[ [ 44, 137, 208, 273, 327, 372, 415, 416, 423, 442, 496, 560, 569, 609, 670, 683, 693, 708, 714, 788, 
      806, 830, 844, 949, 974, 977, 981, 1140, 1169, 1186, 1262, 1311, 1324, 1326, 1327, 1390, 1399, 
      1498, 1547, 1600 ], [ 1, 2, 3, 6, 7, 8, 8, 9, 10, 11, 12, 13, 15, 15, 15, 16, 17, 18, 20, 20, 21, 
      22, 22, 23, 24, 25, 26, 26, 28, 30, 32, 32, 33, 34, 35, 36, 38, 39, 42, 43, 44, 44, 44, 45, 45, 
      46, 46, 51, 52, 52, 52, 54, 55, 56, 56, 57, 59, 60, 60, 64, 65, 65, 66, 66, 66, 67, 68, 68, 69, 
      69, 70, 71, 72, 73, 75, 75, 76, 76, 77, 78, 78, 78, 80, 81, 81, 82, 83, 84, 85, 90, 91, 92, 93, 
      94, 94, 96, 97, 99, 99, 99, 100, 101, 103, 105, 109, 109, 110, 110, 111, 111, 113, 114, 116, 119, 
      120, 120, 120, 122, 123, 124, 124, 125, 127, 128, 128, 128, 129, 131, 132, 132, 134, 134, 135, 
      136, 136, 137, 138, 139, 139, 140, 141, 142, 142, 142, 143, 143, 144, 145, 145, 146, 148, 151, 
      152, 153, 155, 156, 158, 159, 161, 162, 163, 165, 169, 170, 171, 172, 172, 173, 174, 175, 177, 
      179, 180, 180, 180, 182, 183, 184, 185, 186, 186, 188, 188, 190, 191, 193, 193, 194, 195, 196, 
      196, 197, 198, 199, 199, 199, 200, 200, 201, 202, 202, 203, 207, 208, 209, 210, 211, 212, 212, 
      212, 213, 214, 215, 216, 217, 219, 220, 220, 221, 223, 223, 223, 225, 227, 229, 231, 237, 237, 
      238, 239, 241, 241, 243, 247, 248, 249, 249, 250, 253, 256, 256, 257, 257, 257, 258, 259, 260, 
      261, 262, 263, 263, 264, 265, 265, 266, 268, 268, 268, 270, 271, 272, 272, 273, 274, 275, 276, 
      277, 279, 279, 280, 283, 283, 283, 284, 285, 286, 289, 290, 293, 293, 295, 295, 296, 296, 297, 
      297, 297, 298, 300, 300, 303, 303, 306, 307, 309, 309, 310, 311, 311, 312, 316, 317, 318, 319, 
      320, 321, 322, 322, 323, 324, 325, 328, 330, 331, 332, 332, 332, 333, 334, 335, 336, 337, 337, 
      338, 341, 341, 343, 343, 343, 344, 345, 346, 346, 346, 347, 347, 349, 350, 350, 350, 351, 354, 
      355, 356, 357, 359, 360, 361, 361, 362, 362, 364, 365, 365, 366, 368, 369, 371, 374, 374, 376, 
      377, 378, 380, 380, 381, 381, 383, 384, 384, 386, 387, 388, 388, 390, 390, 391, 391, 392, 393, 
      393, 395, 395, 397, 398, 398, 398, 399, 399, 400, 403, 404, 405, 405, 406, 406, 407, 408, 410, 
      410, 412, 412, 413, 414, 414, 415, 415, 416, 416, 416, 417, 417, 419, 420, 421, 421, 423, 424, 
      424, 425, 427, 428, 429, 430, 431, 432, 432, 432, 433, 433, 434, 434, 436, 438, 438, 439, 440, 
      441, 441, 443, 445, 446, 446, 449, 449, 452, 452, 453, 453, 454, 457, 457, 458, 459, 459, 459, 
      460, 462, 463, 463, 464, 465, 468, 469, 474, 474, 476, 477, 477, 479, 480, 481, 482, 483, 483, 
      485, 485, 486, 488, 488, 489, 490, 490, 491, 492, 493, 494, 495, 496, 498, 498, 499, 500, 501, 
      501, 503, 504, 505, 505, 506, 506, 507, 508, 509, 509, 509, 510, 510, 511, 512, 513, 514, 515, 
      516, 519, 520, 524, 524, 527, 530, 531, 533, 534, 536, 536, 537, 538, 539, 542, 542, 542, 543, 
      544, 545, 546, 550, 551, 552, 553, 553, 554, 555, 557, 558, 558, 559, 559, 561, 563, 563, 563, 
      564, 564, 565, 565, 565, 566, 567, 568, 571, 571, 572, 573, 574, 575, 576, 578, 578, 578, 580, 
