[ [ 2, 11, 33, 65, 130, 218, 270, 447, 468, 564, 617, 741, 775, 812, 976, 1097, 1213, 1266, 1320, 1382, 
      1392, 1451, 1495, 1509, 1583, 1584, 1793, 1872, 1885, 1950, 1986, 2141, 2160, 2213, 2375 ], 
  [ 2, 5, 5, 6, 6, 9, 9, 10, 10, 11, 12, 12, 14, 16, 16, 17, 17, 20, 22, 23, 23, 24, 27, 27, 28, 29, 
      30, 30, 32, 33, 38, 40, 41, 43, 43, 44, 44, 45, 45, 47, 48, 50, 51, 52, 53, 56, 62, 63, 63, 64, 
      65, 67, 67, 68, 68, 69, 69, 72, 74, 77, 79, 79, 80, 81, 82, 82, 84, 85, 85, 86, 87, 88, 88, 89, 
      91, 96, 101, 101, 103, 103, 105, 107, 107, 108, 109, 109, 114, 116, 117, 117, 118, 119, 119, 120, 
      121, 122, 123, 123, 124, 125, 127, 127, 128, 128, 129, 130, 133, 134, 134, 136, 136, 137, 137, 
      138, 138, 139, 141, 143, 143, 144, 147, 151, 151, 153, 154, 154, 157, 157, 159, 161, 162, 162, 
      163, 164, 166, 167, 168, 168, 169, 169, 170, 170, 172, 172, 173, 173, 176, 177, 177, 179, 179, 
      182, 182, 183, 185, 187, 188, 188, 189, 189, 190, 190, 191, 192, 192, 193, 193, 194, 194, 196, 
      197, 200, 201, 201, 202, 202, 205, 205, 207, 207, 209, 210, 210, 211, 211, 212, 212, 214, 215, 
      215, 216, 216, 217, 218, 219, 219, 220, 221, 222, 222, 224, 225, 226, 226, 227, 227, 229, 231, 
      231, 232, 233, 235, 235, 238, 238, 239, 241, 241, 242, 243, 245, 246, 246, 248, 250, 251, 252, 
      252, 253, 253, 256, 256, 257, 258, 259, 259, 260, 260, 261, 262, 262, 263, 264, 264, 265, 265, 
      266, 268, 268, 270, 271, 271, 273, 273, 274, 274, 275, 276, 276, 277, 278, 281, 282, 283, 284, 
      284, 285, 286, 286, 288, 288, 289, 289, 290, 292, 292, 294, 295, 295, 296, 297, 297, 298, 298, 
      300, 300, 302, 302, 305, 305, 308, 309, 309, 310, 310, 311, 313, 313, 315, 316, 316, 317, 318, 
      319, 319, 320, 322, 323, 325, 325, 326, 328, 328, 330, 332, 333, 333, 335, 336, 336, 338, 339, 
      339, 342, 345, 345, 346, 346, 347, 347, 351, 351, 352, 353, 353, 354, 354, 356, 356, 360, 360, 
      362, 362, 365, 366, 368, 368, 369, 370, 370, 371, 371, 373, 375, 376, 377, 378, 378, 379, 380, 
      380, 382, 382, 383, 384, 384, 389, 390, 390, 392, 393, 394, 395, 395, 396, 396, 397, 397, 398, 
      398, 400, 401, 401, 402, 403, 405, 406, 406, 408, 410, 410, 411, 411, 413, 414, 414, 415, 415, 
      416, 417, 417, 418, 421, 421, 423, 423, 424, 424, 426, 426, 427, 427, 428, 429, 431, 431, 432, 
      432, 433, 433, 437, 437, 439, 440, 440, 442, 443, 443, 444, 447, 448, 448, 449, 449, 450, 450, 
      451, 452, 453, 453, 454, 454, 455, 457, 459, 460, 460, 461, 461, 462, 464, 464, 466, 466, 468, 
