[ [ 135, 200, 204, 257, 260, 377, 405, 407, 510, 550, 554, 663, 713, 752, 930, 932, 1184, 1206, 1225, 
      1256, 1582, 1601, 1620, 1640, 1809, 1843, 1867, 1893, 2010, 2013, 2106, 2122, 2287, 2403, 2483 ], 
  [ 1, 3, 3, 4, 4, 7, 7, 8, 9, 9, 10, 11, 12, 14, 16, 19, 20, 20, 23, 24, 26, 28, 30, 31, 33, 34, 35, 
      36, 38, 39, 40, 40, 43, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 
      61, 63, 63, 64, 64, 65, 68, 70, 71, 72, 73, 74, 75, 75, 76, 77, 77, 78, 79, 80, 80, 82, 83, 83, 
      84, 86, 87, 88, 88, 89, 92, 93, 93, 94, 96, 98, 99, 101, 102, 103, 104, 104, 105, 106, 107, 107, 
      109, 109, 110, 112, 112, 113, 114, 115, 116, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126, 
      127, 128, 129, 131, 131, 132, 133, 133, 134, 136, 137, 137, 138, 139, 140, 140, 141, 142, 143, 
      144, 144, 145, 146, 147, 148, 148, 149, 151, 152, 153, 154, 155, 156, 157, 160, 160, 161, 162, 
      163, 164, 165, 165, 166, 167, 167, 168, 169, 171, 171, 172, 174, 175, 175, 176, 178, 179, 179, 
      180, 180, 182, 183, 183, 184, 185, 185, 186, 187, 188, 188, 190, 190, 191, 192, 193, 194, 195, 
      197, 199, 200, 201, 202, 202, 203, 204, 205, 206, 207, 207, 208, 208, 209, 209, 210, 211, 212, 
      212, 214, 215, 216, 217, 217, 218, 219, 220, 221, 222, 223, 223, 224, 227, 227, 229, 230, 231, 
      233, 234, 236, 238, 239, 241, 242, 242, 243, 244, 245, 245, 247, 247, 248, 249, 250, 251, 252, 
      253, 253, 255, 256, 257, 258, 260, 261, 262, 265, 266, 267, 269, 269, 271, 272, 273, 275, 275, 
      276, 278, 279, 279, 280, 281, 282, 283, 283, 284, 285, 286, 287, 289, 290, 290, 291, 292, 292, 
      293, 294, 295, 295, 296, 298, 298, 299, 301, 302, 303, 303, 305, 306, 307, 308, 308, 309, 310, 
      310, 311, 312, 313, 314, 315, 315, 316, 317, 318, 318, 319, 321, 322, 323, 324, 325, 326, 326, 
      327, 327, 328, 328, 329, 331, 332, 333, 333, 334, 335, 336, 338, 339, 339, 340, 341, 343, 343, 
      345, 345, 347, 347, 348, 348, 349, 350, 351, 352, 352, 353, 355, 356, 357, 358, 359, 360, 361, 
      361, 362, 363, 363, 364, 364, 366, 367, 368, 369, 370, 372, 373, 375, 377, 378, 379, 381, 381, 
      382, 382, 384, 384, 385, 386, 387, 387, 388, 390, 390, 392, 393, 394, 395, 396, 397, 398, 399, 
      399, 400, 400, 401, 402, 403, 404, 404, 405, 406, 408, 409, 410, 412, 413, 413, 414, 415, 416, 
      417, 417, 419, 420, 422, 424, 425, 426, 427, 427, 428, 428, 429, 430, 431, 432, 433, 436, 437, 
      438, 439, 440, 442, 443, 443, 444, 446, 447, 448, 449, 450, 451, 453, 454, 455, 456, 457, 458, 
      459, 461, 461, 462, 462, 464, 466, 466, 467, 468, 469, 469, 470, 472, 473, 475, 476, 478, 479, 
      480, 483, 484, 485, 487, 488, 489, 490, 491, 492, 492, 493, 493, 494, 494, 495, 495, 496, 498, 
      499, 501, 501, 504, 505, 506, 507, 508, 510, 511, 511, 512, 513, 514, 514, 516, 517, 518, 518, 
      519, 520, 521, 522, 524, 525, 526, 527, 528, 530, 531, 532, 532, 533, 534, 535, 537, 538, 539, 
      540, 542, 542, 544, 545, 545, 546, 547, 548, 549, 550, 550, 551, 553, 554, 555, 556, 557, 558, 