      580, 581, 582, 582, 586, 586, 587, 589, 590, 591, 591, 592, 592, 593, 593, 594, 594, 594, 596, 
      598, 600, 600, 601, 601, 602, 603, 603, 607, 608, 608, 609, 609, 610, 612, 614, 614, 616, 617, 
      619, 619, 620, 620, 622, 624, 625, 625, 626, 627, 628, 630, 630, 632, 633, 633, 634, 635, 635, 
      636, 637, 638, 638, 639, 640, 641, 641, 642, 644, 644, 645, 646, 646, 646, 650, 650, 652, 653, 
      655, 656, 657, 658, 659, 660, 661, 662, 662, 664, 664, 664, 665, 665, 666, 670, 671, 671, 672, 
      673, 673, 674, 674, 675, 677, 677, 678, 680, 681, 683, 684, 685, 687, 690, 691, 692, 693, 694, 
      695, 696, 697, 699, 699, 700, 700, 701, 703, 703, 704, 704, 705, 706, 706, 707, 708, 709, 709, 
      710, 712, 712, 714, 714, 715, 716, 717, 718, 719, 720, 720, 720, 721, 722, 724, 724, 725, 726, 
      728, 728, 729, 729, 730, 732, 732, 734, 734, 734, 736, 736, 737, 737, 738, 739, 742, 743, 743, 
      743, 744, 745, 747, 747, 748, 748, 749, 749, 750, 750, 751, 752, 752, 752, 754, 755, 757, 758, 
      759, 760, 761, 761, 761, 762, 763, 764, 764, 764, 765, 766, 767, 767, 771, 772, 774, 775, 775, 
      775, 776, 776, 778, 778, 781, 781, 782, 782, 784, 784, 784, 787, 789, 789, 790, 792, 793, 793, 
      794, 794, 799, 800, 801, 803, 804, 804, 806, 806, 807, 807, 808, 810, 813, 813, 814, 815, 815, 
      819, 819, 820, 820, 822, 824, 824, 825, 825, 825, 826, 827, 828, 828, 829, 830, 830, 832, 833, 
      834, 835, 836, 837, 838, 838, 838, 842, 843, 843, 845, 846, 846, 846, 847, 848, 848, 848, 850, 
      850, 851, 851, 852, 852, 852, 853, 854, 854, 854, 855, 856, 857, 858, 858, 859, 860, 862, 863, 
      863, 866, 867, 867, 868, 869, 871, 872, 873, 874, 876, 876, 876, 877, 877, 878, 879, 882, 884, 
      885, 886, 887, 888, 888, 889, 889, 890, 891, 891, 893, 894, 895, 895, 896, 896, 897, 898, 900, 
      901, 903, 904, 904, 904, 905, 905, 906, 906, 907, 907, 908, 909, 912, 913, 914, 914, 915, 915, 
      915, 919, 920, 923, 924, 924, 924, 925, 926, 927, 928, 931, 931, 931, 933, 935, 935, 936, 937, 
      938, 938, 940, 940, 942, 944, 947, 948, 948, 949, 949, 951, 954, 955, 956, 956, 957, 957, 959, 
      960, 961, 962, 963, 966, 968, 969, 970, 971, 973, 974, 975, 975, 975, 976, 976, 977, 979, 979, 
      980, 981, 981, 983, 983, 984, 984, 984, 987, 987, 988, 989, 989, 991, 992, 993, 996, 996, 1000, 
      1003, 1004, 1005, 1006, 1007, 1007, 1008, 1008, 1009, 1009, 1011, 1011, 1012, 1013, 1014, 1015, 
      1015, 1015, 1016, 1016, 1016, 1017, 1018, 1019, 1020, 1020, 1021, 1021, 1022, 1022, 1024, 1025, 
      1027, 1028, 1033, 1033, 1034, 1036, 1036, 1036, 1037, 1039, 1039, 1040, 1040, 1041, 1041, 1042, 
      1042, 1042, 1043, 1043, 1043, 1044, 1047, 1050, 1051, 1051, 1052, 1053, 1053, 1054, 1055, 1056, 
      1056, 1058, 1059, 1060, 1062, 1063, 1063, 1065, 1066, 1068, 1069, 1069, 1072, 1072, 1074, 1077, 
      1081, 1082, 1083, 1084, 1087, 1087, 1088, 1088, 1090, 1091, 1092, 1093, 1093, 1096, 1096, 1097, 
      1098, 1099, 1100, 1102, 1104, 1105, 1106, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1113, 
