[ [ 2, 35, 39, 51, 92, 100, 107, 133, 150, 151, 175, 209, 210, 227, 229, 237, 256, 315, 327, 329, 334, 
      395, 443, 446, 458, 467, 472, 476, 478, 490, 505, 551, 553, 568, 579, 650, 672, 731, 736, 804, 
      807, 850, 858, 873, 918, 928, 931, 951, 959, 973, 979, 980, 996, 998, 1000, 1048, 1058, 1095, 
      1138, 1180, 1198, 1200, 1210, 1219, 1222, 1240, 1242, 1279, 1287, 1311, 1329, 1364, 1408, 1479, 
      1523, 1538, 1548, 1549, 1551, 1584 ], 
  [ 1, 3, 4, 4, 5, 5, 6, 7, 8, 10, 11, 11, 12, 14, 14, 15, 15, 16, 16, 17, 18, 19, 20, 20, 21, 21, 22, 
      23, 23, 24, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 32, 33, 33, 35, 37, 38, 39, 40, 41, 41, 
      42, 44, 45, 45, 46, 47, 49, 49, 50, 51, 51, 52, 53, 54, 54, 55, 55, 56, 56, 57, 58, 60, 61, 62, 
      64, 65, 65, 66, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 74, 75, 75, 76, 76, 77, 78, 79, 79, 80, 
      82, 84, 87, 88, 88, 89, 90, 92, 93, 95, 98, 98, 100, 102, 103, 104, 106, 107, 108, 108, 111, 111, 
      112, 114, 115, 119, 119, 120, 121, 122, 122, 123, 124, 125, 126, 126, 128, 130, 131, 132, 133, 
      134, 135, 136, 136, 137, 138, 139, 140, 143, 143, 145, 146, 148, 148, 149, 150, 150, 152, 153, 
      154, 155, 155, 156, 157, 158, 159, 159, 160, 160, 161, 162, 164, 164, 165, 167, 169, 170, 170, 
      171, 171, 172, 174, 174, 175, 176, 176, 179, 179, 180, 181, 185, 185, 186, 187, 189, 189, 190, 
      191, 192, 192, 193, 194, 194, 195, 196, 197, 198, 199, 199, 202, 203, 205, 207, 209, 210, 211, 
      211, 213, 214, 214, 215, 218, 221, 223, 223, 224, 225, 225, 228, 228, 229, 230, 231, 232, 233, 
      234, 235, 235, 236, 237, 238, 238, 239, 239, 240, 241, 241, 242, 243, 243, 244, 244, 245, 245, 
      248, 249, 249, 250, 251, 252, 253, 254, 259, 259, 260, 261, 262, 262, 263, 265, 265, 266, 267, 
      268, 268, 269, 270, 271, 273, 274, 275, 277, 277, 278, 279, 280, 283, 284, 284, 285, 287, 288, 
      290, 291, 292, 292, 294, 294, 295, 296, 297, 298, 298, 299, 300, 300, 301, 301, 302, 307, 309, 
      310, 312, 313, 314, 314, 315, 315, 316, 317, 317, 318, 320, 320, 321, 323, 326, 327, 329, 331, 
      331, 332, 333, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 345, 346, 347, 
      348, 348, 349, 349, 350, 351, 352, 353, 356, 358, 360, 361, 361, 365, 367, 367, 368, 368, 369, 
      370, 370, 371, 373, 373, 374, 375, 375, 376, 377, 378, 380, 381, 382, 383, 384, 385, 389, 390, 
      392, 392, 393, 394, 395, 395, 396, 396, 397, 398, 399, 400, 401, 402, 402, 403, 403, 404, 404, 
      406, 407, 407, 408, 409, 410, 412, 413, 414, 416, 417, 418, 419, 420, 423, 424, 425, 426, 428, 
      431, 432, 434, 435, 436, 438, 439, 439, 440, 440, 441, 441, 442, 443, 445, 445, 446, 448, 449, 
      450, 450, 452, 453, 453, 455, 456, 456, 457, 458, 459, 460, 461, 462, 462, 463, 466, 467, 468, 
      469, 470, 470, 471, 472, 473, 475, 477, 479, 480, 480, 481, 482, 483, 484, 485, 485, 487, 488, 
      489, 489, 490, 490, 491, 492, 495, 496, 497, 499, 500, 501, 501, 502, 503, 504, 505, 506, 506, 
      507, 508, 510, 512, 512, 514, 514, 515, 517, 517, 518, 519, 520, 520, 522, 523, 524, 525, 525, 
      526, 528, 528, 530, 531, 532, 532, 533, 535, 537, 539, 540, 540, 541, 542, 542, 543, 544, 545, 
