[ [ 52, 95, 161, 238, 362, 398, 428, 455, 471, 585, 606, 724, 769, 842, 889, 917, 985, 1043, 1097, 
      1105, 1122, 1158, 1243, 1347, 1358, 1374, 1497, 1527, 1635, 1638, 1686, 1697, 1796, 1815, 1824, 
      1843, 1928, 1970, 1971, 1987, 1989, 2037 ], 
  [ 3, 3, 3, 4, 4, 7, 8, 8, 12, 13, 13, 15, 15, 15, 15, 16, 17, 17, 17, 17, 20, 20, 20, 20, 21, 21, 24, 
      24, 24, 26, 26, 27, 29, 29, 29, 29, 31, 31, 31, 32, 32, 35, 35, 35, 35, 36, 41, 42, 43, 43, 43, 
      45, 48, 49, 52, 52, 55, 55, 56, 56, 56, 57, 57, 66, 67, 67, 68, 68, 70, 70, 71, 71, 71, 71, 72, 
      73, 73, 73, 73, 77, 77, 82, 82, 82, 82, 83, 83, 83, 83, 85, 85, 86, 87, 87, 87, 87, 88, 88, 88, 
      91, 91, 91, 94, 94, 97, 97, 97, 97, 98, 99, 102, 103, 103, 106, 107, 108, 108, 114, 114, 114, 
      116, 116, 116, 116, 116, 116, 118, 118, 119, 120, 120, 121, 121, 124, 124, 125, 127, 127, 127, 
      127, 135, 136, 137, 137, 137, 137, 140, 146, 149, 149, 151, 151, 154, 156, 156, 159, 159, 159, 
      159, 161, 161, 163, 163, 164, 165, 167, 167, 168, 168, 171, 176, 176, 176, 177, 177, 179, 179, 
      180, 183, 183, 186, 186, 187, 188, 192, 193, 193, 195, 195, 197, 199, 199, 199, 200, 203, 203, 
      206, 208, 208, 208, 208, 209, 209, 211, 211, 211, 215, 215, 219, 219, 219, 220, 220, 223, 223, 
      223, 224, 224, 228, 228, 228, 228, 229, 229, 229, 231, 231, 232, 232, 234, 234, 238, 240, 243, 
      243, 243, 244, 244, 244, 244, 244, 245, 245, 245, 245, 247, 247, 248, 248, 248, 248, 250, 250, 
      254, 254, 254, 254, 254, 255, 255, 257, 257, 262, 264, 264, 264, 264, 267, 267, 268, 268, 271, 
      271, 271, 271, 273, 276, 277, 278, 278, 278, 279, 279, 279, 280, 280, 280, 281, 284, 284, 293, 
      297, 297, 297, 297, 298, 300, 300, 301, 301, 302, 307, 307, 307, 309, 310, 310, 310, 310, 311, 
      316, 316, 318, 326, 328, 330, 330, 331, 333, 340, 340, 340, 341, 345, 345, 345, 346, 346, 346, 
      346, 350, 352, 352, 352, 353, 353, 353, 353, 359, 359, 361, 361, 362, 362, 362, 362, 363, 365, 
      365, 365, 366, 366, 366, 366, 367, 367, 367, 367, 370, 370, 370, 371, 371, 371, 371, 371, 371, 
      372, 372, 372, 372, 375, 375, 377, 378, 378, 379, 379, 379, 382, 382, 382, 383, 383, 384, 384, 
      385, 385, 389, 389, 390, 390, 390, 390, 391, 391, 393, 393, 393, 396, 396, 396, 397, 397, 397, 
      399, 399, 402, 402, 402, 402, 402, 404, 404, 407, 408, 408, 409, 410, 410, 410, 410, 413, 413, 
      413, 413, 414, 414, 414, 416, 416, 416, 418, 418, 418, 418, 423, 424, 426, 426, 428, 428, 428, 
      428, 428, 434, 434, 435, 435, 435, 440, 440, 440, 440, 440, 441, 441, 441, 442, 442, 444, 444, 
      445, 445, 446, 446, 450, 450, 450, 450, 450, 451, 451, 452, 452, 453, 453, 456, 456, 456, 456, 
      456, 457, 459, 459, 463, 463, 463, 467, 467, 467, 467, 470, 470, 471, 475, 475, 475, 475, 476, 
      476, 477, 478, 478, 479, 486, 486, 493, 493, 494, 494, 496, 496, 497, 497, 498, 498, 504, 504, 
      505, 505, 508, 509, 511, 511, 511, 511, 516, 516, 521, 521, 522, 522, 525, 525, 526, 526, 528, 
      528, 528, 530, 532, 532, 534, 536, 536, 537, 537, 538, 540, 540, 540, 540, 540, 540, 543, 543, 
