[ [ 38, 73, 78, 80, 90, 94, 129, 147, 157, 179, 220, 240, 246, 270, 271, 277, 285, 293, 299, 317, 332, 
      334, 353, 356, 367, 408, 419, 421, 433, 437, 472, 477, 478, 479, 491, 495, 496, 516, 564, 575, 
      578, 584, 600, 603, 604, 605, 611, 621, 645, 647, 716, 728, 731, 745, 747, 774, 803, 805, 821, 
      836, 847, 914, 916, 921, 936, 939, 943, 944, 968, 974, 976, 993, 1001, 1003, 1035, 1047, 1109, 
      1132, 1164, 1172, 1190, 1212, 1222, 1231, 1236, 1242, 1251, 1267, 1271, 1272, 1297, 1337, 1381, 
      1406, 1419, 1427, 1428, 1437, 1443, 1467, 1469, 1477, 1500, 1521, 1525, 1534, 1573, 1586, 1589, 
      1607, 1656, 1663, 1667, 1705, 1719, 1723, 1726, 1778, 1780, 1791, 1812, 1830 ], 
  [ 1, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 13, 14, 14, 15, 15, 18, 18, 19, 21, 21, 22, 24, 25, 
      27, 29, 30, 31, 31, 32, 33, 33, 35, 35, 36, 37, 39, 40, 41, 42, 42, 43, 44, 45, 46, 46, 47, 48, 
      48, 50, 50, 53, 54, 54, 56, 57, 58, 59, 60, 60, 61, 61, 62, 63, 64, 65, 67, 68, 69, 70, 75, 75, 
      76, 76, 77, 78, 78, 79, 79, 82, 82, 83, 83, 84, 85, 85, 86, 87, 90, 90, 93, 93, 94, 95, 96, 96, 
      97, 98, 98, 99, 102, 104, 105, 106, 108, 111, 111, 112, 113, 114, 115, 115, 116, 116, 118, 119, 
      120, 121, 122, 123, 123, 124, 125, 126, 126, 127, 128, 129, 130, 131, 133, 133, 134, 135, 138, 
      139, 139, 140, 141, 143, 145, 145, 146, 147, 147, 149, 150, 150, 152, 152, 153, 154, 155, 161, 
      163, 165, 167, 168, 169, 170, 170, 171, 172, 174, 175, 178, 179, 179, 180, 181, 184, 184, 185, 
      187, 188, 188, 189, 189, 192, 192, 193, 194, 195, 196, 199, 200, 202, 203, 205, 206, 206, 207, 
      209, 209, 210, 210, 211, 212, 213, 213, 214, 215, 216, 216, 217, 217, 218, 219, 221, 221, 222, 
      223, 225, 225, 226, 226, 229, 230, 232, 233, 233, 234, 234, 240, 241, 242, 243, 243, 244, 246, 
      247, 247, 248, 248, 249, 249, 252, 253, 253, 254, 256, 256, 257, 258, 260, 261, 261, 262, 263, 
      263, 264, 266, 266, 269, 272, 273, 275, 276, 277, 281, 283, 284, 285, 286, 287, 288, 290, 291, 
      292, 293, 293, 294, 296, 297, 298, 298, 300, 301, 302, 302, 303, 304, 305, 306, 306, 307, 308, 
      309, 310, 310, 311, 311, 312, 313, 313, 315, 315, 316, 317, 317, 318, 319, 323, 325, 325, 326, 
      327, 328, 329, 329, 331, 331, 332, 333, 333, 334, 335, 335, 337, 338, 338, 339, 340, 340, 341, 
      341, 342, 343, 344, 344, 345, 346, 347, 351, 352, 352, 353, 354, 355, 356, 356, 359, 360, 361, 
      361, 362, 363, 364, 364, 365, 366, 366, 367, 370, 372, 372, 373, 374, 375, 375, 376, 378, 379, 
      380, 384, 385, 386, 386, 387, 388, 388, 390, 391, 391, 392, 392, 393, 396, 396, 397, 398, 399, 
      400, 401, 402, 403, 403, 405, 406, 407, 408, 408, 409, 410, 411, 412, 414, 415, 415, 417, 417, 
      418, 418, 419, 421, 423, 424, 424, 425, 426, 427, 428, 431, 432, 432, 433, 433, 434, 434, 436, 
