[ [ 98, 214, 287, 293, 345, 481, 513, 665, 733, 935, 957, 961, 978, 1051, 1200, 1232, 1284, 1350, 1357, 
      1629, 1691, 1769, 1818, 1821, 1974, 2010, 2074 ], 
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      26, 26, 27, 28, 29, 30, 31, 32, 32, 32, 33, 33, 33, 34, 36, 37, 37, 37, 38, 39, 40, 41, 42, 43, 
      44, 45, 45, 45, 46, 48, 49, 51, 51, 51, 52, 52, 52, 54, 55, 56, 56, 56, 57, 59, 61, 63, 64, 66, 
      68, 72, 73, 74, 75, 76, 77, 78, 80, 80, 80, 81, 81, 81, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 
      94, 94, 94, 96, 98, 101, 101, 101, 102, 103, 104, 106, 107, 107, 107, 108, 109, 110, 110, 110, 
      113, 114, 114, 114, 118, 118, 118, 119, 121, 121, 121, 123, 124, 124, 124, 125, 131, 132, 133, 
      134, 135, 137, 138, 140, 142, 143, 144, 145, 146, 147, 147, 147, 148, 150, 151, 151, 151, 152, 
      153, 154, 154, 154, 156, 159, 160, 160, 160, 161, 163, 165, 166, 166, 166, 167, 167, 167, 168, 
      170, 172, 172, 172, 173, 174, 175, 176, 176, 176, 178, 179, 180, 181, 182, 182, 182, 185, 185, 
      185, 186, 187, 191, 191, 191, 192, 193, 194, 195, 195, 195, 196, 197, 198, 198, 198, 199, 203, 
      205, 206, 206, 206, 207, 209, 210, 211, 213, 215, 218, 220, 221, 221, 221, 222, 223, 224, 226, 
      226, 226, 227, 228, 231, 231, 231, 234, 235, 236, 239, 239, 239, 240, 241, 244, 246, 247, 248, 
      248, 248, 251, 251, 251, 252, 252, 252, 253, 254, 254, 254, 255, 256, 257, 258, 258, 258, 259, 
      259, 259, 261, 262, 263, 263, 263, 266, 267, 269, 270, 273, 274, 274, 274, 275, 276, 277, 278, 
      279, 280, 281, 282, 283, 283, 283, 285, 286, 287, 288, 288, 288, 289, 291, 292, 296, 297, 298, 
      299, 300, 301, 304, 304, 304, 305, 305, 305, 308, 311, 313, 314, 314, 314, 315, 315, 315, 316, 
      317, 317, 317, 318, 320, 322, 322, 322, 324, 330, 332, 333, 334, 336, 336, 336, 337, 339, 340, 
      341, 342, 343, 344, 345, 347, 348, 350, 352, 353, 354, 356, 358, 359, 359, 359, 361, 361, 361, 
      364, 365, 366, 366, 366, 367, 370, 371, 372, 372, 372, 375, 376, 376, 376, 377, 379, 381, 382, 
      382, 382, 384, 385, 386, 387, 388, 389, 390, 391, 395, 396, 396, 396, 397, 398, 399, 401, 401, 
      401, 402, 405, 406, 406, 406, 407, 408, 409, 410, 410, 410, 412, 412, 412, 416, 417, 418, 420, 
      420, 420, 422, 423, 424, 425, 425, 425, 426, 426, 426, 428, 429, 429, 429, 430, 431, 435, 435, 
      435, 437, 438, 438, 438, 440, 441, 441, 441, 442, 444, 445, 445, 445, 446, 446, 446, 447, 451, 
      451, 451, 452, 453, 453, 453, 455, 455, 455, 456, 460, 461, 462, 462, 462, 463, 466, 467, 469, 
      470, 471, 471, 471, 473, 474, 475, 477, 480, 480, 480, 482, 483, 484, 485, 486, 486, 486, 487, 
      488, 489, 489, 489, 491, 492, 493, 495, 495, 495, 497, 498, 499, 499, 499, 501, 501, 501, 502, 
      504, 504, 504, 505, 506, 507, 507, 507, 508, 508, 508, 509, 510, 511, 512, 513, 517, 518, 518, 
      518, 523, 524, 528, 528, 528, 529, 530, 531, 532, 533, 533, 533, 534, 534, 534, 536, 537, 538, 
      538, 538, 539, 542, 542, 542, 545, 546, 547, 549, 551, 552, 553, 553, 553, 557, 561, 562, 565, 
