Problem Statement
A letter S shape is a set of cells in a square grid that can be painted as follows.
- Paint a horizontal contiguous segment that consists of at least two cells. Let L and R be the leftmost and the rightmost of these cells.
- Starting at L, paint a vertical contiguous segment going upwards. In addition to L this segment must contain at least two more cells. Let the topmost of those cells be T.
- Starting at T, paint a horizontal contiguous segment going to the right. In addition to T this segment must contain at least one more cell.
- Similarly to the previous two steps, paint a vertical segment going down from R to B (at least two new cells) and then from B going left (at least one new cell).
Below are several valid letter S shapes. The leftmost one is the smallest valid letter S shape.
** ***** **
* * *
** *** *
* * *******
** * *
** *******
You are given a grid with R rows and C columns. Both rows and columns are numbered starting from zero. This grid contains some obstacles: for each valid i, there is an obstacle blocking the cell in row obr[i], column obc[i]. Cells with obstacles cannot be painted.
Count all ways in which a letter S shape can be painted into the given grid. Return that count modulo 10^9 + 7.
Definition
- Class:
- LetterS
- Method:
- count
- Parameters:
- int, int, int[], int[]
- Returns:
- int
- Method signature:
- int count(int R, int C, int[] obr, int[] obc)
- (be sure your method is public)
Constraints
- R will be between 1 and 1000, inclusive.
- C will be between 1 and 1000, inclusive.
- obr will contain between 0 and min(500, R*C) elements, inclusive.
- obc will contain the same number of elements as obr.
- Each element of obr will be between 0 and R-1, inclusive.
- Each element of obc will be between 0 and C-1, inclusive.
- The cells described by obr and obc will be distinct.
Examples
5
2
{}
{}
Returns: 1
The only valid solution is the smallest possible letter S shape.
4
4
{2}
{3}
Returns: 0
No valid solutions, the grid is not tall enough to contain a letter S shape.
6
3
{1, 3}
{1, 0}
Returns: 12
The grid looks as follows, with X denoting blocked cells: ... .X. ... X.. ... ... There are 12 possible letter S shapes, one of them is shown below: *** *X. *** X.* ..* .**
30
47
{}
{}
Returns: 190761735
Don't forget about the modulo.
1
1
{}
{}
Returns: 0
1
1
{0}
{0}
Returns: 0
1000
1000
{}
{}
Returns: 49961127
311
57
{47, 237, 268, 230, 300, 236, 286, 15, 203, 107, 178, 160, 292, 275, 283, 65, 3, 191, 33, 114, 37, 288, 279, 166, 123, 296, 33, 22, 194, 252, 17, 284, 216, 93, 112, 218, 250, 233, 298, 25, 300, 219, 235, 44, 265, 264, 58, 196, 236, 55, 35, 0, 47, 266, 70, 55, 58, 138, 169, 134, 149, 266, 20, 200, 84, 6, 63, 176, 260, 50, 38, 251, 46, 294, 44, 123, 224, 302, 125, 205, 75, 297, 83, 169, 202, 250, 120, 116, 90, 300, 81, 83, 224, 74, 47, 141, 53, 3, 90, 19, 192, 17, 283, 146, 291, 185, 15, 10, 216, 284, 107, 55, 60, 255, 68, 310, 171, 21, 298, 287, 307, 163, 41, 154, 12, 54, 241, 157, 301, 236, 62, 13, 249, 266, 122, 281, 72, 289, 232, 302, 134, 29, 281, 156, 213, 170, 89, 219, 136, 75, 96, 111, 306, 213, 99, 97, 159, 86, 269, 234, 107, 192, 251, 304, 199, 248, 18, 244, 191, 24, 71, 45, 189, 155, 32, 254, 3, 249, 241, 100, 208, 177, 193, 133, 262, 71, 301, 56, 12, 93, 285, 114, 97, 208, 180, 184, 176, 273, 159, 153, 235, 104, 242, 9, 224, 30, 251, 25, 229, 219, 297, 23, 170, 265, 72, 52, 212, 28, 254, 193, 120, 174, 250, 101, 204, 203, 211, 170, 284, 49, 65, 95, 34, 117, 268, 304, 1, 214, 247, 210, 131, 213, 214, 72, 24, 28, 209, 215, 90, 153, 12, 217, 148, 247, 25, 209, 211, 147, 146, 272, 249, 137, 309, 216, 215, 156, 46, 36, 309, 226, 47, 178, 167, 287, 216, 308, 145, 46, 224, 131, 173, 33, 39, 295, 20, 278, 92, 154, 225}
