[ [ 26, 114, 145, 171, 647, 728, 762, 891, 925, 1092, 1137, 1286, 1411, 1427, 1883, 1923, 2128, 2275, 
      2310, 2334, 2388 ], [ 2, 4, 6, 8, 10, 11, 12, 14, 15, 15, 17, 21, 23, 23, 24, 25, 25, 26, 27, 28, 
      28, 29, 29, 30, 30, 31, 32, 33, 34, 35, 35, 36, 37, 39, 39, 41, 41, 41, 42, 42, 45, 45, 47, 48, 
      48, 48, 51, 52, 53, 53, 54, 55, 56, 56, 57, 57, 58, 59, 59, 60, 60, 60, 61, 63, 65, 72, 73, 76, 
      77, 78, 80, 81, 82, 83, 83, 84, 87, 89, 89, 90, 91, 91, 92, 93, 93, 94, 94, 95, 96, 96, 97, 98, 
      98, 99, 100, 100, 101, 102, 103, 104, 105, 105, 106, 106, 107, 107, 108, 108, 110, 111, 112, 113, 
      113, 114, 116, 116, 117, 119, 119, 120, 121, 123, 123, 124, 125, 125, 126, 127, 127, 128, 130, 
      132, 133, 135, 136, 137, 138, 139, 139, 140, 140, 141, 142, 142, 143, 144, 144, 145, 146, 146, 
      147, 149, 149, 150, 151, 155, 156, 156, 157, 158, 158, 159, 160, 161, 162, 163, 164, 165, 165, 
      165, 166, 167, 167, 167, 168, 169, 169, 171, 173, 174, 174, 175, 176, 177, 178, 179, 180, 180, 
      181, 182, 182, 185, 185, 185, 186, 187, 187, 188, 188, 189, 189, 190, 192, 193, 194, 195, 196, 
      198, 201, 201, 202, 203, 203, 203, 204, 204, 205, 207, 207, 208, 209, 209, 209, 210, 210, 211, 
      212, 213, 214, 214, 214, 216, 216, 216, 217, 217, 219, 220, 220, 221, 221, 222, 223, 224, 225, 
      230, 231, 232, 234, 235, 236, 236, 237, 237, 237, 239, 239, 241, 245, 246, 248, 248, 248, 250, 
      250, 250, 251, 251, 252, 253, 254, 255, 255, 256, 258, 258, 259, 260, 261, 261, 262, 262, 263, 
      264, 266, 267, 268, 269, 270, 271, 271, 274, 278, 280, 280, 280, 281, 283, 283, 284, 286, 287, 
      288, 289, 290, 291, 293, 293, 294, 294, 295, 295, 296, 297, 298, 298, 299, 299, 300, 301, 302, 
      303, 304, 305, 308, 309, 310, 311, 312, 312, 313, 314, 314, 314, 316, 317, 318, 318, 319, 320, 
      320, 321, 321, 321, 323, 327, 328, 329, 331, 332, 334, 335, 336, 337, 338, 340, 341, 342, 342, 
      343, 344, 344, 345, 346, 347, 348, 348, 349, 350, 351, 351, 352, 353, 353, 355, 358, 359, 361, 
      361, 362, 362, 362, 363, 363, 363, 364, 365, 366, 366, 367, 368, 368, 369, 369, 369, 370, 372, 
      372, 373, 374, 374, 374, 375, 375, 376, 376, 378, 378, 381, 383, 383, 384, 384, 385, 385, 386, 
      386, 387, 387, 389, 389, 390, 391, 393, 393, 393, 394, 394, 396, 396, 398, 400, 401, 402, 404, 
      406, 406, 408, 409, 410, 410, 411, 412, 412, 413, 414, 414, 415, 415, 416, 417, 418, 419, 419, 
      420, 420, 421, 422, 423, 424, 425, 426, 426, 426, 427, 428, 429, 431, 432, 433, 434, 436, 436, 
      441, 442, 443, 444, 447, 448, 449, 449, 450, 450, 451, 451, 452, 453, 453, 453, 454, 455, 456, 
      457, 458, 458, 459, 460, 461, 462, 464, 464, 465, 465, 466, 466, 468, 469, 471, 472, 473, 475, 
      477, 480, 481, 483, 483, 483, 485, 486, 487, 487, 488, 491, 493, 494, 494, 495, 496, 496, 497, 
      498, 498, 499, 501, 502, 503, 506, 508, 509, 510, 510, 512, 513, 514, 514, 515, 517, 518, 518, 
      518, 519, 520, 524, 525, 526, 526, 527, 529, 529, 530, 531, 531, 532, 533, 533, 535, 536, 537, 
