[ [ 10, 36, 151, 170, 285, 299, 334, 451, 524, 534, 557, 658, 691, 694, 716, 723, 836, 885, 975, 979, 
      1008, 1061, 1109, 1206, 1284, 1348, 1434, 1584, 1611, 1720, 1724, 1925, 1963 ], 
  [ 1, 2, 2, 3, 4, 5, 7, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 
      29, 30, 30, 31, 32, 34, 35, 35, 36, 37, 38, 39, 41, 43, 44, 45, 47, 50, 51, 52, 53, 54, 56, 57, 
      58, 59, 60, 61, 62, 63, 63, 64, 65, 66, 66, 67, 68, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 
      81, 82, 83, 85, 86, 86, 87, 87, 89, 89, 90, 91, 92, 92, 93, 94, 96, 97, 98, 99, 99, 100, 103, 
      105, 106, 108, 108, 109, 109, 110, 110, 111, 112, 113, 113, 114, 115, 116, 117, 118, 119, 120, 
      120, 121, 121, 122, 122, 123, 124, 125, 125, 127, 127, 128, 129, 129, 130, 131, 131, 133, 134, 
      135, 137, 138, 139, 141, 142, 143, 144, 145, 147, 149, 150, 151, 152, 152, 153, 154, 156, 157, 
      158, 158, 159, 160, 161, 161, 162, 164, 165, 165, 166, 168, 169, 171, 172, 173, 174, 174, 175, 
      178, 179, 181, 182, 182, 183, 184, 186, 187, 189, 190, 190, 193, 194, 195, 196, 197, 199, 199, 
      200, 201, 202, 203, 204, 204, 205, 205, 208, 209, 210, 210, 212, 213, 214, 214, 215, 215, 216, 
      217, 218, 219, 220, 221, 221, 222, 223, 225, 227, 227, 228, 228, 229, 230, 233, 234, 234, 235, 
      236, 238, 239, 239, 240, 242, 243, 245, 246, 247, 248, 249, 250, 251, 253, 254, 255, 256, 258, 
      259, 261, 261, 262, 263, 264, 265, 266, 267, 268, 270, 271, 272, 273, 274, 274, 276, 277, 278, 
      279, 280, 281, 282, 283, 283, 284, 284, 285, 287, 288, 289, 290, 291, 292, 292, 293, 294, 295, 
      296, 296, 297, 298, 299, 300, 301, 301, 302, 303, 304, 306, 306, 307, 308, 308, 309, 309, 311, 
      312, 313, 313, 314, 315, 316, 317, 318, 320, 320, 321, 322, 323, 324, 325, 326, 326, 327, 328, 
      328, 329, 330, 331, 333, 334, 334, 335, 336, 337, 338, 339, 339, 341, 342, 344, 344, 345, 345, 
      347, 347, 348, 349, 351, 353, 354, 357, 358, 358, 360, 361, 362, 362, 363, 364, 365, 366, 367, 
      368, 369, 370, 371, 372, 372, 373, 374, 374, 375, 376, 377, 378, 379, 379, 380, 381, 382, 383, 
      384, 384, 385, 386, 387, 387, 388, 389, 390, 391, 391, 392, 392, 393, 394, 396, 396, 398, 399, 
      400, 403, 403, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 416, 417, 418, 419, 
      420, 421, 422, 423, 424, 425, 426, 427, 427, 428, 429, 430, 431, 432, 434, 435, 436, 438, 439, 
      440, 440, 441, 443, 444, 444, 445, 446, 447, 448, 448, 449, 450, 451, 452, 455, 456, 458, 459, 
      459, 460, 461, 462, 465, 466, 466, 467, 469, 470, 471, 472, 473, 473, 476, 477, 479, 480, 481, 
      481, 482, 483, 485, 486, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 495, 496, 497, 498, 
      499, 500, 501, 502, 503, 504, 506, 507, 508, 509, 510, 511, 512, 512, 513, 513, 517, 518, 518, 
      520, 521, 522, 523, 523, 525, 526, 527, 529, 529, 530, 531, 533, 534, 535, 536, 537, 538, 539, 
      540, 541, 542, 543, 543, 545, 545, 546, 547, 549, 551, 552, 552, 553, 554, 555, 557, 557, 558, 
      559, 560, 560, 561, 562, 564, 564, 567, 568, 568, 569, 570, 571, 572, 572, 573, 574, 575, 577, 
      578, 579, 580, 581, 581, 584, 585, 586, 587, 589, 589, 590, 591, 592, 593, 594, 594, 595, 596, 
      597, 598, 599, 600, 602, 602, 603, 603, 604, 605, 606, 606, 607, 608, 609, 610, 611, 611, 612, 
