            [[685, 560, 630, 193, 836, 764, 708, 360, 10, 724, 278, 755, 805, 600, 71, 473, 601, 397, 315, 706, 487, 552, 88, 175, 601, 850, 678, 538, 846, 73, 778, 917, 116, 977, 756, 710, 1023, 848, 432, 449, 851, 100, 985, 178, 756, 798, 660, 148, 911, 424, 289, 962, 266, 698, 640, 545, 544, 715, 245, 152, 676, 511, 460, 883, 184, 29, 803, 129, 129, 933, 54, 902, 551, 489, 757, 274, 336, 389, 618, 43, 443, 544, 889, 258, 322, 1000, 938, 58, 292, 871, 120, 780, 431, 83, 92, 897, 399, 612, 566, 909, 634, 939, 85, 204, 325, 775, 965, 48, 640, 1013, 132, 973, 869, 181, 1001, 847, 144, 661, 228, 955, 792, 720, 910, 374, 854, 561, 306, 582, 170, 676, 449, 96, 198, 607, 257, 882, 691, 293, 931, 817, 862, 388, 611, 555, 974, 369, 1000, 918, 202, 384, 513, 907, 371, 556, 955, 384, 24, 700, 131, 378, 99, 575, 932, 735, 124, 964, 595, 943, 740, 149, 210, 563, 412, 783, 42, 59, 706, 37, 779, 87, 44, 873, 12, 771, 308, 81, 33, 183, 129, 807, 276, 175, 555, 372, 185, 445, 489, 590, 287, 281, 638, 771, 516, 95, 227, 876, 270, 881, 297, 329, 20, 608, 841, 411, 451, 249, 181, 324, 1005, 830, 783, 865, 261, 964, 750, 140, 1021, 599, 462, 890, 622, 844, 697, 529, 153, 926, 150, 111, 26, 465, 957, 890, 887, 118, 446, 596, 674, 873, 929, 229, 508, 764, 122, 327, 470, 288, 526, 840, 697, 153, 592, 42, 275, 553, 439, 208, 780, 167, 112, 350, 1018, 130, 736, 887, 813, 217, 382, 25, 68, 979, 1008, 772, 235, 717, 999, 292, 727, 1023, 702, 710, 728, 556, 33, 12, 617, 213, 139, 695, 1004, 422, 638, 669, 624, 489, 771, 540, 980, 218, 664, 822, 308, 175, 149, 950, 542, 580, 548, 808, 394, 74, 298, 920, 900, 815, 731, 947, 877, 772, 800, 778, 395, 540, 430, 200, 424, 62, 342, 866, 45, 803, 931, 89, 34, 646, 233, 768, 37, 769, 460, 291, 198, 895, 950, 255, 81, 447, 137, 190, 130, 210, 369, 292, 377, 348, 169, 885, 805, 177, 538, 324, 872, 509, 804, 115, 799, 30, 754, 290, 147, 274, 222, 341, 510, 515, 70, 358, 909, 557, 886, 766, 323, 624, 92, 342, 424, 552, 972, 663, 415, 658, 711, 968, 275, 861, 44, 84, 434, 810, 94, 175, 406, 202, 858, 499, 481, 988, 330, 541, 1004, 210, 618, 955, 897, 983, 576, 17, 107, 165, 607, 537, 629, 192, 196, 308, 137, 953, 860, 94, 892, 751, 88, 161, 148, 585, 456, 88, 14, 315, 594, 121, 885, 952, 833, 716, 733, 933, 282, 801, 427, 783, 471, 285, 277, 979, 325, 535, 228, 891, 596, 648, 969, 574, 654, 518, 257, 137, 208, 464, 950, 140, 5, 424, 349, 942, 283, 587, 821, 1007, 434, 220, 820, 740, 874, 787, 374, 291, 564, 671, 438, 827, 940, 824, 509, 1021, 787, 942, 856, 450, 327, 491, 54, 817, 95, 