      545, 546, 546, 548, 549, 551, 552, 553, 554, 554, 556, 559, 559, 560, 560, 561, 562, 562, 564, 
      565, 566, 566, 567, 568, 569, 569, 570, 571, 572, 572, 573, 573, 576, 577, 577, 578, 579, 579, 
      581, 582, 582, 585, 585, 586, 587, 588, 588, 589, 589, 590, 590, 591, 592, 593, 594, 594, 595, 
      596, 597, 597, 598, 599, 599, 600, 601, 602, 603, 603, 604, 605, 608, 610, 611, 611, 612, 614, 
      614, 616, 619, 620, 621, 622, 623, 626, 627, 628, 629, 629, 630, 632, 633, 634, 636, 636, 637, 
      638, 639, 639, 641, 642, 645, 647, 648, 649, 650, 650, 651, 654, 655, 656, 657, 657, 660, 660, 
      661, 663, 663, 664, 664, 665, 665, 667, 668, 669, 670, 672, 676, 676, 679, 681, 681, 683, 685, 
      686, 687, 687, 688, 688, 691, 691, 692, 693, 696, 696, 697, 697, 698, 699, 699, 700, 701, 702, 
      703, 704, 705, 706, 708, 708, 709, 710, 710, 711, 712, 713, 714, 714, 717, 717, 720, 721, 722, 
      722, 724, 724, 725, 726, 726, 728, 729, 730, 731, 731, 734, 736, 738, 738, 743, 744, 745, 746, 
      748, 749, 749, 750, 750, 751, 751, 752, 752, 753, 753, 755, 756, 756, 757, 758, 759, 760, 760, 
      761, 761, 762, 762, 763, 763, 764, 765, 766, 767, 768, 768, 769, 770, 771, 771, 772, 772, 774, 
      776, 776, 777, 777, 781, 782, 783, 783, 784, 787, 788, 788, 789, 790, 791, 791, 792, 794, 795, 
      795, 796, 797, 797, 798, 800, 801, 802, 802, 803, 805, 806, 807, 809, 810, 810, 811, 811, 812, 
      813, 814, 815, 816, 817, 817, 818, 819, 819, 820, 820, 821, 823, 826, 828, 828, 832, 833, 834, 
      835, 836, 838, 838, 839, 841, 842, 842, 843, 844, 844, 846, 847, 849, 851, 851, 853, 854, 856, 
      857, 857, 858, 858, 859, 859, 860, 861, 862, 862, 863, 864, 864, 866, 867, 868, 868, 869, 869, 
      870, 871, 872, 872, 873, 873, 874, 874, 877, 877, 878, 879, 879, 880, 880, 881, 884, 884, 885, 
      885, 886, 887, 889, 890, 891, 892, 892, 894, 895, 895, 896, 897, 898, 899, 899, 900, 901, 902, 
      902, 903, 905, 906, 907, 908, 909, 909, 911, 911, 913, 915, 915, 916, 919, 920, 922, 922, 923, 
      924, 924, 925, 925, 927, 927, 928, 929, 929, 930, 930, 932, 933, 934, 935, 936, 936, 938, 939, 
      940, 941, 943, 945, 945, 946, 946, 948, 950, 950, 951, 952, 954, 954, 955, 957, 957, 960, 961, 
      962, 962, 967, 969, 970, 972, 974, 978, 979, 979, 980, 980, 981, 981, 982, 983, 985, 986, 987, 
      988, 989, 990, 992, 994, 996, 996, 997, 997, 1001, 1001, 1002, 1003, 1004, 1006, 1006, 1007, 
      1007, 1008, 1009, 1009, 1010, 1011, 1015, 1017, 1018, 1020, 1021, 1024, 1025, 1027, 1027, 1028, 
      1029, 1029, 1030, 1031, 1032, 1033, 1033, 1034, 1035, 1037, 1038, 1038, 1039, 1040, 1042, 1042, 
      1043, 1044, 1045, 1045, 1046, 1047, 1048, 1049, 1050, 1050, 1051, 1051, 1052, 1052, 1056, 1057, 
      1058, 1059, 1061, 1062, 1062, 1063, 1064, 1065, 1067, 1067, 1068, 1069, 1069, 1070, 1072, 1073, 
      1073, 1075, 1075, 1076, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1082, 1083, 1084, 1085, 1086, 
      1087, 1088, 1088, 1089, 1089, 1090, 1091, 1092, 1093, 1093, 1095, 1095, 1096, 1097, 1099, 1102, 
      1104, 1104, 1105, 1107, 1107, 1108, 1109, 1110, 1112, 1113, 1113, 1114, 1115, 1115, 1117, 1118, 
