[ [ 4, 6, 9, 15, 25, 29, 34, 35, 43, 44, 50, 51, 58, 62, 63, 72, 79, 80, 84, 92, 96, 97, 99, 101, 102, 
      103, 106, 112, 133, 140, 150, 151, 152, 156, 161, 163, 166, 169, 170, 177, 180, 182, 191, 193, 
      202, 205, 209, 210, 215, 218, 220, 223, 225, 229, 230, 231, 234, 239, 240, 245, 247, 255, 256, 
      259, 260, 263, 269, 280, 281, 284, 286, 297, 305, 308, 310, 313, 314, 316, 319, 328, 338, 348, 
      352, 355, 356, 357, 361, 363, 367, 369, 370, 380, 392, 397, 399, 400, 405, 406, 416, 424, 430, 
      435, 436, 438, 440, 443, 445, 448, 453, 458, 461, 465, 467, 480, 488, 489, 490, 491, 492, 493, 
      494, 498, 500, 502, 505, 507, 520, 522, 533, 535, 537, 538, 539, 541, 544, 548, 564, 573, 576, 
      578, 579, 583, 584, 587, 595, 604, 607, 611, 612, 613, 615, 616, 619, 622, 631, 634, 635, 637, 
      640, 650, 653, 660, 663, 668, 670, 679, 680, 684, 687, 689, 691, 693, 695, 697, 704, 709, 713, 
      721, 723, 727, 731, 737, 741, 742, 743, 745, 749, 751, 756, 769, 771, 773, 778, 779, 783, 787, 
      791, 793, 796, 800, 804, 805, 807, 808, 810, 814, 815, 818, 827, 828, 834, 843, 846, 847, 854, 
      856, 857, 860, 861, 863, 865, 874, 875, 880, 885, 886, 892, 894, 896, 899, 900, 903, 907, 913, 
      914, 917, 920, 921, 923, 924, 926, 927, 935, 936, 938, 943, 947, 954, 959, 960, 961, 965, 967, 
      971, 972, 978, 981, 986, 988, 995, 999, 1001, 1006, 1007, 1013, 1022, 1030, 1033, 1037, 1041, 
      1043, 1053, 1054, 1055, 1056, 1057, 1060, 1074, 1078, 1080, 1087, 1094, 1096, 1103, 1104, 1120, 
      1122, 1128, 1135, 1138, 1142, 1143, 1150, 1156, 1158, 1159, 1164, 1165, 1166, 1175, 1176, 1187, 
      1191, 1193, 1195, 1199, 1200, 1201, 1205, 1208, 1216, 1217, 1218, 1223, 1227, 1233, 1243, 1244, 
      1261, 1263, 1284, 1286, 1291, 1293, 1294, 1301, 1304, 1310, 1313, 1316, 1317, 1322, 1326, 1328, 
      1330, 1338, 1342, 1346, 1347, 1350, 1352, 1355, 1356, 1357, 1360, 1362, 1363, 1367, 1368, 1369, 
      1371, 1372, 1373, 1374, 1378, 1384, 1387, 1392, 1394, 1396, 1400, 1401, 1414, 1419, 1424, 1425, 
      1427, 1431, 1439, 1451, 1459, 1462, 1463, 1467, 1469, 1473, 1476, 1480, 1485, 1487, 1488, 1489, 
      1495, 1499, 1500, 1517, 1522, 1524, 1526, 1530, 1531, 1532, 1543, 1550, 1556, 1573, 1576, 1583, 
      1586, 1587, 1588, 1589, 1601, 1602, 1603, 1608, 1613, 1617, 1619, 1620, 1624, 1626, 1634, 1638, 
      1639, 1640, 1641, 1646, 1652, 1659, 1680, 1686, 1692, 1694, 1701, 1704, 1706, 1707, 1709, 1710, 
      1716, 1721, 1722, 1724, 1728, 1737, 1739, 1744, 1747, 1748, 1766, 1767, 1773, 1782, 1794, 1795, 
      1798, 1799, 1800, 1808, 1809, 1818, 1827, 1839, 1846, 1851, 1852, 1867, 1879, 1880, 1881, 1884, 
      1887, 1890, 1896, 1898, 1905, 1906, 1908, 1913, 1924, 1925, 1934, 1939, 1946, 1948, 1949, 1951, 
      1953, 1956, 1957, 1958, 1959, 1967, 1968, 1971, 1973, 1974, 1975, 1976, 1978, 1981, 1982, 1983, 
      1986, 1989, 2001, 2005, 2008, 2009, 2011, 2012, 2014, 2016 ], 