      543, 543, 543, 545, 546, 547, 549, 549, 549, 549, 550, 550, 553, 553, 555, 555, 555, 556, 556, 
      556, 556, 557, 558, 558, 558, 567, 571, 571, 571, 572, 572, 572, 572, 574, 575, 575, 578, 579, 
      584, 584, 585, 587, 587, 587, 588, 589, 589, 589, 589, 589, 590, 591, 594, 594, 595, 595, 595, 
      595, 596, 596, 596, 604, 604, 610, 614, 616, 616, 616, 616, 618, 620, 621, 622, 622, 625, 625, 
      628, 628, 630, 630, 631, 633, 633, 633, 634, 634, 634, 635, 635, 635, 637, 637, 637, 638, 638, 
      642, 642, 644, 644, 644, 644, 644, 644, 646, 646, 649, 649, 650, 650, 650, 651, 652, 652, 655, 
      655, 655, 655, 655, 655, 659, 659, 659, 660, 664, 664, 667, 667, 669, 670, 672, 672, 672, 672, 
      673, 673, 673, 674, 677, 677, 677, 678, 679, 679, 683, 683, 683, 683, 683, 683, 685, 686, 688, 
      688, 688, 689, 689, 689, 689, 689, 690, 690, 690, 692, 693, 693, 696, 696, 697, 700, 700, 700, 
      700, 701, 701, 702, 702, 702, 703, 706, 706, 706, 706, 708, 708, 708, 708, 718, 718, 718, 718, 
      721, 721, 721, 727, 727, 727, 727, 729, 729, 731, 731, 733, 733, 733, 733, 734, 737, 737, 738, 
      739, 743, 743, 743, 744, 744, 744, 744, 746, 746, 746, 749, 750, 758, 758, 758, 759, 762, 763, 
      763, 766, 767, 767, 771, 771, 774, 775, 779, 779, 780, 782, 782, 782, 782, 782, 782, 784, 784, 
      788, 788, 788, 789, 790, 793, 793, 794, 794, 796, 796, 796, 799, 801, 803, 803, 804, 805, 805, 
      806, 808, 808, 810, 810, 810, 810, 812, 815, 816, 816, 819, 819, 819, 819, 821, 821, 822, 822, 
      822, 822, 823, 824, 827, 827, 828, 829, 830, 830, 833, 835, 835, 835, 835, 835, 835, 837, 838, 
      838, 838, 844, 844, 849, 849, 852, 852, 856, 856, 856, 856, 857, 857, 857, 857, 859, 859, 860, 
      860, 862, 865, 866, 867, 867, 870, 873, 873, 874, 874, 874, 877, 878, 878, 884, 884, 885, 885, 
      885, 886, 886, 886, 887, 887, 889, 891, 891, 895, 895, 901, 901, 901, 901, 904, 904, 904, 904, 
      907, 907, 907, 907, 908, 908, 910, 910, 912, 912, 913, 914, 917, 918, 918, 918, 924, 924, 925, 
      925, 927, 930, 930, 931, 931, 936, 936, 939, 939, 941, 941, 942, 942, 942, 945, 951, 952, 952, 
      953, 953, 955, 955, 955, 956, 956, 957, 959, 960, 960, 963, 963, 963, 964, 964, 964, 964, 965, 
      965, 965, 965, 969, 969, 969, 969, 974, 974, 974, 976, 978, 978, 978, 979, 979, 979, 979, 979, 
      979, 980, 980, 982, 982, 983, 984, 985, 985, 985, 987, 987, 987, 990, 990, 991, 991, 992, 992, 
      992, 992, 992, 993, 994, 994, 996, 996, 996, 996, 996, 996, 998, 998, 998, 998, 998, 1002, 1002, 
      1005, 1008, 1009, 1009, 1009, 1011, 1011, 1011, 1011, 1011, 1011, 1015, 1015, 1016, 1016, 1017, 
      1017, 1018, 1020, 1020, 1021, 1024, 1024, 1026, 1026, 1026, 1028, 1028, 1029, 1031, 1031, 1032, 
      1034, 1034, 1034, 1034, 1040, 1040, 1041, 1041, 1043, 1043, 1043, 1043, 1044, 1047, 1047, 1047, 
      1048, 1048, 1049, 1049, 1050, 1052, 1052, 1053, 1053, 1053, 1053, 1054, 1054, 1054, 1054, 1055, 
      1056, 1057, 1057, 1058, 1058, 1058, 1058, 1060, 1062, 1062, 1062, 1063, 1063, 1064, 1066, 1066, 