      566, 566, 566, 569, 570, 571, 573, 573, 573, 576, 577, 577, 577, 580, 580, 580, 582, 582, 582, 
      583, 584, 584, 584, 585, 586, 587, 587, 587, 588, 588, 588, 590, 591, 592, 593, 594, 595, 597, 
      597, 597, 598, 598, 598, 599, 600, 603, 604, 605, 607, 607, 607, 608, 610, 611, 612, 613, 614, 
      614, 614, 618, 618, 618, 620, 620, 620, 621, 622, 623, 624, 625, 626, 627, 630, 630, 630, 631, 
      633, 633, 633, 635, 637, 638, 641, 643, 644, 645, 648, 649, 650, 651, 652, 652, 652, 653, 655, 
      655, 655, 656, 659, 659, 659, 660, 661, 664, 664, 664, 665, 666, 667, 669, 670, 670, 670, 671, 
      674, 674, 674, 675, 678, 678, 678, 681, 681, 681, 682, 683, 684, 685, 686, 686, 686, 687, 688, 
      689, 690, 691, 692, 693, 693, 693, 694, 694, 694, 696, 697, 699, 700, 700, 700, 702, 703, 704, 
      706, 706, 706, 708, 712, 712, 712, 714, 715, 716, 716, 716, 717, 718, 720, 720, 720, 721, 722, 
      724, 724, 724, 725, 726, 730, 733, 733, 733, 735, 738, 739, 740, 742, 744, 745, 746, 747, 748, 
      748, 748, 749, 750, 751, 752, 754, 754, 754, 755, 756, 756, 756, 758, 758, 758, 759, 760, 761, 
      762, 764, 765, 766, 766, 766, 767, 769, 770, 771, 772, 774, 774, 774, 775, 776, 777, 778, 778, 
      778, 779, 779, 779, 780, 781, 782, 783, 785, 786, 786, 786, 788, 788, 788, 790, 790, 790, 791, 
      792, 793, 794, 794, 794, 796, 798, 800, 802, 803, 804, 805, 807, 808, 809, 809, 809, 811, 812, 
      814, 814, 814, 816, 817, 817, 817, 819, 819, 819, 821, 821, 821, 822, 823, 823, 823, 825, 825, 
      825, 826, 827, 828, 830, 833, 836, 837, 838, 838, 838, 839, 840, 841, 841, 841, 843, 844, 847, 
      849, 849, 849, 850, 850, 850, 851, 853, 853, 853, 854, 856, 857, 858, 859, 859, 859, 861, 862, 
      863, 864, 864, 864, 865, 868, 868, 868, 869, 870, 872, 873, 875, 875, 875, 881, 882, 884, 886, 
      889, 889, 889, 890, 892, 892, 892, 893, 894, 895, 896, 896, 896, 897, 898, 899, 899, 899, 900, 
      901, 902, 906, 907, 907, 907, 908, 908, 908, 909, 911, 913, 914, 914, 914, 917, 919, 920, 921, 
      922, 923, 925, 926, 928, 931, 931, 931, 932, 933, 934, 938, 938, 938, 939, 940, 942, 942, 942, 
      943, 944, 945, 946, 947, 950, 951, 953, 953, 953, 955, 956, 957, 958, 958, 958, 959, 960, 962, 
      965, 965, 965, 967, 968, 970, 970, 970, 971, 972, 973, 974, 975, 976, 977, 978, 981, 983, 984, 
      985, 985, 985, 987, 987, 987, 989, 990, 994, 994, 994, 995, 998, 999, 1000, 1001, 1002, 1002, 
      1002, 1003, 1006, 1006, 1006, 1009, 1010, 1011, 1013, 1014, 1015, 1016, 1016, 1016, 1017, 1018, 
      1020, 1020, 1020, 1021, 1022, 1023, 1025, 1026, 1028, 1029, 1030, 1032, 1033, 1033, 1033, 1034, 
      1035, 1036, 1039, 1040, 1041, 1042, 1045, 1046, 1047, 1050, 1051, 1051, 1051, 1054, 1055, 1057, 
      1057, 1057, 1059, 1062, 1062, 1062, 1064, 1065, 1068, 1069, 1072, 1073, 1076, 1079, 1081, 1084, 
      1086, 1087, 1088, 1088, 1088, 1090, 1093, 1095, 1097, 1098, 1100, 1101, 1102, 1103, 1104, 1104, 
      1104, 1105, 1105, 1105, 1106, 1107, 1107, 1107, 1108, 1108, 1108, 1109, 1110, 1110, 1110, 1111, 
      1113, 1115, 1116, 1117, 1117, 1117, 1118, 1119, 1120, 1122, 1124, 1125, 1126, 1128, 1128, 1128, 
