[ [ 44, 46, 173, 366, 431, 446, 523, 533, 547, 552, 569, 602, 677, 746, 755, 881, 932, 939, 1007, 1156, 
      1177, 1250, 1268 ], [ 5, 5, 5, 5, 5, 5, 6, 8, 9, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 15, 16, 
      16, 17, 18, 18, 18, 19, 20, 22, 22, 24, 25, 25, 25, 27, 27, 30, 31, 31, 32, 32, 34, 34, 34, 34, 
      34, 34, 35, 35, 36, 37, 37, 37, 37, 37, 37, 40, 41, 43, 43, 43, 44, 45, 46, 46, 46, 46, 46, 46, 
      47, 48, 49, 53, 54, 55, 57, 57, 57, 57, 57, 58, 59, 60, 60, 60, 61, 61, 64, 65, 68, 69, 69, 70, 
      71, 72, 74, 75, 75, 75, 75, 75, 75, 76, 80, 80, 82, 84, 84, 84, 85, 85, 85, 87, 87, 91, 93, 93, 
      93, 93, 93, 94, 94, 95, 95, 95, 95, 95, 96, 97, 97, 98, 100, 101, 101, 101, 102, 106, 109, 110, 
      111, 111, 111, 112, 114, 117, 117, 122, 122, 123, 124, 124, 126, 128, 130, 130, 130, 131, 132, 
      132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 138, 139, 139, 139, 
      141, 142, 142, 142, 143, 144, 144, 145, 145, 146, 147, 147, 147, 147, 147, 147, 148, 148, 148, 
      149, 149, 150, 151, 153, 154, 154, 155, 155, 155, 158, 158, 158, 159, 159, 159, 159, 159, 159, 
      160, 161, 161, 161, 162, 163, 164, 167, 168, 169, 175, 177, 177, 178, 182, 183, 184, 185, 185, 
      186, 186, 187, 189, 189, 190, 191, 191, 192, 194, 195, 195, 195, 196, 197, 197, 197, 198, 198, 
      198, 199, 199, 200, 200, 200, 201, 202, 202, 202, 204, 206, 206, 206, 207, 209, 209, 209, 212, 
      212, 212, 213, 213, 213, 215, 216, 216, 216, 216, 216, 216, 217, 217, 218, 221, 222, 222, 222, 
      222, 222, 222, 223, 224, 225, 227, 228, 229, 230, 231, 234, 236, 236, 237, 238, 238, 242, 243, 
      245, 245, 246, 248, 249, 252, 253, 253, 257, 259, 260, 261, 263, 263, 265, 268, 268, 269, 275, 
      275, 275, 277, 278, 280, 280, 282, 284, 285, 288, 289, 292, 293, 294, 295, 295, 296, 297, 298, 
      299, 302, 302, 302, 304, 306, 306, 307, 307, 307, 311, 313, 314, 315, 316, 317, 318, 319, 319, 
      319, 320, 320, 320, 320, 320, 320, 322, 325, 326, 327, 330, 332, 333, 335, 336, 336, 337, 339, 
      339, 340, 344, 344, 344, 345, 347, 349, 350, 354, 354, 355, 356, 356, 358, 359, 359, 359, 359, 
      359, 359, 362, 363, 364, 365, 366, 366, 366, 366, 366, 366, 367, 368, 368, 370, 370, 379, 381, 
      381, 381, 381, 381, 381, 382, 384, 386, 386, 386, 388, 389, 390, 390, 390, 391, 397, 398, 401, 
      401, 401, 402, 402, 402, 403, 404, 405, 405, 405, 406, 406, 408, 410, 411, 413, 413, 414, 415, 
      416, 417, 417, 422, 422, 422, 423, 423, 423, 425, 425, 427, 428, 430, 430, 432, 432, 432, 433, 
      440, 440, 440, 441, 443, 443, 443, 444, 447, 447, 447, 448, 449, 450, 451, 451, 452, 453, 454, 
      456, 457, 458, 462, 462, 462, 462, 462, 462, 463, 463, 463, 464, 464, 464, 464, 464, 465, 467, 
      467, 468, 469, 471, 473, 474, 475, 476, 476, 477, 478, 478, 478, 478, 478, 478, 479, 480, 482, 
      482, 485, 486, 487, 490, 493, 493, 494, 496, 497, 497, 497, 498, 499, 502, 504, 505, 507, 508, 
      510, 510, 511, 512, 512, 514, 516, 518, 518, 518, 520, 523, 525, 526, 528, 528, 530, 530, 530, 
      530, 530, 532, 532, 533, 535, 537, 543, 544, 545, 547, 548, 551, 553, 553, 553, 556, 557, 558, 
      560, 560, 560, 560, 560, 560, 561, 563, 563, 563, 564, 565, 566, 566, 566, 566, 566, 566, 567, 
      569, 569, 570, 570, 570, 570, 570, 575, 575, 575, 580, 580, 582, 582, 582, 582, 582, 584, 584, 
      584, 586, 595, 596, 597, 598, 601, 601, 603, 605, 606, 609, 609, 609, 612, 614, 616, 617, 618, 
      618, 618, 619, 621, 621, 621, 623, 626, 627, 627, 628, 629, 630, 631, 633, 633, 633, 634, 635, 