      560, 561, 563, 564, 565, 566, 567, 568, 569, 570, 572, 574, 575, 576, 576, 579, 580, 581, 582, 
      582, 583, 585, 586, 589, 589, 590, 591, 592, 593, 593, 594, 595, 595, 596, 597, 597, 598, 599, 
      600, 601, 602, 603, 604, 605, 605, 607, 607, 608, 608, 609, 610, 611, 612, 612, 613, 614, 615, 
      615, 616, 617, 617, 618, 621, 622, 623, 624, 625, 625, 626, 627, 628, 629, 630, 630, 631, 632, 
      633, 636, 637, 638, 639, 640, 642, 642, 643, 644, 645, 646, 648, 649, 650, 651, 652, 654, 654, 
      655, 656, 658, 658, 659, 660, 662, 662, 663, 663, 665, 666, 666, 667, 668, 670, 671, 672, 672, 
      673, 673, 674, 675, 677, 677, 678, 679, 679, 680, 681, 682, 685, 686, 688, 689, 690, 690, 691, 
      692, 692, 693, 694, 694, 695, 696, 697, 698, 698, 699, 700, 700, 701, 702, 703, 704, 707, 708, 
      709, 709, 710, 711, 712, 714, 715, 715, 716, 717, 718, 718, 719, 720, 721, 722, 724, 724, 727, 
      728, 729, 730, 731, 732, 733, 733, 734, 736, 736, 737, 739, 740, 740, 741, 742, 743, 745, 745, 
      747, 748, 749, 750, 752, 753, 754, 756, 756, 757, 757, 758, 759, 759, 761, 762, 763, 763, 764, 
      765, 766, 767, 768, 768, 770, 772, 772, 773, 774, 775, 777, 779, 780, 781, 782, 782, 783, 784, 
      785, 786, 788, 790, 791, 792, 792, 795, 797, 798, 798, 799, 802, 803, 804, 804, 806, 807, 807, 
      808, 810, 810, 812, 812, 813, 813, 815, 817, 817, 818, 818, 819, 819, 821, 822, 823, 824, 825, 
      826, 827, 827, 828, 829, 830, 830, 831, 833, 833, 834, 835, 835, 837, 838, 839, 841, 843, 844, 
      845, 846, 847, 848, 848, 849, 850, 852, 852, 853, 854, 855, 856, 857, 858, 860, 862, 863, 863, 
      864, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 873, 876, 877, 877, 879, 879, 880, 883, 
      885, 885, 887, 888, 888, 890, 890, 894, 894, 896, 896, 897, 898, 899, 900, 901, 902, 903, 904, 
      905, 906, 906, 907, 909, 909, 910, 912, 912, 913, 914, 917, 918, 919, 919, 920, 921, 922, 923, 
      924, 925, 926, 928, 928, 929, 929, 931, 932, 933, 934, 934, 935, 937, 937, 939, 940, 941, 942, 
      943, 944, 944, 945, 945, 948, 950, 952, 953, 955, 956, 956, 957, 957, 958, 958, 960, 960, 961, 
      963, 964, 965, 966, 968, 969, 970, 971, 974, 974, 975, 976, 978, 979, 980, 980, 981, 982, 983, 
      986, 988, 990, 992, 992, 993, 994, 995, 996, 998, 999, 1000, 1000, 1002, 1002, 1003, 1004, 1006, 
      1006, 1007, 1008, 1009, 1010, 1012, 1015, 1015, 1016, 1017, 1018, 1020, 1021, 1021, 1022, 1023, 
      1023, 1024, 1024, 1025, 1026, 1027, 1028, 1028, 1029, 1032, 1032, 1033, 1034, 1035, 1036, 1037, 
      1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1048, 1051, 1052, 1053, 1054, 1055, 
      1056, 1057, 1057, 1058, 1058, 1059, 1059, 1060, 1060, 1061, 1062, 1063, 1065, 1067, 1068, 1070, 
      1071, 1072, 1073, 1073, 1075, 1075, 1076, 1076, 1078, 1079, 1079, 1080, 1080, 1081, 1082, 1082, 
      1083, 1083, 1084, 1085, 1087, 1087, 1088, 1091, 1091, 1092, 1093, 1095, 1096, 1096, 1097, 1098, 