      1129, 1132, 1133, 1134, 1135, 1137, 1139, 1141, 1142, 1144, 1145, 1147, 1147, 1147, 1149, 1150, 
      1152, 1153, 1154, 1155, 1155, 1155, 1156, 1157, 1158, 1161, 1161, 1161, 1162, 1164, 1164, 1164, 
      1166, 1167, 1168, 1170, 1171, 1172, 1173, 1174, 1176, 1177, 1177, 1177, 1178, 1182, 1184, 1185, 
      1185, 1185, 1187, 1187, 1187, 1190, 1190, 1190, 1191, 1191, 1191, 1192, 1192, 1192, 1194, 1195, 
      1196, 1196, 1196, 1197, 1198, 1198, 1198, 1199, 1199, 1199, 1201, 1202, 1202, 1202, 1203, 1205, 
      1206, 1207, 1208, 1208, 1208, 1209, 1210, 1211, 1212, 1212, 1212, 1215, 1215, 1215, 1218, 1220, 
      1221, 1222, 1224, 1225, 1226, 1227, 1227, 1227, 1228, 1231, 1231, 1231, 1233, 1234, 1235, 1236, 
      1238, 1238, 1238, 1240, 1240, 1240, 1242, 1242, 1242, 1243, 1244, 1245, 1247, 1247, 1247, 1248, 
      1249, 1250, 1252, 1254, 1256, 1256, 1256, 1257, 1258, 1259, 1260, 1261, 1263, 1263, 1263, 1264, 
      1265, 1270, 1272, 1273, 1274, 1274, 1274, 1277, 1279, 1279, 1279, 1281, 1284, 1284, 1284, 1285, 
      1286, 1288, 1288, 1288, 1289, 1290, 1291, 1291, 1291, 1293, 1294, 1294, 1294, 1298, 1299, 1305, 
      1306, 1306, 1306, 1307, 1308, 1309, 1310, 1311, 1314, 1315, 1317, 1319, 1320, 1320, 1320, 1321, 
      1323, 1323, 1323, 1325, 1325, 1325, 1326, 1327, 1329, 1329, 1329, 1332, 1333, 1334, 1334, 1334, 
      1336, 1341, 1342, 1342, 1342, 1343, 1346, 1347, 1350, 1351, 1352, 1352, 1352, 1353, 1355, 1356, 
      1357, 1357, 1357, 1358, 1359, 1359, 1359, 1360, 1360, 1360, 1361, 1362, 1363, 1363, 1363, 1366, 
      1369, 1369, 1369, 1371, 1373, 1373, 1373, 1374, 1374, 1374, 1375, 1378, 1379, 1379, 1379, 1381, 
      1381, 1381, 1383, 1384, 1384, 1384, 1385, 1387, 1387, 1387, 1391, 1393, 1397, 1398, 1400, 1402, 
      1403, 1403, 1403, 1405, 1406, 1408, 1409, 1410, 1412, 1413, 1414, 1416, 1417, 1418, 1419, 1421, 
      1424, 1427, 1427, 1427, 1429, 1430, 1431, 1431, 1431, 1434, 1434, 1434, 1437, 1437, 1437, 1438, 
      1441, 1441, 1441, 1443, 1444, 1444, 1444, 1446, 1447, 1447, 1447, 1448, 1450, 1450, 1450, 1451, 
      1451, 1451, 1452, 1453, 1454, 1456, 1459, 1460, 1461, 1463, 1463, 1463, 1468, 1468, 1468, 1469, 
      1470, 1471, 1473, 1473, 1473, 1476, 1478, 1480, 1482, 1482, 1482, 1484, 1485, 1486, 1487, 1488, 
      1490, 1492, 1494, 1495, 1495, 1495, 1497, 1498, 1499, 1499, 1499, 1502, 1504, 1505, 1507, 1510, 
      1510, 1510, 1513, 1513, 1513, 1514, 1515, 1519, 1519, 1519, 1520, 1520, 1520, 1521, 1523, 1523, 
      1523, 1524, 1525, 1525, 1525, 1527, 1528, 1529, 1530, 1533, 1536, 1538, 1539, 1539, 1539, 1544, 
      1544, 1544, 1545, 1545, 1545, 1547, 1548, 1548, 1548, 1551, 1551, 1551, 1555, 1557, 1558, 1558, 
      1558, 1560, 1563, 1565, 1566, 1569, 1570, 1570, 1570, 1571, 1572, 1572, 1572, 1573, 1574, 1576, 
      1576, 1576, 1579, 1579, 1579, 1580, 1580, 1580, 1581, 1582, 1585, 1586, 1588, 1589, 1590, 1591, 
      1594, 1595, 1598, 1599, 1600, 1601, 1603, 1605, 1607, 1610, 1610, 1610, 1611, 1613, 1618, 1619, 
      1620, 1620, 1620, 1622, 1626, 1626, 1626, 1628, 1629, 1632, 1633, 1635, 1636, 1636, 1636, 1637, 