      538, 539, 540, 540, 543, 543, 545, 546, 547, 547, 547, 548, 549, 551, 552, 553, 554, 554, 555, 
      556, 556, 556, 557, 557, 558, 558, 558, 559, 560, 560, 561, 562, 563, 564, 567, 568, 569, 570, 
      570, 570, 571, 572, 573, 574, 578, 580, 581, 582, 583, 583, 584, 589, 591, 592, 594, 595, 598, 
      598, 599, 601, 602, 603, 603, 604, 605, 605, 606, 607, 607, 608, 609, 610, 615, 617, 618, 619, 
      620, 621, 622, 623, 624, 625, 625, 626, 626, 628, 628, 628, 630, 633, 635, 635, 636, 638, 638, 
      639, 640, 641, 643, 644, 645, 647, 648, 649, 651, 653, 654, 654, 655, 655, 656, 656, 657, 658, 
      659, 660, 660, 661, 661, 664, 664, 665, 666, 667, 668, 670, 670, 671, 672, 673, 674, 675, 678, 
      679, 680, 680, 682, 683, 683, 684, 685, 686, 687, 688, 688, 689, 690, 690, 692, 693, 694, 694, 
      696, 697, 697, 698, 699, 700, 702, 703, 704, 704, 705, 707, 707, 708, 708, 708, 709, 710, 710, 
      713, 714, 714, 717, 717, 718, 722, 722, 724, 724, 725, 727, 727, 728, 729, 730, 730, 731, 733, 
      733, 735, 735, 736, 738, 739, 742, 743, 745, 746, 747, 749, 750, 750, 751, 752, 753, 754, 754, 
      755, 755, 756, 757, 757, 758, 758, 759, 759, 762, 763, 763, 764, 765, 766, 767, 769, 770, 771, 
      774, 775, 781, 782, 783, 784, 787, 788, 789, 790, 791, 791, 792, 793, 794, 794, 794, 795, 795, 
      796, 796, 797, 798, 799, 800, 801, 802, 802, 803, 805, 807, 808, 809, 810, 810, 811, 812, 812, 
      813, 813, 813, 815, 816, 818, 820, 822, 823, 827, 827, 828, 829, 830, 831, 839, 839, 840, 840, 
      841, 842, 843, 844, 846, 846, 848, 848, 850, 853, 854, 854, 855, 856, 856, 857, 858, 858, 859, 
      859, 860, 861, 861, 861, 862, 864, 865, 867, 868, 868, 869, 870, 870, 871, 873, 874, 876, 877, 
      878, 880, 882, 884, 885, 887, 887, 889, 891, 892, 893, 896, 898, 900, 901, 905, 906, 906, 907, 
      907, 909, 910, 910, 911, 912, 913, 914, 915, 916, 916, 917, 918, 918, 919, 922, 922, 922, 923, 
      923, 924, 924, 925, 926, 926, 927, 927, 928, 928, 928, 929, 930, 931, 931, 933, 935, 937, 940, 
      941, 943, 944, 944, 946, 946, 946, 947, 948, 948, 948, 949, 949, 950, 951, 951, 952, 952, 952, 
      957, 959, 959, 959, 960, 960, 960, 962, 962, 963, 963, 963, 964, 965, 966, 966, 968, 969, 969, 
      973, 974, 975, 975, 976, 977, 978, 980, 984, 984, 986, 987, 988, 989, 991, 992, 995, 996, 997, 
      998, 998, 999, 1002, 1004, 1005, 1006, 1007, 1008, 1010, 1010, 1011, 1012, 1013, 1014, 1014, 
      1014, 1015, 1016, 1018, 1019, 1020, 1022, 1023, 1023, 1024, 1024, 1025, 1026, 1026, 1027, 1028, 
      1028, 1029, 1029, 1030, 1030, 1031, 1032, 1034, 1036, 1038, 1039, 1040, 1042, 1044, 1045, 1046, 
      1048, 1049, 1050, 1051, 1052, 1053, 1055, 1056, 1056, 1056, 1058, 1059, 1060, 1062, 1064, 1064, 
      1065, 1066, 1067, 1067, 1069, 1069, 1069, 1070, 1071, 1072, 1073, 1073, 1074, 1075, 1075, 1075, 
      1076, 1077, 1077, 1078, 1080, 1082, 1083, 1084, 1085, 1085, 1086, 1087, 1088, 1088, 1089, 1090, 
      1090, 1092, 1093, 1094, 1095, 1096, 1096, 1097, 1098, 1099, 1099, 1101, 1102, 1103, 1103, 1104, 