      469, 471, 472, 472, 474, 474, 475, 481, 481, 484, 486, 490, 491, 491, 492, 492, 493, 493, 496, 
      496, 497, 498, 498, 500, 502, 503, 504, 504, 506, 507, 507, 508, 510, 511, 513, 513, 514, 514, 
      516, 517, 517, 518, 518, 519, 519, 520, 521, 522, 522, 523, 523, 524, 525, 525, 526, 526, 527, 
      527, 528, 528, 529, 530, 531, 532, 532, 533, 534, 534, 535, 535, 540, 543, 543, 544, 547, 547, 
      549, 549, 550, 550, 551, 551, 553, 553, 554, 556, 558, 558, 559, 560, 561, 562, 562, 563, 564, 
      565, 565, 567, 567, 569, 569, 570, 570, 571, 572, 573, 573, 574, 574, 575, 576, 578, 578, 579, 
      579, 581, 582, 582, 583, 583, 586, 586, 588, 589, 589, 591, 592, 593, 593, 594, 594, 595, 596, 
      596, 597, 599, 599, 600, 600, 601, 601, 603, 603, 604, 604, 605, 605, 606, 606, 608, 608, 610, 
      612, 612, 613, 613, 614, 614, 615, 615, 616, 617, 619, 619, 620, 621, 622, 622, 623, 624, 624, 
      625, 625, 626, 627, 628, 628, 630, 633, 633, 634, 635, 635, 636, 637, 637, 638, 641, 642, 643, 
      644, 646, 646, 648, 648, 649, 649, 650, 651, 651, 652, 652, 653, 654, 654, 655, 657, 658, 658, 
      660, 660, 661, 663, 663, 666, 666, 667, 667, 668, 668, 669, 670, 670, 671, 672, 672, 673, 673, 
      677, 677, 678, 681, 683, 683, 684, 685, 685, 687, 689, 690, 692, 693, 694, 694, 696, 696, 697, 
      699, 699, 702, 702, 703, 703, 704, 705, 706, 706, 707, 709, 709, 713, 714, 715, 715, 716, 716, 
      717, 718, 718, 719, 719, 720, 721, 722, 722, 723, 725, 725, 728, 728, 729, 729, 730, 731, 732, 
      732, 733, 734, 734, 735, 736, 736, 737, 738, 738, 739, 739, 741, 743, 743, 744, 744, 745, 746, 
      746, 748, 749, 749, 752, 753, 753, 754, 755, 755, 756, 756, 759, 761, 762, 764, 764, 765, 766, 
      768, 770, 770, 771, 773, 773, 774, 774, 775, 776, 777, 778, 778, 782, 782, 785, 785, 788, 788, 
      791, 792, 793, 793, 795, 797, 797, 798, 801, 802, 803, 804, 805, 806, 806, 808, 811, 812, 814, 
      815, 815, 816, 818, 818, 819, 820, 820, 823, 824, 826, 826, 827, 829, 830, 832, 833, 833, 834, 
      834, 836, 837, 838, 838, 839, 840, 840, 841, 842, 842, 843, 843, 844, 845, 845, 847, 850, 850, 
      851, 852, 854, 854, 856, 857, 857, 859, 859, 860, 860, 864, 864, 866, 867, 868, 868, 869, 870, 
      870, 872, 873, 875, 878, 879, 879, 880, 880, 881, 882, 882, 886, 887, 887, 890, 891, 891, 892, 
      892, 894, 895, 895, 896, 897, 897, 899, 901, 902, 905, 905, 907, 907, 908, 908, 910, 910, 911, 
      912, 912, 913, 915, 917, 917, 918, 918, 921, 921, 922, 922, 923, 925, 926, 929, 929, 932, 934, 