{54, 12, 32, 38, 26, 39, 8, 1, 0, 32, 7, 6, 48, 22, 37, 39, 7, 35, 30, 33, 35, 33, 36, 51, 52, 52, 50, 41, 54, 20, 23, 13, 21, 5, 43, 23, 32, 40, 7, 38, 6, 6, 29, 50, 49, 7, 48, 31, 41, 56, 46, 1, 22, 5, 7, 37, 26, 25, 10, 20, 36, 33, 37, 6, 4, 16, 10, 12, 7, 45, 8, 14, 16, 43, 0, 25, 39, 38, 22, 6, 0, 30, 13, 5, 32, 38, 32, 27, 18, 8, 39, 49, 49, 14, 8, 40, 16, 6, 38, 43, 2, 50, 23, 2, 32, 37, 25, 19, 37, 3, 29, 52, 9, 30, 12, 7, 27, 11, 55, 3, 45, 49, 38, 51, 35, 21, 50, 25, 55, 1, 32, 34, 31, 45, 54, 6, 32, 46, 52, 6, 34, 55, 40, 25, 45, 34, 42, 32, 4, 4, 52, 52, 34, 23, 20, 49, 26, 46, 17, 33, 18, 34, 1, 37, 0, 50, 12, 34, 46, 47, 4, 17, 23, 36, 10, 16, 16, 21, 13, 20, 46, 49, 52, 22, 51, 47, 25, 27, 25, 0, 11, 29, 8, 21, 51, 54, 46, 13, 3, 28, 16, 46, 0, 27, 27, 21, 21, 24, 39, 51, 55, 46, 46, 30, 29, 19, 18, 25, 27, 24, 40, 42, 29, 18, 38, 54, 46, 25, 1, 54, 9, 52, 56, 12, 55, 44, 2, 35, 51, 3, 45, 22, 22, 43, 38, 9, 30, 23, 31, 26, 10, 40, 4, 24, 22, 48, 30, 50, 46, 23, 39, 16, 36, 55, 26, 32, 41, 1, 19, 29, 25, 2, 27, 14, 27, 56, 39, 6, 38, 18, 28, 19, 31, 51, 51, 43, 39, 38, 20}
Returns: 322890072
900
638
{}
{}
Returns: 936823146
542
403
{}
{}
Returns: 31890342
975
989
{}
{}
Returns: 510842403
985
979
{266, 287, 568, 480, 702, 183, 947, 552, 221, 224, 920, 516, 555, 566, 527, 623, 778, 183, 800, 980, 255, 369, 519, 322, 465, 53, 542, 810, 143, 292, 699, 683, 189, 263, 705, 303, 964, 274, 711, 829, 821, 752, 960, 593, 903, 758, 241, 957, 943, 266, 262, 805, 429, 297, 890, 540, 165, 864, 425, 769, 626, 611, 475, 528, 26, 410, 430, 162, 706, 924, 455, 900, 113, 47, 511, 507, 460, 933, 691, 423, 687, 95, 603, 685, 193, 763, 712, 26, 301, 400, 809, 203, 186, 564, 280, 853, 412, 729, 49, 188, 872, 753, 91, 627, 969, 80, 607, 771, 554, 688, 946, 706, 77, 296, 183, 30, 498, 518, 649, 977, 139, 657, 778, 623, 662, 873, 958, 754, 322, 567, 237, 3, 624, 235, 272, 232, 628, 542, 785, 967, 41, 331, 302, 951, 945, 276, 209, 336, 96, 222, 364, 253, 967, 555, 784, 506, 633, 114, 642, 147, 60, 236, 820, 122, 149, 335, 88, 886, 298, 544, 328, 946, 833, 657, 310, 910, 753, 57, 845, 459, 292, 262, 676, 496, 187, 715, 505, 545, 371, 890, 497, 476, 622, 27, 521, 90, 537, 957, 178, 937, 111, 429, 25, 504, 493, 869, 198, 244, 321, 390, 51, 120, 671, 96, 982, 779, 101, 141, 748, 251, 936, 108, 156, 36, 149, 261, 865, 281, 625, 250, 619, 301, 947, 197, 288, 24, 893, 896, 845, 241, 578, 791, 231, 344, 387, 38, 202, 265, 361, 85, 228, 307, 750, 133, 546, 201, 177, 623, 485, 745, 93, 37, 88, 647, 331, 823, 398, 178, 525, 606, 775, 314, 287, 568, 247, 69, 255, 605, 504, 937, 388, 326, 772, 102, 39, 685, 216, 728, 12, 766, 266, 280, 176, 814, 834, 949, 620, 840, 23, 393, 820, 141, 645, 790, 908, 189, 267, 880, 895, 412, 328, 636, 409, 280, 891, 802, 84, 51, 755, 301, 540, 757, 88, 733, 918, 160, 920, 918, 200, 381, 289, 561, 808, 794, 680, 810, 60, 369, 858, 459, 321, 654, 743, 191, 626, 820, 392, 791, 222, 345, 238, 149, 418, 689, 212, 343, 851, 716, 297, 189, 86, 574, 803, 38, 315, 465, 378, 772}
{351, 787, 626, 334, 375, 181, 894, 76, 331, 227, 832, 225, 229, 366, 765, 955, 580, 618, 141, 641, 241, 142, 183, 624, 829, 855, 573, 471, 91, 710, 504, 809, 160, 689, 495, 456, 736, 640, 460, 437, 328, 444, 389, 684, 572, 171, 465, 180, 181, 530, 468, 180, 308, 256, 795, 349, 327, 234, 775, 194, 759, 376, 952, 254, 316, 328, 99, 806, 588, 685, 552, 715, 261, 411, 267, 79, 282, 121, 872, 708, 326, 310, 165, 841, 245, 935, 784, 441, 212, 690, 652, 351, 258, 714, 96, 467, 671, 206, 844, 832, 719, 623, 568, 666, 540, 892, 153, 42, 210, 463, 225, 924, 261, 298, 617, 711, 193, 435, 214, 885, 249, 649, 164, 693, 829, 423, 739, 901, 382, 310, 594, 263, 696, 44, 965, 552, 105, 944, 967, 109, 374, 151, 32, 921, 316, 341, 832, 584, 809, 839, 9, 411, 213, 837, 606, 638, 212, 210, 879, 790, 326, 943, 771, 384, 835, 381, 941, 70, 164, 536, 583, 159, 907, 900, 730, 277, 731, 873, 181, 13, 42, 338, 744, 290, 903, 666, 77, 230, 235, 891, 861, 796, 871, 557, 880, 337, 119, 458, 625, 938, 540, 316, 820, 520, 101, 246, 570, 282, 465, 664, 220, 668, 974, 811, 226, 260, 305, 251, 754, 471, 343, 908, 284, 400, 387, 345, 585, 470, 613, 705, 645, 636, 729, 412, 680, 583, 333, 680, 927, 302, 947, 945, 33, 516, 445, 783, 259, 97, 354, 700, 561, 750, 922, 751, 854, 511, 765, 319, 25, 560, 708, 221, 219, 205, 470, 745, 890, 275, 523, 885, 972, 930, 758, 226, 186, 694, 971, 935, 829, 193, 271, 446, 771, 571, 777, 54, 787, 551, 877, 168, 498, 611, 501, 224, 313, 266, 266, 934, 670, 673, 760, 870, 291, 34, 696, 406, 154, 544, 931, 453, 654, 900, 580, 566, 585, 540, 738, 248, 661, 918, 286, 919, 548, 261, 149, 284, 127, 772, 606, 664, 711, 934, 182, 868, 348, 654, 77, 114, 312, 553, 233, 712, 174, 253, 391, 509, 309, 521, 203, 406, 680, 606, 672, 940, 108, 369, 794, 870, 529, 88, 331, 482, 971, 675, 810, 54, 651, 116}