  [ 4, 4, 4, 4, 6, 6, 6, 7, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 16, 17, 17, 17, 22, 23, 23, 23, 24, 
      24, 24, 24, 27, 33, 40, 40, 40, 40, 41, 45, 45, 46, 46, 46, 48, 48, 50, 52, 52, 53, 53, 55, 55, 
      55, 55, 55, 59, 59, 59, 60, 62, 62, 64, 68, 68, 68, 72, 74, 75, 84, 84, 84, 88, 89, 89, 89, 91, 
      91, 94, 96, 96, 96, 96, 96, 98, 98, 98, 98, 98, 100, 100, 100, 100, 100, 105, 106, 106, 106, 107, 
      107, 107, 108, 108, 108, 109, 109, 110, 110, 110, 113, 114, 118, 118, 118, 118, 122, 123, 123, 
      123, 123, 123, 124, 129, 130, 130, 130, 130, 135, 135, 135, 135, 140, 140, 140, 140, 140, 144, 
      144, 144, 145, 145, 150, 150, 150, 151, 158, 160, 160, 160, 160, 167, 169, 170, 177, 177, 177, 
      177, 177, 180, 180, 180, 181, 183, 183, 183, 183, 186, 190, 195, 195, 195, 195, 195, 195, 195, 
      197, 198, 198, 198, 199, 200, 200, 200, 200, 200, 200, 205, 205, 205, 205, 207, 210, 210, 212, 
      212, 212, 212, 213, 216, 217, 217, 217, 218, 218, 218, 220, 221, 221, 221, 221, 221, 223, 223, 
      225, 226, 226, 226, 226, 226, 227, 227, 228, 229, 229, 229, 229, 229, 230, 232, 235, 235, 236, 
      236, 238, 238, 238, 247, 249, 252, 252, 252, 253, 254, 255, 256, 262, 262, 265, 265, 265, 265, 
      265, 266, 266, 266, 267, 267, 267, 267, 267, 270, 270, 270, 272, 275, 276, 277, 278, 278, 278, 
      279, 279, 279, 280, 280, 281, 281, 281, 282, 283, 285, 285, 288, 288, 288, 291, 291, 291, 293, 
      293, 293, 293, 294, 296, 303, 306, 307, 307, 307, 308, 308, 309, 309, 309, 309, 317, 321, 325, 
      329, 329, 329, 329, 329, 330, 331, 331, 331, 331, 334, 335, 335, 335, 335, 335, 336, 336, 336, 
      336, 338, 338, 338, 338, 338, 338, 338, 340, 340, 340, 342, 344, 347, 350, 353, 353, 353, 353, 
      353, 354, 355, 356, 356, 358, 360, 360, 360, 360, 360, 360, 360, 363, 363, 363, 363, 363, 363, 
      363, 364, 364, 364, 364, 364, 367, 369, 369, 372, 375, 375, 375, 375, 378, 378, 378, 379, 379, 
      379, 380, 380, 380, 383, 386, 386, 386, 387, 388, 390, 391, 392, 394, 394, 394, 394, 396, 396, 
      397, 397, 399, 399, 405, 405, 406, 406, 406, 407, 407, 409, 409, 410, 411, 416, 416, 416, 420, 
      420, 420, 420, 432, 432, 432, 432, 432, 433, 438, 443, 444, 444, 444, 444, 444, 444, 447, 448, 
      450, 451, 451, 451, 452, 452, 455, 458, 461, 462, 462, 462, 462, 462, 464, 465, 466, 466, 469, 
      469, 470, 472, 474, 476, 481, 483, 484, 484, 485, 490, 493, 499, 500, 503, 503, 503, 503, 503, 
      503, 505, 510, 511, 514, 514, 514, 519, 519, 520, 520, 520, 520, 522, 522, 522, 522, 522, 522, 
      523, 523, 525, 525, 525, 525, 526, 526, 531, 531, 531, 532, 536, 537, 540, 540, 540, 540, 540, 
      542, 542, 542, 542, 542, 545, 545, 546, 546, 552, 552, 552, 552, 552, 552, 552, 553, 553, 555, 
      556, 556, 557, 557, 561, 563, 563, 563, 566, 566, 566, 566, 568, 569, 569, 572, 572, 572, 578, 
      580, 583, 583, 583, 583, 585, 585, 585, 585, 590, 592, 592, 592, 592, 592, 592, 593, 593, 594, 