      1105, 1105, 1106, 1107, 1108, 1110, 1110, 1111, 1112, 1113, 1113, 1114, 1115, 1116, 1118, 1118, 
      1121, 1121, 1122, 1122, 1123, 1124, 1125, 1127, 1128, 1130, 1131, 1132, 1132, 1133, 1134, 1135, 
      1136, 1137, 1139, 1139, 1142, 1143, 1144, 1145, 1145, 1146, 1147, 1147, 1150, 1151, 1151, 1152, 
      1153, 1154, 1154, 1155, 1157, 1160, 1161, 1161, 1162, 1163, 1164, 1164, 1165, 1165, 1166, 1167, 
      1168, 1169, 1169, 1170, 1171, 1172, 1173, 1176, 1177, 1178, 1179, 1180, 1181, 1181, 1182, 1183, 
      1185, 1185, 1186, 1187, 1187, 1188, 1189, 1189, 1190, 1191, 1191, 1191, 1192, 1193, 1193, 1194, 
      1194, 1195, 1195, 1196, 1199, 1201, 1201, 1202, 1203, 1205, 1206, 1207, 1208, 1208, 1209, 1209, 
      1210, 1210, 1211, 1212, 1214, 1216, 1216, 1217, 1219, 1219, 1220, 1221, 1224, 1225, 1225, 1225, 
      1226, 1227, 1227, 1231, 1231, 1233, 1234, 1235, 1236, 1237, 1238, 1238, 1239, 1240, 1242, 1242, 
      1243, 1244, 1245, 1247, 1250, 1251, 1252, 1252, 1254, 1255, 1255, 1256, 1257, 1258, 1259, 1260, 
      1263, 1266, 1267, 1268, 1270, 1271, 1272, 1272, 1273, 1274, 1274, 1276, 1277, 1278, 1279, 1279, 
      1280, 1280, 1280, 1281, 1283, 1283, 1285, 1285, 1286, 1288, 1289, 1291, 1293, 1293, 1295, 1297, 
      1298, 1299, 1299, 1300, 1301, 1301, 1303, 1304, 1306, 1307, 1307, 1309, 1309, 1310, 1312, 1312, 
      1314, 1315, 1316, 1319, 1321, 1322, 1324, 1324, 1325, 1327, 1329, 1329, 1330, 1331, 1334, 1336, 
      1337, 1338, 1338, 1341, 1342, 1342, 1343, 1343, 1344, 1344, 1345, 1345, 1345, 1347, 1348, 1352, 
      1353, 1354, 1355, 1356, 1358, 1360, 1363, 1364, 1365, 1366, 1366, 1367, 1367, 1371, 1371, 1373, 
      1374, 1375, 1376, 1376, 1377, 1377, 1377, 1378, 1378, 1379, 1379, 1380, 1380, 1382, 1383, 1384, 
      1384, 1385, 1386, 1388, 1390, 1391, 1392, 1392, 1394, 1395, 1396, 1398, 1400, 1400, 1401, 1402, 
      1402, 1403, 1407, 1407, 1408, 1410, 1410, 1411, 1412, 1413, 1413, 1413, 1414, 1418, 1419, 1420, 
      1427, 1430, 1433, 1433, 1434, 1435, 1435, 1436, 1438, 1438, 1439, 1440, 1441, 1442, 1443, 1445, 
      1446, 1447, 1449, 1450, 1452, 1453, 1454, 1455, 1456, 1457, 1460, 1464, 1465, 1466, 1466, 1467, 
      1468, 1469, 1472, 1473, 1474, 1474, 1475, 1479, 1480, 1482, 1483, 1483, 1485, 1486, 1487, 1489, 
      1491, 1492, 1493, 1495, 1496, 1497, 1498, 1498, 1499, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 
      1508, 1509, 1511, 1513, 1513, 1515, 1516, 1517, 1517, 1519, 1522, 1523, 1524, 1526, 1528, 1529, 
      1530, 1532, 1532, 1535, 1536, 1536, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1544, 1545, 1546, 
      1547, 1548, 1550, 1550, 1553, 1553, 1554, 1555, 1556, 1558, 1558, 1560, 1565, 1565, 1566, 1567, 
      1568, 1569, 1570, 1572, 1572, 1578, 1579, 1580, 1580, 1580, 1581, 1581, 1582, 1583, 1583, 1583, 
      1585, 1585, 1586, 1586, 1587, 1588, 1590, 1593, 1595, 1596, 1597, 1600, 1601, 1602, 1602, 1603, 
      1603, 1604, 1605, 1606, 1607, 1609, 1611, 1612, 1612, 1614, 1614, 1616, 1616, 1617, 1617, 1618, 