      1070, 1070, 1071, 1071, 1074, 1076, 1076, 1079, 1079, 1079, 1080, 1082, 1082, 1082, 1085, 1088, 
      1090, 1090, 1092, 1094, 1094, 1095, 1095, 1095, 1095, 1097, 1097, 1100, 1101, 1101, 1101, 1104, 
      1107, 1107, 1107, 1107, 1108, 1109, 1109, 1110, 1110, 1115, 1115, 1115, 1115, 1116, 1117, 1117, 
      1119, 1123, 1123, 1123, 1124, 1124, 1125, 1126, 1126, 1131, 1131, 1132, 1132, 1133, 1135, 1135, 
      1135, 1135, 1136, 1136, 1138, 1139, 1139, 1139, 1139, 1142, 1142, 1142, 1144, 1145, 1145, 1147, 
      1147, 1148, 1149, 1151, 1151, 1151, 1151, 1153, 1158, 1159, 1161, 1164, 1164, 1165, 1165, 1170, 
      1172, 1172, 1173, 1175, 1175, 1179, 1180, 1181, 1182, 1182, 1182, 1182, 1184, 1187, 1187, 1189, 
      1189, 1189, 1191, 1191, 1191, 1191, 1191, 1195, 1195, 1196, 1196, 1197, 1197, 1197, 1199, 1199, 
      1199, 1199, 1200, 1201, 1201, 1201, 1201, 1202, 1203, 1203, 1203, 1203, 1203, 1203, 1211, 1211, 
      1211, 1211, 1212, 1215, 1215, 1215, 1215, 1217, 1217, 1223, 1227, 1227, 1227, 1227, 1229, 1229, 
      1232, 1243, 1248, 1248, 1249, 1250, 1253, 1253, 1254, 1257, 1257, 1257, 1257, 1258, 1258, 1259, 
      1259, 1259, 1259, 1260, 1260, 1262, 1262, 1262, 1262, 1266, 1268, 1270, 1270, 1270, 1270, 1270, 
      1272, 1273, 1273, 1273, 1273, 1282, 1282, 1283, 1284, 1284, 1284, 1285, 1285, 1291, 1293, 1296, 
      1296, 1297, 1299, 1299, 1301, 1301, 1301, 1301, 1302, 1314, 1314, 1314, 1314, 1314, 1316, 1316, 
      1316, 1319, 1319, 1319, 1319, 1322, 1324, 1324, 1325, 1326, 1326, 1327, 1327, 1331, 1334, 1335, 
      1339, 1339, 1339, 1339, 1340, 1340, 1341, 1343, 1345, 1346, 1346, 1349, 1353, 1353, 1353, 1353, 
      1355, 1357, 1357, 1357, 1358, 1358, 1358, 1359, 1360, 1363, 1365, 1365, 1365, 1366, 1371, 1371, 
      1371, 1371, 1373, 1373, 1373, 1376, 1376, 1377, 1377, 1377, 1378, 1378, 1379, 1379, 1380, 1380, 
      1380, 1380, 1381, 1381, 1381, 1383, 1384, 1384, 1384, 1389, 1389, 1389, 1389, 1390, 1391, 1391, 
      1393, 1393, 1394, 1395, 1395, 1395, 1395, 1395, 1395, 1396, 1397, 1397, 1397, 1397, 1401, 1405, 
      1405, 1405, 1408, 1410, 1414, 1414, 1415, 1415, 1415, 1418, 1418, 1420, 1423, 1423, 1424, 1425, 
      1425, 1428, 1428, 1428, 1428, 1429, 1429, 1430, 1430, 1430, 1430, 1431, 1431, 1431, 1431, 1432, 
      1432, 1433, 1434, 1436, 1436, 1438, 1438, 1438, 1441, 1441, 1441, 1441, 1442, 1442, 1444, 1444, 
      1444, 1444, 1445, 1445, 1446, 1446, 1449, 1449, 1455, 1459, 1459, 1460, 1460, 1460, 1462, 1464, 
      1464, 1464, 1464, 1468, 1470, 1470, 1470, 1470, 1476, 1476, 1476, 1476, 1477, 1483, 1487, 1487, 
      1489, 1493, 1493, 1493, 1493, 1500, 1501, 1501, 1501, 1501, 1501, 1502, 1502, 1502, 1502, 1502, 
      1502, 1505, 1505, 1506, 1506, 1507, 1507, 1507, 1507, 1508, 1509, 1511, 1511, 1511, 1511, 1513, 
      1518, 1522, 1523, 1523, 1525, 1525, 1525, 1525, 1525, 1525, 1527, 1527, 1527, 1528, 1528, 1529, 
      1530, 1530, 1530, 1530, 1530, 1532, 1532, 1534, 1534, 1534, 1534, 1535, 1535, 1535, 1535, 1537, 
