[ [ 7, 12, 13, 49, 61, 83, 112, 127, 143, 152, 164, 203, 229, 234, 236, 281, 299, 301, 305, 310, 341, 
      393, 405, 409, 429, 444, 473, 475, 486, 489, 499, 522, 535, 550, 586, 597, 603, 605, 618, 624, 
      628, 631, 643, 665, 673, 674, 677, 678, 680, 684, 693, 702, 722, 730, 739, 753, 764, 773, 788, 
      793, 812, 814, 853, 866, 869, 922, 928, 929, 931, 932, 952, 958, 969, 1008, 1010, 1018, 1032, 
      1051, 1053, 1056, 1074, 1089, 1091, 1094, 1100 ], 
  [ 3, 3, 4, 4, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 14, 14, 15, 15, 16, 16, 18, 18, 19, 19, 20, 20, 21, 
      21, 23, 25, 25, 26, 26, 27, 27, 29, 29, 33, 33, 34, 34, 35, 36, 36, 38, 38, 39, 39, 45, 45, 48, 
      48, 50, 50, 54, 54, 57, 58, 58, 59, 60, 60, 61, 61, 64, 64, 66, 66, 67, 67, 70, 72, 72, 74, 75, 
      75, 77, 77, 79, 79, 80, 80, 81, 81, 86, 86, 88, 88, 90, 90, 93, 93, 94, 94, 95, 95, 97, 97, 99, 
      100, 100, 101, 101, 105, 105, 107, 107, 108, 108, 111, 111, 112, 112, 113, 113, 116, 116, 118, 
      118, 119, 119, 121, 124, 124, 125, 125, 126, 126, 127, 127, 128, 128, 130, 130, 131, 131, 132, 
      132, 135, 135, 136, 136, 137, 137, 141, 141, 142, 142, 144, 144, 145, 145, 146, 149, 149, 153, 
      153, 154, 155, 155, 158, 158, 160, 160, 161, 162, 162, 163, 164, 167, 167, 169, 169, 171, 171, 
      172, 172, 175, 175, 176, 177, 177, 178, 181, 181, 183, 183, 185, 185, 187, 187, 188, 188, 189, 
      189, 191, 191, 192, 192, 195, 195, 196, 196, 197, 198, 198, 201, 201, 203, 203, 207, 207, 208, 
      208, 209, 211, 211, 219, 219, 222, 222, 223, 223, 224, 224, 227, 227, 230, 230, 231, 231, 235, 
      235, 236, 236, 237, 237, 238, 238, 239, 239, 240, 240, 241, 242, 247, 247, 248, 248, 249, 249, 
      251, 251, 253, 253, 255, 255, 256, 257, 260, 260, 262, 262, 263, 263, 265, 265, 266, 268, 269, 
      269, 270, 270, 272, 272, 274, 274, 277, 277, 278, 278, 279, 279, 281, 281, 282, 282, 284, 284, 
      286, 286, 287, 287, 289, 289, 290, 290, 292, 292, 293, 293, 296, 297, 298, 298, 300, 300, 302, 
      302, 305, 305, 306, 306, 307, 307, 308, 308, 310, 311, 311, 312, 312, 315, 315, 317, 317, 318, 
      320, 320, 321, 321, 322, 322, 326, 326, 327, 327, 328, 328, 329, 329, 330, 330, 333, 333, 334, 
      335, 335, 337, 337, 338, 338, 340, 340, 341, 341, 343, 344, 347, 347, 349, 350, 350, 352, 352, 
      354, 354, 356, 356, 359, 359, 360, 360, 361, 361, 366, 366, 367, 367, 368, 371, 371, 372, 372, 
      373, 373, 374, 377, 377, 378, 378, 382, 382, 384, 384, 385, 385, 386, 386, 388, 388, 390, 390, 
      391, 391, 394, 394, 396, 396, 397, 400, 400, 402, 402, 408, 408, 414, 414, 415, 416, 416, 418, 
      418, 420, 420, 421, 421, 422, 422, 423, 423, 424, 424, 425, 425, 429, 429, 430, 430, 433, 433, 
      437, 438, 438, 439, 439, 440, 444, 445, 447, 447, 449, 451, 451, 456, 456, 457, 458, 460, 460, 
      462, 462, 463, 466, 466, 468, 468, 469, 471, 471, 472, 472, 481, 481, 484, 484, 486, 486, 489, 
      489, 490, 490, 492, 492, 494, 494, 497, 497, 498, 498, 499, 499, 503, 503, 505, 505, 506, 506, 
      509, 509, 513, 513, 514, 514, 518, 518, 519, 519, 521, 521, 523, 523, 527, 528, 528, 529, 529, 
      530, 530, 537, 537, 538, 539, 539, 540, 540, 543, 543, 544, 544, 548, 548, 551, 551, 552, 552, 