      935, 935, 936, 938, 938, 939, 939, 940, 945, 946, 946, 947, 947, 948, 948, 949, 949, 950, 951, 
      951, 952, 953, 954, 954, 957, 959, 959, 960, 960, 961, 961, 962, 963, 963, 965, 966, 971, 971, 
      972, 973, 974, 976, 977, 977, 978, 978, 979, 979, 980, 981, 982, 982, 984, 986, 986, 987, 987, 
      988, 988, 989, 989, 991, 992, 992, 993, 996, 997, 997, 998, 998, 999, 1000, 1002, 1003, 1003, 
      1004, 1004, 1005, 1005, 1006, 1007, 1008, 1008, 1010, 1010, 1011, 1011, 1012, 1015, 1015, 1018, 
      1019, 1019, 1020, 1022, 1023, 1023, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1028, 
      1031, 1032, 1032, 1033, 1033, 1034, 1034, 1035, 1036, 1036, 1037, 1039, 1039, 1040, 1040, 1041, 
      1041, 1042, 1043, 1044, 1045, 1046, 1047, 1047, 1048, 1049, 1049, 1050, 1050, 1051, 1051, 1053, 
      1054, 1056, 1056, 1057, 1058, 1058, 1061, 1062, 1062, 1063, 1064, 1064, 1065, 1067, 1067, 1068, 
      1068, 1069, 1070, 1070, 1071, 1071, 1072, 1072, 1074, 1076, 1077, 1077, 1078, 1079, 1081, 1081, 
      1082, 1082, 1083, 1085, 1085, 1086, 1086, 1087, 1087, 1088, 1088, 1089, 1090, 1090, 1091, 1091, 
      1093, 1093, 1095, 1095, 1096, 1097, 1098, 1100, 1100, 1101, 1103, 1103, 1104, 1105, 1105, 1110, 
      1112, 1112, 1113, 1114, 1114, 1115, 1115, 1116, 1120, 1122, 1122, 1123, 1125, 1128, 1130, 1133, 
      1133, 1135, 1135, 1136, 1140, 1140, 1142, 1142, 1144, 1145, 1146, 1147, 1147, 1149, 1150, 1150, 
      1151, 1152, 1152, 1153, 1153, 1155, 1157, 1157, 1158, 1158, 1159, 1162, 1162, 1163, 1164, 1164, 
      1165, 1165, 1166, 1169, 1169, 1170, 1171, 1171, 1172, 1172, 1173, 1173, 1175, 1175, 1176, 1176, 
      1177, 1178, 1181, 1187, 1188, 1188, 1189, 1190, 1191, 1191, 1192, 1192, 1193, 1193, 1194, 1194, 
      1196, 1197, 1197, 1198, 1198, 1200, 1200, 1201, 1202, 1203, 1204, 1206, 1208, 1208, 1209, 1210, 
      1210, 1211, 1211, 1212, 1213, 1216, 1217, 1217, 1220, 1221, 1222, 1222, 1223, 1223, 1228, 1228, 
      1236, 1236, 1237, 1237, 1238, 1241, 1241, 1242, 1242, 1243, 1247, 1248, 1248, 1250, 1250, 1251, 
      1252, 1252, 1254, 1255, 1255, 1256, 1257, 1257, 1258, 1258, 1259, 1259, 1263, 1266, 1267, 1268, 
      1268, 1269, 1269, 1270, 1271, 1272, 1273, 1273, 1275, 1275, 1276, 1277, 1278, 1279, 1279, 1280, 
      1280, 1281, 1285, 1286, 1288, 1288, 1289, 1289, 1290, 1290, 1291, 1291, 1293, 1293, 1294, 1296, 
      1296, 1298, 1299, 1299, 1300, 1300, 1301, 1301, 1302, 1303, 1303, 1304, 1305, 1305, 1309, 1309, 
      1311, 1311, 1313, 1313, 1314, 1315, 1315, 1316, 1317, 1317, 1318, 1320, 1322, 1322, 1324, 1326, 