60, 337, 667, 637, 164, 571, 946, 107, 202, 301, 782, 890, 839, 551, 680, 649, 14, 1017, 904, 721, 1017, 535, 505, 848, 986, 777, 740, 775, 210, 456, 469, 474, 963, 573, 401, 57, 883, 750, 664, 281, 5, 613, 1005, 306, 344, 543, 567, 154, 789, 354, 358, 698, 408, 412, 30, 930, 372, 822, 632, 948, 855, 503, 8, 618, 1010, 138, 695, 897, 852, 377, 933, 722, 149, 886, 1009, 260, 127, 811, 578, 533, 805, 325, 977, 113, 944, 651, 238, 361, 991, 860, 556, 64, 928, 917, 455, 266, 445, 604, 624, 420, 340, 845, 275, 370, 843, 227, 226, 940, 644, 909, 229, 827, 898, 370, 129, 808, 25, 699, 293, 356, 838, 135, 4, 227, 890, 681, 445, 418, 285, 837, 27, 737, 249, 366, 948, 202, 438, 198, 930, 648, 638, 607, 73, 247, 853, 136, 708, 214, 476, 621, 324, 103, 853, 328, 596, 224, 257, 646, 348, 108, 927, 970, 980, 520, 150, 998, 477, 393, 684, 559, 1, 361, 692, 551, 90, 75, 500, 739, 636, 344, 97, 852, 283, 719, 33, 116, 455, 866, 429, 828, 826, 691, 174, 746, 133, 442, 94, 348, 402, 420, 707, 405, 942, 186, 976, 376, 677, 874, 703, 517, 498, 499, 206, 415, 366, 856, 739, 420, 586, 219, 952, 539, 375, 23, 461, 720, 355, 603, 52, 999, 815, 721, 574, 445, 816, 1019, 105, 641, 395, 972, 910, 328, 607, 519, 686, 246, 415, 528, 170, 167, 310, 940, 595, 392, 221, 834, 682, 835, 115, 861, 335, 742, 220, 247, 101, 416, 222, 179, 509, 175, 606, 627, 674, 781, 737, 746, 849, 67, 457, 1012, 126, 139, 625, 731, 156, 697, 121, 322, 449, 710, 857, 291, 976, 4, 701, 239, 678, 172, 724, 857, 583, 661, 903, 797, 628, 903, 835, 605, 989, 615, 870, 380, 710, 110, 330, 101, 695, 846, 918, 508, 672, 594, 36, 238, 244, 251, 393, 767, 282, 22, 430, 230, 983, 401, 154, 1007, 120, 678, 896, 386, 390, 711, 397, 347, 587, 1020, 951, 79, 831, 585, 200, 814, 134, 560, 700, 171, 452, 139, 755, 314, 476, 346, 388, 126, 719, 851, 198, 699, 901, 18, 710, 448, 351, 665, 644, 326, 425, 165, 571, 178, 440, 665, 674, 915, 866, 463, 754, 136, 950, 748, 47, 497, 1013, 640, 930, 338, 158, 525, 631, 815, 887, 289, 803, 116, 600, 637, 410, 175, 499, 876, 565, 1002, 623, 577, 333, 887, 586, 147, 773, 776, 644, 49, 77, 294, 117, 494, 561, 110, 979, 180, 562, 72, 859, 434, 1007, 286, 516, 75, 597, 491, 322, 888, 533, 209, 43, 499, 29, 411, 856, 181, 305, 963, 615, 778, 259, 373, 877, 746, 858, 381, 886, 613, 91, 69, 618, 523, 13, 617, 226, 422, 168, 929, 379, 290, 923, 100, 218, 307, 345, 211, 789, 735, 669, 585, 275, 410, 921, 552, 235, 636, 285, 665, 659, 708, 173, 724, 302, 823, 1, 139, 708, 903, 732, 868, 442, 967, 916, 163, 51, 243, 871]],  # noqa: E231