      1099, 1100, 1100, 1101, 1102, 1103, 1104, 1105, 1105, 1107, 1109, 1110, 1110, 1111, 1112, 1113, 
      1114, 1115, 1117, 1118, 1118, 1119, 1121, 1122, 1124, 1125, 1126, 1127, 1128, 1129, 1129, 1131, 
      1132, 1133, 1134, 1136, 1136, 1137, 1138, 1138, 1139, 1139, 1141, 1142, 1143, 1144, 1147, 1149, 
      1152, 1154, 1155, 1156, 1157, 1158, 1159, 1161, 1163, 1164, 1164, 1165, 1167, 1167, 1168, 1171, 
      1171, 1172, 1173, 1176, 1177, 1178, 1178, 1180, 1180, 1181, 1181, 1182, 1183, 1183, 1184, 1186, 
      1187, 1188, 1189, 1189, 1190, 1192, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1200, 1201, 1202, 
      1203, 1204, 1205, 1205, 1206, 1207, 1208, 1209, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 
      1217, 1217, 1218, 1219, 1220, 1221, 1222, 1222, 1223, 1225, 1225, 1226, 1227, 1228, 1229, 1230, 
      1231, 1232, 1233, 1235, 1236, 1237, 1238, 1239, 1240, 1240, 1241, 1241, 1244, 1244, 1245, 1245, 
      1246, 1248, 1249, 1250, 1252, 1253, 1254, 1254, 1255, 1256, 1257, 1258, 1260, 1261, 1262, 1262, 
      1263, 1265, 1266, 1266, 1267, 1268, 1268, 1269, 1270, 1270, 1271, 1272, 1273, 1274, 1275, 1275, 
      1277, 1277, 1278, 1278, 1279, 1280, 1280, 1281, 1282, 1284, 1285, 1285, 1286, 1286, 1287, 1289, 
      1292, 1292, 1293, 1295, 1297, 1298, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1304, 1305, 1306, 
      1307, 1308, 1308, 1309, 1311, 1312, 1315, 1318, 1319, 1319, 1320, 1320, 1322, 1323, 1326, 1328, 
      1329, 1330, 1331, 1332, 1333, 1334, 1335, 1335, 1336, 1336, 1337, 1338, 1338, 1339, 1340, 1341, 
      1343, 1344, 1344, 1345, 1345, 1346, 1347, 1349, 1350, 1351, 1351, 1352, 1354, 1354, 1355, 1356, 
      1356, 1357, 1358, 1359, 1361, 1363, 1365, 1366, 1367, 1368, 1369, 1370, 1370, 1371, 1372, 1373, 
      1374, 1376, 1377, 1377, 1378, 1378, 1380, 1381, 1384, 1385, 1386, 1387, 1388, 1388, 1389, 1390, 
      1391, 1392, 1393, 1394, 1395, 1396, 1396, 1397, 1398, 1398, 1399, 1400, 1401, 1402, 1402, 1403, 
      1404, 1408, 1409, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1415, 1418, 1419, 1420, 1421, 1422, 
      1423, 1424, 1424, 1425, 1426, 1428, 1429, 1431, 1433, 1434, 1434, 1435, 1436, 1437, 1438, 1439, 
      1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1447, 1448, 1449, 1450, 1451, 1452, 1455, 1456, 
      1457, 1457, 1458, 1458, 1459, 1460, 1461, 1461, 1463, 1464, 1465, 1466, 1468, 1468, 1469, 1470, 
      1470, 1471, 1473, 1475, 1475, 1476, 1477, 1478, 1479, 1479, 1480, 1481, 1483, 1485, 1486, 1487, 
      1487, 1488, 1489, 1490, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1498, 1499, 1500, 1501, 1502, 
      1503, 1504, 1505, 1506, 1507, 1508, 1509, 1511, 1513, 1514, 1514, 1515, 1518, 1518, 1519, 1519, 
      1520, 1521, 1522, 1522, 1524, 1524, 1525, 1525, 1526, 1527, 1528, 1528, 1529, 1530, 1530, 1531, 
      1532, 1532, 1534, 1535, 1536, 1538, 1538, 1540, 1541, 1545, 1547, 1547, 1548, 1549, 1550, 1552, 
      1553, 1554, 1555, 1556, 1557, 1558, 1560, 1560, 1562, 1563, 1564, 1565, 1566, 1567, 1567, 1568, 