      613, 614, 615, 616, 617, 618, 618, 619, 620, 622, 622, 623, 625, 627, 628, 629, 630, 631, 632, 
      633, 634, 634, 635, 636, 639, 640, 640, 641, 644, 644, 645, 646, 646, 647, 649, 650, 650, 651, 
      652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 663, 664, 665, 666, 667, 667, 668, 
      669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 681, 682, 683, 684, 685, 686, 687, 688, 
      688, 689, 690, 691, 692, 693, 694, 694, 695, 696, 697, 698, 699, 699, 700, 700, 702, 703, 704, 
      704, 705, 706, 706, 707, 707, 708, 709, 710, 711, 713, 714, 715, 715, 716, 717, 718, 719, 722, 
      724, 726, 726, 728, 729, 730, 731, 732, 733, 734, 735, 736, 738, 739, 740, 741, 742, 743, 744, 
      744, 745, 745, 746, 747, 749, 749, 750, 751, 753, 753, 756, 759, 759, 760, 760, 761, 762, 763, 
      765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 775, 776, 778, 779, 780, 781, 782, 783, 
      784, 786, 788, 789, 789, 790, 791, 791, 792, 793, 794, 795, 796, 797, 799, 800, 802, 803, 804, 
      805, 806, 806, 807, 808, 809, 810, 810, 812, 812, 813, 813, 815, 817, 818, 820, 820, 821, 822, 
      823, 824, 825, 826, 827, 827, 828, 830, 831, 831, 832, 832, 833, 834, 835, 836, 837, 838, 839, 
      841, 841, 842, 842, 843, 845, 847, 848, 849, 851, 852, 853, 853, 854, 856, 856, 857, 858, 860, 
      860, 861, 864, 865, 866, 866, 867, 868, 869, 869, 870, 871, 873, 873, 875, 876, 878, 881, 881, 
      882, 883, 884, 885, 885, 886, 887, 890, 891, 892, 892, 893, 894, 895, 897, 897, 898, 900, 901, 
      902, 903, 903, 904, 905, 906, 908, 909, 910, 910, 911, 911, 913, 913, 914, 915, 916, 916, 917, 
      918, 919, 920, 921, 921, 922, 923, 923, 925, 926, 927, 928, 929, 931, 931, 932, 932, 934, 935, 
      935, 936, 936, 937, 938, 939, 940, 941, 942, 944, 944, 945, 947, 947, 948, 949, 950, 951, 951, 
      952, 953, 953, 954, 955, 956, 958, 959, 959, 960, 961, 962, 963, 965, 965, 967, 968, 968, 969, 
      970, 971, 971, 972, 973, 975, 977, 978, 980, 982, 982, 983, 984, 985, 985, 986, 986, 987, 989, 
      989, 990, 991, 992, 993, 995, 996, 997, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1006, 1006, 
      1007, 1008, 1009, 1010, 1010, 1011, 1012, 1013, 1015, 1016, 1017, 1018, 1018, 1020, 1020, 1021, 
      1022, 1024, 1024, 1025, 1026, 1026, 1027, 1027, 1029, 1030, 1031, 1032, 1032, 1033, 1035, 1035, 
      1037, 1038, 1039, 1040, 1040, 1041, 1042, 1043, 1044, 1046, 1047, 1047, 1048, 1049, 1050, 1052, 
      1053, 1054, 1055, 1055, 1056, 1057, 1058, 1060, 1060, 1062, 1063, 1065, 1066, 1067, 1068, 1069, 
      1070, 1071, 1072, 1073, 1074, 1075, 1076, 1076, 1077, 1078, 1081, 1081, 1082, 1083, 1083, 1084, 
      1085, 1086, 1087, 1088, 1089, 1091, 1092, 1093, 1095, 1096, 1096, 1098, 1098, 1100, 1100, 1101, 
      1102, 1103, 1104, 1105, 1105, 1107, 1108, 1109, 1110, 1112, 1113, 1113, 1114, 1115, 1116, 1116, 
      1117, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1125, 1126, 1127, 1128, 1129, 1130, 1130, 1131, 
      1132, 1133, 1135, 1135, 1136, 1137, 1140, 1141, 1142, 1142, 1143, 1143, 1145, 1146, 1147, 1148, 
      1150, 1151, 1152, 1153, 1153, 1155, 1156, 1156, 1157, 1157, 1159, 1160, 1161, 1162, 1163, 1163, 
      1164, 1166, 1166, 1168, 1169, 1170, 1172, 1173, 1174, 1175, 1176, 1177, 1177, 1178, 1179, 1180, 
