[ [ 1, 12, 14, 18, 22, 27, 29, 40, 42, 45, 48, 50, 52, 60, 68, 74, 75, 95, 99, 104, 109, 110, 119, 120, 
      121, 126, 130, 136, 137, 140, 141, 145, 150, 154, 156, 160, 161, 164, 167, 168, 170, 171, 172, 
      174, 176, 180, 184, 193, 194, 195, 199, 209, 211, 214, 217, 219, 226, 231, 241, 244, 245, 246, 
      247, 254, 255, 256, 257, 258, 259, 260, 265, 269, 274, 276, 278, 279, 281, 295, 301, 303, 310, 
      315, 316, 317, 318, 328, 329, 332, 341, 345, 349, 351, 358, 359, 362, 364, 367, 372, 377, 379, 
      383, 384, 387, 390, 395, 396, 400, 402, 404, 405, 406, 407, 409, 421, 424, 438, 440, 446, 456, 
      458, 460, 461, 462, 463, 468, 471, 482, 483, 486, 489, 498, 499, 500, 515, 528, 532, 533, 540, 
      544, 546, 556, 558, 559, 563, 565, 568, 573, 579, 580, 582, 583, 586, 589, 600, 619, 620, 621, 
      622, 629, 638, 639, 641, 658, 670, 674, 676, 684, 688, 690, 693, 696, 697, 705, 708, 712, 714, 
      716, 717, 722, 724, 731, 732, 737, 739, 740, 749, 751, 753, 757, 758, 760, 762, 763, 768, 774, 
      778, 793, 795, 799, 803, 811, 812, 816, 825, 829, 837, 841, 846, 848, 853, 855, 859, 870, 874, 
      881, 885, 887, 890, 891, 897, 898, 901, 902, 903, 904, 909, 923, 926, 927, 939, 940, 942, 956, 
      957, 964, 980, 981, 982, 989, 990, 1000, 1001, 1006, 1013, 1014, 1016, 1024, 1037, 1038, 1040, 
      1041, 1049, 1051, 1056, 1059, 1066, 1079, 1081, 1083, 1085, 1087, 1089, 1091, 1093, 1094, 1096, 
      1100, 1102, 1108, 1109, 1110, 1112, 1116, 1118, 1131, 1133, 1135, 1136, 1152, 1154, 1159, 1160, 
      1161, 1167, 1168, 1171, 1175, 1191, 1192, 1194, 1196, 1205, 1206, 1220, 1226, 1227, 1236, 1237, 
      1238, 1241, 1242, 1244, 1246, 1247, 1248, 1249, 1255, 1266, 1267, 1268, 1270, 1273, 1278, 1280, 
      1283, 1284, 1291, 1293, 1294, 1310, 1311, 1315, 1318, 1329, 1343, 1346, 1347, 1349, 1350, 1352, 
      1354, 1355, 1358, 1362, 1364, 1365, 1366, 1375, 1381, 1382, 1387, 1389, 1392, 1406, 1410, 1411, 
      1414, 1416, 1417, 1418, 1419, 1421, 1423, 1425, 1429, 1430, 1434, 1437, 1439, 1446, 1448, 1459, 
      1474, 1480, 1484, 1486, 1492, 1507, 1508, 1510, 1511, 1515, 1521, 1522, 1526, 1527, 1532, 1534, 
      1536, 1544, 1550, 1560, 1561, 1562, 1563, 1565, 1566, 1570, 1571, 1574, 1582, 1583, 1586, 1587, 
      1590, 1591, 1597, 1599, 1600, 1603, 1607, 1611, 1613, 1616, 1618, 1621, 1622, 1631, 1633, 1637, 
      1639, 1641, 1644, 1647, 1648, 1649, 1655, 1661, 1662, 1666, 1668, 1673, 1675, 1678, 1694, 1703, 
      1706, 1712, 1716, 1730, 1731, 1734, 1739, 1743, 1744, 1750, 1753, 1764, 1768, 1781, 1782, 1786, 