      1569, 1571, 1573, 1573, 1574, 1574, 1575, 1576, 1576, 1579, 1580, 1582, 1583, 1584, 1585, 1586, 
      1586, 1587, 1587, 1588, 1588, 1589, 1590, 1591, 1591, 1593, 1593, 1594, 1594, 1595, 1596, 1597, 
      1597, 1598, 1600, 1602, 1602, 1603, 1605, 1605, 1606, 1607, 1607, 1608, 1609, 1609, 1610, 1611, 
      1613, 1614, 1617, 1617, 1620, 1621, 1622, 1622, 1623, 1624, 1624, 1625, 1628, 1628, 1630, 1631, 
      1632, 1633, 1633, 1634, 1635, 1636, 1637, 1637, 1638, 1639, 1640, 1641, 1641, 1643, 1645, 1645, 
      1646, 1648, 1649, 1649, 1650, 1652, 1656, 1656, 1657, 1659, 1661, 1662, 1664, 1667, 1668, 1669, 
      1670, 1671, 1672, 1672, 1673, 1674, 1675, 1676, 1676, 1677, 1678, 1680, 1680, 1681, 1682, 1683, 
      1684, 1685, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1694, 1694, 1695, 1695, 1696, 1697, 
      1698, 1699, 1699, 1700, 1702, 1703, 1704, 1704, 1705, 1707, 1708, 1710, 1712, 1714, 1715, 1716, 
      1717, 1718, 1719, 1719, 1720, 1720, 1721, 1723, 1723, 1724, 1725, 1726, 1729, 1731, 1732, 1732, 
      1733, 1735, 1735, 1737, 1738, 1738, 1739, 1741, 1742, 1743, 1744, 1745, 1745, 1747, 1748, 1748, 
      1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1759, 1759, 1760, 1760, 1761, 1762, 1763, 
      1764, 1764, 1765, 1766, 1767, 1769, 1770, 1772, 1774, 1776, 1776, 1777, 1778, 1779, 1780, 1780, 
      1781, 1781, 1782, 1783, 1784, 1784, 1785, 1786, 1786, 1787, 1788, 1788, 1790, 1791, 1791, 1792, 
      1793, 1794, 1794, 1795, 1796, 1797, 1799, 1800, 1801, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 
      1808, 1809, 1811, 1811, 1814, 1815, 1817, 1818, 1820, 1821, 1822, 1823, 1824, 1824, 1825, 1826, 
      1826, 1827, 1828, 1829, 1829, 1830, 1830, 1831, 1833, 1834, 1835, 1836, 1837, 1838, 1838, 1839, 
      1841, 1844, 1844, 1845, 1845, 1846, 1847, 1847, 1848, 1848, 1849, 1849, 1850, 1852, 1852, 1854, 
      1855, 1856, 1857, 1858, 1859, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1870, 
      1871, 1871, 1873, 1873, 1874, 1875, 1878, 1879, 1881, 1882, 1884, 1884, 1885, 1886, 1886, 1887, 
      1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1902, 1903, 1904, 
      1905, 1906, 1907, 1908, 1909, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 
      1922, 1922, 1923, 1924, 1924, 1925, 1925, 1926, 1926, 1927, 1928, 1929, 1930, 1930, 1931, 1931, 
      1932, 1933, 1934, 1936, 1937, 1938, 1939, 1940, 1941, 1943, 1946, 1947, 1949, 1950, 1951, 1952, 
      1954, 1955, 1957, 1958, 1959, 1960, 1962, 1963, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1969, 
      1970, 1970, 1971, 1973, 1974, 1975, 1975, 1977, 1979, 1979, 1980, 1981, 1981, 1982, 1983, 1984, 
      1985, 1986, 1987, 1988, 1989, 1990, 1991, 1993, 1994, 1994, 1995, 1996, 1997, 1998, 1999, 1999, 
      2000, 2001, 2001, 2002, 2004, 2005, 2005, 2006, 2007, 2008, 2008, 2009, 2009, 2010, 2010, 2012, 
      2012, 2013, 2013, 2014, 2014, 2015, 2016, 2017, 2018, 2019, 2021, 2022, 2023, 2025, 2027, 2028, 
      2030, 2030, 2031, 2032, 2032, 2033, 2034, 2035, 2037, 2038, 2039, 2040, 2040, 2041, 2041, 2043, 