      1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1627, 1629, 1630, 1631, 1631, 1632, 1633, 
      1633, 1633, 1634, 1636, 1637, 1638, 1638, 1639, 1639, 1639, 1640, 1641, 1641, 1642, 1645, 1647, 
      1647, 1649, 1649, 1650, 1651, 1653, 1653, 1654, 1655, 1656, 1657, 1659, 1660, 1662, 1663, 1664, 
      1666, 1667, 1667, 1668, 1669, 1669, 1671, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1679, 1680, 
      1681, 1681, 1682, 1682, 1682, 1684, 1684, 1685, 1686, 1686, 1687, 1688, 1691, 1691, 1691, 1692, 
      1693, 1694, 1695, 1695, 1696, 1696, 1696, 1697, 1698, 1698, 1699, 1699, 1700, 1700, 1701, 1701, 
      1702, 1702, 1702, 1703, 1703, 1704, 1704, 1705, 1706, 1708, 1710, 1710, 1711, 1711, 1712, 1713, 
      1714, 1715, 1716, 1718, 1719, 1720, 1722, 1722, 1723, 1723, 1724, 1726, 1727, 1729, 1730, 1731, 
      1731, 1732, 1733, 1734, 1735, 1738, 1738, 1739, 1739, 1740, 1740, 1741, 1742, 1743, 1744, 1746, 
      1747, 1748, 1749, 1750, 1750, 1751, 1752, 1753, 1754, 1754, 1755, 1757, 1758, 1759, 1760, 1761, 
      1762, 1763, 1765, 1767, 1767, 1768, 1769, 1770, 1771, 1771, 1772, 1772, 1772, 1773, 1774, 1775, 
      1777, 1778, 1780, 1783, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1791, 1793, 1793, 
      1793, 1794, 1795, 1795, 1796, 1796, 1797, 1798, 1799, 1801, 1802, 1802, 1803, 1805, 1806, 1807, 
      1808, 1808, 1809, 1810, 1810, 1811, 1811, 1812, 1812, 1813, 1813, 1814, 1816, 1816, 1817, 1817, 
      1820, 1822, 1823, 1824, 1827, 1829, 1830, 1831, 1833, 1836, 1839, 1839, 1840, 1841, 1841, 1842, 
      1843, 1843, 1843, 1845, 1846, 1847, 1847, 1848, 1849, 1850, 1850, 1852, 1853, 1856, 1857, 1858, 
      1860, 1860, 1861, 1862, 1865, 1866, 1868, 1868, 1869, 1869, 1871, 1871, 1871, 1872, 1873, 1873, 
      1873, 1874, 1874, 1875, 1875, 1876, 1877, 1878, 1880, 1880, 1881, 1881, 1881, 1882, 1883, 1885, 
      1887, 1888, 1889, 1890, 1890, 1891, 1891, 1891, 1892, 1892, 1893, 1895, 1898, 1898, 1900, 1902, 
      1903, 1904, 1904, 1905, 1906, 1907, 1908, 1909, 1909, 1910, 1912, 1912, 1913, 1915, 1917, 1918, 
      1920, 1920, 1921, 1922, 1923, 1927, 1928, 1928, 1928, 1932, 1932, 1933, 1935, 1935, 1936, 1937, 
      1937, 1940, 1940, 1941, 1942, 1942, 1945, 1946, 1946, 1947, 1949, 1950, 1950, 1950, 1952, 1952, 
      1954, 1955, 1955, 1955, 1956, 1958, 1959, 1961, 1962, 1963, 1964, 1964, 1965, 1966, 1969, 1971, 
      1972, 1975, 1975, 1976, 1977, 1978, 1981, 1981, 1983, 1983, 1986, 1986, 1987, 1988, 1989, 1989, 
      1990, 1991, 1992, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1998, 2000, 2000, 2001, 2001, 2002, 
      2003, 2004, 2005, 2006, 2007, 2008, 2011, 2012, 2012, 2014, 2016, 2016, 2017, 2017, 2020, 2020, 
      2021, 2022, 2023, 2023, 2025, 2027, 2027, 2028, 2028, 2030, 2030, 2032, 2034, 2035, 2036, 2037, 
      2039, 2039, 2040, 2040, 2041, 2041, 2041, 2042, 2042, 2043, 2044, 2045, 2046, 2048, 2049, 2051, 
      2052, 2053, 2053, 2055, 2056, 2056, 2057, 2058, 2058, 2059, 2059, 2060, 2060, 2061, 2063, 2065, 