      1793, 1797, 1800, 1801, 1812, 1813, 1820, 1825, 1826, 1827, 1834, 1835, 1836, 1838, 1839, 1849, 
      1850, 1853, 1858, 1860, 1865, 1876, 1877, 1889, 1890, 1892, 1894, 1904, 1907, 1909, 1910, 1913, 
      1920, 1924, 1929, 1931, 1933, 1934, 1935, 1937, 1938, 1939, 1948, 1954, 1956, 1968, 1969, 1970, 
      1972, 1979, 1985, 1986, 1990, 1993, 1996, 2001, 2021, 2023, 2024, 2031, 2032, 2034, 2036, 2037, 
      2038, 2041, 2045, 2046, 2049, 2051, 2053, 2055, 2065, 2066, 2069, 2073, 2078, 2079 ], 
  [ 2, 2, 2, 2, 2, 4, 4, 9, 9, 10, 10, 10, 10, 10, 11, 14, 18, 19, 19, 19, 19, 21, 21, 21, 21, 22, 22, 
      22, 25, 29, 30, 30, 31, 31, 32, 32, 35, 35, 35, 35, 36, 36, 36, 36, 38, 41, 45, 46, 49, 52, 52, 
      52, 52, 52, 53, 56, 56, 56, 56, 57, 58, 58, 58, 60, 62, 63, 63, 63, 63, 63, 65, 69, 69, 72, 72, 
      72, 73, 73, 73, 74, 74, 75, 75, 75, 75, 77, 77, 77, 77, 78, 78, 78, 80, 84, 88, 88, 88, 88, 96, 
      96, 96, 96, 97, 97, 97, 97, 99, 99, 99, 99, 105, 107, 114, 114, 114, 114, 122, 124, 128, 128, 
      129, 129, 129, 129, 131, 131, 135, 135, 135, 138, 140, 140, 143, 144, 148, 149, 149, 149, 149, 
      152, 154, 154, 154, 157, 159, 159, 159, 159, 162, 162, 162, 162, 163, 163, 163, 165, 167, 167, 
      168, 168, 168, 169, 169, 169, 171, 177, 178, 178, 178, 181, 182, 182, 182, 182, 183, 183, 183, 
      185, 185, 185, 185, 188, 188, 188, 188, 189, 190, 191, 191, 195, 195, 195, 198, 198, 198, 198, 
      200, 201, 204, 205, 205, 209, 211, 211, 211, 211, 213, 216, 216, 216, 216, 216, 219, 219, 219, 
      219, 220, 221, 221, 221, 221, 221, 222, 222, 222, 222, 229, 231, 232, 235, 235, 236, 236, 237, 
      237, 242, 242, 245, 246, 247, 249, 249, 249, 249, 251, 251, 251, 254, 254, 254, 255, 255, 255, 
      255, 264, 264, 264, 264, 268, 271, 273, 273, 273, 273, 275, 275, 275, 276, 276, 277, 277, 277, 
      277, 278, 280, 286, 286, 286, 286, 288, 288, 288, 289, 290, 290, 290, 295, 296, 296, 296, 296, 
      297, 298, 301, 301, 302, 302, 302, 302, 302, 305, 308, 308, 308, 308, 309, 309, 309, 309, 312, 
      312, 312, 312, 318, 318, 318, 319, 319, 319, 321, 323, 323, 323, 324, 324, 324, 324, 324, 324, 
      324, 324, 324, 325, 325, 326, 326, 327, 333, 333, 333, 345, 346, 348, 348, 348, 348, 350, 350, 
      350, 350, 351, 352, 352, 352, 353, 353, 353, 353, 353, 353, 353, 353, 353, 354, 354, 354, 354, 
      357, 357, 358, 358, 358, 358, 361, 361, 361, 363, 363, 363, 363, 364, 371, 372, 373, 373, 373, 
      373, 374, 374, 376, 376, 376, 376, 380, 380, 380, 382, 386, 386, 386, 386, 387, 387, 394, 394, 