Returns: 47552560
731
64
{381, 130, 505, 504, 624, 606, 400, 534, 185, 675, 619, 365, 313, 456, 54, 705, 96, 142, 367, 19, 501, 571, 222, 490, 710, 98, 268, 436, 434, 704, 285, 647, 408, 713, 167, 138, 235, 36, 55, 672, 397, 558, 628, 170, 524, 206, 561, 210, 52, 190, 59, 154, 176, 556, 563, 212, 103, 493, 54, 38, 16, 432, 138, 236, 703, 638, 546, 437, 503, 563, 17, 438, 55, 20, 694, 718, 2, 710, 510, 241, 500, 570, 62, 639, 518, 143, 685, 698, 137, 175, 708, 567, 690, 546, 379, 178, 526, 646, 670, 377, 609, 223, 284, 297, 477, 502, 522, 719, 151, 126, 105, 433, 246, 584, 264, 476, 340, 522, 585, 262, 9, 465, 340, 534, 192, 180}
{18, 18, 26, 1, 46, 25, 24, 55, 49, 14, 48, 1, 48, 23, 27, 26, 44, 6, 61, 13, 24, 61, 27, 40, 29, 8, 19, 10, 21, 33, 28, 47, 4, 43, 37, 26, 18, 52, 49, 20, 58, 13, 47, 54, 41, 54, 57, 63, 18, 59, 23, 46, 42, 51, 37, 61, 16, 61, 33, 19, 42, 8, 21, 17, 2, 19, 15, 7, 56, 30, 15, 52, 62, 12, 23, 16, 30, 34, 51, 13, 47, 6, 13, 28, 33, 53, 16, 8, 46, 25, 4, 55, 6, 34, 25, 49, 13, 35, 60, 59, 28, 3, 12, 12, 29, 24, 49, 63, 35, 33, 9, 2, 41, 40, 61, 59, 47, 28, 58, 1, 35, 33, 0, 8, 4, 47}
Returns: 407013672
272
44
{}
{}
Returns: 872136007
970
986
{331, 405, 904, 929, 192, 365, 518, 932, 181, 51, 34, 181, 632, 129, 203, 494, 419, 389, 122, 195, 671, 915, 476, 826, 141, 716, 686, 429, 595, 151, 878, 203, 29, 288, 405, 373, 341, 338, 427, 113, 185, 583, 218, 697, 140, 625, 20, 95, 169, 253, 24, 662, 897, 710, 146, 72, 271, 309, 376, 302, 849, 760, 834, 350, 233, 809, 734, 817, 512, 679, 520, 427, 603, 913, 312, 495, 57, 136, 701, 278, 213, 98, 568, 706, 392, 348, 395, 849, 155, 8, 889, 419, 602, 739, 683, 47, 952, 162, 463, 304, 796, 131, 166, 807, 130, 217, 570, 773, 315, 360, 185, 800, 615, 198, 715, 271, 965, 748, 595, 527, 685, 509, 119, 7, 816, 375, 642, 831, 961, 636, 575, 237, 945, 645, 917, 45, 88, 937, 123, 713, 536, 610, 436, 800, 363, 692, 329, 593, 598, 240, 879, 263, 515, 518, 963, 207, 877, 940, 868, 25, 832, 45, 937, 930, 29, 764, 90, 461, 769, 827, 279, 456, 619, 143, 595, 803, 5, 187, 493, 413, 881, 255, 362, 255, 738, 597, 613, 688, 543, 944, 652, 809, 245, 188, 136, 879, 931, 331, 454}
{976, 431, 23, 183, 45, 272, 478, 215, 522, 12, 783, 588, 416, 916, 36, 549, 589, 12, 118, 634, 53, 705, 235, 567, 569, 365, 402, 506, 344, 559, 661, 57, 475, 219, 91, 161, 290, 250, 379, 400, 617, 41, 984, 939, 780, 770, 330, 77, 158, 899, 545, 843, 359, 48, 458, 643, 255, 424, 761, 123, 216, 845, 172, 709, 543, 516, 946, 741, 547, 163, 642, 491, 472, 349, 923, 35, 710, 426, 757, 814, 265, 717, 429, 344, 197, 901, 263, 37, 609, 600, 587, 397, 314, 545, 348, 160, 708, 429, 70, 687, 954, 945, 943, 265, 648, 952, 508, 981, 447, 912, 503, 879, 257, 363, 380, 383, 376, 351, 217, 39, 189, 717, 280, 968, 903, 690, 167, 747, 387, 350, 199, 111, 280, 527, 831, 872, 75, 249, 637, 743, 318, 797, 13, 811, 526, 712, 280, 849, 692, 69, 151, 91, 436, 895, 936, 263, 157, 48, 831, 8, 381, 181, 974, 60, 74, 259, 766, 914, 809, 779, 737, 433, 396, 634, 469, 664, 772, 532, 451, 841, 801, 204, 248, 493, 246, 383, 64, 468, 889, 312, 969, 844, 979, 183, 31, 8, 967, 274, 165}
Returns: 123140275
938
727
{454, 747, 600, 211, 609, 821, 273, 508, 813, 547, 475, 216, 607, 189, 250, 772, 630, 256, 838, 397, 94, 520, 281, 49, 174, 599, 216, 265, 372, 872, 231, 824, 594, 638, 47, 342, 680, 861, 533, 359, 738, 740, 789, 529, 35, 379, 844, 523, 132, 349, 794, 927, 564, 272, 639, 28, 796, 130, 98, 425, 814, 741, 678, 747, 558, 835, 895, 198, 874, 149, 445, 316, 898, 162, 328, 725, 646, 674, 62, 910, 39, 427, 17, 354, 664, 809, 786, 491, 901, 267, 372, 672, 522, 685, 899, 429, 497, 353, 509, 309, 555, 240, 581, 285, 551}
{191, 672, 684, 64, 189, 626, 708, 421, 450, 234, 330, 376, 173, 345, 208, 96, 468, 590, 405, 721, 510, 635, 24, 373, 532, 376, 200, 290, 459, 328, 668, 480, 222, 583, 620, 568, 118, 394, 520, 311, 0, 215, 575, 229, 591, 443, 646, 470, 624, 674, 47, 103, 639, 391, 252, 100, 560, 626, 404, 188, 507, 313, 386, 600, 631, 558, 61, 338, 10, 509, 373, 289, 519, 200, 254, 41, 689, 228, 448, 37, 108, 607, 404, 227, 567, 639, 703, 260, 261, 361, 427, 625, 596, 648, 566, 334, 472, 648, 24, 171, 335, 397, 648, 528, 155}