      594, 594, 595, 595, 597, 598, 598, 600, 601, 601, 605, 607, 607, 614, 614, 614, 615, 615, 617, 
      617, 617, 617, 617, 618, 621, 622, 623, 624, 625, 625, 628, 630, 630, 630, 632, 633, 633, 633, 
      633, 637, 637, 637, 637, 637, 639, 639, 640, 642, 642, 642, 642, 642, 643, 644, 652, 652, 652, 
      652, 652, 652, 652, 654, 656, 657, 658, 658, 662, 664, 666, 666, 669, 669, 669, 672, 674, 676, 
      676, 676, 679, 679, 679, 679, 679, 682, 685, 685, 685, 685, 686, 690, 691, 693, 693, 693, 695, 
      695, 698, 701, 703, 703, 704, 704, 706, 712, 712, 712, 712, 713, 714, 715, 718, 721, 721, 721, 
      721, 721, 723, 723, 725, 735, 737, 738, 739, 740, 743, 743, 743, 743, 743, 746, 747, 747, 749, 
      749, 751, 753, 753, 757, 758, 758, 758, 758, 758, 758, 761, 761, 761, 761, 761, 763, 764, 764, 
      764, 764, 765, 765, 767, 767, 771, 772, 772, 772, 772, 775, 775, 775, 776, 778, 779, 779, 781, 
      785, 789, 789, 789, 789, 789, 792, 793, 796, 798, 798, 798, 800, 802, 804, 804, 805, 806, 806, 
      806, 806, 807, 808, 809, 809, 809, 809, 810, 812, 814, 814, 814, 814, 814, 814, 814, 815, 815, 
      817, 822, 823, 823, 823, 823, 825, 828, 829, 829, 830, 832, 832, 837, 837, 837, 837, 837, 843, 
      844, 845, 845, 846, 848, 848, 848, 848, 848, 848, 851, 852, 855, 859, 859, 860, 860, 862, 863, 
      865, 865, 867, 867, 867, 869, 869, 870, 871, 871, 871, 873, 878, 878, 881, 881, 881, 881, 881, 
      881, 895, 895, 895, 895, 895, 898, 903, 903, 903, 903, 903, 905, 905, 905, 905, 905, 907, 908, 
      909, 914, 914, 915, 915, 915, 915, 915, 915, 917, 918, 918, 918, 919, 919, 922, 922, 922, 924, 
      924, 924, 924, 924, 925, 927, 928, 928, 928, 928, 929, 929, 931, 931, 932, 935, 935, 935, 938, 
      938, 938, 938, 938, 940, 940, 942, 942, 942, 942, 944, 945, 945, 949, 950, 950, 951, 951, 951, 
      951, 953, 953, 953, 953, 953, 953, 953, 955, 955, 956, 957, 958, 962, 962, 963, 963, 965, 966, 
      966, 966, 967, 967, 967, 967, 967, 968, 969, 969, 969, 970, 970, 970, 981, 981, 981, 981, 981, 
      985, 986, 988, 990, 990, 990, 990, 990, 992, 992, 992, 993, 993, 993, 995, 995, 995, 995, 995, 
      996, 997, 997, 997, 999, 1000, 1002, 1002, 1002, 1002, 1002, 1003, 1003, 1005, 1007, 1007, 1010, 
      1010, 1010, 1013, 1013, 1014, 1014, 1018, 1021, 1021, 1022, 1023, 1025, 1025, 1032, 1032, 1032, 
      1032, 1032, 1032, 1033, 1033, 1033, 1033, 1033, 1033, 1036, 1036, 1037, 1037, 1037, 1037, 1037, 
      1043, 1045, 1045, 1045, 1045, 1045, 1047, 1047, 1047, 1047, 1047, 1048, 1048, 1050, 1053, 1053, 
      1053, 1053, 1053, 1054, 1055, 1056, 1057, 1057, 1057, 1057, 1057, 1057, 1059, 1060, 1061, 1061, 
      1061, 1061, 1062, 1062, 1062, 1062, 1064, 1065, 1065, 1065, 1065, 1065, 1065, 1066, 1068, 1069, 
      1069, 1069, 1069, 1072, 1072, 1075, 1078, 1078, 1079, 1079, 1081, 1081, 1081, 1082, 1082, 1082, 
      1082, 1082, 1084, 1085, 1088, 1089, 1091, 1091, 1091, 1091, 1091, 1095, 1095, 1096, 1096, 1097, 