      1113, 1121, 1121, 1123, 1124, 1124, 1125, 1125, 1126, 1126, 1127, 1129, 1130, 1131, 1132, 1134, 
      1134, 1135, 1136, 1136, 1137, 1139, 1140, 1142, 1143, 1144, 1145, 1147, 1147, 1147, 1148, 1149, 
      1152, 1153, 1153, 1153, 1155, 1156, 1157, 1157, 1159, 1160, 1160, 1161, 1162, 1163, 1163, 1164, 
      1165, 1168, 1168, 1169, 1170, 1170, 1171, 1171, 1172, 1172, 1172, 1173, 1174, 1175, 1175, 1176, 
      1178, 1179, 1181, 1182, 1182, 1183, 1184, 1184, 1185, 1186, 1187, 1188, 1191, 1191, 1192, 1192, 
      1193, 1196, 1196, 1197, 1198, 1199, 1200, 1201, 1203, 1205, 1206, 1207, 1208, 1208, 1213, 1214, 
      1214, 1216, 1217, 1220, 1221, 1224, 1225, 1225, 1225, 1227, 1227, 1228, 1228, 1229, 1230, 1230, 
      1230, 1231, 1231, 1231, 1232, 1232, 1234, 1234, 1235, 1235, 1236, 1236, 1237, 1237, 1238, 1239, 
      1240, 1240, 1241, 1242, 1243, 1244, 1245, 1245, 1246, 1247, 1248, 1248, 1249, 1251, 1251, 1252, 
      1252, 1253, 1253, 1256, 1257, 1257, 1258, 1259, 1260, 1260, 1261, 1262, 1263, 1264, 1265, 1265, 
      1265, 1266, 1266, 1267, 1267, 1269, 1270, 1271, 1271, 1273, 1274, 1276, 1276, 1277, 1279, 1280, 
      1280, 1281, 1282, 1284, 1284, 1285, 1286, 1286, 1288, 1291, 1292, 1292, 1292, 1294, 1294, 1294, 
      1295, 1295, 1296, 1298, 1300, 1302, 1305, 1308, 1309, 1309, 1312, 1314, 1315, 1316, 1317, 1317, 
      1318, 1319, 1320, 1320, 1320, 1321, 1321, 1323, 1324, 1325, 1327, 1327, 1328, 1330, 1330, 1330, 
      1331, 1333, 1334, 1335, 1336, 1337, 1338, 1338, 1338, 1339, 1340, 1340, 1342, 1344, 1344, 1345, 
      1345, 1345, 1346, 1346, 1347, 1347, 1348, 1348, 1348, 1349, 1350, 1351, 1351, 1353, 1354, 1354, 
      1355, 1357, 1362, 1363, 1363, 1364, 1364, 1365, 1365, 1366, 1370, 1371, 1371, 1372, 1373, 1373, 
      1377, 1378, 1382, 1383, 1383, 1383, 1384, 1385, 1387, 1387, 1388, 1391, 1392, 1392, 1393, 1393, 
      1394, 1395, 1396, 1397, 1401, 1401, 1401, 1403, 1403, 1404, 1405, 1406, 1410, 1411, 1413, 1413, 
      1414, 1414, 1415, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1423, 1423, 1424, 1425, 1427, 1428, 
      1429, 1430, 1430, 1430, 1431, 1434, 1434, 1435, 1436, 1437, 1438, 1439, 1439, 1440, 1441, 1442, 
      1444, 1447, 1449, 1450, 1451, 1453, 1456, 1456, 1457, 1457, 1458, 1458, 1459, 1461, 1461, 1462, 
      1463, 1466, 1467, 1467, 1468, 1470, 1470, 1471, 1472, 1472, 1475, 1476, 1477, 1478, 1479, 1479, 
      1482, 1483, 1485, 1485, 1486, 1486, 1487, 1487, 1490, 1492, 1494, 1494, 1494, 1495, 1495, 1496, 
      1497, 1498, 1498, 1499, 1500, 1500, 1501, 1502, 1503, 1503, 1505, 1506, 1508, 1510, 1511, 1513, 
      1513, 1515, 1517, 1518, 1518, 1521, 1523, 1523, 1523, 1524, 1524, 1525, 1526, 1527, 1528, 1531, 
      1534, 1534, 1537, 1538, 1538, 1540, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1546, 1549, 1551, 
      1552, 1553, 1554, 1555, 1556, 1557, 1557, 1558, 1558, 1559, 1560, 1560, 1562, 1563, 1564, 1564, 
      1565, 1569, 1570, 1571, 1573, 1576, 1577, 1578, 1579, 1579, 1580, 1580, 1581, 1582, 1584, 1584, 
      1585, 1586, 1587, 1588, 1588, 1591, 1592, 1593, 1595, 1595, 1595, 1596, 1596, 1597, 1597, 1599, 
      1599 ] ]