Returns: 326228068
956
950
{707, 795, 192, 71, 793, 535, 417, 785, 370, 766, 98, 310, 374, 261, 553, 195, 800, 351, 602, 679, 624, 251, 430, 513, 593, 152, 142, 87, 412, 494, 683, 235, 835, 300, 954, 220, 626, 657, 164, 733, 898, 133, 737, 436, 205, 807, 519, 883, 179, 788, 721, 447, 380, 213, 874, 342, 835, 20, 672, 881, 408, 288, 878, 518, 529, 188, 927, 890, 789, 94, 120, 829, 351, 295, 535, 896, 193, 53, 643, 620, 24, 901, 156, 838, 285, 469, 901, 825, 939, 213, 60, 885, 4, 915, 505, 574, 623, 731, 304, 923, 949, 613, 827, 376, 859, 216, 939, 398, 66, 567, 564, 174, 804, 313, 885, 31, 737, 195, 816, 392, 203, 863, 475, 307, 624, 177, 100, 445, 765, 508, 909, 191, 601, 724, 875, 820, 70, 826, 140, 311, 163, 149, 777, 796, 632, 295, 854, 255, 323, 843, 168, 683, 566, 51, 518, 953, 58, 804, 103, 578, 691, 733, 295, 323, 71, 79, 147, 828, 173, 617, 797, 91, 686, 833, 242, 64, 206, 637, 519, 676, 131, 68, 578, 711, 608, 80, 223, 125, 852, 831, 225, 691, 593, 530, 527, 900, 25, 392, 230, 696, 316, 666, 929, 949, 68, 327, 905, 869, 376, 321}
{888, 538, 219, 32, 574, 336, 473, 775, 36, 566, 535, 590, 850, 79, 659, 216, 411, 456, 84, 751, 4, 882, 935, 932, 917, 67, 559, 591, 39, 797, 327, 519, 409, 507, 480, 823, 696, 446, 315, 23, 716, 661, 7, 421, 41, 317, 424, 939, 436, 739, 765, 90, 610, 491, 416, 650, 120, 214, 494, 64, 710, 878, 923, 419, 567, 589, 451, 647, 935, 277, 743, 862, 307, 614, 182, 83, 228, 831, 819, 446, 204, 731, 250, 807, 926, 737, 807, 454, 790, 265, 463, 479, 898, 404, 521, 460, 184, 654, 291, 524, 167, 835, 396, 217, 496, 163, 378, 174, 175, 923, 40, 674, 171, 375, 275, 43, 791, 202, 552, 117, 226, 570, 678, 728, 54, 738, 164, 895, 675, 90, 726, 875, 874, 479, 361, 42, 697, 638, 484, 161, 912, 487, 551, 837, 617, 436, 788, 616, 214, 188, 661, 886, 37, 207, 473, 738, 909, 916, 552, 122, 691, 616, 876, 417, 504, 863, 699, 104, 199, 114, 79, 221, 348, 760, 677, 492, 347, 523, 452, 534, 272, 789, 293, 573, 317, 679, 362, 39, 409, 937, 567, 720, 842, 379, 778, 442, 751, 294, 497, 597, 504, 440, 748, 635, 872, 827, 220, 922, 737, 385}
Returns: 826446903
793
428
{41, 558, 518, 146, 2, 715, 14, 549, 620}
{53, 57, 245, 154, 42, 26, 277, 124, 60}
Returns: 728482486
851
24
{}
{}
Returns: 352142632
522
555
{404, 371, 375, 48, 21, 21, 404, 45, 284, 365, 377, 340, 453, 389, 490, 494, 509, 433, 81, 394, 60, 264, 168, 358, 259, 108, 454, 262, 116, 485, 109, 185, 299, 521, 33, 174, 172, 261, 131, 69, 481, 393, 474, 253, 312, 180, 452, 62, 392, 337, 58, 168, 293, 423, 14, 49, 46, 179, 233, 120, 489, 433, 97, 117, 400, 410, 260, 384, 189, 244, 335, 306, 41, 251, 92, 194, 385, 37, 75, 84, 56, 86, 518, 303, 367, 76, 101, 287, 361, 91, 432, 268, 153, 281, 98, 374, 428, 163, 9, 378, 166, 42, 497, 457, 279, 314, 238, 510, 328, 116, 107, 460, 496, 446, 342, 320, 428, 164, 206, 211, 20, 7, 287, 297, 231, 53, 421, 320, 201, 276, 348, 15, 512, 215, 461, 262, 28, 252, 337, 228, 296, 157, 180, 421, 174, 45, 311, 189, 120, 187, 374, 381, 114, 517, 124, 239, 484, 280, 73, 91, 489, 328, 189, 264, 439, 313, 199, 295, 235, 394, 353, 306, 7, 259, 5, 187, 408, 158, 333, 371, 86, 506, 387, 52, 378, 349, 94, 486, 149, 158, 403, 209, 353, 103, 349, 227, 205, 400, 292, 12, 458, 115, 58, 242, 321, 470, 231, 372, 401, 511, 25, 367, 3, 321, 376, 387, 502, 492, 51, 354, 518, 205, 507, 301, 332, 159, 110, 244, 49, 269, 273, 37, 253, 157, 341, 43, 203, 487, 374, 84, 249, 3, 392, 494, 344, 248, 72, 220, 277, 503, 220, 324, 405, 128, 418, 3, 175, 495, 256, 81, 401, 327, 56, 160, 126, 114, 509, 2, 265, 172, 89, 267, 165, 57, 122, 62, 9, 319, 21, 165, 107, 504, 328, 492, 133, 322, 52, 46, 286, 176, 500, 260, 178, 475, 281, 286, 252, 138, 328, 275, 108, 106, 454, 329, 25, 382, 410, 273, 117, 279, 457, 467, 259, 392, 194, 335, 121, 500, 102, 283, 276, 470, 235, 10, 103, 468, 246, 235, 22, 247, 430, 371, 344, 163, 269, 315, 347, 275, 31, 2, 207, 408, 351, 113, 360, 175, 511, 207, 368, 294, 155, 331, 82, 319, 87, 70, 394, 406, 453, 471, 454, 264, 478, 286, 240, 306, 81, 103, 514, 33, 413, 408, 289, 245, 83, 389, 4, 369, 323, 438, 8, 300, 387, 450, 446, 496, 404, 423, 507, 304, 432, 451, 133, 455, 498, 198, 32, 292, 458, 74, 440, 184, 25, 469, 430, 447, 26, 220, 240, 351, 342, 508, 300, 291, 271, 501, 211, 355, 125, 29, 209, 443, 388, 25, 502, 69, 421}
