[ [ 1, 13, 15, 16, 19, 21, 25, 26, 30, 33, 34, 43, 50, 55, 58, 61, 63, 64, 66, 71, 82, 83, 87, 88, 90, 
      92, 95, 101, 102, 106, 107, 111, 115, 120, 121, 124, 127, 130, 136, 138, 140, 141, 144, 149, 150, 
      151, 156, 157, 158, 160, 170, 173, 175, 180, 181, 186, 191, 195, 196, 198, 200, 201, 204, 205, 
      208, 210, 219, 220, 223, 229, 232, 233, 235, 242, 243, 244, 247, 249, 257, 260, 263, 264, 266, 
      271, 274, 276, 279, 284, 294, 296, 301, 311, 312, 319, 321, 324, 326, 327, 328, 337, 339, 340, 
      341, 343, 351, 353, 354, 356, 360, 361, 362, 364, 368, 369, 371, 372, 376, 379, 383, 384, 386, 
      389, 391, 396, 397, 399, 401, 405, 406, 413, 415, 417, 418, 420, 423, 426, 428, 431, 433, 434, 
      438, 439, 441, 442, 445, 446, 448, 449, 451, 454, 455, 456, 464, 465, 466, 468, 470, 473, 474, 
      475, 479, 480, 483, 484, 489, 490, 498, 501, 502, 510, 513, 521, 524, 525, 530, 532, 538, 539, 
      541, 542, 544, 546, 547, 552, 556, 560, 561, 567, 568, 572, 574, 575, 577, 581, 582, 587, 591, 
      592, 593, 594, 595, 598, 599, 601, 603, 605, 608, 610, 615, 622, 624, 625, 629, 632, 636, 640, 
      641, 645, 647, 649, 653, 654, 656, 657, 659, 661, 662, 663, 665, 666, 668, 670, 673, 675, 678, 
      679, 681, 682, 684, 686, 687, 688, 690, 691, 692, 693, 695, 698, 699, 700, 708, 713, 714, 715, 
      717, 720, 722, 724, 725, 735, 736, 737, 739, 743, 744, 749, 751, 757, 765, 769, 773, 779, 783, 
      784, 787, 792, 796, 800, 804, 805, 811, 812, 813, 814, 816, 817, 821, 822, 826, 827, 828, 830, 
      837, 842, 853, 854, 855, 856, 857, 859, 860, 863, 868, 871, 874, 875, 877, 881, 884, 887, 888, 
      889, 896, 898, 899, 905, 907, 910, 913, 919, 920, 926, 931, 934, 935, 936, 940, 944, 952, 955, 
      971, 976, 977, 978, 986, 989, 990, 996, 997, 1001, 1003, 1007, 1008, 1009, 1013, 1016, 1019, 
      1025, 1030, 1033, 1036, 1037, 1042, 1046, 1053, 1059, 1064, 1066, 1069, 1070, 1071, 1077, 1084, 
      1085, 1087, 1091, 1093, 1094, 1095, 1097, 1106, 1108, 1115, 1116, 1117, 1121, 1123, 1135, 1136, 
      1137, 1141, 1143, 1148, 1155, 1157, 1159, 1160, 1161, 1164, 1165, 1166, 1168, 1172, 1173, 1174, 
      1175, 1178, 1183, 1187, 1189, 1191, 1196, 1198, 1203, 1206, 1208, 1211, 1217, 1218, 1220, 1221, 
      1223, 1236, 1238, 1240, 1241, 1246, 1247, 1249, 1250, 1255, 1256, 1257, 1261, 1264, 1265, 1267, 
      1270, 1273, 1275, 1277, 1280, 1285, 1286, 1300, 1301, 1302, 1303, 1308, 1309, 1317, 1318, 1321, 
      1324, 1326, 1327, 1330, 1340, 1341, 1343, 1344, 1346, 1347, 1348, 1350 ], 
  [ 2, 4, 5, 7, 7, 9, 10, 12, 12, 13, 14, 14, 14, 14, 18, 20, 22, 25, 25, 27, 28, 30, 31, 31, 31, 31, 
      34, 37, 37, 39, 40, 43, 43, 44, 44, 45, 47, 47, 48, 50, 50, 50, 50, 51, 51, 52, 55, 56, 56, 56, 
      56, 57, 58, 58, 60, 64, 64, 67, 69, 70, 70, 71, 71, 73, 73, 74, 74, 74, 75, 76, 78, 79, 80, 81, 
      81, 82, 83, 84, 85, 86, 87, 88, 91, 91, 92, 92, 93, 93, 94, 94, 96, 96, 98, 98, 101, 101, 101, 
      101, 101, 101, 102, 105, 105, 105, 105, 106, 107, 107, 107, 107, 108, 108, 108, 108, 110, 110, 
      113, 114, 114, 118, 118, 119, 124, 127, 128, 129, 129, 130, 131, 135, 135, 135, 136, 136, 137, 
      138, 140, 140, 141, 141, 142, 142, 142, 142, 143, 143, 145, 146, 146, 147, 147, 147, 147, 147, 
      150, 151, 153, 153, 155, 155, 155, 155, 155, 158, 159, 159, 159, 159, 160, 161, 163, 163, 165, 
