[ [ 4, 38, 54, 83, 90, 109, 111, 132, 133, 141, 146, 170, 179, 191, 195, 238, 244, 249, 259, 271, 297, 
      315, 317, 320, 346, 355, 359, 388, 389, 392, 444, 474, 513, 531, 550, 558, 571, 573, 580, 596, 
      610, 634, 637, 652, 659, 664, 682, 689, 702, 728, 734, 755, 757, 768, 772, 802, 804, 806, 829, 
      866, 867, 870, 889, 900, 904, 910, 919, 920, 948, 953, 971, 983, 986, 989, 1013, 1025, 1027, 
      1041, 1045, 1058, 1060, 1067, 1072, 1084, 1087 ], 
  [ 2, 2, 4, 4, 7, 7, 8, 8, 9, 9, 10, 10, 12, 12, 13, 13, 16, 16, 19, 19, 21, 21, 24, 24, 25, 25, 26, 
      26, 27, 27, 29, 29, 34, 34, 36, 36, 39, 39, 41, 41, 42, 42, 44, 44, 45, 45, 49, 49, 51, 51, 53, 
      53, 57, 57, 58, 58, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 67, 67, 69, 72, 72, 73, 73, 74, 74, 
      75, 75, 76, 76, 77, 77, 78, 80, 80, 81, 83, 83, 85, 87, 87, 91, 91, 92, 92, 93, 93, 94, 95, 95, 
      96, 96, 97, 97, 100, 100, 101, 101, 102, 102, 103, 103, 107, 107, 109, 109, 110, 111, 111, 115, 
      115, 116, 116, 117, 117, 118, 118, 120, 120, 124, 124, 126, 126, 127, 127, 128, 128, 130, 130, 
      134, 134, 135, 135, 137, 137, 141, 141, 142, 143, 145, 147, 147, 148, 149, 152, 153, 154, 154, 
      155, 155, 157, 157, 158, 158, 159, 159, 160, 160, 161, 161, 162, 162, 163, 163, 164, 164, 165, 
      167, 167, 168, 168, 169, 169, 170, 170, 171, 175, 179, 179, 180, 180, 183, 183, 184, 184, 186, 
      186, 187, 187, 188, 188, 191, 191, 192, 192, 193, 193, 194, 194, 196, 196, 197, 197, 198, 198, 
      199, 199, 200, 200, 201, 201, 205, 205, 207, 207, 208, 208, 209, 215, 215, 217, 217, 220, 220, 
      222, 222, 224, 224, 227, 227, 230, 231, 231, 234, 237, 237, 241, 242, 244, 245, 245, 248, 248, 
      249, 249, 250, 250, 251, 251, 252, 252, 256, 259, 260, 261, 261, 268, 268, 269, 270, 270, 271, 
      273, 273, 274, 274, 275, 275, 276, 276, 277, 277, 278, 278, 279, 279, 281, 281, 285, 285, 289, 
      289, 290, 290, 291, 291, 292, 292, 293, 297, 297, 302, 302, 303, 304, 304, 306, 306, 310, 310, 
      311, 311, 312, 312, 318, 318, 319, 319, 320, 320, 321, 321, 325, 325, 326, 326, 329, 329, 331, 
      331, 337, 337, 339, 339, 340, 340, 341, 341, 343, 343, 344, 344, 345, 345, 346, 350, 350, 351, 
      351, 352, 352, 353, 353, 359, 359, 361, 361, 363, 363, 366, 366, 367, 367, 369, 370, 370, 371, 
      371, 372, 372, 375, 375, 376, 376, 380, 380, 381, 381, 382, 382, 384, 384, 385, 385, 387, 387, 
      390, 390, 397, 397, 398, 398, 399, 399, 401, 402, 402, 403, 404, 406, 406, 407, 407, 408, 408, 
      409, 409, 410, 410, 412, 412, 413, 413, 414, 414, 418, 418, 419, 419, 420, 420, 422, 422, 424, 
      424, 425, 425, 426, 426, 427, 427, 430, 430, 431, 431, 435, 435, 436, 436, 437, 440, 442, 442, 
      445, 445, 446, 446, 448, 448, 449, 449, 450, 450, 451, 451, 453, 453, 454, 455, 455, 459, 459, 
      462, 463, 469, 469, 470, 472, 473, 473, 478, 478, 480, 480, 481, 481, 482, 482, 485, 485, 486, 
      487, 487, 488, 488, 491, 491, 493, 493, 496, 496, 498, 499, 499, 500, 500, 501, 501, 502, 502, 
      503, 503, 505, 505, 507, 507, 508, 508, 510, 510, 512, 512, 513, 513, 514, 516, 516, 517, 518, 
      518, 520, 520, 521, 521, 522, 522, 523, 523, 524, 524, 525, 525, 528, 528, 529, 538, 542, 542, 