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Returns: 287970062
3
4
{}
{}
Returns: 0
803
823
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Returns: 769443075
902
793
{}
{}
Returns: 137787328
17
1
{}
{}
Returns: 0
713
77
{}
{}
Returns: 25783139
128
24
{}
{}
Returns: 677712860
951
717
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Returns: 322365520
373
594
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Returns: 192015255
2
3
{}
{}
Returns: 0
3
3
{}
{}
Returns: 0
275
456
{}
{}
Returns: 414717680
1000
976
{}
{}
Returns: 19099747
4
3
{}
{}
Returns: 0
542
466
{}
{}
Returns: 115462953
207
803
{159, 123, 132, 95, 47, 191, 128, 177, 98, 1, 203, 202, 111, 186, 168, 23, 172, 7, 59, 80, 119, 81, 49, 57, 11, 152, 14, 46, 123, 150, 176, 133, 97, 141, 188, 25, 164, 168, 190, 41, 97, 94, 56, 175, 168, 166, 139, 78, 162, 110, 34, 158, 13, 109, 52, 139, 168, 187, 84, 121, 1, 182, 21, 119, 174, 195, 41, 44, 154, 69, 136, 110, 123, 32, 14, 126, 11, 113, 60, 6, 195, 192, 9, 58, 114, 77, 100, 39, 15, 167, 32, 153, 139, 198, 165, 176, 14, 33, 169, 183, 53, 177, 164, 5, 203, 159, 37, 192, 199, 85, 50, 73, 69, 0, 154, 128, 191, 186, 46, 165, 33, 189, 2, 29, 122, 150, 175, 162, 152, 107, 83, 141, 13, 188, 90, 13, 75, 174, 27, 19, 152, 96, 91, 28, 78, 126, 170, 159, 162, 111, 90, 119, 70, 159, 119, 87, 65, 45, 73, 60, 200, 184, 88, 93, 132, 44, 167, 146, 121, 58, 100, 11, 93, 54, 73, 3, 104, 0, 154, 141, 134, 164, 125, 39, 16, 159, 170, 20, 166, 42, 3, 116, 74, 122, 118, 161, 184, 130, 133, 87, 17, 192, 139, 199, 171, 165, 33, 163, 53, 66, 0, 98, 100, 120, 34, 136, 16, 61, 190, 4, 86, 170, 66, 44, 53, 132, 58, 49, 177, 42, 72, 107, 17, 156, 16, 117, 23, 187, 97, 68, 200, 146, 95, 111, 184, 30, 179, 15, 25, 31, 94, 187, 166, 9, 7, 43, 198, 187, 54, 156, 160, 20, 117, 198, 179, 145, 101, 61, 18, 71, 147, 27, 196, 31, 120, 5, 95, 61, 5, 107, 47}
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Returns: 529982509
857
156
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Returns: 999224549
652
889
{}
{}
Returns: 576549688
2
4
{}
{}
Returns: 0
456
17
{}
{}
Returns: 153095271
1
947
{}
{}
Returns: 0
565
595
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Returns: 882511812
70
380
{}
{}
Returns: 863335933
130
343
{}
{}
Returns: 146142760
749
805
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Returns: 302448645
635
880
{}
{}
Returns: 69610988
268
969
{}
{}
Returns: 587396249
562
644
{}
{}
Returns: 933828508
1000
980
{}
{}
Returns: 636632020
964
965
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Returns: 502957040
132
102
{}
{}
Returns: 619486390
670
127
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Returns: 795491820
972
954
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Returns: 936068690
3
2
{}
{}
Returns: 0
576
385
{151, 369, 209, 319, 505, 149, 81, 205, 78, 312, 539, 269, 203, 78, 440, 520, 244, 446, 514, 476, 544, 312, 295, 238, 365, 202, 473, 66, 254, 390, 78, 105, 276, 227, 116, 236, 157, 312, 430, 148, 423, 455, 5, 550, 538, 7, 232, 21, 180, 298, 439, 210, 257, 477, 201, 298, 350, 315, 113, 375, 33, 491, 361, 66, 535, 200, 494, 345, 171, 170, 257, 39, 530, 441, 273, 317, 303, 408, 2, 560, 517, 130, 483, 445, 57, 85, 68, 480, 506, 423, 282, 141, 18, 229, 470, 171, 499, 177, 353, 252, 388, 464, 428, 160, 420, 367, 396, 208, 335, 32, 315, 121, 189, 283, 86, 1, 517, 76, 272, 503, 123, 242, 480, 112, 85, 5, 165, 59, 306, 200, 139, 108, 4, 112, 189, 168, 126, 477, 365, 184, 491, 161, 558, 479, 296, 84, 532, 296, 486, 164, 201, 333, 328, 101, 191, 338, 231, 567, 323, 375, 378, 262, 105, 386, 502, 529, 458, 189, 18, 298, 285, 465, 564, 62, 350, 349, 281, 183, 352, 70, 562, 555, 32, 351, 51, 438, 131, 384, 258, 505, 414, 116, 533, 500, 488, 351, 409, 331, 427, 469, 350, 423, 188, 510, 48, 304, 510, 79, 304, 155, 363, 15, 174, 214, 460, 440, 344, 