[ [ 5, 11, 25, 35, 52, 71, 99, 103, 107, 146, 158, 163, 169, 170, 186, 190, 195, 201, 205, 219, 220, 
      226, 238, 242, 245, 246, 268, 285, 300, 308, 319, 320, 332, 350, 362, 379, 410, 418, 431, 437, 
      459, 465, 468, 481, 485, 490, 498, 502, 506, 516, 517, 534, 547, 555, 571, 574, 578, 588, 599, 
      602, 608, 631, 634, 643, 651, 652, 686, 707, 720, 722, 729, 730, 732, 745, 752, 768, 774, 808, 
      821, 834, 835, 850, 857, 878, 881, 887, 899, 904, 916, 936, 943, 958, 959, 968, 986, 1001, 1006, 
      1012, 1035, 1044, 1091, 1103, 1104, 1107, 1110, 1121, 1127, 1131, 1138, 1146, 1147, 1160, 1166, 
      1205, 1210, 1230, 1269, 1293, 1296, 1308, 1334, 1337, 1361, 1386, 1394, 1398, 1403, 1405 ], 
  [ 5, 9, 10, 10, 11, 11, 12, 12, 15, 16, 17, 18, 18, 19, 20, 22, 22, 23, 24, 24, 25, 25, 26, 28, 29, 
      30, 32, 33, 34, 34, 36, 37, 37, 39, 39, 41, 43, 43, 43, 44, 44, 46, 47, 48, 49, 50, 50, 50, 51, 
      51, 52, 55, 55, 56, 56, 58, 58, 60, 63, 63, 65, 66, 68, 69, 69, 69, 70, 70, 71, 73, 73, 74, 75, 
      75, 78, 78, 80, 80, 84, 84, 85, 85, 87, 90, 91, 91, 92, 93, 93, 94, 94, 95, 96, 96, 100, 100, 
      101, 101, 103, 104, 105, 105, 106, 107, 107, 109, 111, 112, 116, 118, 118, 119, 119, 122, 122, 
      123, 123, 124, 125, 126, 126, 127, 127, 129, 130, 136, 137, 138, 139, 139, 140, 141, 142, 143, 
      144, 144, 144, 145, 145, 146, 150, 151, 152, 152, 154, 155, 155, 155, 157, 158, 159, 159, 162, 
      163, 163, 163, 164, 165, 166, 166, 166, 167, 167, 169, 170, 171, 171, 171, 172, 172, 174, 174, 
      174, 175, 176, 177, 178, 178, 180, 180, 181, 181, 185, 185, 186, 187, 188, 188, 191, 191, 191, 
      192, 192, 192, 193, 193, 194, 194, 195, 195, 196, 196, 197, 197, 198, 198, 198, 199, 199, 200, 
      201, 201, 202, 204, 204, 207, 211, 211, 211, 214, 215, 217, 220, 220, 223, 223, 224, 225, 226, 
      230, 232, 235, 236, 237, 239, 239, 239, 240, 242, 243, 243, 245, 246, 247, 249, 250, 252, 253, 
      253, 256, 256, 257, 257, 258, 258, 259, 262, 263, 263, 268, 269, 271, 271, 272, 273, 273, 274, 
      274, 277, 278, 280, 281, 283, 283, 285, 287, 287, 288, 288, 291, 292, 294, 294, 295, 295, 296, 
      297, 297, 298, 299, 299, 300, 302, 304, 305, 306, 307, 307, 308, 308, 310, 311, 311, 312, 312, 
      314, 314, 316, 316, 316, 318, 320, 320, 321, 322, 322, 322, 323, 324, 324, 325, 326, 328, 328, 
      328, 330, 331, 333, 333, 334, 334, 335, 336, 336, 337, 337, 338, 339, 340, 341, 341, 341, 342, 
      343, 343, 343, 344, 345, 346, 348, 349, 349, 349, 350, 351, 351, 351, 352, 354, 355, 355, 357, 
      359, 359, 360, 362, 362, 363, 363, 364, 367, 369, 372, 372, 375, 375, 375, 376, 377, 377, 378, 
      379, 379, 380, 381, 382, 382, 382, 383, 384, 385, 388, 390, 391, 391, 393, 393, 394, 394, 395, 
      397, 397, 398, 399, 402, 402, 403, 403, 405, 406, 407, 408, 408, 409, 409, 410, 411, 413, 413, 