      394, 394, 398, 398, 400, 400, 400, 400, 402, 402, 402, 402, 403, 406, 406, 406, 406, 409, 409, 
      410, 412, 412, 413, 414, 414, 414, 414, 416, 422, 422, 422, 423, 431, 431, 431, 431, 431, 431, 
      431, 431, 431, 432, 432, 432, 432, 436, 437, 437, 437, 437, 438, 438, 439, 442, 442, 442, 443, 
      443, 449, 449, 449, 449, 451, 453, 453, 455, 455, 456, 460, 460, 460, 465, 465, 465, 469, 472, 
      476, 480, 482, 483, 483, 483, 483, 483, 486, 487, 487, 487, 487, 488, 488, 488, 488, 494, 494, 
      494, 494, 496, 496, 498, 498, 503, 506, 506, 514, 514, 514, 514, 517, 520, 521, 521, 523, 523, 
      525, 525, 525, 525, 526, 527, 527, 529, 529, 530, 530, 530, 530, 535, 535, 538, 538, 538, 538, 
      538, 538, 538, 538, 538, 539, 539, 542, 544, 545, 549, 551, 551, 551, 551, 554, 555, 556, 557, 
      557, 557, 557, 559, 559, 564, 565, 566, 569, 572, 572, 572, 574, 576, 576, 576, 578, 578, 578, 
      579, 579, 579, 579, 581, 581, 581, 587, 587, 587, 587, 589, 590, 590, 593, 593, 595, 597, 597, 
      600, 602, 602, 602, 602, 603, 605, 605, 605, 605, 606, 606, 606, 606, 607, 607, 607, 607, 607, 
      607, 607, 607, 607, 609, 609, 609, 609, 609, 610, 610, 610, 610, 612, 612, 612, 613, 615, 617, 
      617, 617, 617, 618, 618, 618, 625, 626, 626, 626, 626, 628, 628, 628, 628, 630, 630, 630, 630, 
      631, 635, 635, 635, 635, 641, 641, 641, 641, 642, 642, 645, 645, 645, 645, 645, 646, 652, 652, 
      654, 656, 656, 656, 662, 662, 662, 663, 663, 663, 663, 664, 667, 667, 667, 667, 668, 668, 668, 
      668, 669, 670, 670, 670, 670, 672, 672, 672, 673, 673, 673, 673, 673, 683, 684, 684, 686, 686, 
      686, 686, 689, 689, 689, 689, 690, 691, 691, 691, 691, 692, 692, 694, 695, 696, 704, 704, 712, 
      712, 712, 712, 712, 712, 712, 712, 712, 713, 713, 714, 714, 716, 716, 721, 723, 727, 728, 734, 
      734, 734, 734, 737, 737, 737, 741, 742, 747, 747, 747, 747, 749, 749, 749, 749, 751, 752, 752, 
      756, 756, 757, 759, 760, 760, 760, 760, 761, 761, 761, 761, 761, 765, 765, 768, 768, 768, 769, 
      769, 769, 769, 772, 772, 772, 772, 772, 774, 774, 774, 774, 777, 777, 777, 781, 784, 784, 786, 
      786, 786, 788, 788, 788, 788, 789, 789, 789, 793, 793, 796, 798, 798, 798, 798, 798, 799, 799, 
      799, 799, 803, 803, 803, 803, 805, 805, 805, 805, 806, 806, 806, 806, 806, 806, 806, 806, 806, 
      809, 809, 809, 809, 812, 812, 812, 814, 814, 815, 815, 817, 818, 821, 823, 823, 823, 823, 825, 
      828, 828, 828, 828, 831, 832, 832, 832, 832, 833, 833, 835, 837, 838, 838, 846, 846, 846, 846, 