301, 403, 101, 130, 236, 57, 262, 348, 126, 57, 281, 360, 313, 24, 56, 108, 269, 321, 94, 7, 402, 293, 367, 315, 163, 439, 305, 152, 408, 415, 534, 324, 204, 497, 450, 366, 524, 384, 431, 422, 341, 119, 25, 299, 387, 274, 381, 471, 135, 455, 73, 515, 473, 177, 498, 225, 99, 55, 20, 425, 504, 437, 222, 499, 417, 359, 475, 192, 251, 170, 98, 493, 303, 463, 535, 353, 133, 140, 60, 390, 516, 89, 554, 293, 399, 463, 149, 306, 270, 238, 314, 16, 195, 205, 76, 164, 530, 126, 366, 574, 247, 365, 136, 321, 90, 392, 558, 375, 567, 146, 12, 534, 472, 340, 425, 80, 536, 257, 71, 132, 366, 303, 530, 387, 42, 57, 474, 291, 108, 60, 310, 401, 566, 318, 535, 135, 293, 517, 193, 105, 91, 57, 392, 176, 317, 227, 512, 364, 112, 461, 177, 363, 258, 13, 260, 224, 324, 170, 568, 466, 307, 214, 325, 61, 359, 36, 150, 67, 563, 79, 351, 280, 383, 458, 250, 266, 123, 563, 514, 244, 197, 491, 159, 290, 424, 186}
{260, 101, 261, 317, 260, 222, 119, 180, 223, 70, 354, 106, 167, 4, 208, 158, 73, 222, 152, 19, 97, 103, 146, 261, 56, 362, 281, 204, 94, 240, 49, 117, 92, 304, 176, 315, 329, 186, 111, 328, 361, 276, 350, 42, 159, 255, 337, 17, 346, 177, 337, 79, 108, 30, 243, 229, 320, 178, 34, 168, 371, 236, 365, 166, 48, 226, 313, 128, 149, 61, 43, 232, 33, 317, 135, 223, 353, 216, 377, 13, 133, 137, 192, 170, 352, 358, 363, 129, 27, 185, 298, 350, 3, 48, 179, 215, 143, 236, 29, 282, 288, 294, 308, 120, 353, 379, 321, 101, 98, 364, 180, 126, 139, 202, 48, 360, 154, 256, 105, 183, 384, 224, 123, 171, 310, 167, 18, 166, 199, 19, 249, 92, 190, 103, 239, 139, 93, 34, 264, 148, 138, 301, 281, 308, 198, 292, 78, 355, 139, 206, 265, 327, 146, 288, 363, 355, 103, 219, 24, 357, 64, 60, 233, 33, 324, 88, 97, 120, 44, 199, 265, 288, 222, 189, 243, 122, 317, 299, 312, 89, 220, 71, 187, 40, 80, 82, 327, 257, 189, 144, 286, 197, 270, 268, 237, 295, 89, 164, 258, 183, 106, 272, 257, 196, 304, 69, 174, 50, 312, 150, 144, 280, 196, 111, 114, 355, 270, 191, 381, 153, 304, 32, 184, 84, 161, 351, 132, 281, 74, 77, 291, 76, 151, 341, 289, 250, 242, 329, 32, 261, 289, 67, 182, 63, 75, 256, 92, 311, 101, 295, 382, 362, 346, 350, 351, 206, 145, 152, 261, 69, 41, 292, 215, 19, 40, 39, 37, 145, 222, 224, 344, 51, 10, 122, 39, 123, 160, 72, 315, 116, 324, 17, 89, 336, 364, 81, 160, 17, 14, 33, 380, 365, 282, 113, 108, 169, 357, 55, 111, 351, 304, 35, 355, 93, 32, 350, 210, 233, 348, 166, 158, 40, 138, 25, 8, 344, 51, 379, 224, 217, 366, 265, 137, 343, 312, 4, 246, 300, 16, 111, 381, 95, 305, 317, 300, 321, 142, 38, 231, 361, 61, 159, 157, 143, 286, 5, 367, 340, 233, 173, 201, 8, 99, 13, 153, 361, 31, 325, 326, 201, 219, 311, 380, 202, 217, 130, 16, 290, 289, 99, 360, 216, 222, 294, 356, 166, 280, 369, 176, 83, 171, 275, 26, 6, 199, 372, 239, 107, 307, 306, 10, 343, 47, 265, 139, 134, 152, 103, 122, 131, 238, 186, 9}
Returns: 248241549
218
356
{49, 45, 124, 187, 23, 38, 160, 141, 96, 85, 127, 64, 35, 133, 194, 186, 22, 214, 45, 65, 178, 141, 127, 181, 20, 86, 198, 84, 23, 43, 92, 43, 59, 77, 174, 126, 116, 58, 216, 164, 191, 129, 138, 44, 198, 45, 4, 101, 184, 38, 161, 213, 35, 195, 86, 114, 137, 158, 60, 17, 173, 188, 148, 78, 96, 154, 75, 130, 97, 5, 74, 213, 182, 137, 6, 113, 24, 80, 213, 179, 207, 116, 209}
{265, 283, 161, 30, 315, 37, 117, 120, 84, 292, 333, 229, 142, 139, 84, 43, 198, 75, 276, 351, 13, 217, 79, 229, 179, 253, 113, 79, 345, 299, 119, 86, 107, 222, 17, 226, 138, 231, 50, 70, 168, 228, 270, 62, 15, 341, 179, 336, 250, 190, 51, 110, 343, 119, 313, 153, 46, 271, 183, 0, 209, 166, 91, 205, 194, 347, 197, 63, 103, 329, 11, 28, 14, 138, 66, 173, 320, 332, 276, 83, 85, 135, 249}
Returns: 279096553
78
274
{2, 57, 54, 3, 70, 35, 4, 4, 73, 68, 76, 23, 33}
{219, 137, 109, 119, 1, 151, 89, 35, 95, 85, 10, 152, 129}
Returns: 330901574
367
547
{}
{}
Returns: 915360394
2
5
{}
{}
Returns: 0
830
570
{594, 120, 2, 628, 753, 815, 322, 543, 805, 551, 261, 510, 192, 652, 551, 467, 453, 667, 621, 289, 148, 26, 537, 559, 578, 90, 309, 494, 219, 151, 708, 364, 212, 494, 327, 822, 173, 576, 166, 41, 708, 331, 43, 437, 529, 819, 299, 761, 443, 675, 19, 18, 524, 216, 71, 824, 788, 168, 580, 682}