      1120, 1121, 1121, 1122, 1123, 1123, 1124, 1127, 1127, 1128, 1129, 1130, 1130, 1131, 1132, 1133, 
      1134, 1135, 1136, 1136, 1137, 1138, 1138, 1139, 1141, 1141, 1142, 1142, 1143, 1144, 1144, 1146, 
      1146, 1147, 1149, 1149, 1150, 1150, 1151, 1154, 1157, 1157, 1158, 1160, 1161, 1162, 1162, 1163, 
      1164, 1165, 1166, 1166, 1167, 1167, 1168, 1170, 1170, 1173, 1174, 1174, 1175, 1175, 1176, 1177, 
      1177, 1178, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1187, 1188, 1189, 1190, 1191, 1192, 
      1192, 1194, 1194, 1195, 1195, 1196, 1197, 1198, 1198, 1199, 1200, 1200, 1201, 1202, 1204, 1205, 
      1206, 1207, 1207, 1208, 1210, 1211, 1211, 1212, 1214, 1214, 1216, 1217, 1219, 1222, 1224, 1225, 
      1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1236, 1237, 1237, 1238, 1238, 
      1239, 1239, 1240, 1242, 1243, 1244, 1246, 1246, 1247, 1248, 1249, 1250, 1250, 1251, 1252, 1253, 
      1253, 1254, 1255, 1255, 1256, 1258, 1258, 1259, 1262, 1263, 1264, 1266, 1267, 1268, 1270, 1271, 
      1273, 1275, 1276, 1276, 1277, 1277, 1278, 1280, 1281, 1282, 1282, 1283, 1283, 1285, 1285, 1286, 
      1287, 1287, 1288, 1288, 1291, 1291, 1292, 1293, 1293, 1294, 1295, 1296, 1297, 1298, 1298, 1299, 
      1299, 1300, 1301, 1302, 1302, 1303, 1305, 1306, 1307, 1309, 1309, 1310, 1310, 1311, 1312, 1313, 
      1314, 1317, 1317, 1318, 1319, 1319, 1320, 1320, 1322, 1323, 1324, 1324, 1326, 1327, 1329, 1331, 
      1331, 1333, 1336, 1336, 1337, 1338, 1339, 1340, 1340, 1341, 1343, 1343, 1344, 1346, 1346, 1349, 
      1350, 1350, 1351, 1351, 1354, 1354, 1355, 1356, 1356, 1358, 1360, 1360, 1362, 1362, 1363, 1365, 
      1365, 1367, 1367, 1368, 1369, 1369, 1371, 1371, 1373, 1374, 1375, 1375, 1379, 1380, 1380, 1381, 
      1382, 1383, 1383, 1384, 1385, 1386, 1386, 1387, 1388, 1389, 1390, 1391, 1393, 1393, 1395, 1396, 
      1396, 1397, 1399, 1401, 1402, 1403, 1403, 1404, 1404, 1405, 1406, 1407, 1407, 1408, 1410, 1411, 
      1412, 1412, 1413, 1413, 1414, 1416, 1417, 1418, 1419, 1419, 1420, 1420, 1421, 1422, 1423, 1424, 
      1425, 1426, 1426, 1427, 1427, 1430, 1431, 1431, 1432, 1433, 1434, 1436, 1436, 1438, 1438, 1439, 
      1439, 1441, 1442, 1442, 1443, 1444, 1446, 1446, 1448, 1449, 1450, 1451, 1453, 1456, 1457, 1459, 
      1460, 1461, 1462, 1462, 1463, 1465, 1467, 1468, 1469, 1470, 1471, 1471, 1472, 1473, 1474, 1474, 
      1475, 1477, 1478, 1479, 1479, 1480, 1480, 1481, 1483, 1483, 1484, 1486, 1487, 1488, 1490, 1491, 
      1491, 1492, 1494, 1495, 1495, 1496, 1497, 1498, 1498, 1499, 1501, 1502, 1504, 1504, 1505, 1505, 
      1506, 1508, 1508, 1510, 1511, 1512, 1512, 1514, 1515, 1515, 1517, 1517, 1518, 1519, 1519, 1521, 
      1522, 1522, 1525, 1525, 1526, 1528, 1528, 1530, 1530, 1531, 1534, 1535, 1536, 1536, 1537, 1538, 
      1539, 1539, 1540, 1540, 1542, 1542, 1543, 1543, 1545, 1545, 1546, 1547, 1550, 1552, 1553, 1554, 
      1555, 1555, 1557, 1558, 1559, 1559, 1560, 1561, 1562, 1564, 1565, 1566, 1567, 1567, 1568, 1568, 
      1570, 1570, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1582, 1584, 1584, 
      1585, 1585, 1586, 1586, 1587, 1588, 1590, 1591, 1593, 1593, 1596, 1597, 1599, 1600, 1600 ] ]