      1327, 1327, 1330, 1330, 1331, 1331, 1333, 1333, 1334, 1335, 1336, 1336, 1337, 1339, 1341, 1341, 
      1342, 1342, 1343, 1345, 1345, 1346, 1346, 1347, 1347, 1349, 1350, 1350, 1351, 1351, 1352, 1353, 
      1353, 1354, 1354, 1356, 1357, 1358, 1358, 1359, 1360, 1361, 1362, 1362, 1363, 1364, 1367, 1368, 
      1371, 1372, 1374, 1376, 1378, 1378, 1379, 1382, 1383, 1385, 1385, 1386, 1387, 1389, 1390, 1390, 
      1391, 1391, 1392, 1397, 1399, 1399, 1400, 1401, 1401, 1402, 1403, 1403, 1404, 1405, 1405, 1407, 
      1407, 1408, 1408, 1409, 1409, 1411, 1412, 1413, 1414, 1415, 1416, 1416, 1417, 1418, 1419, 1419, 
      1420, 1420, 1421, 1421, 1422, 1422, 1424, 1426, 1427, 1427, 1429, 1429, 1430, 1430, 1431, 1431, 
      1432, 1433, 1433, 1435, 1435, 1436, 1438, 1438, 1441, 1443, 1443, 1444, 1445, 1446, 1447, 1447, 
      1450, 1450, 1451, 1452, 1454, 1454, 1455, 1455, 1458, 1459, 1460, 1460, 1461, 1461, 1462, 1463, 
      1463, 1464, 1468, 1468, 1469, 1469, 1471, 1472, 1472, 1474, 1474, 1476, 1476, 1478, 1479, 1480, 
      1480, 1483, 1485, 1485, 1488, 1490, 1491, 1491, 1492, 1492, 1493, 1493, 1494, 1494, 1495, 1496, 
      1497, 1498, 1500, 1501, 1501, 1502, 1503, 1503, 1505, 1505, 1506, 1506, 1507, 1507, 1508, 1509, 
      1510, 1510, 1511, 1511, 1512, 1513, 1516, 1517, 1519, 1520, 1520, 1521, 1521, 1522, 1525, 1527, 
      1528, 1530, 1530, 1532, 1533, 1533, 1534, 1535, 1535, 1537, 1539, 1539, 1540, 1543, 1544, 1545, 
      1546, 1546, 1547, 1549, 1550, 1550, 1552, 1553, 1554, 1555, 1555, 1557, 1562, 1565, 1570, 1570, 
      1571, 1571, 1573, 1575, 1575, 1576, 1576, 1577, 1577, 1578, 1580, 1582, 1582, 1583, 1584, 1585, 
      1586, 1586, 1587, 1587, 1588, 1588, 1590, 1590, 1591, 1591, 1593, 1594, 1594, 1595, 1596, 1596, 
      1597, 1600, 1600, 1601, 1601, 1602, 1603, 1605, 1605, 1606, 1607, 1608, 1608, 1609, 1610, 1610, 
      1611, 1613, 1613, 1615, 1615, 1616, 1617, 1618, 1622, 1624, 1624, 1625, 1626, 1627, 1628, 1628, 
      1630, 1630, 1631, 1631, 1632, 1632, 1633, 1636, 1637, 1637, 1638, 1640, 1641, 1641, 1644, 1644, 
      1646, 1646, 1647, 1649, 1650, 1651, 1651, 1652, 1653, 1654, 1655, 1655, 1656, 1656, 1658, 1659, 
      1660, 1660, 1661, 1661, 1664, 1665, 1665, 1666, 1668, 1669, 1670, 1670, 1672, 1673, 1674, 1675, 
      1677, 1678, 1680, 1683, 1683, 1684, 1684, 1686, 1686, 1687, 1689, 1690, 1692, 1692, 1693, 1695, 
      1695, 1698, 1699, 1699, 1702, 1702, 1703, 1705, 1705, 1706, 1708, 1708, 1709, 1709, 1710, 1710, 