      1100, 1100, 1100, 1101, 1104, 1104, 1104, 1104, 1105, 1111, 1113, 1114, 1114, 1114, 1114, 1117, 
      1119, 1119, 1121, 1122, 1122, 1122, 1122, 1122, 1124, 1127, 1127, 1127, 1127, 1127, 1127, 1127, 
      1128, 1128, 1128, 1134, 1134, 1134, 1134, 1134, 1134, 1134, 1135, 1135, 1136, 1137, 1141, 1141, 
      1141, 1141, 1141, 1142, 1143, 1145, 1145, 1148, 1148, 1148, 1148, 1148, 1148, 1149, 1149, 1149, 
      1150, 1150, 1155, 1156, 1157, 1157, 1157, 1158, 1159, 1159, 1159, 1159, 1164, 1164, 1164, 1176, 
      1176, 1176, 1176, 1176, 1178, 1178, 1178, 1178, 1178, 1178, 1179, 1182, 1182, 1183, 1188, 1188, 
      1188, 1188, 1189, 1190, 1192, 1192, 1193, 1196, 1196, 1196, 1196, 1196, 1196, 1197, 1199, 1199, 
      1199, 1199, 1199, 1202, 1202, 1203, 1204, 1204, 1204, 1205, 1205, 1206, 1207, 1210, 1210, 1210, 
      1213, 1213, 1215, 1215, 1215, 1216, 1216, 1218, 1225, 1225, 1225, 1229, 1230, 1230, 1230, 1230, 
      1230, 1230, 1231, 1233, 1233, 1233, 1234, 1234, 1239, 1241, 1241, 1241, 1241, 1245, 1248, 1248, 
      1248, 1248, 1248, 1254, 1256, 1258, 1259, 1259, 1263, 1263, 1266, 1266, 1269, 1274, 1274, 1274, 
      1281, 1285, 1285, 1285, 1286, 1287, 1289, 1289, 1289, 1289, 1289, 1289, 1292, 1293, 1293, 1293, 
      1296, 1298, 1298, 1299, 1304, 1305, 1305, 1305, 1307, 1307, 1307, 1307, 1307, 1311, 1311, 1315, 
      1316, 1316, 1316, 1319, 1320, 1320, 1324, 1324, 1324, 1325, 1326, 1327, 1327, 1327, 1327, 1328, 
      1328, 1329, 1329, 1329, 1330, 1330, 1331, 1331, 1332, 1332, 1332, 1338, 1338, 1342, 1343, 1343, 
      1343, 1343, 1343, 1343, 1346, 1346, 1346, 1346, 1346, 1349, 1349, 1349, 1349, 1349, 1349, 1349, 
      1350, 1353, 1353, 1353, 1353, 1354, 1355, 1355, 1355, 1358, 1359, 1359, 1360, 1360, 1364, 1364, 
      1364, 1365, 1365, 1365, 1366, 1367, 1367, 1367, 1370, 1371, 1371, 1372, 1372, 1372, 1375, 1376, 
      1379, 1379, 1379, 1383, 1383, 1386, 1386, 1387, 1390, 1390, 1390, 1390, 1390, 1392, 1393, 1395, 
      1397, 1398, 1399, 1399, 1405, 1405, 1405, 1407, 1411, 1413, 1415, 1415, 1415, 1418, 1419, 1419, 
      1420, 1420, 1423, 1426, 1426, 1430, 1432, 1432, 1433, 1434, 1436, 1440, 1444, 1445, 1445, 1445, 
      1445, 1449, 1451, 1457, 1458, 1459, 1460, 1462, 1465, 1465, 1465, 1467, 1467, 1467, 1468, 1468, 
      1468, 1468, 1469, 1471, 1472, 1473, 1473, 1475, 1475, 1478, 1478, 1478, 1480, 1484, 1484, 1487, 
      1488, 1488, 1488, 1488, 1488, 1488, 1489, 1489, 1489, 1489, 1489, 1489, 1492, 1498, 1505, 1509, 
      1510, 1513, 1514, 1514, 1514, 1514, 1514, 1515, 1517, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 
      1521, 1522, 1522, 1522, 1522, 1522, 1523, 1524, 1525, 1525, 1525, 1525, 1531, 1534, 1534, 1535, 
      1535, 1535, 1535, 1539, 1539, 1539, 1540, 1542, 1542, 1542, 1542, 1542, 1545, 1546, 1547, 1547, 
      1547, 1547, 1547, 1547, 1552, 1553, 1553, 1553, 1553, 1553, 1553, 1557, 1557, 1557, 1557, 1557, 
      1557, 1558, 1559, 1561, 1563, 1563, 1563, 1566, 1570, 1571, 1571, 1571, 1574, 1574, 1574, 1574, 