      437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 450, 451, 452, 453, 454, 455, 456, 
      456, 457, 460, 460, 461, 462, 462, 463, 464, 464, 465, 465, 467, 468, 470, 470, 471, 472, 473, 
      473, 474, 475, 475, 476, 477, 478, 480, 481, 482, 483, 483, 484, 485, 486, 487, 488, 489, 489, 
      490, 490, 491, 491, 494, 496, 498, 500, 501, 503, 504, 505, 506, 507, 508, 508, 509, 510, 511, 
      512, 512, 513, 514, 515, 516, 517, 518, 518, 519, 519, 523, 524, 526, 527, 530, 531, 532, 534, 
      535, 535, 536, 537, 537, 538, 538, 539, 539, 541, 542, 543, 544, 544, 546, 547, 548, 549, 549, 
      550, 551, 553, 554, 554, 556, 557, 558, 559, 559, 560, 561, 562, 563, 563, 566, 567, 568, 568, 
      570, 570, 572, 572, 573, 574, 576, 576, 577, 579, 579, 580, 581, 582, 583, 584, 584, 585, 586, 
      587, 588, 589, 590, 590, 591, 591, 594, 595, 595, 596, 597, 598, 598, 599, 600, 603, 603, 604, 
      605, 606, 607, 608, 608, 609, 610, 610, 611, 612, 612, 615, 616, 616, 618, 618, 619, 621, 622, 
      622, 623, 623, 624, 625, 626, 628, 629, 629, 630, 632, 632, 633, 634, 636, 638, 640, 640, 641, 
      642, 643, 644, 644, 645, 646, 646, 648, 649, 649, 651, 652, 653, 654, 655, 655, 656, 657, 658, 
      658, 660, 661, 662, 664, 665, 667, 668, 669, 670, 671, 671, 672, 673, 676, 676, 676, 676, 676, 
      676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 676, 
      676, 676, 676, 676, 676, 676, 676, 676, 677, 680, 681, 682, 683, 684, 685, 685, 686, 687, 687, 
      688, 690, 691, 692, 692, 693, 696, 697, 698, 699, 699, 700, 701, 702, 702, 703, 704, 707, 708, 
      708, 709, 709, 710, 711, 712, 714, 715, 716, 718, 719, 720, 720, 721, 722, 723, 723, 726, 726, 
      729, 730, 730, 731, 732, 733, 733, 734, 735, 735, 737, 737, 742, 742, 743, 743, 744, 744, 745, 
      746, 748, 748, 750, 750, 751, 752, 753, 754, 756, 757, 757, 758, 759, 761, 762, 763, 764, 765, 
      766, 767, 768, 769, 770, 771, 772, 773, 774, 774, 775, 776, 776, 777, 778, 779, 780, 782, 783, 
      784, 785, 785, 786, 786, 787, 787, 788, 789, 790, 790, 794, 796, 796, 797, 797, 798, 799, 799, 
      801, 802, 802, 803, 803, 805, 807, 808, 809, 809, 810, 811, 812, 812, 817, 817, 818, 819, 820, 
      822, 823, 824, 825, 826, 827, 827, 828, 830, 830, 831, 831, 833, 834, 835, 836, 839, 841, 842, 
      843, 844, 847, 847, 848, 849, 850, 850, 851, 852, 852, 854, 855, 856, 857, 858, 860, 862, 863, 
      864, 864, 866, 867, 868, 868, 869, 869, 870, 870, 871, 871, 872, 873, 874, 876, 876, 878, 881, 
      882, 883, 884, 886, 887, 887, 888, 889, 890, 890, 891, 893, 893, 895, 896, 897, 897, 898, 900, 
      900, 902, 902, 903, 904, 904, 907, 907, 909, 910, 911, 912, 913, 914, 915, 916, 917, 917, 918, 
