2326, 2327, 2328, 2329, 
      2329, 2331, 2331, 2332, 2332, 2333, 2334, 2335, 2335, 2337, 2337, 2338, 2339, 2341, 2341, 2342, 
      2342, 2343, 2343, 2344, 2344, 2347, 2348, 2350, 2350, 2351, 2354, 2354, 2355, 2355, 2356, 2357, 
      2358, 2358, 2359, 2359, 2360, 2361, 2363, 2364, 2364, 2364, 2365, 2366, 2366, 2367, 2368, 2369, 
      2370, 2371, 2373, 2373, 2375, 2375, 2375, 2376, 2377, 2379, 2382, 2383, 2383, 2384, 2384, 2385, 
      2386, 2386, 2388, 2388, 2389, 2390, 2391, 2391, 2392, 2393, 2393, 2394, 2394, 2396, 2396, 2398, 
      2399, 2400, 2400, 2401, 2401, 2402, 2402, 2406, 2407, 2408, 2409, 2409, 2412, 2412, 2414, 2414, 
      2414, 2415, 2415, 2416, 2417, 2418, 2420, 2421, 2422, 2423, 2423, 2424, 2424, 2424, 2425, 2426, 
      2427, 2427, 2428, 2429, 2429, 2430, 2431, 2432, 2432, 2433, 2433, 2435, 2437, 2437, 2438, 2440, 
      2440, 2441, 2442, 2443, 2444, 2445, 2446, 2446, 2447, 2448, 2448, 2449, 2449, 2449, 2453, 2454, 
      2454, 2457, 2457, 2459, 2459, 2461, 2461, 2463, 2463, 2463, 2464, 2465, 2465, 2465, 2470, 2470, 
      2471, 2471, 2472, 2474, 2475, 2478, 2480, 2482, 2482, 2482, 2484, 2484, 2485, 2485, 2486, 2487, 
      2487, 2490, 2490, 2490, 2494, 2498, 2499, 2499, 2501, 2504, 2506, 2507, 2508, 2515, 2516, 2516, 
      2517, 2517, 2517, 2518, 2518, 2519, 2521, 2521, 2522, 2522, 2522, 2525, 2525, 2526, 2526, 2527, 
      2530, 2533, 2533, 2533, 2534, 2535, 2535, 2536, 2536, 2537, 2538, 2538, 2538, 2539, 2539, 2540, 
      2545, 2546, 2546, 2550, 2552, 2553, 2554, 2555, 2555, 2557, 2557, 2558, 2559, 2559, 2561, 2562, 
      2563, 2564, 2567, 2568, 2568, 2568, 2572, 2572, 2573, 2574, 2574, 2575, 2576, 2577, 2578, 2580, 
      2581, 2581, 2584, 2584, 2587, 2587, 2588, 2589, 2589, 2591, 2591, 2591, 2593, 2594, 2594, 2595, 
      2595, 2597, 2597, 2597, 2602, 2603, 2603, 2604, 2605, 2605, 2606, 2606, 2607, 2607, 2610, 2611, 
      2613, 2613, 2614, 2615, 2621, 2622, 2622, 2623, 2623, 2623, 2624, 2625, 2626, 2626, 2627, 2628, 
      2628, 2630, 2633, 2634, 2635, 2635, 2636, 2637, 2637, 2638, 2639, 2641, 2641, 2642, 2644, 2644, 
      2645, 2647, 2647, 2648, 2649, 2650, 2652, 2652, 2653, 2653, 2653, 2654, 2655, 2656, 2657, 2658, 
      2658, 2659, 2661, 2664, 2666, 2667, 2671, 2671, 2671, 2675, 2677, 2677, 2677, 2678, 2679, 2681, 
      2683, 2684, 2686, 2687, 2689, 2689, 2691, 2692, 2692, 2694, 2695, 2697, 2698, 2698, 2701, 2701, 
      2702, 2703, 2703, 2704, 2704, 2705, 2705, 2705, 2707, 2709 ] ]