      1181, 1182, 1183, 1184, 1185, 1186, 1187, 1187, 1188, 1189, 1192, 1192, 1194, 1196, 1196, 1197, 
      1198, 1199, 1200, 1201, 1202, 1204, 1205, 1205, 1206, 1207, 1207, 1208, 1209, 1210, 1213, 1214, 
      1215, 1216, 1217, 1218, 1219, 1220, 1220, 1221, 1222, 1222, 1223, 1225, 1226, 1226, 1229, 1230, 
      1231, 1232, 1234, 1235, 1236, 1238, 1238, 1240, 1242, 1243, 1244, 1245, 1245, 1246, 1247, 1248, 
      1248, 1249, 1250, 1252, 1253, 1255, 1257, 1258, 1259, 1260, 1260, 1261, 1262, 1263, 1264, 1265, 
      1266, 1267, 1268, 1269, 1270, 1271, 1271, 1273, 1274, 1275, 1276, 1276, 1277, 1277, 1278, 1279, 
      1279, 1280, 1281, 1282, 1283, 1283, 1284, 1285, 1286, 1287, 1289, 1290, 1291, 1292, 1293, 1294, 
      1295, 1295, 1296, 1297, 1300, 1301, 1302, 1303, 1304, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 
      1313, 1314, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1322, 1323, 1323, 1324, 1325, 1326, 1327, 
      1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1337, 1338, 1339, 1340, 1341, 1343, 1345, 
      1346, 1346, 1348, 1349, 1351, 1352, 1353, 1354, 1355, 1356, 1356, 1358, 1359, 1360, 1361, 1362, 
      1362, 1363, 1364, 1364, 1365, 1366, 1367, 1368, 1369, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 
      1376, 1377, 1378, 1380, 1381, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 
      1392, 1392, 1393, 1394, 1395, 1397, 1398, 1399, 1400, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 
      1407, 1407, 1408, 1409, 1410, 1411, 1412, 1412, 1413, 1415, 1415, 1416, 1417, 1418, 1419, 1420, 
      1422, 1423, 1425, 1426, 1426, 1427, 1428, 1430, 1431, 1431, 1432, 1433, 1434, 1437, 1438, 1440, 
      1441, 1442, 1443, 1444, 1444, 1445, 1445, 1446, 1446, 1447, 1448, 1449, 1450, 1452, 1453, 1454, 
      1456, 1457, 1458, 1459, 1460, 1460, 1461, 1464, 1464, 1466, 1468, 1468, 1470, 1470, 1471, 1471, 
      1472, 1475, 1476, 1476, 1477, 1477, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1485, 1486, 1487, 
      1488, 1489, 1489, 1490, 1491, 1492, 1492, 1493, 1493, 1494, 1495, 1496, 1497, 1498, 1500, 1501, 
      1503, 1505, 1506, 1506, 1507, 1508, 1509, 1510, 1511, 1511, 1512, 1513, 1513, 1515, 1516, 1517, 
      1517, 1518, 1519, 1521, 1522, 1523, 1524, 1525, 1525, 1526, 1527, 1528, 1528, 1529, 1530, 1530, 
      1532, 1533, 1536, 1537, 1539, 1540, 1542, 1543, 1543, 1544, 1545, 1545, 1546, 1546, 1549, 1550, 
      1551, 1552, 1553, 1554, 1555, 1556, 1556, 1557, 1558, 1559, 1560, 1561, 1561, 1562, 1563, 1564, 
      1564, 1565, 1565, 1566, 1567, 1568, 1569, 1569, 1571, 1571, 1573, 1574, 1575, 1576, 1577, 1578, 
      1579, 1580, 1581, 1582, 1583, 1585, 1586, 1586, 1587, 1588, 1589, 1590, 1590, 1591, 1592, 1593, 
      1594, 1595, 1596, 1597, 1598, 1598, 1599, 1600, 1600, 1601, 1602, 1602, 1604, 1604, 1605, 1606, 
      1607, 1607, 1608, 1609, 1610, 1611, 1613, 1614, 1614, 1615, 1616, 1617, 1618, 1618, 1619, 1619, 
      1620, 1621, 1623, 1623, 1624, 1625, 1626, 1629, 1629, 1630, 1631, 1633, 1634, 1635, 1636, 1637, 
      1638, 1639, 1640, 1641, 1643, 1643, 1644, 1644, 1645, 1646, 1647, 1648, 1650, 1651, 1652, 1655, 
      1656, 1657, 1658, 1660, 1661, 1663, 1664, 1664, 1665, 1666, 1667, 1667, 1668, 1669, 1670, 1671, 
      1672, 1673, 1674, 1675, 1676, 1678, 1679, 1681, 1682, 1683, 1684, 1684, 1686, 1688, 1692, 1693, 