      165, 165, 165, 169, 171, 172, 172, 173, 173, 175, 175, 176, 177, 178, 178, 179, 180, 182, 182, 
      184, 186, 188, 189, 190, 195, 197, 199, 199, 202, 202, 202, 202, 202, 203, 203, 203, 203, 204, 
      205, 206, 206, 207, 209, 210, 211, 212, 214, 216, 217, 217, 219, 219, 220, 220, 223, 223, 223, 
      223, 225, 225, 227, 228, 228, 228, 229, 231, 231, 232, 232, 233, 233, 236, 237, 241, 242, 243, 
      244, 247, 247, 248, 248, 251, 254, 256, 257, 257, 258, 260, 260, 261, 261, 263, 263, 264, 264, 
      265, 265, 267, 269, 269, 271, 271, 272, 274, 274, 274, 275, 278, 278, 279, 282, 282, 286, 287, 
      288, 288, 292, 293, 294, 295, 296, 298, 298, 300, 301, 302, 302, 302, 304, 305, 305, 305, 308, 
      308, 308, 308, 308, 309, 309, 309, 309, 309, 309, 311, 311, 312, 313, 313, 313, 313, 315, 319, 
      319, 322, 323, 326, 326, 329, 330, 331, 331, 331, 331, 331, 333, 334, 334, 334, 334, 336, 337, 
      337, 337, 337, 338, 338, 339, 343, 344, 349, 350, 350, 352, 352, 352, 352, 355, 355, 356, 359, 
      360, 362, 364, 366, 366, 367, 368, 368, 369, 371, 372, 374, 377, 377, 378, 381, 385, 386, 387, 
      391, 391, 391, 391, 392, 392, 393, 393, 396, 397, 397, 398, 399, 399, 400, 401, 402, 402, 402, 
      402, 402, 405, 407, 407, 408, 408, 411, 412, 413, 415, 415, 418, 418, 419, 421, 422, 422, 423, 
      423, 425, 426, 427, 427, 427, 427, 427, 427, 430, 430, 431, 431, 432, 435, 435, 435, 438, 438, 
      440, 443, 443, 444, 447, 447, 448, 451, 451, 451, 451, 451, 451, 454, 455, 457, 460, 462, 462, 
      462, 465, 466, 466, 466, 466, 467, 467, 467, 467, 467, 468, 470, 472, 472, 472, 472, 473, 474, 
      475, 475, 476, 477, 477, 478, 481, 481, 482, 484, 486, 487, 487, 487, 487, 487, 489, 490, 490, 
      490, 490, 490, 492, 494, 494, 494, 494, 494, 495, 495, 497, 497, 498, 500, 502, 502, 504, 506, 
      507, 508, 509, 509, 509, 514, 514, 514, 514, 514, 514, 517, 520, 526, 527, 527, 527, 527, 527, 
      527, 528, 532, 532, 536, 536, 539, 540, 543, 548, 549, 551, 551, 554, 557, 557, 559, 560, 560, 
      561, 561, 562, 563, 566, 568, 569, 569, 571, 571, 572, 573, 573, 573, 573, 574, 575, 577, 578, 
      579, 580, 580, 580, 580, 580, 581, 581, 582, 584, 585, 588, 589, 589, 593, 593, 595, 595, 600, 
      601, 601, 601, 601, 601, 603, 603, 604, 606, 609, 610, 611, 612, 612, 613, 613, 614, 615, 616, 
      617, 618, 621, 625, 625, 625, 625, 626, 626, 628, 628, 628, 628, 629, 629, 630, 631, 631, 632, 
      633, 633, 635, 636, 636, 638, 642, 643, 652, 654, 654, 654, 654, 654, 657, 660, 662, 663, 664, 
      664, 665, 666, 667, 668, 670, 674, 680, 681, 682, 682, 682, 685, 687, 688, 689, 689, 689, 689, 
      690, 691, 692, 693, 694, 694, 695, 695, 696, 696, 697, 697, 698, 700, 702, 704, 705, 706, 706, 
      706, 706, 707, 708, 708, 710, 711, 713, 713, 716, 716, 719, 721, 722, 722, 722, 722, 727, 727, 
      729, 733, 733, 734, 734, 735, 735, 735, 735, 737, 738, 739, 739, 740, 740, 741, 741, 744, 744, 
      749, 750, 750, 750, 750, 750, 750, 751, 751, 751, 751, 752, 752, 752, 755, 755, 756, 756, 757, 
      757, 758, 758, 759, 759, 760, 760, 760, 760, 760, 760, 763, 763, 763, 766, 768, 770, 773, 774, 
      774, 774, 777, 782, 784, 784, 785, 786, 787, 789, 789, 790, 791, 791, 792, 792, 792, 792, 792, 
      794, 794, 797, 797, 797, 797, 797, 798, 798, 798, 799, 800, 800, 801, 802, 803, 803, 803, 803, 
