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      1093, 1127, 1180, 1249 ], [ 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 10, 14, 17, 
      27, 30, 30, 30, 30, 30, 30, 30, 30, 30, 32, 33, 38, 39, 42, 47, 52, 53, 64, 64, 64, 64, 64, 64, 
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      82, 82, 82, 83, 83, 83, 83, 83, 83, 83, 83, 83, 85, 86, 87, 98, 98, 98, 98, 98, 98, 98, 98, 98, 
      98, 99, 99, 99, 99, 99, 99, 99, 99, 99, 107, 114, 117, 117, 117, 117, 117, 117, 117, 117, 117, 
      119, 126, 126, 126, 126, 126, 126, 126, 126, 126, 128, 135, 142, 146, 147, 152, 157, 158, 162, 
      165, 169, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 171, 171, 171, 171, 171, 
      171, 171, 171, 171, 174, 179, 179, 179, 179, 179, 179, 179, 179, 179, 182, 183, 184, 185, 185, 
      185, 185, 185, 185, 185, 185, 185, 187, 191, 194, 201, 203, 204, 205, 207, 207, 207, 207, 207, 
      207, 207, 207, 207, 207, 212, 215, 215, 215, 215, 215, 215, 215, 215, 215, 216, 229, 230, 240, 
      241, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 254, 256, 257, 261, 263, 265, 268, 271, 
      271, 271, 271, 271, 271, 271, 271, 271, 283, 285, 285, 285, 285, 285, 285, 285, 285, 285, 292, 
      293, 296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 297, 297, 297, 297, 297, 297, 297, 297, 
      297, 297, 298, 298, 298, 298, 298, 298, 298, 298, 298, 306, 313, 313, 313, 313, 313, 313, 313, 
      313, 313, 313, 313, 313, 318, 319, 321, 326, 326, 326, 326, 326, 326, 326, 326, 326, 326, 330, 
      332, 336, 342, 346, 346, 346, 346, 346, 346, 346, 346, 346, 348, 357, 361, 369, 372, 379, 379, 
      379, 379, 379, 379, 379, 379, 379, 379, 381, 382, 382, 382, 382, 382, 382, 382, 382, 382, 382, 
      382, 382, 383, 388, 394, 394, 394, 394, 394, 394, 394, 394, 394, 394, 398, 400, 400, 400, 400, 
      400, 400, 400, 400, 400, 403, 403, 403, 403, 403, 403, 403, 403, 403, 403, 404, 404, 404, 404, 
      404, 404, 404, 404, 404, 405, 405, 405, 405, 405, 405, 405, 405, 405, 414, 419, 419, 419, 419, 
      419, 419, 419, 419, 419, 424, 425, 426, 434, 436, 436, 436, 436, 436, 436, 436, 436, 436, 447, 
      447, 447, 447, 447, 447, 447, 447, 447, 447, 450, 452, 452, 452, 452, 452, 452, 452, 452, 452, 
      456, 459, 472, 472, 472, 472, 472, 472, 472, 472, 472, 476, 478, 478, 478, 478, 478, 478, 478, 
      478, 478, 483, 486, 486, 486, 486, 486, 486, 486, 486, 486, 486, 489, 489, 489, 489, 489, 489, 
      489, 489, 489, 489, 489, 489, 491, 493, 493, 493, 493, 493, 493, 493, 493, 493, 496, 505, 507, 
      511, 516, 520, 520, 520, 520, 520, 520, 520, 520, 520, 523, 532, 533, 540, 545, 548, 553, 553, 
      553, 553, 553, 553, 553, 553, 553, 557, 558, 558, 558, 558, 558, 558, 558, 558, 558, 565, 566, 
      568, 568, 568, 568, 568, 568, 568, 568, 568, 569, 569, 569, 569, 569, 569, 569, 569, 569, 572, 
      578, 580, 581, 581, 581, 581, 581, 581, 581, 581, 581, 581, 584, 586, 587, 588, 593, 598, 601, 
      610, 611, 612, 614, 619, 620, 623, 623, 623, 623, 623, 623, 623, 623, 623, 623, 626, 626, 626, 
      626, 626, 626, 626, 626, 626, 627, 634, 635, 638, 641, 641, 641, 641, 641, 641, 641, 641, 641, 
      651, 655, 655, 655, 655, 655, 655, 655, 655, 655, 656, 657, 662, 664, 665, 666, 669, 671, 671, 
      671, 671, 671, 671, 671, 671, 671, 674, 674, 674, 674, 674, 674, 674, 674, 674, 675, 675, 675, 
      675, 675, 675, 675, 675, 675, 676, 676, 676, 676, 676, 676, 676, 676, 676, 684, 689, 689, 689, 
      689, 689, 689, 689, 689, 689, 691, 691, 691, 691, 691, 691, 691, 691, 691, 691, 692, 692, 692, 