{247, 552, 95, 66, 353, 466, 482, 226, 481, 125, 445, 102, 26, 64, 321, 199, 204, 184, 90, 145, 106, 325, 0, 264, 165, 47, 238, 170, 180, 479, 563, 538, 20, 82, 338, 398, 294, 230, 162, 350, 322, 403, 454, 569, 243, 28, 552, 466, 207, 97, 250, 175, 410, 290, 138, 439, 452, 69, 222, 162}
Returns: 868924090
1
17
{}
{}
Returns: 0
182
483
{}
{}
Returns: 874299894
947
1
{}
{}
Returns: 0
693
895
{422, 218, 62, 564, 415, 346, 611, 344}
{228, 558, 846, 833, 15, 136, 841, 845}
Returns: 294332965
187
758
{103, 87, 29, 43, 4, 130, 184, 55, 12, 177, 119, 119, 9, 131, 134, 72, 107, 160, 96, 140, 162, 4, 47, 15, 93, 109, 4, 101, 125, 171, 90, 168, 81, 55, 100, 67, 33, 120, 140, 19, 68, 71, 82, 133, 103, 58, 158, 110, 179, 69, 58, 159, 68, 118, 163, 145, 74, 145, 7, 17, 25, 22, 90, 38, 52, 103, 77, 97, 28, 27, 19, 132, 6, 7, 98, 51, 141, 24, 103, 38, 72, 2, 137, 180, 184, 27, 53, 6, 13, 57, 82, 43, 66, 165, 92, 10, 61, 101, 116, 104, 51, 138, 144, 57, 88, 178, 41, 68, 79, 19, 42, 137, 173, 143, 180, 170, 141, 106, 159, 34, 65, 31, 185, 135, 173, 17, 166, 183, 62, 69, 3, 147, 32, 30, 75, 154, 101, 130, 129, 158, 89, 159, 48, 89, 37, 166, 11, 22, 90, 23, 32, 53, 60, 50, 155, 7, 45, 96, 141, 72, 153, 63, 14, 29, 98, 6, 71, 111, 104, 16, 161, 139, 135, 26, 40, 60, 1, 139, 59, 22, 31, 151, 111, 171, 23, 50, 22, 112, 9}
{291, 702, 668, 427, 658, 1, 3, 341, 543, 505, 184, 51, 512, 332, 200, 247, 158, 117, 74, 176, 47, 522, 699, 631, 168, 239, 142, 499, 299, 411, 68, 262, 400, 589, 476, 332, 602, 48, 357, 323, 469, 328, 459, 611, 90, 257, 340, 614, 632, 575, 142, 327, 339, 727, 343, 320, 563, 545, 377, 130, 512, 425, 209, 374, 69, 42, 75, 450, 580, 500, 28, 261, 699, 605, 295, 169, 674, 177, 742, 609, 138, 33, 663, 394, 589, 555, 42, 470, 126, 694, 192, 586, 221, 548, 126, 589, 266, 435, 253, 712, 345, 215, 595, 419, 53, 662, 206, 585, 377, 285, 661, 420, 467, 713, 178, 438, 693, 389, 157, 50, 343, 688, 187, 645, 457, 667, 336, 665, 526, 711, 212, 462, 268, 267, 736, 510, 348, 570, 405, 131, 371, 556, 501, 162, 481, 314, 659, 318, 440, 30, 448, 602, 433, 697, 567, 403, 145, 43, 296, 49, 181, 670, 118, 401, 422, 487, 250, 57, 12, 279, 740, 0, 733, 108, 248, 625, 217, 264, 57, 431, 625, 692, 491, 507, 378, 712, 385, 114, 583}
Returns: 354631641
617
352
{}
{}
Returns: 817477819
390
499
{71, 147, 356, 226, 187, 173, 149, 22, 109, 264, 337, 221, 365, 243, 337, 175, 87, 204, 138, 199, 135, 269, 357, 131, 304, 136, 382, 386, 8, 21, 115, 384, 347, 215, 128, 265, 189, 314, 340, 58, 20, 247, 225, 373, 202, 242, 84, 341, 316, 302, 4, 57, 309, 26, 319, 277, 228, 86, 162, 100, 215, 259, 20, 190, 184, 304, 69, 31, 74, 107, 183, 344, 277, 304, 182, 139, 343, 170, 121, 11, 155, 35, 335, 153, 238, 230, 203, 166, 278, 266, 272, 251, 7, 102, 243, 135, 337, 93, 214, 113, 237, 308, 352, 226, 136, 170, 175, 211}
{213, 359, 152, 103, 154, 247, 181, 173, 249, 10, 12, 14, 407, 307, 413, 414, 387, 159, 451, 439, 419, 332, 390, 160, 419, 190, 287, 300, 423, 112, 247, 258, 182, 229, 276, 413, 142, 240, 438, 116, 295, 429, 126, 440, 479, 173, 479, 196, 27, 328, 201, 446, 182, 451, 90, 273, 0, 52, 11, 368, 76, 7, 175, 370, 21, 331, 7, 49, 367, 12, 114, 169, 78, 166, 258, 496, 339, 4, 389, 29, 127, 282, 430, 144, 5, 29, 265, 86, 459, 352, 460, 129, 271, 61, 218, 222, 493, 420, 116, 326, 420, 158, 496, 305, 216, 254, 351, 182}
Returns: 664189956
624
273
{561, 267, 326, 489, 308, 118, 501, 595, 605, 570, 116, 318, 229, 275, 544, 82, 584, 68, 331, 150, 198, 99, 611, 458, 430, 427, 437, 179, 147, 146, 216, 242, 218, 134, 369, 331, 530, 130, 169, 64, 325, 125, 572, 522, 389, 431, 217, 190, 520, 490, 417, 310, 188, 270, 71, 446, 300, 483, 353, 50, 523, 294, 263, 338, 333, 159, 516, 558, 60, 297, 282, 103, 131, 294, 179, 152, 17, 236, 41, 215, 232, 199, 67, 63, 94, 311, 327, 86, 11, 392, 375, 353, 565, 151, 276, 417, 426, 371, 181, 585, 269, 70, 61, 94, 91, 22, 76, 571, 17, 400, 411, 98, 110, 35, 109, 351, 67, 109, 202, 457, 66, 428, 24, 192, 11, 116, 232, 388, 592, 365, 22, 438, 527, 161, 484, 543, 372, 106, 430, 213, 488, 586, 248, 100, 122, 525, 174, 56, 532, 209, 334, 132, 416, 448, 529, 542, 464, 319, 351, 84, 330, 525, 226, 531, 450, 57, 300, 281, 512, 453, 590, 29, 390, 456, 537, 203, 373, 36, 161, 345, 84, 153, 151, 81, 564, 416, 174, 273, 481, 575, 565, 11, 164, 537, 366, 233, 413, 308, 112, 451, 505, 549, 323, 312, 527, 442, 381, 510, 151, 156, 287, 397, 594, 474, 549, 504, 79, 253, 91, 574, 525, 32, 237, 602, 495, 165, 429, 197, 20, 85, 82, 236, 44, 206, 275, 120, 29, 181, 589, 307, 3, 579, 537, 602, 296, 416, 56, 524, 213, 504, 421, 158, 257, 594, 614, 451, 433, 274, 466, 357, 48, 408, 459, 589, 209, 45, 219, 205, 23, 423, 51, 92, 524, 405, 94, 179, 491, 258, 119, 405, 520, 382, 566, 200, 352, 507, 290, 449, 456, 25, 323, 532, 564, 481, 115, 356, 239, 211, 151, 570, 383, 212, 297, 544}