      2066, 2066, 2067, 2067, 2069, 2071, 2071, 2073, 2073, 2076, 2077, 2077, 2078, 2078, 2079, 2080, 
      2080, 2080, 2082, 2083, 2084, 2085, 2085, 2086, 2088, 2088, 2088, 2089, 2090, 2091, 2091, 2092, 
      2093, 2094, 2094, 2095, 2096, 2096, 2096, 2099, 2100, 2101, 2101, 2102, 2102, 2104, 2105, 2106, 
      2106, 2107, 2107, 2107, 2108, 2110, 2110, 2111, 2112, 2112, 2113, 2113, 2117, 2118, 2119, 2119, 
      2120, 2122, 2123, 2124, 2127, 2128, 2129, 2130, 2132, 2133, 2135, 2136, 2136, 2138, 2139, 2140, 
      2140, 2141, 2142, 2142, 2142, 2143, 2143, 2144, 2144, 2144, 2145, 2146, 2147, 2148, 2148, 2149, 
      2149, 2150, 2151, 2151, 2152, 2153, 2154, 2156, 2159, 2161, 2161, 2162, 2163, 2167, 2168, 2169, 
      2170, 2170, 2171, 2171, 2172, 2173, 2173, 2174, 2175, 2176, 2177, 2177, 2178, 2180, 2181, 2181, 
      2183, 2184, 2186, 2186, 2187, 2188, 2189, 2191, 2191, 2192, 2193, 2195, 2195, 2196, 2196, 2197, 
      2198, 2199, 2201, 2203, 2204, 2205, 2205, 2206, 2207, 2207, 2208, 2208, 2209, 2209, 2210, 2211, 
      2212, 2212, 2215, 2216, 2216, 2218, 2219, 2219, 2220, 2220, 2221, 2222, 2222, 2223, 2223, 2225, 
      2226, 2228, 2228, 2230, 2232, 2234, 2234, 2235, 2237, 2238, 2238, 2239, 2239, 2240, 2241, 2242, 
      2242, 2242, 2243, 2244, 2244, 2246, 2247, 2247, 2247, 2248, 2248, 2249, 2250, 2251, 2252, 2253, 
      2254, 2255, 2256, 2257, 2258, 2258, 2259, 2259, 2260, 2261, 2262, 2262, 2263, 2264, 2266, 2267, 
      2269, 2272, 2275, 2277, 2278, 2279, 2279, 2280, 2281, 2283, 2284, 2284, 2285, 2287, 2287, 2289, 
      2289, 2290, 2292, 2293, 2294, 2294, 2295, 2296, 2296, 2297, 2298, 2299, 2299, 2300, 2301, 2302, 
      2302, 2303, 2303, 2304, 2304, 2305, 2306, 2307, 2309, 2310, 2312, 2313, 2315, 2316, 2317, 2317, 
      2318, 2320, 2321, 2322, 2324, 2325, 2326, 2327, 2331, 2332, 2332, 2333, 2334, 2335, 2337, 2339, 
      2341, 2342, 2343, 2346, 2347, 2347, 2348, 2349, 2351, 2351, 2352, 2353, 2354, 2354, 2355, 2356, 
      2357, 2358, 2359, 2361, 2361, 2362, 2364, 2364, 2365, 2366, 2366, 2368, 2369, 2370, 2372, 2374, 
      2375, 2376, 2377, 2377, 2378, 2378, 2380, 2380, 2381, 2381, 2382, 2382, 2385, 2386, 2387, 2388, 
      2389, 2389, 2390, 2390, 2391, 2392, 2392, 2393, 2396, 2397, 2397, 2398, 2398, 2398, 2399, 2400, 
      2400, 2402, 2402, 2403, 2403, 2404, 2405, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2413, 2414, 
      2416, 2416, 2416, 2417, 2418, 2418, 2420, 2421, 2424, 2425, 2426, 2428, 2429, 2429, 2430, 2430, 
      2431, 2432, 2435, 2435, 2435, 2436, 2436, 2437, 2437, 2438, 2440, 2442, 2442, 2445, 2446, 2447, 
      2448, 2449, 2449, 2450, 2453, 2455, 2457, 2458, 2458, 2458, 2459, 2461, 2462, 2463, 2464, 2466, 
      2469, 2471, 2471, 2472, 2473, 2474, 2474, 2475, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 
      2482, 2482, 2484, 2484, 2485, 2485, 2486, 2486, 2487, 2487, 2488, 2489, 2489, 2491, 2492, 2492, 
      2493, 2493, 2494, 2495, 2495, 2496, 2496, 2497, 2498, 2499, 2500, 2501, 2503, 2503, 2504, 2505, 
      2506, 2507, 2508, 2508, 2510, 2512, 2516, 2517, 2518, 2518, 2519 ] ]