      1537, 1539, 1540, 1540, 1540, 1540, 1541, 1541, 1541, 1541, 1541, 1543, 1543, 1543, 1543, 1544, 
      1544, 1544, 1548, 1550, 1550, 1550, 1550, 1551, 1553, 1553, 1553, 1553, 1554, 1555, 1555, 1557, 
      1557, 1558, 1564, 1565, 1565, 1565, 1565, 1565, 1565, 1568, 1568, 1568, 1570, 1570, 1570, 1570, 
      1574, 1575, 1575, 1575, 1580, 1580, 1580, 1585, 1585, 1586, 1586, 1586, 1586, 1589, 1589, 1589, 
      1592, 1595, 1595, 1596, 1597, 1597, 1597, 1600, 1600, 1600, 1601, 1603, 1604, 1605, 1605, 1606, 
      1607, 1607, 1607, 1607, 1609, 1611, 1612, 1613, 1613, 1613, 1615, 1616, 1618, 1623, 1624, 1624, 
      1627, 1630, 1631, 1632, 1632, 1632, 1632, 1633, 1633, 1634, 1634, 1634, 1638, 1640, 1640, 1641, 
      1641, 1644, 1644, 1647, 1647, 1647, 1654, 1654, 1655, 1655, 1655, 1660, 1660, 1667, 1667, 1668, 
      1668, 1670, 1670, 1672, 1672, 1673, 1673, 1674, 1676, 1676, 1678, 1678, 1678, 1678, 1678, 1678, 
      1682, 1682, 1687, 1687, 1687, 1687, 1689, 1689, 1689, 1689, 1689, 1690, 1690, 1690, 1691, 1691, 
      1693, 1693, 1694, 1694, 1694, 1695, 1696, 1696, 1697, 1697, 1698, 1701, 1701, 1702, 1702, 1702, 
      1703, 1703, 1706, 1709, 1709, 1710, 1710, 1710, 1710, 1710, 1710, 1711, 1713, 1714, 1714, 1716, 
      1718, 1718, 1721, 1721, 1721, 1721, 1721, 1723, 1723, 1723, 1726, 1726, 1730, 1730, 1737, 1739, 
      1739, 1739, 1739, 1741, 1741, 1741, 1742, 1742, 1743, 1744, 1744, 1745, 1745, 1747, 1749, 1749, 
      1749, 1749, 1749, 1749, 1752, 1752, 1752, 1753, 1754, 1758, 1764, 1764, 1764, 1764, 1765, 1765, 
      1765, 1767, 1772, 1772, 1772, 1772, 1772, 1772, 1773, 1773, 1774, 1774, 1774, 1774, 1775, 1775, 
      1775, 1775, 1777, 1777, 1777, 1779, 1779, 1781, 1781, 1781, 1782, 1782, 1786, 1788, 1788, 1789, 
      1790, 1794, 1794, 1796, 1797, 1797, 1797, 1800, 1800, 1800, 1800, 1803, 1806, 1808, 1813, 1814, 
      1814, 1814, 1816, 1816, 1819, 1819, 1824, 1825, 1825, 1826, 1826, 1829, 1829, 1829, 1830, 1830, 
      1833, 1833, 1836, 1836, 1836, 1836, 1837, 1837, 1838, 1844, 1844, 1845, 1848, 1850, 1850, 1852, 
      1855, 1855, 1855, 1859, 1859, 1862, 1862, 1865, 1866, 1867, 1868, 1868, 1868, 1868, 1870, 1870, 
      1871, 1871, 1871, 1875, 1876, 1876, 1876, 1876, 1876, 1877, 1878, 1878, 1879, 1879, 1879, 1879, 
      1882, 1882, 1882, 1884, 1891, 1891, 1892, 1893, 1894, 1894, 1895, 1895, 1903, 1903, 1904, 1905, 
      1906, 1906, 1907, 1907, 1907, 1910, 1913, 1916, 1921, 1921, 1922, 1923, 1923, 1930, 1930, 1930, 
      1930, 1936, 1936, 1939, 1939, 1940, 1940, 1940, 1940, 1943, 1943, 1945, 1945, 1947, 1947, 1947, 
      1949, 1949, 1949, 1950, 1950, 1955, 1959, 1963, 1963, 1963, 1963, 1965, 1966, 1966, 1972, 1972, 
      1972, 1972, 1972, 1972, 1973, 1973, 1974, 1974, 1980, 1989, 1994, 1994, 1994, 1996, 1998, 1999, 
      2001, 2003, 2003, 2005, 2011, 2011, 2011, 2011, 2016, 2016, 2017, 2017, 2017, 2017, 2019, 2019, 
      2027, 2027, 2028, 2028, 2029, 2030, 2031, 2031, 2032, 2032, 2032, 2033, 2034, 2034, 2037, 2038, 
      2038, 2038, 2038, 2039, 2039, 2045, 2045, 2045, 2046, 2046, 2046, 2046, 2050, 2050, 2050, 2050, 
      2051, 2052 ] ]