      553, 553, 556, 556, 558, 558, 559, 559, 560, 560, 564, 564, 566, 566, 567, 567, 570, 570, 573, 
      573, 576, 576, 578, 578, 581, 581, 585, 585, 586, 586, 587, 587, 589, 589, 590, 590, 591, 592, 
      592, 594, 594, 596, 596, 597, 597, 601, 601, 603, 604, 604, 606, 606, 609, 609, 610, 610, 611, 
      611, 612, 612, 620, 620, 626, 626, 627, 627, 628, 630, 630, 631, 631, 632, 632, 634, 634, 635, 
      635, 636, 636, 638, 638, 640, 640, 641, 643, 643, 645, 645, 646, 646, 648, 648, 649, 649, 651, 
      651, 652, 652, 653, 653, 654, 654, 660, 663, 663, 664, 664, 667, 667, 668, 668, 670, 670, 671, 
      671, 672, 672, 674, 674, 675, 675, 676, 676, 680, 680, 681, 681, 683, 683, 684, 684, 686, 686, 
      689, 689, 692, 693, 693, 698, 698, 699, 699, 700, 700, 703, 703, 704, 704, 709, 709, 710, 712, 
      712, 714, 714, 715, 715, 716, 716, 719, 719, 720, 720, 722, 722, 723, 723, 724, 724, 725, 725, 
      726, 726, 728, 728, 730, 730, 732, 732, 735, 736, 736, 737, 737, 740, 740, 741, 741, 742, 742, 
      743, 743, 744, 744, 745, 745, 747, 748, 748, 749, 749, 750, 750, 751, 751, 753, 753, 754, 754, 
      755, 755, 757, 757, 758, 758, 760, 760, 761, 761, 762, 762, 764, 764, 765, 766, 767, 767, 770, 
      770, 771, 771, 773, 773, 775, 775, 778, 778, 779, 779, 780, 780, 781, 781, 784, 784, 786, 786, 
      787, 788, 788, 789, 789, 790, 790, 792, 792, 794, 794, 796, 796, 797, 797, 799, 799, 801, 801, 
      802, 802, 804, 804, 806, 806, 808, 808, 810, 810, 811, 811, 813, 813, 814, 814, 815, 815, 818, 
      819, 819, 820, 820, 821, 821, 823, 823, 826, 826, 827, 827, 828, 828, 831, 831, 834, 834, 835, 
      835, 836, 837, 837, 838, 839, 839, 840, 841, 841, 842, 843, 845, 845, 846, 847, 847, 848, 849, 
      849, 852, 852, 853, 853, 856, 856, 857, 857, 859, 859, 860, 862, 862, 863, 863, 864, 866, 866, 
      868, 869, 871, 871, 878, 878, 879, 880, 880, 881, 881, 890, 890, 891, 891, 893, 893, 895, 895, 
      897, 897, 901, 901, 903, 903, 904, 904, 906, 906, 911, 914, 914, 916, 916, 919, 919, 921, 923, 
      923, 924, 924, 926, 926, 927, 931, 932, 932, 935, 935, 938, 938, 939, 939, 943, 943, 944, 944, 
      946, 946, 949, 949, 951, 952, 952, 953, 953, 955, 955, 956, 956, 957, 957, 958, 958, 960, 960, 
      962, 962, 964, 964, 965, 966, 966, 967, 967, 973, 973, 975, 975, 976, 976, 978, 979, 979, 981, 
      981, 982, 982, 985, 985, 986, 986, 990, 990, 991, 991, 992, 992, 994, 998, 998, 1000, 1001, 1001, 
      1002, 1002, 1004, 1004, 1006, 1006, 1008, 1009, 1011, 1013, 1013, 1014, 1014, 1015, 1015, 1017, 
      1020, 1020, 1021, 1021, 1022, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1032, 1032, 
      1034, 1034, 1035, 1035, 1038, 1038, 1039, 1039, 1041, 1041, 1042, 1042, 1045, 1047, 1047, 1048, 
      1048, 1050, 1051, 1052, 1052, 1053, 1053, 1054, 1054, 1055, 1055, 1056, 1056, 1057, 1057, 1059, 
      1059, 1061, 1061, 1062, 1062, 1063, 1063, 1065, 1065, 1066, 1069, 1069, 1072, 1072, 1073, 1073, 
      1074, 1074, 1077, 1077, 1080, 1080, 1081, 1081, 1084, 1084, 1085, 1085, 1086, 1088, 1088, 1091, 
      1091, 1092, 1092, 1093, 1093, 1095, 1095, 1097, 1097, 1099, 1099, 1101, 1101, 1102, 1102, 1103, 
      1103 ] ]