      919, 920, 920, 921, 922, 923, 924, 926, 927, 927, 928, 929, 929, 931, 932, 933, 933, 934, 935, 
      935, 936, 936, 937, 938, 939, 940, 941, 942, 944, 945, 945, 946, 948, 948, 950, 950, 951, 952, 
      952, 953, 953, 955, 956, 956, 958, 959, 959, 960, 961, 962, 962, 963, 964, 966, 966, 968, 969, 
      970, 971, 972, 973, 974, 975, 975, 976, 977, 977, 978, 979, 979, 982, 983, 984, 984, 985, 986, 
      988, 992, 992, 993, 994, 996, 996, 997, 998, 999, 1000, 1001, 1002, 1002, 1004, 1005, 1006, 1007, 
      1008, 1009, 1009, 1011, 1011, 1012, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1020, 
      1021, 1022, 1022, 1023, 1025, 1025, 1026, 1027, 1027, 1028, 1031, 1033, 1034, 1035, 1037, 1038, 
      1039, 1039, 1040, 1040, 1041, 1042, 1043, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1050, 
      1052, 1053, 1053, 1054, 1055, 1056, 1057, 1058, 1058, 1059, 1061, 1061, 1062, 1062, 1064, 1064, 
      1065, 1065, 1066, 1067, 1068, 1069, 1071, 1072, 1073, 1075, 1075, 1077, 1079, 1079, 1080, 1081, 
      1082, 1082, 1083, 1084, 1086, 1087, 1087, 1089, 1094, 1095, 1095, 1096, 1096, 1098, 1099, 1100, 
      1101, 1103, 1104, 1105, 1105, 1106, 1108, 1109, 1112, 1113, 1113, 1114, 1114, 1116, 1117, 1117, 
      1118, 1120, 1120, 1121, 1121, 1122, 1124, 1125, 1126, 1126, 1128, 1128, 1129, 1131, 1132, 1133, 
      1134, 1135, 1136, 1137, 1138, 1139, 1139, 1140, 1140, 1141, 1142, 1143, 1144, 1144, 1145, 1146, 
      1147, 1149, 1151, 1152, 1152, 1153, 1154, 1155, 1156, 1158, 1159, 1159, 1161, 1162, 1163, 1163, 
      1164, 1165, 1165, 1167, 1169, 1170, 1173, 1174, 1179, 1181, 1182, 1184, 1185, 1186, 1186, 1187, 
      1189, 1189, 1190, 1191, 1196, 1197, 1198, 1200, 1200, 1201, 1201, 1202, 1203, 1203, 1205, 1205, 
      1206, 1207, 1208, 1208, 1209, 1210, 1210, 1211, 1212, 1212, 1215, 1216, 1217, 1218, 1218, 1220, 
      1220, 1221, 1222, 1222, 1224, 1225, 1226, 1227, 1229, 1229, 1230, 1231, 1232, 1234, 1235, 1236, 
      1236, 1237, 1237, 1238, 1238, 1239, 1239, 1240, 1242, 1243, 1244, 1245, 1246, 1248, 1251, 1253, 
      1253, 1254, 1256, 1257, 1258, 1262, 1262, 1264, 1264, 1266, 1267, 1269, 1270, 1270, 1273, 1273, 
      1275, 1275, 1276, 1277, 1278, 1280, 1280, 1283, 1284, 1286, 1287, 1287, 1291, 1292, 1293, 1294, 
      1295, 1295, 1296, 1296, 1297, 1298, 1299, 1299, 1300, 1301, 1302, 1303, 1303, 1304, 1304, 1306, 
      1306, 1308, 1309, 1309, 1310, 1310, 1311, 1312, 1313, 1314, 1314, 1315, 1316, 1317, 1317, 1319, 
      1319, 1320, 1320, 1321, 1321, 1322, 1322, 1323, 1324, 1324, 1325, 1326, 1328, 1329, 1331, 1331, 
      1332, 1333, 1333, 1335, 1335, 1336, 1337, 1339, 1342, 1343, 1344, 1346, 1346, 1347, 1348, 1348, 
      1349, 1350, 1350, 1352, 1353, 1355, 1356, 1356, 1357, 1357, 1358, 1359, 1359, 1360, 1361, 1362, 
      1362, 1363, 1364, 1364, 1365, 1367, 1367, 1368, 1368, 1370, 1371, 1371, 1372, 1372, 1374, 1376, 