      415, 418, 418, 420, 422, 422, 423, 423, 423, 424, 426, 426, 427, 427, 429, 429, 432, 435, 435, 
      436, 437, 437, 438, 442, 443, 443, 444, 444, 447, 447, 448, 450, 452, 452, 452, 453, 454, 455, 
      455, 456, 458, 459, 460, 461, 461, 462, 464, 466, 467, 468, 471, 475, 475, 475, 477, 479, 480, 
      480, 482, 484, 484, 484, 485, 485, 485, 486, 486, 486, 488, 489, 491, 491, 491, 492, 492, 492, 
      494, 495, 495, 497, 497, 500, 500, 502, 502, 502, 503, 505, 505, 505, 507, 507, 509, 509, 509, 
      510, 510, 510, 512, 514, 514, 514, 515, 515, 516, 516, 517, 519, 519, 520, 520, 521, 521, 522, 
      523, 524, 524, 525, 525, 528, 528, 528, 530, 531, 532, 533, 533, 536, 536, 537, 538, 539, 541, 
      543, 544, 544, 546, 546, 546, 547, 548, 548, 550, 550, 551, 553, 553, 557, 557, 560, 560, 561, 
      562, 563, 564, 565, 567, 567, 567, 568, 568, 569, 570, 573, 575, 576, 577, 578, 578, 579, 579, 
      580, 580, 581, 583, 583, 585, 585, 585, 586, 587, 587, 587, 589, 590, 591, 592, 592, 593, 593, 
      594, 594, 597, 598, 598, 601, 601, 602, 604, 605, 606, 607, 609, 609, 610, 610, 612, 614, 614, 
      616, 618, 619, 619, 621, 623, 623, 623, 625, 626, 627, 627, 627, 628, 628, 630, 630, 631, 631, 
      632, 632, 634, 634, 635, 636, 636, 638, 639, 640, 641, 641, 642, 642, 642, 643, 643, 645, 646, 
      647, 648, 648, 649, 650, 650, 651, 653, 653, 655, 656, 656, 657, 657, 659, 659, 659, 661, 661, 
      661, 662, 662, 664, 667, 667, 671, 671, 672, 672, 674, 675, 675, 679, 680, 681, 684, 684, 685, 
      686, 686, 689, 690, 691, 692, 692, 693, 694, 698, 701, 703, 703, 703, 704, 704, 706, 707, 707, 
      708, 710, 710, 711, 711, 713, 715, 716, 716, 716, 717, 720, 722, 726, 726, 727, 729, 729, 730, 
      731, 734, 734, 735, 736, 739, 740, 740, 740, 741, 742, 743, 743, 748, 748, 749, 750, 751, 751, 
      752, 755, 757, 757, 758, 758, 759, 759, 762, 763, 764, 765, 770, 772, 772, 774, 774, 775, 778, 
      780, 782, 782, 783, 785, 786, 787, 788, 788, 789, 792, 797, 798, 800, 800, 801, 802, 803, 806, 
      806, 807, 808, 810, 811, 812, 814, 822, 823, 823, 825, 825, 826, 826, 826, 827, 827, 831, 832, 
      833, 833, 834, 834, 836, 836, 839, 842, 845, 845, 846, 848, 849, 849, 849, 850, 850, 851, 854, 
      854, 854, 855, 856, 856, 857, 857, 857, 858, 858, 860, 862, 863, 863, 864, 865, 865, 868, 868, 
      869, 869, 870, 871, 872, 873, 873, 876, 879, 879, 879, 883, 888, 889, 889, 889, 890, 891, 891, 
      891, 892, 892, 892, 894, 894, 895, 896, 896, 900, 903, 903, 904, 904, 906, 907, 907, 909, 911, 
      911, 914, 915, 916, 918, 918, 919, 919, 919, 920, 921, 922, 923, 926, 927, 928, 930, 930, 930, 
      931, 931, 933, 935, 935, 937, 938, 938, 939, 939, 940, 940, 940, 942, 943, 943, 944, 945, 946, 
      946, 950, 951, 951, 952, 952, 953, 954, 954, 955, 955, 956, 957, 957, 959, 959, 963, 963, 966, 