      635, 635, 635, 635, 635, 638, 638, 638, 639, 639, 639, 640, 640, 640, 641, 645, 645, 645, 646, 
      646, 646, 648, 648, 648, 649, 652, 652, 652, 654, 655, 656, 658, 664, 665, 666, 667, 668, 671, 
      673, 674, 675, 677, 678, 679, 682, 683, 685, 685, 685, 687, 687, 688, 689, 693, 694, 696, 698, 
      699, 701, 703, 706, 706, 706, 707, 708, 710, 710, 715, 716, 718, 723, 725, 726, 726, 727, 729, 
      730, 731, 736, 737, 739, 740, 743, 745, 748, 749, 751, 751, 751, 752, 754, 754, 755, 757, 759, 
      763, 763, 766, 766, 769, 770, 771, 771, 771, 771, 771, 772, 775, 775, 775, 777, 777, 780, 780, 
      780, 780, 780, 781, 781, 781, 781, 781, 781, 782, 782, 782, 782, 782, 782, 783, 783, 783, 783, 
      783, 783, 785, 785, 787, 787, 787, 789, 790, 790, 791, 791, 791, 794, 795, 798, 799, 800, 801, 
      801, 802, 806, 806, 806, 807, 807, 807, 808, 809, 809, 809, 809, 809, 809, 815, 816, 817, 819, 
      821, 823, 824, 824, 825, 825, 825, 826, 827, 829, 829, 834, 835, 836, 837, 837, 837, 837, 837, 
      837, 838, 838, 841, 843, 846, 847, 847, 847, 847, 847, 848, 849, 849, 851, 853, 854, 855, 856, 
      860, 860, 864, 864, 864, 864, 864, 866, 867, 868, 871, 871, 874, 874, 875, 876, 876, 876, 876, 
      876, 876, 877, 879, 882, 883, 884, 885, 887, 892, 893, 893, 893, 895, 895, 895, 896, 897, 897, 
      897, 897, 897, 897, 898, 900, 906, 910, 912, 913, 915, 915, 916, 919, 920, 920, 920, 920, 920, 
      921, 922, 922, 922, 922, 922, 923, 923, 923, 923, 923, 924, 928, 929, 929, 929, 929, 929, 929, 
      930, 931, 931, 931, 935, 936, 937, 938, 940, 941, 943, 944, 944, 944, 945, 945, 945, 945, 945, 
      945, 948, 949, 959, 961, 964, 964, 964, 964, 964, 965, 965, 965, 965, 965, 965, 966, 966, 970, 
      970, 971, 971, 974, 974, 974, 976, 976, 976, 979, 981, 983, 984, 988, 991, 993, 994, 995, 997, 
      999, 1000, 1000, 1000, 1000, 1000, 1000, 1001, 1001, 1001, 1003, 1004, 1011, 1012, 1012, 1012, 
      1016, 1017, 1017, 1017, 1019, 1019, 1021, 1023, 1023, 1023, 1024, 1024, 1026, 1027, 1028, 1029, 
      1030, 1030, 1030, 1030, 1030, 1031, 1031, 1032, 1032, 1032, 1033, 1033, 1038, 1039, 1040, 1043, 
      1047, 1048, 1049, 1051, 1052, 1052, 1052, 1052, 1052, 1052, 1054, 1055, 1057, 1059, 1059, 1060, 
      1061, 1061, 1061, 1063, 1064, 1065, 1067, 1068, 1068, 1069, 1069, 1071, 1071, 1072, 1073, 1075, 
      1080, 1080, 1080, 1081, 1083, 1086, 1086, 1086, 1087, 1089, 1091, 1092, 1093, 1093, 1093, 1093, 
      1093, 1094, 1097, 1098, 1098, 1100, 1105, 1106, 1107, 1109, 1109, 1109, 1109, 1109, 1109, 1111, 
      1112, 1113, 1114, 1114, 1114, 1115, 1115, 1116, 1117, 1117, 1117, 1118, 1122, 1122, 1127, 1127, 
      1128, 1129, 1130, 1131, 1131, 1131, 1132, 1134, 1135, 1136, 1137, 1138, 1143, 1144, 1148, 1151, 
      1151, 1151, 1154, 1155, 1155, 1155, 1155, 1155, 1155, 1156, 1157, 1158, 1159, 1162, 1163, 1164, 
      1166, 1167, 1167, 1168, 1169, 1172, 1173, 1173, 1173, 1176, 1177, 1178, 1179, 1181, 1181, 1182, 
      1183, 1184, 1185, 1186, 1187, 1187, 1189, 1189, 1190, 1191, 1192, 1194, 1195, 1200, 1200, 1201, 
      1204, 1204, 1206, 1206, 1206, 1208, 1210, 1210, 1211, 1212, 1213, 1214, 1214, 1214, 1214, 1214, 
      1214, 1215, 1216, 1217, 1217, 1217, 1218, 1219, 1220, 1222, 1222, 1222, 1229, 1229, 1231, 1231, 
      1232, 1232, 1232, 1232, 1232, 1235, 1235, 1236, 1237, 1240, 1243, 1244, 1245, 1249, 1249, 1252, 
      1252, 1257, 1259, 1262, 1263, 1264, 1265, 1268, 1269, 1270, 1270, 1270, 1270, 1270, 1270, 1273, 
      1274, 1274, 1274, 1276, 1276, 1277, 1280, 1280, 1280, 1281, 1281, 1282, 1283, 1283, 1286, 1286, 
      1288, 1288, 1288 ] ]