      1574, 1575, 1575, 1578, 1579, 1579, 1580, 1580, 1580, 1580, 1589, 1590, 1590, 1593, 1593, 1594, 
      1594, 1594, 1594, 1594, 1595, 1595, 1597, 1602, 1602, 1605, 1606, 1606, 1609, 1612, 1614, 1614, 
      1615, 1616, 1623, 1625, 1633, 1634, 1636, 1637, 1638, 1639, 1639, 1639, 1640, 1640, 1641, 1642, 
      1642, 1642, 1644, 1647, 1647, 1651, 1655, 1655, 1660, 1660, 1661, 1662, 1662, 1663, 1663, 1663, 
      1663, 1663, 1664, 1664, 1664, 1664, 1668, 1669, 1670, 1671, 1672, 1672, 1672, 1675, 1678, 1679, 
      1684, 1684, 1684, 1684, 1686, 1687, 1687, 1687, 1689, 1689, 1689, 1689, 1695, 1695, 1695, 1695, 
      1697, 1700, 1700, 1700, 1701, 1701, 1701, 1702, 1702, 1702, 1702, 1702, 1702, 1702, 1707, 1707, 
      1707, 1713, 1715, 1716, 1716, 1717, 1717, 1717, 1717, 1717, 1717, 1718, 1718, 1718, 1718, 1719, 
      1719, 1719, 1719, 1719, 1727, 1732, 1732, 1732, 1732, 1733, 1734, 1737, 1738, 1738, 1738, 1738, 
      1739, 1741, 1742, 1742, 1742, 1742, 1742, 1745, 1748, 1749, 1749, 1750, 1754, 1754, 1754, 1755, 
      1755, 1755, 1755, 1755, 1757, 1758, 1758, 1758, 1758, 1758, 1761, 1761, 1761, 1762, 1762, 1766, 
      1766, 1766, 1766, 1766, 1766, 1767, 1769, 1770, 1775, 1779, 1784, 1785, 1785, 1786, 1786, 1786, 
      1786, 1787, 1788, 1788, 1791, 1791, 1795, 1795, 1796, 1796, 1797, 1798, 1799, 1800, 1802, 1802, 
      1803, 1805, 1806, 1806, 1806, 1806, 1806, 1806, 1807, 1807, 1808, 1808, 1808, 1809, 1809, 1809, 
      1809, 1809, 1812, 1812, 1812, 1812, 1812, 1812, 1813, 1815, 1816, 1816, 1816, 1817, 1818, 1827, 
      1830, 1830, 1831, 1831, 1831, 1834, 1835, 1836, 1836, 1836, 1836, 1836, 1840, 1841, 1846, 1846, 
      1846, 1847, 1851, 1851, 1851, 1852, 1853, 1853, 1854, 1854, 1857, 1857, 1857, 1857, 1857, 1863, 
      1863, 1867, 1867, 1869, 1872, 1873, 1874, 1874, 1875, 1876, 1876, 1877, 1877, 1877, 1877, 1877, 
      1877, 1878, 1879, 1882, 1882, 1882, 1886, 1886, 1888, 1890, 1891, 1891, 1891, 1891, 1896, 1896, 
      1897, 1898, 1898, 1899, 1900, 1900, 1903, 1903, 1903, 1907, 1907, 1907, 1907, 1907, 1908, 1908, 
      1908, 1908, 1908, 1910, 1910, 1913, 1914, 1914, 1914, 1915, 1916, 1916, 1916, 1916, 1916, 1916, 
      1917, 1918, 1918, 1919, 1919, 1919, 1920, 1921, 1922, 1923, 1923, 1923, 1925, 1925, 1925, 1927, 
      1927, 1927, 1927, 1927, 1929, 1930, 1930, 1930, 1931, 1931, 1931, 1931, 1931, 1937, 1937, 1937, 
      1937, 1937, 1938, 1938, 1938, 1939, 1939, 1939, 1940, 1943, 1945, 1945, 1945, 1950, 1950, 1950, 
      1950, 1950, 1953, 1953, 1953, 1953, 1953, 1954, 1954, 1954, 1954, 1954, 1957, 1959, 1959, 1959, 
      1959, 1959, 1959, 1959, 1961, 1961, 1961, 1962, 1964, 1964, 1964, 1964, 1965, 1967, 1967, 1968, 
      1970, 1970, 1972, 1972, 1975, 1975, 1975, 1975, 1977, 1980, 1980, 1980, 1981, 1984, 1985, 1989, 
      1989, 1990, 1993, 1998, 2001, 2001, 2001, 2006, 2006, 2006, 2006, 2006, 2006, 2006, 2007, 2009, 
      2009, 2012, 2012, 2014 ] ]