      2044, 2044, 2045, 2045, 2047, 2047, 2048, 2049, 2049, 2050, 2050, 2051, 2052, 2053, 2054, 2055, 
      2056, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2064, 2065, 2066, 2067, 2068, 2069, 
      2069, 2070, 2071, 2072, 2073, 2074, 2074, 2075, 2076, 2076, 2077, 2078, 2079, 2082, 2082, 2085, 
      2086, 2087, 2087, 2088, 2088, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2096, 2097, 2097, 2098, 
      2100, 2100, 2101, 2103, 2104, 2106, 2106, 2107, 2108, 2109, 2111, 2112, 2112, 2113, 2113, 2114, 
      2115, 2116, 2118, 2118, 2119, 2121, 2121, 2122, 2122, 2123, 2124, 2125, 2127, 2129, 2130, 2130, 
      2132, 2133, 2134, 2135, 2136, 2138, 2139, 2140, 2141, 2143, 2144, 2145, 2147, 2148, 2148, 2149, 
      2149, 2150, 2150, 2152, 2153, 2154, 2155, 2155, 2156, 2157, 2158, 2159, 2160, 2162, 2163, 2163, 
      2164, 2164, 2165, 2165, 2166, 2167, 2167, 2168, 2169, 2170, 2171, 2171, 2172, 2173, 2173, 2174, 
      2174, 2175, 2175, 2176, 2176, 2177, 2179, 2180, 2180, 2181, 2181, 2182, 2183, 2185, 2187, 2188, 
      2188, 2189, 2190, 2192, 2193, 2194, 2196, 2197, 2197, 2198, 2199, 2200, 2201, 2203, 2204, 2205, 
      2208, 2209, 2209, 2210, 2212, 2213, 2214, 2215, 2216, 2219, 2220, 2222, 2223, 2223, 2224, 2225, 
      2225, 2228, 2229, 2230, 2230, 2231, 2232, 2234, 2235, 2236, 2237, 2237, 2239, 2239, 2240, 2241, 
      2242, 2243, 2243, 2245, 2246, 2246, 2247, 2249, 2250, 2252, 2252, 2253, 2254, 2255, 2256, 2257, 
      2258, 2259, 2259, 2260, 2261, 2261, 2263, 2264, 2265, 2267, 2267, 2268, 2270, 2271, 2271, 2272, 
      2273, 2274, 2274, 2275, 2275, 2276, 2276, 2278, 2279, 2281, 2282, 2282, 2283, 2284, 2284, 2285, 
      2285, 2286, 2287, 2288, 2289, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2296, 2297, 2298, 
      2300, 2301, 2301, 2303, 2304, 2304, 2305, 2305, 2306, 2309, 2309, 2310, 2311, 2311, 2313, 2314, 
      2315, 2317, 2318, 2318, 2319, 2321, 2323, 2324, 2325, 2326, 2326, 2327, 2328, 2328, 2329, 2330, 
      2332, 2332, 2333, 2334, 2335, 2336, 2337, 2339, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 
      2350, 2351, 2352, 2353, 2354, 2354, 2355, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2363, 2364, 
      2364, 2365, 2366, 2366, 2367, 2368, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 
      2377, 2378, 2378, 2379, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2388, 2389, 2389, 2390, 2390, 
      2391, 2391, 2393, 2395, 2396, 2398, 2400, 2401, 2402, 2402, 2404, 2405, 2406, 2407, 2408, 2409, 
      2410, 2410, 2411, 2412, 2413, 2416, 2417, 2417, 2419, 2421, 2422, 2424, 2425, 2426, 2427, 2428, 
      2429, 2430, 2431, 2433, 2434, 2434, 2435, 2436, 2436, 2439, 2440, 2442, 2444, 2446, 2446, 2447, 
      2448, 2449, 2450, 2451, 2452, 2452, 2453, 2454, 2457, 2458, 2459, 2461, 2462, 2462, 2463, 2463, 
      2464, 2466, 2467, 2468, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2475, 2477, 2478, 2479, 
      2480, 2481, 2482, 2483, 2484, 2484, 2485, 2485 ] ]