      1711, 1711, 1712, 1712, 1715, 1715, 1716, 1717, 1717, 1718, 1718, 1719, 1719, 1721, 1721, 1722, 
      1725, 1725, 1726, 1727, 1728, 1729, 1730, 1730, 1732, 1732, 1735, 1737, 1738, 1738, 1739, 1740, 
      1741, 1741, 1742, 1744, 1744, 1745, 1748, 1750, 1751, 1755, 1755, 1759, 1759, 1761, 1761, 1762, 
      1764, 1764, 1765, 1766, 1768, 1768, 1769, 1769, 1772, 1772, 1773, 1774, 1774, 1775, 1775, 1777, 
      1777, 1778, 1778, 1779, 1779, 1781, 1782, 1782, 1784, 1785, 1787, 1790, 1792, 1792, 1793, 1796, 
      1797, 1798, 1800, 1800, 1801, 1803, 1805, 1807, 1810, 1811, 1814, 1815, 1817, 1817, 1818, 1819, 
      1820, 1820, 1821, 1821, 1822, 1823, 1823, 1825, 1825, 1826, 1826, 1827, 1828, 1828, 1832, 1832, 
      1834, 1834, 1835, 1835, 1837, 1838, 1838, 1839, 1840, 1842, 1842, 1843, 1843, 1845, 1846, 1846, 
      1848, 1851, 1854, 1855, 1855, 1856, 1856, 1858, 1859, 1859, 1860, 1862, 1864, 1867, 1867, 1868, 
      1868, 1869, 1870, 1871, 1871, 1872, 1873, 1874, 1874, 1876, 1876, 1878, 1881, 1884, 1884, 1885, 
      1886, 1886, 1887, 1887, 1888, 1889, 1889, 1893, 1894, 1895, 1896, 1897, 1897, 1898, 1898, 1901, 
      1901, 1904, 1905, 1905, 1906, 1906, 1909, 1911, 1912, 1913, 1915, 1915, 1916, 1918, 1918, 1919, 
      1920, 1921, 1922, 1925, 1926, 1927, 1927, 1928, 1930, 1930, 1931, 1932, 1932, 1934, 1937, 1937, 
      1938, 1940, 1941, 1941, 1943, 1943, 1947, 1948, 1950, 1951, 1952, 1954, 1957, 1957, 1959, 1961, 
      1961, 1962, 1965, 1965, 1966, 1967, 1969, 1969, 1971, 1974, 1974, 1975, 1975, 1976, 1976, 1978, 
      1980, 1980, 1981, 1981, 1983, 1983, 1984, 1984, 1986, 1987, 1987, 1988, 1989, 1990, 1990, 1991, 
      1991, 1993, 1994, 1995, 1997, 1999, 2000, 2000, 2001, 2003, 2004, 2004, 2005, 2007, 2007, 2008, 
      2008, 2009, 2010, 2010, 2011, 2011, 2012, 2012, 2014, 2014, 2015, 2017, 2017, 2018, 2020, 2020, 
      2021, 2021, 2022, 2022, 2023, 2024, 2024, 2025, 2026, 2026, 2027, 2027, 2028, 2028, 2029, 2030, 
      2030, 2031, 2034, 2035, 2035, 2036, 2037, 2037, 2038, 2039, 2040, 2040, 2041, 2041, 2042, 2042, 
      2044, 2044, 2045, 2046, 2047, 2049, 2049, 2051, 2052, 2052, 2053, 2054, 2054, 2055, 2055, 2057, 
      2057, 2059, 2059, 2060, 2060, 2064, 2067, 2067, 2068, 2069, 2069, 2070, 2070, 2071, 2072, 2072, 
      2073, 2073, 2074, 2074, 2075, 2075, 2076, 2078, 2079, 2079, 2080, 2080, 2081, 2082, 2082, 2083, 
      2083, 2085, 2085, 2086, 2086, 2090, 2090, 2091, 2092, 2092, 2093, 2094, 2096, 2097, 2097, 2098, 
      2098, 2099, 2101, 2103, 2103, 2104, 2104, 2105, 2107, 2109, 2111, 2111, 2113, 2115, 2115, 2116, 