      1694, 1695, 1696, 1697, 1698, 1698, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1706, 1707, 1707, 
      1709, 1710, 1711, 1712, 1713, 1714, 1714, 1715, 1716, 1717, 1717, 1718, 1719, 1720, 1721, 1722, 
      1723, 1724, 1724, 1727, 1728, 1728, 1729, 1730, 1730, 1731, 1731, 1732, 1733, 1734, 1735, 1736, 
      1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1745, 1747, 1750, 1750, 1751, 1752, 1753, 
      1754, 1755, 1757, 1758, 1758, 1759, 1760, 1760, 1762, 1763, 1766, 1766, 1767, 1769, 1771, 1771, 
      1773, 1774, 1776, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1787, 1788, 1789, 
      1791, 1792, 1793, 1794, 1795, 1795, 1796, 1797, 1799, 1800, 1801, 1803, 1804, 1804, 1805, 1806, 
      1807, 1809, 1809, 1811, 1812, 1813, 1814, 1815, 1817, 1818, 1818, 1819, 1820, 1821, 1822, 1823, 
      1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1835, 1836, 1837, 1838, 1838, 1839, 
      1840, 1841, 1842, 1843, 1844, 1846, 1846, 1848, 1848, 1849, 1850, 1851, 1852, 1852, 1853, 1854, 
      1855, 1856, 1857, 1858, 1860, 1861, 1865, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1876, 
      1877, 1877, 1878, 1879, 1881, 1882, 1883, 1886, 1888, 1889, 1889, 1890, 1891, 1891, 1893, 1894, 
      1895, 1895, 1896, 1897, 1898, 1899, 1899, 1900, 1901, 1901, 1903, 1903, 1904, 1904, 1905, 1906, 
      1907, 1909, 1910, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1916, 1917, 1918, 1919, 1920, 1921, 
      1923, 1924, 1925, 1926, 1926, 1928, 1929, 1930, 1931, 1932, 1932, 1933, 1934, 1935, 1936, 1938, 
      1938, 1939, 1940, 1940, 1941, 1942, 1944, 1945, 1946, 1947, 1948, 1948, 1949, 1950, 1950, 1951, 
      1951, 1953, 1954, 1956, 1957, 1959, 1960, 1962, 1963, 1964, 1964, 1965, 1966, 1967, 1968, 1969, 
      1970, 1971, 1972, 1973, 1974, 1975, 1976, 1978, 1979, 1980, 1981, 1982, 1983, 1983, 1984, 1985, 
      1987, 1988, 1990, 1990, 1991, 1992, 1993, 1994, 1995, 1995, 1998, 1998, 1999, 2000, 2000, 2001, 
      2002, 2003, 2004, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2015, 2016, 2017, 
      2018, 2019, 2019, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2028, 2029, 2030, 2031, 2032, 2034, 
      2035, 2036, 2037, 2038, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 
      2050, 2051, 2052, 2053, 2054, 2054, 2056, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2064, 2065, 
      2065, 2066, 2067, 2067, 2069, 2070, 2071, 2073, 2073, 2074, 2076, 2077, 2078, 2079, 2080, 2081, 
      2082, 2083, 2084, 2085, 2085, 2087, 2088, 2089, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 
      2099, 2100, 2101, 2102, 2103, 2104, 2104, 2105, 2107, 2108, 2109, 2109, 2110, 2111, 2112, 2113, 
      2114, 2114, 2115, 2116, 2116, 2117, 2117, 2118, 2119, 2120, 2123, 2124, 2125, 2126, 2127, 2127, 
      2129, 2129, 2131, 2132, 2133, 2134, 2134, 2135, 2136, 2137, 2138, 2139, 2139, 2140, 2141, 2141, 
      2142, 2143, 2144, 2145, 2146, 2147, 2147, 2148, 2149, 2150, 2151, 2152, 2154, 2155, 2156, 2157, 
      2158, 2159, 2160, 2161, 2163, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2170, 2173, 2174, 
      2175, 2176, 2177, 2178, 2179, 2181, 2182, 2184, 2185, 2186, 2187, 2187, 2188, 2190, 2191, 2191, 
      2192, 2193, 2195, 2196, 2196, 2197, 2198, 2200, 2202, 2203, 2205, 2206, 2207, 2208, 2209, 2209, 
      2210, 2211 ] ]