      1377, 1379, 1379, 1380, 1380, 1381, 1381, 1382, 1384, 1387, 1388, 1389, 1391, 1394, 1394, 1395, 
      1397, 1398, 1399, 1400, 1400, 1402, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1414, 1415, 1416, 
      1417, 1418, 1419, 1420, 1420, 1421, 1421, 1425, 1425, 1426, 1426, 1428, 1429, 1429, 1430, 1431, 
      1431, 1433, 1435, 1436, 1437, 1437, 1438, 1439, 1440, 1440, 1443, 1447, 1449, 1449, 1451, 1451, 
      1452, 1453, 1453, 1454, 1454, 1456, 1456, 1457, 1457, 1461, 1461, 1462, 1464, 1466, 1466, 1467, 
      1468, 1469, 1472, 1472, 1474, 1475, 1476, 1477, 1479, 1479, 1480, 1481, 1482, 1482, 1483, 1484, 
      1485, 1485, 1487, 1487, 1489, 1491, 1492, 1494, 1496, 1497, 1500, 1501, 1501, 1502, 1503, 1503, 
      1506, 1507, 1508, 1509, 1511, 1511, 1512, 1513, 1514, 1515, 1515, 1516, 1516, 1520, 1521, 1522, 
      1522, 1525, 1526, 1526, 1527, 1528, 1529, 1530, 1531, 1533, 1533, 1534, 1535, 1536, 1536, 1537, 
      1538, 1539, 1540, 1541, 1541, 1542, 1543, 1543, 1544, 1545, 1546, 1546, 1547, 1547, 1548, 1549, 
      1550, 1551, 1551, 1552, 1553, 1554, 1555, 1556, 1556, 1557, 1557, 1558, 1559, 1559, 1560, 1561, 
      1562, 1562, 1563, 1564, 1565, 1567, 1567, 1568, 1569, 1570, 1570, 1571, 1571, 1573, 1575, 1577, 
      1577, 1578, 1578, 1580, 1582, 1584, 1585, 1586, 1586, 1587, 1588, 1588, 1589, 1591, 1591, 1592, 
      1593, 1594, 1595, 1596, 1596, 1597, 1597, 1598, 1598, 1599, 1599, 1601, 1601, 1602, 1602, 1603, 
      1603, 1604, 1606, 1606, 1607, 1609, 1610, 1610, 1611, 1612, 1613, 1614, 1614, 1615, 1616, 1618, 
      1618, 1619, 1619, 1622, 1622, 1623, 1624, 1625, 1627, 1627, 1628, 1630, 1631, 1635, 1636, 1637, 
      1640, 1641, 1642, 1643, 1645, 1646, 1649, 1650, 1650, 1652, 1652, 1653, 1654, 1655, 1657, 1657, 
      1658, 1658, 1659, 1659, 1660, 1661, 1664, 1665, 1665, 1666, 1666, 1667, 1670, 1671, 1672, 1673, 
      1674, 1676, 1676, 1677, 1677, 1678, 1679, 1680, 1681, 1682, 1682, 1683, 1685, 1686, 1686, 1687, 
      1687, 1690, 1692, 1692, 1693, 1694, 1695, 1696, 1697, 1699, 1700, 1701, 1702, 1704, 1705, 1705, 
      1706, 1707, 1708, 1709, 1710, 1711, 1711, 1712, 1713, 1713, 1714, 1715, 1716, 1717, 1718, 1720, 
      1721, 1722, 1723, 1723, 1724, 1724, 1726, 1727, 1727, 1728, 1729, 1730, 1730, 1731, 1732, 1733, 
      1734, 1734, 1736, 1738, 1739, 1740, 1743, 1743, 1744, 1744, 1748, 1750, 1751, 1751, 1752, 1753, 
      1754, 1755, 1755, 1758, 1762, 1762, 1765, 1765, 1768, 1769, 1770, 1771, 1772, 1776, 1778, 1778, 
      1779, 1780, 1780, 1781, 1781, 1783, 1783, 1785, 1786, 1787, 1790, 1790, 1792, 1794, 1795, 1795, 
      1796, 1796, 1797, 1798, 1799, 1801, 1802, 1803, 1803, 1805, 1805, 1807, 1809, 1810, 1811, 1812, 
      1813, 1815, 1818, 1821, 1823, 1823, 1824, 1825, 1825, 1826, 1826, 1827, 1827, 1828, 1830, 1830 ] ]