      692, 692, 692, 692, 692, 692, 692, 693, 693, 693, 693, 693, 693, 693, 693, 693, 698, 698, 698, 
      698, 698, 698, 698, 698, 698, 711, 713, 713, 713, 713, 713, 713, 713, 713, 713, 713, 713, 713, 
      714, 720, 721, 721, 721, 721, 721, 721, 721, 721, 721, 721, 724, 724, 724, 724, 724, 724, 724, 
      724, 724, 724, 728, 736, 736, 736, 736, 736, 736, 736, 736, 736, 736, 737, 737, 737, 737, 737, 
      737, 737, 737, 737, 742, 742, 742, 742, 742, 742, 742, 742, 742, 746, 747, 752, 755, 755, 755, 
      755, 755, 755, 755, 755, 755, 755, 759, 771, 779, 784, 787, 790, 793, 794, 799, 799, 799, 799, 
      799, 799, 799, 799, 799, 809, 810, 813, 813, 813, 813, 813, 813, 813, 813, 813, 813, 815, 827, 
      834, 834, 834, 834, 834, 834, 834, 834, 834, 835, 836, 840, 840, 840, 840, 840, 840, 840, 840, 
      840, 840, 842, 842, 842, 842, 842, 842, 842, 842, 842, 842, 850, 851, 854, 854, 854, 854, 854, 
      854, 854, 854, 854, 854, 857, 857, 857, 857, 857, 857, 857, 857, 857, 858, 861, 861, 861, 861, 
      861, 861, 861, 861, 861, 862, 870, 875, 877, 877, 877, 877, 877, 877, 877, 877, 877, 877, 879, 
      879, 879, 879, 879, 879, 879, 879, 879, 898, 904, 906, 907, 908, 911, 915, 920, 930, 937, 937, 
      937, 937, 937, 937, 937, 937, 937, 937, 944, 947, 947, 947, 947, 947, 947, 947, 947, 947, 947, 
      950, 950, 950, 950, 950, 950, 950, 950, 950, 950, 956, 957, 957, 957, 957, 957, 957, 957, 957, 
      957, 957, 960, 963, 963, 963, 963, 963, 963, 963, 963, 963, 963, 967, 970, 975, 975, 975, 975, 
      975, 975, 975, 975, 975, 975, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 980, 990, 993, 
      995, 1002, 1002, 1002, 1002, 1002, 1002, 1002, 1002, 1002, 1004, 1010, 1010, 1010, 1010, 1010, 
      1010, 1010, 1010, 1010, 1022, 1022, 1022, 1022, 1022, 1022, 1022, 1022, 1022, 1026, 1026, 1026, 
      1026, 1026, 1026, 1026, 1026, 1026, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 1029, 
      1038, 1039, 1040, 1041, 1044, 1046, 1047, 1060, 1065, 1070, 1072, 1073, 1074, 1075, 1084, 1084, 
      1084, 1084, 1084, 1084, 1084, 1084, 1084, 1084, 1086, 1089, 1094, 1094, 1094, 1094, 1094, 1094, 
      1094, 1094, 1094, 1094, 1098, 1099, 1099, 1099, 1099, 1099, 1099, 1099, 1099, 1099, 1099, 1109, 
      1109, 1109, 1109, 1109, 1109, 1109, 1109, 1109, 1111, 1114, 1114, 1114, 1114, 1114, 1114, 1114, 
      1114, 1114, 1116, 1131, 1134, 1136, 1136, 1136, 1136, 1136, 1136, 1136, 1136, 1136, 1138, 1143, 
      1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1145, 1151, 1156, 1158, 1168, 1169, 1169, 
      1169, 1169, 1169, 1169, 1169, 1169, 1169, 1169, 1171, 1176, 1176, 1176, 1176, 1176, 1176, 1176, 
      1176, 1176, 1180, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1184, 1186, 
      1191, 1199, 1201, 1206, 1207, 1207, 1207, 1207, 1207, 1207, 1207, 1207, 1207, 1207, 1208, 1211, 
      1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1212, 1212, 1212, 1212, 1212, 1212, 1212, 
      1212, 1212, 1219, 1219, 1219, 1219, 1219, 1219, 1219, 1219, 1219, 1220, 1220, 1220, 1220, 1220, 
      1220, 1220, 1220, 1220, 1220, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1229, 1238, 
      1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1244, 1244, 1244, 1244, 1244, 1244, 
      1244, 1244, 1244, 1244, 1248, 1248, 1248, 1248, 1248, 1248, 1248, 1248, 1248, 1269, 1269, 1269, 
      1269, 1269, 1269, 1269, 1269, 1269, 1269, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 
      1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1281 ] ]