{103, 40, 11, 163, 180, 16, 136, 101, 87, 190, 70, 48, 239, 84, 2, 65, 185, 39, 235, 45, 107, 151, 42, 239, 44, 161, 272, 150, 160, 148, 191, 215, 24, 4, 9, 229, 46, 186, 73, 7, 147, 119, 244, 238, 65, 110, 195, 164, 228, 95, 162, 152, 16, 243, 187, 169, 204, 11, 196, 90, 119, 23, 202, 265, 40, 217, 235, 214, 228, 238, 52, 90, 77, 43, 221, 231, 29, 46, 220, 105, 233, 89, 127, 237, 16, 79, 49, 97, 114, 239, 25, 180, 121, 158, 123, 249, 196, 262, 149, 213, 272, 126, 75, 92, 74, 7, 112, 40, 45, 179, 169, 187, 258, 14, 235, 124, 56, 173, 134, 150, 1, 152, 15, 204, 26, 11, 221, 120, 244, 243, 70, 171, 48, 1, 61, 72, 153, 196, 222, 214, 0, 217, 4, 155, 104, 199, 15, 192, 205, 5, 138, 169, 213, 206, 157, 221, 220, 76, 236, 93, 238, 50, 182, 22, 119, 265, 111, 43, 15, 166, 243, 84, 174, 224, 57, 29, 163, 58, 15, 59, 201, 84, 225, 154, 50, 3, 181, 111, 56, 8, 117, 30, 40, 18, 221, 213, 127, 116, 136, 215, 64, 212, 73, 151, 41, 202, 57, 100, 251, 160, 96, 138, 151, 238, 165, 114, 57, 222, 82, 86, 155, 43, 39, 107, 199, 32, 1, 260, 108, 26, 64, 218, 132, 218, 121, 226, 35, 204, 255, 43, 41, 133, 112, 155, 108, 217, 176, 44, 157, 121, 121, 203, 82, 80, 88, 198, 172, 31, 73, 54, 142, 213, 243, 170, 175, 118, 224, 236, 190, 64, 188, 223, 96, 246, 84, 122, 223, 193, 9, 158, 30, 42, 7, 168, 196, 8, 120, 161, 111, 169, 152, 218, 46, 259, 101, 208, 107, 248, 9, 229, 249, 79, 44, 220}
Returns: 53674606
225
484
{}
{}
Returns: 798074133
622
118
{}
{}
Returns: 90717568
966
982
{654, 706, 459, 907, 393, 426, 4, 568, 447, 534, 298, 538, 696, 347, 854, 400, 170, 720, 375, 760, 380, 487, 635, 55, 739, 906, 598, 883, 746, 616, 666, 5, 309, 795, 353, 149, 21, 895, 610, 235, 863, 765, 455, 225, 68, 347, 736, 625, 374, 53, 608, 794, 287, 721, 600, 559, 370, 166, 158, 927, 134, 796, 625, 962, 111, 624, 727, 316, 216, 35, 529, 890, 291, 534, 339, 324, 267, 902, 518, 414, 559, 818, 530, 203, 141, 556, 151, 894, 385, 735, 530, 394, 960, 352, 539, 65, 842, 89, 556, 501, 141, 587, 130, 927, 659, 34, 896, 23, 616, 437, 777, 163, 881, 172, 498}
{575, 683, 765, 957, 202, 437, 415, 458, 794, 709, 661, 529, 353, 767, 476, 504, 259, 305, 548, 528, 841, 112, 670, 902, 4, 840, 642, 240, 979, 820, 304, 823, 973, 277, 656, 755, 217, 936, 65, 78, 231, 660, 312, 581, 951, 479, 221, 453, 505, 0, 473, 823, 100, 959, 345, 43, 829, 66, 145, 888, 561, 665, 817, 243, 414, 387, 200, 232, 556, 314, 881, 277, 973, 588, 919, 542, 435, 4, 615, 669, 476, 508, 566, 712, 14, 204, 85, 830, 88, 242, 271, 754, 592, 101, 267, 746, 614, 487, 850, 596, 494, 2, 53, 59, 719, 719, 286, 365, 80, 690, 646, 35, 903, 548, 648}
Returns: 908820122
983
889
{}
{}
Returns: 822007218
497
321
{134, 52, 185, 396, 39, 457, 303, 281, 380, 478, 443, 78, 430, 183, 317, 209, 238, 172, 268, 121, 232, 467, 429, 468, 73, 264, 461, 92, 391, 410, 260, 208, 274, 151, 411, 62, 440, 196, 120, 244, 496, 273, 263, 110}
{137, 279, 196, 32, 161, 53, 277, 89, 110, 190, 136, 40, 171, 318, 317, 295, 152, 82, 235, 98, 111, 85, 171, 236, 297, 255, 187, 111, 252, 269, 318, 7, 32, 176, 283, 32, 59, 224, 313, 157, 64, 140, 290, 278}
Returns: 138962690
2
2
{}
{}
Returns: 0
246
809
{}
{}
Returns: 343669167
246
629
{}
{}
Returns: 787725462
4
2
{}
{}
Returns: 0
101
666
{}
{}
Returns: 493064780
978
965
{}
{}
Returns: 158565554
376
942
{}
{}
Returns: 52777561
987
620
{}
{}
Returns: 490095529
4
4
{2 }
{3 }
Returns: 0
1000
999
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Returns: 869798252
886
738
{131, 854, 56, 112, 802, 845, 743, 744, 594, 854, 698, 396, 269, 50 }
{161, 446, 715, 274, 242, 653, 88, 294, 150, 199, 11, 565, 357, 1 }
Returns: 986917522