      849, 849, 849, 849, 852, 852, 852, 852, 852, 856, 867, 867, 867, 867, 869, 870, 872, 872, 872, 
      872, 874, 874, 874, 875, 880, 887, 887, 887, 888, 889, 889, 889, 892, 892, 892, 896, 901, 901, 
      901, 901, 902, 902, 904, 904, 904, 904, 907, 907, 907, 907, 909, 910, 910, 914, 914, 914, 914, 
      915, 915, 915, 916, 918, 918, 921, 921, 921, 927, 927, 927, 927, 939, 939, 939, 939, 940, 940, 
      940, 940, 942, 942, 942, 942, 944, 944, 944, 944, 944, 944, 944, 944, 944, 949, 951, 954, 955, 
      955, 955, 955, 957, 960, 962, 962, 962, 962, 963, 963, 963, 963, 963, 969, 969, 972, 973, 973, 
      973, 973, 977, 978, 978, 979, 984, 984, 984, 987, 987, 987, 987, 990, 991, 991, 991, 996, 996, 
      996, 999, 1005, 1006, 1006, 1006, 1006, 1006, 1006, 1006, 1006, 1006, 1007, 1007, 1009, 1011, 
      1012, 1015, 1015, 1015, 1016, 1019, 1019, 1022, 1022, 1022, 1022, 1023, 1023, 1024, 1027, 1027, 
      1027, 1027, 1029, 1029, 1029, 1029, 1029, 1032, 1032, 1032, 1035, 1035, 1035, 1035, 1035, 1035, 
      1035, 1035, 1035, 1036, 1043, 1044, 1050, 1055, 1055, 1055, 1055, 1055, 1055, 1055, 1055, 1055, 
      1059, 1059, 1059, 1059, 1060, 1060, 1060, 1060, 1064, 1064, 1065, 1066, 1066, 1066, 1066, 1067, 
      1073, 1074, 1074, 1074, 1074, 1074, 1079, 1079, 1079, 1079, 1081, 1081, 1081, 1083, 1083, 1083, 
      1088, 1088, 1088, 1088, 1088, 1089, 1089, 1089, 1089, 1089, 1090, 1090, 1093, 1094, 1094, 1094, 
      1106, 1110, 1110, 1110, 1110, 1111, 1111, 1111, 1111, 1114, 1115, 1115, 1115, 1122, 1123, 1128, 
      1129, 1129, 1132, 1132, 1132, 1133, 1133, 1133, 1136, 1136, 1138, 1138, 1138, 1138, 1140, 1143, 
      1143, 1143, 1143, 1146, 1151, 1155, 1155, 1155, 1155, 1156, 1156, 1157, 1157, 1157, 1157, 1159, 
      1159, 1159, 1159, 1160, 1162, 1162, 1162, 1162, 1163, 1163, 1163, 1163, 1163, 1164, 1167, 1167, 
      1167, 1170, 1172, 1172, 1172, 1172, 1173, 1177, 1178, 1178, 1180, 1183, 1183, 1183, 1183, 1184, 
      1184, 1185, 1185, 1185, 1185, 1187, 1189, 1189, 1189, 1189, 1191, 1192, 1193, 1193, 1193, 1193, 
      1196, 1197, 1197, 1197, 1197, 1198, 1199, 1201, 1201, 1201, 1201, 1201, 1205, 1208, 1208, 1208, 
      1208, 1211, 1211, 1211, 1211, 1212, 1212, 1212, 1212, 1217, 1217, 1217, 1219, 1219, 1219, 1219, 
      1220, 1220, 1220, 1220, 1221, 1226, 1226, 1230, 1231, 1231, 1231, 1231, 1233, 1240, 1242, 1242, 
      1242, 1243, 1244, 1245, 1245, 1245, 1245, 1247, 1247, 1247, 1249, 1255, 1257, 1257, 1265, 1268, 