      543, 545, 545, 546, 546, 547, 547, 550, 550, 553, 553, 554, 554, 555, 555, 557, 558, 558, 559, 
      559, 561, 561, 563, 563, 564, 564, 572, 572, 575, 575, 576, 576, 581, 581, 582, 582, 584, 584, 
      586, 586, 587, 587, 588, 588, 590, 590, 591, 591, 594, 594, 595, 595, 596, 596, 598, 598, 599, 
      599, 601, 601, 602, 602, 603, 603, 607, 607, 608, 608, 610, 610, 611, 611, 615, 615, 617, 618, 
      619, 619, 620, 620, 621, 621, 622, 622, 625, 625, 626, 626, 632, 632, 634, 634, 639, 639, 640, 
      640, 645, 646, 646, 647, 647, 649, 649, 650, 650, 651, 651, 654, 654, 656, 656, 657, 657, 658, 
      658, 659, 659, 660, 660, 663, 663, 664, 664, 666, 666, 667, 667, 668, 668, 669, 669, 670, 670, 
      676, 676, 677, 677, 683, 683, 684, 684, 687, 689, 689, 690, 690, 691, 691, 692, 692, 697, 697, 
      699, 699, 700, 700, 704, 704, 705, 706, 706, 707, 707, 708, 709, 709, 710, 710, 712, 720, 720, 
      723, 724, 724, 726, 729, 729, 730, 730, 731, 731, 733, 734, 734, 735, 735, 736, 736, 737, 738, 
      738, 740, 741, 741, 742, 742, 744, 744, 745, 745, 746, 746, 749, 749, 750, 750, 751, 751, 752, 
      752, 754, 754, 755, 755, 757, 757, 759, 759, 760, 760, 761, 761, 764, 764, 767, 767, 768, 768, 
      769, 769, 770, 772, 772, 773, 773, 776, 776, 779, 779, 782, 782, 783, 783, 785, 785, 786, 786, 
      787, 787, 789, 789, 795, 795, 798, 798, 799, 799, 800, 800, 801, 803, 803, 808, 808, 811, 811, 
      813, 813, 815, 815, 816, 816, 818, 818, 819, 819, 820, 820, 823, 823, 828, 828, 829, 830, 830, 
      833, 833, 834, 834, 835, 835, 839, 841, 841, 842, 842, 843, 843, 845, 845, 847, 847, 849, 849, 
      850, 850, 853, 853, 854, 855, 855, 856, 856, 859, 860, 860, 861, 861, 863, 863, 864, 864, 867, 
      867, 874, 875, 878, 878, 881, 881, 882, 882, 883, 883, 884, 884, 885, 885, 886, 886, 887, 887, 
      888, 888, 889, 890, 890, 894, 894, 895, 895, 897, 897, 899, 899, 900, 900, 901, 901, 905, 905, 
      907, 907, 909, 909, 911, 911, 912, 912, 915, 915, 917, 917, 918, 918, 919, 919, 922, 927, 927, 
      929, 929, 933, 934, 934, 935, 935, 937, 937, 938, 939, 939, 942, 942, 943, 943, 944, 944, 945, 
      945, 947, 947, 949, 949, 952, 953, 955, 955, 956, 956, 958, 958, 959, 959, 960, 960, 961, 961, 
      962, 962, 963, 963, 965, 966, 966, 967, 967, 968, 968, 969, 969, 972, 972, 973, 974, 975, 976, 
      976, 980, 980, 981, 981, 983, 983, 989, 989, 990, 990, 991, 991, 992, 992, 993, 993, 999, 1000, 
      1000, 1001, 1001, 1004, 1004, 1006, 1006, 1009, 1009, 1011, 1011, 1012, 1013, 1013, 1015, 1015, 
      1016, 1019, 1019, 1025, 1025, 1026, 1026, 1028, 1028, 1029, 1029, 1030, 1030, 1032, 1032, 1034, 
      1034, 1036, 1036, 1037, 1037, 1039, 1039, 1040, 1040, 1041, 1044, 1044, 1045, 1045, 1046, 1046, 
      1048, 1048, 1049, 1049, 1050, 1050, 1051, 1051, 1052, 1052, 1053, 1053, 1054, 1054, 1055, 1055, 
      1056, 1058, 1058, 1059, 1059, 1062, 1065, 1066, 1066, 1067, 1068, 1069, 1069, 1070, 1070, 1072, 
      1072, 1074, 1074, 1075, 1075, 1081, 1083, 1083, 1084, 1084, 1086, 1086, 1087, 1087, 1089, 1089, 
      1090, 1090, 1091, 1091, 1093, 1093, 1095, 1095, 1098, 1101, 1101, 1102, 1102, 1103, 1104, 1104 ] ]