      966, 966, 968, 972, 973, 974, 977, 977, 977, 978, 978, 979, 981, 981, 982, 982, 983, 984, 984, 
      986, 986, 987, 989, 993, 993, 995, 995, 995, 996, 997, 1001, 1002, 1002, 1003, 1004, 1004, 1004, 
      1007, 1007, 1008, 1008, 1009, 1010, 1010, 1011, 1011, 1012, 1012, 1014, 1015, 1015, 1016, 1018, 
      1018, 1018, 1019, 1020, 1020, 1020, 1021, 1021, 1021, 1023, 1023, 1029, 1029, 1031, 1031, 1032, 
      1032, 1032, 1033, 1033, 1034, 1035, 1036, 1037, 1037, 1038, 1038, 1038, 1040, 1041, 1041, 1041, 
      1042, 1042, 1043, 1044, 1044, 1045, 1045, 1049, 1050, 1050, 1054, 1054, 1056, 1056, 1058, 1059, 
      1059, 1060, 1060, 1061, 1062, 1063, 1063, 1064, 1064, 1067, 1067, 1068, 1069, 1069, 1070, 1070, 
      1071, 1071, 1072, 1073, 1073, 1074, 1074, 1075, 1075, 1076, 1076, 1078, 1078, 1084, 1085, 1086, 
      1087, 1090, 1091, 1091, 1093, 1093, 1099, 1101, 1102, 1102, 1104, 1105, 1105, 1107, 1109, 1112, 
      1112, 1113, 1114, 1115, 1115, 1116, 1116, 1117, 1117, 1118, 1119, 1119, 1120, 1120, 1121, 1121, 
      1122, 1123, 1123, 1124, 1125, 1127, 1128, 1130, 1130, 1131, 1132, 1133, 1134, 1137, 1138, 1139, 
      1139, 1145, 1145, 1146, 1147, 1147, 1151, 1151, 1151, 1152, 1153, 1153, 1154, 1154, 1156, 1157, 
      1158, 1158, 1159, 1159, 1159, 1161, 1161, 1163, 1164, 1165, 1165, 1166, 1166, 1168, 1168, 1171, 
      1171, 1172, 1173, 1178, 1178, 1179, 1181, 1181, 1183, 1183, 1183, 1184, 1185, 1188, 1192, 1192, 
      1193, 1193, 1197, 1197, 1198, 1201, 1202, 1202, 1203, 1203, 1205, 1206, 1206, 1208, 1208, 1209, 
      1211, 1214, 1217, 1219, 1220, 1220, 1221, 1221, 1223, 1223, 1225, 1225, 1233, 1234, 1234, 1234, 
      1236, 1237, 1238, 1238, 1239, 1239, 1240, 1242, 1242, 1243, 1243, 1243, 1244, 1244, 1244, 1246, 
      1246, 1248, 1249, 1250, 1251, 1251, 1252, 1253, 1254, 1254, 1254, 1255, 1255, 1256, 1257, 1257, 
      1259, 1262, 1262, 1264, 1264, 1265, 1265, 1267, 1267, 1268, 1268, 1269, 1270, 1271, 1272, 1272, 
      1272, 1274, 1275, 1275, 1276, 1277, 1279, 1280, 1282, 1282, 1282, 1283, 1284, 1284, 1285, 1285, 
      1286, 1286, 1287, 1288, 1288, 1290, 1290, 1291, 1291, 1291, 1293, 1294, 1295, 1295, 1297, 1297, 
      1298, 1298, 1299, 1300, 1301, 1303, 1303, 1304, 1305, 1307, 1307, 1308, 1308, 1308, 1310, 1310, 
      1311, 1311, 1313, 1314, 1314, 1315, 1316, 1318, 1318, 1319, 1321, 1321, 1322, 1322, 1323, 1323, 
      1323, 1324, 1325, 1327, 1327, 1327, 1328, 1330, 1330, 1330, 1332, 1332, 1334, 1334, 1335, 1335, 
      1339, 1340, 1341, 1344, 1344, 1345, 1345, 1345, 1349, 1350, 1350, 1350, 1351, 1352, 1354, 1354, 
      1355, 1356, 1357, 1357, 1358, 1358, 1359, 1360, 1362, 1362, 1363, 1363, 1363, 1364, 1364, 1365, 
      1367, 1368, 1369, 1369, 1371, 1371, 1375, 1375, 1378, 1379, 1381, 1381, 1384, 1385, 1385, 1389, 
      1390, 1391, 1393, 1393, 1394, 1396, 1397, 1397, 1398, 1398, 1400, 1401, 1404, 1406, 1406, 1407, 
      1407, 1408, 1408, 1408 ] ]