      803, 804, 804, 808, 808, 808, 808, 810, 811, 811, 812, 813, 814, 814, 815, 816, 817, 818, 818, 
      818, 818, 818, 819, 819, 819, 819, 819, 820, 821, 821, 825, 827, 828, 828, 829, 829, 831, 832, 
      832, 833, 835, 835, 838, 839, 839, 843, 843, 844, 845, 847, 849, 849, 849, 849, 850, 851, 851, 
      851, 851, 852, 852, 852, 852, 852, 852, 853, 853, 853, 853, 854, 856, 857, 860, 860, 861, 861, 
      862, 862, 862, 862, 866, 866, 866, 867, 868, 869, 870, 871, 872, 872, 874, 874, 874, 874, 876, 
      877, 877, 878, 880, 880, 883, 883, 884, 885, 888, 888, 889, 890, 890, 892, 892, 892, 892, 892, 
      893, 893, 894, 895, 897, 898, 901, 901, 902, 902, 903, 904, 904, 907, 907, 908, 908, 910, 910, 
      911, 913, 913, 914, 916, 917, 919, 919, 921, 922, 923, 923, 924, 924, 925, 925, 927, 927, 928, 
      928, 930, 934, 934, 935, 936, 938, 941, 941, 942, 945, 946, 948, 948, 948, 950, 952, 953, 958, 
      958, 959, 961, 961, 962, 963, 963, 963, 963, 963, 965, 965, 967, 967, 967, 967, 967, 968, 968, 
      970, 970, 971, 971, 971, 971, 972, 974, 974, 975, 975, 977, 977, 978, 978, 979, 980, 981, 982, 
      985, 985, 987, 991, 994, 998, 998, 999, 999, 1000, 1000, 1001, 1001, 1002, 1002, 1002, 1003, 
      1003, 1005, 1005, 1005, 1005, 1005, 1005, 1007, 1007, 1008, 1008, 1009, 1010, 1010, 1012, 1018, 
      1018, 1019, 1021, 1021, 1022, 1022, 1023, 1023, 1023, 1025, 1025, 1028, 1028, 1029, 1029, 1030, 
      1030, 1032, 1033, 1034, 1035, 1035, 1035, 1036, 1041, 1041, 1043, 1043, 1045, 1045, 1046, 1047, 
      1048, 1049, 1051, 1051, 1052, 1052, 1054, 1054, 1055, 1057, 1058, 1058, 1058, 1058, 1058, 1058, 
      1059, 1060, 1062, 1063, 1064, 1066, 1067, 1068, 1070, 1073, 1077, 1079, 1079, 1080, 1081, 1082, 
      1084, 1085, 1085, 1085, 1086, 1087, 1088, 1090, 1091, 1093, 1093, 1094, 1095, 1095, 1095, 1095, 
      1095, 1095, 1096, 1098, 1102, 1104, 1104, 1106, 1107, 1110, 1112, 1112, 1112, 1112, 1112, 1114, 
      1115, 1116, 1117, 1118, 1118, 1119, 1119, 1121, 1123, 1127, 1127, 1127, 1128, 1129, 1130, 1130, 
      1131, 1131, 1131, 1131, 1131, 1131, 1133, 1133, 1135, 1137, 1137, 1141, 1144, 1145, 1146, 1146, 
      1150, 1151, 1151, 1151, 1151, 1151, 1152, 1152, 1154, 1154, 1155, 1157, 1159, 1159, 1160, 1161, 
      1162, 1163, 1164, 1164, 1165, 1165, 1167, 1168, 1169, 1170, 1172, 1172, 1174, 1174, 1175, 1176, 
      1176, 1178, 1181, 1181, 1183, 1183, 1184, 1185, 1186, 1186, 1186, 1187, 1189, 1189, 1189, 1189, 
      1190, 1192, 1193, 1193, 1193, 1193, 1193, 1194, 1194, 1196, 1196, 1197, 1198, 1198, 1198, 1201, 
      1202, 1202, 1203, 1206, 1206, 1206, 1206, 1206, 1207, 1207, 1210, 1211, 1213, 1213, 1213, 1214, 
      1215, 1218, 1220, 1220, 1221, 1221, 1222, 1223, 1225, 1225, 1229, 1229, 1230, 1230, 1232, 1232, 
      1234, 1234, 1234, 1234, 1234, 1236, 1238, 1241, 1241, 1242, 1242, 1243, 1243, 1243, 1247, 1248, 
      1251, 1251, 1252, 1252, 1252, 1252, 1254, 1256, 1256, 1257, 1257, 1258, 1261, 1264, 1265, 1267, 
      1270, 1275, 1275, 1276, 1278, 1279, 1285, 1290, 1291, 1293, 1293, 1294, 1296, 1296, 1296, 1296, 
      1298, 1302, 1304, 1307, 1309, 1309, 1311, 1311, 1312, 1315, 1315, 1316, 1317, 1318, 1319, 1319, 
      1320, 1320, 1321, 1321, 1326, 1326, 1333, 1334, 1335, 1337, 1339, 1340, 1340, 1342, 1344, 1344, 
      1347, 1347, 1347, 1347, 1348, 1348, 1348, 1348, 1349, 1349, 1350, 1355, 1356, 1356, 1360, 1360, 
      1360, 1362, 1362 ] ]