      2117, 2117, 2118, 2119, 2119, 2120, 2121, 2122, 2122, 2124, 2127, 2128, 2128, 2130, 2134, 2134, 
      2137, 2137, 2138, 2138, 2140, 2141, 2143, 2143, 2144, 2144, 2145, 2145, 2146, 2146, 2147, 2147, 
      2148, 2149, 2150, 2152, 2152, 2153, 2154, 2154, 2156, 2157, 2158, 2160, 2161, 2163, 2163, 2164, 
      2165, 2166, 2172, 2174, 2178, 2179, 2180, 2180, 2181, 2181, 2183, 2186, 2191, 2191, 2193, 2193, 
      2194, 2194, 2195, 2195, 2196, 2196, 2197, 2198, 2200, 2205, 2207, 2207, 2210, 2210, 2211, 2212, 
      2213, 2216, 2217, 2221, 2224, 2225, 2225, 2226, 2226, 2227, 2227, 2228, 2228, 2230, 2231, 2231, 
      2233, 2233, 2235, 2237, 2237, 2238, 2239, 2239, 2240, 2240, 2243, 2243, 2244, 2244, 2245, 2245, 
      2250, 2251, 2253, 2253, 2254, 2254, 2255, 2256, 2256, 2258, 2258, 2259, 2263, 2264, 2265, 2265, 
      2266, 2266, 2267, 2267, 2268, 2269, 2269, 2272, 2273, 2274, 2275, 2275, 2276, 2276, 2280, 2280, 
      2281, 2284, 2285, 2286, 2286, 2288, 2291, 2292, 2292, 2293, 2293, 2294, 2294, 2295, 2295, 2296, 
      2297, 2297, 2298, 2299, 2300, 2301, 2301, 2302, 2302, 2304, 2304, 2305, 2305, 2307, 2307, 2308, 
      2308, 2310, 2310, 2311, 2313, 2313, 2314, 2315, 2316, 2316, 2322, 2322, 2323, 2324, 2324, 2325, 
      2327, 2327, 2330, 2330, 2331, 2332, 2332, 2333, 2334, 2334, 2335, 2336, 2338, 2338, 2341, 2342, 
      2343, 2346, 2346, 2347, 2347, 2348, 2348, 2349, 2350, 2353, 2353, 2354, 2356, 2358, 2358, 2359, 
      2360, 2363, 2363, 2365, 2365, 2366, 2366, 2368, 2370, 2371, 2375, 2376, 2376, 2379, 2380, 2380, 
      2381, 2381, 2383, 2386, 2389, 2389, 2390, 2391, 2391, 2392, 2393, 2393, 2396, 2397, 2398, 2399, 
      2401, 2401, 2402, 2402, 2404, 2405, 2405, 2406, 2406, 2407, 2407, 2408, 2408, 2409, 2409, 2410, 
      2414, 2414, 2415, 2416, 2417, 2417, 2418, 2418, 2419, 2419, 2421, 2422, 2422, 2423, 2423, 2426, 
      2427, 2428, 2429, 2430, 2430, 2431, 2432, 2432, 2433, 2434, 2434, 2435, 2435, 2436, 2437, 2438, 
      2438, 2439, 2440, 2440, 2441, 2442, 2442, 2444, 2445, 2446, 2447, 2447, 2448, 2449, 2450, 2450, 
      2451, 2451, 2452, 2454, 2454, 2456, 2458, 2460, 2460, 2461, 2463, 2463, 2466, 2466, 2467, 2467, 
      2468, 2468, 2470, 2471, 2472, 2472, 2473, 2473, 2474, 2474, 2475, 2477, 2478, 2478, 2479, 2480, 
      2480, 2481, 2485, 2485, 2486, 2487, 2488, 2488, 2489, 2490, 2491, 2493, 2493, 2494, 2494, 2495, 
      2495, 2496, 2496, 2498, 2498, 2499, 2499, 2500, 2501, 2502, 2504, 2505, 2506, 2507, 2507, 2508, 
      2508, 2510, 2511, 2512, 2512, 2513, 2514, 2516, 2518, 2518, 2520 ] ]