      1637, 1637, 1638, 1638, 1638, 1640, 1642, 1644, 1649, 1649, 1649, 1650, 1652, 1655, 1655, 1655, 
      1656, 1657, 1657, 1657, 1660, 1660, 1660, 1661, 1662, 1662, 1662, 1663, 1664, 1665, 1665, 1665, 
      1667, 1668, 1668, 1668, 1669, 1673, 1674, 1675, 1675, 1675, 1676, 1677, 1680, 1681, 1682, 1683, 
      1683, 1683, 1684, 1684, 1684, 1686, 1687, 1688, 1691, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 
      1704, 1704, 1704, 1705, 1705, 1705, 1707, 1707, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 
      1717, 1718, 1719, 1720, 1723, 1724, 1725, 1725, 1725, 1727, 1729, 1731, 1731, 1731, 1732, 1733, 
      1738, 1738, 1738, 1740, 1741, 1743, 1743, 1743, 1746, 1747, 1748, 1749, 1749, 1749, 1751, 1752, 
      1753, 1754, 1755, 1757, 1758, 1759, 1759, 1759, 1761, 1763, 1763, 1763, 1764, 1764, 1764, 1766, 
      1767, 1767, 1767, 1768, 1768, 1768, 1769, 1770, 1771, 1772, 1774, 1775, 1777, 1778, 1778, 1778, 
      1779, 1780, 1780, 1780, 1782, 1784, 1785, 1787, 1787, 1787, 1789, 1789, 1789, 1792, 1794, 1794, 
      1794, 1796, 1797, 1798, 1799, 1799, 1799, 1800, 1800, 1800, 1801, 1803, 1805, 1805, 1805, 1809, 
      1809, 1809, 1810, 1812, 1812, 1812, 1813, 1814, 1818, 1818, 1818, 1820, 1820, 1820, 1824, 1825, 
      1826, 1827, 1828, 1828, 1828, 1829, 1830, 1831, 1831, 1831, 1832, 1834, 1835, 1837, 1838, 1840, 
      1840, 1840, 1842, 1842, 1842, 1844, 1845, 1845, 1845, 1846, 1850, 1853, 1853, 1853, 1856, 1858, 
      1859, 1859, 1859, 1862, 1864, 1864, 1864, 1865, 1865, 1865, 1868, 1869, 1871, 1871, 1871, 1872, 
      1873, 1874, 1874, 1874, 1875, 1877, 1878, 1879, 1881, 1883, 1883, 1883, 1884, 1885, 1886, 1886, 
      1886, 1888, 1888, 1888, 1890, 1892, 1893, 1895, 1896, 1897, 1900, 1900, 1900, 1902, 1904, 1905, 
      1905, 1905, 1906, 1908, 1908, 1908, 1911, 1912, 1912, 1912, 1913, 1913, 1913, 1914, 1914, 1914, 
      1916, 1916, 1916, 1917, 1920, 1923, 1925, 1925, 1925, 1926, 1927, 1929, 1930, 1931, 1933, 1935, 
      1935, 1935, 1936, 1937, 1937, 1937, 1940, 1941, 1942, 1943, 1944, 1947, 1947, 1947, 1949, 1950, 
      1950, 1950, 1951, 1952, 1954, 1955, 1955, 1955, 1956, 1958, 1958, 1958, 1960, 1961, 1962, 1964, 
      1964, 1964, 1965, 1966, 1967, 1969, 1970, 1970, 1970, 1972, 1972, 1972, 1974, 1975, 1976, 1976, 
      1976, 1978, 1978, 1978, 1979, 1980, 1980, 1980, 1984, 1985, 1986, 1987, 1987, 1987, 1991, 1991, 
      1991, 1994, 1995, 1995, 1995, 1996, 1996, 1996, 1997, 1998, 1999, 2001, 2001, 2001, 2004, 2004, 
      2004, 2005, 2006, 2009, 2011, 2013, 2014, 2014, 2014, 2015, 2015, 2015, 2016, 2016, 2016, 2018, 
      2018, 2018, 2019, 2021, 2021, 2021, 2022, 2022, 2022, 2026, 2026, 2026, 2027, 2030, 2031, 2031, 
      2031, 2033, 2034, 2035, 2036, 2036, 2036, 2039, 2040, 2042, 2043, 2046, 2047, 2048, 2049, 2049, 
      2049, 2054, 2054, 2054, 2056, 2060, 2061, 2063, 2063, 2063, 2068, 2068, 2068, 2069, 2072, 2073, 
      2077, 2077, 2077, 2078, 2079, 2080, 2080, 2080, 2081, 2082, 2083, 2083, 2083, 2086, 2086, 2086, 
      2087, 2089, 2090, 2091, 2093, 2095, 2096, 2097, 2097, 2097, 2098, 2099, 2099, 2099, 2100, 2102, 
      2104, 2106, 2106, 2106 ] ]