      1268, 1268, 1269, 1269, 1269, 1269, 1270, 1273, 1273, 1273, 1274, 1274, 1274, 1274, 1277, 1283, 
      1283, 1283, 1285, 1285, 1285, 1286, 1288, 1289, 1293, 1294, 1294, 1294, 1296, 1296, 1296, 1296, 
      1299, 1299, 1299, 1299, 1299, 1301, 1305, 1305, 1306, 1309, 1309, 1309, 1309, 1310, 1310, 1310, 
      1310, 1311, 1311, 1311, 1311, 1315, 1315, 1315, 1315, 1318, 1318, 1318, 1318, 1321, 1321, 1323, 
      1323, 1324, 1324, 1324, 1326, 1328, 1328, 1330, 1330, 1332, 1333, 1336, 1336, 1336, 1336, 1342, 
      1344, 1344, 1344, 1344, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 1346, 
      1346, 1346, 1347, 1347, 1347, 1347, 1349, 1349, 1356, 1356, 1356, 1359, 1360, 1360, 1360, 1360, 
      1366, 1370, 1378, 1383, 1383, 1384, 1384, 1384, 1384, 1386, 1386, 1387, 1391, 1391, 1391, 1391, 
      1391, 1393, 1393, 1393, 1393, 1393, 1395, 1395, 1395, 1395, 1395, 1395, 1395, 1395, 1395, 1396, 
      1396, 1396, 1397, 1400, 1400, 1400, 1400, 1404, 1404, 1404, 1410, 1412, 1412, 1412, 1412, 1412, 
      1413, 1413, 1413, 1415, 1416, 1416, 1416, 1420, 1421, 1427, 1431, 1432, 1432, 1435, 1435, 1437, 
      1439, 1439, 1443, 1446, 1446, 1446, 1446, 1450, 1450, 1450, 1450, 1453, 1453, 1453, 1453, 1454, 
      1454, 1454, 1454, 1455, 1456, 1457, 1461, 1461, 1461, 1461, 1464, 1465, 1465, 1468, 1469, 1469, 
      1469, 1469, 1469, 1469, 1469, 1469, 1469, 1472, 1476, 1476, 1479, 1479, 1479, 1479, 1480, 1482, 
      1483, 1483, 1483, 1484, 1484, 1487, 1487, 1487, 1487, 1491, 1491, 1491, 1491, 1493, 1495, 1495, 
      1497, 1498, 1498, 1498, 1498, 1502, 1502, 1502, 1502, 1503, 1504, 1504, 1504, 1511, 1511, 1511, 
      1511, 1512, 1512, 1512, 1512, 1516, 1516, 1516, 1516, 1518, 1519, 1519, 1519, 1519, 1521, 1522, 
      1523, 1527, 1527, 1527, 1527, 1531, 1533, 1535, 1536, 1536, 1539, 1539, 1539, 1539, 1545, 1553, 
      1553, 1562, 1564, 1564, 1566, 1566, 1566, 1566, 1567, 1567, 1567, 1567, 1568, 1574, 1575, 1575, 
      1575, 1575, 1578, 1578, 1578, 1578, 1579, 1579, 1585, 1585, 1585, 1586, 1586, 1588, 1588, 1588, 
      1594, 1596, 1597, 1598, 1598, 1600, 1600, 1600, 1600, 1604, 1604, 1604, 1604, 1605, 1605, 1607, 
      1611, 1614, 1614, 1614, 1614, 1614, 1614, 1614, 1614, 1614, 1617, 1617, 1617, 1617, 1620, 1620, 
      1620, 1620, 1621, 1621, 1621, 1621, 1622, 1627, 1627, 1627, 1627, 1631, 1631, 1635, 1635, 1635, 
      1637, 1637, 1637, 1638, 1639, 1639, 1640, 1640, 1642, 1642, 1642, 1642, 1644, 1644, 1644, 1644, 
      1648, 1652, 1653, 1653, 1653, 1655, 1655, 1655, 1655, 1656, 1657, 1657, 1657, 1657, 1657, 1658, 
      1658, 1658, 1658, 1661, 1668, 1668, 1668, 1668, 1672, 1678, 1678, 1678, 1678, 1683, 1683, 1683, 
      1683, 1683, 1683, 1683, 1683, 1683, 1687, 1696, 1696, 1696, 1696, 1697, 1697, 1697, 1697, 1698, 
      1698, 1699, 1699, 1699, 1699, 1709, 1709, 1709, 1711, 1715, 1717, 1717, 1717, 1717, 1720, 1722, 
      1722, 1722, 1722, 1723, 1723, 1723, 1723, 1724, 1726, 1730, 1730, 1730, 1738, 1739, 1740, 1741, 
      1741, 1741, 1741, 1742, 1742, 1742, 1742, 1745, 1745, 1745, 1745, 1745, 1748, 1750, 1750, 1750, 
      1751, 1754, 1757, 1757, 1757, 1757, 1764, 1764, 1764, 1764, 1767, 1767, 1767, 1771, 1771, 1775, 
      1775, 1775, 1775, 1780, 1781, 1781, 1781, 1781, 1788, 1788, 1788, 1790, 1790, 1790, 1790, 1791, 
      1791, 1791, 1791, 1796, 1797, 1797, 1797, 1797, 1797, 1798, 1798, 1798, 1798, 1799, 1800, 1800, 
      1801, 1801, 1801, 1802, 1802, 1802, 1802, 1804, 1804, 1804, 1804, 1810, 1810, 1810, 1810, 1812, 
      1812, 1812, 1812, 1812, 1816, 1816, 1816, 1816, 1819, 1819, 1819, 1819, 1820, 1821, 1823, 1826, 
      1827, 1827, 1827, 1829, 1829, 1829, 1829, 1833, 1834, 1834, 1834, 1834, 1840, 1840, 1840, 1842, 
      1842, 1842, 1842, 1842, 1842, 1842, 1842, 1842, 1845, 1847, 1847, 1847, 1847, 1847, 1848, 1849, 
      1849, 1849, 1849, 1851, 1851, 1851, 1851, 1852, 1853, 1854, 1857, 1858, 1862, 1863, 1865, 1866, 
      1866, 1866, 1866, 1869, 1874, 1876, 1876, 1876, 1876, 1877, 1877, 1877, 1877, 1879, 1881, 1882, 
      1889, 1895, 1895, 1895, 1895, 1896, 1899, 1899, 1899, 1899, 1899, 1907, 1909, 1909, 1913, 1913, 
      1913, 1913, 1914, 1914, 1914, 1917, 1919, 1920, 1926, 1926, 1927, 1927, 1927, 1927, 1927, 1927, 
      1927, 1927, 1927, 1929, 1932, 1932, 1932, 1932, 1932, 1934, 1935, 1938, 1938, 1938, 1939, 1939, 
      1940, 1940, 1940, 1945, 1945, 1945, 1946, 1947, 1947, 1947, 1949, 1949, 1949, 1949, 1950, 1950, 
      1956, 1956, 1960, 1960, 1960, 1960, 1966, 1966, 1966, 1966, 1972, 1972, 1972, 1974, 1981, 1981, 
      1981, 1984, 1984, 1984, 1984, 1984, 1986, 1987, 1987, 1987, 1987, 1988, 1988, 1988, 1988, 1996, 
      1997, 1997, 1997, 1997, 1998, 1998, 2000, 2000, 2003, 2003, 2005, 2006, 2006, 2006, 2008, 2008, 
      2008, 2012, 2017, 2018, 2019, 2019, 2024, 2032, 2032, 2032, 2032, 2033, 2033, 2033, 2033, 2036, 
      2036, 2036, 2037, 2041, 2041, 2041, 2045, 2045, 2045, 2048, 2049, 2049, 2050, 2053, 2054, 2054, 
      2054, 2054, 2056, 2056, 2056, 2056, 2066, 2066, 2067, 2067, 2067, 2067, 2073, 2073, 2073, 2073, 
      2074, 2074, 2074, 2075, 2075, 2079, 2079, 2079, 2079, 2080, 2080 ] ]